Answer: To find the x-intercept, substitute in
0
for
y
and solve for
x
. To find the y-intercept, substitute in
0
for
x
and solve for
y
.
x-intercept(s):
(
2
+
2
√
3
,
0
)
,
(
2
−
2
√
3
,
0
)
y-intercept(s):
(
0
,
8
)
Step-by-step explanation: To find the x-intercept, substitute in
0
for
y
and solve for
x
. To find the y-intercept, substitute in
0
for
x
and solve for
y
.
x-intercept(s):
(
2
+
2
√
3
,
0
)
,
(
2
−
2
√
3
,
0
)
y-intercept(s):
(
0
,
8
)
what is the maximum number of real zeros a polynomial function of degree three can have?
A polynomial can have as many real zeros as its degree, hence one with three degrees can have as many as three zeros.
What are the roots of an equation?The roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.
A polynomial with n degrees can have as many variables as n in total.
For example, a quadratic equation ax² + bx + c = 0 is a two-degree equation so it has a maximum of two roots or zeros.
A polynomial with the given degree structure will have exactly 3 roots because it has 3 degrees.
Hence "The maximum number of real zeros in a polynomial will be same as its degree thus 3 degrees will have 3 zeros".
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Despite his name, Mr. Bean likes to eat lots of fruit. He finds that four apples and two oranges cost £1.54 and that two oranges and four bananas cost £1.70. How much would he have to pay if he bought one apple, one orange and one banana?
The cost of one apple, one orange and one banana is $0.81
To solve this equation, we would write out equations on this.
let x represent appleslet y represent orangez represent bananasWhat is an EquationThis is a mathematical statement used to represent word problems.
\(4x+2y=1.54...equation(i)\\2y+4z= 1.70...equation (ii)\)
when we add both equations, the resultant value is
\(4x+4y+4z=3.24\)
We can further divide through by 4 to know the cost of one apple, one orange and one banana
\(\frac{4x+4y+4z}{4}=\frac{3.24}{4}\\ x+y+z=0.81\)
It would cost Mr. Bean $0.81 to purchase one apple, one orange and one banana.
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A 450-gallon tank full of water is draining at a rate of 20 gallons per minute.
a. How many gallons will be in the tank after 7 minutes?
b. How long will it take for the tank to have 200 gallons?
c. Write an equation that represents the relationship between the gallons of water in the tank and minutes the tank has been draining.
d. Graph your equation using graphing technology. Mark the points on the graph that represent the gallons after 7 minutes and the time when the tank has 200 gallons. Write down the coordinates.
e. How long will it take until the tank is empty?
Answer:
The answer is below
Step-by-step explanation:
A function show the relationship between an independent variable and a dependent variable. The independent variable (input) does not depend on other variables while the dependent variable (output) depend on other variables.
In this question, amount of water in tank is dependent variable and the time taken is the independent variable. Let y represent amount of water in tank and x represent the time it has been draining. Therefore:
a) This can be represented by the equation:
y = 450 - 20x
At 7 minutes (x = 7)
y = 450 - 20(7)
y = 310 gallons
b) For 200 gallons (y = 200), the time taken is:
200 = 450 - 20x
200 - 450 = -20x
-20x = -250
x = -250/-20
x = 12.5 minutes
c) y = 450 - 20x
d) The graph was plotted using geogebra onling graphing calculator.
e) When the tank is empty, y = 0, hence
0 = 450 - 20x
20x = 450
x = 450 / 20
x = 22.5 minutes
The equation that demonstrates the relationship between the gallons of water in the tank and minutes the tank has been draining is 450 - 20X = Gallons drained. After 7 minutes there will be 310 gallons of water in the tank. It will take 12.5 minutes for the tank to have 200 gallons. It will take 22.5 minutes until the tank is empty.
Since a 450-gallon tank full of water is draining at a rate of 20 gallons per minute, to determine how many gallons will be in the tank after 7 minutes; how long will it take for the tank to have 200 gallons; the relationship between the gallons of water in the tank and minutes the tank has been draining; and how long will it take until the tank is empty, the following calculations must be performed:
The equation that demonstrates the relationship between the gallons of water in the tank and minutes the tank has been draining is 450 - 20X = Gallons drained
450 - (20 x 7) = X 450 - 140 = X 310 = X Therefore, after 7 minutes there will be 310 gallons of water in the tank.
