suppose that f′(x)=2x for all x. a) find f(4) if f(0)=0. b) find f(4) if f(3)=5. c) find f(4) if f(−1)=3.

Data:

• 5 males

• 8 females

• Just 1 male and 1 female will be chosen.

Procedure:

• Number of ways for 1 male:

• Number of ways for 1 female:

• Number of ways to select one female and one male:

Answer: 40

Answer:

\(\sqrt{16}\sqrt{11}\)

Step-by-step explanation:

\(\sqrt{176}\implies \sqrt{16\cdot 11}\implies \sqrt{4^2\cdot 11}\implies 4\sqrt{11}\)

Answer:

i think 38/60? simplified 19/30, im not sure..?

Step-by-step explanation:

20 percent of 60 is 12

1/6 is 10

12 plus 10 is 22

60- 22 is 38

The volume of the cylindrical tank for refrigerant with an inside diameter of 14 inches and a height of 16 inches is 10,736 cubic inches.

The volume of a cylinder can be calculated using the formula:

\(\[ V = \pi r^2 h \]\)

where V represents the volume, \(\(\pi\)\) is a mathematical constant approximately equal to 3.14159, r is the radius of the cylinder (which is half the diameter), and h is the height of the cylinder.

In this case, the inside diameter of the tank is given as 14 inches, so the radius can be calculated as \(\(r = \frac{14}{2} = 7\)\) inches. The height of the tank is given as 16 inches. Substituting these values into the formula, we get:

\(\[ V = 3.14159 \times 7^2 \times 16 \approx 10,736 \text{ cubic inches} \]\)

Therefore, the volume of the cylindrical tank for refrigerant is approximately 10,736 cubic inches.

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Answer:

As we know that

\(\sf 1 \:Foot=12inches \)

\({:}\longrightarrow\)\(\sf {\dfrac {7}{12}}\:of \; 12 \)

\({:}\longrightarrow\)\(\sf {\dfrac {7}{{\cancel {12}}}}\times{\cancel { 12 }}\)

\({:}\longrightarrow\)\({\underline{\boxed{\bf 7inches}}}\)

Answer:

y=-2/5x+0

Step-by-step explanation:

y=mx+b

-2=5*-2/5+b

-2=-2+b

-2+2=0

Answer:

3.6.

Step-by-step explanation:

The square root of 3.6 is 1.8973665961.

Then, you square that, to get 1.8973665961 x 1.8973665961 = 3.6.

Hope this helps!

The scale factor of the dilation of the triangles is 2

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

The similar triangles

The scale factor of the dilation is the division of the corresponding sides

So, we have

Scale factor = 6/3

When evaluated, we have

scale factor = 2

Hence the scale factor is 2

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Answer:

19

Step-by-step explanation:

it is 19

yes

wait no its 100000000000

I big brain UwU

Answer:

Step-by-step explanation:its 21

Answer:The total cost is $41.04

Step-by-step explanation:

Answer

(24,9.5) using the midpoint formula

Answer:

(12, 9.5)

Step-by-step explanation:

The number of zeros of a polynomial is related to the highest power of the polynomial. According to the Fundamental Theorem of Algebra, a polynomial of degree n can have at most n distinct zeros. The degree of a polynomial corresponds to the highest power of the polynomial.

For example, a polynomial of degree 3 (highest power is 3) can have at most 3 distinct zeros. However, it's important to note that some zeros may be repeated or complex, so the number of distinct zeros might be less than the degree of the polynomial.

This relationship between the number of zeros and the highest power of a polynomial provides insight into the behavior and roots of polynomial functions.

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Answer:

20

Step-by-step explanation:

Answer: Area is 2250 and the peremiter is 210

Step-by-step explanation:

Answer:

Area :2250

Perimeter: 210

Step-by-step explanation:

For area just multiply the two side lengths and for perimeter just add them all together-75,75,30,30.

Answer:

3:42

Step-by-step explanation:

The area of the complex figure is 178 m². Option A

The formula for calculating the area of a rectangle is expressed as;

Area = lw

Given that;

For the bigger rectangle

Area = 16(8)

Multiply

Area = 128m²

For the smaller rectangle

Area = 6(5)

Area = 30m²

For the triangle

Area = 1/ 2× base × height

Area = 1/2 × 8 × 5

Area = 20m²

Add the areas of the three figures

Total area = 128 + 20 + 30

Total area = 178 m²

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Answer: 0.5

12/12 = 1

And you want half so it would be 0.5

0.5 + 0.5 = 1

Answer:

6/12

Step-by-step explanation:

Answer:

Make -3 a fraction

Step-by-step explanation:

3/4 x -3

3/4 x -3/1

3/4 x -12/4

-72/4 = 18

Answer:

Share of Paul = 2/8*78.40=19.6

Share of Colin = 5/8*78.40=49

And

Share of Brian =1/8*78.40=9.8

Step-by-step explanation:

They share the tips in the ratio 2:5:1.

