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kirill [66]
3 years ago
9

If an average car is about 16 feet long, about how many car lengths should you have between you and that car in front of you if

you are driving 100 mi/hr?
Mathematics
1 answer:
Elden [556K]3 years ago
3 0

Answer: 9 cars.

Step-by-step explanation:

given data:

average length of a car = 16feet

speed of the driver = 100miles/hr

Solution:

First we would need to convert the Speed of the car from miles/hr to Feet/secs.

To do this we know that 1mile/hr = 1.467 feet/secs

= 100m/hr * 1.467

= 146.7Feet/secs.

So now the number of cars between him would be

= 146.7Feet/secs / 16

= 9.17

approximately there should be 9 cars between you.

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For f(x) = 5x + 1
drek231 [11]

Answer:

A. f(7) = 5(7) + 1\\\\f(7) = 36

B. f^{-1}(x) = \frac{x - 1}{5}

C. f^{-1}(7) =\frac{6}{5}

D. f(\frac{6}{5}) = 7

Step-by-step explanation:

A. To solve the first part of the problem we must replace x = 7 in the function f(x) = 5x + 1

So:

f(7) = 5(7) + 1\\\\f(7) = 36

B. In part B we must find the inverse function of f(x) = 5x + 1

To find the inverse function do y = f(x)

y = 5x +1

Now clear the variable x.

\frac{y - 1}{5} = x

Replace x with y.

y = \frac{x - 1}{5}

Finally

f^{-1}(x) = \frac{x - 1}{5}

C. Now we take the inverse function found above and replace x = 7

f^{-1}(7) = \frac{7 - 1}{5}\\\\f(7) = \frac{6}{5}

D. Now we substitute x = f(f^{-1}(7)) in the original function.

x = f( f^{-1}(7))\\\\f^{-1}(7) = \frac{6}{5}\\\\ x= f(\frac{6}{5} )\\\\f(\frac{6}{5}) = 5(\frac{6}{5}) + 1\\\\f(\frac{6}{5}) = 7

8 0
3 years ago
Read 2 more answers
What value of x is in the solution set of 8x-6>12+2x
Dimas [21]
The Answer to <span>8x-6>12+2x = x>3</span>
8 0
3 years ago
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If a line falls on the points (6,22) and (4,21), what is its slope? Enter your answer as a fraction in lowest terms. Use a slash
I am Lyosha [343]

Answer:

1/2

Step-by-step explanation:

Since we have two points, we can use the slope formula

m = (y2-y1)/(x2-x1)

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    = 1/2

8 0
3 years ago
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An object is 3.6 m from the pinhole. Its image is 4.2 cm from the opposite side of the pinhole. The height of the image is 0.8 c
madreJ [45]

Answer:

Height of the object is 68.6 cm.

Step-by-step explanation:

The height of the object can be determined by:

\frac{object distance from pinhole}{image distance from pinhole} = \frac{object height}{image height}

From the given question;

object distance from pinhole = 3.6 m = 360 cm

image distance from pinhole = 4.2 cm

height of image = 0.8 cm

So that;

\frac{360}{4.2} = \frac{object height}{0.8}

⇒ object height = \frac{360*0.8}{4.2}

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object height = 68.6 cm

Thus, the height of the object is 68.6 cm.

5 0
3 years ago
You are going to create a circle graph to represent some data. How many degrees should a section representing 65 out of a hundre
hjlf

To figure out the degrees, you would create a ratio.

Since there are 360 degrees in your circle, that would be representative to 100 (because both are the total of what you want to find), and x would be representative to what degrees 65 is equal to.

your ratio should look like,

65/100=x/360

cross multiply and get

65(360)=100x

23400=100x

x=234


It looks hard to read like this, but if you write it out on your paper it should make more sense!

8 0
3 years ago
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