450 - 20X = 200 450 = 200 + 20X 450 - 200 = 20X 250/20 = X 12.5 = X Therefore, it will take 12.5 minutes for the tank to have 200 gallons.
450 - 20X = 0 450 = 20X 450/20 = X 22.5 = X Therefore, it will take 22.5 minutes until the tank is empty.
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A random sample of 150 teachers in an inner-city school district found that 72% of them had volunteered time to a local charitable cause within the past 12 months. What is the standard error of the sample proportion?
a. 0.037
B. 0.057
C. 0.069
D. 0.016
The given information is as follows:A random sample of 150 teachers in an inner-city school district found that 72% of them had volunteered time to a local charitable cause within the past 12 months.
The formula for calculating the standard error of sample proportion is given as:$$Standard\(\ error=\frac{\sqrt{pq}}{n}$$\)where:p = proportion of success in the sampleq = proportion of failure in the samplen = sample sizeGiven:Sample proportion, p = 72% or 0.72Sample size, n = 150
The proportion of failure in the sample can be calculated as:q = 1 - p= 1 - 0.72= 0.28Substituting the known values in the above formula, we get:\($$Standard \ error=\frac{\sqrt{pq}}{n}$$$$=\frac{\sqrt{0.72(0.28)}}{150}$$$$=0.0372$$\)Rounding off to the nearest thousandth, we get the standard error of sample proportion as 0.037
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Which statement is correct about the F distribution? A) Cannot be negative B) Cannot be positive C) Is the same as the t distribution D) Is the same as the z distribution
Option A) "Cannot be negative" is a correct statement about the F distribution. The F distribution is a probability distribution that is used in statistical hypothesis testing to compare the variances of two populations.
The assertion "cannot be positive" about the F distribution is erroneous. The F distribution can only accept positive values and cannot accept negative values; however, it can accept values greater than zero.
"Is the same as the t distribution" is an error. When the sample size is small or the population standard deviation is unknown, the t distribution is employed for testing hypotheses regarding the population mean.
"Is the same as the z distribution" is similarly erroneous. When the population standard deviation is known and the sample size is large, the z distribution is employed as a probability distribution.
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Troy is landscaping his yard.
He spends a total of $500.
Troy spends $160 on bricks.
He spends the rest of the money on trees that cost $20 each.
Troy uses the equation 500 = 20t + 160 to find the number of trees, t, he can buy.
How many trees can Troy buy?
8
17
25
33
\(\text{Hello There!}\)
\(\text{You are adding and subtracting for this equation.}\)
\(\text{$500-160=340}\)
\(\text{Since 340 is a factor of 20}\)
\(\text{You add +20 until you get 340.}\)
\(\text{20}\times{17=340}\)
\(\text{So your answer is going to be}\)
\(\huge\text{17}\)
\(\rule{250}{1.5}\)
Answer:
17
b
Step-by-step explanation:
Susan got a prepaid debit card with 20 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 16 cents per yard If after that purchase there was 14.88 left on the card, how many yards of ribbon did Susan buy?.
The yards of ribbon purchased by Susan using amount on the debit card is equal to 32 yards.
Amount on prepaid debit card = $20
Price of the ribbon = 16 cents per yard
Amount left on the card after purchasing ribbon = $14.88
Amount used to purchase ribbon
= Amount on initial amount debit card - Amount left after purchasing ribbon
= $20.00 - $14.88 =$5.12
So Susan spent $5.12 on the ribbon.
Now ,use the price per yard to figure out how many yards she bought,
= Amount spent to buy ribbon / price of the ribbon per yard
= $5.12 ÷ $0.16 per yard
= 32 yards
Therefore, Susan bought 32 yards of ribbon with her prepaid debit card.
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The following equation describes the motion of a certain mass connected to a spring, with viscous friction on the surface 3ÿ + 18y + 102y = f(t) where f(t) is an applied force. Suppose that f(t) = 0 for t <0 and f(t) = 10 for t≥ 0. a. Plot y(t) for y(0) = y(0) = 0. b. Plot y(t) for y(0) = 0 and y(0) =
The plot of y(t) will show how the mass oscillates with time, starting from the equilibrium position and gradually coming to rest due to the damping effect of the friction.
