All categories

3 years ago

Solve for k J = k^2/4 (There can be multiple answers)

Mathematics

1 answer:

Makovka662 [10]3 years ago

8 0

Answer:

The first option is the answer (k = +/- 2 square root of J)

Step-by-step explanation:

Since you need to leave k by itself, You multiply both sides by 4 which will leave you with 4J=k^2. To get rid of the square(^2), you need to square root both sides which will leave k by it self. So now you have 4J inside the square root = k. The last step is to take the square root of 4 (which is + or -2) and put it outside the square root sign, leaving J inside the square root.

You might be interested in

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

Bond [772]

Answer:

The time that the rocket will hit the ground will be:

x = 17.40 seconds

Step-by-step explanation:

Given the expression

$f\left(x\right)\:=-16x^2+272x+110$

Here:

x represents the time in seconds

y represents the height of the rocket

We know that when the rocket will hit the ground, the height will get y = 0

i.e.

$0\:=-16x^2+272x+110$

solving for x to determine the time that the rocket takes when it will hit the ground.

$-16x^2+272x+110=0$

subtract 110 from both sides

$-16x^2+272x+110-110=0-110$

$-16x^2+272x=-110$

Divide both sides by -16

$\frac{-16x^2+272x}{-16}=\frac{-110}{-16}$

$x^2-17x=\frac{55}{8}$

$\mathrm{Add\:}\left(-\frac{17}{2}\right)^2\mathrm{\:to\:both\:sides}$

$x^2-17x+\left(-\frac{17}{2}\right)^2=\frac{55}{8}+\left(-\frac{17}{2}\right)^2$

$x^2-17x+\left(-\frac{17}{2}\right)^2=\frac{633}{8}$

$\left(x-\frac{17}{2}\right)^2=\frac{633}{8}$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solving

$x-\frac{17}{2}=\sqrt{\frac{633}{8}}$

$x=\frac{\sqrt{1266}}{4}+\frac{17}{2}$

x = 17.40 seconds

also solving

$x-\frac{17}{2}=-\sqrt{\frac{633}{8}}$

$x=-\frac{\sqrt{1266}}{4}+\frac{17}{2}$

x = -0.40 seconds

As time can not be negative.

Thus, the value of x = 17.40 seconds

Therefore, the time that the rocket will hit the ground will be:

x = 17.40 seconds

4 0

3 years ago

Describe in words a sequence of transformations that maps ABC to A'B'C'

sleet_krkn [62]

Answer:

First is a 90Âş rotation (counter-clockwise) with respect to the origin. Next is a horizontal transformation of +2 units. Transformation one is (x, y) -> (-y, x) Transformation two is (x, y) -> (x + 2, y)

Step-by-step explanation:

6 0

3 years ago

A single card is drawn from a deck. Find the probability of selecting

shepuryov [24]

Answer:

A. 1/2.

B. 15/26.

Step-by-step explanation:

Note when you have an 'OR' in the statement we <u>add </u>the probabilities.

A . Club or a diamond . There are 13 clubs and 13 diamonds so

The Required Probability = 13/52 + 13/52

= 1/4 + 1/4 = 1/2.

B. There are 4 jacks and 26 black cards.

The Required Probability = 4/52 + 26/52

= 1/13 + 1/2

= 2/26 + 13/26

= 15/26.

5 0

3 years ago

You earn 10% commission on furniture sales. This week you have sold $3,000 in furniture. Your goal for the week is to earn $550

mario62 [17]

Answer:

2,500.00

Step-by-step explanation:

5 0

3 years ago

Two less than 3/2 of a <br> number (x) is no more than 5 1/5

alexandr402 [8]

3/2 of a number could be 3/2x. two less than is thus 3/2x-2. no more than means less than or up to or ≤. finally,

3/2x-2≤5 1/5
3/2x≤26/5+10/5
3/2x≤16/5
x≤16/5*2/3
x≤32/15. or x ≤ 2 2/15

5 0

3 years ago