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ser-zykov [4K]
3 years ago
13

How do you do radical 128 with an index of negative 3

Mathematics
1 answer:
NikAS [45]3 years ago
4 0
128=2^7\\\\128^{-3}=\left(2^7\right)^{-3}=2^{7\cdot(-3)}=2^{-21}=\frac{1}{2^{21}}
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A roller coaster makes an angle of 52 degrees with the ground. The horizontal distance from the crest of the hill to the bottom
Ann [662]

Answer:

Step-by-step explanation:

Using soh cah toa

Sin=opp/hot

Sin 52°=h/121

h=sin52°×121

h=0.7880×121feet

h=95.348feet

4 0
3 years ago
- 22 - 7v = - 3(8V + 4)<br> Round to the nearest hundreth
Dmitriy789 [7]

Answer:

v = 0.58

Step-by-step explanation:

-22 - 7v = -3(8v + 4)

Expand -3(8v + 4)

3 * 8v - 3 * 4

Simplify -3 * 8v -3 * 4

= -24v - 12

-22 - 7v = -24v - 12

Add 22 to both sides

-7v = -24v +10

Add 24v to both sides

17v = 10

\frac{17v}{17} =\frac{10}{17}

v =\frac{10}{17}

v=0.58

5 0
3 years ago
The formula for the volume of a sphere is a power function:
soldier1979 [14.2K]

Answer:

r≥0

V(r) ≥0

Step-by-step explanation:

V(r) = 4/3 * Pi* r^3

The domain is the input values for r

The radius cannot be less than 0  but can be any number bigger than 0

What is the domain of the function in this situation?

r≥0

The range is the output values for the function or the volume

The volume must be greater than or equal to zero

V(r) ≥0

7 0
3 years ago
Read 2 more answers
Samantha threw and apple out of the window fr the tenth floor of her apartment building. The equation y= -16t^2 +120 can be used
prohojiy [21]
Answer:
time taken = 2.74 seconds

Explanation:
We are given that:
y = -16t² + 120 models the situation where:
y is the floor number
t is the time taken for the apple to hit the ground

We are also given that the floor number (y) is 10. Therefore, all we have to do is substitute with y in the above equation and solve for the time t as follows:
y = -16t² + 120
10 = -16t² + 120
120 - 10 = 16t² 
110 = 16t²
t² = 110/16
t = ±√6.875
either t = 2.74 seconds ..........> accepted
or t = -2.74 seconds .........> rejected as time cannot be in negative

Hope this helps :)
3 0
3 years ago
If the radius is increased by a factor of three, how many times the volume of the small sphere is the large sphere? *
dusya [7]

Answer:

27

Step-by-step explanation:

8 0
3 years ago
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