A swimming pool measures 30 ft by 25 ft and is 6 feet deep.
a) How much fencing is needed if the fence is to be 7 ft from each side of the
pool?
______________________
b) How much material is needed to make a cover for the pool. (the pool only)
_______________________
c) How many cubic feet of water are needed to fill the pool?

Answer:

The answer is D

This is given by the limit

[tex]\displaystyle \lim_{x\to1} \frac{f(x) - f(1)}{x - 1} = \lim_{x\to1} \frac{(2x^2 - 5x+1) - (-2)}{x - 1} = \lim_{x\to1} \frac{2x^2 - 5x + 3}{x - 1}[/tex]

Observe that [tex]2x^2-5x+3=0[/tex] when [tex]x=1[/tex], and factorizing gives

[tex]2x^2 - 5x + 3 = (x - 1) (2x - 3)[/tex]

so that

[tex]\displaystyle \lim_{x\to1} \frac{f(x) - f(1)}{x - 1} = \lim_{x\to1} (2x-3) = 2\cdot1 - 3 = \boxed{-1}[/tex]

(A)

Answer:

Elizabeth has 403 toys.

Step-by-step explanation:

The main goal is to figure out how many toys Elizabeth has. So she has 4 boxes and each box has 100 toys. If she has 4 boxes of 100 it mean she have 400 toys but that's not the final answer. she also has 3 toys not in the boxes so we have to add that as well. So if we add 3 toys to the 400 toys we'd get a total of 403. Therefore Elizabeth has 403 toys and that would be our final answer.

I hope this helps, have a blessed day! :D

Answer:

3:2

Step-by-step explanation:

Divide 15 and 10 by 5.

Answer:

12

Step-by-step explanation:

There are 4 entrances and 3 exits, and thus 4(3)=12.

Answer:

X= 2/3

Step-by-step explanation:

-2(x+1/3)+9x=4

Distribute: -2x-2/3+9x=4

Combine: 7x=14/3 ----- 4/1+2/3=12/3+2/3=14/3

Clear the fraction: 21x=14 ------- 7·3x=14/3·3/1

Divide: X=2/3 ------ 14/21÷ 7/7=2/3

X=2/3           Hope This Helps :)

Answer:

[tex] \sf \large \: x = \frac{2}{3} [/tex]

Step-by-step explanation:

−2(x+1/3)+9x=4

Step 1: Simplify both sides of the equation.

−2(x+1/3)+9x=4

(−2)(x)+(−2)(1/3)+9x=4(Distribute)

−2x+−2/3+9x=4

(−2x+9x)+(−2/3)=4(Combine Like Terms)

7x+−2/3=4

7x+−2/3=4

Step 2: Add 2/3 to both sides.

7x+−2/3+2/3=4+2/3

7x=14/3

Step 3: Divide both sides by 7.

7x/7 = 14/3/7

x=2/3

Answer:

∠C = 180 - 3α

Step-by-step explanation:

The interior angles of a triangle always add up to 180°

So A + B + C = 180

C = 180 - (A + B)

= 180 - (α + 2α)

= 180 - 3α

Answer:

odd

Step-by-step explanation:

the answer is odd, my dead grandma just finished this question since she failed 7th grade.

Answer:

1885.714

Step-by-step explanation:

I = ptr

5280 = 7×0.4×p

p = 5280/2.8

p = 1885.7

The slope of the line AC is equal to the slope of the line CE.

We have the points:

A = ( - 3 , 6 )

C = ( - 1 , 3 )

Slope of AC will be:

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope of AC = m₁ = ( 3 - 6 ) / ( - 1 + 3 )

m₁ = - 3 / 2

m₁ = - 1.5

Now,

C = ( - 1 , 3 )

E = (3 , - 3)

Slope of AC = m₂ = ( - 3 - 3 ) / ( 3 + 1 )

m₂ = - 6 / 4

m₂ = - 3 / 2

m₂ = - 1.5

So, we get that:

m₁ = m₂  

Therefore, we get that, the slope of the line AC is equal to the slope of the line CE.

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Answer:

Step-by-step explanation:

The absolute value of -3 is 3.

Answer: 3

Step-by-step explanation:

In the given case, we can conclude Mr. Arcos needs to buy 10 sets of plates for his restaurant.

To find out how many sets of plates Mr. Arcos needs to buy, we first need to determine the total number of people his restaurant can accommodate.

