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guajiro [1.7K]
3 years ago
11

Find the eighth term of the

Mathematics
1 answer:
Darya [45]3 years ago
7 0

Answer:

a(8) = -0.0027

Step-by-step explanation:

The most general formula for a geometric sequence is a(n) = a(1)*r^(n-1), where a(1) is the first term and r is the common ratio.

Here, the formula becomes a(n) = 6*(-1/3)^(n-1).

Substitute 8 for n to find the eighth term:

a(8) = 6*(-1/3)^(8-1), or a(8) = 6(-1/3)^7, or a(8) = -0.0027

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dangina [55]

Answer:

27x-9y

3(9x-3y)

Step-by-step explanation:

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4 0
2 years ago
Find the diameter of the circle with the given radius.<br> 5. 20 feet
guajiro [1.7K]

Answer:

40 feet

Step-by-step explanation:

the diameter is just Rx2 (R being the radius)

7 0
2 years ago
Use f(x) = 1/2 x and f -1(x) = 2x to solve the problems. f(2) = 1 f−1(1) = 2 f−1(f(2)) = 2 f−1(−2) = f(−4) = f(f−1(−2)) =
vampirchik [111]

Answer:

In this problem, we are given the following functions:

f(x)=\frac{1}{2}x

and its inverse function:

f^{-1}(x)=2x

First of all, we want to calculate f(2). This can be obtained by substituting

x = 2

into f(x). Doing so, we find:

f(2)=\frac{1}{2}\cdot 2 = 1

Then we want to calculate f^{-1}(1). We can do it by substituting

x = 1

into f^{-1}(x). Doing so,

f^{-1}(1)=2\cdot 1 = 2

Then we want to calculate f^{-1}(f(2)), which can be found by calculating f(2) and then using it as input for f^{-1}(x). We know that

f(2) = 1

Therefore,

f^{-1}(f(2))=f^{-1}(1)=2

Then we want to calculate f^{-1}(-2), which can be calculated by plugging

x = -2

into f^{-1}(x). Doing so,

f^{-1}(-2)=2\cdot (-2)=-4

Then we want to calculate f(-4); by substituting

x = 4

into f(x), we find

f(-4)=\frac{1}{2}\cdot (-4)=-2

Finally, we want to find f(f^{-1}(-2))

We know already that

f^{-1}(-2)=-4

So we have:

f(f^{-1}(-2))=f(-4)=-2

7 0
3 years ago
Read 2 more answers
-2 divided by 2 5/6<br> (make a fraction and simplify)
seropon [69]

Answer:

−12/17

Step-by-step explanation:

This is the answer because:

1) First, convert 2 5/6 to an improper fraction

2 5/6 = 17/6

2) Next divide -2/1 and 17/6

3) The reciprocal of 17/6 is 6/17

4) -2/1 ÷6/17 is -12/17

Hope this helps!

6 0
3 years ago
Twelve times one-half of a number is thirty <br> six. What is the number? a. 3 b. 6 C. 8 d. 18
sukhopar [10]
The number would be C- 6
7 0
3 years ago
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