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3241004551 [841]
3 years ago
14

Find the prime factorization for the number 48 expressed in exponential notation.Thank you.

Mathematics
1 answer:
STatiana [176]3 years ago
6 0
48
12 * 4
6 * 2 * 2 * 2
3 * 2 * 2 * 2 * 2
it should be 3 * 2^4...but that is not an answer choice

3 * 2^2 * 4 is ur answer....apparently they didn't factor the 4


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A certain car rental location charges a daily fee as well as a mileage charge. On one trip a businessman rented a car for the da
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Answer:

x\approx 267\ miles

Step-by-step explanation:

<u>Linear Modeling</u>

Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

f(x)=mx+b

For the problem at hand, we must pick the adequate variables according to the data provided.

The question states the charge for renting a car is a function of the mileage. It also provides two points from which we can build our model. Let's set the following variables:

c = the charge for renting a car in dollars

x = the distance driven by the businessman in miles

Representing the ordered pair as (x,c), we have the points: (150,79) and (65,63.70). Our model will be expressed as:

c = mx+b

We must find the values of m and b with the data provided. Substituting the first point:

79 = 150m+b

Substituting the second point:

63.70 = 65m+b

Both equations form the following system:

\left\{\begin{matrix}150m+b=79\\ 65m+b=63.70 \end{matrix}\right.

Subtracting both equations:

150m-65m=79-63.70

Note the variable b was canceled out in the operation, leaving only the variable m to solve. Joining like terms:

85m=15.3

Solving:

m=15.3/85=0.18

From the first equation

79 = 150m+b

Solving for b:

b=79-150m=79-150(0.18) = 52.

The model for the problem is:

c=0.18x+52

Now we need to calculate how many miles (x) could be driven for c=$100. From the equation above, substitute c=100

100=0.18x+52

Solve for x:

0.18x+52=100

0.18x=100-52=48

x=48/0.18=266.67

Rounding to the closest integer:

\boxed{x\approx 267\ miles}

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How much trophies does Jared have(
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3 years ago
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Carlos received 84 votes. That was 3 of every 7 votes cast in the class president election. How many votes were cast?
Step2247 [10]
336 votes total.

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5 0
3 years ago
Ziyad is hoping to start his own lawn care business in Gettysburg, PA. Gettysburg has about 2,400 households. Ziyad went to
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Answer:

1380 households in Gettysburg are likely interested in using lawn care services

Step-by-step explanation:

To solve this question, we find the sample proportion and estimate for the entire population.

Sample proportion of households in Gettysburg that are likely to be interested in using lawn care services?

92 of 92 + 51 + 17 = 160 households.

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Based on his results, how many households in Gettysburg are likely interested in using lawn care services?

Sample proportion of 0.575.

For the entire population of 2400 households:

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1380 households in Gettysburg are likely interested in using lawn care services

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