10a -5ab+ 4b
(if a = 2/5 and b =-1/6)
Answers
Answer:
11/3 or 3 2/3 (sry if its wrong)
Step-by-step explanation:
Related Questions
Iron has a density of 7.87 g/cm^3. What is the mass of a block of iron that is 2cm x 10cm x 5cm?
Answers
Answer:
2x10x5
V = 100 cm3
D = 7.87 g/cm3
M = 7.87x100
= 787g
14. Describe the typical quiz scores of the students. Explain your choice of measure.
Answers
To describe the typical quiz scores of the students, a common measure used is the mean, or average, score. The mean is calculated by summing up all the scores and dividing by the total number of scores.
Given its simplicity and simplicity in interpretation, the mean was chosen as a proxy for normal quiz scores. It offers a solitary figure that encapsulates the scores' median. We can figure out the pupils' overall performance on the quiz scores by computing the mean.
It's crucial to keep in mind, though, that outliers or extremely high scores dividing might have an impact on the mean. The mean may not be an accurate representation of the normal results of the majority of students if there are a few students who severely underperform or do very well on the quizzes.
To get a more thorough picture of the distribution of quiz results in such circumstances, it might be beneficial to take into account additional metrics like the median or mode.
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YALL WATS THE ANSWER!
Answers
Answer:
mujko
Step-by-step explanation:
mujko nahi pata. Hai
Answer:
B
Step-by-step explanation:
Hope this Helps (✿◠‿◠)
Order the numbers from least to greatest.
LEAST
1
8
= 0.13
= 0.12222...
12.7%
Answers
For each square there are 3 circles. Which model shows this relationship?
ОО
Answers
Answer:
The one in the middle 100% correct
Answer:
second option
Step-by-step explanation:
Ratio of square to circle = 1 : 3
In the second option:
Square = 2 & circles = 6
Ratio = 2 : 6 and after simplifying, Ratio = 1 : 3
How
do you solve this for coefficients?
g(x) = { 1₁ -1 - T≤x≤0 осхь п 1 f(x+2TT) = g(x)
Answers
The coefficient for the interval -T ≤ x ≤ 0 in the function g(x) is 1. However, the coefficient for the interval 0 ≤ x ≤ 2π depends on the specific form of the function f(x). Without additional information about f(x), we cannot determine its coefficient for that interval.
To solve for the coefficients in the function g(x), we need to consider the conditions given:
g(x) = { 1, -1, -T ≤ x ≤ 0
{ 1, f(x + 2π) = g(x)
We have two pieces to the function g(x), one for the interval -T ≤ x ≤ 0 and another for the interval 0 ≤ x ≤ 2π.
For the interval -T ≤ x ≤ 0, we are given that g(x) = 1, so the coefficient for this interval is 1.
For the interval 0 ≤ x ≤ 2π, we are given that f(x + 2π) = g(x). This means that the function g(x) is equal to the function f(x) shifted by 2π. Since f(x) is not specified, we cannot determine the coefficient for this interval without additional information about f(x).
The coefficient for the interval -T ≤ x ≤ 0 is 1, but the coefficient for the interval 0 ≤ x ≤ 2π depends on the specific form of the function f(x).
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Minimize f(x)=2x2 1-2 x1 x 2+2x2-6 x 1 +6
Subject to: x1+x2-2=0
Using the Lagrange multipliers technique. Compute the optimal point values for x1, x2, l y ll
In an optimization problem with equality constraints, what is the meaning of the values of the Lagrange multipliers?
Answers
The optimal point values for x1, x2, λ, and μ (Lagrange multipliers) in the given problem are:
x1 = 1
x2 = 1
λ = -4
μ = 2
To solve the optimization problem using the Lagrange multipliers technique, we first construct the Lagrangian function L(x1, x2, λ) by incorporating the equality constraint:
L(x1, x2, λ) = f(x1, x2) - λ(g(x1, x2))
Where f(x1, x2) is the objective function, g(x1, x2) is the equality constraint, and λ is the Lagrange multiplier.
