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4 years ago

9

Please help me with this question :) thanks.

1 answer:

olga55 [171]4 years ago

3 0

the blank should say x

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The length of a rectangle is increasing at a rate of 1 meter per day and the width is decreasing at a rate of 2 meters per day.

Goshia [24]

Answer:

The area is changing at 2 m²/d.

Step-by-step explanation:

The area of a rectangle is given by:

$A = l*w$

Where:

l is the length

w is the width

We have that the length is increasing at a rate:

$\frac{dl}{dt} = 1 \frac{m}{d}$

And the width is decreasing at a rate:

$\frac{dw}{dt} = -2 \frac{m}{d}$

The change in the rectangle's area is the following:

$\frac{dA}{dt} = w\frac{dl}{dt} + l\frac{dw}{dt}$

When the length is 8 meters and the width is 18 meters we have:

$\frac{dA}{dt} = 18 m*1\frac{m}{d} + 8 m(-2 \frac{m}{d})$

$\frac{dA}{dt} = 18 \frac{m^{2}}{d} - 16 \frac{m^{2}}{d}$

$\frac{dA}{dt} = 2 \frac{m^{2}}{d}$

Therefore, the area is changing at 2 m² per day.

I hope it helps you!

8 0

3 years ago

1 - (9 – 4) : 5 =<br> Please someone help

Norma-Jean [14]

Answer:

-4 = 5

Step-by-step explanation:

9-4=5

1-5=-4

-4:5

3 0

4 years ago

Pls help!! will give thx and 5star and brainliest

steposvetlana [31]

Answer:

12.A.) Heptagon

Step-by-step explanation:

3 0

3 years ago

A guy delivers 12 case for a flower shop in 1 hour and 30 minutes what is the rate and bouquets per hour and what is the rate of

Alisiya [41]

So you have 12 cases delivered in 1 hour and 30 minutes. 30 minutes is half of an hour or .5

so 12/1.5 is 8, that is 8 cases per hour for a total of 32 cases in 4 hours.

5 0

3 years ago

Evaluate using the finite geometric sum formula

Sever21 [200]

Answer:

$S_9=-18.703$ .

Step-by-step explanation:

The given series is,

$\sum_{i=1}^9(-\frac{1}{2})^{i-1}$

When we substitute $i=1$ , we get the first term, which is $a_1=-28(-\frac{1}{2})^{1-1}$

This implies that,

$a_1=-28(-\frac{1}{2})^{0}$

$a_1=-28(1)=-28$ .

The common ratio is

$r=-\frac{1}{2}$

The finite geometric sum is given by the formula,

$S_n=\frac{a_1(r^n-1)}{r-1} , -1\:$ .

Since there are 9 terms, we find the sum of the first nine terms by putting $n=9$ in to the formula to get,

$S_9=\frac{-28((-\frac{1}{2})^9-1)}{-\frac{1}{2}-1}$ .

$S_9=\frac{-28((-\frac{1}{2})^9-1)}{-\frac{1}{2}-1}$ .

$S_9=\frac{-28((-\frac{1}{512})-1)}{-\frac{3}{2}}$ .

$S_9=\frac{-28(-\frac{513}{512})}{-\frac{3}{2}}$ .

$S_9=-28(\frac{171}{256})$ .

$S_9=-\frac{1197}{64}$ .

$S_9=-18.703$ .

The correct answer is B

4 0

3 years ago

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