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Marrrta [24]
4 years ago
9

Lisa is loading 75 chairs into a truck. If h represents the number of chairs that she can carry in one load, which

Mathematics
2 answers:
aksik [14]4 years ago
7 0
75-h
hope this helps
sorry if its wrong
nekit [7.7K]4 years ago
4 0
75 divided by h because if she can carry 75 chairs in one load, you will need to divide to figure out how many loads she has to complete so all the chairs can be brought in.
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Chase consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Chase's body
PIT_PIT [208]

Answer:

(a) The 5-hour decay factor is 0.5042.

(b) The 1-hour decay factor is 0.8720.

(c) The amount of caffeine in Chase's body 2.39 hours after consuming the drink is 149.112 mg.

Step-by-step explanation:

The amount of caffeine in Chase's body decreases exponentially.

The 10-hour decay factor for the number of mg of caffeine is 0.2542.

The 1-hour decay factor is:

1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720

(a)

Compute the 5-hour decay factor as follows:

5-hour\ decay\ factor=(0.8720)^{5}\\=0.504176\\\approx0.5042

Thus, the 5-hour decay factor is 0.5042.

(b)

The 1-hour decay factor is:

1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720

Thus, the 1-hour decay factor is 0.8720.

(c)

The equation to compute the amount of caffeine in Chase's body is:

A = Initial amount × (0.8720)<em>ⁿ</em>

It is provided that initially Chase had 171 mg of caffeine, 1.39 hours after consuming the drink.

Compute the amount of caffeine in Chase's body 2.39 hours after consuming the drink as follows:

A = Initial\ amount \times (0.8720)^{2.39} \\=[Initial\ amount \times (0.8720)^{1.39}] \times(0.8720)\\=171\times 0.8720\\=149.112

Thus, the amount of caffeine in Chase's body 2.39 hours after consuming the drink is 149.112 mg.

4 0
3 years ago
Describe how to graph a point at (2, 5)
fomenos

Answer:


Step-by-step explanation:

Start on the x-axis, the horizontal one Start at (0,0), where the two lines meet. Then go over to the right 2 tic marks. Then go up the y-axis, the vertical one, 5 tic marks.

4 0
3 years ago
Read 2 more answers
Forty is no greater than the difference of a number and 2
GuDViN [60]
This can be written as:
40  \leq  n - 2

"No greater than" does not necessarily mean less than, but it just means it cannot go over. So equal to or less than.

"The difference of a number and 2" can be represented as "n - 2"

If you were to solve this inequality, you would end up getting:
42  \leq  n or n  \geq  42

Hope this helps! :)
8 0
3 years ago
Read 2 more answers
Find all exact solutions on [0, 2π). (Enter your answers as a comma-separated list.)
nalin [4]

Answer:

0, \dfrac{\pi}{6}, \dfrac{5\pi}{6},  \pi

Step-by-step explanation:

Given the equation:

sin(x)-2sin(x) tan(x)=0

To find:

The solutions of given equation in the range [0, 2\pi) i.e. 0 can be in the answer but 2\pi can not be there in the answer.

Solution:

Taking tan(x) common, we get:

tan(x) (1-2sin(x))=0

The solutions can be given as:

tan(x) = 0 OR 1-2sin(x) = 0

Let us solve both the equations one by one:

First equation:

tan(x) = 0\\ \Rightarrow x=0, \pi

Second equation:

1-2sin(x) = 0\\\Rightarrow 2sinx=1\\\Rightarrow sinx=\dfrac{1}{2}\\\Rightarrow x = \dfrac{\pi}{6}, \dfrac{5\pi}{6}

Therefore, the answers as a comma separated list are:

0, \dfrac{\pi}{6}, \dfrac{5\pi}{6},  \pi

7 0
3 years ago
What is the is f(x)=8x^2+4x written in the vertex form?
erastovalidia [21]

Answer:

f(x)=8-4

Step-by-step explanation:

f(x) = 8 (x+1/4)^2-1/2

f(x) = 8 – (x+1/4)^2-1/16

f(x) = 8 – 2

f(x) = 8 – 4

7 0
3 years ago
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