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2 years ago

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The mass of earth is 5.97 X 10^24 kilograms. The mass of the moon is 7.34 X 10^22 kilograms. What is the combined mass of earth

and the moon? Express your answer In scientific notation.

1 answer:

Juliette [100K]2 years ago

3 0

Just need to convert the mass of moon in terms of 10^24. So shift over 2 decimal places.

5.97 x 10^24 + 0.0734 x 10^24 = 6.04 x10^24

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Julie and Eric row their boat (at a constant speed) 55 miles downstream for 5 hours, helped by the

Archy [21]

Answer: C = 3 mph is the rate of the current.

Step-by-step explanation:

Hey there!

<u />

<u>You can use the distance formula (d = rt) to solve this problem. </u>

Downstream trip: d = 55 miles, t = 5 hours, and r = R + C

R + C is their rowing speed (R) plus the rate of the current (C).

Upstream trip: d = 55 miles, t = 11 hours, and r = R - C

R - C is their rowing speed (R) minus the rate of the current (C).

Downstream: 55 mi. = (R + C)5 hrs. Divide both sides by 5: R + C = 11

Upstream: 55 mi. = (R - C)11 hrs. Divide both sides by 11: R - C = 5

<u>Calculations</u>

R + C = 11 Subtract C from both sides.

R = 11 - C Substitute this into: R - C = 5

(11 - C) - C = 5 Simplify and solve for C

11 - 2C = 5 Add 2C to both sides.

11 = 2C + 5 Subtract 5 from both sides.

6 = 2C Divide both sides by 2

C = 3 mph is the rate of the current.

~I hope I helped you! :)~

5 0

3 years ago

Factor the expression using the GCF.<br> 60 – 36 =

Ivanshal [37]

Answer

12 (5 - 3)

Step-by-step explanation:

The greatest common factor is the largest number that will divide both numbers evenly. As an example, 6 is a common factor because it divides both 60 and 36. However, it is not the greatest common factor.

If I break 60 into it's prime factors, I would get 2 * 2 * 3 * 5.

If I break 36 into it's prime factors, I would get 2 * 2 * 3 * 3.

The two number have the factors, 2, 2, and 3 in common.

The greatest common factor is then: 2 * 2 * 3, or 12.

The expression can be factored as: 12 ( 5 - 3)

6 0

3 years ago

On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line

NikAS [45]

Answer:

the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

Step-by-step explanation:

Given that a line passes through two points

A(-2, -4) and B(4, 2)

Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

Solution:

First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

Parallel lines have the same slope.

Slope of a line is given as:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{2-(-4)}{4-(-2)} = 1$

Now, using slope intercept form ( $y = mx+c$ ) of a line, we can write the equation of line parallel to AB:

$y =(1)x+c \Rightarrow y = x+c$

Now, putting the point P(0,4) to find c:

$4 = 0 +c \Rightarrow c = 4$

So, the equation is $\bold{y=x+4}$

So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.

So, the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

8 0

2 years ago

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What is a definition of complex number?

antoniya [11.8K]

Answer:

Step-by-step explanation:

A complex number is a number that contains a real part and an imaginary one .

Mathematical expression : a+bi xhera a and b are real numbers and i the solution of an equation like x²) -1 ..

6 0

2 years ago

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Are the triangles congruent? Why or why not?

Annette [7]

It would be C.

In the second triangle if you add the angles 58+33 to angle C 88, you get 179, not 180. So the triangle dont share the same angles meaning they arent congruent.

6 0

2 years ago

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