Oceanside bike rental shop charges seventeen dollars plus seven dollars an hour for renting a bike. Jason paid eighty dollars to rent a bike. How many hours did he have to pay to have the bike checked out?

Answer:

A.   4.5 ft

B.    4 ft

C.    1 ft

Step-by-step explanation:

If you pretend that h is replacing y and d is replacing x and you would graph the equation, then you would get a parabola that opens down.

You would need to find the vertex of the parabola.  The ordered pairs would be (d, h) instead  of the normal (x, y).  

A.  The maximum height will be the h value of the vertex

B.   Let h = 0 and solve the equation for d.  That will give you distance from the stump that the frog landed.

C.  The distance from the log at the maximum height is the d value of the vertex

So, that is what is needed to be done.

Without me going thru all the work, the vertex is (1, 4.5) and the solutions to the equation when h = 0 are 4, -2  (discard -2 since a distance cannot be negative)

So the answer to A is 4.5 ft.

The answer to B is 4ft.

The answer to C is 1 ft.

Now, can you find the vertex on your own and can you solve the equation when h = 0?  I hope so.  OK?

A function assigns the values. The maximum height will be when the horizontal distance is 1feet from the log.

A function assigns the value of each element of one set to the other specific element of another set.

A.) The maximum height of the frog,

h = -0.5d²+d+4

dh/dd = -0.5(2d)+1

dh/dd = -d+1

0=-d+1

d = 1

The maximum height will be when the horizontal distance is 1feet from the log.

h = -0.5(1)² + 1 + 4

h = -0.5 + 1 + 4

h = 4.5

Hence, the maximum height of the frog will be 4.5 feet.

B.) The Distance between the frog and the stump when the frog land can be found,by putting h=0.

0 = -0.5(d)²+ d + 4

d²-2d-8=0

d²-4d+2d-8=0

d(d-4)+2(d-4)=0

d = 4, -2

Since the distance can not be negative, the frog is 4 feet away from the stump when the frog land.

C.) The maximum height will be when the horizontal distance is 1feet from the log.

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Answer:

D

Step-by-step explanation:

(f of g)(x), the composition of the function f with g is defined as follows: (f g)(x). = f(g(x))

Answer:

24

Step-by-step explanation:

6+8=14 14+10=24

Answer:

33

Step-by-step explanation:

The pattern is y = 5x + 8.

So, plugging in 5 for x gives you y = 5(5) + 8 = 33.

Answer:

non the avibe

Step-by-step explanation:

xu x6y8z9vtgkxih 174374t6fivH tin s6d

Answer:

1,3, and 4

Step-by-step explanation:

Answer:

You'll be able to 12 & 6/10 of the bags

Step-by-step explanation:

The rounded version is 12 but since there is a decimal you'll then translate it into a fraction I got the answer I did by dividing 152 by 12 then getting the answer of 12.6666~ I translated the decimal into a fraction

Answer:

6/10 I believe :)

Step-by-step explanation:

Answer:

1.   8

2. 7

3. 8/3

4. c 27

Step-by-step explanation:

1.  Find 1 26/2=13 104/13=8

Just find the unit rate to help you solve

Answer: there were 12 chocolates in each box. (Originally, before any got eaten)

Step-by-step explanation: let x represent the total amount of chocolates in each box.

8x - 3(8) = 72

8x - 24 = 72 add 24 to both sides

8x = 96 divide both sides by 8

X = 12

Answer:

That means you had 48 chocolates in each box

Step-by-step explanation:

Since you eat 3 chocolates from all 8 boxes, you do this:

8 x 3 which = 24

Now since you have 72 chocolates left you do this:

72 - 24 which = 48

So, therefore, there were originally 48 chocolates in each box

(Don't eat so much chocolate lol you could get sick)

Answer:  She needs to sell exactly 173 pies.

Step-by-step explanation: Don't ask me how, but I'll tell you this 1. it wasn't easy and 2. It took me FOREVER. So conclusion- be happy.

Answer:

Step-by-step explanation:

(4,3) and (6,9)

difference of x-coordinates = 6-4 = 2

difference of y-coordinates = 9-3 = 6

distance between points = √(2²+6²) = √40 = 2√10

Answer:

Step-by-step explanation:

Remark

This is actually a six sided figure. That really doesn't matter, but it's interesting to observe. It goes a long way to explaining what is going on. The trick to exterior angles is that as long as the figure is convex ( a closed figure whose lines do not cross), the exterior angles add to 360.

Once you know that, then you know that this figure must have 6 exterior angles and no matter how they are made, their total is 360.

Equation

n + n + n + n + 90 + 90 = 360          Combine like terms.

Solution

4n + 180 = 360                                 Subtract 180

4n = 360 - 180

4n = 180                                            Divide both sides by 4

4n/4 = 180/4

n = 45

Note

Not a simple problem. Thanks for posting

Answer:

12 12 12 is the answer

Step-by-step explanation:

Answer: 12.

