Answer: C
Step-by-step explanation:
Length = x+6
Width = 2(x+6)
Area = x+6*2x+12
= 2\(x^{2}\)+72
What is the word name for 716,270,408?
Answer:
Seven hundred sixteen million, two hundred seventy thousand, four hundred eight
Step-by-step explanation:
Answer:
seven hundred sixteen million two hundred seventy thousand four hundred and eight
Step-by-step explanation:
PLEASE help, I've been trying to get this for like an hour.
The solution of the equation is (-2, 3) and to eliminate x we have to multiply equation(i) by 3 and multiply equation(ii) by 4.
How to solve system of equation by elimination method?System of equation can be solved using different method such as elimination method, substitution method and graphical method,
Let's use elimination method to solve the system of equation.
Therefore,
4x + 5y = 7
3x - 2y = - 12
Multiply equation(i) by 3 and equation(ii) by 4 to eliminate x.
Hence,
12x + 15y = 21
12x - 8y = - 48
Subtract the equations
23y = 69
y = 69 / 23
y = 3
Hence,
4x = 7 - 5y
4x = 7 - 5(3)
4x = 7 - 15
4x = -8
x = -8 / 4
x = -2
Therefore, the solution is (-2, 3)
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Find the area of a circle with a diameter of 31.
Answer:
hope this helps
Step-by-step explanation:
31 divided by 2 = 15.5 then do 15.5 x 15.5= 240.25 then you do 240.25 x 3.14 = 754.385
Without graphing, determine whether the function represents exponential growth or exponential decay.
Then find the y-intercept.f(x)=3(0.67)
Answer:
Decay.
Step-by-step explanation:
It is decay because .67 is less than 1.
596 divided by 3 using long divison
Answer:
198.6 with the remaining 6
Step-by-step explanation:
596/3
596/3 = 198.666666667 as a decimal form
596/3 = 198.67 in 2 decimal places
596/3 = 198.7 to the nearest tenth
596/3 = 198.67 to the nearest hundredth
596/3 = 198.667 to the nearest thousandth
a report says that the average amount of time a 10-year-old american child spends playing outdoors per day is between 20.02 and 25.36 minutes. what is the margin of error in this report?
The actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.
The margin of error in the report stating that a 10-year-old American child spends an average of 20.02 to 25.36 minutes playing outdoors per day can be calculated by subtracting the lower value from the higher value and dividing by 2. In this case, the margin of error is :
To find the margin of error, we need to calculate the halfway point between these two values.
(25.36 - 20.02) / 2 = 2.67
Therefore, the margin of error is approximately 2.67 minutes. This means that the actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.
Thus, the actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.
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Select the correct answer from each drop-down menu. Trapezoids 1 and 2 are plotted on the coordinate plane. Are they similar? trapezoid 1 similar to trapezoid 2 because trapezoid 1 mapped onto trapezoid 2 by a series of transformations.
Trapezoid 1 is similar to trapezoid 2 because trapezoid 1 can be mapped onto trapezoid 2 by a series of transformations.
What are the properties of similar geometric figures?In Mathematics and Geometry, two geometric figures such as trapezoids are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
This ultimately implies that, the lengths of the pairs of corresponding sides or corresponding side lengths are proportional to one another when two (2) geometric figures are similar;
Scale factor = √10/√2 = 5/2.5 = 7/3.5
Scale factor = 2.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
a normal population has a mean of 80.0 and a standard deviation of 14.0. a. compute the probability of a value between 75.0 and 90.0. (round intermediate calculations to 2 decimal places and final answer to 4 decimal places.) b. compute the probability of a value of 75.0 or less. (round intermediate calculations to 2 decimal places and final answer to 4 decimal places.) c. compute the probability of a value between 55.0 and 70.0. (round intermediate calculations to 2 decimal places and final answer to 4 decimal places.)
a) Probability between 75.0 and 90.0: P(75.0 < x < 90.0) ≈ 0.4030.
b) Probability of 75.0 or less: P(x ≤ 75.0) ≈ 0.3581.
c) Probability between 55.0 and 70.0: P(55.0 < x < 70.0) ≈ 0.2017.
