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Anni [7]
4 years ago
8

A rectangle has an area of 24x^3 and a length of 4x^2 meters. what is the width of the rectangle

Mathematics
1 answer:
lys-0071 [83]4 years ago
6 0

Answer:

  6x

Step-by-step explanation:

The area is given by the formula ...

  A = LW

Fill in the given values and solve for width.

  24x^3 = (4x^2)W

  W = (24x^3)/(4x^2) = 6x

The width of the rectangle is 6x.

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Write an equation of the line passing through the given point ​(5​,−5​) and having the given
pickupchik [31]

Answer:

y=-9x+40

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=-9(x-5)

y+5=-9x+45

y=-9x+45-5

y=-9x+40

5 0
3 years ago
Here is the real problem ! Giving 30 points!
Sergeeva-Olga [200]

Answer:

A. the one in the table because after two hours it is the size of the one that began at 20 cm

B. the one describes by the graph because after 10 hours it would be 0 cm and the one described by the equation would be 5 cm

C. the one described by the graph will burn out in 10 hours as shown in the graph and the one described by the equation will burn out in 12 hours

Step-by-step explanation:

i hope this helps

3 0
3 years ago
Read 2 more answers
Given the definitions of f(x) and g(x) below, find the value of g( f(-5)).
tensa zangetsu [6.8K]

Answer:

we conclude that:

  • g(f(-5)) = 30

Step-by-step explanation:

Given

f(x) = x+9

g(x) = x² + 7x – 14

To determine

g(f(-5)) = ?

First, we need to find f(-5)

f(x) = x+9

substitute x = -5

f(-5) = (-5)+9

f(-5) = -5+9

f(-5) = 4

so

g(f(-5)) = g(4)

Now, we need to find g(4)

g(x) = x² + 7x – 14​

substitute x = 4

g(4) = (4)² + 7(4) - 14

g(4) = 16 + 28 - 14

g(4) = 30

i.e.

g(f(-5)) = g(4) = 30

Therefore, we conclude that:

  • g(f(-5)) = 30
7 0
3 years ago
Quit Smoking: The New England Journal of Medicine published the results of a double-blind, placebo-controlled experiment to stud
Juliette [100K]

Answer:

Option A is correct.

In this experiment the nicotine treatment had a higher success rate than the placebo group, but the improvement was less than 1%. It was exactly 0.8%

Step-by-step explanation:

In a drug treatment experiment, there are usually two groups.

- The treatment group; they get the full dosage and content of the drug to be tested.

- The placebo group; here, they sort of serve as the control group. They get the dosage of the drug to be tested with the active ingredient of the drug removed.

Double blind means that both the participants and the conductors do not know which members belong to which treatment group. It is used to increase the randomness of the sampling technique.

For this experiment, nicotine patches, antidepressants and bupropion are used to help people quit smoking.

It is explained that the the rate at which the participants quit smoking is recorded and at the end, a sample mean is obtained.

The difference in sample means of both groups is then obtained by solving

(Rate of quit smoking for the treatment group) - (Rate of quit smoking for the placebo group)

This difference was obtained to be positive 0.8%. It is evident that this figure represents a higher success rate for the treatment group than the placebo group, but the improvement was less than 1%. (0.8%).

All the other options are either incorrect or not clearly stated in the description ofthe experiment.

- In this experiment, the placebo group had a higher success rate than the nicotine group by 0.8%.

This is obviously not true, it is the reverse of the true statement.

- Nicotine patches will produce a slightly higher success rate when compared to a placebo, but the difference is not statistically significant.

This started with a true statement bit it ended with a statement we cannot confirm because we don't know the sample size for either of the groups involved in the experiment. So, it isn't totally true.

- Nicotine patches and the antidepressant bupropion work equally well on "quit smoking" rates.

They don't have an equal rate of working. The nicotine slightly works better as stated in the question.

Hope this Helps!!!

5 0
3 years ago
Find the value of h in the triangle
sasho [114]
The triangles ABC and ADC are similar.
Therefore
\dfrac{h}{12}=\dfrac{16}{20}\\\\\dfrac{h}{12}=\dfrac{4}{5}\ \ \ |\cdot12\\\\h=\dfrac{48}{5}\\\\h=9.6\ m

7 0
3 years ago
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