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2 years ago

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John is participating in a marathon that is 26 2 miles. His distance (d, in

1 answer:

SVETLANKA909090 [29]2 years ago

4 0

Answer:

0-27

Step-by-step explanation:

The range of a function is representative of the values on the y-axis. In this case, the graph will contain distance on the y-axis at is the dependent variable, while the independent variable is time.

We know that the minimum value of the distance will be 0, given that there can be no negative distance. Moreover, the maximum value is 26.2 miles, since the marathon will then be over. Therefore, a good range for the situation will be 0-27 miles.

I hope this helps. I am sorry if you get this wrong.

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Yasmina eats lunch at Chipotle for $5.25 per day for five days a week. How much does lunch cost...

Paul [167]

Answer:

Step-by-step explanation:

Yasmina:

5.25 x 5 = 26.25 per week

5.25 x 20 = 105 per month

5.25 x 260 = 1365 per year

Camila:

9.75 x 35 = $ 341.25 earnings per week

341.25 x 0.20 = 68.25 saves per week

9.75x35x 4= 1365 earnings per month

1365 x 0.20 = 273 saves per month

9.75 x 35 x 52 = 17745 earnings per year

17745 x 0.20 = 3549 saves per year

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2 years ago

The length, width, and height of a rectangular prism are in the ratio 3:2:1, respectively. What is the length of the prism if it

Arturiano [62]

The three numbers have to multiply to 48 in a ratio of 3:2:1
which would be 6:4:2
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2 years ago

If sec theta = - √30 / 3, find cos theta.<br> if sin(-theta) = -0.97, find cos (π/2 - theta).

Cloud [144]

Step-by-step explanation:

$\cos \theta = \frac{1}{ \sec\theta } = - \frac{3}{ \sqrt{30} } = - \frac{3 \sqrt{30} }{30} = - \frac{ \sqrt{30} }{10}$

$\cos( \frac{\pi}{2} - \theta )= \cos \frac{\pi}{2} \cos \theta + \sin \frac{\pi}{2} \sin \theta$

Note that

$\sin( - \theta) = - \sin \theta$

$\cos \frac{\pi}{2} = 0 \: \: \: \: \: \sin \frac{\pi}{2} = 1$

Therefore,

$\cos( \frac{\pi}{2} - \theta ) = 0.97$

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2 years ago

An apartment complex on Ferenginar with 250 units currently has 223 occupants. The current rent for a unit is 892 slips of Gold-

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Answer:

Step-by-step explanation:

Given data

Total units = 250

Current occupants = 223

Rent per unit = 892 slips of Gold-Pressed latinum

Current rent = 892 x 223 =198,916 slips of Gold-Pressed latinum

After increase in the rent, then the rent function becomes

Let us conside 'y' is increased in amount of rent

Then occupants left will be [223 - y]

Rent = [892 + 2y][223 - y] = R[y]

To maximize rent =

$\frac{dR}{dy}=0\\=2(223-y)-(892+2y)=0\\=446-2y-892-2y=0\\=-446-4y=0\\y=\frac{-446}{4}=-111.5$

Since 'y' comes in negative, the owner must decrease his rent to maximixe profit.

Since there are only 250 units available;

$y=-250+223=-27\\\\maximum \,profit =[892+2(-27)][223+27]\\=838 * 250\\=838\,for\,250\,units$

Optimal rent - 838 slips of Gold-Pressed latinum

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2 years ago

3. To convert 5 to a fraction, what would the denominator be?

GalinKa [24]

Answer:

the denominator would be 1

Step-by-step explanation:

because 5 and 5/1 are equivalent

6 0

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