The town swimming pool is d feet deep the width of the pool is 10 feet greater than five times it’s depth the length of the pool is 35 feet greater than five times its depth right and simplify an expression to represent the volume of the pool

Answer:1.2x+5 2.2(x+5) 3.(x+5)^2

Step-by-step explanation:

Substituting in y=15,

\(\frac{1}{5}x-\frac{2}[3}(15)=30\\\\\frac{1}{5}x-10=30\\\\\frac{1}{5}x=40\\\\x=\boxed{200}\)

Answer:

2+4+ccc

Step-by-step explanation:

By finding all the four slopes, we can see that the word is ECHA.

We know that the general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:

s = (y₂ - y₁)/(x₂ - x₁)

With that formula we can get the slopes.

1) Using the points (0, 3) and (2, 4).

m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.

2)Using (-1, -12) and (1, -8)

m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.

3) We have (2, -6) and (-4, -3) so:

m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H

4)we can use the points (0, 3) and (1, 1), so:

m = (1 - 3)/(1 - 0) = -2, so the letter is A

Then the word is ECHA

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Systematic sampling involves selecting every nth item from a list, potentially with bias and non-random results, so choose carefully.

The method used to choose the sample in this study is called "systematic sampling". This involves selecting a starting point (in this case using a random number generator) and then selecting every nth item (in this case, every 3rd person) from a list to form the sample. This type of sampling can introduce biases in the sample if the list has some pattern or structure, so it's important to be aware of these potential issues when using this method.

In systematic sampling, the selection of each member of the sample is based on a fixed and systematic rule. The advantage of this method is that it is easy to implement and cost-effective. The disadvantage is that if the list has any pattern or structure, such as alternation or clustering, the sample may not be representative of the population. It's important to carefully consider the list and choose an appropriate starting point and interval to reduce the potential for bias.

It's also worth noting that systematic sampling may not result in a random sample, as the sample members may not be independent of each other. This can have implications for the validity of inferences made from the sample to the population. Therefore, it's important to carefully consider the properties of the population and the goals of the study when choosing a sampling method.

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Answer:

0.6 - 0.43 = 0.17

Answer:

The standard deviation of the number of education majors in the sample is of 3.34.

Step-by-step explanation:

The students are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

Standard deviation:

The standard deviation of the hypergeometric distribution is:

\(\sigma = \sqrt{\frac{nk}{N}(1 - \frac{k}{N})(\frac{N-n}{N-1})}\)

In this question:

300 freshmen means that \(N = 300\)

110 are education majors, which means that \(k = 110\)

60 are chosen, which means that \(n = 60\)

Find the standard deviation of the number of education majors in the sample.

\(\sigma = \sqrt{\frac{60*110}{300}(1 - \frac{110}{300})(\frac{240}{299})} = 3.34\)

The standard deviation of the number of education majors in the sample is of 3.34.

Answer:

YOU L HAHA

Step-by-step explanation:

LOS ER

The graph of the system of inequalities:

y  ≤ (1/4)*x - 2

y  ≥ −(5/4)x +2

Is in the image at the end.

Here we have the system of inequalities:

y  ≤ (1/4)*x - 2

y  ≥ −(5/4)x +2

To graph this, we just need to graph both of the linear equations, and we need to shade the region below the first line (the one with positive slope) and the region above the second line, the one with negative slope.

Then the graph of the system of inequalities is the graph you can see in the image at the end of the answer.

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Answer: 7.6

Use a caculator for next time so you don't have to waste your points.

None of the above is the correct answer. There is no answer in the given choices.

The U.S. Rule produces no compounding of interest in that any unpaid accrued interest is accumulated separately and is not added to the principal.

At maturity, using the U.S. rule, the interest calculated from the last partial payment is subtracted from the beginning balance and added to the adjusted balance.

Under U.S. Rule, unpaid accrued interest is accumulated separately and is not added to the principal. In addition, interest is not calculated until payment is made.

It also allows the borrower to receive proper interest credits. This rule defines that any partial loan payment first covers any interest that has built up, and the remainder of the partial payment will decrease the loan principal.

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Answer:

HUH

Step-by-step explanation:

The inequality is 12b > 180 and the number of books, b, she must sell   in order to meet her goal must be more than 15 (b > 15)

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g 5 < 6, x ≥ 2, etc.

Given that:

Erin sells books for $12 each.

She wants to make more than $180 in book sales.

The number of books, b

Erin sells books for $12 each:   12 × b = 12b

More than $180 in book sales:  > $180  (i.e  greater than $180)

Thus, the inequality is:

12b > 180

Solve for b:
12b > 180

Divide both sides by 12

b > 180/12

b > 15

Therefore,  the inequality is 12b > 180 and the number of books, b, she must sell in order to meet her goal is b > 15 (greater than 15)

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Answers:

Slope = 5

Interpretation = Andre is saving 5 dollars per week

================================================

Work Shown:

The two points (0,40) and (4,60) are on the line

Use the slope formula

m = (y2-y1)/(x2-x1)

m = (60-40)/(4-0)

m = 20/4

m = 5

The slope is 5.

In this context, it means each time the number of weeks goes up by 1, the amount of his savings goes up by 5. In short, he's saving $5 per week.

note: the y intercept tells us that Andre started off with $40 in his account.

The slope is 5 in  slope-intercept form.

What is in slope-intercept form?

the y intercept tells us that Andre started off with $40 in his account.

Slope = 5

The two points (0,40) and (8,80) are on the line

Use the slope formula

Take any two points

m = (y2-y1)/(x2-x1)

= 80-40/8-0

= 40/8

=5

The slope is 5.

