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
Soloha48 [4]
3 years ago
5

The equation for the position of an object at time t is represented by the equation f(t)=4t^2-2t. Which equation represents the

instantaneous velocity at any given time, t?
Mathematics
2 answers:
max2010maxim [7]3 years ago
8 0

Answer:

The equation that represents the instantaneous velocity at any given time, t is:

v (t) = 8t -2

Step-by-step explanation:

In physics, the equation that describes the instantaneous velocity of an object is the derivative of the position of this object as a function of time.

In this problem we have the function that describes the position of the object at a time t.

f (t) = 4t ^ 2-2t

Therefore to obtain the instantaneous velocity we derive f (t) with respect to time

\frac{df(t)}{dt} = 2(4)t-2\\\\\frac{df(t)}{dt} = 8t-2 = v (t)

Finally the equation of velocity is:

v (t) = 8t -2

Elza [17]3 years ago
3 0

Answer: I just took the test and got 100%  

1. C, 2

2. D, v(t) = 8t - 2  

3. B, 902 mi/min

4. A, the car is slowing down at a rate 10 mi/h^2

You might be interested in
PLEASE HELP ME!!!! 20 POINTS!!!!!!!
hammer [34]
I think it’s B hope this helps
5 0
3 years ago
The length of a rectangle is 5cm less than twice the width. The perimeter is 44cm.
Veronika [31]

Answer:

Width = 9

Length = 13

Step-by-step explanation:

width = w

length = L

w(2) - 5 =  L

w + w + L + L = 44

44 + 5 + 5 = 54

54/6 = 9

9(2) = 18 - 5 = 13

w = 9

l = 13

Check:

9 + 9 + 13 + 13 = 44

9(2) = 18 - 5 = 13

5 0
3 years ago
53 x + 4 &lt; 7<br> how is this graphed on a number line ?
ValentinkaMS [17]

Answer:

Solve for x first.

54x + 4 < 7

54x < 7 - 4

54x < 3

x < 3 / 54

x < 1/18

So the value is less than 1/18.

To draw on the number line, draw from point 1/18 to the back with an arrow to represent that x is any number less than 1/18.

4 0
3 years ago
A store sells black ink pens for $5 and red ink pens for $4. John wishes to buy 20 pens but doesn’t wish to spend more than $92.
Zina [86]

Answer:  4r + 5(20-r) \le 92

=======================================

Explanation:

r = number of red pens

4r = cost of buying r red pens

example: if r = 10, then 4r = 4*10 = 40 is the total cost of buying 10 red pens

If John buys r red pens, then he must buy 20-r black pens so that r and 20-r add to 20.

John buys 20-r black pens, and at $5 each, so it will cost 5(20-r) dollars for just the black pens alone.

In total, John spends 4r + 5(20-r) dollars for all the pens (red & black)

We want $92 be the most he spends. This is the ceiling or highest value possible.

Therefore,

4r + 5(20-r) \le 92

--------------------

Extra info:

If you want to solve for r, then

4r + 5(20-r) \le 92

4r + 5(20)+5(-r) \le 92 distribute

4r + 100 - 5r \le 92  

100 - r \le 92

100-r+r \le 92+r add r to both sides

100 \le 92+r

100-92 \le 92+r-92 subtract 92 from both sides

8 \le r

r \ge 8

So John must buy at least 8 red pens. The most he can buy is 20 red pens since he wants 20 pens total.

8 0
3 years ago
In five years, josh will be 21 years old . How old is he now? Let j=Josh's current age.
mariarad [96]
You could do 21-5 and get the answer 16
A= 16+5 = 21 
So therefor, he is 16 years old now.
6 0
3 years ago
Read 2 more answers
Other questions:
  • 17. Which of the following equations is equivalent to 9x -12 = 36 ?
    15·2 answers
  • Experts/ace where do i out the dots?
    10·1 answer
  • Which of the following is equivalent to the expression below? 42^x/6^x
    5·1 answer
  • Bean plants grow rapidly. A bean plant is 16 inches tall. Tomorrow it will be 24 inches tall, the next day it will be 32 inches
    10·1 answer
  • Ordenar de mayor a menor los números racionales <br><br>​
    9·1 answer
  • In a triangle, the ratio between the first and second angle is 1: 2 and the third angle is 65. Find the first and second angle o
    8·2 answers
  • What's the improper fraction for 3 and 5/6ths?
    6·1 answer
  • Which is equivalent to 5 and 2 fifthteenthes
    13·2 answers
  • A box is 50 cm long. Which of these is the closet to the length of this box in feet ? (1 inch = 2.54cm)
    5·2 answers
  • What is the area of this polygon? Enter your answer in the box. units? <br><br>​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!