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2 years ago

Find the volume of the sphere. Leave your answers In terms of pi

Mathematics

1 answer:

KonstantinChe [14]2 years ago

8 0

Answer:

volume of the sphere

$\frac{4}{3} \times \pi \times {r}^{3} \\ \frac{4}{3} \: \times \pi \times 1000 \\ 1333.333333333\pi {in}^{3}$

answer is option C

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Type the expression that results from the following series of steps: start with x, divide 6, then subtract 1

Alexus [3.1K]

Answer:

x/6 - 1

Step-by-step explanation:

x divide 6 subtract 1

4 0

2 years ago

50 POINTS!! Pleasee helppppp!!! A scientific journal recently reported that there are currently 2400 black rhinos in the world t

Harman [31]

Answer:

Step-by-step explanation:

So, we started out with 2,400 black rhinos.

And we know that they are declining at a rate of 10% per year.

In other words, each subsequent year will only have 90% of the previous year's rhinos.

Therefore, our function is:

$f(x)=2400(.9)^x$

We can do some elimination first.

First, the starting point or y-intercept must be 2400 since that's the number of rhinos we started out with.

Therefore, we can eliminate A and D.

From the remaining choices B or C, we can technically also eliminate B. This is because from our function, we know it's exponential decay, and exponential decay is not a straight line.

However, to double check, let's check the population after 10 years using our function. So:

$f(10)=2400(.9)^{10}$

Use a calculator:

$f(10)\approx837$

So, after 10 years, the population should be around 840.

B is definitely not 840 (at x=10). However, C is right around it.

Therefore, we can conclude that C is the right answer.

And we're done!

6 0

3 years ago

Please help

larisa [96]

Step-by-step explanation:

1/3,0,9

9,3,27

1/9,3,27

3 0

3 years ago

Which is an equation of the line perpendicular to y = -3/4x + 1 and passes through (3, 4)?

topjm [15]

Answer:

Step-by-step explanation:

perp. 4/3

y - 4 = 4/3(x - 3)

y - 4 = 4/3x - 4

y = 4/3x

5 0

3 years ago

Choose the equation that represents the graph below: (1 point) Graph of a line passing through points 0 comma 6 and 9 comma 0 y

aleksklad [387]

Answer:

Option C is correct.

Equation of a line $y=\frac{-2}{3}x+6$ passing through (0,6) and (9,0).

Explanation:

Given the two points (0, 6) and (9 ,0).

To find the equation for the given two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is,

$y-y_{1}=m(x-x_{1})$ ; where m is the slope and is given by:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

First find the slope m:

$m=\frac{0-6}{9-0} =\frac{-6}{9} =\frac{-2}{3}$

Substitute this value in equation of line:

$y-6=\frac{-2}{3} (x-0)$ or

$y-6=\frac{-2}{3} x$

⇒ $y=\frac{-2}{3}x+6$

Therefore, the equation for the given point is: $y=\frac{-2}{3}x+6$

7 0

3 years ago