The process for rationalizing a denominator in a variable expression is the same as in a numeric expression. Here’s a real-world example. The kinetic energy of the car of a rollercoaster is given by the formula k = one-half m v squared where k is kinetic energy, m is the mass of the car, and v is the velocity of the car. Solving this formula for v, we get v = StartRoot StartFraction 2 k Over m EndFraction EndRoot Which formula gives the velocity of the car in simplest form?

Answers

Answer 1

Answer:

It's B

Step-by-step explanation:

Got it right on EDGE2020

Answer 2

The value of velocity of the car will be v = √(2km) / m. Then the correct option is B.

What is kinetic energy?

If the object of mass m is moving with speed v. Then the kinetic energy of the object will be

KE = (1/2) mv²

The process for rationalizing a denominator in a variable expression is the same as in a numeric expression.

Here’s a real-world example.

The kinetic energy of the car of a rollercoaster is given by the formula

k = 1/2 m v²

Where k is kinetic energy, m is the mass of the car, and v is the velocity of the car.

Solving this formula for v, we get

[tex]\rm v = \sqrt{\dfrac{2k}{m}}[/tex]

Simplify the equation, we have

[tex]\rm v = \sqrt{\dfrac{2km}{m^2}}\\\rm v = \dfrac{\sqrt{2km}}{m}[/tex]

Then the correct option is B.

The complete question is attached below.

More about the kinetic energy link is given below.

https://brainly.com/question/12669551

#SPJ2

The Process For Rationalizing A Denominator In A Variable Expression Is The Same As In A Numeric Expression.

Related Questions

Please help me ill give you brainlest

Answers

Answer:

12.25 and 12.6 per hour

Step-by-step explanation:

For number 2, you take the amount of cookies, x, and divide it by the number of hours, a, and you get x / a = 12.25 or 12.6

For number 3, you do the same as in number 2, you take the pages read, x, divided by the time, a, and get x / a = s

s = 2 and 0.5

Convert 240 meters into hectometer with solution​

Answers

Answer:

Step-by-step explanation:

1 metre = 0.01 hectometre

240 metre = 2.4 hectometre

jermey has a weekend job as soccer referee. one weekend, he earns $140 by working 4 games. another weekend he earns $210 by working 6 games. if jeremy graphed an equation that represented his total earning based on the number of games worked, what would be the slope of the graph

Answers

Answer:Jeremy's weekend work would follow the equation of the standard line. The equation of the standard line is y=mx+b. b= 0, The slope of the line is equal to m, where m according to the given problem is equal to 35. Every hour of Jeremy weekend would pay $35.

Jeremy's equation

y= 35x

m=35

I think the answer is 35

The perimeter of the trapezoid-shaped window frame is 23.59 feet. Write and solve an equation to find the unknown side length x (in
feet).

Answers

Answer:

[tex] 5.62 + 3.65 + 5.62 + x = 23.59 [/tex]

[tex] x = 8.7 ft [/tex]

Step-by-step explanation:

Perimeter of the trapezoid-shaped window = sum of all the sides of the window frame

Thus, the equation to find the unknown side length, x, would be:

✔️[tex] 5.62 + 3.65 + 5.62 + x = 23.59 [/tex]

Solve for x

[tex] 14.89 + x = 23.59 [/tex]

Subtract 14.89 from each side

[tex] 14.89 + x - 14.89 = 23.59 - 14.89 [/tex]

✔️[tex] x = 8.7 ft [/tex]

I WILL MARK BRAINIEST
Please help it’s due

Answers

Answer:

m4 = 90 - x

m1 = 90 - x

m5 = 90 + x

Step-by-step explanation:

m4 = 90 - x

m1 = 90 - x

m5 = 180 - (90 - x)

m5 = 90 + x

1. In a supermarket, each orange costs $3, and each apple costs $2. If you want to spend
exactly $45, write an equation in standard form modeling this situation. Let o represent
the number of oranges you buy, and a represent the number of apples you buy.

Answers

Answer:

3o  + 2a = $45 ( you can buy 9 oranges and 9 apples)

Step-by-step explanation:

First I divided 45 by 3 and I got 15 so now I know that 15 is the highest amount of oranges I can buy without going over $45. I also know that 15 cannot be an answer because I also have to buy apples.

Then I divided 45 by 2 and 22 was the highest whole number.

