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Phoenix [80]
3 years ago
9

Y= sqrt(8 x^3 as it reaches the point (2, 4, the y-coordinate is increasing at a rate of 5 cm/s. how fast is the x-coordinate of

the point changing at that instant?
Mathematics
1 answer:
AysviL [449]3 years ago
6 0
Y = √8x³

dy/dt = 2√2 *  3/2 * √x * dx/dt
⇒ 5 = 2√2 * 3/2 * √2 * dx/dt
⇒ 5 = 6 dx/dt
⇒dx/dt = 5/6 cm/s

x coordinate is changing at 5/6 cm/s

Hope it helps!
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A fitness club has two options, one for members and one for nonmembers. Members pay a one-time registration fee of $12 plus $8 p
Liula [17]

Answer:

See below.

Step-by-step explanation:

Let's look at the cost for members (C1) first.  Let x be the number of visits.

C1(x) = 12 + 8x

For non-members (C2), we can do the same.

C2(x) = 10x

You can graph these two equations.

x        C1         C2

0       12          0

1        20        10

2       28        20

3       36        30

4       44        40

5       52        50

6       60        60

7       68        70

Let's make the two equations equal, to find out where the benefit is the same.

12 + 8x = 10x

2x = 12

x = 6

Up to 5 visits, the non-member cost is better.  At 6 visits, there's the same price.  For more than 6 visits, the member cost is better.

7 0
2 years ago
A bag contains yellow marbles in red marbles 65 in total. The number of yellow marbles is five more than four times the number o
antoniya [11.8K]

Answer: there would be 52 yellow marbles

Step-by-step explanation:

Ok we know that there is 65 marbles in total? Right? So then we’d take 65 and think, what could we divide this by and start guessing and estimating numbers. (I guessed 5, one because it’s divisible by 65, two there is 5 times more yellow marbles than red marbles.) So 5 divided by 65 is 13. But, in order to find the amount of yellow marbles, we need to subtract the whole number by the amount of red marbles. (So 65-13 =?) if you subtract that you get 52 yellow marbles.  :)

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anzhelika [568]

Answer:

200 is 10 times as much as 20 and 1 tenth of 2,000

Step-by-step explanation:

Divide 200 by 10 and you'll get 20 and multiply it by 10 to get 2,000.

8 0
3 years ago
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evablogger [386]

Answer:

thanks for the points i mean really. anways hope someone else can help

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2 years ago
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Margaret [11]

Answer:

Length- 14 Width- 100

Step-by-step explanation:

First: 7x2=14

Then: 114-14=100

Hope this helps

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