A large water tank holds 600 gallons of water. It is losing water at the rate shown in the table.

A Large Water Tank Holds 600 Gallons Of Water. It Is Losing Water At The Rate Shown In The Table.

Answers

Answer 1

Answer:

Part A - The answer is C

Part B - a.true, b.true, c.false, d.true.

Step-by-step explanation:

Part A

The slope shown on the table is -60 because the table shows that after each hour, the Gallons of Water decrease by 60.

Part B

a. The slope is -60 not -600, this was established on Part A.

b. We start off with 600 gallons of water. The equation is y = 600 - 60x. If we input 7 as x, we get 600 - 420 which is 180.

c. The initial value was 600, -60 is the slope.

d. As mentioned in b. of part B.

Answer 2

A linear function changes by a constant rate.

The slope is -60, and it represents the rate at which the amount of water changes hourly.The true statements are (b) and (d)The false statements are (a) and (c)

Two points on the table are given as:

[tex](x,y) = (0,600)\ (1,540)[/tex]

The slope (m) of the points is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{540 - 600}{1-0}[/tex]

[tex]m = \frac{- 60}{1}[/tex]

[tex]m = - 60[/tex]

So, the slope is -60, and it represents the rate at which the amount of water changes hourly.

The function of the table is represented as:

[tex]y = -60x + 600[/tex]

So:

(a) is false, because the slope is -60

(b) is true, because y = 180 when x = 7

(c) is false, because the initial value is 600

(d) is true

Read more about linear functions at:

https://brainly.com/question/15602982


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Answer:

I got 25

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Answer:

I got B. 25

Step-by-step explanation:

B is your answer

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Step-by-step explanation:

u should:

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For a dinner party, a catering company charges a set
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Answers

Answer:

$850

Step-by-step explanation:

35 x 20 = 700 + 150 = $850 or 850

$20 per person and 35 people = $700 + the $150 fee = $850

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Step-by-step explanation:

what is an equivalent expression for (6 powered by 4)to -1 powered

Answers

Answer:

1/1,296

Step-by-step explanation:

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Step-by-step explanation:

En un triangulo rectángulo, uno de los catetos mide 54 dm y su proyección sobre la hipotenusa, 32,4 dm. Calcula la medida de la hipotenusa

Answers

Answer:

63 dm (aproximadamente)

Explicación paso a paso:

Dada a medida dos dous lados do triángulo: 54 dm e 32,4 dm.

Dado que se afirma que o terceiro lado é o hipoteno, que é o lado máis longo dun triángulo rectángulo, o hipoteno (h) pódese obter así:

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h = sqrt (3965,76)

h = 62,974280

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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I have solved the second equation for x. What is the next step if solving this system with substitution?
A. -(5y+2) + y = 5

B. -x + y = 5 + 5y + 2

C. None of the Above

D. -x + 5y + 2 = 5

Answers

Answer:

A. -(5y+2) + y = 5

Step-by-step explanation:

Solving the above Equation given to us in the Question,

-x + y = 5...... Equation 1

x - 5y = 2....... Equation 2

Step 1

We make x subject of the formula in Equation 2

---> x= 5y + 2

Step 2

This would be to substitute 5y + 2 for x in Equation 1

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Hence, Option A is the correct option

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Answers

Answer:

30

Step-by-step explanation:

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same with 5 to the 2 and -z --> 10-5z

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Answer:

20z-10z

Step-by-step explanation:

Distribute the 5 to both z and 4 which would make it 20z

Distribute the 5 to the 2 and -z which gives you 10z

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Answers

Answer:

30 miles.

Step-by-step explanation:

To calculate distance traveled, you multiply the miles per hour by the number of miles. In this problem, it is 20 times 1.5 or 20 times 1 1/2. This equals 30 miles per hour.

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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[tex]\frac{7}{4}[/tex]

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[tex]Quotient\frac{Remainder}{Divisor}[/tex]

as

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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sometimes

Step-by-step explanation:

Answer:

Yes! All the time!

Step-by-step explanation:

The MagicSoft software company has a proposal to the city council of Alva, Florida, to relocate there. The proposal claims that the company will generate $3.3 million for the local economy by the $1 million in salaries that will be paid. The city council estimates that 70% of the salaries will be spent in the local community and 70% of that money will again be spent in the community, and so on. What is the correct estimate of the amount generated to the local economy?

Answers

Answer:

The correct estimate of the amount generated to the local economy is $3,333,333.[tex]\bar3[/tex]

Step-by-step explanation:

The amount the expected to be generated for the local economy = $3.3 million

The amount of salaries that will generate $3.3 million = $1 million

The percentage of the amount of the salaries and the subsequent earnings expected to be spent on the local community = 70%

Therefore, we have;

For a first amount of 1 million into the economy, the next amount to into the economy is 70/100 × 1 million = 700,000, then we have 70/100 × 700,000 and so on, which is a geometric sequence, with first term, a = $1 million, the common ratio, r = 70/100 = 0.7, the number of terms = Infinity = ∞

The sum of a geometric sequence to infinity is given as follows;

[tex]\sum\limits_{k = 0}^{\infty }a \cdot r^k = S_{\infty} = \dfrac{a}{1 - r}[/tex]

Substituting the known values gives;

[tex]\sum\limits_{k = 0}^{\infty }1,000,000 \times 0.7 ^k = \dfrac{1,000,000}{1 - 0.7}= 3,333,333.\bar 3[/tex]

Therefore, the correct estimate of the amount generated to the local economy by the $1 million salaries that will be paid = $3,333,333.[tex]\bar3[/tex].

Answer:

it A

Step-by-step explanation:

One of the Great Pyramids in Egypt has the shape of a square pyramid with the base length of 20 feet, and the height of 150 feet tall. If the stones that were used to build the pyramid had a volume of 40 cubic feet each, how many stones did the Egyptians need to build the pyramid?

Answers

Answer:

500

Step-by-step explanation:

Given that:

Shape of one of the Great Pyramids in Egypt is a square pyramid.

Base of pyramid is of square shape with length = 20 feet

Height of pyramid = 150 feet

Volume of each stone used for the construction of the pyramid = 40 cubic feet

To find:

Number of stones used for the construction of the pyramid.

Solution:

First, we need to find the volume of the square pyramid and then we need to divide the volume of pyramid with the volume of one stone used for the construction.

It will give us the number of stones used for the construction of pyramid.

Volume of a pyramid is given as:

[tex]V = \dfrac{1}{3}\times \text{Area of base}\times Height[/tex]

Here, base is a square, so area of base = [tex](Side)^2[/tex]

[tex]V = \dfrac{1}{3}\times 20^2\times 150 = 400\times 50 ft^3[/tex]

Number of stones of 40 cubic feet each, required = [tex]\frac{400\times 50}{40}[/tex] = 500

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Answers

n - 6 > 4

Add six to both sides to solve.

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I suppose the smallest integer would be 11.

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