A race dog is initially running at 10 m/s but is slowing down. How fast is the dog moving when its kinetic energy has been reduced by half?
5.37 m/s
7.07 m/s
5.00 m/s
6.10 m/s

Answers

Answer 1

Answer: 7.07 m/s

Step-by-step explanation:

I took the quiz and that was the correct answer 5 is wrong

Answer 2

The speed of the dog at half of its kinetic energy is 7.07 m/s. The correct option is (B).

What is Proportionality?

When two quantities have some dependence in their values they can be said proportional to each other.

It can be of two types such as direct and indirect.

The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.

Given that,

The present speed of the dog is 10 m/s.

Suppose the mass of the dog be m kg.

Since, the kinetic energy of an object is given as K = 1/2mv².

As per the question, the following expression can be written,

Initial energy, K₁ = 1/2m × 10²

                           = 50m

Final energy, K₂ = K₁/2

                           = 50m/2

                           = 25m

Using the expression for kinetic energy,

1/2mv² = 25m

=> v² = 50

=> v = √50

       = 7.07

Hence, the speed of the dog when its kinetic energy is reduced to half is 7.07 m/s.

To know more about proportionality click on,

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Related Questions

What is the equation of the ine that has a slope of 4 and passes through the point (3, -10) ?

Answers

Answer:

The answer is

[tex] \huge y = 4x - 22[/tex]

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (3, -10) and the slope 4

We have

[tex]y + 10 = 4(x - 3) \\ y + 10 = 4x - 12 \\ y = 4x - 12 - 10[/tex]

We have the final answer as

[tex]y = 4x - 22[/tex]

Hope this helps you

Answer:

y+10=4(x-3) in point-slope form

Step-by-step explanation:

In point-slope form, this is how you will write out the equation. Point slope form is y-y1=m(x-x1). You substitute the values in order to get this equation.

Someone text me on sc queenalyssa_05 :)

Answers

Answer:

No

Step-by-step explanation:

Answer:

Why... Um... ok

Step-by-step explanation:

Solve for g. C = d/g

Answers

Answer:

I believe that g=dc

Step-by-step explanation:

You swap positions with g and c along with their sign of operation.

slope line in simplest form​

Answers

Answer:

y=-2/3x

I think that's the simplest form

Mai biked 634 miles today, and Noah biked 472 miles.
How many times the length of Noah's bike ride was
Mai's bike ride?

Answers

Answer:

1.34 times the length of Noah's bike ride

Step-by-step explanation:

634/472

1.34322033898

1.34

1.34 times the length of Noah's bike ride

What is the measure of 1?

Answers

Answer:

93

Step-by-step explanation:

9% of 828 I will give Brainliest to the first to answer right

Answers

Answer:

74.52

Step-by-step explanation:

help!! im not good at simplifying.
Instructions: Evaluate the following expression and enter the final simplified answer in the box provided. Use a forward slash (i.e. "/") to enter in fractions (e.g. -1/2 is the same as −12).

(2)(−5/6)=

Answers

Answer:

5/3 or 1 2/3 there you go


Find two integers whose sum is -9 and product is -10

Answers

-10 and 1

-10+1=9

-10•1=-10

Find a equation of the line for which (5,10) is a point on the line

Answers

Answer:

you go to the right 5 and go up 10

Step-by-step explanation:

The population of a colony of bacteria can be modeled by the function P(t) = 19,300(5)t, where t is the elapsed time in hours. What is the inverse function? P–1(t) = 19,300 log5 (t) P–1(t) = log5 (19,300t) P–1(t) = log5 (StartFraction t Over 19,300 EndFraction) P–1(t) = 19,300 (One-fifth) Superscript t

Answers

Answer:

The inverse of the function is

P^-1(t) = Log5 t - Log5 19,300

or P^-1(t) = Log5 (t/19,300)

Step-by-step explanation:

Here, we want to find the inverse of the function.

Make t the subject of the formula, then solve the equation for P(t)

P(t) = 19,300(5)^t

Replace P(t) with t and t with P(t)

So we have

t = 19,300(5)^P(t)

Now make P(t) subject of formula

divide both sides by 19,300

t/19,300 = 5^p(t)

By logarithmic law:

Log5 (t/19,300) = P(t)

Hence P(t) = Log5 t - Log5 19,300

Now replace P(t) with P^-1(t)

So the inverse is;

P^-1(t) = Log5 t - Log5 19,300

Answer:

C)

Step-by-step explanation:

got it right on edge :)




Andre bought a new bag of cat food. The next day, he opened it to his cat. The graph shows how many ounces was left in the bag on the days after it was bought. How many ounces of food were in the bag 24 days after Andre bought it?

