Answer:
1.12
Step-by-step explanation:
0.68 + 0.44 = 1.12
F(x)=-2e^x
x=3
f(3)=-2e^3
pemdas so exponents first
e^3
e=2.718281828454590
cube that
20.0855
now we have
-2 times 20.0855=-40.1711
answer should be -40.1711
(I see what you did wrong, if -6=-2 times e^3, divide -2, 3=e^3, maybe you just put -2 times 3 by mistake)
The constant of proportionality k is 3.5
Step-by-step explanation:
Proportionality describes any relationship that is always in the same
ratio
If two quantities x and y are in proportionality, then
1. y ∝ x
2. y = k x , where k is the constant of proportionality
∵ x ⇒ 6 , 7 , 8 , 9
∵ y ⇒ 21 , 24.5 , 28 , 31.5
∵ y ∝ x
∴ y = k x
- Use x = 6 and y = 21 to find the value of k
∵ x = 6 and y = 21
∴ 21 = k (6)
- Divide both sides by 6
∴ k = 3.5
- Use x = 7 and y = 24.5 to find the value of k
∵ x = 7 and y = 24.5
∴ 24.5 = k (7)
- Divide both sides by 7
∴ k = 3.5
- Use x = 8 and y = 28 to find the value of k
∵ x = 8 and y = 28
∴ 28 = k (8)
- Divide both sides by 8
∴ k = 3.5
- Use x = 9 and y = 31.5 to find the value of k
∵ x = 9 and y = 31.5
∴ 31.5 = k (9)
- Divide both sides by 9
∴ k = 3.5
The constant of proportionality k is 3.5
Learn more:
You can learn more about proportionality in brainly.com/question/10708697
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Answer:
nth term = 1 + n(13/4)
Step-by-step explanation:
3n + n/4 + 1
n = 1, 3(1) + (1)/4 + 1 = 4 + ¼ = 17/4
n = 2, 3(2) + (2)/4 + 1 = 7 + ½ = 30/4
n = 3, 3(3) + (3)/4 + 1 = 10 + ¾ = 43/4
n = 4, 3(4) + (4)/4 + 1 = 14 = 56/4
The difference between consecutive terms is 13/4
At n = 1, 17/4 = 1 + 1(13/4)
At n = 2, 30/4 = 1 + 2(13/4)
nth term = 1 + n(13/4)
