Simplify these calculations, leaving your answer in index form.

It's timed plzzz help!!!

Novay_Z [31]

Answer:

Last Choice / D

Step-by-step explanation:

you want to isolate v!

E = 1/2 m v^2

multiply both sides by 2

2E = mv^2

divide both sides by m

2E/m = v^2

square root both sides

v = ± $\sqrt{2E/m}$

please click heart to give thanks :)

3 0

2 years ago

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Ma Bernier has 52 cats and dogs in her house the number of cats is three times the number of dogs how many cats and dogs are in

frosja888 [35]

Answer:

dogs - 13

cats - 39

Step-by-step explanation:

Let the number of dogs Ma Bernier have be represented with d

She has 3 times as many cats as dogs, the number of cats she has :

cats = 3d

The sum of the cats and dogs is 52

d + 3d = 52

4d = 52

divide both sides of the equation by 4

d = 13

She has 13 dogs

Cats = 3d

= 3 x 13 = 39

3 0

3 years ago

A circular mirror is surrounded by a metal frame. The radius of the mirror is 2x. The side length of the metal frame is 12x. Wha

meriva

Answer:

$Area\ of\ th\e metal\ frame = 65.5x^{2}\ (unit)^{2}$

Step-by-step explanation:

Assuming that the metal frame is a square metal frame because the length of the side of the metal frame is given.

Given:

Radius of the mirror = 2x unit

Side length of the square metal frame = 12x unit

We need to find the area of the metal frame.

Solution:

First we find the area of the circular mirror, using area formula of the circle.

$A_{c} = \pi r^{2}$

Where, r = Radius of the object.

Substitute r = 2x in above equation.

$A_{c} = \pi (5x)^{2}$

$A_{c} = \pi (25x^{2})$

$A_{c} = 25\pi x^{2}\ (unit)^{2}$

Now, we find the area the square, using area formula of the square.

$A_{S} = (Side\ length)^{2}$

$A_{S} = (12x)^{2}$

$A_{S} = 144x^{2}\ (unit)^2}$

So, the area of the square metal frame is given as

$A_{f}=A_{s}-A_{c}$

$A_{f}=144x^{2}-25\pi x^{2}$

$A_{f}=(144-25\pi) x^{2}$

$A_{f}=(144-25\times 3.14) x^{2}$

$A_{f}=(144-78.5) x^{2}$

$A_{f}=65.5 x^{2}\ (unit)^{2}$

Therefore, the area of the metal frame is $65.5x^{2}\ (unit)^{2}$ .

5 0

2 years ago

GUYS I NEED HELP ITS URGENT! WILL MARK BRAINLIEST!

Ad libitum [116K]

Answer:

k = 13 The smallest zero or root is x = -10

===============================

Work Shown:

note: you can write "x^2" to mean "x squared"

f(x) = x^2+3x-10

f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5

f(x+5) = (x^2+10x+25)+3(x+5)-10

f(x+5) = x^2+10x+25+3x+15-10

f(x+5) = x^2+13x+30

Compare this with x^2+kx+30 and we see that k = 13

Factor and solve the equation below

x^2+13x+30 = 0

(x+10)(x+3) = 0

x+10 = 0 or x+3 = 0

x = -10 or x = -3

The smallest zero is x = -10 as its the left-most value on a number line.

Hope this was Right

7 0

3 years ago

Help please 11 minutes

bazaltina [42]

The value of X is 6

reduce the numbers 6x2/3x=24

calculate the product 2x2x=24

divide both sides by 4 4x=24

x=6

7 0

3 years ago

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