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Fynjy0 [20]
4 years ago
15

How does the graph of y=ax^2+c compare to a graph off y=ax^2?

Mathematics
1 answer:
DENIUS [597]4 years ago
3 0
Shifting a graph up by c units involves adding c to the whole function

therefor
y=ax^2+c is c units higher than y=ax^2 (aka, it is shifted c units up)
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The radioactive isotope carbon-14 is present in small quantities in all life forms, and it is constantly replenished until the o
Fofino [41]

Answer:

a) k = 0.0001245 /year

b) The Shroud of Turin is 757.52 years old.

Step-by-step explanation:

a) dC/dt = - KC

dC/C = - kdt

Integrating the left hand side from C₀ to C₀/2 and the right hand side from 0 to t(1/2) (where t(1/2) is the radioactive isotope's half life)

In [(C₀/2)/C₀] = - k t(1/2)

In (1/2) = - k t(1/2)

- In 2 = - k t(1/2)

k = (In 2)/t₍₁,₂₎

t(1/2) is given in the question to be 5566 years

k = (In 2)/5566 = 0.0001245 /year

b) dC/C = - kdt

Integrating the left hand side from C₀ to C and the right hand side from 0 to t

In (C/C₀) = - kt

C/C₀ = e⁻ᵏᵗ

C = C₀ e⁻ᵏᵗ

When C = 91% of C₀ = 0.91 C₀, solve for t

0.91 C₀ = C₀ e⁻ᵏᵗ

0.91 = e⁻ᵏᵗ

e⁻ᵏᵗ = 0.91

- kt = In 0.91 = -0.00943

t = - 0.00943/(-0.0001245) = 757.52 years.

6 0
3 years ago
Find the value of given expression<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B252%20-%2027%7D%20" id="TexFormula1" ti
Black_prince [1.1K]

Answer:

15 will be the answer

Step-by-step explanation:

4 0
3 years ago
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May i have some help please?
amid [387]

Answer:

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6 0
3 years ago
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Which is the graph of the sequence defined by the function f(x + 1) =
nadezda [96]

Answer:

(1, 375) , (2, 375) , (3, 375) ...

Step-by-step explanation:

The function is defined by the rule:

f(x + 1) = f(x)

The first term of the sequence is 375. This means f(1) = 375

Lets find next few terms of the sequence. Replacing x by 1, we get:

f(1 + 1) = f(1)

f(2) = f(1)

f(2) = 375

Replacing x by 2, we get:

f(2 + 1) = f(2)

f(3) = f(2)

f(3) = 375

This shows, all the terms of the sequence are same and equal to 375. So the graph of the sequence would be a straight(horizontal) line as shown below. In ordered pairs the sequence would be represented as:

(1, 375) , (2, 375) , (3, 375) ...

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3 years ago
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Answer:

5 10 15 20 25 30 this one is the largest interquartile range

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