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2 years ago

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Mathematics

1 answer:

horrorfan [7]2 years ago

3 0

Answer:

T-6÷2+5

Step-by-step explanation:

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Find ∫^[infinity]_-[infinity] x/(1+x^2)^2 dx.

son4ous [18]

Answer:

Step-by-step explanation:

integral(x/(1+x^2)^2)dx

=(1/2)integral(2x/(1+x^2)^2)dx

=(1/2)[-1/(1+x^2)] +c

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3 years ago

April had 3 7 of a pound of pecans. her sister ate 2 3 of april's pecans. how many pounds of pecans did april's sister eat?

RideAnS [48]

April had 3/7 of a pound of pecans. Her sister ate 2/3 of April's pecans. How many pounds of pecans did April's sister eat?

Answer:2/7

Explaining 3/7 x 2/3 = 621 = 2/7
Good Luck! :)

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3 years ago

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Korvikt [17]

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2 years ago

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Tamara earns 2,050 every month. She spends 65% on the amount that she earns. The rest of the money is equally divided and deposi

victus00 [196]

Answer:

Tamara earns $2,050 each month.

She spends 65% of that, so the amount that she spends is:

S = (65%/100%)*$2,050 = 0.65*$2,050 = $1,332.50

Then the amount that she has left is:

R = $2,050 - $1,332.50 = $717.50

Now she divides that in half, and deposits those amounts in two separate accounts.

She deposits $717.50/2 = $358.75 in each acount.

Then she deposits $358.75 per month, so after x months she has:

x*$358.75 in each of those accounts, so one of the accounts will have more than $2,500 when:

x*$358.75 = $2,500

x = $2,500/$358.75 = 6.96

So after 6.96 moths she will have more than $2,500 in one of her accounts, we can round it to:

After 10 months Tamara has deposited more than 2,500 in one of her accounts.

4 0

3 years ago

Part III: Bailey works part-time at a movie theater. The theater pays employees an hourly wage based on their length of employme

frutty [35]

Given the following table showing the hourly wages of employees of a movie theater based on their length of employment.

Length of employment (months) Hourly wage (dollars/hour)
6 months 7.55
12 months 7.85
18 months 8.15
24 months 8.45

To obtain an algebraic expression that describes how much Bailey’s employer pays part-time workers, we take two points from the table.

Recall that the equation of a linear function satisfying two points
$(x_1,y_1)$ and $(x_2,y_2)$
is given by
$\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}$

Given the two points (6, 7.55) and (12, 7.85), the algebraic expression relating the two points is given by
$\frac{y-7.55}{x-6} = \frac{7.85-7.55}{12-6} = \frac{0.3}{6} \\ \\ 6(y-7.55)=0.3(x-6) \\ \\ 6y-45.3=0.3x-1.8 \\ \\ 0.3x-6y=-43.5$

Therefore, the algebraic expression that describes how much Bailey’s employer pays part-time workers is
$0.3x-6y=-43.5$

5 0

3 years ago