The given equation represents the motion of a mass connected to a spring with viscous friction. To plot the displacement, y(t), we need to solve the differential equation. With initial conditions y(0) = 0, we can find the solution using the Laplace transform. After solving the equation, we can plot y(t) for t < 0 and t ≥ 0 separately. For t < 0, the applied force, f(t), is zero, so the mass will not experience any external force and will remain at rest. For t ≥ 0, the applied force is 10, and the mass will respond to this force and undergo oscillatory motion around the equilibrium position.
To solve the given differential equation, we can start by finding the characteristic equation by setting the coefficients of y, its derivative, and its second derivative to zero:
s^2 + 18s + 102 = 0.
Solving this quadratic equation gives us the roots s1 = -3 + 3i and s2 = -3 - 3i. These complex roots indicate that the mass will undergo damped oscillations.
Using the Laplace transform, we can solve the differential equation and obtain the expression for Y(s), the Laplace transform of y(t):
(s^2 + 18s + 102)Y(s) = F(s),
where F(s) is the Laplace transform of f(t). Since f(t) = 10 for t ≥ 0, its Laplace transform is F(s) = 10/s.
Solving for Y(s) gives us:
Y(s) = 10 / [(s^2 + 18s + 102)].
To find y(t), we need to inverse Laplace transform Y(s). Using partial fraction decomposition, we can express Y(s) as:
Y(s) = A / (s - s1) + B / (s - s2),
where A and B are constants to be determined. After finding A and B, we can inverse Laplace transform Y(s) to obtain y(t).
With the given initial condition y(0) = 0, we can solve for A and B by setting up equations using the initial value theorem:
A / (s1 - s1) + B / (s1 - s2) = 0,
A / (s2 - s1) + B / (s2 - s2) = 0.
Solving these equations will give us the values of A and B. Finally, we can substitute these values back into the inverse Laplace transform of Y(s) to obtain y(t).
For t < 0, since the applied force f(t) is zero, the mass will not experience any external force. Therefore, y(t) will remain at its initial position, y(0) = 0.
For t ≥ 0, the applied force f(t) is 10, and the mass will respond to this force and undergo oscillatory motion around the equilibrium position. The displacement, y(t), will depend on the properties of the mass, the spring, and the viscous friction. The plot of y(t) will show how the mass oscillates with time, starting from the equilibrium position and gradually coming to rest due to the damping effect of the friction.
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In a survey, 200 college students were asked whether they live on campus and if they own a car. Their responses are summarized in the following table below.
If in a survey, 200 college students were asked whether they live on campus and if they own a car, 55% of college students in the survey don't own a car.
To find the percent of college students who don't own a car, we need to add up the number of students who don't own a car and divide it by the total number of students in the survey. In this case, the total number of students in the survey is 200.
From the table, we can see that there are 88 students who live on campus and don't own a car, and 22 students who don't live on campus and don't own a car. So the total number of students who don't own a car is 88 + 22 = 110.
To find the percentage, we divide the number of students who don't own a car by the total number of students in the survey and then multiply by 100 to get the percentage:
Percentage of students who don't own a car = (110/200) x 100% = 55%
When working with percentages, we need to divide the number we are interested in by the total and then multiply by 100 to get the percentage.
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help me (elementary)
40% of 200 is n.
Use Theorem 9.11 to determine the convergence of divergence of the p-series. 1 + 1/8√2 + 1/^8√3 + 1/^8 √4+... p = ______. O converges O diverges
Using Theorem 9.11, we can determine the convergence or divergence of the p-series given by:
1 + 1/(8√2) + 1/(8√3) + 1/(8√4) + ...
The general form of this series is:
Σ (1/(8√n))
Comparing this to a p-series, we can see that the exponent p in the denominator is 1/2, as it involves a square root:
Σ (1/n^p) with p = 1/2
According to Theorem 9.11, a p-series converges if p > 1 and diverges if p ≤ 1. In this case, p = 1/2, which is less than or equal to 1. Therefore, this p-series diverges.
Theorem 9.11 states that the p-series 1/n^p converges if p > 1 and diverges if p ≤ 1.
