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3 years ago

What is the average rate of change in profit from Hour 5 to Hour 10?

Mathematics

1 answer:

snow_lady [41]3 years ago

8 0

Answer:

Step-by-step explanation:

so at 5 hours he was at a profit of 900 and 5 hours later he is at a profit 1500 then you can sub tract 900 from 1500 which gives you 600

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What is the geometric mean of 8 and 2?

Molodets [167]

9514 1404 393

Answer:

Step-by-step explanation:

The geometric mean of two numbers is the square root of their product.

√(8·2) = √16 = 4

The geometric mean of 8 and 2 is 4.

The geometric mean of n numbers is the n-th root of their product.

6 0

3 years ago

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 73 and 9

Naddika [18.5K]

Answer: After about 9.03 hours the temperature first reach 82 degrees.

Step-by-step explanation:

The sinusoidal function is given by :

$y=A\sin[\omega(x-\alpha)]+C$

where, A = amplitude; $\omega=\dfrac{2\pi}{period}$ , α= phase shift on the Y-axis and C = midline.

As per given,

Average daily temperature= $C=\dfrac{73+97}{2}=85$ [midline is average of upper and lower limit.]

A= 97-85 = 12

Phase shift: $\alpha=10$

Period = 24 hours;

$\omega=\dfrac{2\pi}{24}=\dfrac{\pi}{12}$

Substitute all values in sinusoidal function, we get

$y=12\sin[\dfrac{\pi}{12}(x-10)]+85$

Put y= 82, we get

$82=12\sin[\dfrac{\pi}{12}(x-10)]+85\\\\\Rightarrow\ -3= 12\sin[\dfrac{\pi}{12}(x-10)]\\\\=\dfrac{-1}{4}= \sin[\dfrac{\pi}{12}(x-10)]\\\\\Rightarrow\ \dfrac{\pi}{12}(x-10)=\sin^{-1}(\dfrac{-1}{4})\\\\\Rightarrow\ x-10=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))\\\\\Rightarrow\ x=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))+10\\\Rightarrow\ x\approx9.03$

Hence, After about 9.03 hours the temperature first reach 82 degrees.

3 0

3 years ago

Line 2 shows position data for an object that is speeding up. Use the centimeter ruler to measure the distance of each dot from

monitta

Answer:

1= 0

2= 0.5

3= 1.5

4= 3

5= 5

6= 7.5

7= 10.5

8= 14

explanation: This is the edmentum answer

7 0

3 years ago

Triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. Which statement correctly descri

love history [14]

Answer:

A. The reflection preserves the side lengths and angles of triangle . The dilation preserves angles but not side lengths.

Step-by-step explanation:

Reflection is a rigid transformation. It preserves both angles and side lengths. Dilation preserves angles, but changes all lengths by the same scale factor.

<h3>Application</h3>

The described triangle was subject to reflection, which preserves angles and lengths. It was also subject to dilation, which preserves angles, but not lengths.

The appropriate description is that of choice A.

4 0

2 years ago

You created a new playlist in 100 of your friends listened to it and shared if they likedThe new playlist or not nadhi said the

Nostrana [21]

Given

You created a new playlist in 100 of your friends listened to it and shared if they liked

The new playlist said the ratio Of people who liked the playlist to those who did not like the playlist is 75:25.

Dylan said that for every three people who like to playlist one person did not

Find out Do Nadhii and Dylan Agree or not.

To proof

As given in the question

created a new playlist in 100 of your friends listened to it and shared if they liked

new playlist said the ratio Of people who liked the playlist to those who did not like the playlist is 75:25.

Simply the ratio of people who liked the playlist to those who did not like the playlist

$= \frac{75}{25}$

$= \frac{3}{1}$

Thus

$\frac{People \ like \ the \ playlist}{People \ didnot \ like \ the\ playlist}=\frac{3}{1}$

also

Dylan said that for every three people who like to playlist one person did not

In the form of ratio written as

$\frac{People \ like \ the \ playlist}{People \ didnot \ like \ the\ playlist}=\frac{3}{1}$

the value of both new playlist and Dylan said about the ratio of people who liked the playlist to those who did not like the playlist is 3:1.

The value both of their ratio are equivalent .

Thus Nadhii and Dylan Agree

Hence proved

7 0

3 years ago