Now I would play trial and error BUT i know that the number for oranges have to be less that 15 and the number for apples has to be less than 22.

3 times 9 equals 27 (oranges)

45 - 27 = 18

2 times 9 equals 18 (apples)

3o+2a =$45 is the  equation in standard form modeling this situation.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that in a supermarket, each orange costs $3, and each apple costs $2.

Let o represents the number of oranges you buy

and a represent the number of apples you buy.

If you want to spend exactly $45

We have to find the equation to model this situation

3o+2a =$45

Hence, 3o+2a =$45 is the  equation in standard form modeling this situation.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

What is the slope-intercept form of a line that passes through points (7,16) and (1,4)?
y=-2x-6
y=2x+6
y=-2x+2
y=2x+2
Plz answer quick!!!!

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

The formula is y = mx + b, and to find the slope it's y2-y1 / x2-x1, so you do 4-16 = -12 and 1-7 = -6, and -12/-6 = , so your slope is 2.

Then you use one point and put it into your equation ex: 4 = 2(1) + b and simplify to find the y-intercept (b).

Then that's your answer!

Hope this helps!

Heeelpp asapp

Suppose there is a 1.9°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 54.7°F​, what will be the temperature when the plane reaches an altitude of 4,000 ft​?

Answers

Answer:

IYEs

Step-by-step explanation:

YEs

Adult male heights are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. The average basketball player is 79 inches tall. Approximately what percent of the adult male population is taller than the average basketball player? (2 points)

a
0.135%

b
0.875%

c
49.875%

d
99.875%

Answers

This answer did not come from me but credit to ApusApus
We have been given that adult male heights are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. The average basketball player is 79 inches tall.
We need to find the area of normal curve above the raw score 79.
First of all let us find the z-score corresponding to our given raw score.
, where,
,
,
,
.
Upon substituting our given values in z-score formula we will get,



Now we will find the P(z>3) using formula:


Using normal distribution table we will get,


Let us convert our answer into percentage by multiplying 0.00135 by 100.

Therefore, approximately 0.135% of the adult male population is taller than the average basketball player and option A is the correct choice.

1. If f(x) = 5X - 2 Find f(4)

Answers

Answer:18

f(x) = 5x - 2

=> f(4) = 5.4 - 2 = 20 - 2 = 18

Step-by-step explanation:

Answer:

18 hope it will help you

Please help out , thank you

Answers

Answer:

4

Step-by-step explanation:

According to my knowledge the country that had a government in the 1930s and early 1940s that was autocratic was Germany (4).

The answer is 4 that the answer

If H between J and K and JH = x + 5 and HK = 2x + 10 and JK = 33. what is JH?​

Answers

The answer to your question is 11

What are two different coin combinations that can equal 30% of a dollar?

Answers

3 dimes, 30 pennies , a quarter and a nickel , a dime and 20 pennies. (just add up to 30)

I don't- I don't know i need help

Answers

Answers:

Monthly gross pay =  $7650.68

Annual gross pay = $91808.16

Explanation:

To get the monthly gross pay, you double the semi-monthly gross pay. In other words, you multiply by 2.

Once you know how much you earn per month, you multiply that by 12 to get your annual pay.

The term "gross" in financial terms means the amount of money before taxes and other fees apply. The net pay is after taxes and other fees are deducted from your paycheck. This means the net pay is going to be smaller than the gross pay.

Definition of vertex

Answers

a point we’re two lines intersect or meet

Which expressions are equivalent to 25x4 −64? Select three options. 25x4 + 40x − 40x − 64 25x4 + 13x − 13x − 64 (5x2 + 8)(5x2 − 8) (x2 + 13)(x2 – 13) (5x2 – 8)2

Answers

Answer:

a, b, c

25x4 + 40x − 40x − 64, 25x4 + 13x − 13x − 64, (5x2 + 8)(5x2 − 8)

Step-by-step explanation:

The expressions that are equivalent to 25x⁴ - 64 are; Options A, B and C

How to simplify the Algebra?