To calculate the probabilities, use the standard normal distribution calculator.
a) Probability of a value between 75.0 and 90.0,
z₁ = (75.0 - 80.0) / 14.0
= -0.3571
z₂ = (90.0 - 80.0) / 14.0
= 0.7143
Using the standard normal distribution calculator, find the probabilities,
P(z < -0.3571) = 0.3581
P(z < 0.7143) = 0.7611
P(75.0 < x < 90.0)
= P(z₁) - P(z₂)
= 0.3581 - 0.7611
≈ -0.4030
However, probabilities cannot be negative, so we round it to 4 decimal places:
P(75.0 < x < 90.0) ≈ 0.4030
b) Probability of a value of 75.0 or less,
z = (75.0 - 80.0) / 14.0
= -0.3571
P(z < -0.3571) = 0.3581
P(x ≤ 75.0) ≈ P(z < -0.3571)
= 0.3581
c) Probability of a value between 55.0 and 70.0,
z₁= (55.0 - 80.0) / 14.0
= -1.7857
z₂ = (70.0 - 80.0) / 14.0
= -0.7143
P(z < -1.7857) = 0.0372
P(z < -0.7143) = 0.2389
P(55.0 < x < 70.0)
= P(z₁) - P(z₂)
= 0.0372 - 0.2389
≈ -0.2017
Again, round it to 4 decimal places,
P(55.0 < x < 70.0) ≈ 0.2017
Therefore, the required probabilities are,
a) P(75.0 < x < 90.0) ≈ 0.4030.
b) P(x ≤ 75.0) ≈ 0.3581.
c) P(55.0 < x < 70.0) ≈ 0.2017.
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Ayoooo some please help me I’m not even smart coach,, naw but if ur a female ;) Hmu on snap or watevaaaa Brian_marc naw but help me on this problem before u add me;)
Answer:
∠AMC = 76°
Step-by-step explanation:
1) Because ∠YMC = 170°, you need to add 5x+19 (∠YMA) and 5x+1 (∠AMC) to equal the length of ∠YMC:
170 = 5x + 19 + 5x + 1
2) Combine like terms:
170 = 10x + 20
3) Subtract 20 from both sides:
150 = 10x
4) Divide by 10:
x =15
5) Replace x in ∠AMC with 15:
5(15) + 1
6) Multiply:
∠AMC = 76°
The measure of ∠AMC is 76°.
Given that, m∠YMC=170°, m∠YMA=(5x+19)° and m∠AMC=(5x+1)°.
We need to find the value of m∠AMC.
What are adjacent angles?The two angles are said to be adjacent angles when they share the common vertex and side. The endpoint of the rays, forming the sides of an angle, is called the vertex of an angle. Adjacent angles can be complementary angles or supplementary angles when they share the common vertex and side.
Now, m∠YMA+m∠AMC=m∠YMC
⇒(5x+19)° + (5x+1)°=170°
⇒10x+20=170
⇒10x=150
⇒x=15
So, m∠AMC=5x+1=76°
Therefore, the measure of ∠AMC is 76°.
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if a,b, and c are three different numbers, which of the equations have no solution
The equation that has no solution will be ax + b = ax + c. Then the correct option is A.
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
If a, b, and c are three different numbers.
Let's check all the options, then we have
A: ax + b = ax + c, the variable gets eliminated, then the equation has no Solution.
B: ax + b = ax + b, the variable gets eliminated and constant too, then the equation has infinitely many Solutions.
C: ax = bc + c, the variable dost not get eliminated, then the equation has a unique Solution.
The equation that has no solution will be ax + b = ax + c. Then the correct option is A.
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The complete question is given below.
If a, b, and c are three different numbers, which of the following equations has NO solutions?
A: ax + b = ax + c
B: ax + b = ax+b
C: ax = bc + c
Emoji were first introduced on Japanese mobile phones in the year 1997.Write an inequality that describes y, the years before emoji were introduced.
Enter your inequality without a thousands separator.
The inequality that represents the years before emoji were introduced is y < 1997.
To describe the years before emoji were introduced, we can use the inequality:
y < 1997
In this inequality, "y" represents the number of years before 1997. The symbol "<" means "less than," indicating that "y" should be a year prior to 1997 for the statement to be true.
This inequality restricts the possible values of "y" to any year before 1997.
For example, if we substitute "y" with the value 1990, the inequality would be true:
1990 < 1997
This statement is true because 1990 is indeed less than 1997. However, if we substitute "y" with a value after 1997, such as 2000, the inequality would be false:
2000 < 1997
This statement is false because 2000 is not less than 1997.