There are 8 tables with places for 4 people each, so these tables can seat a total of 8 x 4 = 32 people.
Additionally, there are 4 tables with places for 6 people each, which can seat a total of 4 x 6 = 24 people.

Therefore, the restaurant can accommodate a total of 32 + 24 = 56 people.

Since the plates come in sets of 6, we divide the total number of people (56) by the number of people served by each set (6) to find out how many sets of plates Mr. Arcos needs to buy: 56 / 6 = 9.33 sets. Since plates cannot be bought in fractions, he will need to round up to the nearest whole number. Therefore, he will need to buy at least 10 sets of plates for his restaurant.

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Answer:

1/2

Step-by-step explanation: because it is shaded or not

Answer:wow we have the same homework

Step-by-step explanation:

The value of P'(t) will be , P'(t) = -10t + 75 and value of P'(7) will be equal to 5 and rate of change of price will be $5 thousands per year in dollars.

It is given that median home price is represented by P(t) = -5t² + 75t - 30.

We have to find out the values of P'(t) and P'(7).

What is differentiation ?

Differentiation is a method in which the function's rate of change compared to the rate of change of the independent variable is calculated.

As per the question ;

The equation given is ;

P(t) = -5t² + 75t - 30

So ;

Differentiating the above equation with respect to t , we get ;

[tex]\frac{d}{dt}[/tex] (P(t)) = [tex]\frac{d}{dt}[/tex] ( -5t² + 75t - 30 )

[tex]\frac{d}{dt}[/tex] (P(t)) = P'(t) = -5 × 2 × t + 75

⇒ P'(t) = -10t + 75

And

The value of P'(7) will be ;

P'( t = 7) = -10 × 7 + 75

P'(7) = - 70 + 75

P'(7) = 5

Also ;

P(11) = 190

P(3) = 150

And

The rate of change of price will be ;

[tex]\frac{P(11) - P(3)}{11 - 3}[/tex]

= 190 - 150 / 8

= 40 / 8

= 5

Thus , the value of P'(t) will be , P'(t) = -10t + 75 and value of P'(7) will be equal to 5 and rate of change of price will be $5 thousands per year in dollars.

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Answer: 4289

Step-by-step explanation:

Total = 2400+(2400-511) = 4289

Answer:

0.06

Step-by-step explanation:

0x x it expand almost done ✅✅✅

From the graph of the function y = x - 1, it is found that f(1) = 0.

This problem is incomplete, but researching it on a search engine, it gives us the graph of the function y = x - 1.

To find the numeric value of a function at x = a, we have to check the value of the horizontal axis when the vertical axis is of a.

For this problem, we want the numeric value at x = 1, hence, when the horizontal axis is of 1, the vertical axis is of 0, hence f(1) = 0.

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Answer:

B.

Step-by-step explanation:

Vegans by definition do not eat any products containing the meat of an animal. Therefore if Mindy truly follows a vegan diet, she would not eat steak.

Answer:People who follow a vegan diet do not eat steak. Mindy follows a vegan diet. Therefore, Mindy does not eat steak.

Step-by-step explanation:

Because deductive reasoning is when you make an inference about something. In option 2 they are making an inference that if Mindy does not eat steak she is a vegetarian. They have come to that conclusion by inferring she is a vegetarian because she does not eat steak.

Answer:

You only show one answer A. Lucky for you it's the correct one.

Step-by-step explanation:

Answer:

No.1 is 89 No.2 is 11 No.3 is 60 and the last one is 29

Answer:

x=0

Step-by-step explanation:

Answer: 14/24 or 7/12

Step-by-step explanation: keep on dividing 2 or just divide by 4

Answer:

A

Step-by-step explanation:

1 Factor out the common term ss.

\frac{s(25{s}^{2}+12)}{5s}

5s

s(25s

2

+12)

​

2 Cancel s.

\frac{25{s}^{2}+12}{5}

5

25s

2

+12

​

Answer: g=14

Step-by-step explanation:

5(g + 8) - 7 = 117 - g

5g+40-7=117-g

5g+33=117-g

6g+33=117

6g=84

g=14

[tex]5(g + 8) - 7 = 117 - g[/tex]

[tex]5g + 5 \cdot 8 -7 = 117 -g\\[/tex]

[tex]5g + 40 -7 = 117 -g[/tex]

[tex]6g = 117 - 40 + 7[/tex]

[tex]6g = 84[/tex]

[tex]g = 94 : 6[/tex]

[tex]g = 14[/tex]