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Viefleur [7K]
3 years ago
10

The population of United States is about 3×10(to the power of 8). The population of Kazakhstan is about 1.5×10(to the power of 7

). How many times greater is the population of United States then Kazakhstan?
Mathematics
1 answer:
MAVERICK [17]3 years ago
6 0

Answer:

The answer to your question is 20 times

Step-by-step explanation:

Data

United States' population = 3 x 10⁸

Kazakhstan's population = 1.5 x 10⁷

Process

1.- To solve this problem, just divide the United States' population by  Kazakhstan's population.

                      3 x 10⁸ / 1.5 x 10⁷ = 20

2.- Conclusion

The population of the United States is 20 times greater than Kazakhstan's population.

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Determine the slope-intercept form of the equation of the line parallel to y = x + 11 that passes through the point (–6, 2). y =
Vika [28.1K]

Answer:

y = x+12

Step-by-step explanation:

Parallel => <u><em>This means it has the same slope as this one.</em></u>

Slope = m = 1

Now,

Point = (x,y) = (-6,2)

So, x = -6, y = 2

<u><em>Putting this in slope intercept form to get b</em></u>

y = mx+b

=> 2 = (1)(-6) + b

=> b = 2+6

=> b = 8

<u><em>Now putting m and b in the slope-intercept form to get the required equation:</em></u>

=> y = mx+b

=> y = x+12

6 0
3 years ago
Marshall baked two kinds of cakes. Each cake was the same size. He served 1 half of the marble cake. He served 1 third of the le
Assoli18 [71]

Answer:

He served 3/6 of the lemon cake and 2/6 of the marble cake. He served 1 more piece of the lemon cake than marble cake.

Step-by-step explanation:

A third of 6 is 2 and half of six is 3.

8 0
2 years ago
Solve for t. You must write your answer in fully simplified form.<br> -19 = 7t
a_sh-v [17]

Answer:

-2.71

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
. Two bicyclists, Sarah and Emily, depart from the same location. Sarah heads N55°E at an average speed of 6 km/hr. Emily heads
Liula [17]

Answer:

The distance between them after 30 minutes is 6.5 km.

Step-by-step explanation:

Speed = \frac{distance}{time}

Sarah's speed = 6 km/hr = 1.6667 m/s

Emily's speed = 10 km/hr = 2.7778 m/s

The measure of angle between their bearings = 105^{o}

After 30 minutes (1800 seconds);

distance = speed x time

Sarah would have covered a distance = 1.6667 x 1800

                               = 3000 m

                               = 3 km

Emily would have covered a distance = 2.7778 x 1800

                               = 5000 m

                               = 5 km

The distance between them, a, can be determined by applying the cosine rule;

a^{2} = b^{2} + c^{2} - 2bcCos A

   = 5000^{2} + 3000^{2} -2(5000 x 3000) Cos 105

   = 5000^{2} + 3000^{2} -2(5000 x 3000) x (-0.2588)

   = 2.5 x 10^{7} + 9 x 10^{6} + 7764000

   = 41764000

a = \sqrt{41764000}

  = 6462.5073

a = 6462.5 m

The distance between them after 30 minutes is 6.5 km.

4 0
2 years ago
2 complementary angles are in the ratio 7:8.find the angles
slavikrds [6]
Complementary angles add up to 90 degrees
7:8....added = 15

7/15 * 90 = 630/15 = 42 <== one angle is 42 degrees
8/15 * 90 = 720/15 = 48 <== other angle is 48 degrees
3 0
3 years ago
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