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lesya692 [45]
3 years ago
12

Need help quick simplify the expression (-4) power of 3

Mathematics
1 answer:
dezoksy [38]3 years ago
8 0

Answer:

-64

Step-by-step explanation:

The question is asking to solve (-4)^3

Notice how the -4 is in parenthesis. This means that along with the 4 being multiplied, the negative is too.

(-4)^3 is the same as -4 · -4 · -4

First let's figure out if this will be negative or positive

Whenever the exponent is odd and there is a negative in the parenthesis the answer will be negative and if its even it will be positive

Now find out what 4 x 4 x 4 equals (64)

In conclusion the answer is -64

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Karina wants to fill the base so that it is 85% full. What is the volume of the base that she is filling? (Find 85% of the volum
Mazyrski [523]

Question:

Karina has recently begun kickboxing and purchased training equipment as modeled in the diagram below. The cylindrical base is 15 inches tall with a diameter of 22 inches.

Karina wants to fill the base so that it is 85% full. What is the volume of the base that she is filling? (Find 85% of the volume).

Answer:

Section = 4847.3205\ in^3

Step-by-step explanation:

Given

h = 15in -- height

d = 22in -- diameter

Required

85% of the volume

First, calculate the radius

r = \frac{1}{2} * d

r = \frac{1}{2} * 22= 11in

The volume (V) is then calculated using:

V = \pi r^2h

V = 3.142* 11^2 * 15

V = 5702.73\ in^3

85% of the volume is:

Section = 85\% * V

Section = 85\% *  5702.73\ in^3

Section = 4847.3205\ in^3

3 0
2 years ago
| Solve for X<br> 8x + 1 = 49
Doss [256]
8x + 1 = 49

8x = 48

x = 6
6 0
2 years ago
The number of bags of mulch you need to cover a planting area varies jointly with the area to be mulched (a) in sq ft and the de
Lena [83]

Answer:

  22 2/9

Step-by-step explanation:

When z "varies jointly" with x and y, it can be described by the formula

   z = kxy

Here, we have bags of mulch (n) varying jointly with area (a) and depth (d), both in feet. The given information can let us find the value of k.

  n = kad

  10 = k·(120)(1/4)

  10/30 = k = 1/3 . . . . . divide by the coefficient of k

Now, we can fill in the other values of interest.

  n = (1/3)·(200)·(1/3) = 200/9

  n = 22 2/9

You need 22 2/9 bags of mulch to cover 200 ft² to a depth of 4 inches.

_____

<em>Comment on the problem</em>

This problem requires the formula be written with both area and depth expressed in feet, yet it gives depth in inches. The formula can also be written using depth in inches. In that case, k = 1/36.

8 0
3 years ago
A direct function of Gene is?
uranmaximum [27]
It is called proteins
5 0
3 years ago
Solve the inequality for t.<br><br> 11 ≤ t + 4<br><br> Simplify your answer as much as possible.
Softa [21]

Answer:

t≥7

Step-by-step explanation:

11≤t+4

4 moves to the other side hence its sign changes

11-4≤t

7≤t

they change sides

t≥7

the sign was facing t so this does not change

8 0
3 years ago
Read 2 more answers
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