In this case, the objective function is f(x1, x2) = 2x1^2 - 2x1x2 + 2x2 - 6x1 + 6, and the equality constraint is g(x1, x2) = x1 + x2 - 2.
The Lagrangian function becomes:
L(x1, x2, λ) = 2x1^2 - 2x1x2 + 2x2 - 6x1 + 6 - λ(x1 + x2 - 2)
To find the optimal values, we need to find the critical points by taking partial derivatives of L with respect to x1, x2, and λ and setting them equal to zero. Solving these equations simultaneously, we get:
∂L/∂x1 = 4x1 - 2x2 - 6 - λ = 0
∂L/∂x2 = -2x1 + 2 + λ = 0
∂L/∂λ = -(x1 + x2 - 2) = 0
Solving these equations, we find x1 = 1, x2 = 1, and λ = -4. Substituting these values into the equality constraint, we can solve for μ:
x1 + x2 - 2 = 1 + 1 - 2 = 0
Therefore, μ = 2.
The optimal point values for the variables in the optimization problem are x1 = 1, x2 = 1, λ = -4, and μ = 2. The Lagrange multipliers λ and μ represent the rates of change of the objective function and the equality constraint, respectively, with respect to the variables. They provide insights into the sensitivity of the objective function to changes in the constraints and can indicate the impact of relaxing or tightening the constraints on the optimal solution. In this case, the Lagrange multiplier λ of -4 indicates that a small increase in the equality constraint (x1 + x2 - 2) would result in a decrease in the objective function value. The Lagrange multiplier μ of 2 indicates the shadow price or the marginal cost of satisfying the equality constraint.
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Find the rate of change from the table of values
Answers
The rate of change in this table of values is also the slope. Solve for the slope using any two points in the table. In this instance we will be using (1,5) and (2,6)
\(\begin{gathered} (x_1,y_1)=(1,5) \\ (x_2,y_2)=(2,6) \\ \\ m = \dfrac{y_2 - y_1}{x_2 - x_1} \\ m = \dfrac{6 - 5}{2 - 1} \\ m = \dfrac{1}{1} \\ m=1 \end{gathered}\)Therefore, the rate of change is 1.
2
Which fractions are equivalent to -? Choose ALL the correct answers.
3
4
5
8
4
6
6
6
12
7
Answers
Answer:
4/6 and 8/12
Step-by-step explanation:
Answer:
do u need help with any thing?
Help please step by step
Answers
Tom does have enough fertilizer to cover the triangular area, as the triangular area is of 179.6 m², and he has 300 m² of fertilizer.
How to obtain the area of a triangle?We are given the three sides of the triangle, hence the first step in obtaining the area is obtaining the semi-perimeter, which is half the perimeter, hence:
s = (26 + 20 + 18)/2
s = 32 m.
The area of the triangle is then obtained as follows:
\(A = \sqrt{s(s - a)(s - b)(s - c)}\)
\(A = \sqrt{32(32 - 26)(32 - 20)(32 - 18)}\)
A = 179.6 m².
Hence Tom does have enough fertilizer to cover the triangular area, as the triangular area is of 179.6 m², and he has 300 m² of fertilizer.
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E-Loan, an online lending service, recently offered 60-month auto loans at 4.8% compounded monthly to applicants with good credit ratings. If you have a good credit rating and can afford monthly payments of $441, how much can you borrow fromE-Loan?
(a) What is the total interest you will pay for this loan? You can borrow? (Round to two decimal places.)
(b) You will pay a total of in interest. (Round to two decimal places.)
Answers
If you have a good credit rating and can afford monthly payments of $441, you can borrow a certain amount from E-Loan for a 60-month auto loan at an interest rate of 4.8% compounded monthly. The total interest paid and the loan amount can be calculated using the given information.
