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3 years ago

Consider the geometric sequence below.

Mathematics

1 answer:

vladimir1956 [14]3 years ago

3 0

Answer:

f(1) = 8

Common ratio: 0.5

Step-by-step explanation:

f(1) means the firs term in a sequence.

In the function f(n), represented by 8, 4, 2, 1, .., the first term is 8.

f(1) = 8

To find the common ratio, divide any term by the term before it.

We can use any two of the given terms in the sequence EXCEPT for 8 because it is the first term and does not have a term before it.

I choose to divide the second term by the first term:

4/8 = 1/2 = 0.5

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Lea has 3/4 cup of laundry detergent left in detergent bottle. Each load of laundry requires 1/6 cup of detergent. How many load

Stells [14]

ANSWER

Lea can wash 4½ loads of laundry with the remaining detergent.

EXPLANATION

Quantity of detergent left
$= \frac{3}{4}$

Quantity required to watch each load
$= \frac{1}{6}$

Number of loads Lea can wash
$= \frac{3}{4} \div \frac{1}{6}$

We now simplify this by multiplying with the reciprocal

Number of loads Lea can wash

$= \frac{3}{4} \times \frac{6}{1}$

$= \frac{3}{2} \times \frac{3}{1}$

$= \frac{9}{2}$

$= 4 \frac{1}{2}$

Therefore Lea can wash 4½ loads of laundry with the remaining detergent.

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3 years ago

A lottery game has balls numbered 1 through 15. What is the probability of selecting an even numbered ball or a 13?

LiRa [457]

Answer:

8 / 15

Step-by-step explanation:

Sample space = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}

Required outcome :

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Total required outcomes = 8

Probability = required outcome / Total possible outcomes

P(even number or 13) = 8 / 15

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3 years ago

HOW MANY 7 DIGIT TELEPHONE NUMBERS ARE POSSIBLE IF THE FIRST DIGIT CANNOT

lyudmila [28]

Answer:

there are 8 million different phone numbers whose phone numbers whose digits aren't 0 or 1

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2 years ago

What is the area of this composite figure?

VLD [36.1K]

Answer:

36.56

Step-by-step explanation:

the area of a circle is r^2×pi (here 2^2×pi) then add the area of the middle rectangle (so 4×6)

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2 years ago

A new car is purchased for 24600 dollars. The value of the car depreciates at 13.75% per year. What will the value of the car be

liraira [26]

Answer:

The value will be $1,411.20

Step-by-step explanation:

What we do here is to set up an exponential equation to calculate the value.

Mathematically it will look like this;

V = I(1-r)^n

where V is the future value

I is the initial amount = 24,600

r is rate of decrease = 13.75% = 13.75/100 = 0.1375

n is the number of years = 15 years

substituting these values, we have

V = 24,600(1-0.1375)^15

V = 24600(0.8625)^15

V = 1,411.165582454129

= $1,411.20

7 0

3 years ago