Find the volume of the cylinder shown. Use 3.14 for pi. Round your answer to the nearest tenth. A cylinder with radius 5 yards and height 13 yards.

Answer:

simplify 3/5 + 3/2 is

A.21/10

The amount of gallons of water is 160 and  gallons of the premium antifreeze solution that must be mixed is 80.

Let y represent the volume of water

Hence,

Total volume equation :

x +y = 240 equation 1

Pure antifreeze volume:

0.60 = .20 × 240  gallons equation 2

Hence,

Equation 2

x =  .20 × 240 /.60

x = 48 /.60

x = 80 (Pure antifreeze)

So,

y = 240 -80

y = 160 gallons of water

Therefore the volume of water is 160 gallons.

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Answer:

\(y = 2x + 24\)

Step-by-step explanation:

\(10 = 2( - 7) + b\)

\(10 = - 14 + b\)

\(b = 24\)

\(y = 2x + 24\)

Answer:

\(\Huge \boxed{\text{13.66$\%$}}\)

Step-by-step explanation:

To find the rate, we need to use the following formula:

\(\LARGE \boxed{ \boxed{\text{Rate = $\frac{\text{Portion}}{\text{Base}}$$\times$100}}}\)

Where "Portion" is the part of the whole and "Base" is the whole.

Now, let's plug in the given values:

\(\large \text{Rate = $\frac{\text{50}}{\text{366}}$$\times$100 = 13.66 (Rounded to the nearest tenth of a percent)}\)

Therefore, the rate is 13.66% (rounded to the nearest tenth of a percent).

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If he wants an average of 84, he needs to get at least 93 points.

Remember that the average value between 3 values A, B, and C is:

(A + B + C)/3

Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:

(76 + 83 + x)/3 = 84

159 + x = 252

x = 252 - 159

x = 93

So he needs to get at least 93 points in the next exam.

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Answer:

75%

Step-by-step explanation:

\( \frac{27}{36} \times 100\%\)

Each function on the left should be matched to all points on the right that would be located on the graph of the function as follows;

f(x) = 2x + 2         ⇒   (0, 2).

f(x) = 2x² - 2        ⇒   (-1, 0).

\(f(x) = 2\sqrt{x+1}\)   ⇒   (0, 2).

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

Next, we would determine the point or ordered pair that represent a solution on the graph of each of the function as follows;

For the ordered pair (0, 2), we have:

f(x) = 2x + 2

2 = 2(0) + 2

2 = 2 (True).

For the ordered pair (-1, 0), we have:

f(x) = 2x² - 2

0 = 2(-1)² - 2

0 = 2 - 2

0 = 0 (True).

For the ordered pair (0, 2), we have:

\(f(x) = 2\sqrt{x+1}\\\\2= 2\sqrt{0+1}\\\\2 = 2\sqrt{1}\)

2 = 2 (True).

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Answer: A B F

Step-by-step explanation:

A. The signal of each coefficient is given by:

B. The coefficient closest to zero is of B.

C. The coefficient with the least value is of C.

The transformations are vertical stretch/compression of the absolute function.

Then the signal is defined as follows:

The coefficient closest to zero is for the biggest vertical compression, which is of B, for which the graph stretches horizontally and compresses vertically.

The least value is for the biggest reflected stretching, which is in item c, in which the curve has a larger vertical stretch than in item d.

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Answer:

3/4

Step-by-step explanation:

If she has 3 pans and pours 1/4 in each that's 3/4

Answer:

3/4 cups of choclate chips

Step-by-step explanation:

1/4+1/4+1/4=3/4

Answer:

2x(sinx^2 + x^2cosx^2).

Step-by-step explanation:

We use the product rule:

If u and v are functions of x then:-

d(uv)/dx = u dv/dx + v du/dx

So:

d(x^2 sinx^2)dx

=  x^2 * d(sinx^2)/dx + sinx^2 * d(x^2)/dx

= x^2 * 2xcosx^2 + sinx^2 * 2x

=  2x^3cosx^2 + 2xsinx^2

= 2x(sinx^2 + x^2cosx^2).

The calculated value of x at g(x) = 2 is x = 2.5

from the question, we have the following parameters that can be used in our computation:

f(x) = 3x - 1

Also, we have

g(x) = 2x - 3

When g(x) - 2, we have

2x - 3 = 2

So, we have

2x = 5

Divide by 2

x = 2.5

Hence, the value of x at g(x) = 2 is x = 2.5

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Answer:

using of fractional exponents give us the value 6(x^2y^3)^1/2 or 6xy^3/2.

Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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Answer:

D) -21.5

Step-by-step explanation:

Answer:

75.36 cubic units

Step-by-step explanation:

The volume of a cylinder is \(V=\pi r^{2}h\) where \(V\) is the volume of the cylinder, \(r\) is the radius of the cylinder's base, and \(h\) is the height of the cylinder. This problem requires that we use 3.14 for the constant \(\pi\).

With the given information, this means that the volume of the cylinder is:

\(V=\pi r^{2}h\)

\(V=3.14(2)^{2}(6)\)

\(V=3.14(4)(6)\)

\(V=3.14(24)\)

\(V=75.36\)

Therefore, the volume of the cylinder is 75.36 cubic units

Answer:2

Step-by-step explanation:

We can see here that the measurements that can create more than one triangle is option A. The one that refers to the three angles measuring 75 degrees...

