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.
34 ft
The perimeter of the rectangle is:
P = 136ft
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
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04
01-2
110
16.
For the function h(x) = 6 - X the value of (hoh)(10) is 10.
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:
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".
Solve the above expression for x.
Thus, the required value for the blank is 21.8696
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
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: