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2 years ago

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At a football game 43% of people attending are supporting the home team while 57% we’re supporting the visiting team if the tota

l number of people at the game was 4,500 how many people were supporting the home team

1 answer:

Finger [1]2 years ago

8 0

Answer:

1935

Step-by-step explanation:

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Find the indefinite integral. (Use C for the constant of integration.) <br> e2x 25 e4x dx.

Sladkaya [172]

Answer:

The solution is $\frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] + C$

Step-by-step explanation:

From the question

The function given is $f(x) = \frac{e^{2x}}{ 25 + e^{4x}} dx$

The indefinite integral is mathematically represented as

$\int\limits {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx$

Now let $e^{2x} = u$

=> $\frac{du}{dx} 2e^{2x}$

=> $2 e^{2x}dx = du$

So

$\int\limits {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx = \int\limits {\frac{1}{ 2(25 + u^2)} } \, du$

$= \frac{1}{2} \int\limits {\frac{1}{ 25 + u^2)} } \, du$

$= \frac{1}{2} \int\limits {\frac{1}{ 5^2 + u^2)} } \, du$

$= \frac{1}{2} \frac{tan^{-1} [\frac{u}{5} ]}{5} + C$

Now substituting for u

$\frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] + C$

3 0

3 years ago

Below you will find Mitch West's monthly statement and his check register. Use them to complete parts a-e in his checking accoun

sukhopar [10]

A bank reconciliation is done to check whether the cash balance maintained in the ledger accounts matches with the balance of the bank statement.

If the two balances do not match after reconciliation , it means there may be some errors in recording or mishandling of cash.

After reconciliation the ending balance of the given question must be

$ 2549.29.

Checking Account Summary

a) Ending Balance from the Statement $ 2368.9

b) Add Deposits Outstanding $ 300.00

<u>c) </u><u> Total of Checks Outstanding </u><u>($ 119.00)</u>

d) Revised Statement Balance $ 2549.29

e) Balance from checkbook $ 2549.29

The Deposit Outstanding can be found by matching the monthly statement and the check register.

The amount $300 deposit is shown in the check register but not in the monthly cash statement.

Therefore it is added to the ending balance of the statement to arrive at the balance of the check register.

The Checks Outstanding can be found from the Check register.

The checks of the Motor Vehicles and the Pasta Pete's are shown in the first column and subtracted in the last column, which means these are still outstanding.

The total of these checks outstanding is ($86.5+ 32.5=) $119.00

brainly.com/question/15525383

5 0

2 years ago

Read 2 more answers

The class average on a math test was an 82 with a standard deviation of 5. If the

Alex787 [66]

Answer:

Option 3 and 4.

Step-by-step explanation:

The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:

$z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation$

Given that mean (μ) = 82, standard deviation (σ) = 5

1) For x = 74:

$z=\frac{x-\mu}{\sigma} \\\\z=\frac{74-82}{5} =-1.6$

Option 1 is incorrect

2) For x < 87

$z=\frac{x-\mu}{\sigma} \\\\z=\frac{87-82}{5} =1$

From the normal distribution table, P(x < 87) = P(z < 1) = 0.8413 = 84.13%

Option 2 is incorrect

3) For x = 95:

$z=\frac{x-\mu}{\sigma} \\\\z=\frac{95-82}{5} =2.6$

Option 3 is correct

4) For x < 77

$z=\frac{x-\mu}{\sigma} \\\\z=\frac{77-82}{5} =-1$

From the normal distribution table, P(x < 77) = P(z < -1) = 0.16 = 16%

Option 4 is correct

5) For x > 92

$z=\frac{x-\mu}{\sigma} \\\\z=\frac{92-82}{5} =2$

From the normal distribution table, P(x > 92) = P(z > 2) = 1 - P(z < -2) = 1 - 0.9772 = 0.0228 = 2.28%

Option 5 is incorrect

8 0

3 years ago

Paralell to y=4x-6 through (12,10)

stiks02 [169]

<u>ANSWER</u>

The line that is parallel to $y=4x-6$ through $(12,10)$ is $y=2x-14$ .

<u>EXPLANATION</u>

The equation that is parallel to the line $y=4x-6$ has a slope that is equal to the slope of this line.

By comparing this equation to the general slope intercept form,

$y=mx+c$ ,this line has slope $m=2$ .

Hence the line parallel to this line also has slope $m=2$ .

Let $y=mx+b$ be the equation of the line parallel to the line

$y=4x-6$

We can substitute $m=2$ to obtain;

$y=2x+b$

If the line passes through the point $(12,10)$ ,then this point must satisfy its equation.

We substitute $x=12$ and $y=10$ to obtain;

$10=2(12)+b$

We this equation for $b$ .

$\Rightarrow 10=24+b$

$\Rightarrow 10-24=b$

$\Rightarrow -14=b$

We substitute this value of $b=-14$ in to $y=2x+b$ to get;

$y=2x+-14$ .

Hence the equation of the line that is parallel to $y=4x-6$ through $(12,10)$ is $y=2x-14$ .

3 0

3 years ago

Henry needs 2 pints of red paint and 3 pints of yellow paint to get a specific shade of orange. If he uses 9 pints of yellow pai

kkurt [141]

<span>I know because 2:3 is the ratio for the first and when he gets 9 that is 3* more. So we multiply 3*2 of the red paint and we will get 6 </span>

6 0

3 years ago

Read 2 more answers