We want to find the expression equal to 25x⁴ - 64

A) 25x⁴ + 40x − 40x − 64 = 25x⁴ - 64

B) 25x⁴ + 13x − 13x − 64 = 25x⁴ - 64

C) (5x² + 8)(5x² - 8)

Expanding the bracket gives;

⇒ 25x⁴ - 64

D) (x² + 13)(x² - 13)

Expanding the bracket gives;

⇒ x⁴ - 169

E) (5x² - 8)²

Expanding the bracket gives;

⇒ 25x⁴ - 5x² + 64

Looking at all the answers, only options A, B and C are correct

Read more about simplification of Algebra at; https://brainly.com/question/723406

Number 13 ASAP ASAP thanks
And 14 if you don’t mine pls

Answers

Answer:

C - $8.75

Step-by-step explanation:

I'm pretty sure if you divide 3.75 by 3 you will get the amount of $ for a bag of soil which is around $1.25/per bag. And then if you multiple $1.25 for 7 bags you will get $8.75

Answer:

13) C

3.75/3=1.25

1.25×7=8.75

14) C

Solve the fraction 11/12 + 1/2 + 3/4

Answers

Answer:

2 1/6

Step-by-step explanation:

find common denominator: 12

11/12

1/2=6/12

3/4=9/12

add:

11/12+6/12+9/12=26/12

simplify:

26/12=13/6=2 1/6

hopefully this helps :)

ok so you need to make them all have the same denominator which would be 12. 11/12 + 6/12 + 9/12= 26/12 that would be improper form, mixed for would be 2 2/12 but that isnt simplest for so make it 2 1/6

Simple answer
Mixed Form: 2 1/6
Improper Form: 26/12

My little sister wanted me to explain this to her but I forgot... someone please help me
30% of x = 12

Answers

30% = 0.30

0.30x = 12

Divide both sides by 0.30

X = 12/0.30

X = 40

Answer:

x=40

Step-by-step explanation:

30% is the same as 3/10.

-So now you have 3/10 of x = 12.

The term “of” in the equation is the same as multiplication.

-So now you have 3/10 · x = 12 (the dot is multiplication)

Multiply both sides by the reciprocal of 3/10, which is 10/3

-So now you have x=120/3, which is equal to x=40 (that’s you answer)

You can check your answer by plugging in 40 for x.

30% of 40 is indeed equal to 12.

Hope this helps and answers your question :)

I WILL GIVE BRAINLIES!!!
Rewrite 15x + 3y = 27 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =
Rewrite 15x − 3y = 12 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =
Rewrite 2y = 16 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =

Answers

Answer:

y=-5x+9

m=-5

b=9

y=5x-4

m=5

b= -4

y=8

m=0

b=8

Step-by-step explanation:

Answer:

1) 15x + 3y = 27 in slope-intercept form.

→y=-5x+9

→m =-5

→b =(0,9)

2) 15x − 3y = 12 in slope-intercept form.

→y =5x-4

→m =5

→b =(0,-4)

3) 2y = 16 in slope-intercept form.

→y =8

→m =0

→b =(0,8)

What is 7.25 in expanded form?

Answers

Answer:

expanded form:- 7+2/10+5/100

Step-by-step explanation:

Answer:

7 * 1 + 2 * 0.1 + * 5 * 0.05

P.S * is the same thing as times.

Step-by-step explanation:

.

Using partial quotients, which would be the best choice for the first number to subtract in the division problem 673 Divided by 25?

None of these is correct.

250

50

500

Answers

Answer:

500

Step-by-step explanation:

hope this helps

which other expression has the same value as (-14)-8? Explain your reasoning

Answers

Answer:

It would be D. (-14)+(-8)

Step-by-step explanation:

It is D. Because when you add -8 and -14 you would get the answer -22

Hope this helps!

PLEASE HELP, ILL GIVE YOU 15

Answers

Answer:

2700

Step-by-step explanation:

9x20x15= 2700

PLZZ NEED HELPP ANDD FASSTT ⚠️⚠️⚠️⚠️

Answers

Answer:

d

Step-by-step explanation:

Answer:

the answer for your question is B.

Which theorems prove that triangles SRP and QRP Are Congruent. Check
all that apply*

A. SSS
B. SAS
C. AAS
D. ASA
E. HL

Answers

Given:

The figure.

To find:

The theorems that proves triangles SRP and QRP are congruent.

Solution:

From the given figure, it is clear that in triangle SRP and QRP,

Hypotenuse of triangles : [tex]PS=PQ[/tex]             (Given)

Legs of triangles : [tex]SR=QR[/tex]             (Given)

Since, hypotenuse and one leg of first triangle is equal to the hypotenuse and corresponding leg of another triangle, therefore, both triangles are congruent by HL postulate of congruence.

