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3 years ago

I need to solve cy−7=5d+3y for y, any help?

Mathematics

2 answers:

iVinArrow [24]3 years ago

8 0

Given cy - 7 = 5d + 3y, we solve for y as follows:

cy - 3y = 5d + 7

y(c - 3) = 5d + 7

y = (5d + 7) / (c - 3)

inysia [295]3 years ago

5 0

For this case we have the following equation:

$cy-7 = 5d + 3y$

We must clear the value of y.

For this, we follow the following steps:

1) We place the variables on one side of the equation and the constant terms on the other side of the equation:

$cy-3y = 5d + 7$

2) We make the common factor "y" on the left side of the equation:

$y(c-3) = 5d + 7$

3) We move to divide c-3 on the right side of the equation:

$y = \frac{5d + 7 }{c-3}$

Answer:

The value of y is given by:

$y = \frac{5d + 7 }{c-3}$

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4 years ago

A ball is thrown into the air and its position is given by h ( t ) = − 6.3 t 2 + 53 t + 24 where h is the height of the ball in

nordsb [41]

Answer:

$h'(t) = -12.6 t +53$

Now we can set up the derivate equal to 0 and we have:

$-12.6 t +53 = 0$

And solving for t we got:

$t = \frac{53}{12.6}= 4.206$

For the second derivate respect the time we got:

$h''(t) = -12.6$

So then we can conclude that t = 4.206 is a maximum for the function.

And the corresponding height would be:

$h(t=4.206) = -6.3(4.206)^2 +53*4.206+24= 135.468 ft$

So the maximum occurs at t = 4.206 s and with a height of 135.468 m

Step-by-step explanation:

For this case we have the following function:

$h(t) = -6.3t^2 +53 t+24$

In order to maximize this function we need to take the first derivate respect the time and we have:

$h'(t) = -12.6 t +53$

Now we can set up the derivate equal to 0 and we have:

$-12.6 t +53 = 0$

And solving for t we got:

$t = \frac{53}{12.6}= 4.206$

For the second derivate respect the time we got:

$h''(t) = -12.6$

So then we can conclude that t = 4.206 is a maximum for the function.

And the corresponding height would be:

$h(t=4.206) = -6.3(4.206)^2 +53*4.206+24= 135.468 ft$

So the maximum occurs at t = 4.206 s and with a height of 135.468 m

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3 years ago

Every week, Greg spends at least three times the number of hours traveling to work as he does being at work. If Greg is at work

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Answer:

30 hours/a

Step-by-step explanation:

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2 years ago

How many factors does 72 have? Eliminat 14

aalyn [17]

Answer: The factors of 72 are: 1,2,3,4,6,8,9,12,18,24,36,72. So basically 12, and if 72 doesn't count than it is 11.

Step-by-step explanation: Hope this helps.

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4 years ago

Read 2 more answers

In how many ways could 12 people be

laila [671]

Step-by-step explanation:

There are total 12 People

Person 1, Person 2,3,4,5,6,7, 9, 10, 11 and 12 at a round table

12 Chairs: 1,2,3,4,5,6,7,8,9,10,11 and 12

Let chairs 1 and 2 be next to each other

Person 1 is at chair 1 and Person 2 is at chair 2

The rest of the people on 3,4,5,6,7,8,9,10,11 and 12 - can sit in 10! ways

Next, Person 1 and Person 2 change their positions;

Person 1 is sitting at 2 and Person 2 is sitting at 1

The rest of the people on 3,4,5,6,7,8,9,10,11 and 12 - can be rearranged in 10! ways

Therefore, total number of ways in which Person 1 and Person 2 are next to each other is: 2*10! = 7257600

As we then have to find in how many ways they are not sitting next to each other; subtract 7257600 from the total number of possible arrangements.

In circular permutation,

Total number of arrangements of n people = (n-1)!

Here the number of people is 12

Arrangement = (12-1)! = 11!= 39916800

Therefore, the number of ways Person 1 and Person 2 are not next to each other = 39916800 - 7257600 = 2659200

Keywords: permutation, combination

Learn more about permutation and combination from brainly.com/question/12953847

#learnwithBrainly

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3 years ago