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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

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5(x – 10) = 30 – 15x<br> Solve
Doss [256]

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!

7 0
3 years ago
Kareem wrote the values shown below.
grandymaker [24]

Answer:

Option D is correct.

\lfloor 4.8 \rfloor  and \lceil 3.2 \rceil

Step-by-step explanation:

Floor function states that the greatest integer that is less than or equal to x.

It is represented by: \lfloor x \rfloor

Ceiling function states that the least integer that is greater than or equal to x.

It is represented by: \lceil x \rceil

As per the statement:-

Kareem wrote the values show below:

\lceil 3.2 \rceil,  \lfloor 2.7 \rfloor,  \lceil 2.9 \rceil and \lfloor 4.8 \rfloor.

by definition:

\lceil 3.2 \rceil = 4

\lfloor 2.7 \rfloor = 2

\lceil 2.9 \rceil=3

\lfloor 4.8 \rfloor = 4

From the given options only pair which is equivalent is:

\lfloor 4.8 \rfloor  and \lceil 3.2 \rceil

7 0
3 years ago
State the gradient of the line perpendicular to the line y=3x-2
kherson [118]

Answer:

-1/3

Step-by-step explanation:

3 is the gradient of the other line

m1×m2=-1 (equation for perpendicular lines)

m1×3= -1

m1= -1/3

Pls confirm if its correct

correct me if wrong

thanks! :)

7 0
3 years ago
Candy takes 57 minutes to deliver all the paper whereas Tim takes 114 minutes. How long does it take them where they work togeth
kow [346]

-- Candy takes 57 minutes to do the whole job  ==> 
She does 1/57 of the job every minute.

-- Tim takes 114 minute to do the whole job  ==> 
He does 1/114 of the job every minute.

-- If they work together, they do  (1/57  +  1/114)  of the job every minute.
We have to add those fractions.

The least common denominator is 114.

                 (1/57  +  1/114)

             =  (2/114 + 1/114)

             =        3/114       =  1/38 .

Working together, Candy and Tim do  1/38  of the job every minute.

So it takes them  38 minutes  to do the whole job together. 
4 0
3 years ago
Write fractions in simplest form 5/6 + 8/6
asambeis [7]

Answer:

13/6

Step-by-step explanation:

Since the denominator is the same, you can add the numerator. 13/6 is the simplest form.

4 0
3 years ago
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