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Alika [10]
3 years ago
6

The distance d of a particle moving in a straight line is given by d(t) = 2t^3 + 5t – 2, where t is given in seconds and d is me

asured in meters. Find the velocity of the particle for t = 7 seconds.
152 m/s
47 m/s
733 m/s
299 m/s
Mathematics
1 answer:
Amanda [17]3 years ago
6 0

Answer: 299 m/s

Step-by-step explanation:

The first step is to take the first derivative of the equation given. This will give us the equation for velocity which we will then substitute the 7 in for t.

To derive the equation you multiply the coefficient by the power of the variable, then subtract one from the variable.

v(t) = 6t^2 + 5

Now input 7 in for t to find the velocity.

v(7) = 6(7)^2 + 5

v(7) = 299 m/s

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How many terms are in the following sequence? 131072, ..., 8, 4, 2
Klio2033 [76]

Answer:

  17 terms

Step-by-step explanation:

131072 = 2^17

8 = 2^3

4 = 2^2

2 = 2^1

Apparently, the sequence is powers of 2 from 17 down to 1, so there are 17 terms in the sequence.

8 0
3 years ago
WHOEVER IS RIGHT GETS BRAINLIST
torisob [31]

Answer: 145 percent or 1 whole and 45 percent

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Solve each system by elimination<br><br> 5x+y=9<br> 10x-7y=-18<br><br> -4x+9y=9<br> x-3y=-6
tiny-mole [99]
5x + y = 9....multiply by 7
10x - 7y = -18
----------------
35x + 7y = 63 (result of multiplying by 7)
10x - 7y = -18
----------------add
45x = 45
x = 45/45
x = 1

5x + y = 9
5(1) + y = 9
5 + y = 9
y = 9 - 5
y = 4

solution is : (1,4)
=========================
-4x + 9y = 9
x - 3y = -6 ....multiply by 4
----------------
-4x + 9y = 9
4x - 12y = -24 (result of multiplying by 4)
---------------add
- 3y = - 15
y = -15/-3
y = 5

x - 3y = -6
x - 3(5) = -6
x - 15 = -6
x = -6 + 15
x = 9

solution is : (9,5)
3 0
3 years ago
Three components are randomly sampled, one at a time, from a large lot. As each component is selected, it is tested. If it passe
satela [25.4K]

Answer:

The probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.

Step-by-step explanation:

The probability of a component passing the test is, P (S) = 0.79.

The probability that a component fails the test is, P (F) = 1 - 0.79 = 0.21.

Three components are sampled.

Compute the probability of the test result as SFS as follows:

P (SFS) = P (S) × P (F) × P (S)

            =0.79\times0.21\times0.79\\=0.131061\\\approx0.1311

Compute the probability of the test result as SSF as follows:

P (SSF) = P (S) × P (S) × P (F)

            =0.79\times0.79\times0.21\\=0.131061\\\approx0.1311

Thus, the probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.

7 0
3 years ago
Represent the following expressions as a power of the number (a≠0):
Vsevolod [243]
The answer should be a^7
3 0
3 years ago
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