In this case, we have a series of the form 1/√n^p, where n = 1, 2, 3, ... Since the denominator is growing exponentially with n, the terms are decreasing to zero.
To apply the theorem, we need to compare p to 1. Since the series has a square root in the denominator, we can rewrite it as 1/(n^(p/2)√n). Thus, p/2 is the exponent of the series without the square root.
If p/2 > 1, then p > 2, and the series converges by Theorem 9.11. If p/2 ≤ 1, then p ≤ 2, and the series diverges by Theorem 9.11.
So, in this case, p/2 = 1/8, which is less than 1. Thus, p ≤ 2 and the series diverges by Theorem 9.11. Therefore, the answer is "diverges".
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which of the following statements would be most similar to an electiral current passing through a metal wire
The correct option is A. hot water moving through a pipe.
Electrical current passing through a metal wire is similar to hot water moving through a pipe.
What is Electrical current?Electrical charge carriers, often electrons or atoms deficient in electrons, travel as current. The capital letter I is a typical way to represent current. The ampere, denoted by the letter A, is the common unit.
The method of flowing of electrical current in metal wire is-
Faraday's Law established that when spinning magnets are close to a coil of wire, a voltage results. With the help of that voltage, you can force electrons through wires, and the moving electrons will travel to their intended locations and do useful tasks. In essence, that is how the electrical grid functions.Comparison of flow of electricity with flow of water in pipe-
Electrical charge (a current) flowing through a wire is comparable to water flowing through a conduit without any bubbles or leaks. The flow of charge is resisted by a resistor, just as the flow of water is resisted by a constriction in a pipe. A circuit's voltage can be compared to a pipe's pressure.To know more about Electric current, here
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The complete question is-
which of the following situations would be mist similar to an electrical current passing through a metal wire in a closed circuit?
A. hot water moving through a pipe
B. an automobile traveling through a tunnel
C. an airplane flying through clouds
D. a flying pan heating up on a hot plate
E. a bird building a nest
a good way to get a small standard error is to use a ________.
Answer: A good way to get a small standard error is to use a large sample.
Step-by-step explanation:
In order to find the small standard error, there is always need of a complete set which is called the large sample.
If tried to do a small or repeating sample, you will most likely not get an error and you could get a repetition. If you do a population sample, you wont get accurate results at all.
Therefore, a good way to get a small standard error is to use a large sample. Hope this helps!
-From a 5th Grade Honors Student
(1 point) a study of 12,000 able-bodied male students at the university of illinois found that their times for the mile run were approximately normal with mean 7. 11 minutes and standard deviation 0. 74 minute. Choose a student at random from this group and call his time for the mile y
The probability that the student's time for the mile will be less than or equal to 7 minutes is `P(y ≤ 7) = P(z ≤ -0.15) ≈ 0.4432`.
A study of 12,000 able-bodied male students at the University of Illinois found that their times for the mile run were approximately normal with a mean of 7.11 minutes and a standard deviation of 0.74 minutes. We need to choose a student at random from this group and call his time for the mile y.
The random variable y follows a normal distribution with mean `mu` = 7.11 and standard deviation `sigma` = 0.74 minutes. If a student is chosen randomly, the probability that his time for the mile will be less than or equal to 7 minutes is as follows: `P(y ≤ 7)`.
Let us calculate the z-score using the formula z = `(y - mu) / sigma`. Here, `y` = 7, `mu` = 7.11, and `sigma` = 0.74. `z = (7 - 7.11) / 0.74 ≈ -0.15`. Therefore, P(y ≤ 7) can be calculated as follows: `P(y ≤ 7) = P(z ≤ -0.15)`. We can find the probability of z being less than or equal to -0.15 using the standard normal distribution table or calculator. Using the standard normal distribution table, we get `P(z ≤ -0.15) = 0.4432`.
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determine whether the statment below is always sometikes or never true. the inverse of a cubic funtion is also a function
The statement "the inverse of a cubic function is also a function" is sometimes true.
The inverse of a function exists only when the function is one-to-one, meaning that each input value (x) corresponds to a unique output value (y). For a cubic function, it is not always one-to-one.
If a cubic function is strictly increasing or strictly decreasing over its entire domain, then its inverse will be a function. In this case, the statement is true.
