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viva [34]
3 years ago
10

The area of a square mat is 125 square inches. The best approximation of its length is inches. If the length of each side is inc

reased by another inch, the area would increase by approximately square inches.
Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
6 0

The area of a square mat is 125 square inches. The best approximation of its length is (11) inches. If the length of each side is increased by another inch, the area would increase by approximately (24) square inches.

gtnhenbr [62]3 years ago
4 0
The area of a square is simply the side length squared and we are given that the area is 125 so:

s^2=125

s=√125

s=5√5

Now using the area equation again, and adding 1 inch to s we have:

A=(s+1)^2, and using s found above we have:

A=(5√5+1)^2

A=125+10√5+1

A=126+10√5 in^2

A≈148.36 in^2  (to nearest hundredth of a square inch)
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170 is 1/10 of 17 true or false
kobusy [5.1K]
The answer to this question would be true.

In this case, you are given a sentence containing a condition to fulfill. To answer this question, you need to understand the sentence and turn it into an equation then compare it with the condition. The equation for this question would be: 170 * 1/10= 17. 
The answer is true because the result of 170 * 1/10 is 17
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2 years ago
The number of users on a website has grown exponentially since its launch. After 2 months, there were 90 users. After 4 months,
grigory [225]

Answer:

10(3)^x

Step-by-step explanation:

The function contains the points (2,90) and (4,810). Use the general form y=abx to write two equations:

90=ab^2 and 810=ab^4

Solve each equation for a:

a=90/b^2 and a=810/b^4

Since a=a, set the other sides of the equations equal and solve for b.

90/b2=810/b4

Cross multiply, then divide and simplify as follows:

90b^4=810b^2

b^4/b^2=810/90

b^2=90

b^3

Now, use the value of b and the point (2,90) to find the value of a.

90=a(3^2)

a=10

So, substitute answers in original equation for a final answer of f(x)=10(3)^x.

8 0
3 years ago
I was at the store, and saw two sizes of avocados being sold. The regular size sold for $0.84 each. For what prices would the la
JulsSmile [24]

Answer:

The bigger avocado will be a better deal if the ratio of the sizes of the bigger one to the smaller one is less than the ratio of the prices of the bigger one to the smaller one.

Step-by-step explanation:

Given that two sizea of avocados are being sold, since the regular size is being sold for $0.84 each, let the price for the bigger avocado be $x.

Then note the following:

1. How bigger than the smaller avocado is the bigger one?

This would determine if the price for the bigger one is a bargain, or a mistake.

If for instance, the bigger avocado is double the size of the smaller one, then for any price, $x less that $1.68 (twice of $0.84), it is a bargain.

The bigger avocado will be a better deal if the ratio of the sizes bigger one to the smaller one is less than the ratio of the prices of the bigger one to the smaller one.

6 0
2 years ago
Read 2 more answers
The Wall Street Journal reported that automobile crashes cost the United States $162 billion annually (2008 data). The average c
ivanzaharov [21]

Answer:

n=(\frac{2.326(500)}{120})^2 =93.928 \approx 94

So the answer for this case would be n=94 rounded up to the nearest integer

Step-by-step explanation:

Information given

\bar X represent the sample mean

\mu population mean (variable of interest)

\sigma= 500 represent the population standard deviation

n represent the sample size  

Solution to the problem

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{s}{\sqrt{n}}    (a)

And on this case we have that ME =120 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The confidence2 level is 98% or 0.98 then the significance level would be \alpha=1-0.98=0.02 and \alpha/2=0.01, the critical value for this case would be z_{\alpha/2}=2.326, replacing into formula (b) we got:

n=(\frac{2.326(500)}{120})^2 =93.928 \approx 94

So the answer for this case would be n=94 rounded up to the nearest integer

8 0
3 years ago
The sum of the digits in a two digit number is 5. If 27 is subtracted from the number then places of the digits are interchanged
EleoNora [17]

Please find the attached photograph for your answer

8 0
2 years ago
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