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Wittaler [7]
2 years ago
13

Diameter of a sphere with the volume of 972πft^3

Mathematics
1 answer:
pogonyaev2 years ago
6 0
\bf \textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}~~
\begin{cases}
r=radius\\
-----\\
V=972\pi 
\end{cases}\implies 972\pi =\cfrac{4\pi r^3}{3}\implies \cfrac{3\cdot 972\pi }{4\pi }=r^3
\\\\\\
729=r^3\implies \sqrt[3]{729}=r\implies \boxed{9=r}

now, recall that a diameter is twice as long as the radius, so the diameter is 2r.
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9a - 3 (a - 6) = -6 a=___
leonid [27]
9a - 3(a - 6) = -6...distribute thru the parenthesis
9a - 3a + 18 = -6....subtract 18 from both sides
9a - 3a = -6 - 18 ...combine like terms
6a = - 24...divide both sides by 6
a = -24/6
a = - 4
7 0
2 years ago
An investment grows according to the exponential equation y = 15,000 · 1.07x, where x is the number of years invested. Which of
Nikolay [14]
The option c is the answer because
2p=p (1.07)^x
2=1.07^x
Solve for x
X=log(2)÷log(1.07)
x=10 years the amount will be doubled after 10 years
But your option says the investment will (more) than double with (12) years
So it's correct
5 0
3 years ago
Solve the inequality. 22−2x<38 Which answer represents the solution set?
algol [13]

Answer:

x >-8

Step-by-step explanation:

22−2x<38

Subtract 22 from each side

22-22−2x<38-22

-2x < 16

Divide each side by -2, remembering to flip the inequality

-2x/-2 > 16/-2

x >-8

3 0
3 years ago
The pipe fitting industry had 546.5 thousand jobs in 2015 and is expected to decline at an average rate of 3 thousand jobs per y
lesya692 [45]

Answer:

The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.

Step-by-step explanation:

Due to the assumption of a yearly average rate, a linear function model shall be used. The expected amount of jobs (n) after a certain amount of years (t) is given by the following formula:

n = n_{o} + \frac{\Delta n}{\Delta t}\cdot t

Where:

n_{o} - Initial amount of jobs in pipe fitting industry, measured in thousands.

\frac{\Delta n}{\Delta t} - Average yearly rate, measured in thousands per year. (A decline is indicated by a negative sign)

If n_{o} = 546.5, t = 2025-2015 = 10\,years and \frac{\Delta n}{\Delta t} = -3\,\frac{1}{years}, then:

n = 546.5+\left(-3\,\frac{1}{year}\right)\cdot (10\,years)

n = 516.5

The percent change in jobs from pipe fitting industry is calculated as follows:

\%n = \left(1-\frac{n}{n_{o}}\right)\times 100\,\%

\% n = \left(1-\frac{516.5}{546.5}\right)\times 100\,\%

\%n = 5.5\,\%

The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.

4 0
3 years ago
20 yards for $30.00
sertanlavr [38]
A) $55.00
65 yards for $85.00 subtract
20 yards for $30.00
85-30=55
4 0
3 years ago
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