6. Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation. y=4+1.50

7. Use the equation you wrote in problem 6 to complete the table. 2 4 6 8 Hours (x) Total Cost (y) - - - - ​

Answer: For time t ≥ 0 hours, let r(t) = 120 1 − e−10t2 represent the speed, in kilometers per hour, at which a ()

car travels along a straight road. The number of liters of gasoline used by the car to travel x kilometers is −x 2

modeled by g(x) = 0.05x 1 − e . ()

(a) How many kilometers does the car travel during the first 2 hours?

(b) Find the rate of change with respect to time of the number of liters of gasoline used by the car when

t = 2 hours. Indicate units of measure.

(c) How many liters of gasoline have been used by the car when it reaches a speed of 80 kilometers per

  (a)

(b)

hour?

∫ 2 r (t ) dt = 206.370 kilometers 0

dg dg dx dx dt=dx⋅dt; dt=r(t)

2 : {1 : integral 1 : answer

3:{2:useschainrule

1 : answer with units

   dg dt

t=2

dg

= dx ⋅r(2)

x=206.370

= (0.050)(120) = 6 liters hour

    (c)

Let T be the time at which the car’s speed reaches 80 kilometers per hour.

Then, r(T ) = 80 or T = 0.331453 hours. At time T, the car has gone

x(T ) = ∫ T r (t ) dt = 10.794097 kilometers 0

and has consumed g(x(T )) = 0.537 liters of gasoline.

X=2.5

Step-by-step explanation:

0.5=1/2

5/2 = 2.5

Answer:

y=3x-1

Step-by-step explanation:

Convert -1/3 to 3, since its perpendicular. then plug (2,5) for y=3x+b. The answer should be y=3x-1

Answer:

3 3/4 yards of ribbon my dudeeee

Answer:

oof

Step-by-step explanation:

Answer:

I’m pretty sure the answer to this would be 11- but it could also be eight so check that but I’m pretttyyyy sure it’s 11. I hope that helps you

Step-by-step explanation:

Answer: $30 and 1 cent more

$60.50 - $30.50 = $30

0.12 - 0.11 = 0.01

I hope this helps.

Answer:

c hope this help

Step-by-step explanation:

Answer:

It’s A. 42

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:b) intersecting

Answer:

x = 5/7 -> 0.714285 which to the nearest tenth would be 0.7

Step-by-step explanation:

is it x*2 or x^2?

If it were x to the power of two, then the answer would be about x1 = 0.594875 and x2 = 8.40512

Answer:

Step-by-step explanation:

2a-7+15-5a

2a-5a-7+15

-3a+8

The expression which is equivalent to (2a - 7) + 5(3 - a) would be; -3a+8

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We have been given an expression as;

(2a - 7) + 5(3 - a)

Therefore, solving it further;

2a-7+15-5a

Combine the like terms;

2a-5a-7+15

Then we get;

-3a+8

Hence, the expression which is equivalent to (2a - 7) + 5(3 - a) would be; -3a+8

To know more about an expression follow;

brainly.com/question/19876186

#SPJ2

Answer:

x=20

Step-by-step explanation:

3x+15=4x-5

20=x

Answer:

The measure of angle x is 68°

Step-by-step explanation:

The isosceles triangle has two sides equal, the angle between these two sides is called the vertex angle, the other two angles are called the base angles and they are equal in measures

In the given figure

∵ An isosceles Δ has a vertex angle of measure 68°

∴ The other two angles are equal in measure ⇒ base angles

→ The sum of the measures of the interior angles of a triangle is 180°

∴ The sum of the measures of the base angles = 180° - 68°

∴ The sum of the measures of the base angles = 112°

→ Divide their sum by 2 to find the measure of each angle

∵ The measure of each base angle = 112° ÷ 2

∴ The measure of each base angle = 56°

∵ There are two intersected segments

∴ There is a pair of vertically opposite angles

∵ The other isosceles Δ has a vertex angle of measure x

∵ A base angle of the 1st Δ and a base angle of the 2nd Δ are vertically

   opposite angles

∴ They are equal in measure

∴ The measure of the base angle of the 2nd Δ = 56°

∴ The two base angles are equal in measure

∴ The measure of each base angle is 56°

→ The sum of the measures of the interior angles of a triangle is 180°

∵ 56° + 56° + x = 180°

∴ 112° + x = 180°

→ Subtract 112 from both sides

∴ x = 68

∴ The measure of angle x is 68°

Answer:

Step-by-step explanation:

7.49+6.21= 13.70

Answer:

21.66

Step-by-step explanation:

Answer:

Step-by-step explanation:

z = whole root (x^2 + 9)

Answer:

80 / 5 = 40 / 5 + 40 / 5 = 10 + 6 = 16

Step-by-step explanation:

80 / 5 = 16

__ / 5 + __ / 5

You can do 80 / 2 to fill in those two blanks because the answer needs to equal the same as 80 / 5

80 / 2 = 40

40 / 5 + 40 / 5

8 + 8 = 16

the third blank needs to also equal 16. So you can do 16 - 6 to know what fills in the blank.

16-6

10

10+6 = 16

The last blank must equal the same as all the other equations so 16 would fill it.

If you need further help, don't be afraid to reach out with any questions. I hope this helps!

Answer:

80/5= 50/5 + 30/5= 10 + 6= 16

Answer:

D

Step-by-step explanation:

We will let d represent the amount of dimes Angela has.

Angel has 5 fewer quarters than twice the number of dimes.

Twice the number of dimes will be 2d.

Then, 5 fewer will yield 2d-5.

Therefore, the amount of quarters Angela has is 2d-5.

Then, the total amount of coins (dimes and quarters) together, will be:

[tex]d+(2d-5)[/tex]

The first part is the amount of dimes.

And the second part is, as we determined, the amount of quarters.

Therefore, our answer is D.

Answer:

D)  y = 7x + 1

Step-by-step explanation:

Slope-incercept form is y = mx + b in which m = slope and b = y-incercept

The line crosses through (0,1), which means the y-intercept is 1

Plug the given numbers into that formula:

y = 7x + 1

Answer:

D). Mode

Step-by-step explanation:

I hope this helps!! Have a good day!

Answer:

they all are.

Step-by-step explanation:

They all are a measure of central tendency Standard deviation is not. Hope this helps :D

Answer:

123 PER PERSON

Step-by-step explanation:

All you have to do is divide 2,460 by 20 to get 123

Answer:

-63q-54

Step-by-step explanation:

When using the distributive property, you multiply everything inside of the parentheses by the number outside of the parentheses.

9(-7q-6)

-63q-54

Hope this helps, and have a great day o(*￣▽￣*)ブ

Answer:

14/8 = 1 3/4

48/9 = 5 1/3

Step-by-step explanation:

14/8 = 1 6/8

6/8 = 3/4

14/8 = 1 3/4

48/9 = 5 3/9

3/9 = 1/3

48/9 = 5 1/3

Answer:

Ellen and Blake answered 20 questions correctly since Ellen had 0.8 correct and that is 80% same with Blake

Stephen scored a .84 or an 84%

I hope this helps :)

Step-by-step explanation:

plz mark B R A I N L I E S T

Answer:

Stephen: 21

Ellen: 20

Blake: 20

Step-by-step explanation:

If youre looking for more in depth answers:

Stephen received a 21 / 25 (84%)

Ellen received a 20 / 25 (80%)

Black received a 20 / 25 (80%)

all triangles are 180 always. make a equation 2x+x+x+8 then combine like terms so it will be 4x+8 then divide by 4 on bith sides x=2

Answer:

c.

Step-by-step explanation: