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svetoff [14.1K]
3 years ago
15

The Martinez family is having their swimming pool filled with water by a professional company. A tanker truck can fill the pool

at a rate of 150 gallons per minute. Use paper to show your work for the questions below
Mathematics
1 answer:
Oxana [17]3 years ago
3 0

Answer:

answer: 5

Step-by-step explanation:

this is simple soo yea

you divided 150 and 30 and it will give you 5

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Use the limit definition of the derivative to find the instantaneous rate of change of
Lynna [10]

f'(4) = 43

Explanation:

Given: f(x)=5x^2 + 3x + 3

\displaystyle f'(x)= \lim_{h \to 0} \dfrac{f(x+h) - f(x)}{h}

Note that

f(x+h) = 5(x+h)^2 + 3(x+h) + 3

\:\:\;\:\:\:\:= 5(x^2 + 2hx + h^2) + 3x + 3h +3

\:\:\;\:\:\:\:= 5x^2 + 10hx + 5h^2 + 3x + 3h +3

Substituting the above equation into the expression for f'(x), we can then write f'(x) as

\displaystyle f'(x) = \lim_{h \to 0} \dfrac{10hx + 3h + 5h^2}{h}

\displaystyle\:\:\;\:\:\:\:= \lim_{h \to 0} (10x +3 +5h)

\:\:\;\:\:\:\:= 10x + 3

Therefore,

f'(4) = 10(4) + 3 = 43

8 0
3 years ago
Write an equation of a line that passes through (-2,5) and has a slope of 4​
pshichka [43]

I hope this helps

y=4x+13

3 0
3 years ago
5. answer please and thank u
Murljashka [212]

Answer:

x^3 - 2x + 4

Step-by-step explanation:

4x^2 - 2x + 6x - 10 + desiredsidelength = x^3 + 4x^2 + 2x - 6.

desiredsidelength = x^3 - 2x + 4

5 0
2 years ago
The basketball game at the high school started at 7:30 PM and ended at 10:38 PM how long did the game last?
Andrej [43]
I believe it had lasted for 3 hours and 8 minutes :)
5 0
3 years ago
One sample of n = 10 scores has a mean of M = 8, and a second sample of n = 5 scores has a mean of M = 2. If the two samples are
schepotkina [342]

Answer:

The mean for the combined sample = 6.

Step-by-step explanation:

We have been given that one sample of n = 10 scores has a mean of M = 8.

So the sum of 10 scores for 1st sample will be: 10\times 8=80

We are also told that second sample of n = 5 scores has a mean of M = 2.

So the sum of 5 scores for 2nd sample will be: 5\times 2=10

When the both samples are combined, so total points will be: 80+10=90 and total scores will be 10+5=15.

\text {Mean for the combined sample}=\frac{\text{Total points of both data sets}}{\text{Total scores of both data sets}}

\text {Mean for the combined sample}=\frac{90}{15}

\text {Mean for the combined sample}=6

Therefore, the mean for the combined sample will be 6.


6 0
3 years ago
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