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3 years ago

Someone help me pls i need to pass summer school

Mathematics

2 answers:

scoray [572]3 years ago

5 0

Answer:

Step-by-step explanation:

The be the inverse function the domain {4,5,6,7} becomes the range and the range {14,12,10,8} becomes the domain

14 → 4

12 →5

10 →6

8 →7

aleksandr82 [10.1K]3 years ago

3 0

16 to the 0 power 16 to the 0 power 16 to the 0 power 16 to the 0 power 16 to the 0 power

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If the work required to stretch a spring 2 ft beyond its natural length is 6 ft-lb, how much work is needed to stretch it 6 in.

mel-nik [20]

Answer:

0.375 feet-lb

Step-by-step explanation:

We have been given that the work required to stretch a spring 2 ft beyond its natural length is 6 ft-lb. We are asked to find the work needed to stretch the spring 6 in. beyond its natural length.

We can represent our given information as:

$6=\int\limits^2_0 {F(x)} \, dx$

We will use Hooke's Law to solve our given problem.

$F(x)=kx$

Substituting this value in our integral, we will get:

$6=\int\limits^2_0 {kx} \, dx$

Using power rule, we will get:

$6=\left[ \frac{kx^2}{2} \right ]^2_0$

$6=\frac{k(2)^2}{2}-\frac{k(0)^2}{2}$

$6=\frac{4k}{2}-0\\\\k=3$

We know that 6 inches is equal to 0.5 feet.

Work needed to stretch it beyond 6 inches beyond its natural length would be $\int\limits^{0.5}_0 {kx} \, dx =\int\limits^{0.5}_0 {3x} \, dx$

Using power rule, we will get:

$\int\limits^{0.5}_0 {3x} \, dx = \left [\frac{3x^2}{2}\right]^{0.5}_0$

$\frac{3(0.5)^2}{2}-\frac{3(0)^2}{2}\Rightarrow \frac{3(0.25)}{2}-0=\frac{0.75}{2}=0.375$

Therefore, 0.375 feet-lb work is needed to stretch it 6 in. beyond its natural length.

3 0

3 years ago

Given the relation R = {(-2, 3), (a, 4), (1,9), (0,7)}.

aniked [119]

Answer:

The answer would be 4

Step-by-step explanation:

you can’t have repeating numbers in a function.

4 0

3 years ago

You placed a 15% down payment on a new home. Given that the amount of the down payment was $36,782.12, determine the price of th

Soloha48 [4]

The correct answer for this question is this one:

You placed a 15% down payment on a new home. Given that the amount of the down payment was $36,782.12, determine the price of the home. Round your answer to the nearest cent.
a. $147,128.48
b. $183,910.60
c. $245,214.13
d. $367,821.20
Hope this helps answer your question and have a nice day ahead.

7 0

3 years ago

Read 2 more answers

X varies inversely as y^2, and x = 4 when y = 10. Find x when y = 2.

Ierofanga [76]

I believe it is A. x=16

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4 years ago

If marching bands vary from 21 to 49 player, which numbers of players can be arranged in the greatest number of rectangles?

ANEK [815]

Hmm. a rectangle?ok then, least number of rectangles needed-6.
. . .
. . . ( rectangle)
so, 6 x 8=48(greatest multiple of 6 from between 21 and 49)
48 players are most, so 8 rectangles

5 0

3 years ago