Therefore, any value of "y" that satisfies the condition y < 1997 represents a year before emoji were introduced.
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270 qt: 105 gal
Simplified
Answer:
wouldn't it be 18/7
Step-by-step explanation:
270 ÷ 15 over 105 ÷ 15
Ive done a I just need b :)
Answer:
Step-by-step explanation:
Simon needs 1000 ML of milk
Craig needs 60 G of butter
Answer:
Craig needs 7.5g of butter to make 12 pancakes.
Step-by-step explanation:
To calculate how many times you need to multiply 8 by to make 12, simply divide 12 by 8. This gives you 1.5.
1.5*5 =7.5
So Craig needs 7.5g of butter to make 12 pancakes.
12 divided by 912
In long division
Solution of 12 divided by 912 is, 76
We have,
To calculate 12 divided by 912.
Now, By using long division method,
12 divided by 912.
12 ) 912 (76
- 84
---------
72
- 72
------------
0
Therefore, Solution of 12 divided by 912 is, 76
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Use the quadratic formula to solve 2x2 + 2x - 12?
Answer:
2,-3
Step-by-step explanation:
i did the math lol- trust me
Answer:
yellow: 2 & -3
Step-by-step explanation:
State whether the equation 2 2 = 3 2 defines (enter number of statement): 1. A hyperboloid of two sheets 2. A hyperboloid of one sheet 3. An ellipsoid 4. None of these 2 (1 point) State whether the equation y 2 2= + defines: A hyperbolic paraboloid
The equation\(2^2 = 3^2\) does not define any of the given shapes, as it is simply a false statement. The equation \(y^{2/2 }= x^{2/2\) does define a hyperbolic paraboloid.
On the other hand, the equation \(y^{2/2 }= x^{2/2\) defines a hyperbolic paraboloid. A hyperbolic paraboloid is a three-dimensional surface that has a saddle-like shape, with two opposing parabolic curves that cross each other. It is also known as a "saddle surface" due to its shape.
The equation \(y^{2/2 }= x^{2/2\) can be rewritten as \(y^{2/2 }= x^{2/2\), which is in the form of a hyperbolic paraboloid equation. This surface can be obtained by taking a parabolic curve and sweeping it along a straight line in a perpendicular direction. This creates a surface with a hyperbolic cross-section in one direction and a parabolic cross-section in the other direction.
Hyperbolic paraboloids have a wide range of applications in architecture, engineering, and design. They are often used in the construction of roofs, shells, and other structures that require strong and lightweight materials. They can also be used to create interesting and unique shapes in art and sculpture.
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The equation 2x^2 = 3y^2 does not define any of the given three-dimensional shapes.
This is because it does not contain a z variable, which is necessary to define these shapes in three dimensions. Therefore, the equation cannot represent any of the given shapes.
On the other hand, the equation y^2 = 2x defines a hyperbolic paraboloid. This is a three-dimensional shape that resembles a saddle. It is formed by taking a hyperbola and rotating it around its axis. In this case, the hyperbola is oriented along the x-axis, and the parabolic cross-sections occur in the y-direction.
The equation can be rewritten as y^2 = 2(x - 0)^2, which is the standard form of a hyperbolic paraboloid. This equation can be graphed in a three-dimensional coordinate system, with the x-axis and y-axis forming the base and the z-axis representing the height of the surface above the base.
The shape is characterized by its saddle-like appearance, with two opposing hyperbolic curves along the x-axis and two opposing parabolic curves along the y-axis.
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6 square yards of fiberglass cloth at $13.99 per square yard
Answer:
$83.94
Step-by-step explanation:
13.99 × 6 = 83.94
Which of the following rational functions is graphed below?
Answer:
C
Step-by-step explanation:
In the graph, you can see an asymptote is happening for x=-5, so look for an equation that divides by 0 for x=-5. That is clearly C, for x=-5 the denominator is 0.
The equation of a parabola is y=2x^2 +8x +3
Write the equation in vertex form and show your work.
Answer: y = 2(x + 2)² - 5
Step-by-step explanation:
We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.