Triangles are known to be three-sided polygons having three vertices. It is one of the basic geometric forms. The name for a triangle with vertices A, B, and C is triangle ABC.

We must think about the triangle inequality theorem, which states that the total of the lengths of any two sides of a triangle must be greater than the length of the remaining side, to figure out which measurements can produce more than one triangle.

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Answer:

25-1=24

2*24=48

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Answer:

600/7% OR 85.71%

Step-by-step explanation:

increase in speed =v-u

I=115-85

I=30km/h

percentage increase =(I/u) ×100

30/85 ×100

6/17×100

600/7%

Answer:

x = 26

Step-by-step explanation:

the 3 angles lie on the straight line DAC and sum to 180° , that is

4x - 8 + 34 + 76 - x = 180

3x + 102 = 180 ( subtract 102 from both sides )

3x = 78 ( divide both sides by 3 )

x = 26

this is the answer

210.28

Answer:

Therefore, the angle ∠CDA is 58°.

Step-by-step explanation:

∠CDA = 58°

In the given figure, let's consider the angle ∠CDA as x.

Since AB is the diameter of the circle, we know that the angle subtended by any diameter at any point on the circumference is always 90°. Therefore, ∠CAB = 90°.

In triangle CAD, the sum of angles is 180°. So, we have:

∠CAD + ∠CDA + ∠CAB = 180°

Substituting the known values:

32° + x + 90° = 180°

Combining like terms:

x + 122° = 180°

Subtracting 122° from both sides:

x = 180° - 122°

x = 58°

Answer:

A. The separate stanzas force readers to stop and consider the parts that make up each word, which reflects the theme that all elements, however small or mundane, make up a greater whole.

Step-by-step explanation: I got it correct on edmentum

The effect  William Carlos Williams achieve is the separate stanzas force readers to stop and consider the parts that make up each word, which reflects the theme that all elements, however small or mundane, make up a greater whole.

Option A is the correct answer.

The Red Wheelbarrow" is a short poem by the American poet William Carlos Williams.

It was first published in 1923 as part of a collection of his poems titled "Spring and All".

The poem consists of just sixteen words arranged in a specific pattern, creating a striking visual image of a red wheelbarrow sitting beside some white chickens.

We have,

The poem "The Red Wheelbarrow" is known for its use of simple, ordinary language to create a vivid image of a rural scene.

By breaking up the words "wheelbarrow" and "rainwater" and placing them in separate stanzas, Williams draws attention to each individual element of the scene and emphasizes their importance.

This reflects the poem's theme that even the smallest and seemingly insignificant details are essential and contribute to the larger whole.

The use of enjambment, or the continuation of a sentence without a pause beyond the end of a line, also adds to the effect of creating a sense of unity and interconnectedness between the elements of the scene.

Thus,

The effect  William Carlos Williams achieve is the separate stanzas force readers to stop and consider the parts that make up each word, which reflects the theme that all elements, however small or mundane, make up a greater whole.

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The equation that is equivalent to P = B + Brz is:

r = (P - B) / Bz

To see why, we can rearrange the original equation as follows:

P = B + Brz

P - B = Brz

(P - B) / Bz = r

Therefore, r = (P - B) / Bz is equivalent to P = B + Brz.

Now let's check the given options:

x = P/Br + 1/r

This equation is not equivalent to P = B + Brz.

r = (P - B) / Bz

This is the correct equation that is equivalent to P = B + Brz.

r = Bz / (P - B)

This equation is not equivalent to P = B + Brz.

B = P / (rz + 1)

This equation is not equivalent to P = B + Brz.

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Domain = (a,b]

Range = [mc + n,md + n)

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Explanation:

The domain stays the same because we still have to go through f(x) as our first hurdle in order to get g(x).

Think of it like having 2 doors. The first door is f(x) and the second is g(x). The fact g(x) is dependent on f(x) means that whatever input restrictions are on f, also apply on g as well. So going back to the "2 doors" example, we could have a problem like trying to move a piece of furniture through them and we'd have to be concerned about the f(x) door.

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The range will be different however. The smallest value in the range of f(x) is y = c as it is the left endpoint. So the smallest f(x) can be is c. This means the smallest g(x) can be is...

g(x) = m*f(x) + n

g(x) = m*c + n

All we're doing is replacing f with c.

So that means mc+n is the starting point of the range for g(x).

The ending point of the range is md+n for similar reasons. Instead of 'c', we're dealing with 'd' this time. The curved parenthesis says we don't actually include this value in the range. A square bracket means include that value.

About 88.49% of cellphone plans have charges that are less than $83.60.

To determine the percentage of plans that have charges less than $83.60, we need to find the z-score (z) using the given mean and standard deviation, and then look up the corresponding area under the normal distribution curve.

z = (x – μ) / σ

where x = 83.60, mean, μ =  62 and standard deviation, σ = 18

Thus, the z-score of $83.60 is:

z = (83.60 - 62) / 18 = 1.2

Using a standard normal distribution table, we can find that the area to the left of z = 1.20 is 0.8849 or 88.49% (check image attached).

Therefore, about 88.49% of cellphone plans have charges that are less than $83.60.

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