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Keith_Richards [23]
3 years ago
6

Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula. A. an=10(2n−1) B. an=5(2n−1) C. an=4(2n−1) D. an=20(2n−1)

Mathematics
1 answer:
creativ13 [48]3 years ago
8 0

Answer:

This is a geometric sequence. There is no answer according to the choices you have provided.

Step-by-step explanation:

The sequence is;

4, 8, 16, 32, 64, ....

The formula to find n^th , T_{n} , term is:

T_{n} = a × r , where a is the first term and r is the common ratio.

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Consider the given functions,

\begin{gathered} f(x)=\frac{1}{2}x \\ f^{-1}(x)=2x \end{gathered}

Solve for f(2) as,

\begin{gathered} f(2)=\frac{1}{2}(2) \\ f(2)=1 \end{gathered}

Thus, the value of f(2) is equal to 1 .

Solve for inverse of f(1) as,

\begin{gathered} f(2)=\frac{1}{2}(2) \\ f(2)=1 \end{gathered}

Thus, the value of f(2) is equal to 1 .

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A farmer wants to clear an area of forest land she owns for more farm land. She measured and surveyed this land and drew up this
Sergio039 [100]
Just multiple each side!
3 0
3 years ago
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Rectangle LMNO is rotated 90° clockwise around the origin to create rectangle L'M'N'O'. Which statement would best describe the
xeze [42]

Answer:

they are equidistant from the origin

Step-by-step explanation:

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3 years ago
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Please help, this is my last question then I'm done school for the year! This will give you 50 points plus ill give you brainlie
blagie [28]

Answers:

Internal height is approximately 28.5714285714286 cm

Internal surface area is roughly 9628.57142857143 square cm

Round the values however you need to

==========================================================

Work Shown:

1 L = 1000 mL

1 L = 1000 cm^3

60 L = 60,000 cm^3 (multiply both sides by 60)

The cooler has volume of 60,000 cubic cm. Let V = 60000

Assuming the cooler is a rectangular prism (aka a block), then we can say

volume = length*width*height

V = L*W*H

60000 = 60*35*H

60000 = 2100H

2100H = 60000

H = 60000/2100

H = 28.5714285714286 which is approximate

And the surface area (SA) is

SA = 2*(LW + LH + WH)

SA = 2*(60*35 + 60*28.5714285714286 + 35*28.5714285714286)

SA = 9628.57142857143 which is also approximate

Units for the surface area are in square centimeters.

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4 years ago
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castortr0y [4]

Answer:

Step-by-step explanation:

(2x-5)(x+6)=0

either 2x-5=0               Or, x+6=0

2x-5=0

2x=0+5

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x+6=0

x=0-6

x=-6

so x=5/2 , x=-6

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