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umka2103 [35]
3 years ago
12

Simplify the expressioncot^2x - cot^2x cos^2x

Mathematics
1 answer:
andrew-mc [135]3 years ago
8 0
Cot^2x - cot^2x cos^2x
= cot^2x - {(cot^2x)(cos^2x)}
= cot^2x { 1 - cos^2x }
= cot^2x { sin^2x }
= (cos^2x/sin^2x) { sin^2x }
= cos^2x
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Wesleys mother is 57 years old. her age is three years more than twice edwins age. what is wesleys age?
natita [175]

Answer: Edwin is likely a typo for Wesley.

Step by step:

Wmom=57

Wmom=3+2e

57=3+2e

54=2e

27=e

Edwin is 27 years old.

Aside from a typo, one can speculate on Wesley's age. He's likely between 20 and 39 years old based on his mother's age. If you want to delve into societal norms, Wesley is likely to be a name from a white middle to upper class parentage, so it's less likely he was had when his mother was a teen, or even in her early twenties because college, so move that age zone to 20 to 34. Then consider that having children later than 35 is consideration for a "risky" pregnancy and most women are urged to aim for before 33, but most upper middle class white women will be pressured to baby before 30. So, adjust Wesley's age zone to 27 to 34. And then...idk. But in all honesty I think Edwin is meant to be Wesley, because it's a math problem not a sociology one.

7 0
4 years ago
In a recent survey about the types of transportation used for vacation, 36% of the 200 people surveyed chose airplanes, 53% chos
tigry1 [53]
Fist lets find the % of people using boats 
100%- (36+53+2)= 9%
then find the number of people of 9%
200= 100%
B=9%
100B=200x9
B= 18
8 0
3 years ago
Earth’s diameter is approximately 12,760,000 meters. What is that number in scientific notation? 1. 276 × 10-7 12. 76 × 10-6 1.
Andru [333]

Given, Earth's diameter is approximately 12,760,000 meters.

This number in scientific notation will be 1.276 × 10⁷

4 0
3 years ago
Calculate the average rate of change for the function f(x) = x4 + 3x3 − 5x2 + 2x − 2, from x = −1 to x = 1. A −1 B 1 C −5 D 5
mestny [16]

Answer:

D. 5

Step-by-step explanation:

From the information given:

The derivatives of functions and functions have a different average rate. The average rate expanded over an interval of two distinct point (a f(a)) and (b f(b)) is represented by the equation:

\dfrac{f(b)-f(a)}{b-a}

where; the two points are:

(-1 , f( -1) )    &    ( 1,  f(1) )

For f(1); we have:

f(1) = 1 +3(1)³ - 5(1)² + 2(1) - 2

f(1) = 1 + 3 - 5 + 2 -2

f(1) = - 1

For  f( -1); we have:

(-1)⁴ + 3(-1)³ - 5(-1)²+2(-1)-2

= 1 - 3 - 5 -2 - 2

= -11

∴

=\dfrac{-1-(-11)}{1 - (-1)}

=\dfrac{-1+11}{1 +1}

=\dfrac{10}{2}

= 5

6 0
3 years ago
The function f(x) is graphed below.<br><br> Use the graph of the function to find, f(1).
Vsevolod [243]
I think it would be the left on the 1
5 0
3 years ago
Read 2 more answers
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