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bonufazy [111]
3 years ago
5

WORTH 19 POINTS!!

Mathematics
1 answer:
marta [7]3 years ago
8 0
You have to make a cos graph that starts its minimum and of -2, has an amplitude of 10, a period of 10 and  a maximum of 18.
I decided to use a cos graph since cos graphs start at their minimum or maximum unlike a sine graph that starts halfway between the minimum and maximum.  You also know the amplitude has to be 10 since 18+2=20 and 20/2=10.  We were also told that the water wheel completels a rotation every 10 minutes which means the period is 10 minutes.

lets start of with a regular cos(x) graph.  This starts on its maximum instead of minimum so we have to multiply it by -1 to get -cos(x) which does start on its minimum.

-cos(x) has an amplitude of 1 instead of 10, to fix that we multiply it by 10 to get -10cos(x) which has an amplitude of 10.
 
-10cos(x) has a period of 2π instead of 10, to fix this we multiply the x by 2π/10 to get -10cos((π/5)x) which now has a period of 10.

-10cos((π/5)x) has a minimum of -10 and maximum of 10 instead of a minimum of -2 and maximum of 18, to fix this we add 8 to -10cos((π/5)x) to get -10cos((π/5)x)+8 which does have a minimum of -2 and maximum of 18.

Therefore the answer is y=-10cos((π/5)x)+8. x being time in minutes and and y being the height in feet.  

I hope this helps.  Let me know if anything is unclear.
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I need help solving this question
PSYCHO15rus [73]
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5 0
2 years ago
In order to determine the number of squirrels in a conservation area, a researcher catches, and marks 114 squirrels then release
vodomira [7]

Answer:

456 squirrels

Step-by-step explanation:

We have the following formula:

N = M * C / R

Where "N" is the estimated population size, "M" is the number of individuals already tagged, "C" is the total number of those caught the second time regardless of whether or not they are tagged, and "R" is the total number of tagged recaptured individuals.

Now, replacing we have:

N = 114 * 96/24

N = 456

Therefore, there are approximately 456 squirrels in the conservation area.

5 0
3 years ago
Write a whole number and a fraction greater than one to name the part filled.
san4es73 [151]

Examples of this are:
2 and \frac{6}{3}

2 and \frac{12}{6}

4 and \frac{8}{2}

I'm guessing you have a work sheet going along with this which has actual images of containers. I've attached an example - if you can post the actual work sheet you're referring to I can edit this answer to correctly reflect your specific question.

4 0
3 years ago
A tarp is used to keep the infield of a baseball field from getting wet. The infield is a square. The corners of the square tarp
Dafna11 [192]

Answer:

<h2>a. 2,025 ft</h2><h2>b. 8,100 is a perfect square. </h2>

Step-by-step & explanation:

<em>It is a perfect square because if it wasn't, it wouldn't be equally a whole number when divided by 4 or 2,025 exactly on ALL 4 sides and when finding the root of 8,100 it's a perfect 90.  As you should already know a perfect square has a given 90 degree angle.</em>

Tarp = 8,100 sq ft.

- anchored corners at the base.

- Square infield.

Well if there's 4 bases, divide 8,100 by 4.

8,100 / 4 = 2,025

One base to another base is 2,025 ft.

8 0
3 years ago
Please please help me !!
stira [4]

Answer:

your answer is (-12,2)

3 0
3 years ago
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