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guapka [62]
3 years ago
5

Find the geometric means in the following sequence.

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
8 0

Answer:

Last choice. d.

Step-by-step explanation:

We are given the first term and the sixth term.

The first term is a_1=-9.

The sixth them is a_6=a_1r^5=-9216.

Let's solve for the common ratio, r.

-9r^5=-9216

Divide both sides by -9:

r^5=1024

Take the fifth root of both sides:

r=1024^{\frac{1}{5}}

r=4

So the common ratio is 4.

a_1=-9

a_2=-9(4)=-36

a_3=-9(4)^2=-144

a_4=-9(4)^3=-576

a_5=-9(4)^4=-2304

a_6=-9(4)^5=-9216

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Solve the inequality
aev [14]

Answer:

x<3

Step-by-step explanation:

4x-7<5

4x<5+7

4x<12

x<3

3 0
2 years ago
Will give 25 points and brainliest answer if correct
Norma-Jean [14]
Let d be the common difference between terms in the sequence \{a_n\}_{n\ge1}. Then

a_{19}=-58
a_{20}=a_{19}+d
a_{21}=a_{19}+2d
\implies-164=-58+2d\implies d=-53

The first term in the sequence, a_1, satisfies

a_2=a_1+d
a_3=a_1+2d
a_4=a_1+3d
...
a_{19}=a_1+18d
\implies-58=a_1+18(-53)\implies a_1=896

So the explicit formula for the n-th term in the sequence is

a_n=a_1+(n-1)d\implies a_n=896-53(n-1)
5 0
3 years ago
Two angles of a quadrilateral measure 150 degrees and 105 degrees the other two angles are in a ratio of 3:4 what are the measur
iragen [17]

Answer:

First angle is 45 and the second angle is 60

Step-by-step explanation:

150 + 105 = 255

360 - 255 = 105

the ratio is 3:4 I add the ratio so 7

105 / 7 = 15

The first angle with the ratio of 3 is 15 x 3 = 45

The second angle with the ratio of 4 is 4 x 15 = 60

7 0
3 years ago
andres has 10 more goldfish than todd. Together,they have 50 goldfish.How many goldfish does each boy have?
Dmitry [639]
Let's go ahead and construct an equation to show this. Together, they have 50 goldfish. This can be represented as =50. 

Since we don't know how many Todd has, we're going to make a variable. We'll name it T, for Todd.

What about Andres? How many does he have? 10 more than Todd. Well, if Todd's amount is T, and Andres has 10 more, we can express that as T+10.

Now, just put the two pieces together! T+10=50. 

The next step is inverse operations. You want to find out how many T is, so you need to get rid of the 10. To take 10 away from something is doing what? Subtraction! Be warned, though; whatever you do to one side of the problem, you have to do to the other. 10-10 is 0, and 50-10 is 40. Since we took the 10 away and 50 is now 40, what you're left with is T=40.

Wait a second.. wasn't "T" Todd's amount? Yep! That means that Todd has 40 goldfish. And we already know that Andres has 10, so there's your answer!
3 0
3 years ago
Read 2 more answers
Please solve will give BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINL
Mnenie [13.5K]

Answer:

3.4

Step-by-step explanation:

7 0
2 years ago
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