However, if a cubic function has regions where it is not strictly increasing or decreasing, it will fail the horizontal line test, and its inverse will not be a function. In this case, the statement is false.
Therefore, whether the statement is true or false depends on the specific cubic function being considered.
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N automated packaging system is responsible for packing boxes. A box is certified to hold a certain weight. Given an integer total, calculate the number of possible ways to achieve total as a sum of weights of items weighing integer from 1 to k, inclusive
This problem can be solved using dynamic programming. We can define dp[i] as the number of ways to achieve a weight of i using weights from 1 to k, inclusive. Then, we can compute dp[i] using the recurrence relation:
dp[i] = dp[i-1] + dp[i-2] + ... + dp[i-k]
This is because we can add a weight of j (1 ≤ j ≤ k) to a box that weighs i-j, to obtain a box that weighs i. We can start with dp[0] = 1 (the empty box weighs 0) and dp[i] = 0 for i < 0. Finally, the answer is dp[total].
Here is the Python code to implement the above approach:
def count_ways(total, k):
dp = [0] * (total + 1)
dp[0] = 1
for i in range(1, total + 1):
for j in range(1, k + 1):
if i >= j:
dp[i] += dp[i-j]
return dp[total]
We can call this function with the desired total weight and the maximum weight k to get the number of possible ways to achieve the total weight using weights from 1 to k, inclusive.
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3/4 plus 1/3 plus 1/2
Answer:
\(1\frac{7}{12}\) or \(\frac{19}{12}\)
Step-by-step explanation:
\(\frac{3}{4} + \frac{1}{3} + \frac{1}{2} \\\)
The less common multiple of 4,3, and 2 is 12
\(\frac{3}{4} * \frac{3}{3} = \frac{9}{12}\)
\(\frac{1}{3} * \frac{4}{4} = \frac{4}{12}\)
\(\frac{1}{2} * \frac{6}{6} = \frac{6}{12}\)
This makes it easier the add
\(\frac{9}{12} + \frac{4}{12} + \frac{6}{12} = \frac{19}{12}\\\)
When reduced equals
\(1\frac{7}{12}\)
Hope this helps! :)
pls mark brainiest
Type the correct answer in the box. use numerals instead of words. the pyramid of the sun in mexico is a square pyramid. the base edge is approximately 220 meters, and the height is approximately 70 meters. what is the approximate surface area of the sides of the pyramid to the nearest thousand square meters? the lateral surface area is about .
The approximate surface area of the sides of the pyramid to the nearest thousand square meters is A ≈ 1.06 × 10⁵ meters.
What is a square pyramid?A square pyramid is a pyramid with a square base in geometry. Every pyramid is called for its base. As a result, a square pyramid has a square base, four triangular sides, five vertices, and eight edges.To find the approximate surface area of the sides of the pyramid:
Formula:
A = a² + 2a √a²/4 + h²The given base is 220 meters and the height is 70 meters.
Insert values as follow:
A = a² + 2a √a²/4 + h² = 220² + 2 · 220 · √220²/4 + 70²≈ 1.05769 × 10⁵That is A ≈ 1.06 × 10⁵.Therefore, the approximate surface area of the sides of the pyramid to the nearest thousand square meters is A ≈ 1.06 × 10⁵ meters.
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Answer: 106000
Step-by-step explanation:
for those of you who don't know scientific notation
if the owner decides to increase the living room dimensions by 20%, what is the new length and width of the living room floor?
The new length and width of the living room would be 20% greater than the original length and width.
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. The percent symbol, "%," is commonly used, however the abbreviations "pct.", "pct," and sometimes "pc" are also used.
A percentage is a number with no dimensions; it has no unit of measurement.
To increase the length and width of a room by 20%,
We need to add 20% of the original length and width to the original values.
If the original length and width of the living room are L and W respectively, the new dimensions would be:
New length = L + 0.20 * L = 1.20 * L
New width = W + 0.20 * W = 1.20 * W
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4. How many 0.26s are there in 0.598?
A. 1.3
B. 4.2
C. 2.3
D. 2.5
5. How many 0.8s are there in 0.64?
A. 0.008
B. 0.8
C. 0.08
D. 8
6. A rectangular rice field is 0.04 kilometer wide and has an area of 0.80
square kilometer. Find the length of the field.
