A police car drives for 11/12 hours with a constant speed of 84 mph and then for another 2 hours 15 minutes with a constant speed of 72 mph. What distance did it go?

Answer:

Step-by-step explanation:

Function to be graphed is,

h(x) = 2(x - 3)²

Function 'h' is a quadratic function.

Since, the coefficient of the leading term (term with the highest power) is positive, parabola will open upwards.

Both the ends of the parabola will be upwards (towards positive infinity).

As x approaches to negative infinity, h(x) approaches to positive infinity.

As x approaches to positive infinity, h(x) approaches to positive infinity.

A) As x approaches negative infinity, h(x) approaches positive infinity.

B ) As x approaches positive infinity, h(x) approaches positive infinity.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Function to be graphed is,

h(x) = 2(x - 3)²

Function 'h' is a quadratic function.

Since the coefficient of the leading term (a term with the highest power) is positive, the parabola will open upwards.

Both the ends of the parabola will be upwards (towards positive infinity).

Therefore As x approaches negative infinity, h(x) approaches to positive infinity. As x approaches positive infinity, h(x) approaches to positive infinity.

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Answer:

3/16 miles/minute

Step-by-step explanation:

A rate of change describes how an output quantity changes relative to the change in the input quantity.

Points given:

Input        Output

  2            1/6

  3          17/48

  4          13/24

  5          35/48

  6          11/12

Here input values describe the time in minutes from 2 to 6 and output values describe the distance in miles from 1/6 to 11/12

Calculating the rate of change using the first two pairs of input-output values

We will get the same result if we take any other ordered pair of input and output values.

Answer:

it is 3/16 miles per minute

Step-by-step explanation:

...

20 - 2t = (1/2)t + 28

- 2.5 = 8

t= - 3.2

Answer:

3n+7=16;n=3

20-2t=

Step-by-step explanation:

I just did it

Answer:

D: 81

Step-by-step explanation:

3*3=9

9*3=27

27*3=81

Answer:

the answer is 81

Step-by-step explanation:

3×3 3×3

∨    ∨

9   ×   9

     ∨

     81

hope this helped!!! :)

Answer:

I disagree with Frank

Answer:

Disagree

Step-by-step explanation:

Remember to follow the order of PEMDAS.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction.

In this case, the first step should be to solve for [tex]10^{4}[/tex].

[tex]10^4 = 10 * 10 * 10 * 10 = 10,000[/tex]

Next, multiply by 8:

[tex]10,000 * 8 = 80,000[/tex]

80,000 is your answer, so I disagree.

~

Answer:

m = 1/2

Step-by-step explanation:

Use two points on the line given.

(0 , 2) & (-4 , 0)

You are solving for the slope. The slope formula:

m (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (-4 , 0)

(x₂ , y₂) = (0 , 2)

Plug in the corresponding numbers to the corresponding variables:

m = (2 - 0)/(0 - (-4))

Simplify:

m = (2)/( 0 - (-4))

m = (2)/(0 + 4)

m = 2/4

Simplify the slope. Divide the common factor 2 from both the numerator and denominator:

m = (2/4)/(2/2) = 1/2

1/2 is your slope.

~

Answer:

0.5

Step-by-step explanation:

the rise is 4 and the run is 8 so it would be 4/8 or 1/2 which would equal 0.5

Answer:

[tex] - 3( - 10) \\ = + 30[/tex]

Step-by-step explanation:

- and - =+

that's why when we multiply -3 with -10 then product is positive i.e +30

hope it helped you:)

thanks!

Answer:

Subtraction Property of Equality to subtract 6 from both sides

Step-by-step explanation:

By subtracting, you cancel out 6 on the left and you move the constant over to 40. 17h = 34

Answer:

Protons and neutrons each count for one AMU, and the electron counts for zero AMU. So, if the atomic mass of oxygen is 16, that means we have a total of 16 protons and neutrons. 16 total protons and neutrons minus 8 protons leaves us with 8 neutrons.

Answer:

420:280

Step-by-step explanation:

first you add 3:2 up which comes to 5.

700 divided by 5 = 140.

3:2 means that 3 will get 3 lots of 140 and 2 will get 2 lots of 140.

3x140= 420.

2x140= 280

the ratio is 420:280

Answer:

Elena needs to sell 60 tickets

Answer:

Elena must sell 90 tickets to earn $900

Step-by-step explanation:

Divide the total money needed by how much each ticket costs:

900 ÷ 10 = 90

If you're talking about how many more tickets are needed:

Subtract the total tickets needed by how many tickets Elena already sold

90 - 30 = 60 more tickets needed

I hope this helped!

Answer:

Hey!

Your answer is [tex]1\frac{5}{8}[/tex]!

Step-by-step explanation:

Also can be written as 41/8!

HOPE THIS HELPED!

Answer:

Step-by-step explanation:

8x + 11 = 12x -1

-4x + 11 = -1

-4x = -12

x = 3

Answer:

After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? A. 44.70 US dollars.

