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Artyom0805 [142]
2 years ago
14

The Silver Lake Reservoir in California is being drained to make way for an underwater pipeline. The reservoir holds 400400400 m

illion gallons of water, and it is estimated that the drainage will take at least 252525 days. If the water is drained at a constant rate, what is the maximum rate of drainage, in millions of gallons per day?
Mathematics
1 answer:
MArishka [77]2 years ago
3 0

Divide the total the lake holds by the number of days:

400 million / 25 days = 16 million gallons per day.

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balandron [24]
2.51904762  is the answer 
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The following data show the midterm and final exam scores in an English writing class. Student 1 2 3 4 5 6 7 8 9 10 11 12 Midter
tester [92]

Answer:

The co variance of the midterm and final exam scores is 58.76.

Step-by-step explanation:

The formula to compute the sample co variance is:

Cov(x,y)=\frac{\sum(X-Mean\ of\ X)(Y-Mean\ of\ Y)}{n-1}

The values are computed in the table below.

Compute the co variance as follows:

Cov(x,y)=\frac{\sum(X-Mean\ of\ X)(Y-Mean\ of\ Y)}{n-1}\\=\frac{646.33}{12-1}\\ =58.76

Thus, the co variance of the midterm and final exam scores is 58.76.

7 0
2 years ago
The table below shows the ticket rates for whale watching trips offered by Ocean Tours. Age Ticket Price Under three years free
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If there are 40 children aged twelve and under and x of them are under three years old, 40 - x aged three twelve years old. From the 92 people that where taken by the company on whale watching trips, 52 are over twelve years old. The equation that best show the total cost, C is
                                (40 - x)(36) + (52)(48) = C
Rearranging the equation gives,
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4 0
2 years ago
The value of a rare painting has increased each year since it was found at a garage sale. The value of the painting is modeled b
solmaris [256]

799 represents the initial value of the painting

The painting will be worth $926 after 5 years to the nearest dollar

Step-by-step explanation:

The form of the exponential function is f(x)=a(b)^{x} , where

  • a is the initial value ⇒ (at x = 0)
  • b is the growth/decay factor ⇒ (rate of change)
  • If b > 1, then the function is growth ⇒ (increasing)
  • If 0 < b < 1, then the function is decay ⇒ (decreasing)

The value of a rare painting has increased each year since it was

found at a garage sale

The value of the painting is modeled by the function f(x)=799(1.03)^{x}

We need to know what 799 represents and what the painting will

be worth after 5 years

∵ f(x)=799(1.03)^{x}

∵ The form of the function is f(x)=a(b)^{x}

- By comparing the two forms

∴ a = 799 and b = 1.03

∵ a is the initial value at x = 0

∴ 799 represents the initial value of the painting

∵ x represents the number of years

∴ x = 5

- Substitute the value of x in the function by 5

∵ f(5)=799(1.03)^{5}

∴ f(x) = 926.26

∴ The painting will be worth $926 after 5 years to the nearest dollar

799 represents the initial value of the painting

The painting will be worth $926 after 5 years to the nearest dollar

Learn more:

You can learn more about the functions in brainly.com/question/10382470

#LearnwithBrainly

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A right triangle has legs of length 4x and 20x. What is an expression for the hypotenuse of the right triangle
kherson [118]

Answer:

4x\sqrt{26}.

Step-by-step explanation:

Given information:

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According to the Pythagoras theorem,

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Using Pythagoras theorem, we get

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(hypotenuse)^2=416x^2

Taking square root on both sides.

hypotenuse=\sqrt{416x^2}

hypotenuse=4x\sqrt{26}

Hence, the expression of the hypotenuse is 4x\sqrt{26}.

5 0
2 years ago
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