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3 years ago

2^n=8^20. Solve for n

Mathematics

2 answers:

dybincka [34]3 years ago

7 0

Answer:

2^n=8^20

2^n=2^20x3

Since they have the same base number

n=60

damaskus [11]3 years ago

3 0

Hi the answer is 60 but the picture will show you the work!!

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Area: 28.67 sq m and the side is 4.7 m The missing side length is equal to:??? m

Mice21 [21]

Answer:

6.1

Step-by-step explanation:

area =leanth x breath.

if one side=4.7,

then, missing length=area/given side

= 28.67/4.7

=6.1

4 0

2 years ago

Compare the scores: a score of 75 on a test with a mean of 65 and a standard deviation of 8 and a score of 75 on a test with a m

LiRa [457]

Answer:

The Zscore for both test is the same

Step-by-step explanation:

Given that :

TEST 1:

score (x) = 75

Mean (m) = 65

Standard deviation (s) = 8

TEST 2:

score (x) = 75

Mean (m) = 70

Standard deviation (s) = 4

USING the relation to obtain the standardized score :

Zscore = (x - m) / s

TEST 1:

Zscore = (75 - 65) / 8

Zscore = 10/8

Zscore = 1.25

TEST 2:

Zscore = (75 - 70) / 4

Zscore = 5/4

Zscore = 1.25

The standardized score for both test is the same.

7 0

2 years ago

A cylinder has a 12-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed wi

Tems11 [23]

The volume of the cylinder is the space occupied by the cylinder. The volume of the water in the cylinder is 1583.36266 in³.

<h3>What is the volume of a cylinder?</h3>

The volume of the cylinder is the space occupied by the cylinder. It is calculated with the help of the formula,

$\text{Volume of the cyllinder}= \pi r^2h$

As it is given that the diameter of the cylinder is 12 inches while the height of the cylinder is 15 inches, also, it has a ball of the diameter of 6 inches placed inside the cylinder, therefore, the volume of the water that is inside the cylinder is the difference in the volume of the cylinder and the volume of the spherical ball.

$\text{Volume of the cyllinder}= \pi r^2h = \dfrac{\pi}{4}d^2 h$

Substitute the values,

$\begin{aligned}\text{Volume of the cyllinder}&= \dfrac{\pi}{4}d^2 h\\& = \dfrac{\pi}{4} \times (12^2) \times 15\\ &=1696.46\rm\ in^3\end{aligned}$

Now, the volume of the ball is equal to the volume of the sphere therefore, the volume of the ball can be written as,

$\text{Volume of the sphere} = \dfrac{4}{3}\pi r^3$

$= \dfrac{4}{3}\pi r^3\\\\= \dfrac{4}{3}\times \pi \times (3^3)\\\\= 113.097\rm\ in^3$

Further, the volume of the water that is inside the cylinder can be written as,

The volume of water = Volume of the cylinder - Volume of the sphere

= 1696.46 - 113.097

= 1583.36266 in³

Hence, the volume of the water in the cylinder is 1583.36266 in³.

Learn more about Volume of the Cylinder:

brainly.com/question/1780981

5 0

2 years ago

2x – 2 7 <br> how do i graph this?

Debora [2.8K]

I need more info that’s not

8 0

3 years ago

Read 2 more answers

If AABC = ADFE determine the values of x and y.

natita [175]

$8y - 5 = 99 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 8y = 99 + 5 \\ \: \: \: \: \: \: \: \: \: \: 8y = 104 \\ \: \: \: \: \: \: \: \: \: \: \: \: y= \frac{104}{8} \\ \: \: \: \ \: \: \: y = 13$

$\: \: \: \: \: \: 2y + x = 38.4 \\ 2(13) + x = 38.4 \\ \: \: \: \: \: \: 26 + x = 38.4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 38.4 - 26 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 12.4$

6 0

3 years ago