Simplify the expression. Write the answer using scientific notation.Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5,880,000,000,000 miles. Suppose a star is 15.8 light-years from Earth. In scientific notation, how many miles away is it?

Answers

Answer 1
Answer: we are given with two distances: 5,880,000,000,000 miles and 15.8 light-years. we convert first the light-years distance through the speed of light : 3 x 108 m/s. v = d/t; d = 3x10 8 m/s * 15.8 light years * 31536000 s = 1.4948 x1017 m = 9.28829 x 1013 miles. The difference thus is 8.70029 x 1013 miles

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Describe what happens to a parent function when you change k from 0 to –4.A.
The graph will stay the same.
B.
The graph will shift up 4 units.
C.
The graph will shift down 4 units.
D.
The graph will shift right 4 units.

Answers

C.
The graph will shift down 4 units.

Sarah has been training for a marathon, which will cover a distance of 42.195 km. In trainingshe has consistently run 1km each 6 minutes. How long will it take Sarah to complete the
Marathon if she runs at this pace consistently throughout the race?

Answers

Answer:

4 hours 21 minutes 17 seconds.

Step-by-step explanation:

1km = 6 minutes

42.195km = ?

42.195 × 6 = 253 minutes 17 seconds = 4 hours 21 minutes 17 seconds.

Answer:

4 hours 21 minutes 17 seconds.

Step-by-step explanation:

The triangles below are similar. Which similarity statement expresses the relationship between the two triangles?

A. ΔZXY≈ΔCAB
B. ΔZXY≈ΔACB
C. ΔZXY≈ΔCBA
D. ΔZXY≈ΔABC

Answers

Answer:

A. ΔZXY≈ΔCAB

Step-by-step explanation:

In the smaller triangle, YZ is the smallest side.  In the larger triangle, BC is the smallest side.  This means that YZ corresponds to BC.

In the smaller triangle, YX is the "medium sized" side.  In the larger triangle, BA is the "medium sized" side.  This means that YX corresponds to BA.

In the smaller triangle, ZX is the longest side.  In the larger triangle, CA is the longest side.  This means that ZX corresponds to CA.

This gives us that Z corresponds to C, X corresponds to A and Y corresponds to B.  This gives us the similarity statement

ZXY~CAB

we know that

the scale factor is equal to 2
so
CB≈ZY
BA
≈YX
CA
≈ZX

therefore
Δ ZXY≈ΔCAB

the answer is the option
A. ΔZXY≈ΔCAB

Sam used 17 cans of paint to paint 6 walls. He used the same amount of paint on each wall. Which is the correct way to show how to find how many cans of paint he used for each wall.

Answers

Answer:

The number of cans of paint he used for each wall is 2(5)/(6) cans

Step-by-step explanation:

Here we are told that Sam used 17 cans of paint to paint 6 walls

The correct way to find out how many cans of paint he used to paint each wall is as follows

Number of walls 17 cans of paint can paint = 6 Walls, we therefore divide both side of the equation by 6 so that the number of walls painted will be 1 as follows

6 Walls = Number of walls 17 cans of paint can paint

6/6 Walls  = Number of walls 17/6 cans of paint can paint

∴ 1 Walls  = Number of walls 17/6 cans of paint can paint  or

∴ 1 Wall  = Number of walls 2(5)/(6) cans of paint can paint

Which gives;

Number of walls 2(5)/(6) cans of paint can paint = 1 Wall or

The number of cans of paint he used for each wall = 2(5)/(6) cans.

What percent of 12 is 24

Answers

Answer:

200%.

100% of 12 is 12 since for example if a coat is 10$ and 100% off then its now 0$. Therefore 200% is twice of 12 making it 24.

24=200% of 12

Step-by-step explanation:

Robin randomly selects a number between 1 and 20. What is the probability that the number selected is the square of a natural number?a.1/2
b.-3/20
c.-3/10
d.1/5
e.1/3

Answers

Answer: d.(1)/(5)

Step-by-step explanation:

The square number between 1 and 20 = 1,4,9,16

The number of squares between 1 and 20 = 4

The total numbers between 1 and 20= 20

The probability that the number selected is the square of a natural number is given by :-

P=\frac{\text{square numbers}}{\text{total numbers}}\n\n\Rightarrow\ P=(4)/(20)=(1)/(5)

Hence, The probability that the number selected is the square of a natural number is (1)/(5)

D is I am pretty sure