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sukhopar [10]
3 years ago
13

What is the equation to the line that goes through the point

Mathematics
1 answer:
DochEvi [55]3 years ago
5 0

Step-by-step explanation:

perpendicular slope is negative reciprocal. -1/-1 = 1

y - 4 = x +3

y = x + 7

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Approximate the change in the volume of a sphere when its radius changes from r​ = 40 ft to r equals 40.05 ft (Upper V (r )equal
alexgriva [62]

Answer:

The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.

Step-by-step explanation:

The volume of the sphere (V), measured in cubic feet, is represented by the following formula:

V = \frac{4\pi}{3}\cdot r^{3}

Where r is the radius of the sphere, measured in feet.

The change in volume is obtained by means of definition of total difference:

\Delta V = \frac{\partial V}{\partial r}\Delta r

The derivative of the volume as a function of radius is:

\frac{\partial V}{\partial r} = 4\pi \cdot r^{2}

Then, the change in volume is expanded:

\Delta V = 4\pi \cdot r^{2}\cdot \Delta r

If r = 40\,ft and \Delta r = 40\,ft-40.05\,ft = 0.05\,ft, the change in the volume of the sphere is approximately:

\Delta V \approx 4\pi\cdot (40\,ft)^{2}\cdot (0.05\,ft)

\Delta V \approx 1005.310\,ft^{3}

The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.

7 0
3 years ago
A clothing store pays $89.47 for a dress. The store’s percent of markup is 50% and the tax is 7.6%. Find the selling price for t
Goryan [66]
Hi,
<span>SP=Selling Price
</span>CP of dress= $ 89.47
percent of mark up = 50%
SP without tax= 100+ mark up % /100 * CP
<span>SP without tax= 100+50/100 * 89.47
</span>SP without tax= 150/100 * 89.47
SP without tax= 1.5 * 89.47
<span>SP without tax= $ 134.205
</span>tot. SP(SP with tax)= 100 + tax %/100 * SP
<span>SP=100 + 7.6/100 * 134.205
</span>SP= 107.6/100 * 134.205
SP= 1.076 * 134.205
<span>SP=  $144.40458
Hope this helps you.</span>
3 0
3 years ago
E
storchak [24]

Answer:

05949494

Step-by-step explanation:

;_;_;_(*(*!$+$+$8 djdjskosjdhdhdjdhdjsisudjjddhjdhdhhdhdhjhs the way to sk it or to did I rnd

5 0
2 years ago
Least to greatest 4, |-2|,3,|5|,-1 helppppppl
Likurg_2 [28]

Answer:

-1 , |-2| , 3 , 4 , |5|

Step-by-step explanation:

upright bars | | mean absolute value

upright bars | | make the number inside them

positive

|-2| = 2

|5| = 5

4, |-2|,3,|5|,-1

-1 , |-2| , 3 , 4 , |5|

3 0
2 years ago
Read 2 more answers
Lucy received a $70 gift card for a coffee store. She used it in buying some coffee that cost $7.49 per pound. After buying the
CaHeK987 [17]
$70/$32.55=$37.45 the amount of money she spent on coffee. We can divide that amount by $7.49 to see how many pounds she brought $37.45/$7.49=5

She brought 5 pounds of coffee.
7 0
2 years ago
Read 2 more answers
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