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AfilCa [17]
3 years ago
13

Mr. Phan fills a portion of his pool with water on Monday. Then on Tuesday, he fills the pool with water coming from a hose at a

constant rate. The table shows the number of feet of water in the pool as a function of time on Tuesday. What is the rate of change of the function? Explain your reasoning. Time on Tues. Amount of Water after 9 am (hr) in Pool (ft) 0 11 1 17 2 23 Rate of Change 1 2 3 4 5 6 N​
Mathematics
1 answer:
Roman55 [17]3 years ago
3 0

Answer: .6 ft. every hour

Step-by-step explanation: when you add the amount of feet added each hour you get .6 ft.

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If 6 pipes fill a tank in 120 minutes, then 5 pipes can fill it in how many minutes​
Marianna [84]

Answer:

<u>It'll</u><u> </u><u>take</u><u> </u><u>1</u><u>4</u><u>4</u><u> </u><u>minutes</u><u> </u><u>for</u><u> </u><u>5</u><u> </u><u>pipes</u><u>.</u>

Step-by-step explanation:

{ \sf{6 \: pipes = 120 \: mins}} \\ { \sf{5 \: pipes = ( \frac{6}{5}  \times 120) \: mins}} \\  \\  = { \sf{144 \: mins}}

but practically, it seems to be abnormal. if 6 pipes take 120 mins, 5 pipes must takes a time greater than 120 mins cause amount of water flowing to the tank is decreasing.

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5 0
3 years ago
Read 2 more answers
Suppose 4-year-olds in a certain country average 3 hours a day unsupervised and that most of the unsupervised children live in r
natta225 [31]

Answer:

D)the time (in hours) a 4-year-old spends unsupervised per day

Step-by-step explanation:

Given that 4-year-olds in a certain country average 3 hours a day unsupervised and that most of the unsupervised children live in rural areas, considered safe

X - the time (in hours) a 4-year-old spends unsupervised per day

X is N(3,1.8)

P(X

4 0
3 years ago
a 15-foot telephone pole has a wire that extends from the top of the pole to the ground. The wire and the ground form a 42 degre
scoundrel [369]

Answer:

The length of the wire is 22.42 feet

The distance from the base of the pole to the spot where the wire touches the ground is 16.66 feet

Step-by-step explanation:

* Lets explain the situation in the problem

- The telephone pole , the wire and the ground formed a right triangle

- The wire is the hypotenuse of the triangle

- The height of the telephone pole and the distance from the base of

 the pole to the spot where the wire touches the ground are the legs

 of the triangle

- The angle between the wire and the ground is 42°

- The angle 42° is opposite to the height of the telephone pole

- The height of the telephone pole is 15 feet

* Lets use the trigonometry functions to find the length of the wire

 (hypotenuse) and the distance from the base of the pole to the spot

 where the wire touches the ground

∵ sin Ф = opposite/hypotenuse

∵ Ф = 42° and its opposite side = 15 feet

∴ sin 42 = 15/hypotenuse ⇒ by using cross multiplication

∴ sin 42° (hypotenuse) = 15 ⇒ divide both sides by sin 42

∴ hypotenuse = 15/sin 42° = 22.42 feet

∵ The length of the wire is the hypotenuse

∴ The length of the wire is 22.42 feet

∵ The distance from the base of the pole to the spot where the wire

   touches the ground is the adjacent side to the angle 42°

∵ tan Ф = opposite/adjacent

∴ tan 42° = 15/adjacent ⇒ by using cross multiplication

∴ tan 42° (adjacent) = 15 ⇒ divide both sides by sin 42

∴ adjacent = 15/tan 42° = 16.66 feet

∵ The adjacent side is the distance from the base of the pole to the

  spot where the wire touches the ground

∴ The distance from the base of the pole to the spot where the wire

   touches the ground is 16.66 feet

7 0
4 years ago
A ramp is extended from a truck to the ground, and has a slope of 7/16. If y is 3.5, what is x, in feet?
babunello [35]
In getting the x, you must first convert the said data in to a slope intercept form and the formula for it is y = mx+b so the slope is 7/16 while the y is 3.5. In that data its self you can came up with the equation of 3.5 = 7/16x + 0 and the value of X would be 8. I hope you are satisfied with my answer 
7 0
4 years ago
Karita had $138.72 in her checking account. She wrote checks for $45.23 and $18.00. Then she made a deposit of $75.85 into her a
svetlana [45]

Answer:

The best estimate for the money in Karita's account now is $151.

Step-by-step explanation:

Given:

Karita had $138.72 in her checking account.

She wrote checks for $45.23 and $18.00.

Then she made a deposit of $75.85 into her account.

Now, to find the best estimate for the money in Karita's account now.

<em>Initial account = $138.72.</em>

<em>Deducted amount = $45.23+$18.00=$63.23.</em>

So, the amount after deduction:

$138.72 - $63.23 = $75.49.

Now, the amount after deposit:

$75.49 + $75.85 = $151.34.

Therefore, the best estimate for the money in Karita's account now is $151.

6 0
3 years ago
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