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2 years ago

How do exponets allow u to communicate more Prescisey to others

1 answer:

7 0

Exponents allow for shorter, more concise answers. Say you needed to state the number 88,209. 9^5 is a much shorter number, and still gets the point across.

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Prove that an = 4^n + 2(-1)^nis the solution to

olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute $a_n=4^n+2(-1)^n$ in the equation $a_n=3a_{n-1}+4a_{n-2}$ the equality is true.

Let's substitute first in the right hand side:

$3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})$

Now we use the distributive laws. Also, note that $(-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n}$ (this also works when the power is n-2).

$=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}$

$=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}$

$=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n$

then the sequence solves the recurrence relation.

4 0

3 years ago

The next student presents a monologue that is about 0.5 minutes long. What effect will this have on the graph?

Liula [17]

Answer:

what do you mean by graph

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

This is the answer to the question<br> It is 9.9cm

GenaCL600 [577]

Answer:

9.9cm

Step-by-step explanation:

If side h cm is opposite of 51° and side 8cm is adjacent to 51°, use the tangent function to calculate the opposite side h cm:

tan(51°)=opposite/adjacent=h/8

tan(51°)=h/8

8tan(51°)=h

9.879177252=h

9.9=h

Therefore, the value of h is 9.9cm

3 0

2 years ago

If 100 treats will feed 15 dogs (each dog is given the same number of treats), how many dogs can be fed with 40 treats?

Lisa [10]

Answer: 6 dogs

Step-by-step explanation:

If 100 treats will feed 15 dogs, then that means that the number of treats that each dog requires is:

= 100/15

= 6.67 treats

If 6.67 treats will feed one dog then the number of dogs that will be fed by 40 is:

= 40 / 6.67

= 6 dogs

4 0

2 years ago

38% of y is 494, what is y?<br><br> 15% of c is 49, what is c?

Reika [66]

Answer:

y= 1,300

c= 326.67

Step-by-step explanation:

4 0

2 years ago