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nirvana33 [79]
3 years ago
10

Angel and Jayden were at track practice. The track is kilometers around.

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
6 0

Answer:

Jayden is running faster

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Y=(2x-3)^5(2-x^4)^3 differentiate the function please
BARSIC [14]
\bf y=(2x-3)^5(2-x^4)^3\\\\
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\cfrac{dy}{dx}=\stackrel{\textit{product rule}}{[5(2x-3)^4\cdot 2(2-x^4)3]~~+~~[(2x-3)^5[3(2-x^4)^2(-4x^3)]]}
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\cfrac{dy}{dx}=10(2x-3)^4(2-x^4)^3~~-~~12x^3(2x-3)^5(2-x^4)^2
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\cfrac{dy}{dx}=\stackrel{\textit{common factor}}{2(2x-3)^4(2-x^4)^2}~[5(2-x^4)-6x^3(2x-3)]
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\cfrac{dy}{dx}=2(2x-3)^4(2-x^4)^2~[10-5x^4-12x^4+18x^3]
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\cfrac{dy}{dx}=2(2x-3)^4(2-x^4)^2(10-17x^4+18x^3)
5 0
3 years ago
Max is paid a salary of $225 a week plus %2.5 commission on his total sales. What was max's total sales for the week if he made
torisob [31]
So we know he made 4,650 of sales and we need 2.5% of that

First to find 2.5% of 4650 we could do 

x/4650 = 2.5/100 
 Cross multiply to get

100x = 11625
x = 116.25

So his salary for this week would be 225 + 116.25 = 341.25
8 0
3 years ago
Alex is creating an outdoor structure out of two 12 foot boards. The boards must have an angle of elevation
Whitepunk [10]

Answer:

5.0 ft - 5.6 ft

Step-by-step explanation:

Given that the structure is to be made using two 12 foot boards, then we expect the total perimeter to be equal to (2*12)= 24 ft.

Using the angle of elevation, 40° and the width of 8 ft then you can apply the formula for tangent of a triangle where ;

Tan α = opposite side length/adjacent length

Tan 40°= h/8

h= 8 tan 40° = 6.71 ft

Applying the cosine of an angle formula to find the length of the sliding side

Cosine β = adjacent length /hypotenuse

Cosine 40°= 8/ sliding side length

sliding side length = 8/cosine 40° =10.44 ft

Checking  the perimeter = 10.44 +8+6.71= 25.15 ft

This is more than the total lengths of the boards, so you need to adjust the height as;

24 - 18.44 = 5.56 ft ,thus the height should be less or equal to 5.56 ft

h≤ 5.6 ft

6 0
3 years ago
1) 130 words in 5 mins. How many words in an hour?
FinnZ [79.3K]

Answer:

Part 1) 1,560 words

Part 2) 161 miles

Step-by-step explanation:

Part 1) 130 words in 5 mins. How many words in an hour?

Remember that

1\ hour=60\ min

so

using proportion

Find out how many words in 60 minutes (one hour)

\frac{130}{5}\ \frac{words}{min}= \frac{x}{60}\ \frac{words}{min}\\\\x=130(60)/5\\\\x=1,560\ words

Part 2) 322 miles in 2 hours. How many miles in 60 minutes?

Remember that

1\ hour=60\ min

so

2\ hours=120\ minutes

using proportion

Find out how many miles in 60 minutes

\frac{322}{120}\ \frac{miles}{min}= \frac{x}{60}\ \frac{miles}{min}\\\\x=322(60)/120\\\\x=161\ miles

8 0
3 years ago
What is 23 over 18 in simplest form
tatuchka [14]
\frac{23}{18} is already in simplest form because 23 is a prime number, which means that it is only divisible by 1 and itself (23). Hope this helps! :)
6 0
3 years ago
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