HELP! Simplify<br><br>3/14<img src="https://tex.z-dn.net/?f=%5Csqrt%7B98%7D" id="TexFormula1" title="\sqrt{98}" alt="\sqrt{98}"

A jetliner is traveling at 500 mph. How far does it travel in 10 seconds. I am trying to calculate how many cell towers a call w

Shkiper50 [21]

To solve this problem, we are going to use a method called dimensional analysis. This involves canceling out units by multiplying by fractions equivalent to 1. We begin with our given information, that the jet flies 500 miles in one hour, and we multiply that by the fraction 1 hour/60 minutes, which is equivalent to 1. We also have to multiply by 1 minute/60 seconds, because we are looking for the amount of miles the jet flies in seconds.

500 miles/1 hour * 1 hour/60 minutes * 1 minute/60 seconds = 500 miles/3,600 seconds

Now that we have our equivalent in seconds, we must multiply by 10 seconds in order to find our answer.

500 miles/3,600 seconds * 10 seconds = approximately 1.3888 miles

Therefore, the jet flies about 1.39 miles in 10 seconds.

Hope this helps!

5 0

2 years ago

Amy has 630 stickers that are organized into 42 packs. She plans to give 3 packs to her friends. How many stickers is she giving

elena-14-01-66 [18.8K]

Answer:

45 stickers

Step-by-step explanation:

630/42 = 15 (represents the number of stickers in each pack)

Since there ar 3 packs, we multiply 15 by 3.

3 x 15 = 45

45 stickers.

tadah!

8 0

2 years ago

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mr.rogers bought a computer that cost 2,500. the sales tax rate was 7% how much did he pay for the computer

Anna [14]

Answer:

it's answered...............

3 0

2 years ago

What scale factor was applied to the first rectangle to get the resulting image?

madam [21]

Answer:

The scale factor for the resultant rectangle is $\frac{2}{5}$ units.

Step-by-step explanation:

Given two rectangles with sides 3 units and 7.5 units.

We have to find the scaling factors so that we can obtain bigger rectangle of 7.5 units from smaller rectangle of 3 units.

Scale factor is defined as the ratio of corresponding side of given figure to the corresponding side of resulting figure.

That is $\text{Scale factor}=\frac{\text{length of side of given figure}}{\text{length of side of resulting figure}}$

Here, $\text{Scale factor}=\frac{\text{length of side of given rectangle }}{\text{length of side of resulting rectangle}}$

$\text{Scale factor}=\frac{3}{7.5}=\frac{2}{5}$

Hence, the scale factor for the resultant rectangle is $\frac{2}{5}$ units.

4 0

2 years ago

D. Evaluate each of the following. (5 points)

Harrizon [31]

Problem 1

f(x) = x + 1/x

f(1) = 1 + 1/1

f(1) = 1 + 1

f(1) = 2

Answer: 2

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Problem 2

(f o f)(1) = f( f(1) )

(f o f)(1) = f( 2 )

(f o f)(1) = 2 + 1/2

(f o f)(1) = 4/2 + 1/2

(f o f)(1) = 5/2

Answer: 5/2

============================================

Problem 3

(f o f o f)(1) = f( f(f(1)) )

(f o f o f)(1) = f( (f o f)(1) )

(f o f o f)(1) = f( 5/2 )

(f o f o f)(1) = 5/2 + 1/(5/2)

(f o f o f)(1) = 5/2 + 2/5

(f o f o f)(1) = 25/10 + 4/10

(f o f o f)(1) = 29/10

Answer: 29/10

============================================

Problem 4

(f o f o f o f)(1) = f( f(f(f(1)) )

(f o f o f o f)(1) = f( (f o f o f)(1) )

(f o f o f o f)(1) = f( 29/10 )

(f o f o f o f)(1) = 29/10 + 1/(29/10)

(f o f o f o f)(1) = 29/10 + 10/29

(f o f o f o f)(1) = 841/290 + 100/290

(f o f o f o f)(1) = 941/290

Answer: 941/290

============================================

Problem 5

(f o f o f o f o f)(1) = f( f(f(f(f(1)))) )

(f o f o f o f o f)(1) = f( (f o f o f o f)(1) )

(f o f o f o f o f)(1) = f( 941/290 )

(f o f o f o f o f)(1) = 941/290 + 1/(941/290)

(f o f o f o f o f)(1) = 941/290 + 290/941

(f o f o f o f o f)(1) = 885481/272890 + 84100/272890

(f o f o f o f o f)(1) = 969581/272890

Answer: 969581/272890

4 0

3 years ago

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HELP! Simplify3/14