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3 years ago

15

Plz explain this problem and answer it

1 answer:

Gemiola [76]3 years ago

5 0

So the way you would do this problem would be to solve for how many pens he was able to buy if he bought $9.75 worth of pens for $0.75 each. so to find the number of pens you would do 9.75/0.75, which equals a total of 13 pens. so he bought 4 times as many pencils so to find the number of pencils he purchased you would multiply 13 by 4 which equals 52 total pencils. to find the cost that aaron paid total you would multiply 52x0.35 which equals $18.20

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Find the integration of (1-cos2x)/(1+cos2x)

slega [8]

Given:

The expression is:

$\dfrac{1-\cos 2x}{1+\cos 2x}$

To find:

The integration of the given expression.

Solution:

We need to find the integration of $\dfrac{1-\cos 2x}{1+\cos 2x}$ .

Let us consider,

$I=\int \dfrac{1-\cos 2x}{1+\cos 2x}dx$

$I=\int \dfrac{2\sin^2x}{2\cos^2x}dx$ $[\because 1+\cos 2x=2\cos^2x,1-\cos 2x=2\sin^2x]$

$I=\int \dfrac{\sin^2x}{\cos^2x}dx$

$I=\int \tan^2xdx$ $\left[\because \tan \theta =\dfrac{\sin \theta}{\cos \theta}\right]$

It can be written as:

$I=\int (\sec^2x-1)dx$ $[\because 1+\tan^2 \theta =\sec^2 \theta]$

$I=\int \sec^2xdx-\int 1dx$

$I=\tan x-x+C$

Therefore, the integration of $\dfrac{1-\cos 2x}{1+\cos 2x}$ is $I=\tan x-x+C$ .

8 0

2 years ago

For which value of x is xyza a rectangle

lisabon 2012 [21]

Well each angle in a rectangle is 90°, so if x is an angle, it's 90°

I hope that helps!

7 0

3 years ago

⦁ The population of the Tallahassee metropolitan area was 382,627 at the end of 2017 with a growth rate of 2.78%. Using the expo

a_sh-v [17]

Answer:

The exponential growth model for the population of the Tallahassee metropolitan area is $y=382627(1.0278)^t$ .

Step-by-step explanation:

The exponential formula is

$y=b(1+r)^t$

Where b is initial population, r is growth rate, (1+r) is growth factor and t is time (in years) after the initial year.

The population of the Tallahassee metropolitan area was 382,627 at the end of 2017. The growth rate is 2.78%.

Here the initial year is 2017 and rate is 0.0278

$y=382627(1+0.0278)^t$

$y=382627(1.0278)^t$

Graph of the equation is shown below. The x-axis represents the number of years after 2017 and y-axis represents the total population.

Difference between 2025 and 2017 is 8 years. Put t=8

$y=382627(1.0278)^8$

$y=382627(1.0278)^8$

$y=476479.828188\approx 476479$

Therefore the projected population in 2025 is 476479.

7 0

3 years ago

260 weeks equal how many years

sattari [20]

5 years equals 260 weeks

3 0

3 years ago

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What is the answer please help!

Sav [38]

Answer:

(1,3)

Step-by-step explanation:

8 0

3 years ago

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