To determine the loan amount, we can use the formula for the present value of an annuity:
Loan Amount = Monthly Payment * [(1 - (1 + Monthly Interest Rate)^(-Number of Payments))] / Monthly Interest Rate
Here, the monthly interest rate is 4.8% divided by 12, and the number of payments is 60.
Loan Amount = $441 * [(1 - (1 + 0.048/12)^(-60))] / (0.048/12)
Calculating this expression gives the loan amount, which is the amount you can borrow from E-Loan.
To calculate the total interest paid, we can subtract the loan amount from the total payments made over the 60-month period:
Total Interest = Total Payments - Loan Amount
Total Payments = Monthly Payment * Number of Payments
Total Interest = ($441 * 60) - Loan Amount
Calculating this expression gives the total interest paid for the loan.
Note: The precise numerical values of the loan amount and total interest paid can be obtained by performing the calculations with the given formula and rounding to two decimal places.
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As |a| increases, the parabola becomes
Answers
Answer:
1: Narrower
2: Wider
Step-by-step explanation:
The magnitude of 'a' increases, the parabola becomes more and more wider.
What is Parabola?A parabola is a curve where any point is at an equal distance from a fixed point (the focus), and a fixed straight line (the directrix).
Given is a parabola.
The parametric form of equation of parabola is given by -
y² = 4ax
Here, distance 'a' is called focus of parabola.
For a constant value of x - coordinate, take different values of 'a'. For constant x, we get the following relation -
y² \(\alpha\) a
As the magnitude of 'a' increases, the y coordinate increases and parabola becomes more and more wider.
Therefore, the magnitude of 'a' increases, the parabola becomes more and more wider.
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Find the real zeros of each polynomial function by factoring. The number in parentheses to the right of each polynomial indicates the number of real zeros of the given polynomial function. (Enter your answers as a comma-separated list. )
P(x) = x5 − 50x3 + 49x (5)
Answers
The real zeros of the polynomial function P(x) = x⁵ − 50x³ + 49x are -1, 0, and 1.
To find the zeros of this function, we can factor it by first factoring out an x to get P(x) = x(x⁴ − 50x² + 49). Then, we can factor the quadratic expression inside the parentheses using the difference of squares formula, which gives us P(x) = x(x² − 1)(x² − 49). Simplifying further, we have P(x) = x(x − 1)(x + 1)(x - 7)(x + 7).
Therefore, the zeros of P(x) are the values of x that make each factor equal to zero. This gives us x = -7, -1, 0, 1, and 7. Since all of these values are real, we conclude that the number of real zeros of P(x) is 5.
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4x -2y = 16 solve for y=mx+b
Answers
Answer:
y=2x-8
Step-by-step explanation:
Subtract 4 x from both sides of the equation. − 2 y = 16 − 4 x Divide each term by − 2 and simplify. Tap for fewer steps... Divide each term in − 2 y = 16 − 4 x by − 2 . − 2 y − 2 = 16 − 2 + − 4 x − 2 Cancel the common factor of − 2 . Tap for fewer steps... Cancel the common factor. − 2 y − 2 = 16 − 2 + − 4 x − 2 Divide y by 1 . y = 16 − 2 + − 4 x − 2 Simplify 16 − 2 + − 4 x − 2 . Tap for fewer steps... Simplify each term. Tap for fewer steps... Divide 16 by − 2 . y = − 8 + − 4 x − 2 Cancel the common factor of − 4 and − 2 . Tap for fewer steps... Factor − 2 out of − 4 x . y = − 8 + − 2 ( 2 x ) − 2 Cancel the common factors. Tap for more steps... y = − 8 + 2 x Reorder − 8 and 2 x . y = 2 x − 8
Answer:
Y = 2x - 8
Step-by-step explanation:
-2y = -4x + 16
y = 2x - 8
Your welcome
The time spent commuting from home to work for all employees of a very large company has a normal distribution with a mean of 43.7 minutes and a standard deviation of 9.0 minutes. The probability, rounded to three decimal places, that the mean time spent commuting from home to work by a sample of 20 employees will be between 43.26 and 49.35 minutes is:
Answers
The probability is 0.584 that the mean time spent commuting from home to work by a sample of 20 employees.
