Greg and Marti are racing remote control cars. The race starts at t=0 and the car’s distance is measured from the start line. Both cars have a constant rate of change. Information about each of the cars during the race is shown below.

The race was over after 10 seconds. The winner of the race is defined by the person who is farthest from the start line. Whose car should be crowned the winner? Use mathematics to justify your answer.

Answer:

  5 hours

Step-by-step explanation:

The rental option for h hours costs ...

  r = 30h

The purchase option for h hours costs ...

  p = 125 +5h

These costs are the same when ...

  r = p

  30h = 125 +5h

  25h = 125 . . . . . subtract 5h

  h = 5 . . . . . . . . . divide by 25

Karrisa must ski for 5 hours for the prices to be the same.

Answer:

no bc you have two of the same x's

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ ACD is an exterior angle of the triangle, thus

43 + 5x - 48 = 3x + 57 , that is

5x - 5 = 3x + 57 ( subtract 3x from both sides )

2x - 5 = 57 ( add 5 to both sides )

2x = 62 ( divide both sides by 2 )

x = 31

Thus

∠ ABC = 5x - 48 = 5(31) - 48 = 155 - 48 = 107°

∠ ACD = 3x + 57 = 3(31) + 57 = 93 + 57 = 150°

Answer:

- The equation that represent the cost C of renting a car and driving x miles is  C = $39.11 + $0.50x

- $100 can travel 121.78 miles

Step-by-step explanation:

From the question, a rental company rents a luxury car at a daily rate of 39.11 ​$ plus​ $.50 per mile, that is

$0.50 is added to the initial $39.11 for every mile.

The equation that represent the cost C of renting a car and driving x miles is

C = $39.11 + $0.50x

Now, to determine how many miles 100$ can travel,

we will put C = $100, and determine x in the above equation

$100 = $39.11 + $0.50x

$100 - $39.11 = $0.50x

$60.89 = $0.50x

x = $60.89/$0.50

x = 121.78

Hence, $100 can travel 121.78 miles

Answer:

a

Step-by-step explanation:

Answer:the value of AC is 15

Answer:

The answer would be A. -4

Step-by-step explanation:

If you right it out like x-6=5(x+2), then you distribute the 5, you get: x-6=5x+10. Then subtract x from both sides, you get: -6=4x+10. Subtract 10 from both sides, you get: -16=4x. The all you have to do is divide both sides by 4, and you get: -4=x

answer:t>7

6t - 1> 4t + 13 Move the terms 6t - 4t> 13 + 1 Group the like terms Calculate 2t> 14 Divide both sides Solution t> 7 Alternate between E (7, + 0) Explain the steps> II

Answer:

Yes it does matter

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Yes, it does matter. If the information isn't in order and you decided you want to write it any kind of way, you won't get the results you want. So you need to make sure it's in order.

Answer:

yes

Step-by-step explanation: k

Answer:

r+a+e+f^31+b

Step-by-step explanation:

Self-explanatory

It Would Be 16.74

Calculate the cross product of two given vectors.

Use determinants to calculate a cross product.

Find a vector orthogonal to two given vectors.

Determine areas and volumes by using the cross product.

Calculate the torque of a given force and position vector

Answer:

Step-by-step explanation:

[tex] \frac{1.09}{3.08} = 0.3538[/tex]

Answer:

Wait wut

Step-by-step explanation:

Answer:

The inverse is f^-1 (x) = 6.6x + 4

Factored is 0.15 (x - 4)

I hope this helps

if you could, feel free to mark me Brainliest it would be much appreciated :D

Answer:

Step-by-step explanation:

These are what the symbols mean so you can better understand them

p: I like to go to the beach

q: I like to eat ice cream

r: I do not enjoy rainy days

^ = means OR so a that has or in it.

v = means AND so any sentance with and in it

~ = not so any phrase that condridicts what the origional P,Q, and/or R

∴ = Therefore so any phrase with therefore.

So; p ∧ q would be P... OR... Q  acording to the key above would be

I ilke to go to the beach OR I like to eat icecream.

You can figure out the rest! Hope this helps you!

Answer:

~q v r

Step-by-step explanation because I mart

Answer:

log4+logx-5zlogy

Answer:

The y-intercept of the function is 4

Step-by-step explanation:

The y-intercept is the point at which the graph crosses the y-axis.

