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ZanzabumX [31]
3 years ago
9

Find a formula for the nth term of the geometric sequence. Assume the n begins with 1. a1=18, a2=9​

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
6 0

Answer:

Option E

Step-by-step explanation:

Explicit formula of a geometric sequence is,

T_n=a_1(r)^{n-1}

Here, a_1= First term

r= common ratio

n= number of terms

If, a_1=18 and a_2=9

Common ratio of the sequence r=\frac{a_2}{a_1}

r=\frac{9}{18}

r=\frac{1}{2}

By substituting these values in the formula,

T_n=18(\frac{1}{2} )^{n-1}

Therefore, Option E is the answer.

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There are 60 girls and 90 boys in the sixth grade at a middle school. What percent of the sixth graders at this middle school ar
KonstantinChe [14]

Answer:

60%

Step-by-step explanation:

First, find the total number of sixth graders

To do this, add the number of girls and boys together

girls+boys

There are 60 girls and 90 boys

60+90

150

Now, find the percent of sixth graders that are boys

To do this, divide the number of boys by the total number of sixth graders

boys/total sixth graders (part/whole)

There are 90 boys, and 150 total sixth graders

90/150

0.6

Convert to a percent. Multiply by 100 or move the decimal place two spots to the right

0.6*100=60

0.6-->6.0-->60.

So, 60% are boys

3 0
3 years ago
Which of the following is the inverse of y = 2/3x + 1
Vesnalui [34]

Answer:

Y=3/2x - 3/2

Step-by-step explanation:

To find the inverse, switch the x and y in the equation. Then solve for y.

Y=2/3x+1

X=2/3y+1

X-1=2/3y

3/2(x-1)=y

3/2x-3/2=y

6 0
3 years ago
Read 2 more answers
During a football game, a team lost 12 yards on the first play and then gained 5 yards on each of the next 3 plays. Which method
agasfer [191]
-12 + 5(3) = total yards at the end

So your answer would be 3 yards
6 0
3 years ago
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Warren, a golf fan, was curious about how often professional golfers make successful putts from various distances. He looked at
anzhelika [568]

Answer:

Explained below.

Step-by-step explanation:

A correlation coefficient is a mathematical measure of certain kind of correlation, in sense a statistical relationship amid two variables

Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.  

Values amid 0.7 and 1.0 (-0.7 and -1.0) implies a strong positive (negative) linear relationship amid the variables.

It is provided that Warren noticed a strong negative linear relationship between the success rate and putt distances.

This implies that as the putt distances are increasing the success rates are decreasing and as the putt distances are decreasing the success rates are increasing.

4 0
3 years ago
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Please help (photo attached)
ipn [44]
Formula for triangle area = base times height over two. area of smallest triangle: 2*2/2, so 2. area of medium sized triangle: 2*6/2, so 6. the square in between those triangles has an area of four (2*2). the base of the largest triangle is 2+2+6, so 10, and the height is 4. use the formula to find its area is 20. add them all together to get 4+6+4+20 is 34 units^2.
8 0
2 years ago
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