All statements of equality below are correct.
A.True
B.False

Answer:

Step-by-step explanation:

ratio and proportion:

28 photos    =    21  photos

8 min                     x min.

21 (8) = 28 (x)

x = 168 / 28

x = 6 min.

Answer:

2369

Step-by-step explanation:

I hope this helps

Answer:

Surface area of the roof of the kennel, including the bottom face is 58.96 ft^2

Step-by-step explanation:

The image is attached below

For the triangular sides of the roof, area is

A = \(\frac{1}{2}bh\)

where b is the base = 4 ft

h is the vertical height = 2.24 ft

A =  \(\frac{1}{2}*4*2.24 =\) 4.48 ft^2

for the two faces we have 2 x 4.48 ft^2 = 8.96 ft^2

For the rectangular sections of the roof, area is

A = \(lh\)

where \(l\) is the length of the rectangle = 5 ft

h is the height of the rectangle = 3 ft

A = 5 x 3 = 15 ft^2

For the two rectangular faces, we have 2 x 15 ft^2 = 30 ft^2

For the bottom face, area is

A = \(lw\)

where \(l\) is the length of the house = 5 ft

w is the width of the house = 4 ft

A = 5 x 4 = 20 ft^2

Surface area of the roof of the dog kennel is

8.96 ft^2 + 30 ft^2 + 20 ft^2 = 58.96 ft^2

Answer:

0.363636363636364

Step-by-step explanation:

100 goes into 257 0.363636363636364 times

Answer:

Fraction: 100/257

Decimal:  0.3891050583

Hope this Helps!

Using a 35-bag sample with a mean of 406.0 grams, a known standard deviation of 25.0 grams, and a level of significance of 0.05, you can perform a one-tailed Z-test to determine whether to reject or fail to reject the null hypothesis.

To test if the potato chip manufacturer's bag filling machine is working correctly at the 411.0-gram setting, we will state the hypotheses using the given terms.

Null Hypothesis (H0): The machine fills bags correctly, with a mean weight of 411.0 grams (µ = 411.0 grams)
Alternative Hypothesis (H1): The machine is underfilling bags, with a mean weight less than 411.0 grams (µ < 411.0 grams)

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Answer:

81.64 ft

Step-by-step explanation:

To find the circunference, You need to know the formula first. that is:

C= πd or 2rπ

so;

26 x 3.14 is

81.64.

Hope this helped

Answer:

81.64 meters

Step-by-step explanation:

The formula for circumference is C=2πr. In your case, you will use 3.14 instead of π. The diameter is 26m, which should be divided by 2 to get the radius.

26/2=13

Then, plug everything in the formula:

C=2×3.14×13

C=81.64m

Answer:

x=4, y=-1

Step-by-step explanation:

x=3y +7. equation 1

3x+4y=8. equation 2

substitute equation 1 into equation 2

3 (3y +7)+4y =8

9y+21+4y=8

13y+ 21=8

13y=8-21

y=-13/13

y=-1

substitute the value of y into equation 1

x=3(-1)+7

x=-3+7

x=4

Answer:

12/5

Step-by-step explanation:

4/5 divided by 1/3

=4/5*3/1

=4/5*3

=12/5

The centripetal force is the force that acts on an object moving in a circular path, directing it towards the center of the circle. option a.

When a car is driving around a curve, the centripetal force is provided by the frictional force between the tires and the road. This force acts inwards, towards the center of the circle, and is responsible for keeping the car moving in a circular path.

The centripetal force is always perpendicular to the direction of motion, so option (b) and (d) can be eliminated.

Additionally, there is no force that acts away from the center of the circle, so option (c) can also be eliminated. Option (e) is not applicable since the question is asking about the direction of the force, not its orientation.

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The transformation T: R^3 → R^2 defined by T(x1, x2, x3) = (|x1|, 0) is not linear transformation as it violates the additivity and homogeneity properties of linearity.

To show that the transformation T: R^3 → R^2 defined by T(x1, x2, x3) = (|x1|, 0) is not linear, we need to demonstrate that it violates at least one of the two properties of linearity, namely, additivity and homogeneity.

Additivity: T(u + v) = T(u) + T(v) for all vectors u and v in R^3.

Let u = (1, 2, 3) and v = (4, 5, 6) be two vectors in R^3. Then,

T(u) = T(1, 2, 3) = (|1|, 0) = (1, 0)

T(v) = T(4, 5, 6) = (|4|, 0) = (4, 0)

T(u + v) = T(1+4, 2+5, 3+6) = T(5, 7, 9) = (|5|, 0) = (5, 0)

However,

T(u) + T(v) = (1, 0) + (4, 0) = (5, 0)

Since T(u + v) ≠ T(u) + T(v), the transformation T is not additive and hence not linear transformation.