A. 20
B. 10 km
C. 30 km
D. 25 km
7. A construction supervisor worked 9.5 hours and earned ₱1 472.50. How
much was his hourly rate?
A. ₱215
B. ₱300
C. ₱115
D. ₱155
8. A bamboo pole 0.80 m long was cut into pieces, each 0.05 of a meter long.
How many pieces of bamboo were there?
A. 20
B. 16
C. 18
D. 10
9. What is the quotient if 24 is divided by 48?
A. 0.5
B. 0.005
C. 0.05
D. 0.0005
Answer:
D
B
A
D
B
A
I got those, hopefully they are correct
Answer:
4.C
5.D
6.A
7.D
8.B
9.A
Step-by-step explanation:
I hope it helps!
Muffin<3
there are 6 people on the ballot for regional judges. voters can vote for any 4. voters can choose to vote for 0, 1, 2, 3, or 4 judges. in how many different ways can a person vote?
There are 57 different ways a person can vote for the regional judges.
To determine the number of different ways a person can vote for regional judges, we can use the concept of combinations. In this case, we want to find the number of ways to choose a certain number of judges from a total of 6 candidates.
Since voters can choose to vote for 0, 1, 2, 3, or 4 judges, we need to find the sum of all the possible combinations for each number of judges.
For choosing 0 judges, there is only one possible combination (choosing none).
For choosing 1 judge, there are 6 possible combinations (choosing one out of the six candidates).
For choosing 2 judges, there are \(C(6, 2) = 15\) possible combinations. This is calculated using the combination formula, which \(C(n, r)\)represents the number of combinations of choosing r items from a set of n items.
For choosing 3 judges, there are \(C(6, 3) = 20\) possible combinations.
For choosing 4 judges, there are \(C(6, 4) = 15\) possible combinations.
To find the total number of different ways a person can vote, we sum up the number of combinations for each scenario:
\(1 + 6 + 15 + 20 + 15 = 57\)
Therefore, there are 57 different ways a person can vote for the regional judges.
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01. Which of the choices below constitutes a simultaneous solution to these equations? ( 2 pts.) (1) 4X+3Y=12 and (2) 2X+4Y=8? 02. What combination of X and Y will yield the optimum for this problem? ( 3 pts.) Maximize Z=$10X+$50Y subject to: (1)3X+4Y≤12 and (2)2X+5Y≤10 03. What combination of X and Y will provide a minimum for this problem? (3pts.) Minimize Z=X+5Y subject to: (1) 4X+3Y≥12 and (2) 2X+5Y≥10
1. The simultaneous solution of the given equations is X=12/5 and Y=4/5
2.1)The combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.
2)The combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.
To find the simultaneous solution of the given equations 4X+3Y=12 and 2X+4Y=8, we can use the method of elimination, also known as the addition method. Multiplying the second equation by 2, we get 4X+8Y=16.
Now, we can subtract the first equation from the second equation: 4X+8Y - (4X+3Y) = 8Y - 3Y = 5Y and 16 - 12 = 4. Thus, 5Y=4 or Y = 4/5.
Substituting this value of Y in any of the two equations, we can find the value of X. Let's substitute this value of Y in the first equation: 4X+3(4/5)=12 or 4X
= 12 - (12/5)
= (60-12)/5
= 48/5.
Thus, X = 12/5. Hence, the simultaneous solution of the given equations is X=12/5 and Y=4/5.2. To find the optimal values of X and Y that will maximize the objective function Z=$10X+$50Y, we need to use the method of linear programming.
First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 3X+4Y=12, 2X+5Y=10, X=0, and Y=0.
To find the optimal solution, we need to evaluate the objective function at each of the corner points of the feasible region, and choose the one that gives the maximum value.
Let's denote the corner points as A, B, C, and D, as shown above. The coordinates of these points are: A=(0,3), B=(2,1), C=(5/2,0), and D=(0,0). Now, let's evaluate the objective function Z=$10X+$50Y at each of these points:
Z(A)=$10(0)+$50(3)
=$150, Z(B)
=$10(2)+$50(1)
=$70, Z(C)
=$10(5/2)+$50(0)
=$25, Z(D)
=$10(0)+$50(0)=0.
