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natta225 [31]
3 years ago
15

Can someone help me with this?

Mathematics
1 answer:
aivan3 [116]3 years ago
7 0

Step-by-step explanation:

The formula for the volume of a sphere is V = 4/3 πr³.

So

Given

Volume (v) = 57ft³

v =  \frac{4}{3} \pi {r}^{3}

57 =  \frac{4}{3}  \times 3.14 \times  {r}^{3}

57 = \frac{12.56}{3} \times    {r}^{3}

57 = 4.19 \times  {r}^{3}

{r}^{3}  =  \frac{57}{4.19}

{r}^{3}  = 13.6

r =  \sqrt[3]{13.6}

Therefore r = 2.4 ft

I gave my answers by rounding off. so if you don't round off then it's answer is 2.3 ft

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PLEASE HELP!Which of the following statements correctly describes how to tell when a function is positive over a given interval.
denis-greek [22]

Answer: The functions values are greater than 0 over the interval.

Step-by-step explanation:

To tell if a function is positive over a given interval, see if it's below the x-axis or if it's under (since the x-axis represents 0).

  • If it's below, it's less than zero.
  • If it is above, it's greater than zero.

If the interval is above the x-axis, it's positive (greater), and if it's below, it's negative (less).

5 0
3 years ago
Solve the solution of a system of linear equation<br><br> 1/2 x + y = - 6<br> 6 x + 2 y = 8
Lilit [14]

Answer:

(4,-8)

Step-by-step explanation:

Plug in the answers for the equations.

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Answer:

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3 years ago
Handsome jack is buying a pony mad of diamonds. The price of the pony is p dollars and jack also has pay 25% diamond pony tax. H
Leona [35]

Answer:

5/4 P dollars

Step-by-step explanation:

Given that,

price of pony =  P

Tax which is to added in the total price of pony = 25% of pony price

so, now total price of pony including its tax = P + 25%P

                                                                        =  P + 25/100 P

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5 0
3 years ago
Read 2 more answers
1. What are the solutions (coordinate points) to the system of equations?
Leto [7]

Question 1

The given system of equations is:

y =  {x}^{2}  + 5x + 6 \\ y = 3x + 6

Equate the two equations:

{x}^{2}  + 5x + 6 = 3x + 6

Rewrite in standard form:

{x}^{2}  + 5x - 3x + 6 - 6 = 0

{x}^{2}   + 2x = 0

x(x + 2) = 0

x = 0 \: or \: x =  - 2

When we put x=0, in y=3x +6, we get:

y = 3(0) + 6 = 6

One solution is (0,6)

When we put x=-2, into y=3x+6, we get:

y = 3( - 2) + 6 = 0

Another solution is (-2,0)

The solutions are; (0,6) and (-2,0)

Question 2:

The function is

f(x) =  {x}^{6}  -  {x}^{4}

Let us put x=-x,

f( - x) =  {( - x)}^{6}  -  {( - x)}^{4}

This gives:

f( - x) =  {x}^{6}  -  {x}^{4}

We can observe that:

f(x) = f( - x)

This is the property of an even function.

Question 3:

The given function is

f(x) =  {x}^{2}  + 3x - 2

The average rate of change of f(x) from x=a to x=b is given as:

\frac{f(b) - f(a)}{b - a}

This is the slope of the secant line connecting the two points on f(x)

From x=2 to x=6, the average rate of change

=  \frac{f(6) - f(2)}{6 - 2} \\   =  \frac{ {6}^{2}  + 3 \times 6 -  2 -  {2}^{2}   -  3 \times 2  + 2 }{4} \\   =  \frac{36 + 18 - 4  - 6}{4}  \\  =  \frac{44}{4}   \\ = 11

The average rate of change is 11

3 0
3 years ago
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