Homogeneity: T(cu) = cT(u) for all vectors u in R^3 and all scalars c.

Let u = (1, 2, 3) be a vector in R^3, and let c = 2 be a scalar. Then,

T(u) = T(1, 2, 3) = (|1|, 0) = (1, 0)

T(cu) = T(2, 4, 6) = (|2|, 0) = (2, 0)

However,

cT(u) = 2(1, 0) = (2, 0)

Since T(cu) ≠ cT(u), the transformation T is not homogeneous and hence not linear.

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Option D is incorrect because it gives a value that is not consistent with the scatter plot and the line of fit. The correct answer is: The y-intercept is 40.98. The machine starts with 40.98 ounces of diet soda.

In the context of a graph, the y-intercept is the point where a straight line or curve intersects the y-axis. It is the value of the dependent variable (y) when the independent variable (x) is equal to zero. Mathematically, it is the value of y when x = 0 in the equation of the line or curve. The y-intercept is also known as the initial value or starting point of the graph. It is often denoted as (0, b), where b is the y-coordinate of the intercept point.

The y-intercept of the line of fit represents the starting point of the relationship between the two variables, in this case, the amount of diet soda in the machine and the time after the machine is filled. Therefore, the y-intercept value of 40.98 means that the machine starts with 40.98 ounces of diet soda when it is filled.

Option A is incorrect because the y-intercept is a starting value, and it does not represent a rate of change.

Option B is also incorrect because it suggests that the machine loses 4.8 fluid ounces of diet soda every hour, which is not what the y-intercept represents.

Option D is incorrect because it gives a value that is not consistent with the scatter plot and the line of fit.

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Answer:

6.97

Step-by-step explanation:

All you have to do is divide 13.94 by 2!

Answer:

p=   100 /697  or  =6.970

Step-by-step explanation:

π/32 is the area enclosed by the curve r= sin(8θ)

The given curve is polar curve and hence the area of the polar curve is given by:

Let A be the area of the curve so,

A = \(\int\limits^a_b {\frac{1}{2} r^2 } \, d\theta\)

where a and b is the boundary at which r=0

so after equation r=0

sin(8θ) =0

=> sin(8θ) =0

=> 8θ = 0,π

=> θ = 0, π/8

so a=0 , b= π/8

now  

   A = \(\int\limits^a_b {\frac{1}{2} r^2 } \, d\theta\)    ------(i)

 so   \(r^2\) = (sin(8θ))^2

=>  \(sin^2\) ( 8θ )

ans we know that

cos(2α) = 1 -  2\(sin^2\) α

so   \(r^2\)  = (1- cos(16θ) )/2

putting the value of r in the equation (i) we get :-

A = \(\int\limits^a_b {\frac{1}{4} *(1-cos(16\alpha ) } \, d\alpha\)

=> 1/4* \(\int\limits^a_b {(1-cos(16\alpha ) } \, d\alpha\)

here a=0 and b=π/8

after putting the value and solving the integral

A = π/32

so A is the area enclosed by r=sin(8θ) is π/32

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Answer: 2 2/5

Step-by-step explanation:

hope that helped :)))

Answer:

Exactly one solution

Step-by-step explanation:

Because they two lines dont have the same slope, they must have only one solution.

Hi! Im pretty sure its B, i took that test before and i think B is the correct answer!

Hope this helped you xx <3

Answer:

\(m=\frac{y-b}{x-a}\)

Step-by-step explanation:

Considering no values were supplied, the most we can do here is rearrange the equation to get m on its own.

In the equation y - b = m(x - a), since (x - a) is multiplicative of m, we can divide this value to remove it from m's side. This leaves us with:

\(m=\frac{y-b}{x-a}\)

Answer:

Step-by-step explanation:

To solve y-b=m(x-a) for m, divide both sides of this equation by (x - a):

           y - b

m = ---------------

          (x - a)

Alexander Hamilton was a staunch supporter of the Federalist Party and, in particular, a strong supporter of a powerful central government. He opposed Thomas Jefferson's philosophy of a strict interpretation of the Constitution and advocated for the creation of a strong economy, and the promotion of manufacturing and industry.

Their visions differed. Hamilton had a vision for America that was far more centralized and industrialized than that of Jefferson. He wanted a strong national government that would be able to support a thriving economy by promoting industry, commerce, and manufacturing, while Jefferson favored a limited federal government that would be unable to interfere in the lives of individual citizens.In Hamilton's view, the United States needed to establish itself as a world power, and he believed that this could be accomplished through a strong military and a powerful economy.

