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3 years ago

What is the elasped time of 7:41 pm and 8:50 pm

Mathematics

1 answer:

hram777 [196]3 years ago

5 0

Answer:

about 1 hour and 9 minutes or 69 minutes

Step-by-step explanation:

I always add the hour first if I can (from 7:41 to now 8:41) and then add however many minutes are left (9 minutes).

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A rancher plans to make 4 identical and adjacent rectangular pens against a barn (see figure below), each with an area of 100 m^

Tasya [4]

Answer:

10 by 10 meters

Step-by-step explanation:

In calculus terms, you can use the formula for the perimeter which is 2l + 2w, and the area l × w.

Then since the area is 100

l × w = 100. So w = 100/l

Then substitute this into the perimeter formula.

w = 100/l → 2l + 2(w) = 2l + 2(100/l) = 2l + 200/l.

Then take the derivative d/dx [take the derivative of a quantity with respect to x], by using a simpler method known as the power rule:

d/dx[x^n] = nx^n-1

so p = 2l + 200/l becomes p' = 2 - 200/l^2

Since the derivative of a constant is 0, to solve for l, set p' to 0

0 = 2 - 200/l^2 → -200/l^2 = -2 → 200/l^2 = 2 → 2l^2 = 200 → l^2 = 100 → l = √100, l = 10.

Now that we know the length is 10, We can substitute the length in the original equation to find the width.

l = 10 → w = 100/l → w = 100/10, w = 10.

Therefore the perimeter of each rectangular pen is 40, with a length of 10 and width of 10.

If you want to do this algebraicly, there are more steps involved

7 0

3 years ago

Statistics help!

Alina [70]

Answer:

I wish I knew... im sorry bro

4 0

3 years ago

PLEASE HELP!! IM STUCK

lawyer [7]

Answer:

D) 1.9 meters

Step-by-step explanation:

a= -1.6, b=3.3, c=0.2

vertex is (1, 1.9)

6 0

3 years ago

Maureen earned some money doing odd jobs last summer and put it in a savings account that earns 9% interest compounded quarterly

ivolga24 [154]

Answer:

Maureen earned $123.19 doing odd jobs

Step-by-step explanation:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

In this question:

Compounded quarterly means that $n = 4$