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Leona [35]
3 years ago
15

Joey has a beach ball with a radius of 20 cm what's the volume of air will it hold when fully infflated

Mathematics
1 answer:
zysi [14]3 years ago
3 0

volume of sphere = V=(4/3)(pi)r^3

 so V = (4/3) x 3.14 x 20^3 = 33,493.33 cubic cm

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Plz help me with this
Sergio [31]

9514 1404 393

Answer:

  d)  -4 ≤ x ≤ 1.5

Step-by-step explanation:

The domain is the horizontal extent of the graph. Here, it goes from about x=-4 to about x = 1.5.

There are solid dots on both ends of the line segment, so the inequality will use ≤ for both limits. The domain is ...

  -4 ≤ x ≤ 1.5

6 0
3 years ago
PLEASE HELP! IF YOU DON'T KNOW DON'T ANSWER! 60 POINTS!!
postnew [5]

Answer:

an = 1/2 (4)^ (n-1)

a6 = 512

Step-by-step explanation:

The formula for a geometric sequence is

an = a1 (r)^(n-1)

where an is the term of the sequence

a1 is the initial term of the sequence

r is the ratio

and n is the term number

We know a1 = 1/2 and r =4

I will assume that x=6 means we want to know the 6th term

an = 1/2 (4)^ (n-1)

We want to find the 6th term

a6 = 1/2 * 4^(6-1)

a6 = 1/2 * 4^5

a6 = 512

3 0
3 years ago
Helpppp. I don’t understand
Pie
Multiply 2^(-5) by 2^6.  The correct result is 2^1, or just 2 (inches).
7 0
3 years ago
Solve 5x3/4 as a mixed number, plz
lana [24]
Multiply straight across
5/1 * 3/4 = 15/4
now change it into a mixed number
3 3/4


4 0
3 years ago
Let $f(x) = 2x^2 + 3x - 9,$ $g(x) = 5x + 11,$ and $h(x) = -3x^2 + 1.$ Find $f(x) - g(x) + h(x).$
Viefleur [7K]

QUESTION 1

Given that:

f(x)=2x^2+3x-9,

g(x)=5x+11,

and

h(x)=-3x^2+1

Then;

f(x)-g(x)+h(x)=2x^2+3x-9-(5x+11)+(-3x^2+1)

f(x)-g(x)+h(x)=2x^2+3x-9-5x-11-3x^2+1

Group similar terms;

f(x)-g(x)+h(x)=2x^2-3x^2+3x-5x-11-9+1

Simplify;

f(x)-g(x)+h(x)=-x^2-2x-19

QUESTION 2

Given that;

f(x)=4x-7.

g(x)=(x+1)^2

and

s(x)=f(x)+g(x)

Substitute the functions;

s(x)=4x-7+(x+1)^2

Substitute x=3

s(3)=4(3)-7+(3+1)^2

s(3)=12-7+(4)^2

s(3)=5+16

s(3)=21

QUESTION 3

Given:

f(x)=3x+2

g(x)=x^2-5x-1

f(g(x))=f(x^2-5x-1)

This implies that;

f(g(x))=3(x^2-5x-1)+2

Expand the parenthesis;

f(g(x))=3x^2-15x-3+2

f(g(x))=3x^2-15x-1

QUESTION 4

The given function is;

f(x)=3(x-6)^2+1

Let

y=3(x-6)^2+1

\Rightarrow y-1=3(x-6)^2

\Rightarrow \frac{y-1}{3}=(x-6)^2

\Rightarrow \sqrt{\frac{y-1}{3}}=x-6

\Rightarrow x=6+\sqrt{\frac{y-1}{3}}

The range is:

\frac{y-1}{3}\ge0

y-1\ge0

y\ge1

The interval notation is;

[1,+\infty)

6 0
3 years ago
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