Answers

Answer:

There were 16 ounces of Cat Food after 24 days.

Step-by-step explanation:

From the graph attached,

For an ordered pair (x, y) lying on the graph,

x-coordinate represents the number of days since bag was bought and y- coordinate represents the ounces of cat food required.

Now the value x = 24 on x-axis shows the number of days since the bag was bought.

For x = 24, ounces of cat food in the bag ( y ) = 16 ounce

Therefore, 16 ounces of Cat Food were in the bag after 24 days since it was bought.

16 ounces of cat food was in the bag, on 24th day

Given : The y axis represents dependent variable ie the 'ounces of cat food' , and x axis represents independent variable ie 'days since bag was bought'

To find : Value of y ie ounces of food - on a particular value of x ie days since bag bought , we draw a straight vertical line from value of x to the curve & correspond it to y axis.

From x = 24, if we draw a straight vertical line to the graph - it touches the point ( x,y ) = (24, 16). Extending it further to y axis, we get value of y ie 'ounces of food' = 16

To learn more, refer https://brainly.com/question/18385183?referrer=searchResults

the cost of a ticket will be no more than $26

Answers

Answer:

what is the question exactly??

can you please elaborate...

Step-by-step explanation:

PLS ANSWER THIS CORRECTLY AND GET 30 PTS AND BRAINLY

Answers

3.988906 cause look at it

Answer:

(-0,1)        

Really sorry if it's wrong! Have a good day!!

51 divided by 3 is k.
Solve for k.
k
=

Answers

Answer:

k=17

Step-by-step explanation:

k=51/3

Answer: k=17

Step-by-step explanation: 51 divided by 3=17, so k has to be 17

7x - 3x + 2 = 8x - 6


Answers

Answer:

x=2

Step-by-step explanation:

(10 Points) Question In Picture:

Answers

Answer:

10. you're welcome, good Luckk!

Your answer is C, 25!!

A cannery processed 785 pounds of strawberries in 5.5 hours. The cannery processed 1550 pounds in 10 hours. Write a linear equation to model the relationship between the weight of strawberries S and time T. How many pounds of strawberries can be processed in 8 hours?

Answers

Answer: 1240 in 8 hours

Explanation: I used my TI 84 Plus Calculator

The Equation is s = 170 t - 150 and 1210 pounds of strawberries can be processed in 8 hours.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

A cannery processed 785 pounds of strawberries in 5.5 hours.

and, The cannery processed 1550 pounds in 10 hours.

let S be weight of strawberries and T be the Time.

So,

slope = (1550 - 785) / (10 - 5.5)

         = 170

Using slope- intercept form

y = mx + b

1550 = 170 (10) + b

b= -150

Then, y = 170 x - 150

and the equation is s = 170 t - 150

At t= 8 hour

s= 170x 8 - 150

s = 1210 pound.

Learn more about slope here:

https://brainly.com/question/1778750

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HELP GIVING OUT BRAINLIEST WHOEVER'S FIRST!!!!

Answers

Answer:

30

Step-by-step explanation:

2x^3+3y-4

2(2)^3+3(6)-4

2(8)+18-4

16+18-4

30

2(8)+3(6)-4

16+18-4

30

(03.02 LC)
ABCD is a rectangle. What is the value of x?
A
56 m
B
65 m
xm
D
C

Answers

Bbbbbbbbbbbbbbbbbbbbbbb

Giving this if someone can help me with this problem. After Becca's half-marathon, her pedometer showed 23,580 steps, while Alex recorded 2.42 x 10⁴ steps after the same race. What is the combined amount of the steps?

Answers

explanation:

23,580 + 2.42 x 10⁴ = 47,780

btw i don’t want that thing lol

Answer: 47,780 steps

Step-by-step explanation: For Alex's steps, we'll need to move the decimal four places to the right, and once you do that you should get 24,200. Add 24,200 and 23,580 together and you should get 47,780 steps.