A standard deviation is a estimate of how spread the data is in relation to the mean.
Sample size (N) = 20, standard deviation (σ) = 9 and mean (μ) = 4.7
\(p[43.26 < \bar{x} < 49.35]\)
\(p[\frac{43.26-43.7}{\frac{9}{\sqrt{20} } } < z < \frac{49.35-43.7}{\frac{9}{\sqrt{20} } } ]\\\)
P[-0.22 < z < 2.81]
p[z ≤ 2.81] - p[z ≤ 0.22] = 0.997 - 0.413
= 0.584 (by using the normal probability )
Therefore, the probability 0.588 (rounded to three decimal places)
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What is happening to this graph?
Answers
Reason: The line goes downhill when moving to the right, and when we're between x = -1 and x = 1. You can think of it like a roller coaster.
if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?
Answers
If q is an odd number and the median of q consecutive integers is 120, then the largest of these integers is option (A) (q-1) / 2 + 120
The number q is an odd number
The median of q consecutive integers = 120
Consider the q = 3
Then three consecutive integers will be 119, 120, 121
The largest number = 121
Substitute the value of q in each options
Option A
(q-1) / 2 + 120
Substitute the value of q
(3-1)/2 + 120
Subtract the terms
=2/2 + 120
Divide the terms
= 1 + 120
= 121
Therefore, largest of these integers is (q-1) / 2 + 120
I have answered the question in general, as the given question is incomplete
The complete question is
if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?
a) (q-1) / 2 + 120
b) q/2 + 119
c) q/2 + 120
d) (q+119)/2
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A family buys 6 airline tickets online. The family buys travel insurance that costs $18 per ticket. The total cost is $1,128. Let x represent the price of one ticket. Then find the price of one ticket.
Answers
Answer: $170
Step-by-step explanation:
6x + 18(6) = 1128.
6x + 108 = 1128
6x = 1020
x = 170
The price of one ticket is 170
Tri-County G\$T selis 150,000 MWh per yeat of electrical power to Boulder at $80 per MWh, has fixed costs of $80.1 milion per yoar, and has varistele costs of $20 por MWh. If Tri-County has 1,000,000MW h of demand from its customers (other than Boulder), what will Tri-County have to charge to break even? Tri-County wit have to charge? to break oven. (Enter your response rounded to the nearest penny.)
Answers
Tri-County will have to charge approximately $83.1 per MWh to break even.
To calculate the break-even price that Tri-County will have to charge to cover its costs, we need to consider both the fixed costs and the variable costs. The fixed costs are given as $80.1 million per year.
The variable costs are calculated by multiplying the quantity of electrical power sold (150,000 MWh per year to Boulder) by the variable cost per MWh ($20). Therefore, the variable costs amount to 150,000 MWh/year * $20/MWh = $3 million per year.
To cover both fixed and variable costs, Tri-County needs to charge a total amount that equals the sum of these costs. The total cost is $80.1 million + $3 million = $83.1 million per year.
Now, let's calculate the break-even price per MWh. Since Tri-County has a demand of 1,000,000 MWh from its customers (other than Boulder), we can divide the total cost by this quantity to find the break-even price.
Break-even price = Total cost / Quantity of electrical power demanded
Break-even price = $83.1 million / 1,000,000 MWh = $83.1/MWh
Therefore, Tri-County will have to charge approximately $83.1 per MWh to break even.
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If Archie has 100 balls, and 18 of those balls are tennis balls, what percent of the total balls are tennis balls?
OA. 100%
OB. 82%
OC.
23%
OD.
18%
Answers
Answer:
D 18%
Step-by-step explanation:
18/100 = 18%so D is the answer
express 8cm as fraction of 2metres.
