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elena-14-01-66 [18.8K]
3 years ago
9

5 × 10 to the power of 22 is how many times greater than 1 × 10 to the power of 21

Mathematics
1 answer:
alekssr [168]3 years ago
4 0

Answer:

50 times greater

Step-by-step explanation:

If there are two numbers A and B, where A is greater than B,

If we want to find how many times greater A is to B, we simply divide, so that would be

A/B

Now, we have

5*10^{22}

and

1*10^{21}

We simply need to divide to find how much greater is the first number than the second number. Remember dividing numbers in scientific notation:

\frac{a*10^b}{c*10^d}\\=(\frac{a}{c})*10^{b-d}

Thus, we have:

\frac{5*10^{22}}{1*10^{21}}\\=(\frac{5}{1})*10^{22-21}\\=5*10^{1}\\=5*10\\=50

So the first number is 50 times greater than the second

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−1/2(7z+4)+1/5(5z−15)
Tanya [424]

Answer:

Step-by-step explanation:

-7z/2 - 2 + z -3

=-5 - 5z/2

5 0
3 years ago
A linear function has an x-intercept of 12 and a slope of 3/8. How does this
Alekssandra [29.7K]

Answer:

O It has the same slope and a different y-intercept.

Step-by-step explanation:

y = mx + b

m = 3/8

b = 12

y = (3/8)x + 12

---

Data in the table:  slope is the rise (y) over the run (x) between two points (assuming the data represent a linear line).

 Change in x and y between two points.  I'll choose (-2/3,-3/4) and (1/3,-3/8).

Change in y:  (-3/8 - (-3/4)) = (-3/8 - (-6/8))  =  3/8

Change in x:  (1/3 - (-2/3)) = (1/3+2/3) = 3/3 = 1

Slope = (Change in y)/(Change in x) = (3/8)/1 = 3/8

The slope of the equation is the same as the data in the table.

Now let's determine if the y-intercept is also the same (12).  The equation for the data table is y = (2/3)x + b, and we want to find b.  Enter any of the data points for x and y and then solve for b.  I'll use (-2/3, -3/4)

y = (3/8)x + b

Use (-2/3, -3/4)

-3/4 =- (3/8)(-2/3) + b

-3/4 = (-6/24) + b

b = -(3/4) + (6/24)

b = -(9/12) + (3/12)

b = -(6/12)

b = -(1/2)

The equation of the line formed by the data table is y = (3/8)x -(1/2)

Therefore, It has the same slope and a different y-intercept.

5 0
3 years ago
Look at the system of equations below. Y=2x+5 y=x+6 What is the x-coordinate of the solution to the system?
soldi70 [24.7K]

Answer:

1

Step-by-step explanation:

Given the system of equations below

y=2x+5

y=x+6

Equating the right hand side of the expressions we will have;

2x+5 = x+6

Collect the like terms;

2x - x = 6 - 5

x = 1

Hence the x-coordinate of the solution to the system is 1

4 0
3 years ago
Order least from greatest -50 44 -3 1.5
sp2606 [1]

Answer:

-50, -31.5, 44 I think

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
Four gallons of paint are used to paint 25 chairs. if each chair used the same amount of paint, how many gallons are used to pai
viktelen [127]
4 ÷ 25 = 0.16, so 0.16 of a gallon is used per chair. The answer lies between 0 and 1.
3 0
3 years ago
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