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2 years ago

5

The number of hours, h, that Mr. Hampton works varies directly with the number of tasks, t, he has to perform. If he has 6 tasks

to perform and works for 15 hours, what is k the constant of variation?

1 answer:

olga2289 [7]2 years ago

4 0

i think its 2.5 because 15/6= 2.5 so 2.5t=h and the equation is kt=h so 2.5 makes the most sense.

I hope this helps

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What number should be added to the expression x^2 + 2x to change it into a perfect square trinomial?

horrorfan [7]

$The\ perfect\ scuare:(a+b)^2=a^2+2ab+b^2\\------------------\\\\x^2+2x\to a=x;\ 2ab=2xb\to b=1\\\\therefore\\\\x^2+2x\cdot1+1^2=x^2+2x+\boxed{1}\leftarrow\boxed{A}$

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3 years ago

Write a paragraph response to the math prompt. (5-6 complete sentences) Include a topic sentence, supporting sentences and concl

denpristay [2]

Answer:

calculus, geometry, arithmetic among a few

Step-by-step explanation:

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Scoring in ice skating involves arithmetic operation when an individual element is assigned points and judged on performance level( triple axle is 3 points but overall performance and artistry is measured by the judges).

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3 years ago

Madison's family traveled 5 7 of the distance to her uncle's house on Saturday. They traveled 1 2 of the remaining distance on S

Pepsi [2]

Answer:

The fraction of the total distance to her uncle's house that was traveled on Sunday is 1/7

Step-by-step explanation:

Let the total distance from Madison house to her uncle is 1 unit

She travels 5/7th of the total distance on Saturday

Remaining distance = $1-\frac{5}{7} = \frac{2}{7}$

She travels 1/2 of the remaining distance on Sunday.

Hence, the fraction of the total distance to her uncle's house that was traveled on Sunday is 1/2 * 2/7 = 1/7

3 0

3 years ago

the equation of a wave is given as y=0.5sin(3πx + 50πt). when x and y are in metres and t is in seconds. Find the amplitude, the

Crazy boy [7]

if they are optional

all are correct

<h3>step by step instructions:</h3>

Correct option is

D

All are correct

the equation of a given progressive wave is

y=5sin(100πt−0.4πx) ......(i)

The standard equation of a progressive wave is

y=asin(ωt−Kx) ...(ii)

Comparing (i) and (ii), we get

a=5m,ω=100π rad s

−1

,k=o.4πm

−1

도움이 되기를 바랍니다. :)

좋은 하루 되세요 :)

가장 똑똑한 것으로 표시 :)

4 0

3 years ago

What is the total number of digits required in numbering a book that has 1724 pages?

Reptile [31]

Answer:

5,789

Step-by-step explanation:

I got 5,789 because there are 9 one digit numbers. 1-9 -> 9x1=9. There are 90 two digit numbers. (10-99)-> 90x2=180. There are 900 three digit numbers. (100-999)-> 900x3=2700. There are 725 four digit numbers. (1000-1724)-> 724x4= 2900. Then, I added 9+180+2700+2900=5789.

In conclusion, the total number of digits required in numbering a book that has 1724 pages is 5789.

8 0

3 years ago