Thus, we can see that the maximum value of Z is obtained at point A, where X=0 and Y=3. Therefore, the combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.
To find the combination of X and Y that will provide a minimum for the problem Minimize Z=X+5Y subject to: 4X+3Y≥12 and 2X+5Y≥10, we need to use the same method of linear programming as above.
First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 4X+3Y=12, 2X+5Y=10, X=0, and Y=0.
To find the optimal solution, we need to evaluate the objective function Z=X+5Y at each of the corner points of the feasible region, and choose the one that gives the minimum value.
Let's denote the corner points as A, B, C, and D, as shown above.
The coordinates of these points are: A=(3,0), B=(5,1), C=(0,4), and D=(0,0).
Now, let's evaluate the objective function Z=X+5Y at each of these points:
Z(A)=3+5(0)=3,
Z(B)=5+5(1)=10,
Z(C)=0+5(4)=20,
Z(D)=0+5(0)=0.
Thus, we can see that the minimum value of Z is obtained at point A, where X=3 and Y=0. Therefore, the combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.
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FREE BRAINLIEST IF CORRECT: Write the following without the absolute value sign: |a^2| if a>0
Answer:
Step-by-step explanation:
When you square a number, whether it's positive or negative, the square is always positive. That is, a2 is positive whether a is positive or negative. Examples:
12 = 1 x 1 = 1
(-1)2 = (-1) x (-1) = 1
52 = 5 x 5 = 25
(-5)2 = (-5) x (-5) = 25
Since the answer is always positive, you don't need the absolute value signs: |a2| = a2.
hope this helps can i get brainly pls
n order to eliminate data redundancy and avoid update anomalies, find the 1nf, 2 nf, and 3nf of the following bookorder tables
Without specific table structures and dependencies provided, it is not possible to determine the 1NF, 2NF, and 3NF of the bookorder tables.
Please provide the table structures and dependencies of the bookorder tables to determine their 1NF, 2NF, and 3NF.?To determine the 1NF, 2NF, and 3NF of the bookorder tables, we need to consider the normalization process and identify any dependencies among the attributes. Without the specific table structures and dependencies provided, it is not possible to provide a specific answer. However, in general, the normalization process aims to eliminate data redundancy and update anomalies by organizing data into separate tables based on functional dependencies. In 1NF, each attribute should hold atomic values. In 2NF, non-key attributes should depend on the entire key. In 3NF, non-key attributes should depend only on the key, not on other non-key attributes. The specific normalization steps depend on the specific attributes and dependencies in the given tables.
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A freight forwarder has a weekly consolidated service Mumbai - Marsellle, with direct costs as follows: Ocean freight: US \( \$ 1,250.00 / 40-\mathrm{ft} \) standard container. Container loading in Mu
The correct answers are: 1. Total revenue for this consolidation: $750,000.00. 2. Total costs for this consolidation: $201,162.22. 3. Profit/loss on this consolidation: $548,837.78.
To calculate the total revenue, costs, and profit/loss for the consolidation, we need to break down the given information and perform the necessary calculations. Let's go step by step:
1. Calculate the total revenue:
The cargo is charged based on revenue tons, so we need to convert the volume of cargo loaded (30 m³) and the weight (20,000 kg) into revenue tons.
- Volume: 30 m³
To determine the revenue tons, we'll assume the cargo is loaded to its maximum capacity of 40 m³ in a 40-ft standard container. We can calculate the revenue tons using the formula: Revenue Tons = (Volume Loaded / Maximum Volume) * Weight
Revenue Tons = (30 m³ / 40 m³) * 20,000 kg
Revenue Tons = 0.75 * 20,000 kg = 15,000 kg
- Weight: 20,000 kg
Since the weight is already in kilograms, we can directly use this value.
Now, we can calculate the total revenue:
Total Revenue = Revenue Tons * Selling Rate per Revenue Ton
Total Revenue = 15,000 kg * $50.00/kg (assuming the selling rate is $50.00 per revenue ton)
Total Revenue = $750,000.00
Therefore, the total revenue for this consolidation is $750,000.00.
2. Calculate the total costs:
We need to consider the costs of ocean freight, container loading in Mumbai, and Marseille unloading.