Answer:

15 is 125% of 12.

Step-by-step explanation:

Answer:

It looks like the factored form of a polynomial

Step-by-step explanation:

In unfactored form, it would be this:

2r^2 + -2r + 1

Answer:

  -2 7/12

Step-by-step explanation:

Let x represent the unknown number.

  x + (-5 2/3) = -8 1/4

Adding 5 2/3 to both sides of the equation tells us ...

  x = 5 2/3 -8 1/4 = -2 7/12

The other number is -2 7/12.

_____

The difference can be found as ...

  -(8 1/4 -5 2/3) = -(8 3/12 -5 8/12) = -((8 -5) +(3/12 -8/12)) = -(3 -5/12)

  = -(2 7/12)

The height of the tree is 5.7m

Angle of elevation is the angle between the horizontal line and the line  of sight.

Analysis:

The height of the tree and the tree's shadow form a right angle triangle with the line of sight.

let the height of tree be h

tan 50 = h/4.8

h = 4.8 x tan 50

h = 4.8 x 1.191 = 5.7m

In conclusion, the height of the tree is 5.7m

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Answer: (a+b)2=9. a2+2ab+b2=9

Step-by-step explanation:

Answer: 5x4x8x4x5x2x6x8x1

Step-by-step explanation:

Answer:

32 Square centimeters

Step-by-step explanation:

You have to seperate the shape into triangles and rectangles. if you do this, you get 2 identical triangles and 2 different rectangles. one of the rectangles is 8 square cm, the other is 12. you can see that the base of each of the 2 triangles is 3 cm long. 2 halves=1 whole, so the 2 triangles turn into 1 rectangle. therefore, you have to add 12+12+8. That is 32 square centimeters.

Hope my answer helped!

Answer:

150 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - This is the pond in a shape of a prism, it is completely full of

             water. Colin uses a pump to empty the pond. The level goes

             down by 20 cm in the first 30 min.

To find - Work put how many minutes Colin has to wait for the pond

               to completely empty.

Proof -

Given that,

Height of prism = 1 m

Also,

Base of the prism is trapezium and

Sides of the trapezium are 0.6 m and 1.4 m

Height of trapezium is 2 m

We know that,

Area of trapezium = [tex]\frac{1}{2}[/tex]× (sum of sides)× height

                             =  [tex]\frac{1}{2}[/tex]× (0.6 + 1.4)× 2

                             =  [tex]\frac{1}{2}[/tex]× (2)× 2

                             =  2 m²

⇒Area of trapezium = 2 m²

Now,

Volume of prism = Area of trapezium × height of prism

                          = 2 m² × 1 m

                          = 2 m³

⇒Volume of prism = 2 m³

Now,

Given that the level goes down by 20 cm in the first 30 min

We know

100 cm = 1 m

⇒1 cm = [tex]\frac{1}{100} m[/tex] = 0.01 m

⇒20 cm = 20×0.01 m = 0.2 m

⇒The level goes down by 0.2 m in the first 30 min.

Also,

we know that height of water = height of prism = 1 m

So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m

Also,

Volume of Remaining water = Area of trapezium × height

                                           = 2 m² × 0.8 m

                                           = 1.6 m³

⇒Volume of Remaining water = 1.6 m³

Now,

Volume of emptied water = Total Volume - Volume of Remaining water

                                       = 2 m³ - 1.6 m³

                                       = 0.4 m³

⇒Volume of emptied water = 0.4 m³

Now,

0.4 m³ water will be empty in 30 minutes

⇒ 1 m³ water will be empty in [tex]\frac{30}{0.4}[/tex] = 75 minutes

⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes

∴ we get

The remaining water is empty in 120 minutes

So,

Total pond is empty in 120 + 30 minutes

⇒Total pond is empty in 150 minutes

Answer:

any want zo. om. id=2139350377

pass=7neBw6

Answer:

The next one is 64. Can you mark branliest if it's right?

Answer:

F(x) = x^1 * 2

Step-by-step explanation:

Step-by-step explanation:

3 of the 4 options aren't prisms

A is a cuboid

B is a cube

C is a prism

D is a pyramid

Answer:

The answer is D.

I hope this helps.

Have nice day/night!!!!(wherever you are)

Answer:

-3.03

Step-by-step explanation:

12.95 - 15.98 = -3.03

Hope that helps!

Answer: 3.03

Step-by-step explanation:

I did it on a regular calculator if you need to do something like this again.

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Please give me Brainliest

Answer:

D

Step-by-step explanation:

those angles are vertical angles so they are congruent.

Answer:

2x+22

Step-by-step explanation:

Answer:

I think about 2 to 4 times. Sorry if it isn't helpful... O^O