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TiliK225 [7]
3 years ago
12

There are 3 counselors for every 45 students enrolled in a camp. What is the maximum number of students allowed if there are 10

counselors
Mathematics
2 answers:
Butoxors [25]3 years ago
5 0
150 students i believe
yulyashka [42]3 years ago
4 0
135 students, filler to make the answer longer
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Factor/simply x^2-3x+9/4<br> (Please explain also)
Burka [1]

Answer: PSR (Perfect Square Rule) = (x-3/2)^2

The you simplify.... = x^2 - 3x + 9/4

Step-by-step explanation: Factor by using the PSR (Perfect Square Rule). Then you have to simplify.

Hope this helps you out! ☺

7 0
3 years ago
What do both of these functions have in common? f(x)=5e^x+5 g(x)=0.5(x-5)^2-5
kondor19780726 [428]

Answer:

They have the same vertical shift. -Apex

Step-by-step explanation:

3 0
3 years ago
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Use a graphing utility to graph the function and the damping factor of the function in the same viewing window.
Bas_tet [7]

Answer:

The function touches the damping factor

at x=\frac{(4n-3)\pi}{2} and x=\frac{(4n-1)\pi}{2}

The x-intercept of f(x) is

at x=n\pi

Step-by-step explanation:

Given function is f(x)=e^{-3x} sin(x) and damping factor as y=e^{-3x} and y=(-1)e^{-3x}

To find when function touches the damping factor:

For f(x)=e^{-3x} sin(x) and y=e^{-3x}

Equating the both the equation,

e^{-3x} sin(x)=e^{-3x}

sin(x)=1

x=\frac{(4n-3)\pi}{2}

For f(x)=e^{-3x} sin(x) and y=(-1)e^{-3x}

Equating the both the equation,

e^{-3x} sin(x)=(-1)e^{-3x}

sin(x)=(-1)

x=\frac{(4n-1)\pi}{2}

Therefore, The function touches the damping factor x=\frac{(4n-3)\pi}{2} and x=\frac{(4n-1)\pi}{2}

To find x-intercept of f(x):

For x-intercept, y=0

f(x)=e^{-3x} sin(x)

y=e^{-3x} sin(x)

e^{-3x} sin(x)=0

Hence, e^{-3x} is always greater than zero.

Therefore,sin(x)=0

x=n\pi

Thus,

The x-intercept of f(x) is at x=n\pi

7 0
3 years ago
How far is 75% of a 2000 km trip
11Alexandr11 [23.1K]
2000 * 0.75 = 1,500 km
4 0
2 years ago
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A man climbing a banana tree. Which sentence achieves the purpose of telling the man that what he is doing is dangerous? How do
hichkok12 [17]

Answer:

Be careful!

Step-by-step explanation:

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2 years ago
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