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Juliette [100K]
3 years ago
15

What are the first four terms of the sequence modeled by the recursive formula a n =a n-1 +5, when a1 = -3?

Mathematics
2 answers:
Brut [27]3 years ago
3 0

Answer:2,7,12,19

Step-by-step explanation:

a2=a2-1+5=-3+5=2

a3=a3-1+5=a2+5=2+5=7

a4=a3+5=12 and continue so on

Zinaida [17]3 years ago
3 0
The first four terms are
a1= -3
a2= -18/5
a3= -21/5
a4= -24/5

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Genrish500 [490]

Answer: No more than 8.8 pounds.

Step-by-step explanation: Let x be the weight that Lorrie can add to carry-on.

We are told that an airline charges an extra fee if a carry-on bag weighs more than 30 pounds. After packing, Lorrie’s carry-on weighs 21.2 pounds. The inequality that will represent the the amount of weight Lorrie can add to the carry-on without going over the 30-pound limit is:

Let us solve for x by subtracting 21.2 from both sides of our inequality.

We can see that the weight Lorrie can add to the carry-on should be less than or equal to 8.8 pounds without going over the 30 pound limit. Therefore, the weight that Lorrie can add to the carry-on should be no more than 8.8 pounds.

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2 years ago
Applying Properties of Exponents In Exercise,use the properties of exponents to simplify the expression.
Eduardwww [97]

Answer:

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Step-by-step explanation:

We have to simplify the given exponential expressions

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(e^2)^\frac{5}{2}\\\text{Applying the exponential property}\\\\=e^{2\times \frac{5}{2}}\\= e^5

2)

(e^2)(e^{\frac{1}{2}})\\\text{Using the exponential propert}\\\\= e^{2 + \frac{1}{2}} = e^{\frac{3}{2}}

3)

(e^{-2})^{-3}\\= e^{-2\times -3}\\=e^6

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\displaystyle\frac{e^5}{e^{-2}}\\\\\text{Using exponential properties}\\\\= e^{5-(-2)} = e^7

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Answer:

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The scale would be 1 cm = 50 km

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