A 2000-kilogram sports car accelerates at a rate of 30 meters per second squared. The velocity of the car is v = at, where a is acceleration in meters per second squared, and t is time in seconds. The kinetic energy of the car is K E = one-half m v squared, where m is the mass in kilograms. Which function represents the kinetic energy of the car after accelerating for t seconds?

Answer: 17 nickels, and 8 dimes.

Step-by-step explanation:

So Miles has 25 coins in his pocket, Suppose that x is the number of nickels, and y is the number of dimes, then we have that:

x + y = 25

And we also know that the total value is $1.65

Then we have that:

x*0.05 + y*0.10 = 1.65

Then we have a system of equations:

x + y = 25

x*0.05 + y*0.10 = 1.65

The first step is isolating one of the variables in one of the equations, i will isolate x in the first one.

x = 25 - y

Now we can replace that in the second equation:

(25 - y)*0.05 + y*0.10 = 1.65

Now we solve this for y.

25*0.05 - y*0.05 + y*0.10 = 1.65

1.25 + y*(0.10 - 0.05) = 1.65

y*0.05 = 1.65 - 1.25 = 0.40

y = 0.40/0.05 = 8

So Miles has 8 dimes.

And:

x + y = 25

x + 8 = 25

x = 25 - 8 = 17

And Miles has 17 nickels.

Answer:

177 girls

Step-by-step explanation:

3:4     = girls:boys        

3:4     =    ?:236

3        =     ?

4        =      236

236 divided by 4 equals 59.

Multiply the number of girls by 59 to get your answer.

3*59=177

3:4          =               177:236

girls:boys                 girls:boys          

Answer:

3 laps

Step-by-step explanation:

I think

Answer: True

Step-by-step explanation:

the first one is straightforward but the next, simply convert 5/7 into decimal form (0.7142857142857142857143) and multiply by 7 which equals 5 which fits the ratio.

Answer:

Factors: (x²y+6)(y²-11)

Step-by-step explanation:

Here's the original equation.

x²y³ - 11x²y + 6y² - 66

Let's separate it into two groups to make it easier.

(x²y³ - 11x²y) + (6y² - 66)

Let's take a look at (x²y³ - 11x²y) first. Do we notice anything that can be removed from the parentheses?

Yes, x²y can be taken from both polynomials to simplify the contents of the parentheses.

Both polynomials have x² and both have at least one y. Combine that to get x²y. That means that within the parentheses y² and - 11 will be left.

So  (x²y³ - 11x²y) becomes x²y (y²-11)

This works because if we multiply x²y * (y² - 11) we get (x²y³ - 11x²)

Let's apply this same idea to (6y² - 66).

6 is the only thing in common between the two polynomials.

If we follow the same steps we get 6 (y²-11).

Notice how when we simplified both groups they each had something on the outside and (y² - 11) in the parentheses?

So lets combine the things that were on the outside of both (y² - 11).

What was on the outside of each? x²y was on the outside for the first one, and 6 for the outside of the second one.

This means that if we combine everything and simplify, the factors we have are (x²y+6)(y²-11).

If you want to confirm, work your way backwards using the distributive property. You'll find that when you multiply (x²y+6) * (y² -11) you'll get = x²y³ - 11x²y + 6y² - 66. That was the original equation, so we know that these are the factors.

Hope that helps!

Answer:

A

Step-by-step explanation:

You divided -7x by -7, the -7's cancel out leaving x

Answer:

Step-by-step explanation:53

The height of the flagpole is 82.5 feet.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

Given that a flagpole has a height of 25 meters.

We know that there is 3.3 feet in 1 meter.

1 meter=3.3 feet.

Now we have to find the height in feet.

So we have to multiply twenty five with three point three

25×3.3=82.5 feet

25 meters=82.5 feet.

Hence, a flagpole has a height of 82.5 feet.

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Answer:

$16.45

Step-by-step explanation:

Divide the total price by the number of tickets.

$65.80/(4 tickets) = $16.45/ticket

Answer: 16.45

Step-by-step explanation:

Total Money = 65.80

Number of tickets Luke buys = 4

Cost of 1 ticket = 65.80/4 = 16.45

Therefore, one ticket costs 16.45

Answer4/8 x 69

Step-by-step explanation:

You add Tekashi

Answer:

17

Step-by-step explanation:

83-15=68

68/4=17

Answer:

time = .8 hours      distance = 4km

Step-by-step explanation:

Answer:

The First on is 0.8 hours

The seconded one is 4 km

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

[tex]9 - 10x = 2x + 1 - 8x[/tex]

[tex]9-10x=-6x+1[/tex]

Subtract 9 from both sides:

[tex]9-10x-9=-6x+1-9[/tex]

[tex]-10x=-6x-8[/tex]

Add 6x to both sides:

[tex]-10x+6x=-6x-8+6x[/tex]

[tex]-4x=-8[/tex]

Divide both sides by -4:

[tex]\frac{-4x}{-4}=\frac{-8}{-4}[/tex]

[tex]x=2[/tex]

Answer:

x = 2

Step-by-step explanation:

9-10x = 2x+1-8x

1. move all like terms to one side

-10x-2x+8x = -9+1

2. simplify

-4x = -8

3. divide the -4 from both sides of the equation

x= -8/-4

4. x=2

Answer:

-64

Step-by-step explanation:

Answer:

36/500

Step-by-step explanation:

The probability that the husband earns less than $25,000 is 0.496.

Given that,

A total of 500 married working couples were polled about their annual salaries, with the following information resulting:

                                              Husband

Wife                                       Less than $25,000   More than $25,000

Less than $25,000              212                               198

More than $25,000              36                                 54

Thus, for instance, in 36 of the couples, the wife earned more and the husband earned less than $25,000. If one of the couples is randomly chosen.