- Ocean Freight:
The cost of ocean freight per 40-ft standard container is given as $1,250.00.
Since the cargo loaded is less than the maximum capacity, we'll consider only a fraction of the cost based on the loaded volume:
Ocean Freight Cost = (Volume Loaded / Maximum Volume) * Ocean Freight Cost per Container
Ocean Freight Cost = (30 m³ / 40 m³) * $1,250.00
Ocean Freight Cost = 0.75 * $1,250.00 = $937.50
- Container Loading in Mumbai:
The cost of container loading in Mumbai is given as $10.00 per revenue ton.
Container Loading Cost = Weight * Cost per Revenue Ton
Container Loading Cost = 20,000 kg * $10.00/kg = $200,000.00
- Marseille Unloading:
The cost of Marseille unloading is €10.00 per revenue ton, but we need to convert it to USD using the given exchange rate.
Exchange Rate = €1.00 = $1.06
Marseille Unloading Cost = (Weight / 1,000) * Cost per Revenue Ton * Exchange Rate
Marseille Unloading Cost = (20,000 kg / 1,000) * €10.00/kg * $1.06/€
Marseille Unloading Cost = 20 * €10.00 * $1.06 = €212.00
Converting to USD: €212.00 * $1.06 = $224.72
Now, we can calculate the total costs:
Total Costs = Ocean Freight Cost + Container Loading Cost + Marseille Unloading Cost
Total Costs = $937.50 + $200,000.00 + $224.72
Total Costs = $201,162.22
Therefore, the total costs for this consolidation amount to $201,162.22.
3. Calculate the profit/loss:
Profit/Loss = Total Revenue - Total Costs
Profit/Loss = $750,000.00 - $201,162.22
Profit/Loss = $548,837.78
Therefore, the profit/loss on this consolidation is $548,837.78.
Note: The complete question is:
A freight forwarder has a weekly consolidated service Mumbai - Marseille, with direct costs as follows:
Ocean freight: US $1,250.00/40-ft standard container.
Container loading in Mumbai: US $10.00 per revenue ton.
Marseille unloading: €10.00 per revenue ton.
Exchange rate is = €1.00 US $1.06.
From past experience, the marketing department has determined that they need to load 40 m³ of cargo in a 40-ft standard container to break even and be able to sell to their customers an all-inclusive rate of US $50.00 per revenue ton.
Based on the above shipment details, answer the following scenario: Last week they loaded 30 m³, 20000 kg in their consolidation.
1: What was their total revenue for this consolidation? Select one answer.
2: what were their total costs for this consolidation?
3: what was the profit /loss on this consolidation?
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What is the slope and y-intercept of y=-5/4x+4 and the slope and y-intercept of y=3/2x-7
Answer:
Step-by-step explanation:
The slope of y = -5/4x + 4 is -5/4. The y-intercept is 4.
The slope of y=3/2x-7 is 3/2. The y-intercept is -7.
(50 POINTS HELP GIVING BRAINLIEST) In which pair do both decimals represent rational numbers
Answer:
C im pretty sure 7.02 and 0.34
Step-by-step explanation:
Answer:
A. 0.318 and 0.3444...
Step-by-step explanation:
Rational numbers are numbers that can be expressed as fractions. Rational numbers include finite values and repeating decimals that have a pattern.
Because all of the answer choices include decimals that have no predictable pattern of decimals, A must be correct.
0.318 is rational because it is finite. 0.3444... will continue to add 4 on to the end of the number, meaning it is repeating predictably, and it is rational.
please answer fast , thank you
m=4
b=-3
I hope i could help! :)
y = mx+b
m=4
b=3
Hope this helps :)
A car driver takes a trip from his house across the country. After two days he has traveled 80
miles. Fill out the table below to show the relationship between days, x, and miles traveled, y.
Miles, y
Days, x
1
2
3
6
8
A recipe
needs 250g of butter to make 4 small
cakes. Olav wants to make 10 cakes. He has
1 kg of butter. How much butter will be have
10 cakes ? how much butter will be have
left over after he has made 10 cakes?
Answer:
375g
Step-by-step explanation:
250g = 4
X = 10
Cross Multiply
2500=4x
Divide both sides by x
x=625
1000-625
375g left