1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sweet [91]
3 years ago
9

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

Mathematics
1 answer:
earnstyle [38]3 years ago
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
F(x)=5x+6 what is the domain and range
kozerog [31]
\mathrm{Domain\:of\:}\:5x+6\:  

\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:\ \textless \ x\ \textless \ \infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix} 

\text{The function has no points nor domain constraints. So, the domain is}

\mathrm{Solution:}\:&\:-\infty \:\ \textless \ x\ \textless \ \infty \\ \: 

\mathrm{Range\:of\:}5x+6  

\begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:\ \textless \ f\left(x\right)\ \textless \ \infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix} 

\mathrm{The\:set\:of\:values\:of\:the\:dependent\:variable = meaning} 

\mathrm{The\:range\:of\:polynomials\:with\:odd\:degree\:is\:all\:the\:real\:numbers} 

\mathrm{Solution:}\:&\:-\infty \:\ \textless \ f\left(x\right)\ \textless \ \infty
4 0
4 years ago
How does a 180 degree rotation about the origin change the coordinates of a shape
notsponge [240]

Answer:

According to the 180°-rotation rule, you take the OPPOSITE of both the x-coordinate and y-coordinate:

180°: [<em>x</em>, <em>y</em>] → [<em>-x</em>, <em>-y</em>]

I am joyous to assist you anytime.

6 0
3 years ago
So, I need help with this question and will mark brainliest.
Tcecarenko [31]

Answer:

this an example not the answer i don't know the answer

E is between D and F.

Given: E is between D and F

Prove: DE = DF − EF.

 Statements Reasons

1. E is between D and F Given

2. D, E, and F are collinear points, and E is on ¯DF Definition of between

3. DE + EF = DF Segment Addition Postulate

4. DE = DF − EF Subtraction property of equality

2. If →BD divides ∠ABC into two angles, ∠ABD and ∠DBC, then m∠ABC = m∠ABC - m∠DBC.

Step-by-step explanation:

3 0
3 years ago
Pls hurry least to greatest
liraira [26]

Answer:

First choice

Step-by-step explanation:

Start by arranging the exponents of 10 in ascending order.

9.4 * 10^-8, 9.25 * 10^-6, 2.5 * 10^3, 7 * 10^3

The exponents are in ascending order, -8, -6, 3, 3

Since the last two exponents are equal, we must compare the numbers that multiply the powers of 10. They are 2.5 and 7. Since 2.5 < 7, ascending order is 2.5, 7. That means the line above is in ascending order.

Answer: First choice

6 0
3 years ago
What is the radius of a circle with an area of 1000π m^2?
Sliva [168]

Answer: r≈17.84

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • CAN SOMEONE PLEASE HELP ME!!!!
    10·1 answer
  • A football team lost 9 yards on first down and 4 yards on second down. It gained 5 yards on third down. How many yards does it n
    10·2 answers
  • Use the intermediate value theorem to choose an interval over which the function, f(x)=2x^3 - 3x +5 is guaranteed to have a zero
    5·2 answers
  • LAST ONE PLEASE HELP. I WILL MARK AS BRAINLIEST.
    5·2 answers
  • Find a recursive rule for the sequence 2,4,6,10
    7·1 answer
  • Match the terms to their definition.
    5·1 answer
  • Please, help me with my homework?
    7·2 answers
  • El área de un cuadrado es de 625cm. Averigua cuánto mide el lado y cuánto mide el perímetro del cuadrado
    12·2 answers
  • PLEASE HELP
    7·2 answers
  • Which number gives the exact value of 4 5/6
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!