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alexdok [17]
2 years ago
9

. Below are sinusoidal regressions created from the average monthly low temperatures in Iqaluit, Nunavut and Nairobi, Kenya. Com

pare the amplitudes of these functions – what do they mean in this context? Give one or two sentences that describe the implications of these two amplitude values. (2 marks)  Iqaluit: = 18.63 sin 0.50( + 170.45) − 13.34  Nairobi: = −1.50 sin 0.77( + 51.25) + 12.86
88 points!!!!
Mathematics
2 answers:
Klio2033 [76]2 years ago
8 0

Answer:

Step-by-step explanation:

aleksley [76]2 years ago
4 0

Answer:

ghufvhyggggyggmi jalisco oral iyer

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A container in the shape of a square-based prism has a volume of 2744 cm'. What dimensions give the
Vinvika [58]

Answer:

The dimensions that give the minimum surface area are:

Length = 14cm

width = 14cm

height = 14cm

And the minimum surface is:

S = 1,176 cm^2

Step-by-step explanation:

A regular rectangular prism has the measures: length L, width W and height H.

The volume of this prism is:

V = L*W*H

The surface of this prism is:

S = 2*(L*W + H*L + H*W)

If the base of the prism is a square, then we have L = W

Then the equations become:

V = L*L*H = L^2*H

S = 2*(L^2 + 2*H*L)

We know that the volume of the figure is 2744 cm^3

Then:

V = 2744 cm^3 = H*(L^2)

In this equation, we can isolate H.

H = (2744 cm^3)/(L^2)

Now we can replace this on the surface equation:

S = 2*(L^2 + 2*L* (2744 cm^3)/(L^2))

S = 2*L^2 + 4(2744 cm^3)/L

Now we want to minimize the surface area, then we need to find the zeros of the first derivative of S.

S' = 2*(2*L) - 4*(2744 cm^3)/L^2

This is equal to zero when:

0 = 2*(2*L) - 4*(2744 cm^3)/L^2

0 = 4*L*L^2 - 4*(2744 cm^3)

4*(2744 cm^3) = 4*L^3

2744 cm^3 = L^3

∛(2744 cm^3) = L = 14cm

Then the length of the base that minimizes the surface is L = 14.

Then we have:

H = (2744 cm^3)/(L^2) = (2744 cm^3)/(14cm)^2 = 14cm

Then the surface is:

S = 2*(L^2 + 2*L*H) = 2*( (14cm)^2 + 2*(14cm)*(14cm)) = 1,176 cm^2

8 0
2 years ago
Pls help me!! thank you!!
klasskru [66]

Full working out shown from step 1 to last.

follow it and you get 24 square feet as final answer. Good luck in other questions!!!

3 0
2 years ago
How can I find the slope to this I need help​
Dmitrij [34]

Answer:

Your slope is -1

Step-by-step explanation:

Find the change in x and the change in y and put it in change in y over change in x.

Δx = -1 - -2 = 1

Δy = -1 - 0 = -1

Slope = rise over run = Change in y over change in x =  Δy/Δx = -1/1

Therefore the slope is -1/1 which is written as just -1

7 0
3 years ago
Can I get help on 6 and 7
Aloiza [94]
The cost depend on the number pencils, so the cost is the y and # of pencils is the x
Same as for question 7
To graph, the length depend on the time, so length is y, time is x
6. Linear
7. Not

6 0
2 years ago
I go to a baseball field and survey the people in the stands, asking what is your favorite sport. Is this a fair sample of peopl
Alinara [238K]

Answer:

No.

Step-by-step explanation:

If you go to a baseball park and ask what their favorite sport is most will probably say baseball. Just as if you go to a basketball court, most would respond with basketball as their favorite sport. I suggest not going to anything related to sports and asking random people.

4 0
2 years ago
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