Two-Step Equations 2/5x−3=−17

Answers

Answer:

x =-35

Step-by-step explanation:

2/5x−3=−17

Add 3 to each side

2/5x−3+3=−17+3

2/5x = -14

Multiply each side by 5/2

5/2 * 2/5x = -14 * 5/2

x = -35

Answer:

x = -35

Step-by-step explanation:

Add 3 to each side, so it now looks like this: 2/5x = -14Divide each side by 2/5 to cancel out the 2/5 next to x. It should now look like this: x = -35

I hope this helps!

Solve: 3(g − 2) = 8

Answers

Answer:

g=4⅔

Step-by-step explanation:

3(g - 2)=8

3g -6 = 8

3g= 8+6

3g= 14

[tex] \frac{3g}{3} = \frac{14}{3} [/tex]

g=4⅔

hope this helps

Step-by-step explanation:

3(g - 2) = 8

3(g - 2) = 8

+ 2 +2

3g = 8

3÷3= 0 8÷3 = 4.6

so your answer will be g= 4.6 (5 if you round it up) or if you need it in fraction form it will be 4 and 2/3

Renting a small moving truck for a day costs $29.95 plus $0.79 per mile that the truck is driven. Ms. Knowles rented a truck for one day and paid $91.57. The equation 29.95 + 0.79d = 91.57 can be used to model this situation. Choose True or False for each statement. A) The variable d represents the number of miles Ms. Knowles drove. B) The term 0.79d represents the charge in dollars for the distance driven. C) You can isolate the term 0.79d by adding 29.95 to both sides of the equation.

Answers

Given:

Renting a small moving truck for a day costs $29.95 plus $0.79 per mile that the truck is driven. Ms. Knowles rented a truck for one day and paid $91.57.

The equation is

[tex]29.95 + 0.79d = 91.57[/tex]

To find:

Whether the statement are true or false.

Solution:

We have,

[tex]29.95 + 0.79d = 91.57[/tex]

Here,

Fixed cost = 29.95

Variable cost = 0.79d, it depends on the number of miles Ms. Knowles drove.

So, the variable d represents the number of miles Ms. Knowles drove.  Hence, statement A is true.

The term 0.79d represents the charge in dollars for the distance driven. Hence, statement B is true.

You can isolate the term 0.79d by subtracting 29.95 from both sides of the equation.

Hence, statement C is false.

Determine the x- and y-intercepts of the graph of y =
graph of Y = 1x – 2

Answers

Answer:

x is 8 and y is -2

Step-by-step explanation:

Answer and I will give you brainliest.

A cat can travel a distance of 32.5 meters in 13 seconds. What is the average speed of the cat to the nearest hundredth of a m/s? *

A 2.5 mph
B 0.4 mph
C 2.5 m/s
D 0.4 m/s

Answers

Answer:

D: 0.4 m/s

Step-by-step explanation:

32.5 in 13 sec

32.5/32.5=1

so

13/32.5 would be the answer

1 meter in 0.4

Answer:

C

Divide 32.5 with 13, because m/s means meters divide by seconds

im not sure tho

HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!

Answers

Answer:

19.04

Step-by-step explanation:

convert 170% into decimal form number:

1.7

Then multiply by 11.2:

1.7 × 11.2 = 19.04

Pls consider marking my answer as Brainliest! It would mean a lot!

In the next several games, the pitcher threw a total of 384 pitches and used a fastball 240 times. What decimal should Juanita use to update her report? Juanita should use the decimal to update her report. How do you know that the answer is a terminating decimal?

Answers

Answer:

0.625

It has 3 digits (finite) after the decimal point.

Step-by-step explanation:

Given that :

Total number of pitches = 384

Total number of fasfballs = 240

To make an update :

Ratio of the number of fastballs and total number of pitches

240 : 384

240/384

= 0.625

The result is a terminating decimal as it has a known number of digits after the decimal point. In the solution above, 0.625 has 3 digits after the decimal point and it is thus a terminating decimal.

y > 3x + 1
2x + 3y 2 6

Answers

Hope this helps I don’t know what your question actually means

15x minus 8 is less than 32

Answers

Answer:

If you want this in an equation, it would be [tex]15x <32[/tex]

If you want the answer to this, it would be [tex]x<2\frac{2}{15}[/tex]

Step-by-step explanation:

Hope this helps:)

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