Answers
Answer:
4/200 is the answer
The length of a rectangle is 11 cm more than twice its width. If the area of the rectangle is 6 cm", what
are the dimensions of the rectangle?
The width of the rectangle is
cm.
ation
The length of the rectangle is
cm
Answers
The width of the rectangle is 3/2 cm and the length is 17 cm.
The formula for the area of a rectangle is A = L x W, where A is the area, L is the length, and W is the width. To solve this problem, we can rearrange the formula to solve for W: W = A / L. In this case, A = 6 cm and L = 2W + 11 cm. Substituting these values, we get W = 6 / (2W + 11). We can solve this equation by dividing both sides by 2W to get 1/W = 6 / (2W + 11) * 1/2W. Simplifying, we get 1/W = 3 / (11 + 2W). Subtracting 3/11 from both sides, we get -2/11 W = -3/11. Finally, we can solve for W by dividing both sides by -2/11 to get W = 3/2 cm.
Therefore, the width of the rectangle is 3/2 cm, and the length of the rectangle is 2W + 11 = 11 + 6 = 17 cm.
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Se tienen 240 cajas con 25 bolsas cada una . Si cada bolsa pesa 0.69 kg. Cual es el peso del cafe?
Answers
Answer:
Step-by-step explanation:
There are 240 boxes with 25 bags each. If each bag weighs 0.69 kg. What is the weight of coffee?
write an equation that represents the statement below."Twelve less than a number, ×, is 18."
Answers
x - 12 = 18 is the the equation that represents ."Twelve less than a number, ×, is 18."
What is linear equation ?In a linear equation, the variable's greatest power always equals 1. It is sometimes referred to as a one-degree equation. The usual form of a linear equation with one variable is written as Ax + B = 0. In this case, x is a variable, A is a coefficient, and B is a constant. The typical form of a linear equation with two variables is Ax + By = C. Here, x and y are the variables, A and B are the coefficients, and C is the constant. Equations with a degree of 1 are considered to be linear. This shows that a linear equation with an exponent larger than one has no variables.Calculationgiven the number is x
the equation of the given statement
x - 12 = 18
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A set of weights includes an 8 lb. barbell and 6 pairs of weight plates. Each pair of plates weighs 15 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 15x + 8. What is the range of the function for this situation?
Answers
Answer
8,98
Step-by-step explanation:
the minimum amount of weight you can use is the barbell alone which is 8lbs by itself and the maximum is 98 because there are 6 15lb plates which equal to 90lb total and when you add the 6 plates to the barbell you get 98lbs
y=1/2x +-6 on a graph
Answers
Answer:
(0,-6) and (12,0)
Step-by-step explanation:
These two points form a line that follow the rule of the equation
A 20-inch pizza has an area of 314 in? That pizza is
divided into eight equal slices. What is the area of two slices of
that pizza?
A. 3114 in2
B. 78.5 in2
C. 39.25 in2
D. 314 in2
Answers
The area of each pizza is gotten by dividing the total area by the number of slices. Therefore, the area of two slices of that pizza is 31.4 inches².
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words the area is the space occupied by a flat shape or the surface of an object.
Therefore, 20 inch pizza has an area of 314 inches². The pizza is divided into 8 equal slices.
Each area of the slices = 314 / 20
Each area of the slices = 15.7 inches²
Therefore, the area of two slices of the pizza is as follows:
area of two slices = 15.7 + 15.7 = 31.4 inches²
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Which set describes the domain of p(h)? {h| 0 ≤ h ≤ 40} {h| 0 ≤ h ≤ 60} {p(h)| 0 ≤ p(h) ≤ 1,400} {p(h)| 0 ≤ p(h) ≤ 1,800}
Answers
The set {h| 0 ≤ h ≤ 60} describe the domain of p(h).
According to the statement
We have given that the brenton gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour.
and we have to find that the those set which describes the domain of p(h).
