What is the average rate of change of the functionf(x)=20(14)x from x = 1 to x = 2?



Enter your answer, as a decimal, in the box.

In two significant figures it is 0.067.

Answer:

5.4 feet

Step-by-step explanation:

Let the reference line [tex]A_0B_0[/tex] represents the sea level without any elevation.

At 1 P.M. the ocean surface was at an elevation of 2.2 feet along the line [tex]A_1B_1[/tex] in the figure and the surf shop was  8.2 feet above of this elevated ocean's surface along the line [tex]A_2B_2[/tex] in the figure.

Similarly, at 7 P.M. the ocean surface was at an elevation of -2.4 feet along the line [tex]A_3B_3[/tex] in the figure and the deck in the restaurant was  8.2 feet above of this elevated ocean's surface along the line [tex]A_4B_4[/tex] in the figure.

From the figure, the distance between the deck and the ocean's surface at 1 P.M.= The distance between the lines [tex]A_1B_1[/tex] and [tex]A_4B_4[/tex].

[tex]d= 10- (d_1+d_2)[/tex]

[tex]=10-(2.2+2.4)[/tex]

=5.4 feet

Hence, the distance between the deck and the ocean's surface at 1 P.M. is 5.4 feet.

The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.

This is a problem of relative and absolute distances. First, we determine the absolute elevation of the surf shop at 1 P.M.:

[tex]x_{1} = 8.2\,ft + 2.2\,ft[/tex]

[tex]x_{1} = 10.4\,ft[/tex]

Now we determine the absolute elevation of the deck at 7 P.M.:

[tex]x_{2} = 10\,ft - 2.4\,ft[/tex]

[tex]x_{2} = 7.6\,ft[/tex]

Lastly, we calculate the elevation of the deck relative to the ocean surface at 1 P.M.:

[tex]x' = 7.6\,ft - 2.2\,ft[/tex]

[tex]x' = 5.4\,ft[/tex]

The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.

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Answer:

Is the answer -3x-y. If it is thank me plz.

Step-by-step explanation:

Answer:

3 and 5

Step-by-step explanation:

Hope this helped :)

I did the same assignment and it was right!

Answer:

here is the answer

Step-by-step explanation:

Answer:

Barry gets 300 first

Cheri gets 30 first

Barry gets 100 first

Representations:

Barry's profit = 5c + 20

Cheri's profit = 2c + 40

Step-by-step explanation:

well Barry's pprofit is

B = 5c + 20

and Cheri's profit is

C = 2c + 40

let's see who will get 300 first:

300 = 5c + 20

280 = 5c

56 = c

300 = 2c + 40

260 = 2c

130 = c

SO for 300 it is Barry who gets it first... same steps for others

Answer:

m of 2=36

Step-by-step explanation:

You see that square box at the bottom of the angle? That means that both angles are equal to 90 degrees. so if you have the measure of 1 which is 54 you can set up a simple equation and solve it

90=54 + x    which would equal 36

hope this helps :)

Answer: Domain: {x : 0≤ x ≤50   }

Step-by-step explanation:

Given: The total amount of money Raul will make from selling X coupon books is represented by a function.

[tex]f(x)=20x[/tex]

Here, X= Number of coupon books .

Raul has 50 coupon books to sell.

So, 0≤ x ≤50  , as it is possible that non of that book will sell.

Hence, Domain: {x : 0≤ x ≤50   }

Answer:

1/4

What is 3/12 Simplified? - 1/4 is the simplified fraction for 3/12.

Step-by-step explanation:

Answer:

350 kilometers

Step-by-step explanation:

The legend states that 1 cm = 50 km

So if you do 7cm times 50

7 × 50 = 350

Answer:

y = 3 x − 29

Step-by-step explanation:

First, let's find the slope of the line  

y = 3 x + 2

As the equation is already in slope-intercept form  

y = m x + c

Slope =  3

Let a point  ( x , y )  be on the new line.

By finding the slope again,

y − 1 x − 10 = 3

y − 1 = 3 ( x − 10 )

y − 1 = 3 x − 30

Which can then be converted to different forms:

Standard form:  

3 x − y = 29

Equation form:  

3 x − y−29 = 0

Slope-intercept form:  

y = 3 x − 29

graph{3x-y=29 [-32.3, 47.7, -34.1, 5.9]}

Answer:

Yes, y=5x is proportional. Hope this helps!

Answer:

P is you pass the class, so it's the hypothesis in the conditional. And Q is the conclusion, which ic you got to the next grade.

Step-by-step explanation:

In order to got to the next grade, you need to pass the class.

or

If you pass the class, you go to the next grade.