Answer:

d, b , a

Step-by-step explanation:

Diagram on left

As x → + ∞, y → + ∞, as x → - ∞ , y → - ∞ ( as explained in previous question ) d

Top diagram on right

As x → + ∞, y → 0 and x → - ∞ , y → 0

This means that as x increases to the right , y approaches the x- axis (y → 0)

and as x increases to the left, y approaches the x- axis (y → 0 ) b

Lower diagram on right

As x → + ∞, y → + ∞ and as x → - ∞, y approaches the x- axis (y → 0 ) a

Answer:

Donna spent 80% on fruit.

Step-by-step explanation:

First, we know that she spent $64 on fruit. We also know that she spent a total of $80. Then, we take 64/80. This gives us 0.8. Move the decimal two to the right and you have the percentage, 80%.

Answer:

-8.0625

Step-by-step explanation:

Answer:

-8.0625 as the decimal

Answer:

15

Step-by-step explanation:

pretty sure bc they are supposed to be the same/ a reflection of each other and 4 times 15 is 60

Answer: Translation

Step-by-step explanation: One-to-one correspondence between two sets of points.

Step-by-step explanation:

400 meters is standard lap distance for a race track. 2 x 50 meters is lap distance in International pools. A lap of 440 yards is 1/4 mile. So 4 laps/mile.

Answer:

It would take her 5 track practices to run 25 miles because she runs 5 miles each practice. We can divide 25 by 5 which gives us 5. So it would take  5 track practices for Latrell to run 25 miles. Hope this helps.

Step-by-step explanation:

Answer:

N=-22

Step-by-step explanation:

We first highlight all the information that is important and make an equation based on that. From that, we get 6(N+15)=-42. From there, we divide both sides by 6 to get N+15=-7. We subtract 15 from both sides to get N =-22, which is our answer.

Answer:

S = 1

Step-by-step explanation:

If you add a positive 1 to -20, you would get -19

Answer:

S=1

Step-by-step explanation:

Add 20 to both sides:

S+(-20)=-19

+20 +20

S=1

Answer:

The correct answer is "B"

Step-by-step explanation:

m=-1/4

Hope this help!

have a nice day!

Answer:

B

Step-by-step explanation:

So we have the equation:

[tex]\frac{3m-3}{5}=\frac{2m-1}{2}[/tex]

First, let's get rid of the fractions. Multiply both sides by the LCM of 5 and 2, which is 10:

[tex]10(\frac{3m-3}{5})=10(\frac{2m-1}{2})[/tex]

On the left, the 10 gets reduced to 2. On the right, the 10 gets reduced to 5. Thus:

[tex]2(3m-3)=5(2m-1)[/tex]

Distribute:

[tex]6m-6=10m-5[/tex]

Subtract 6m from both sides:

[tex]-6=4m-5[/tex]

Add 5 to both sides:

[tex]-1=4m[/tex]

Divide both sides by 4:

[tex]m=-\frac{1}{4}[/tex]

And we're done!

The answer is B.

Answer:

The answer would be C, since numerical expressions only contain numbers.

Answer:

The answer is A even though variables are letters they are not symbols like %,$,# etc. All the other ones are correct besides C. Hope this helps

Step-by-step explanation:

Answer:

I think it would be 4×n-3 = n+12

Answer:

3<4x=x+12

Step-by-step explanation:

Let the number be x

Let the number be x4×X=4x

Let the number be x4×X=4x3<4x=x+12

Answer:

70.01.

Step-by-step explanation:

159 - 88.99

= 159 - 90 + 1.01

= 69 + 1.01

= 70.01.

Answer:

Hanna converted the number:

0.00000305

to:

3.05x10^6.

Now, when we have:

Ax10^n

This will "move" the value of A n times to the left, adding zeros when the decimals of A run over.

if we have

Ax10^-n

This will move A n times to the right.

Then the number:

3.05x10^6 = 3050000

This is clearly not the number that Hannah wanted to write.

The problem is that the exponent should be negative, if we have instead:

3.05x10^-6

We move our number 6 times to the right, adding zeros when necessary.

3.05x10^-6 = 0.00000305.

So Hannah is incorrect, she should wrote 0.00000305 = 3.05x10^-6

Answer: D. Hannah is not correct because the exponent should be -6.

Hope this helps!

Answer:

14 prisms can be accomodated

Their total volume would be 504 in³

Step-by-step explanation:

First, we have to figure out the angle at the vertex.  For that, we need the Law of cosines. c²=a²+b²-2ab*cos(c)

4²=9²+9²-2(9)(9)cos(c)

16=81+81-162cos(c)

16-81-81=-162cos(c)

-142=-162cos(c)

-142/-162=cos(c)

.9=cos(c)

use the inverse

cos^-1(.9)=c

25.8=c

Now that we know c=25.8, we can figure out how many cheese wedges there would be in the circle.

36÷25.8=14

Now we figure out volume.

1/2(9)(4)(2)=36 in³

The total volume would be

14x36=504 in³