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Temka [501]
3 years ago
10

The distance d of a particle moving in a straight line is given by d(t) = 2t3 + 5t – 2, where t is given in seconds and d is mea

sured in meters. Find an expression for the instantaneous velocity v(t) of the particle at any given point in time.
Mathematics
1 answer:
Sedaia [141]3 years ago
8 0

Answer:

Step-by-step explanation:

hello,

v(t)=\dfrac{d(t)}{t}=2t^2+5-\dfrac{2}{t}

hope this helps

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Find the distance between the points ?<br><br> ​
tatuchka [14]

Answer:

4

Step-by-step explanation:

The distance between the two points is (-1,-4) - (-5,-4)

5 0
3 years ago
I need help simplifying this problem:
Aliun [14]
C(t)= -0.3t^2 + 7.2t - 3.2

12c = 40
6 0
3 years ago
Find the length of QP given Q is the midpoint of XF, PQ =2X+1, XF=7X-4, PF=X
nadezda [96]

Answer:

Therefore the length of QP = 3.4 units

Step-by-step explanation:

Given:

PQ = 2x + 1

XF = 7x - 4

PF = x

Q is the mid poimt of XF

∴ XQ = QF

QF = PQ - PF  ..........( Q - F - P )

     = 2x + 1 - x

∴ QF      = x + 1

∴ XQ = QF = x + 1

TO Find:

QP = ?

Solution:

By Addition Property we have

XP = XQ + QF+PF ..........(X-Q-F-P)\\\\

XF + PF =XQ + QF+PF ..........(X-Q-F-P)\\

Substituting the given values in above equation we get

(7x - 4) + x = (x +1) + (x +1) + x

8x -4 = 3x +2

8x - 3x + 4 + 2

5x = 6

∴ x = \frac{6}{5}

Now we require

QP = (2x + 1)

∴ QP = 2\times \frac{6}{5} +1\\\\QP = \frac{12+5}{5} \\\\QP =\frac{17}{5} \\\\\therefore QP = 3.4\ unit

Therefore the length of QP = 3.4 units

3 0
3 years ago
Please help me i’ve tried so many of these and i can’t figure out how to do it
zheka24 [161]

Answer:

15.4%

Step-by-step explanation:

Calculate the volume of both containers.

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

V_{A} = π × 10² × 11 = 1100π ft³

V_{B} = π × 7² × 19 = 931π ft³

Subtract volume of B from volume of A to find quantity left in A

quantity left in A = 1100π - 931π = 169π ft³

To calculate the percentage left in A after B has been filled

\frac{left}{full} × 100%

= \frac{169\pi }{1100\pi } × 100%

= \frac{169}{1100} × 100%

= 15.4% ( to the nearest tenth )

6 0
3 years ago
What is 1 5/8 divided by 5 1/7
weeeeeb [17]

Answer: 91/288

Step-by-step explanation: To divide mixed numbers, first write the mixed numbers as improper fractions.

We can do this by multiplying the denominator by the whole number and then adding the numerator. Then, we put our new numerator over our old denominator.

So here, we can write 1 and 5/8 as the improper fraction 13/8 and we can write 5 and 1/7 as the improper fraction 36/7.

So here, we have 13/8 ÷ 36/7.

Dividing by a fraction is the same as multiplying by the reciprocal of that fraction.

So here, 13/8 ÷ 36/7 is the same as 13/8 × 7/36.

So now we are simply multiplying fractions and we do this by multiplying across the numerators and multiply across the denominators.

\frac{13}{8} x \frac{7}{36} = \frac{91}{288}

So now we have 91/288 which is in lowest terms.

This means that 1 and 5/8 divided by 5 and 1/7 is 91/288.

7 0
3 years ago
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