[tex]\Delta SRP\cong \Delta QRP[/tex]            (HL postulate of congruence)

Therefore, the correct option is E .

The fraction 5/8 is equivalent to-

A. 0.0625%

B. 625%

C. 0.625%

D. 62.5%

Answers

Answer:

C. 0.625%

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

5 divided by 8 is .625

Y'all what it 10/7 divided by 4

Answers

Answer:

.........

Step-by-step explanation:

10/7 x 1/4

10x1/7x4

10/7x4

10/28

5/14

Hope I helped

5/14 is your answer

Question 1: A ratio of 28 to 12 can be expressed in simplest form as:
8:5
9:4
7:3
14:9

Answers

It’s 7:3
Explanation
It’s 7:3 because 28 divided by 4 is 7 and 12 divided by 4 is 3

Find a point on the line and the line's slope. y+5=1/2(x+1)

Answers

Answer:

slope is 1/2

y intercept is (0, -92)(9,0)

Step-by-step explanation:

Other Questions
After the battle, how did Don Quixote account for the windmills? Perfect Purple Paint is made by mixing 3 cups blue paint to 5 cups red paint How many cups of blue paint would be needed if you have 25 cups of red paint tomake Perfect Purple Paint? 4 1/10 -3 3/8=.....? a set of data items is normally distributed with a mean of 60. convert the data item to a z score if the standard deviation is a as given. data item : 56 standard Deviation 4 A. 4B. -1C. 1D. -4 Lol i need help its 1am and i dont get this its due tmr please help lol Where are the Danes during most of this excerpt? Where is Grendel? What do the two different settings suggest about their different places in society? Cite textual evidence to support your answer. nuris is writing a paper on the scientist who first named cells after studying cork who is her paper about Do you think that our country advances in terms of the inclusion of all cultures? who is johnny sins?A - a doctorB -dentistC -firefighter what 3 interactions does the endocrine system rely on? The gradual temperature change from one season to the next is due to what? view attachment Trace fossils are recognized as evidence of which pre-existing life? A plants B neither plants nor animals C plants and animals D animals Is this graph a function or not a function What led to the demise of the Byzantine Empire? In LMN, l = 8.7 cm, m = 2.3 cm and n=6.6 cm. Find the measure of M to the nearest degree. 1. What is inspection and testing?2. What are the testing procedure should be performed in electrical and industrial circuit? PLZ HELP ME QUIXK! I WILL GIVE BRAINIEST!!!!What types of seismic waves are likely to travel through the outer core?A. Both S and P, because the outer core is liquidB. Both S and P, because the outer core is solidC. P but not S, because the outer core is liquidD. P but not S, because the outer core is solid Ashley calculates her salary (vase and commission) for the year y using a model y = 0.2x + 25,000; where x represents her total sales for the year. What is the meaning of the y-intercept in the model A) the y-intercept represents Ashleys base play B) the y intercepts represents Ashleys commission payC) the y-intercept represents asleys total sales for the yearD) the y-intercept reperesents the highest salary Ashley can earnim really struggling with this one Trescientos aos antes de que (1)_______ (llegar) los espaoles, los incas ocuparon el valle del Cuzco, en lo que es hoy el Per. En esa poca, este pueblo indgena (2)_____(estar) encabezado por un inca llamado Manco Cpac. Antes de que (3)______ (poblar) el valle del Cuzco, estos indgenas vivan en lo que es hoy Bolivia. Buscaban una regin que (4)______ (tener) mejor clima y suelos (soil) para cultivar. Cuando los incas llegaron a Per, un pueblo pacfico (5)_______(vivir) en el valle del Cuzco. Fue necesario que los incas (6)______ (expulsar) a ese pueblo. Ms tarde invadieron y conquistaron los pueblos y reinos que (7)_______(residir) en los alrededores. As, los incas formaron un gran imperio que (8)______(ser) gobernado por un Inca. Ellos no crean que el Inca (9)______ (ser) una persona comn; por el contrario, pensaban que (10)____ (ser) hijo del dios Sol. #1 - Write a conditional statement for this Venn diagram (pic attached) A. Red is a colorB. If it is red, then is is a color.C.It is red, if and only if it is a color.D.If it is a color, it is red.