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3 years ago

If nine is multiplied by a fraction less than one?

Mathematics

1 answer:

Nina [5.8K]3 years ago

5 0

Answer:

Step-by-step explanation:

The product is less than either of the factors. Multiplying a number < 1 with 2/3 another number < 1, will give a fraction of a fraction, and part of a fraction is an even smaller fraction. Another way of looking at it: Fractions less than one have numerators smaller than their denominators. When multiplying fractions, you multiply across, so multiplying two fractions that are both less than one will always give a numerator much smaller than the denominator, and a larger denominator makes for a smaller number. I hope this helps, but if you have questions, ask.

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See question in attached photo.<br>Answer question 4b and 5c

sdas [7]

9514 1404 393

Answer:

4b: 8.6 m/s²; 1.3×10^5 N; 2.1×10^4 N decrease

5c: -1.6×10^12 J; -1.6×10^12 J

Step-by-step explanation:

i) The acceleration due to gravity is inversely proportional to the square of the distance between the objects. The distance to the shuttle is ...

1 + (5×10^5)/(6.4×10^5) = 69/64 . . . times the radius of the earth

Then the acceleration due to gravity at the height of the space shuttle is about ...

(10 m/s²)(64/69)² ≈ 8.6 m/s²

ii) The weight of the space shuttle at that height is about ...

F = ma = (15000 kg)(8.6 m/s²) ≈ 1.3×10^5 N

iii) The loss of weight will be ...

ΔF = m(a1 -a0) = (15000 kg)(10 m/s² -8.6 m/s²)

= 1.5×10^4×1.4 N = 2.1×10^4 N

____

i) The gravitational potential energy is given by ...

U = -GMm/r

where M and m are the mass of the earth and the rocket, respectively.

U = -(6.67×10^-11)(6.0×10^24)(2.5×10^4)/(6.4×10^6) ≈ -1.6×10^12 J

ii) At a height of 3×10^4 m, the denominator in the above expression changes from 6.4×10^6 to 6.43×10^6. This changes the gravitational potential energy by a factor of 6.4/6.43 to -1.6×10^12 J

(Note: we're carrying only 2 significant figures in the result in accordance with the rules for precision in such calculations. The change is noticeable at the level of the 4th significant figure, less than 1/2%.)

4 0

3 years ago

Help please fast the format is Y-____=_____(x - ____) and i need the actual answer

mojhsa [17]

9514 1404 393

Answer:

y -195 = 15(x -9)
$60

Step-by-step explanation:

The form of the equation you are given is called "point-slope" form. The "slope" in this case is the per-hour fee. The point is (9 h, $195). Point-slope form generally looks like this:

y -k = m(x -h) . . . . . line with slope m through point (h, k)

Here, you have m=15, (h, k) = (9, 195), so the equation looks like ...

y -195 = 15(x -9)

The "one-time fee" is the cost when hours are zero.

y -195 = 15(0 -9)

y = 195 -9(15) = 60 . . . . add 195 to both sides, and evaluate

The one-time fee is $60.

5 0

3 years ago

Select what would happen to your 1) taxable income and 2) tax liability when you are able to claim a deduction such as student l

Vinil7 [7]

When you are able to <span>claim a deduction such as student loan interest would taxable income would be lower and your tax liability would go higher. The liability would increase since a loan is a debt. Hope this answers the question. Have a nice day.</span>

3 0

3 years ago

Street B has a slope of 1/4 and passes through (4, 6).

Eduardwww [97]

Answer:

4y - x = 20

Step-by-step explanation:

y-y1 = m (x-x1)

y - 6 = 1/4 (x - 4)

4y - 24 = x - 4

4y - x = 20

7 0

3 years ago

Read 2 more answers

Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the g

AleksAgata [21]

Answer:

y=3/7x

Step-by-step explanation:

Parallel means same slope.

y-y1=m(x-x1)

y-0=3/7(x-0)

y=3/7(x)+0

y=3/7x

8 0

3 years ago