The planet Mars has two moons – Phobos and Deimos. Phobos has a mass of 10.8 × 1015 kilograms, and Deimos has a mass of 2.0 × 1015 kilograms. How much greater is the mass of Phobos than the mass of Deimos?

Answers

Answer 1
Answer:

Answer:

mass of Phobos is 8.8 × 10¹⁵ Kilograms greater than mass of Deimos.

Step-by-step explanation:

The planet Mars has two moons Phobos and Deimos.

Mass of Phobos = 10.8 × 10¹⁵ Kilograms

Mass of Deimos = 2 × 10¹⁵ Kilograms

So the difference in the masses of the moons

= 10.8 × 10¹⁵ - 2 × 10¹⁵

= (10.8 - 2) × 10¹⁵

= 8.8 × 10¹⁵ Kilograms

Therefore, mass of Phobos is 8.8 × 10¹⁵ Kilograms greater than mass of Deimos.

Answer 2
Answer: The answer is 8932. I'm pretty sure... Hope it helps

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What is the approximate volume of the sphere?

Answers

Question 1:
 The volume of a sphere is given by:
 V = (4/3) * (pi) * (r ^ 3)
 Where,
 r: sphere radio
 Substituting values we have:
 V = (4/3) * (3.14) * ((10/2) ^ 3)
 V = 523.3333333
 Rounding the nearest whole number we have:
 V = 524 m ^ 3
 Answer:
 option 1
 V = 524 m ^ 3

 Question 2: 
 The area of a sphere is given by:
 V = (4) * (pi) * (r ^ 2)
 Where,
 r: sphere radio
 Substituting values we have:
 V = (4) * (3.14) * ((15/2) ^ 2)
 V = 706.5
 Rounding the nearest whole number we have:
 V = 706.5 yd ^ 2
 Answer:
 
V = 706.5 yd ^ 2
 
option 2
1 A
2 B
3 A
4 B
5 B
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If a gardener fences in the total rectangular area shown in the illustration instead of just the square area, he will needtwice as much fencing to enclose the garden. How much fencing will he need?
34 ft

Answers

The perimeter of the rectangle is:

P = 136ft

How much fencing will he need?

For a rectangle of length L and width W the perimeter is:

P = 2*(L + W)

And for a square of side length S, the perimeter is:

P' = 4*L

The length of the rectangle is:

L = 34ft + x

The width is W = x

For the square we have the side length S = x

Here we know that the perimeter of the rectangle is twice the perimeter of the square, then:

2*(W + L) = 2*(4*S)

Replacing these variables in terms of x, we get.

2*(x + 34ft + x) = 2*(4*x)

4x + 68ft = 8x

68ft = 8x - 4x = 4x

68ft/4 = x = 17ft

Then the perimeter of the rectangle is:

P = 2*(34ft + 17ft + 17ft) = 136ft

If you want to learn more about perimeters:

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If h(x) = 6 - X, what is the value of (hoh)(10)?
04
01-2
110
16.

Answers

For the function h(x) = 6 - X the value of (hoh)(10) is 10.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The given function is h(x) = 6 - X

We have to find the value of  (hoh)(10)

The composite function (hoh)(10) can be written as h(h(10))

h(h(10))

Plug in the value 10 in place of x

=h(6-10)

=h(-4)

Now let us find h(-4)

=6-(-4)

=6+4

=10

Hence, for the function h(x) = 6 - X the value of (hoh)(10) is 10.

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Answer:

h(h(10))---> h(-4)---->10 ......hOh(10)=10

Step-by-step explanation:

4,275.50= 391/2 of ____

Answers

Answer:

The required value for the blank is 21.8696

Step-by-step explanation:

Consider the provided information,

4,275.50= 391/2 of ____

Replace blank with x.

4,275.50 = 391/2 of x

Use sign of multiplication for "of".

4,275.50 = (391)/(2) * x

Solve the above expression for x.

x=(4,275.50* 2)/(391)

x=21.8696

Thus, the required value for the blank is 21.8696

On a can of sardines it is written that the can contains 10 sardines. You open up 100 cans and find the average is 9.75 sardines with a standard deviation of 1. What is the test statistic in a test of the null hypothesis that the population average is 10? Can you reject the null at the 5% significance level?

Answers

Answer:

The test statistic is -2.5

Yes, I can reject the null hypothesis at 5% significance level.

Step-by-step explanation:

Null hypothesis: The average number of sardines in a can is 9.75

Alternate hypothesis: The average number of sardines in a can is greater than 9.75

Test statistic (z) = (sample mean - population mean) ÷ sd/√n

sample mean = 9.75

population mean = 10

sd = 1

n = 100

z = (9.75 - 10) ÷ 1/√100 = -0.25 ÷ 0.1 = -2.5

The test is a one-tailed test. At 5% significance level, the critical value is 1.645

Conclusion:

Reject the null hypothesis because the test statistic -2.5 is less than the critical value 1.645

Valerie wants to take out a discount loan of $569. The rate is 4.5% for 250 days. How much interest will she pay? (Be sure to round the time to the nearest hundredth.

Answers

The interest is computed from

... I = Prt

where P is the principal amount ($569), r is the rate (0.045) and t is the time in years (250/360).

... I = $569×0.045×250/360 ≈ $17.78

Please note that time is not rounded. Rather, the exact value (25/36) is used in the calculation. The only rounding of any number is done at the end, where the amount is rounded to the nearest cent. (Your text authors should know this.)

_____

If you follow the problem instructions (which Valerie's lender will not do), the interest is calculated as ...

... t = 250/360 = 0.6944444... ≈ 0.69 . . . . years

... I = $569×0.045×0.69 ≈ $17.67

_____

Note the rounding of intermediate numbers (time) introduces an error of about $0.11 in the answer.

Answer:$17.41 (A+)


Step-by-step explanation: