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2 years ago

What is the fifth term of the geometric sequence a1=120, a2=36, a3=10.8, a6=0.2916?

2 answers:

7 0

The formula for geometric sequence is an = a1 r^(n-1) where r is the geometric factor and n is an interger. In the sequence given, r is equal to 3/10. In this case, an = 120* (3/10)^(n-1). Solving for a5, a5 = 120* (3/10)^(5-1) = 0.972

iragen [17]2 years ago

5 0

First we need to find the common ratio by dividing the second term by the first term. 36/120 = 3/10

an = a1 * r^(n-1)
n = term to find = 5
a1 = first term = 120
r = common ratio = 3/10
now we sub and solve
a5 = 120 * 3/10^(5 - 1)
a5 = 120 * 3/10^4
a5 = 120 * .0081
a5 = 0.972 <=== fifth term

or we could have just done this......since we multiply by 3/10 to find the next number...
a3 = 10.8......10.8 * 3/10 = 3.24 <== 4th term
3.24 * 3/10 = 0.972 <== fifth term

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You draw one card from a standard 52-card deck. In how many ways could the card be face card or a six?

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2 years ago

A cone has a volume of 226.08 cubic millimeters and a height of 6 millimeters. What is its

dezoksy [38]

Answer:

r≈5.36656314

Step-by-step explanation:

Since A=πr(r+ $\sqrt{h^2+r^2}$ ) so we get that 226.08/pi≈72 or 226.08/3.14=72 we then plug it in to get 72=r(r+ $\sqrt{36+r^2}$ ) so we get r≈5.36656314

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2 years ago

Read 2 more answers

James wants to promote his band on the internet. Site A offers website hosting for $4.95 per month with a $49.95 startup fee. Si

cupoosta [38]

Answer:

Part 1) see the procedure

Part 2) $4.95x+49.95 < 9.95 x$

Part 3) $x > 9.99\ months$

Part 4) The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months

Step-by-step explanation:

Part 1) Define a variable for the situation.

Let

x ------> the number of months

y ----> the total cost monthly for website hosting

Part 2) Write an inequality that represents the situation.

we know that

Site A

$y=4.95x+49.95$

Site B

$y=9.95x$

The inequality that represent this situation is

$4.95x+49.95 < 9.95 x$

Part 3) Solve the inequality to find out how many months he needs to keep the website for Site A to be less expensive than Site B

$4.95x+49.95 < 9.95 x$

Subtract 4.95x both sides

$4.95x+49.95-4.95x < 9.95 x-4.95x$

$49.95 < 5x$

Divide by 5 both sides

$49.95/5 < 5x/5$

$9.99 < x$

Rewrite

$x > 9.99\ months$

Part 4) describe how many months he needs to keep the website for Site A to be less expensive than Site B.

The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months

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3 years ago

Decide whether the statement is true or false. If it is false, explain why. The union of the solution sets of 4xplus5equals13,

postnew [5]

The given statement is false because it isn't an empty set!

<u>Step-by-step explanation:</u>

We have following sets of inequalities:

$4x+5=13\\4x+5>13\\4x+5$

From $4x+5=13$ we get ,

$4x = 8 \\x=2$

Therefore solution set is x=2.

Now, for $4x+5>13$ we get ,

$4x+5>13 \\4x>8\\x>2$

Therefore solution set is x>2.

For $4x+5$ we get ,

$4x+5$

Therefore solution set is x<2.

Now, the union of x=2, x<2 & x>2 is -∞<x<∞. i.e. all possible values of x. And so above statement is false because it isn't an empty set!

4 0

2 years ago

I really need help with this

kari74 [83]

Answer:

Step-by-step explanation:

Any parallelogram has the area of the length between the left and right side times the length from the top to the bottom.

Here the horizontal length is easy, it's just 6. it tries to trick you witht he vertical length. You want the straight up nd down line from the top and bottom, which is that 8 on the right. so the area is 6*8

6*8 = 48

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2 years ago