Answer:

yeah .It can be measured

Answer:

Part 1:

Q’ = (2, -3)

Part 2:

R’ = (-3, -4)

Hope this helps!

Answer:

The table that starts with (-3, -1)

Step-by-step explanation:

For a table to represent a function the x value has to be different number. Such as, the other tables one has two -5, two -2, two -4 and etc. Do you get it

Answer: the first box

-3       -1

0         0

-2         -1

8          1

Step-by-step explanation:  the x value can not repet it self but the y value can

8 miles is equal to 12.9 kilometers .

Given,

Convert 8 miles into kilometers  .

Now,

From the metric system of unit conversion table we see that;

1 kilometer = 1000 meters (m)

1 meter = 100 centimeters (cm)

1 centimeter = 10 millimeters (mm)

Here we need the conversion factor that includes miles,

So according to the table 1 mile is equal to 1.609 kilometers  .

Then,

8 miles will be equal to:
8*1.609

= 12.9 kilometers  .

Hence the value of 8 miles in km is equal to 12.9 kilometers .

Know more about conversion,

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Answer:

x=4

Step-by-step explanation:

5(x-10) = 30- 15x

5x - 50= 30 - 15x

+15x              +15x

20x - 50 = 30

       +50    +50

20x = 80

/20     /20

x = 4

Hope this helps!

Answer:

1.7r

Step-by-step explanation:

Answer:

[tex]\boxed {x = 8}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]4(2x - 3) = 52[/tex]

-Divide both sides by [tex]4[/tex]:

[tex]2x - 3 = \frac{54}{4}[/tex]

[tex]2x - 3 = 13[/tex]

-Add both sides by [tex]3[/tex]:

[tex]2x - 3 + 3 = 13 + 3[/tex]

[tex]2x = 16[/tex]

-Then, divide both sides by [tex]2[/tex]:

[tex]\frac{2x}{2} = \frac{16}{2}[/tex]

[tex]\boxed {x = 8}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]8[/tex].

Answer:

Mark's final velocity at the end of the 8 seconds is 9.6 m/s

Step-by-step explanation:

The acceleration of mark after the light turns green, a = 1.8 m/s²

The time duration of the motion with the 1.8 m/s² acceleration,  t = 8 seconds

Mark's final velocity at the end of the 8 seconds, v is found using the equation of motion for velocity as follows;

v = u + a × t

Where;

u = The initial velocity = 0 m/s

a = The acceleration = 1.8 m/s²

t = The time in motion = 8 seconds

Substituting gives;

v = 0 + 1.2 × 8 = 9.6

Mark's final velocity at the end of the 8 seconds, v = 9.6 m/s.

Final velocity after 8 second is 64 m/s

Given:

Acceleration of mark = 8 m/s²

Time taken = 8 second

Find:

Final velocity of mark

Computation:

v = u + at

v = 0 + (8)(8)

v = 64 m/s

Final velocity of mark = 64 m/s

Find out more information about 'Acceleration.'

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Answer:

i have found you

Step-by-step explanation:

Answer:

21 yard line

Step-by-step explanation:

Ok we start out on the 20 yard line, we need to add the yards together.

We add the 6 to the 20:

20+6=26

Then we subtract the 8 yards from our new 26:

26-8=18

Then we add the 18 by 3:

18+3=21

Therefore,

The Answer is 21 Yard Line.

Hope I could help, If you need some more assistance ask me!

Answer:

2 yard

Step-by-step explanation:

hola soy dora

Answer:

The graph below models the value of a $20,000 car t years after it was purchased.

                    Value of Car

A graph titled Value of Car has years  bbhvb ngc,jon the x-axis and Dollars on the y-axis. A line curves down and goes through points (0, 20,000), (4, 10,000), and (14, 2,000).

Which statement best describes why the value of the car is a function of the number of years since it was purchased?

Each car value, y, is associated with exactly one time, t.

Each time, t, is associated with exactly one car value, y.

The rate at which the car decreases in value is not constant.

There is no time, t, at which the value of the car is 0.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

c

Answer:

1.8

Step-by-step explanation:

27 miles per hour

so 27 divided by 15

im pretty sure that’s correct.

Answer:

3d+5

Step-by-step explanation:

Reflecting across the y axis, the x value becomes opposite and the y value remains the same.

(3,0) becomes (-3,0)

Answer:

(-3, 0)

Step-by-step explanation:

There is the same amount of units from either side of the y-axis to the points.

Answer:

-2

Step-by-step explanation:

6x+3y=21

Bring the equation to y=mx+c form

3y=21-6x

y=-2x+7

When comparing, m=-2

Slope m=-2