f(x) = 2x + 5 and g(x) = 5x², find (fog)(x)

We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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the answer to your question might be (B).

Answer:

y = 5

Step-by-step explanation:

\(14y-7y=35\\7y=35\\y=5\)

14 minus 7 is 7

7Y is equal to 35

divide both sides by 7 is equal to 5

Answer:

Measure the heights and weights of a random sample of 15 students of the same sex.  i think

Step-by-step explanation:

Answer:

There is not enough evidence to support the claim that women who exercise daily have a significantly different duration of labor than all women.

Standard error sm = 1.634

Test statistic t = 1.102

P-value = 0.28

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that women who exercise daily have a significantly different duration of labor than all women.

Then, the null and alternative hypothesis are:

\(H_0: \mu=16\\\\H_a:\mu\neq 16\)

The significance level is 0.05.

The sample has a size n=29.

The sample mean is M=17.8.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=√77.4=8.8.

The estimated standard error of the mean is computed using the formula:

\(s_M=\dfrac{s}{\sqrt{n}}=\dfrac{8.8}{\sqrt{29}}=1.634\)

Then, we can calculate the t-statistic as:

\(t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{17.8-16}{1.634}=\dfrac{1.8}{1.634}=1.102\)

The degrees of freedom for this sample size are:

\(df=n-1=29-1=28\)

This test is a two-tailed test, with 28 degrees of freedom and t=1.102, so the P-value for this test is calculated as (using a t-table):

\(\text{P-value}=2\cdot P(t>1.102)=0.28\)

As the P-value (0.28) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that women who exercise daily have a significantly different duration of labor than all women.

Answer:

Let the original number be x.

Thus,

\( \\ - 5(x - 16) = 20 \\ \\ - 5x + 80 = 20 \\ \\ 5x = 60 \\ \\ x = 12\)

So, The original number is 12.

The area of the shaded region, with a frame of 3 units wide, is 264 square units. The inner rectangle is 6x4 units, and the outer rectangle is 18x16 units.

To solve the given problem, we have to find the area of the shaded region if the frame is 3 units wide. If the frame is 3 units wide, then the dimensions of the inner rectangle (the shaded region) will be (12 - 6) × (10 - 6) which simplifies to 6 × 4.

Therefore, we can say that the inner rectangle has a length of 6 units and a width of 4 units.The dimensions of the outer rectangle are (12 + 3 + 3) × (10 + 3 + 3) which simplifies to 18 × 16. Therefore, we can say that the outer rectangle has a length of 18 units and a width of 16 units.

The area of the shaded region can be obtained by subtracting the area of the inner rectangle from the area of the outer rectangle. Therefore, the Area of the outer rectangle = length × width= 18 × 16 = 288 square units

Area of the inner rectangle = length × width= 6 × 4 = 24 square units

Area of the shaded region = Area of the outer rectangle - Area of the inner rectangle = 288 - 24= 264 square units

Therefore, the area of the shaded region is 264 square units.

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The volume of fuel in the tank after 6 hours is 97.5 gallons.

To find the volume of fuel in the tank after 6 hours, we need to integrate the rate of change of the volume, given by V′(t)=4t/√(t^2+33), with respect to time from the initial time of t=√7 hours to t=6 hours.

The integral of V′(t) with respect to t is V(t)= 2/3 (t^3 + 33t) + C

We know that when t = √7 hours, the volume of fuel in the tank is 9.3 gallons. So we can use that information to find the value of the constant C.

9.3 = 2/3 (√7^3 + 33√7) + C

C = 9.3 - 2/3 (7^3/2 + 337^1/2)

C = 9.3 - 2/3 (343/2 + 337^1/2)

C = 9.3 - 2/3 (343/2 + 231)

C = 9.3 - 2/3 (574)

C = 9.3 - 382 = 5.5

Now we can substitute t = 6 into the equation for V(t) to find the volume of fuel in the tank after 6 hours.

V(6) = 2/3 (6^3 + 33*6) + 5.5

V(6) = 2/3 (216 + 198) + 5.5

V(6) = 2/3 (414) + 5.5

V(6) = 276/3 + 5.5

V(6) = 92 + 5.5 = 97.5

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The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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Answer:

Wassup

Step-by-step explanation:

Answer:

b = (3V)/h

Step-by-step explanation:

You have to rearrange the equation so that it is equal to b.

