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3 years ago

If the velocity of a car on a timed test drive on an airfield is given by the function:

1 answer:

5 0

The graph of the car's speed is a piece of an inverted parabola,
that cuts the time axis at zero and at 8 sec.

The distance the car travels during that 8 seconds is the area
between the parabola and the time axis. If you intend to calculate
it, then I'm afraid you're going to need to integrate the speed function.

   V = 24t - 3t²

Distance = integral of (24t - 3t²), evaluated from zero to 8 seconds.

Integral of (24t - 3t²) =

   t²/2 - 3t³/3 = <u>12t² - t³</u>

Evaluated between zero and 8 seconds, the integral is

   12(8²) - (8)³ =

   768 - 512 =<em> 256 meters</em> .

You might be interested in

Please someone help me with this ASAP especially with the workout!!

lara31 [8.8K]

Answer:

71 degrees

Step-by-step explanation:

please someone help me with this ASAP especially with the workout!!

From the triangle shown;

YX² = YZ² + XZ² - 2(YZ)(XZ) cos Z

28² = 25² + 23² - 2(25)(23) cos Z

784 = 625 + 529- 1150 cos Z

784 - 1154 = -1150cos Z

-370 = -1150cos Z

cos Z = 370/1150

cos Z = 37/115

cos Z = 0.3217

Z = arccos 0.3217

Z = 71.23

hence the measure of <Z is 71 degrees

3 0

3 years ago

Given f(x)= square root x and g(x) = lxl, which is the graph of (fog)(x)

marin [14]

Answer:

drawing the graph of $f(g(x))=\sqrt{|x|}$

The graph is attached in the images below.

Option A is correct option.

Step-by-step explanation:

We are given:

$f(x)=\sqrt{x}$ and $g(x)=|x|$

We need to find graph of (fog)(x)

We know that (fog)(x)= f(g(x))

Placing x=g(x) i,e x=|x|

$(fog)(x)= f(g(x))\\f(g(x))=\sqrt{|x|}$

Now, drawing the graph of $f(g(x))=\sqrt{|x|}$

The graph is attached in the images below.

Option A is correct option.

8 0

3 years ago

Read 2 more answers

Julia bought stock at $281/8 per share. The value of each share increased by $65/8. How much is each share of stock now worth?

const2013 [10]

The worth of the share of stock is $ $34\frac{3}{4}$ .

<h3>What is the worth of the stock now?</h3>

A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below.

A mixed fraction is a fraction that is made up of a whole number and a proper fraction. A proper fraction is a number where the numerator is less than the denominator.

The worth of the stock now = purchase price + increase in the share price

28 1/8 + 6 5/8

$34 \frac{1 + 5}{8}$

$34\frac{6}{8}$ = $34\frac{3}{4}$

To learn more about fractions, please check: brainly.com/question/1114498

#SPJ1

3 0

1 year ago

the following table gives the number of people on the titanic by class and whether or not they survived gi

ziro4ka [17]

Answer:

Where’s the rest of the question ??

Step-by-step explanation:

4 0

3 years ago

A plumber charges a flat fee of $76 to visit a home and examine a clogged drain. The plumber charges an additional $24 per hour

prisoha [69]

Answer:

(a) 12 hours

(b) $220

Step-by-step explanation:

(a) First we plug in $364 for C

C=76+24h

364=76+24h

Subtract 76 from both sides

24h=288

Divide both sides by 24

h=12

She spent 12 hours fixing the drain

(b) First we plug 6 hours in for h

C=76+24(6)

Multiply it out

C=76+144

Add

C=220

It costs $220 for fixing a drain that takes 6 hours

5 0

2 years ago