He saw the United States as a great commercial and manufacturing nation, and he believed that it could only achieve this status by embracing industrialization and creating a national bank that would provide the capital necessary to finance economic growth. Jefferson, on the other hand, believed that the federal government should have only limited powers and that these powers should be strictly defined by the Constitution. He believed that the states should have more power than the federal government and that the country should be primarily agrarian.

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Answer: -2

Step-by-step explanation: 0 plus -2 is -2. -2 plus -2 is -4

Answer:

SA = 360π in²

Step-by-step explanation:

The slant height l is the hypotenuse of the right triangle inside the cone.

Using Pythagoras' identity to find l

l² = 24² + 10² = 576 + 100 = 676 ( take the square root of both sides )

l = \(\sqrt{676}\) = 26

Then

SA = πrl + πr²

      = (π × 10 × 26) + (π × 10²)

      = 260π + 100π

      = 360π in²

Answer:

12x=144

divide both sides by 12

x=12

Answer:

12

Part A: 144/12=12

Step-by-step explanation:

You can only buy 12 cartridges of ink because 144/12=12. Therefore, 144/12=12 would be you equation.

Answer: sin should be 10.8/ 13.7

Step-by-step explanation:

refer to sohcahtoa
this is because sin is opposite (10.8) over hypotenuse (13.7)
S Sin
O opposite
H  Hypotenuse

10.8 is opposite of the θ, 1.8 is not next to the θ, 8.4 is, so it is the opposite.
The hypotenuse is always the slanted line.

Answer: 3.5⋅(−1.2)=4.2

Using the simplex method, the maximum value of Z=5A+4B is found to be 19.2 when A=3.6 and B=1.2. The calculations can be confirmed by using any software that solves linear programming problems.

To solve the given linear programming problem using the simplex method, we start by converting the problem into standard form. We introduce slack variables to convert the inequalities into equations.The initial tableau is as follows:

      | A | B | S1 | S2 | S3 | S4 |   RHS

------------------------------------------

 Z    | -5 | -4 | 0  | 0  | 0  | 0  |    0

------------------------------------------

 S1   |  6 |  4 | 1  | 0  | 0  | 0  |   24

 S2   |  1 |  2 | 0  | 1  | 0  | 0  |    6

 S3   | -1 |  1 | 0  | 0  | 1  | 0  |    1

 S4   |  0 |  1 | 0  | 0  | 0  | 1  |    2

We perform the simplex iterations until the optimal solution is reached. After applying the simplex method, the final tableau is obtained as follows:

      |  A  |  B  |  S1  |  S2  |  S3  |  S4  |   RHS

------------------------------------------------------

 Z    |  0  | 1.8 | 0.2  | -1   | -0.4 |  0.4 | 19.2

------------------------------------------------------

 S1   |  0  |  0  |  0   | 1.5  | -1   |  1   |  3

 S2   |  1  |  0  | -0.5 |  0.5 |  0.5 | -0.5 | 1.5

 A    |  1  |  0  | 0.5  | -0.5 | -0.5 |  0.5 |  0.5

 S4   |  0  |  0  |  1   | -1   | -1   |  1   |  1

From the final tableau, we can see that the maximum value of Z is 19.2 when A=3.6 and B=1.2. This solution satisfies all the constraints of the problem. The calculations can be verified using any software that solves linear programming problems, which should yield the same optimal solution.

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To determine how many times the diameter of Earth is the diameter of Jupiter, we divide the diameter of Jupiter by the diameter of Earth.

To find the ratio of the diameter of Jupiter to the diameter of Earth, we divide the diameter of Jupiter by the diameter of Earth:

Ratio = Diameter of Jupiter / Diameter of Earth

Substituting the given values:

\(Ratio = (9*10^4 miles) / (8*10^3 miles)\)

To divide these values, we subtract the exponents since they have the same base (10):

\(Ratio = (9 / 8) * (10^4 / 10^3)\)

Simplifying the fraction, we have:

\(Ratio = 1.125 * 10^{(4-3)}\)

The exponent 4 - 3 results in 1, so the ratio becomes:

\(Ratio = 1.125 *10^1\)

Finally, we convert this scientific notation to standard notation:

Ratio = 11.25

Therefore, the diameter of Jupiter is approximately 11.25 times the diameter of Earth.

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Answer:

y = -2/3x - 5

Step-by-step explanation: