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Kamila [148]
3 years ago
6

The equation of a parabola changes from y = x2 − 2 to y = x2 + 5. What transformation best describes the change in the equation?

Mathematics
2 answers:
Gwar [14]3 years ago
7 0
I'm not totally sure the exact answer, or if this even helps, but the Y intercept is changing from -2 to 5
Ber [7]3 years ago
6 0

the parabola is translated up 7 units


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Annie's cafe borrows $6100 at 6% for 290 days. Find the total amount that must be repaid after 290 days. (Use a 365 day year.)
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Given:
amount borrowed $6,100
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Step-by-step explanation:

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Element X decays radioactively with a half life of 14 minutes. If there are 760 grams of Element X, how long, to the nearest ten
Mkey [24]

Answer:

85.5 minutes

Step-by-step explanation:

The amount of an element that will remain after time t can be expressed as a function of initial amount N0, time t, and half life th as;

Nt = N0 × e^(-λt)

Where;

Decay constant λ = ln(2)/th, substituting into the equation;

Nt = N0 × e^(-ln(2)t/th)

We need to make t the subject of formula;

Nt/N0 = e^(-ln(2)t/th)

ln(Nt/N0) = -ln(2)t/th

t = ln(Nt/N0) ÷ -ln(2)/th

Given;

Initial amount N0 = 760g

Final amount Nt = 11 g

Half life th = 14 minutes

the nearest tenth of a minute, would it take the element to decay to 11 grams can be derived using the formula;

t = ln(Nt/N0) ÷ -ln(2)/th

Substituting the given values;

t = ln(11/760) ÷ -ln(2)/14

t = 85.5 minutes

4 0
3 years ago
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