It means , the total share is 8 ,

that 2 out of 8 is the share of Paul

5 out of 8 is the share of Colin

And 1 out of 8 is the share of Brain

Now total tip = 78.40

Share of Paul = 2/8*78.40=19.6

Share of Colin = 5/8*78.40=49

And

Share of Brian =1/8*78.40=9.8

Answer:

the answer is a y=1/2x-4

b. The statement "the probability that x falls between 10 and 20" is false.

A continuous random variable X has a uniform distribution between 5 and 15 (inclusive), meaning it can take any value between 5 and 15 with equal probability.

We need to find the probability that X falls between 10 and 20. Since the range of X is only between 5 and 15, we can only consider the range of 10 to 15 within this interval.

For a uniform distribution, the probability density function (pdf) is:

f(x) = 1 / (b - a)

where 'a' and 'b' are the lower and upper limits of the distribution, respectively. In this case, a = 5 and b = 15, so:

f(x) = 1 / (15 - 5) = 1 / 10

Now, to find the probability that X falls between 10 and 15, we can integrate the pdf over this interval:

P(10 ≤ X ≤ 15) = ∫[1/10]dx from 10 to 15

P(10 ≤ X ≤ 15) = [x/10] from 10 to 15

P(10 ≤ X ≤ 15) = (15/10) - (10/10) = 1/2

So, the probability that X falls between 10 and 20 is 1/2, not 1.0. Therefore, the statement is the probability that x falls between 10 and 20 is false.

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Answer:

it is A

Step-by-step explanation:

No matter how much you flip the equation around, the end result will be the same. I chose A because it shows exactly what I described 4+5 is the same as 5+4

The shortest possible height of the aquarium is given as follows:

18 inches.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The dimensions for this problem are given as follows:

h = w + 4, w and 49 - w.

Hence the equation for the volume is given as follows:

w(w + 4)(49 - w) = 8820

w³ - 45w² - 196w + 8820 = 0.

Inserting the equation into a cubic equation calculator, the smallest value of w is:

w = 14.

Hence the smallest height is of:

w + 4 = 18 inches.

The aquarium is given by the image presented at the end of the answer.

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Answer:

that hard

Step-by-step explanation:

Answer:

a = 3x + 6y

Step-by-step explanation:

You start by flipping the equation.

After that there is not enough information to solve for a.

Answer:

good questiion

Step-by-step explanation:

(a) is a prime ideal of R, and since v is contained in (a), we have either v = (a) or v = R. Therefore, The only ideals of R containing u are u and R itself.

To prove that if v is an ideal of r and r ⊃ v ⊃ u, then either v = r or v = u, we need to use the fact that the only ideals of r are the trivial ones (0 and r) and the maximal ones (prime ideals). Since u is not a prime ideal (since it contains multiples of 17), the only possibilities for v are u and r. To see this, suppose that v is a proper ideal of r containing u. Then there exists some non-zero element a in v that is not in u. Since a is not a multiple of 17, it must have a prime factor p that is not 17 (otherwise, it would be a multiple of 17). But then (a) is a prime ideal of r (since r is a UFD), and since v is contained in (a), we have either v = (a) or v = r. Therefore, we have shown that if v is an ideal of r and r ⊃ v ⊃ u, then either v = r or v = u. We can generalize this result to any ring R and any proper ideal u of R by using the same argument. If v is a proper ideal of R containing u, then there exists some non-zero element a in v that is not in u. But then (a) is a prime ideal of R, and since v is contained in (a), we have either v = (a) or v = R. Therefore, the only ideals of R containing u are u and R itself.

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The sample space of outcomes of the given experiment is {r3, r5, s3, s5, t3, t5}

One spinner has three same-sized sectors labeled = r, s and t

A second spinner has two same-sized sectors labeled = 3 and 5

Given that the each spinner is spun once

The sample space is defined as the set of all possible outcomes of the random experiments. Usually the sample space of the random experiment is represented by the letter S.

Here,

The sample spaces are

= {r3, r5, s3, s5, t3, t5}

The total number of outcomes = 6

Therefore, the sample space is {r3, r5, s3, s5, t3, t5}

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Answer:

d

Step-by-step explanation: