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3 years ago

What is the correct answer can you guys help me I really need help on this?? Please

Mathematics

1 answer:

luda_lava [24]3 years ago

3 0

The answer is 192 y^8.

(4y^2)^3 = 64y^6

64y^6 • 3y^2= 192y^8

When “multiplying” a number with an exponent, you add the 2 exponents.

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What is the answer to this question 3x+1=10

Angelina_Jolie [31]

Step-by-step explanation:

$3x+1=10 \\ \\ \therefore \: 3x = 10 - 1 \\ \\ \therefore \: 3x = 9 \\ \\ \therefore \: x = \frac{9}{3} \\ \\ \: \: \: \: \: \: \: \: \huge \purple { \boxed{\therefore \: x = 3}} \\ \\$

6 0

2 years ago

After adding an 8-pound box with 6 identical boxes, the crate weighed 72 boxes

damaskus [11]

After adding 8 students to each of 6 same-sized teams, there were 72 students altogether.

After adding an 8-pound box of tennis rackets to a crate with 6 identical boxes of ping pong paddles, the crate weighed 72 pounds.

The first situation has all equal parts, since additions are made to each team. An equation that represents this situation is 6( x + 8 ) = 72, where x represents the original number of students on each team. Eight students were added to each group, there are 6 groups, and there are a total of 72 students.

In the second situation, there are 6 equal parts added to one other part. An equation that represents this situation is 6x + 8 = 72, where x represents the weight of a box of ping pong paddles, there are 6 boxes of ping pong paddles, there is an additional box that weighs 8 pounds, and the crate weighs 72 pounds altogether.

In the first situation, there were 6 equal groups, and 8 students added to each group. 6( x + 8 ) = 72.

In the second situation, there were 6 equal groups, but 8 more pounds in addition to that. 6x + 8 = 72.

6 0

2 years ago

AP statistics: What is the easiest way to understand sample size?

Sveta_85 [38]

Answer:

Step-by-step explanation:

za/2: Divide the confidence interval by two, and look that area up in the z-table: .95 / 2 = 0.475. ...

E (margin of error): Divide the given width by 2. 6% / 2. ...

: use the given percentage. 41% = 0.41. ...

: subtract. from 1.

8 0

2 years ago

Determine the average speed of the current in a river if a boat moves at 20 miles/hour in still water and takes 3 hours to trave

Taya2010 [7]

The speed of the current in a river is 6 miles per hour

Solution:

Given that,

Speed of boat in still water = 20 miles per hour

Time taken = 3 hours

Distance downstream = 78 miles

To find: Speed of current

If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then:

Speed downstream = (u + v) km/hr

Speed upstream = (u - v) km/hr

Therefore, speed downstream is given as:

$\text{ speed downstream } = \frac{distance}{time} = \frac{78}{3}\\\\\text{ speed downstream } = 26 \text{ miles per hour }$

We know that,

Speed downstream = (u + v)

26 = 20 + v

v = 26 - 20

v = 6 miles per hour

Thus speed of the current in a river is 6 miles per hour

3 0

3 years ago

What is the approximate perimeter of a semicircle with a radius of 8 m? Use pi star times = 3.14. Express your final answer to t

irga5000 [103]

The perimeter of a semicircle consists of two parts. (the curve and bottom)
That curve is half the distance around the circle, since it's been split in half.
The distance around a circle, the circumfrence, is equal to 2πr, where r is the radius of that circle. In this case, the circumfrence of the entire circle would be 16π. and so that curve would have a length of just 8π.
Using 3.14 for π, 8π = 8×3.14 = 25.12.
As for the flat part, that is the diameter (distance across) our circle.
The radius is the distance from the center of a circle to its edge, and always has half the length of the diameter. (you can break the diameter down into two radii)
If our radius is 8 meters, our diameter (the flat part of that semicircle) must be 16.
Now we add up the two parts of the perimeter...25.12 + 16 = 41.12.

5 0

3 years ago