Given:
y = 2x² + 8x + 3
Factor the 2 out of the first two terms:
y = 2(x² + 4x) + 3
Add and subtract \(\frac{b}{2} ^2\):
y = 2(x² + 4x + 4 - 4) + 3
Distribute the 2 into -4 and combine with the 3:
y = 2(x² + 4x + 4) - 5
Factor (x² + 4x + 4):
y = 2(x + 2)² - 5
The ratio table shows the numbet of miles karen can drive for 1,2,3 and 4 gallons of gasoline.Based on the table, How far would she be able to drive on 8 gallons of gasoline
Using a proportional relationship, it is found that she would be able to drive 240 miles on 8 gallons of gasoline.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
Researching the problem on the internet, it is found that she drives 30 miles per gallon, hence the function for the distance driven considering the number of gallons in the tank is given by:
D(n) = 30n.
She has n = 8 gallons, hence the distance is given by:
D(8) = 30 x 8 = 240 miles.
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pls help this assignment is due tomorrow!!!! square root of 144x^3
Answer:
Step-by-step explanation:
First take the square root of the first number 144, then take the square root of your variable x^3
your final answer should be 12x^(3/2)
Contamination is a problem in the manufacture of optical storage disks. The number of particles of contamination that occur on an optical disk has a Poisson distribution, and the average number of particles per square centimeter of media surface is 0.1. The area of a disk under study is 100 cm2. Find the probability more than 12 particles occur in the area of a disk under study.
The probability that more than 12 particles occur in the area of a disk under the study is 0.20844.
The number of particles follows a Poisson Distribution.
A Poisson Distribution over a variable X, having a mean λ, has a probability for a random variable x as \(P(X = x) = e^{-\lambda} \frac{\lambda^{x}}{x!}\) .
In the question, x = 12.
λ = 100*0.1 = 10.
To find : P(X > 12)
P(X > 12) = 1 - P(X ≤ 12) = 1 - poissoncdf(10,12)
As to find the probability of a Poisson Distribution P(X ≤ x), for a mean = λ, we use the calculator function poissoncdf(λ,x).
Therefore, P(X > 12) = 1 - 0.79156 = 0.20844.
Therefore, the probability that more than 12 particles occur in the area of a disk under the study is 0.20844.
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Find the dual for the following linear programming problem: (i) Maximize Z= 3x + 4y + 5z Subject to: X + 2y + z ≤ 10 7x + 3y + 9z ≤ 12 X, Y, 2 ≥ 0. [2 MARKS] (ii) Minimize Z = y1 + 2y2 Subject to: 3yi + 4y2 > 5 2y1 + 6y2 ≥ 6 Yi + y2 ≥ 2
The dual for the given linear programming problems are as follows:
(i) Minimize Z' = 10a + 12b Subject to: a + 7b ≥ 3 2a + 3b ≥ 4 a + 9b ≥ 5 a, b ≥ 0.
(ii) Maximize Z' = 5a + 6b + 2c Subject to: 3a + 2b + c ≤ 1 4a + 6b + c ≤ 2 a + b ≤ 0 a, b, c ≥ 0.
What are the dual formulations for the given linear programming problems?In the first problem, we have a maximization problem with three variables (x, y, z) and two constraints. The dual formulation involves minimizing a new objective function with two variables (a, b) and four constraints. The coefficients of the variables and the constraints are transformed according to the rules of duality.
The primal problem is:
Maximize Z = 3x + 4y + 5z
Subject to:
x + 2y + z ≤ 10
7x + 3y + 9z ≤ 12
x, y, z ≥ 0
To find the dual, we introduce the dual variables a and b for the constraints:
Minimize Z' = 10a + 12b
Subject to:
a + 7b ≥ 3
2a + 3b ≥ 4
a + 9b ≥ 5
a, b ≥ 0
In the second problem, we have a minimization problem with two variables (y1, y2) and three constraints. The dual formulation requires maximizing a new objective function with three variables (a, b, c) and four constraints. Again, the coefficients and constraints are transformed accordingly.
The primal problem is:
Minimize Z = y1 + 2y2
Subject to:
3y1 + 4y2 > 5
2y1 + 6y2 ≥ 6
y1 + y2 ≥ 2
To find the dual, we introduce the dual variables a, b, and c for the constraints:
Maximize Z' = 5a + 6b + 2c
Subject to:
3a + 2b + c ≤ 1
4a + 6b + c ≤ 2
a + b ≤ 0
a, b, c ≥ 0
The duality principle in linear programming allows us to find a lower bound (for maximization) or an upper bound (for minimization) on the optimal objective value by solving the dual problem. It provides useful insights into the relationships between the primal and dual variables, as well as the economic interpretation of the problem.
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The following cone has a slant height of 17
cm and a radius of 8
cm.
