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frez [133]
2 years ago
8

The crab nebula is a cloud of gas and dust particles in space that is expanding at a rate of 930 miles per second. What is its r

ate of expansion in miles per hour?
Mathematics
1 answer:
Flauer [41]2 years ago
7 0
There are 3,600 seconds in one hour so if it expands at rate of 930 miles per second then 930 * 3600= 3,348,000 miles per hour
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Jose received $250 for his birthday from his family. He wishes to buy a motorcycle and decides to use his birthday money towards
BartSMP [9]

Answer:

He will have $276.10 available towards the down payment for his motorcycle

Step-by-step explanation:

The compound interest formula is given by:

A = P(1 + \frac{r}{n})^{nt}

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this problem, we have that:

P = 250, t = 2, r = 0.05

Compounded quarterly, so n = 12/4 = 3.

We have to find A.

A = P(1 + \frac{r}{n})^{nt}

A = 250(1 + \frac{0.05}{3})^{3*2}

A = 276.1

He will have $276.10 available towards the down payment for his motorcycle

8 0
2 years ago
If you are smart in ranges, graphs, and functions, pls help me out. Look at the screenshot below!
jeka94

Answer:

<u>Graph of the equation y = 2/5x - 1</u>

Please check the attached graph of the equation where:

The point  (0, -1) represents the y-intercept, it is the point where the line crosses the y-axis.

The point  (2.5, 0) represents the x-intercept, it is the point where the line crosses the x-axis.

Step-by-step explanation:

Given the equation

y = 2/5x - 1

<u>Determining the y-intercept:</u>

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

As the equation is given such as

y = 2/5x - 1

substitute x = 0

y = 2/5(0) - 1

y = 0 - 1

y = -1

so the ordered pair (0, -1) represents the y-intercept.

Thus, the y-intercept is: -1

<u>Determining the x-intercept:</u>

We know that the value of the x-intercept can be determined by setting x = y and determining the corresponding value of x.

As the equation is given such as

y = 2/5x - 1

substitute y = 0

0 = 2/5x - 1

2/5x = 1

x = 5/2

x = 2.5

so the ordered pair (2.5, 0) represents the x-intercept.

<u>Graph of the equation y = 2/5x - 1</u>

Please check the attached graph of the equation where:

The point  (0, -1) represents the y-intercept, it is the point where the line crosses the y-axis.

The point  (2.5, 0) represents the x-intercept, it is the point where the line crosses the x-axis.

6 0
2 years ago
If two triangles are similar, which pair of conditions must be true?
SVEN [57.7K]
I think its sides ae congruent and sides are congruent
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Whats the answer and steps to 5g+4(-5+3g)=1-g
Lady_Fox [76]
5g+4(-5+3g)=1-g \\\\ 5g-20+12g=1-g \\\\ 17g-20=1-g\\\\ 17g+g=1+20\\\\18g=21 \\\\ \boxed{g=\frac{21}{18}=\frac{7}{6}}
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3 years ago
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Suppose you purchase a raffle ticket for $1.00. First prize is $5,000, second prize is $1,000, and third prize is $500. If 500 t
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You should expect to gain 12$
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