Two containers designed to hold water are side by side, both in the shape of a

Mathematics

1 answer:

Tresset [83]3 years ago

4 0

Answer:

1413.7 ft^3

Step-by-step explanation:

The volume of a cylinder is given by ...

V = πr^2·h

After emptying part of container A into container B, the empty space in container A will be exactly the volume of container B:

V = π(5 ft)^2·(18 ft) ≈ 1413.7 ft^3

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WILL GIVE BRAINLIEST

IrinaVladis [17]

Answer:

y=1/2x-2

Step-by-step explanation:

perpendicular lines have a neg. reciprocal for the slope.

for example:

in this equation y=-2x+1

-2 is the slope and the negative reciprocal would be 1/2

hence, the slop of our new line is 1/2

y=1/2x+b

we can substitute the coordinates given for x and y:

2=1/2(8)+b

2=4+b

-2=b

hence the new equation is y=1/2x-2

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3 years ago

Find the derivative of f(x) = 9x + 5 at x = 7.

Sergeeva-Olga [200]

The derivative of a variable raised to exponent of n, x^n is equal to the product of n and x raised to exponent of n-1.
d(x^n) = (n)(x^n-1)
So, from the given
d(9x + 5) = (1)(9x^1-0) + 5(0)
= 9
The given value of x is irrelevant to this item because the derivative does not contain any variable x.

8 0

4 years ago

Read 2 more answers

future value of 10% savings from earnings of 36000 earns 6.25% annual interest compounded quarterly for 15 years

hoa [83]

without further ado

10% of 36000 is simply 3600, we chopped a "0" off of it hmmm, ok so

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3600\\ r=rate\to 6.25\%\to \frac{6.25}{100}\dotfill &0.0625\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &15 \end{cases} \\\\\\ A=3600\left(1+\frac{0.0625}{4}\right)^{4\cdot 15}\implies A=3600(1.015625)^{60}\implies A\approx 9126.53$