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1 year ago

6

Several poles, that were 0.4 meters in length, were attached end to end to form a pole that was 150 meters long. How many poles,

0.4 meters in length, were attached?

1 answer:

sertanlavr [38]1 year ago

8 0

So for this equation you would divide 150 by 0.4
150/0.4= 375 poles

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What is the slope of the line represented by the equation y = = 4x+12<br> 2<br> N/P

Elena L [17]

Answer:

4/1

Step-by-step explanation:

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3 years ago

1. Let f(x) = x + 3 and g(x) = 3x + 5. Find f(g(4)) - g(f(4)) 2. Let f(x) = 5x^2 - 5. What is f(f(x))? 3. Let f(g(x)) = 3x + 3 a

ludmilkaskok [199]

Answer:

1. f(g(4)) - g(f(4)) = -6

2. f(f(x)) = 125x^4 - 250x^2 + 120

3. a + b = 0

4. g(4) = -9

Step-by-step explanation:

1.

First we need to find f(4) and g(4):

f(4) = 4 + 3 = 7

g(4) = 3*4 + 5 = 17

Then, we find g(f(4)) = g(7):

g(7) = 3*7 + 5 = 26

And we find f(g(4)) = f(17):

f(17) = 17 + 3 = 20

so f(g(4)) - g(f(4)) = 20 - 26 = -6

2.

To find f(f(x)), we use the value of f(x) for every x in f(x):

f(f(x)) = 5*(f(x))^2 - 5 = 5*(5x^2 - 5)^2 - 5 = 5*(25x^4 - 50x^2 + 25) - 5

f(f(x)) = 125x^4 - 250x^2 + 120

3.

To find f(g(x)), we use the value of g(x) for every x in f(x):

f(g(x)) = g(x) + 6 = ax + b + 6 = 3x + 3

ax + (b+6) = 3x + 3 -> a = 3 and b = -3

a + b = 3 - 3 = 0

4.

If we assume g(x) = ax + b, we have:

g(f(x)) = a*(2x - 3) + b = 2ax - 3a + b = 5 - 4x

2a = -4 -> a = -2

-3a + b = 5

6 + b = 5 -> b = -1

g(x) = -2x - 1

g(4) = -2*4 - 1 = -9

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3 years ago

Rachel runs 4 miles in 23 minutes. How many miles does she run per minute?

KIM [24]

Answer:

To calculate how many total miles Rachel runs per minute, setting up a unit rate, that is a rate with a denominator of 1, would be helpful.

Step-by-step explanation:

Use the current problem to determine a rate.

23 minutes/4 miles

Now, set up a unit rate.

1 minute/<em>x </em>miles = 23 minutes/4 miles

To solve for <em>x, </em>we can use simple division strategies. We divide 23 by 23 to receive 1 minute. Likewise, dividing the current milage by 23 would wield the correct unit rate. To do this, divide 4 by 23.

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Finally, simplify your answer to receive 0.17.

Therefore, Rachel runs ~0.17 miles per minute. (Note that this answer is only a rounded answer of her actual milage per minute)

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3 years ago

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Answer: 1.091 which is approximately 1 word per second

Step-by-step explanation:

Jack can text 180 words in 2 minutes and 45 seconds. We would convert 2 minutes to seconds

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x seconds = 2 minutes

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2 minutes 45seconds = 120+45 = 165 seconds

This means Jack can text 180 words in 165 seconds

Let's find his unit rate in texts per second

if jack texts 180 words in 165 seconds

Then jack texts y words in 1 second

165y = 180

y = 180/165= 1.091 words per second

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3 years ago

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lukranit [14]

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Answer:

The (piece, perceived values) are ...

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Jamal, (1, 39%)
Monique, (2, 33%)

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We assume the values and questions are as shown in the attachment.

1. After the division, Cindy bids only on piece 3, and Jamal bids only on piece 1. Hence the appropriate final division is ...

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