All categories

3 years ago

Simplify the quotient 4.5 x 10^3/9 x 10^7 . Write your answer in scientific notation. Show your work.

1 answer:

8 0

4.5*10^3/9*10^7=4.5/9*10^3*10^7=0.5*10^3*10^7. a^b*a^c=a^(b+c), so 10^3*10^7=10^(3+7)=10^10. 0.5*10^10=5*10^9, since we want to write in scientific notation where the leading number is bigger than one and smaller than 10.

You might be interested in

Phoenix [80]

Answer:

C. Graph c

Step-by-step explanation:

I got it correct

6 0

3 years ago

Pre image ABCD was dilated to be image A’B’C’D, where the center of dilation is the origin. What scale factor was used in the di

ArbitrLikvidat [17]

Answer:

The scale factor is 0.25

Step-by-step explanation:

we know that

The dilation is a non-rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

ABCD and A'B'C'D' are similar

therefore

$\frac{A'B'}{AB}=\frac{B'C'}{BC}=\frac{C'D'}{CD}=\frac{A'D'}{AD}$

Find the scale factor

Looking at the graph

we have

$A'B'=1\ unit\\AB=4\ units$

Let

z ---> the scale factor

$z=\frac{A'B'}{AB}$

substitute the values

$z=\frac{1'}{4}=0.25$

8 0

3 years ago

Help please thank you very much

Karo-lina-s [1.5K]

Answer:

1.5 miles per day

Step-by-step explanation:

Mr. Turner ran 1.5 miles per day, 4.5 miles / 3 = 1.5 miles.

7 0

3 years ago

Read 2 more answers

The graph below shows the number of cups of lemonade that Jermaine and Amelia sold using five different recipes.

Illusion [34]

Answer:

They sold the least lemonade with the recipe that used 7 lemons.

Step-by-step explanation:

A function shows the relationship between a dependent variable and an independent variable. A dependent variable changes as other variables change while an independent variable.

From the function given, the dependent variable is the cups sold which i dependent on the lemons used (independent variable).

From the points, when the lemons used was 3 the cups sold was 37, when the lemons used was 4 the cups sold was 32, when the lemons used was 5 the cups sold was 40, when the lemons used was 6 the cups sold was 35 and when the lemons used was 7 the cups sold was 26.

Hence, They sold the least lemonade with the recipe that used 7 lemons. and They sold the most lemonade with the recipe that used 5 lemons.

7 0

3 years ago

Read 2 more answers

A random variable x is uniformly distributed over the interval (-4, 6). Find the standard deviation of x. (Note: Uniform distrib

Pachacha [2.7K]

Answer:

The standard deviation of x is 2.8867

Step-by-step explanation:

The standard deviation of variable x that follows a uniform distribution is calculated as:

$s = \sqrt{\frac{(b-a)^{2} }{12} }$