V = hb/3

3(V) = (hb/3)(3)

3V = hb

(3V)/h = (hb)/h

b = (3V)/h

Answer:

Operational semantics are classified in two categories: structural operational semantics (or small-step semantics) formally describe how the individual steps of a computation take place in a computer-based system; by opposition natural semantics (or big-step semantics)

Answer: 7

Step-by-step explanation:

Since there are 42 tubes and each tray can hold 6 tubes, it will be 42/6 which is 7.

A statement that correctly compares the graph of function g with the graph of function f include the following: C. The graph of function g is a vertical compression of the graph of function f.

In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.

When the parent function \(f(x) = e^x -4\) is vertically compressed by a scale factor of 1/2, the transformed function g(x) is given by the following equation;

g(x) = kf(x)

g(x) = 1/2f(x)

\(g(x) = \frac{1}{2} e^x -4\)

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Answer:

1. 40/8 = 45/9

2. 42/14 = 15/5

3. 14/2 = 56/8

4. 8/4 = 26/13

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

From the triangle inequality we know that the sum of any two sides must be larger than the third side. We us the inequality here.

The third side must be greater than 17 and smaller than 19. So the smallest possible (and the only possible) whole-number length for c is 18

Answer:

19.2

Step-by-step explanation:

use the Pythagorean theorem a^2+b^2=c^2

why are there two of these?
Answer:

53.9

Step-by-step explanation:

89% of all houses have garages and 48% have garages and pools. We try to find houses with a pool that have a garage. Let's assume that there are 100 houses in her neighborhood. then 89 of them have garages and 48 of them have garages and pools. 48 / 89 = about 0.5393. Conver this to percent and we get 53.9

Answer:

|6| > -8

Step-by-step explanation:

The absolute value of |6| is 6. Because positives are greater than negatives, 6 is greater than -8.

Answer: greater than

Step-by-step explanation: Absolute value shows a number's distance from zero on a number line. 6's distance from 0 is still 6. 6 is greater than -8, therefore l6l>-8

Hope you could get an idea from here.

Doubt clarification - use comment section.

10 cars and 10 trains in 100 hours

it approximately take him 10 hours to build one car and one train how 6+4=10 how many times can 10 go into 100 10 times hope this helps a little

Answer:

-x

Step-by-step explanation:

3x-4x= -x

The answer is minus x

hopes it helps

Answer:

-1x

Step-by-step explanation:

3x from &4x

= -4x-3x (minus minus =plus)

= 1x

Answer:

x=1

Step-by-step explanation:

y=3x so just add 1+3=4 then add veriable y=4x

Answer:

Our Sun is a bright, hot ball of hydrogen and helium at the center of our solar system. It is 864,000 miles (1,392,000 km) in diameter, which makes it 109 times wider than Earth. It's 10,000 degrees Fahrenheit (5,500 degrees Celsius) at the surface, and 27 million degrees Fahrenheit (15,000,000 degrees Celsius) in the core.

Step-by-step explanation:

did this help

The Sun is the star at the center of the Solar System. It is a nearly perfect sphere of hot plasma, heated to incandescence by nuclear fusion reactions in its core, radiating the energy mainly as visible light and infrared radiation. It is by far the most important source of energy for life on Earth.                        maybe this will help a little

The amount of weight lost will be equal to 4.72%.

Percentage may be defined as a form of expressing a number as a fraction of hundred. To find the percentage of a number we divide the number by the total amount and then multiply the answer with hundred. The initial weight of the casting was 148 lb and the final weight is 141 lb. To find the percentage we use the formula

Percentage lost = [(Final weight - Initial weight)/Initial weight] × 100

Percentage lost = [(141 - 148)/148] × 100

Percentage lost = ( -7/148) × 100

Percentage lost = -0.0472 × 100

Percentage lost = -4.72% and since we write the absolute value therefore, Percentage lost = 4.72%.

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The surface area and volume of the larger figure are 350 yd² and 3000 yd³ respectively.

The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.

In the problem, the scale factor is 1:2 and we have the value of surface area and volume of the smaller figure. To find the surface area and volume of the larger figure, we simply need to multiply the values by two.

Surface area = 175yd²

New surface area = 175 * 2 = 350 yd²

Volume  = 1500 yd³

New volume = 1500 * 2 = 3000yd³

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Since NR is perpendicular to MQ,

Since NR intersected MQ at S, then

The four angles formed between them are right angles

Since

Then add them and equate the answer by 90

Divide both sides by 6

Since angle MSR = 90 degrees, then

Subtract 18 from each side

Divide both sides by 9

The answers are

x = 15

y = 8

Answer:

+-13, +-8, +-7 These are the possible sums of the factor pairs of 12 b is the sum of the factors used to multiply to get 12 for the C value.

Step-by-step explanation:

Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)