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Wittaler [7]
3 years ago
10

Find the first four terms for the arithmetic sequence given a1 = 6 and d = 5

Mathematics
1 answer:
DENIUS [597]3 years ago
7 0

Answer:

6, 11, 16, 21

Step-by-step explanation:

To obtain the first 4 terms add the common difference 5 to the previous term, that is

a₁ = 6

a₂ = a₁ + 5 = 6 + 5 = 11

a₃ = a₂ + 5 = 11 + 5 = 16

a₄ = a₃ + 5 = 16 + 5 = 21

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For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 18 N acts on
inysia [295]

Answer: F=15N


Step-by-step explanation:

1. You know that the force acting on the object varies directly with the object's acceleration. Then, by definition, you have:

F=ka

Where F is the force acting on the object, a is the object's acceleration and k is the constant of proportionality.

2. Keeping this on mind, you can calculate the constant of proportionality by substituting F=18 and a=6 into the equation and solving for k:

18=k6\\k=\frac{18}{6}\\k=3

3. Now, you can calculate the force when the acceleration of the object becomes 5 m/s², as following:

F=3(5)\\F=15

3. The result is:

F=15N

7 0
3 years ago
Use logarithmic differentiation to find dy/dx
liq [111]

Answer:

dy/dx  =  (x^2 - 3)^sin x [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)]

Step-by-step explanation:

y = (x^2 - 3)^sinx

ln y = ln  (x^2 - 3)^sinx

ln y = sin x * ln (x^2 - 3)

1/y * dy/dx  =   sin x * {1 / (x^2 - 3)} * 2x + ln(x^2 - 3) * cos x

1/y dy/dx =  2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)

dy/dx  =   [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)] * y

dy/dx  =  (x^2 - 3)^sin x [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)]

7 0
3 years ago
Can someone please help me with a few of theseee
charle [14.2K]

i dont know, sorry.

7 0
3 years ago
Plz need help on this
Ipatiy [6.2K]
Oh my umm I don’t know sorry
5 0
3 years ago
Oliver's plane landed at the airport at 8:00 at night. The plane ride was 9 hours and 39 minutes,
Eddi Din [679]

Answer:

10:21 in the morning

Step-by-step explanation:

8:00-8 hrs=12:00

12:00-1 hr and 39 min = 10:21

7 0
3 years ago
Read 2 more answers
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