So,for this purpose
In this case, the domain represents the set of hours he is permitted to work
From the question, we understand that he cannot work more than 60 hours
This means that, the least number of hours to work is 0, and the highest is 60
So, the domain is 0 to 60
When represented properly, the domain of P(h) is (b) {h| 0 ≤ h ≤ 60}.
So, The set {h| 0 ≤ h ≤ 60} describe the domain of p(h).
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Disclaimer: This question was incomplete. Please find the full content below.
Question:
Brenton’s weekly pay, P(h) , in dollars, is a function of the number of hours he works, h. He gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour. He is not permitted to work more than 60 hours in a week. Which set describes the domain of P(h)? {h| 0 ≤ h ≤ 40} {h| 0 ≤ h ≤ 60} {P(h)| 0 ≤ P(h) ≤ 1,400} {P(h)| 0 ≤ P(h) ≤ 1,800
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Answer:
B.{h|0<h<60}
Step-by-step explanation:
the inside diameter (in inches) of 50 lightweight snaps used in assembling computer cases are measured and sorted with the following resulting data: 0.0395 0.0443 0.0450 0.0459 0.0470 0.0485 0.0486 0.0487 0.0489 0.0496 0.0499 0.0500 0.0503 0.0504 0.0504 0.0516 0.0529 0.0542 0.0550 0.0571 (a) compute the sample mean and sample variance. (b) find the sample upper and lower quartiles. (c) find the sample median. (d) construct a box plot of the data. (e) find the 5th and 95th percentiles of the inside diameter.
Answers
(a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, (d) boxplot is attached, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.
(a) The mean = sum of all values divided by the number of values
μ = (x1 + x2 + ..... + xn)/n
n = 20
μ = (0.0395 + 0.0443+ 0.0450 + ... + 0.0550 + 0.0571)/20
μ = 0.9878/20
μ = 0.0494
(b) Variance = sum of squared deviations from the mean divided by n-1
s² = {(x1-μ)² + (x2-μ)² + .... (xn - μ)²)/(n-1)
s² = {(0.0395-0.0494)² + (0.0443-0.0494)² + .... +(0.0571-0.0494)²}/19
s² = 0.000016
(b) The minimum is 0.0395 and the maximum is 0.0571.
since the number of data is even, the median will be the average of two middle values.
M = Q2 = (0.0496+0.0499)/2 = 0.04975
Now, the first quartile is the median of the data values below the median
so Q1 = (0.0470+0.0485)/2 = 0.04775
And third quartile will be the median of the data values above the median
Q3 = (0.0504+0.0516)/2 = 0.0510
(c) Since we know that the number of data values is even, the median will be the average of the two middle values of the data set
so M = (0.0496+0.0499)/2
or M = 0.04975
(d) The boxplot is at maximum and minimum values. It will start in Q1 and end in Q3 and has a vertical line at the median or Q2.
The boxplot is attached.
(e) The 5th percentile means 0.05(n+1)th data value
or = 0.05(20+1) = 1.05th data value
5th percentile = 0.0550 + 0.05(0.0443-0.0395) = 0.03974
similarly,
95th percentile = 0.0550 + 0.95(0.0571-0.0550) = 0.056995
Therefore, (a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.
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32. At 8 AM, the temperature was 3°F below zero. By 1pm, the temperature rose
14F and by 10 PM, dropped 12. Plot points and draw arrows on the number
line below to model this situation.
What was the temperature at 10 PM? Explain how the number line helped you
find your answer.
Answers
Answer: - 1°F
Step-by-step explanation:
Given that:
At 8a.m:
Temperature = 3°F below 0
By 1p.m ; Temperature rose by 14F ;
By 10pm ; temperature dropped by 12F
Temperature at 10 pm:
3°F below 0 = - 3°F
Temperature at 1pm: temperature increased by 14°F
-3°F + 14°F = 11°F
Temperature at 10pm: temperature dropped by 12°F
11°F - 12 = - 1°F