We have to determine,

What is the probability that the husband earns less than $25,000?

According to the question,

The probability that the husband earned less than $25,000 is,

Total number of couples = 500

The count of husbands earning less than $25,000 is 212 and 36.

[tex]\rm Probability = \dfrac{Total \ number \ of \ couples}{Husband \ earn \ less \ than \ 25000}\\\\ Probability= \dfrac{212+36}{212+36+198+54}\\\\Probability = \dfrac{246}{500}\\\\Probability = 0.496[/tex]

Hence, The probability that the husband earns less than $25,000 is 0.496.

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Answer:

The 12.6 oz bottle

Step-by-step explanation:

0.19/oz for the 12.6 oz

0.21/oz for the 25.3 oz

The size is the better buy based on the unit price is 12.6 oz bottle if a certain shampoo is available in two sizes.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

A certain shampoo is available in two sizes. A 12.6-ounce bottle costs $2.37. A 25.3-ounce bottle costs $5.24.

Let the unit price be x:

= 0.19/oz for the 12.6 oz

x = 0.21/oz for the 25.3 oz

Thus, the size is the better buy based on the unit price is 12.6 oz bottle if a certain shampoo is available in two sizes.

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Answer:

39.26 in

Step-by-step explanation:

This problem, bothers on the mensuration of flat shapes.

we know that the perimeter of a circle is the same as the cirmcumference

we also know that the circumference is given as

C= 2πr

For circle A

C=2*3.124*2

C= 12.56 in

For circle B

C=2*3.124* 3 1/4

C= 2*3.142*13/4

C= 2*3.142*3.25

C= 20.42 in

For circle C

C=2*3.124*1

C= 6.284 in

Now the perimeter of all the circles ABC is

=12.56 +20.42 + 6.284

=39.26 in

Hey there! I'm happy to help!

We want to multiply each term inside the parentheses by the number on the outside.

-3(-7)=21

-3(3z)=-9z

Therefore, our expression is 21-9z.

Now you know how to use the distributive property! Have a wonderful day! :D

Answer: LCM =96

GCF=4

Step-by-step explanation:

Answer:

5000

Step-by-step explanation:

The answer to 5x10^3 is 5000

Answer-  A,D,E

Step-by-step explanation:

A two column table with 5 rows. The first column, x, has the entries, negative 2, 0, 2, 4. The second column, y, has the entries, 6, 3.5, 1, negative 1.5.

Which equations represent the data in the table? Check all that apply.

y – 6 = y minus 6 equals StartFraction negative 5 Over 4 EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2)

y – 2 = –y minus 2 equals negative StartFraction 5 Over 4 EndFraction left-parenthesis x minus 1 right-parenthesis.(x – 1)

y + 2 = y plus 2 equals StartFraction negative 5 Over 4 EndFraction left-parenthesis x minus 6 right-parenthesis.(x – 6)

y – 1 = –y minus 1 equals negative StartFraction 5 Over 4 EndFraction left-parenthesis x minus 2 right-parenthesis.(x – 2)

y – 3.5 = –1.25x

Im just rephrasing the question

Answer:

D. (2,-15)

Step-by-step explanation:

Hope this helps!

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

Explanation:

We can set up the following proportion

a/b = c/d

where the numerators 'a' and 'c' represent the scaled down dimensions, and b and d represent the actual real life dimensions.

For this particular problem, we have to keep in mind that 'a' and 'c' are in cm; while b and d are in inches.

So we could have

Since d is in inches, this makes x be in inches as well.

------------------

Let's solve for x

a/b = c/d

16.8/84 = 15/x

16.8x = 84*15 ..... cross multiply

16.8x = 1260

x = 1260/16.8

x = 75

The suspect is 75 inches tall. This converts to 75/12 = 6.25 feet or 6 feet 3 inches (since 0.25 ft = 0.25*12 = 3 ft)

Answer:

3

Step-by-step explanation:

Answer:

2/3 ÷ 4=1/6

Step-by-step explanation:

2/3÷4=2/3×1/4

=1/3×2

=1/6

Answer:

Already rounded to the nearest tenth.

2236.8

Step-by-step explanation: k

Answer:

2240

Step-by-step explanation:

find the number in the ten place (3) and look one place to the right for rounding digit 6. Round up if this number is greater than or equal to 5 and round down if it is less than 5.

Answer:

Your distance: 1800 miles    Your friend's distance: 1575 miles

Total: 3375 miles

Step-by-step explanation:

Distance= S * T

The s stands for speed and t for time.

Your distance:

D= 45 * 40

D= 1800 miles

Your friend's distance:

D= 35 * 45

D= 1575 Miles

Total distance: 1800 + 1575 = 3375 MILES

HOPE IT HELPED

Answer:B. 42, 43

Step-by-step explanation:

STEP 1  Listing out the data set

Country    Time with dad

Belgium    30

Canada    44

China      54

Finland    50

Germany  36

Nigeria     42

Sweden    46

United States 42

STEP 2--- finding the mode and median

Mode----The mode of this  data set is the number that occurs most frequently in this research date.

Time with dad in ascending order is given as 30, 36, 42, 42, 44,46,50,54

The number that occurred the most is 42 = mode

Median The median is the middle value in a data set

Since these data set is an even number, we take the average of the two middle numbers

Arranging in ascending order, we have

30, 36, 42, 42, 44, 46, 50, 54---------------42 and 44 are the middle numbers

42+ 44/2 =43

Therefore mode and median are 42 and 43 respectively