Answer:

60 square foot

Step-by-step explanation:

Perimeter of a rectangular garden = 58 foot

Let x and y denote length and width of the rectangular garden.

2 (Length + Width) = Perimeter of the rectangular garden

[tex]2(x+y)=58\\x+y=\frac{58}{2}\\ x+y=29[/tex]

So,

length = x

width = y = [tex]29-x[/tex]

The length is reduced by 7 feet and the width becomes half.

New length = [tex]x-7[/tex]

New width = [tex]\frac{1}{2}(29-x)[/tex]

New perimeter = 34 foot

[tex]2[(x-7)+\frac{1}{2}(29-x)]=34\\ 2[2(x-7)+(29-x)]=2(34)\\2(x-7)+(29-x)=34\\2x-14+29-x=34\\2x-x-14+29=34\\x+15=34\\x=34-15\\x=19[/tex]

So,

New length [tex]=x-7=19-7=12\,\,foot[/tex]

New width = [tex]\frac{1}{2}(29-19)=\frac{1}{2}(10)=5\,\,foot[/tex]

Area of the new smaller garden = New length × New Width

= 12 × 5

= 60 square foot

Answer:

4/100

Step-by-step explanation:

Just multiply across.

1x4=4

10x10=100

1/10x4/10=4/100

Hope this helps! Have a great day!! C:

Answer:

The answer for this question is 1/25.

Answer:

10 off

Step-by-step explanation:

3times 8= 24

3 times 2= 6

then add together-10 dollars

Answer:

Slope = 6

Step-by-step explanation:

Reading your description carefully, the equation of line has been given to be

When we compare this with the standard form of a straight line

We immediately see that the slope or gradient m = 6.

Alternatively, when we consider the coordinates of the points mentioned, we have

(1, 5)    ;     (0, -1)     ;     (-1, -7)

We can take any two points out of these three and calculate the slope using the formula

For example, let us consider the points (1, 5) and (-1, -7)

Here x₁ = 1; x₂ = -1 and y₁ = 5; y₂ = -7

Plugging the numbers in the above formula, we have

This agrees with what we calculated directly from the equation of the line!

Hence, slope of the line on the graph = 6

The slope of the line in simplified form is -1

Find the required diagram attached.

The formula for calculating the slope of a line is expressed as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Using the coordinate points (0, -2) and (-2, 0)

Substitute the given coordinates into the formula:

[tex]m=\frac{0-(-2)}{-2-0}\\m=\frac{0+2}{-2}\\m=\frac{-2}{2}\\m=-1[/tex]

Hence the slope of the line in simplified form is -1

Learn more here: https://brainly.com/question/17003809

Answer:

her you go

Step-by-step explanation:

Answer: The answer would be x3 each number in y column.

Explain: When you multiply 3 by the x column, it'll show 3 times more in the y column.

2 × 3 = 6

5 × 3 = 15

And so on.

Therefore, your answer is it multiples 3 times each number.

#LearnWithBrainly!

Answer:

False.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The simplest way to create a class with one one instance is to use an enum. public enum Singleton { INSTANCE } You can compare this with Steve Taylor's answer to see how much simple it is than alternatives. BTW: I would only suggest you use stateless singletons. If you want stateful singletons you are better off using dependency injection. ( You can create more than one tho )

But, the singleton class means you can create only one object for the given class. You can create a singleton class by making its constructor as private, so that you can restrict the creation of the object. Provide a static method to get instance of the object, wherein you can handle the object creation inside the class only.

Hope this helps! <3

Answer:

Assuming you are asking for the slope which is 3 or in the equation format y=3x

Step-by-step explanation:

you must find the distance in the y- values and the x values, how each value increases or decreases. You may have heard of the phrase rise/run. To get to the pint (2,6) from (1,3), you must rise 3 units and move 1 unit. If you were to follow the rise/run method, you will need to divide the two numbers. In this case you will be dividing 3/1 which equals you. Then you must plug that number into the formula (y=mx+b).

Answer:

x ≤ 19

Step-by-step explanation:

The instructions here are probably "solve for x."  Please include them.

4 - x + 6^2 ≥  21

becomes 4 - x + 36 ≥  21

Now combine like terms.  4 and 36 combine to 40:  40 - x ≥ 21, and so:

19 - x ≥ 0

Adding x to both sies results in

x ≤ 19

Please, include the instructions when you post a question.  Thanks.