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vitfil [10]
2 years ago
14

Neptune is 2,798,842,000 miles from the sun. How many hours does it take lightto travel from the sun to Neptune?

Mathematics
1 answer:
Mrrafil [7]2 years ago
4 0

9514 1404 393

Answer:

  4.17 hours

Step-by-step explanation:

The speed of light is about 670,616,629.4 miles per hour, so the travel time to Neptune is ...

  (2,798,842,000 mi)/(670,616,629.4 mi/h) ≈ 4.17 h

It takes about 4.17 hours for light to travel from the sun to Neptune.

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Factor x3 – 4x2 + 7x – 28 by grouping. What is the resulting expression
Anni [7]

Answer: Answer d

Step-by-step explanation:

7 0
2 years ago
Robert has $50 to spend on his utility bills each month. The basic monthly charge is 23.77 electricity costs 0.1117 for each kil
Lilit [14]

Answer:

<em>The maximum number of kilowatt-hours is 235</em>

Step-by-step explanation:

<u>Inequalities</u>

Robert's monthly utility budget is represented by the inequality:

0.1116x + 23.77 < 50

Where x is the number of kilowatts of electricity used.

We are required to find the maximum number of kilowatts-hours used without going over the monthly budget. Solve the above inequality:

0.1116x + 23.77 < 50

Subtracting 23.77:

0.1116x < 50 - 23.77

0.1116x < 26.23

Dividing by 0.1116:

x < 26.23/0.1116

x < 235

The maximum number of kilowatt-hours is 235

7 0
1 year ago
Consider the following sets. U = {all real number points on a number line} A = {solutions to the inequality 3x + 4 ≥ 13} B = {so
blagie [28]

Answer:

2 < x < 3

Step-by-step explanation:

Set A)

3x + 4 ≥ 13

3x ≥ 9

x ≥ 3

Set B)

0.5x + 3 ≤ 4

0.5x ≤ 1

x ≤ 2

Plot it out on a number line, and you'll see that 2 < x < 3

7 0
2 years ago
Sally paid $2.40 for 4 ounces of cinnamon. If there are 16 ounces in 1 pound, how much does cinnamon cost per pound
Marina86 [1]

Answer:

For 1 pound that would $9.20

Step-by-step explanation:

Since there are 16 ounces in 1 pound and Sally paid for 4 with $2.40, what you have to do is take that total and times it by how many you need to times the ounces by to get a pound which would be 4.

4 x 4 = 16

So, that means to get the total for 1 pound you would have to do

$2.40 x 4

Which would equal

$9.20

3 0
2 years ago
Read 2 more answers
Solve the trigonometric equation in the interval [0, 2π). Give the exact value, if possible; otherwise, round your answer to two
svp [43]

Answer:

θ∈{\frac{\pi }{8},\frac{5\pi }{8},\frac{9\pi }{8},\frac{13\pi }{8}}

Explanation:

The given equation is

sin(2\theta )-cos(2\theta )=0

\Rightarrow sin(2\theta )=cos(2\theta )\\\\\therefore \frac{sin(2\theta )}{cos(2\theta )}=1\\\\tan(2\theta )=1\\\\\therefore 2\theta =n\pi +\frac{\pi}{4}\\\\\therefore \theta =\frac{n\pi }{2}+\frac{\pi }{8}

Applying values on 'n' we obtain values of θ that beling to [0,2π)

For n=0, θ=\frac{\pi }{8}

For n=1, θ =\frac{5\pi }{8}

For n=2,θ =\frac{9\pi }{8}

For n=3,θ =\frac{13\pi }{8}

6 0
2 years ago
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