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svetlana [45]
3 years ago
8

Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approxi

mately 5.88 x 1012 miles. Suppose a star is 3.2 x 102 light-years from Earth. In scientific notation, approximately how many miles is it
A 1.88 x 1012
B 5.88 x 1014
C 3.2 x 1015
D 1.88x 1015
Mathematics
2 answers:
nevsk [136]3 years ago
7 0
The answer is C. 3.2 x 1015
zhenek [66]3 years ago
3 0
Your answer will be c
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3.
zhenek [66]

Answer:

A)

Step-by-step explanation:

length = x +x + 2 = 2x + 2

Width = 2+ x

Area of rectangle = length *width

(x +2)(2x + 2) = 110

Use FOIL method

x*2x + x*2 + 2*2x + 2*2 = 110

2x² + <u>2x + 4x</u> + <u>4 - 110</u> = 0   {Combine like terms}

2x² +6x - 106 = 0

a = 2 ; b = 6 ; c = -106

b² - 4ac = 6² - 4*2*(-106)

             = 36 + 848

             = 884

\sqrt{b^{2}-4ac}=\sqrt{884}= 29.73

x =\dfrac{-b+\sqrt{b^{2}-4ac}}{2a} \ ; \ x==\dfrac{-b-\sqrt{b^{2}-4ac}}{2a}\\\\x = \dfrac{-6+29.73}{2*2} \ ; \ x =\dfrac{-6-29.73}{2*2} \ this \ is \  ignored \ as \ it \ is \  negative\\\\x=\dfrac{23.73}{4};

x = 5.93 m

5 0
3 years ago
September 6 is a Read Book Day.Polina read 5 times as many pages as Marcus read.Together,the read 108 pages.How many pages did e
Gemiola [76]

Answer:

The number of pages that Polina read was 90 and the number of pages that Marcus read was 18

Step-by-step explanation:

Let

x -----> number of pages that Polina read

y ----> number of pages that Marcus read

we know that

x+y=108 ----> equation A

x=5y -----> equation B

substitute equation B in equation A and solve for y

5y+y=108\\6y=108\\y=18

Find the value of x

x=5y -----> x=5(18)=90

therefore

The number of pages that Polina read was 90 and the number of pages that Marcus read was 18

3 0
3 years ago
A new company is purchasing a copier for their office. The table shows the costs associated with each copier. Write a system of
e-lub [12.9K]
Copier A:y=700x+0.02
Copier B:y=600x+0.06
8 0
3 years ago
Factor the quadratic expression completely<br> 6x^2 – 28x + 32
Fiesta28 [93]
Answer: 2(x-2)(3x-8)

7 0
3 years ago
What is 10÷5/8 in a math order.
Sedbober [7]
If you would like to calculate <span>10÷5/8, you can do this using the following steps:

</span><span>10÷5/8 = (10/5)/8 = 2/8 = 1/4 = 0.25

The correct result would be 1/4 or 0.25.</span>
3 0
4 years ago
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