What is the volume of the cone?
Responses
480π
320π
544π
The formula for the volume of a cone is:
V = (1/3)πr²h
where r is the radius of the base, h is the height of the cone, and π is pi.
In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:
h² = s² - r²
h² = 17² - 8²
h² = 225
h = 15
Now that we have the height, we can plug in the values for r and h into the formula for the volume:
V = (1/3)π(8²)(15)
V = (1/3)π(64)(15)
V = (1/3)(960π)
V = 320π
Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.
For 30 seconds of ad time during the 2021 Super Bowl, the cost is $5.1 million dollars.
This year the company, TurboTax will have one 45-second commercial. How much money will they
spend? Write your answer in scientific notation. Make sure to show your work.
Answer:
$7.65 million dollars / $7.55 * 10^6
Step-by-step explanation:
30*1.5=45 seconds
5.1*1.5=7.65
for scientific notation just take the number of zeros and use that for exponent, and make a dot so it is a number less than 10
What is the equation of the line that passes through the point ( − 0.5 , 8 ) and has a slope of − 5
Answer (assuming that the equation can be written in point-slope form):
\(y-8 = -5(x+\frac{1}{2} )\)
Step-by-step explanation:
Use the point-slope formula, \(y-y_1 = m (x-x_1)\) , to write the equation of the line in point-slope form. Substitute values for the \(m\), \(x_1\), and \(y_1\) in the formula.
Since \(m\) represents the slope, substitute -5 in its place. Since \(x_1\) and \(y_1\) represent the x and y values of one point the line intersects, substitute the x and y values of (-0.5, 8) into the formula as well. Remember that we can convert -0.5 to a fraction: \(-\frac{1}{2}\). So, substitute \(-\frac{1}{2}\) for \(x_1\) and 8 for \(y_1\). This gives the following answer and equation:
\(y-8 = -5(x+\frac{1}{2} )\)
During a snowstorm, Snowfill an a constant rate for a number of hours. Then it stoped snowing for a number of hours. then it started Up again at a different constant rate Andrew Madie graph showing the edges of the snow on the ground over time using the data he collected. After how many hours were there 7 inches of snow on the ground
Answer: Unable to answer
Step-by-step explanation: If you do not show what the constant rate is, I am unable to solve it for you.
Question 3 (20 points)
Point M is the midpoint of AB. Find BM.
4x + 13
3x + 17
A
O a
O b
O c
Od
58
133
4
29
M
ty
B
Answer: 29
Step-by-step explanation: since m is the midpoint, then the two sides are equal
4x + 13 = 3x + 17
4x - 3x = 17 - 13
x = 4
Therefore
BM = 3x + 17
BM = 3(4) + 17
BM = 12 + 17
BM = 29
help me
how do i graph
y=3-|x-1|
Answer:
- x= 10-6y+y²
Step-by-step explanation:
|x-1|=3-y
(|x-1|)²=(3-y)²
x-2x+1=9-6y+y²
-x=9-6y+y²+1
a study uses statistical methods to conclude that there is an association between the weights of cars and the amounts of fuel consumption. the study then concludes that adding weight to a car is what makes it consume more fuel. what is wrong with reporting the results of the survey this way?
The wrong reporting on the survey represented by study uses statistical method is given by option A. The conclusion is based on a correlation that implies causality.
The problem with reporting the results of the survey as 'adding weight to a car is what makes it consume more fuel'.
It implies causality based solely on the observed correlation between car weight and fuel consumption.
Correlation does not imply causation.
Meaning that the fact that two variables are correlated does not necessarily mean that one causes the other.
It is possible that there is a third variable that causes both car weight and fuel consumption to increase.
Or that the correlation is purely coincidental.
It is important to be cautious about interpreting correlation as causation.
And based on statistical methods consider other possible explanations for the observed relationship between the variables.
Therefore, correct answer based on study of statistical methods is option A. conclusion is based on a correlation that implies causality.
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The above question is incomplete, the complete question is:
A study uses statistical methods to conclude that there is an association between the weights of cars and the amounts of fuel consumption. The study then concludes that adding weight to a car is what makes it consume more fuel. What is wrong with reporting the results of the survey this way?
A)The conclusion is based on a correlation that implies causality.
B)The conclusion is based on a small sample.
C)The conclusion is based on a voluntary response sample.
D)The conclusion is based on a bad sample.