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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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NeTakaya
It should be answer b.
3 0
2 years ago
Find the number that makes the ratio equivalent to 35:42<br> 16
Misha Larkins [42]

Answer:

5:6

Step-by-step explanation:

35:42

42/ 6 = 7

35/7 = 5

6 0
3 years ago
Read 2 more answers
(14 ÷ 2) x 5 + 6<br><br> { 3 x (4 + 1) } ÷ 5<br><br><br> EXPLAIN GIVING BRAINLIEST
OleMash [197]

Answer:

25

Step-by-step explanation:

(14÷2)×5+6(3×(4+1))÷5

using BODMAS

7×5+6(3×5)÷5

=7×5+6×15÷5

=35+90÷5

=125÷5

=25

3 0
3 years ago
Read 2 more answers
10 gallons equal how many cups
leonid [27]
If one gallon equals to 16 cups, then 16 * 10 will be your answer.

10 * 16 = 160
3 0
3 years ago
Read 2 more answers
*ੈ✩‧₊˚<br> raise the fraction to higher terms as indicated <br><br> 2/3 to twenty-firsts
DIA [1.3K]

The appropriate fraction when the number is raised to higher terms will be 14/21.

<h3>How to compute the fraction?</h3>

It should be noted that when we sat raising that fraction to higher terms, it implies that changing the numerator and the denominator to higher numbers to reflect the fraction.

Here, the given number is 2/3. When it's raises higher, the appropriate fraction will be:

2/3 = x/21

x = (2 × 21)/3

x = 42/3

x = 14

Therefore, the fraction will be 14/21.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

5 0
2 years ago
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