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goblinko [34]
3 years ago
8

Find the second derivative of the function P(t) =(2t+4)/(t+1)

Mathematics
1 answer:
vitfil [10]3 years ago
3 0

use the quotient rule then after using it the first time use it again on your resulting equation, since you are looking for the second derivative

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describe the horizontal and/or vertical shifts used to transform the equation y=|x| to the equation y=|x|+4
netineya [11]
It will move 4 to the right horizontally
6 0
3 years ago
Simplify 3(x+2=5).Explain how you found your answer
Simora [160]

Answer:

3(x+2=5)

=3(x=5-2)

=3(x=3)

=3(3)

=3×3

=9

3 0
3 years ago
An = a1 + (n - 1)d
yarga [219]

Answer:

The car will travel 1980 meters in 15 minutes.

Hence, option 'D' is true.

Step-by-step explanation:

Given that a car travels 300 meters in the first minute, so

  • a₁ = 300

Each minute after, the car travels 120 meters. , so the sequence becomes

a₁, a₂, a₃, a₄, a₅, ...

300, 420, 540, 660, 780, ...

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

computing the differences of all the adjacent terms

20-300=120,\:\quad \:540-420=120,\:\quad \:660-540=120,\:\quad \:780-660=120

The difference between all the adjacent terms is the same and equal to d=120

now, we have

  • a₁ = 300
  • d = 120

so substituting a₁ = 300 and d = 120 in the nth term of the sequence

a_n=a_1+\left(n-1\right)d

a_n=120\left(n-1\right)+300

a_n=120n+180

Thus, the nth term of the sequence is:

a_n=120n+180

<u>Determining the distance the car travels in 15 minutes</u>

As we have already determined the nth term of the sequence such as

a_n=120n+180

now substituting n = 15

a_{15}=120\left(15\right)+180

a_{15}=1800+180

a_{15}=1980

Therefore, the car will travel 1980 meters in 15 minutes.

Hence, option 'D' is true.

6 0
3 years ago
A+B share a ratio of 2:3 A pays 126 how much does B pay
Alenkasestr [34]
A:B = 2:3

A=126
B=?

126/2=63

63x3=189

A=126
B=189

A:B = 126:189
6 0
3 years ago
A pump fills a pool at a constant rate. At the end of 21 minutes it has filled 7 gallons of water. Which table represents the re
likoan [24]

Answer:

B.

Step-by-step explanation:

cuz you take 21 divide by 7 equals 3. 33 divided by 3 equals 11

i hope this is right!!! :)

6 0
3 years ago
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