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vitfil [10]
3 years ago
7

Please help, this chapter was on derivatives...

Mathematics
1 answer:
Usimov [2.4K]3 years ago
8 0
<h3>Answer:  ds/dt = 11</h3>

================================================

Work Shown:

Before we can use derivatives, we need to find the value of s when (x,y) = (15,20)

s^2 = x^2+y^2

s^2 = 15^2+20^2

s^2 = 225+400

s^2 = 625

s = sqrt(625)

s = 25

-----------

Now we can apply the derivative to both sides to get the following.  Don't forget to use the chain rule.

s^2 = x^2 + y^2

d/dt[s^2] = d/dt[x^2 + y^2]

d/dt[s^2] = d/dt[x^2] + d/dt[y^2]

2s*ds/dt = 2x*dx/dt + 2y*dy/dt

2(25)*ds/dt = 2(15)*5 + 2(20)*(10)

50*ds/dt = 150 + 400

50*ds/dt = 550

ds/dt = 550/50

ds/dt = 11

-----------

Side note: The information t = 40 is never used. It's just extra info.

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What percent of 25 is 20
ipn [44]
80% bc 20/25 equals 4/5 and 4/5 equals x/100 and when you do that math it equals 80%
7 0
3 years ago
Read 2 more answers
Someone can help me with this please​
Marina CMI [18]

Answer:

x = -1 and x = 7

Step-by-step explanation:

2x^2 + 2x - 14x - 14

2x^2 - 12x -14

Divide through by 2 to simplify the expression

x^2 - 6x - 7

x^2 - 6x -7

Now, let's think of two numbers that when added up gives -6 and when multiplied gives -7

Yes! It's -7 and +1

-7 + 1 = -6 , and -7* 1 = -7

Now, lets substitute these numbers in the expression

x^2 -7x + x - 7

factorize

x(x - 7) + 1(x - 7)

(x + 1) (x - 7)

Now equate to zero

(x + 1) (x - 7) = 0

x + 1 = 0

subtract 1 from both sides

x +1 - 1 = 0 -1

x = -1

Also,

x - 7 = 0

Add 7 to both sides

x -7 + 7 = 0 + 7

x = 7

Hence, x = -1 and x =7

6 0
3 years ago
What is the minimum of 18.6
krek1111 [17]
Minimum of 18.6 = 18.55
8 0
3 years ago
Ysidra paints a room that has 400 square feet of wall space in 2 and a half hours. at this rate, how long will it take her to pa
Pie
1 hour 10 minutes /////
5 0
3 years ago
You are putting a rectangular hot tub on your back porch. It is 6 feet long, 5 feet wide, and 3 feet deep. How much will it cost
sleet_krkn [62]

It costs $ 3.4 to fill the hot tub

<h3><u>Solution:</u></h3>

Given that, You are putting a rectangular hot tub on your back porch

The rectangular hot tub is of shape cuboid

<em><u>The volume of cuboid is given as:</u></em>

\text{Volume of cuboid } = length \times width \times height

It is 6 feet long, 5 feet wide, and 3 feet deep

Therefore,

length = 6 feet

width = 5 feet

height = 3 feet

<em><u>Thus volume of rectangular hot tub is:</u></em>

volume = 6 \times 5 \times 3 = 90

Thus volume of rectangular tub is 90 ft^3

Convert feet to gallons

We know that,

1 cubic feet = 7.48052 gallon

Therefore,

90 cubic feet = 7.48052 x 90 = 673.247

Thus gallons of water tub can hold is 673.247 gallons

Given that it costs $ 5 per 1000 gallons

1000 gallons = $ 5

Therefore,

1 gallons = $ \frac{5}{1000}

<em><u>Find for 673.247 gallons</u></em>

673.247 gallons = \frac{5}{1000} \times 673.247 = 3.366235 \approx 3.4

Thus it costs $ 3.4 to fill the hot tub

5 0
3 years ago
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