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3 years ago

Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain.

Mathematics

2 answers:

weeeeeb [17]3 years ago

4 0

Answer:

Step-by-step explanation:

given the first 3 terms of the geometric sequence - 4, 20, - 100

with r = $\frac{-100}{20}$ = $\frac{20}{-4}$ = - 5

the n th term formula ( explicit formula ) is

$a_{n}$ = $a_{1}$ $r^{n-1}$

here r = - 5 and $a_{1}$ = - 4, hence

$a_{n}$ = - 4 $(-5)^{n-1}$ with n ≥ 1

pishuonlain [190]3 years ago

4 0

Answer:

answer would be b.

Step-by-step explanation:

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A. A 5in radius ball is in a

abruzzese [7]

Answer:

52.33%

Step-by-step explanation:

Since, all six sides of the box are touching the ball.

So, all the three dimensions of the box are equal.

Hence, it is a cubical box.

Side length of the box (l)

= diameter of the ball

= 2*radius of the ball

= 2*5

= 10 In.

$V_{ball} = \frac{4}{3} \pi r^3$

$V_{ball} = \frac{4}{3} \times 3.14(5)^3$

$V_{ball} = \frac{4}{3} \times 3.14\times 125$

$V_{ball} = \frac{1,570}{3}\: In^3$

$V_{box} =l^3$

$V_{box} =(10)^3$

$V_{box} =1000\: In^3$

Percentage of the space in the box occupied by the ball

$= \frac{V_{ball}}{V_{box} } \times 100$

$= \frac{\frac{1,570}{3}}{1000} \times 100$

$= \frac{1570}{3000} \times 100$

$= \frac{157}{3}$

$= 52.33\%$

5 0

3 years ago

What is the value of f(3)?

Anni [7]

Answer:

-12

Step-by-step explanation:

Note that when x < 6, you will use the expression -4x

f(x) = -4x

Plug in 3 for x

f(3) = -4(3)

Simplify. Multiply

f(3) = -4(3)

f(3) = -12

-12 is your answer

5 0

3 years ago

if there are 12 dogs that sell for $104 and 8 cats that sell for $25. At the end of the day there are 4 dogs left and 5 cats lef

Vinil7 [7]

Initially there were 12 dogs

dogs left at the end of day =4

number of dogs sold=12-4=8

price of one dog=$104

price of 8 dogs = 104*8= $832

initially there were 8 cats

cats left at the end of day =5

number of cats sold =8-5=3

price of one cat= $25

price of 3 cats =25*3= $75

ratio of sales for dogs to cats = 832/75

7 0

3 years ago

The keypad on Sam’s cell phone is shown at right. As you can see,

anzhelika [568]

To complete the table we must carefully observe the keypad, we will notice that each number is equivalent to 3 letters of the alphabet except the numbers 7 and 9 which have 4 letters each.

<h3>How does the keypad work?</h3>

Previously, cell phone keypad had a different layout than today. The numbers were related to the letters of the alphabet and the number key was pressed according to the letters that were related.

For example, if you wanted to type the letter B, you would have to press the number 2 key twice.

The relationship of numbers and letters was distributed as follows:

It had no letters.
A, B and C.
D, E and F.
G, H and I.
J, K and L.
M, N and O.
P, Q, R and S.
T, U and V.
W, X, Y, and Z.

According to the above, the table would be completed as follows.

Note: This question is incomplete because there is some missing information. Here is the missing information:

1. Complete this table to show the relation from letter to number.

Learn more about keypad in: brainly.com/question/1156254

3 0

2 years ago

Solve the given inequality. Describe the solution set using the set-builder or interval notation. Then, graph the solution set o

Korolek [52]

Answer:

Step-by-step explanation:

10(10m+6)<=12

100m+60<=12 Distributive Property

100m <=12-60

100m <=-48

m <=-48/100

m <=-.48

This says values for m that are less than or equal to -.48

-.48 is between -1 and 0 so the answer is B

6 0

3 years ago

Read 2 more answers