In this context, it means each time the number of weeks goes up by 1, the amount of his savings goes up by 5. In short, he's saving $5 per week.

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Answer:

No

Step-by-step explanation:

<JAC = 93

< DBE = 90

The two angles are not equal

Answer:

c.9.5

Step-by-step explanation:

im awesome so so very

Answer:

49.8 nautical miles

Step-by-step explanation:

Recall that speed = distance/time

Time = 2hours

Speed = 12knots and 16 knots respectively

D = speed×time

D1 = 12×2 = 24

D2 = 16×2 = 32

Using the 'cosine rule' we have:

a^2 = b^2+c^2-2bc cos Θ

Where a =?

b =24

c = 32

Θ = 125°

a² = 24² + 32² - 2(24)(32)cos125°

a^2 = 576+1024 - 1536cos125°

a² = 1600 - 1536(-0.57357)

a² = 1600+881.0134

a² = 2481.0134

Then, a² = 2481.013406

a =√2481.013406

Hence, a = 49.8 nautical miles

In this exercise we must use the knowledge about triangles to calculate the distance that a ship will travel, in this way we find that:

49.8 nautical miles

First, remember the formula for distance, which is:

\(Speed = distance/time\)

And knowing that the data reported in the exercise are:

So putting the values ​​informed in the distance formula, we have:

\(D = speed*time\\D_1 = 12*2 = 24\\D_2 = 16*2 = 32\)

Using the 'cosine rule' we have:

\(a^2 = b^2+c^2-2bc cos \theta\)

Find the a, will have:

\(b =24 \ \ \ c = 32 \ \ \ \theta = 125\\a^2 = 24^2 + 32^2 - 2(24)(32)cos125\\a^2 = 576+1024 - 1536cos125\\a^2 = 1600 - 1536(-0.57357)\\a^2 = 1600+881.0134\\a^2 = 2481.0134\\a=49.8\)

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Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer:

The correct answer is 10n ≥ 470.

Step-by-step explanation:

Since, the school club wants to collect at least 500 canned goods, then we know that they don't want to collect any less: they must collet 500 or more canned goods.

They already collected 30 canned goods, therefore we can subtract this quantity from out goal.

500 - 30 = 470

Since there are 10 club members, the number of members multiplied by "n" the minimum amount of canned goods that they can collect, will equal the total amount of canned goods that they need.

Answer:

the answer is letter A. 6.5

Step-by-step explanation:

it's correct if I'm rwong ( ╹▽╹ )

Answer: I asked my teacher, she said it is c

Step-by-step explanation:

Answer:

yes it's c

have a great day

Answer:

4000ml devide by 5ml.it is equal to 800 contaner

the astronaut would weigh 1 pound above the Earth.

Given that;

Gravitational force = Gm/r^2

M1 = 196 pounds

M2 = unknown

R1 = 4000 miles

R2 = 300 miles

We can deduce that;

\(\frac{m1}{r^21} = \frac{m2}{r^22}\)

Let's substitute the values

\(\frac{196}{4000^2} = \frac{x}{300^2}\)

\(\frac{196}{1.6 *10^7} = \frac{x}{9 *10^4}\)

Cross multiply

196 × 9 ×10^4 = x × 1.6 ×10^7

1.76 × 10^7 = x × 1.6 ×10^7

Make 'x' the subject of formula

x = \(\frac{1.76* 10^7}{1.6*10^7}\)

x = 1.1

x = 1 pound

Thus, the astronaut would weigh 1 pound above the Earth.

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Answer:

Lee drank 31/15 qt. of water (2 1/15 qt. as a mixed number, or approximately 20.07 qt. as a decimal).

Step-by-step explanation:

To add and subtract fractions, a least common denominator needs to be found. But first, to make it easier, mixed numbers should be replaced with improper fractions. So, Lee drank 5/3 qt. of water.

Now to find the LCD (least common denominator), the denominators of each fraction should be multiplied by 1, then 2, then 3, etc until a product of one fraction is the same as that of another (as shown):

For 2/5, the denominator is 5, so 5*1 = 5, 5*2 = 10, 5*3 = 15...

For 5/3, the denominator is 3, so 3*1 = 3, 3*2 = 6, 3*3 = 9, 3*3 = 4, 3*5 = 15...

15 is the LCD, since both denominators can be multiplied by a whole number for a product of 15.

Now, each fraction is multiplied by 1, by multiplying each fractions numerators and denominators by the number found previously that causes the denominator to equal 15:

For 2/5, 5*3 = 15, so both 2 and 5 are multiplied by 3

        2* 3 = 6, 5 * 3 = 15, so 2/5 = 6/15

For 5/3, 3*5 = 15, so both 5 and 3 are multiplied by 5

        5* 5 = 25, 3 * 5 = 15, so 5/3 = 25/15

Now these fractions can easily be added or subtracted by performing these operations on their numerators. Sonia drank 6/15 qt. more than Lee, so she drank 6/15 + 25/15 qt. of water, or 31/15 qt.

Step-by-step explanation:

Answer:

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

First determine the interest and then use the formula for ordinary interest.

Calculate the interest:

Use the ordinary interest formula:

Plug in the values and solve for Time:

Isolate the Time variable:

Tara would have to pay back the loan in approximately 120 days.

The first debt that Alice would have to pay based on the Stack method would be the third debt. Option C

From the stack method, the debt that Alice would have to pay off first would be the debt that has the highest interest rate.

The amount of 150 dollars would then be added to the debt that has the second highest rate.

Hence the amount of debt that would be paid off first would be the first debt based on the stack method.

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Answer:

C

Step-by-step explanation:

Since C is the largest half, then C is part of the largest whole.

Answer: C