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Hunter-Best [27]
2 years ago
7

mr. salmon is getting pool ready for summer. The pool liner had some holes in it, so he decides to replace it. In order to repla

ce the liner, the water must be drained from the pool. The pool holds 25,000 gallons of water, and it takes 8 hours to drain 80% of the water. the answer is 2 hours. Why is that the answer
Mathematics
1 answer:
Ira Lisetskai [31]2 years ago
3 0

Answer:

Because 8 hours to drain 80% would mean it takes 10 hours to completely drain the pool leaving the 2 hours to drain.

Step-by-step explanation:

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The price of a cup coffee was 2.40 yesterday. Today, the price fell to 2.15 find the percentage decrease. Round the answer to th
irakobra [83]
ANSWER

The percentage decrease is 10.4%.

EXPLANATION

To calculate percentage decrease, use the formula,

Percentage decrease

= \frac{new \: price - old \: price}{old \: price} \times 100\%

Yesterday the price of coffee was 2.40. This is the old price.

Today the price is 2.15. This is the new price.

= \frac{2.15 - 2.40}{2.40} \times 100\%

= \frac{ - 0.25}{2.40} \times 100\%

= - 0. 10416667 \times 100\%

= - 10.416667\%

To the nearest tenth, we have:

- 10.4\%

Therefore the percentage decrease is 10.4%.
8 0
3 years ago
Which is equivalent sin^-1 (cos(pi/2))?Give your answer in radians
NNADVOKAT [17]

Answer:

Given the expression: \sin^{-1}(\cos(\frac{\pi}{2}))

Let the value of the given expression in radians be \theta

then;

\sin^{-1}(\cos(\frac{\pi}{2})) =\theta

\cos \frac{\pi}{2} = \sin \theta              ......[1]

We know the value of \cos \frac{\pi}{2} = 0

Substitute the given value in [1] we have;

\sin \theta = 0

Since, the value of \sin \theta is 0, therefore, the value of \theta is in the form of:

\theta = n\pi ; where n is the integer.

At n =0, 1 and 2, {Since, n is the integer}

Value of  \theta =0, \pi and 2\pi

therefore, the answer in radians either   0 , \pi or 2\pi


6 0
3 years ago
Read 2 more answers
Please explain to me to have a better understsning. . .​
dem82 [27]

For the first one:

m is the slope, or how much the line goes up compared to goes right.  In this case, the line goes up 40 every time it goes right 10.  We write this as a fraction so 40/10, which simplifies to 4.  Therefore the equation would be y = 4x.

7 0
3 years ago
A quantity with an initial value of 600 decays exponentially at a rate of
Snowcat [4.5K]

Answer:

The value of the quantity after 87 months will be of 599.64.

Step-by-step explanation:

A quantity with an initial value of 600 decays exponentially at a rate of 0.05% every 6 years.

This means that the quantity, after t periods of 6 years, is given by:

Q(t) = 600(1 - 0.0005)^{t}

What is the value of the quantity after 87 months, to the nearest hundredth?

6 years = 6*12 = 72 months

So 87 months is 87/72 = 1.2083 periods of 6 years. So we have to find Q(1.2083).

Q(t) = 600(1 - 0.0005)^{t}

Q(1.2083) = 600(1 - 0.0005)^{1.2083} = 599.64

The value of the quantity after 87 months will be of 599.64.

8 0
3 years ago
What is the rate of change of the function y = − 1/4 x + 1
scoray [572]

Answer:

-1/4

Step-by-step explanation:

Hello!

The rate of change is also known as the slope.

Standard equation of a line: y = mx + b

  • y: output
  • m:  slope
  • x: input
  • b: y-intercept

So, if we match the standard form to the given function:

  • y = mx + b
  • y = -1/4x + 1

-1/4 is m, or the rate of change.

8 0
2 years ago
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