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3 years ago

How much does a cat way on the moon

Mathematics

1 answer:

Gwar [14]3 years ago

5 0

Answer:

Since weight is directly dependent on the acceleration of gravity, things on the Moon will weigh only 16.6% (≈ 1/6) of their weight on Earth.

Step-by-step explanation:

Being that the moon has a gravitational force of 1.622m/s2, we multiply the object's mass by this quanitity to calculate an object's weight on the moon. So an object or person on the moon would weigh 16.5% its weight on earth. Therefore, a person would be much lighter on the moon.

have a nice day /night\

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What is the following product

Genrish500 [490]

For this case we must find the product of the following expression:

$\sqrt [3] {5} * \sqrt {2}$

By definition of properties of powers and roots we have:

$\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}$

We rewrite the expression using the lowest common index of 6, then:

$5 ^ {\frac {1} {3}} * 2 ^ {\frac {1} {2}} =$

We rewrite the terms in an equivalent way:

$5 ^ {\frac {2} {6}} * 2 ^ {\frac {3} {6}} =$

We rewrite the expression using the property mentioned:

$\sqrt [6] {5 ^ 2} * \sqrt [6] {2 ^ 3} =$

We combine using the product rule for radicals:

$\sqrt [n] {a} * \sqrt [n] {b} = \sqrt [n] {ab}$

So:

$\sqrt [6] {5 ^ 2 * 2 ^ 3} =\\\sqrt [6] {25 * 8} =\\\sqrt[6]{200}$

ANswer:

Option b

4 0

3 years ago

Which equation in slope-intercept form represents a line that passes through the point (6,−1) and is perpendicular to the line y

damaskus [11]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It is the slope of the line

b: It is the cut point with the y axis

By definition, if two lines are perpendicular then the product of their slopes is -1.

If we have: $y = 2x-7$

$m_ {1} = 2\\2 * m 2 = - 1\\m_ {2} = - \frac {1} {2}$

Thus, the equation is of the form:

$y = - \frac {1} {2} x + b$

We substitute the point:

$-1 = - \frac {1} {2} (6) + b\\-1 = - \frac {1} {2} (6) + b\\-1 = -3 + b\\-1 + 3 = b\\b = 2$

Finally, the equation is:

$y = - \frac {1} {2} x + 2$

Answer:

$y = - \frac {1} {2} x + 2$

6 0

3 years ago

What is the solution for 2x -4= -8

scoray [572]

Answer:

x = 48

Step-by-step explanation:

3x + 9 = 153

subtract 9 from both sides -9 -9

3x = 144

divide both sides by 3 3x/3 = 144/3

2x + (x + 9) = 153

2(48) + (48 + 9) = 153

96 + 57 = 153

153 = 153

8 0

3 years ago

Read 2 more answers

Michelle, lori, and patti buy lunch together. The total bill was $45. If michelle pays 35% of the total bill and lori pays 48% o

Vinvika [58]

Answer:

17% of the bill

Step-by-step explanation:

Well to find the answer to this question we first have to add 35 + 48 to get the total percent of the bill that Michelle and Lori paid.

35 + 48 = 83%

now that we know the percent of the bill that Lori and Michelle are paying we have to subtract that amount by 100% to get the percent of the bill that Patti is paying.

100% - 83% = 17%

So Patti is paying 17% of the bill

If we wanted to go even farther and find out what 17% of the bill was all we would have to do is multiply 45 by 17% or 45 x 0.17

45 x 0.17 = 7.65

So Patti is paying 7 dollars and 65 cents

3 0

3 years ago

Please help solve,

Gemiola [76]

1 gallon = 7 miles
2 gallon = 14 miles
3 gallon = 21 miles
4 gallon = 28 miles

4 0

3 years ago