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Yakvenalex [24]

3 years ago

12

two sequences have the formulae 3n-1 and 7n+2 . A new sequences is formed by the number which appear in both of these sequences.

Determine the formula for the nth term.

1 answer:

dangina [55]3 years ago

5 0

Answer:

65+42*(n-1)

Step-by-step explanation:

aₙ = 65+42*(n-1)

65, 107, 149, 191, .....

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Which of the following pairs of functions are inverses of each other?

aliina [53]

Answer:

A or C

Step by Step Explanation:

7 0

2 years ago

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A 4-PINT carton of ice cream costs $12.04. What is the price per QUART

kiruha [24]

1 quart = 2 pints.

This means a 4 pint container is 2 quarts.

To find the price for 1 quart divide the price by 2:

12.04 / 2 = $6.02 per quart.

4 0

2 years ago

The value of a certain car decreases by 16% each year. What is the 1⁄2-life of the car?

svet-max [94.6K]

Answer:

The half life of the car is 3.98 years.

Step-by-step explanation:

The value of the car after t years is given by the following equation:

$V(t) = V(0)(1-r)^{t}$

In which V(0) is the initial value and r is the constant decay rate, as a decimal.

The value of a certain car decreases by 16% each year.

This means that $r = 0.16$

So

$V(t) = V(0)(1-r)^{t}$

$V(t) = V(0)(1-0.16)^{t}$

$V(t) = V(0)(0.84)^{t}$

What is the 1⁄2-life of the car?

This is t for which V(t) = 0.5V(0). So

$V(t) = V(0)(0.84)^{t}$

$0.5V(0) = V(0)(0.84)^{t}$

$(0.84)^{t} = 0.5$

$\log{(0.84)^{t}} = \log{0.5}$

$t\log{0.84} = \log{0.5}$

$t = \frac{\log{0.5}}{\log{0.84}}$

$t = 3.98$

The half life of the car is 3.98 years.

7 0

3 years ago

liz wants to determine which sport students like to play the most at her school.which method will most likely produce a random e

never [62]

Answer:

Random sampling

Step-by-step explanation:

Random sampling is a method of choosing a sample of observations from a population to make assumptions about the population. It is also called probability sampling.

6 0

1 year ago

The length of a rectangular poster is 9 more inches than two times its width. The area of the poster is 161 square inches. Solve

irinina [24]

Answer:

<u>Width = 7 inches</u>

<u>Length = 23 inches</u>

Step-by-step explanation:

Let :

length = 2x + 9
width = x

Equating to area :

(2x + 9)(x) = 161
2x² + 9x = 161
2x² + 9x - 161 = 0
2x² - 14x + 23x - 161 = 0
2x(x - 7) + 23(x - 7) = 0
x - 7 = 0
x = 7

Dimensions are :

<u>Width = 7 inches</u>
Length = 2(7) + 9
<u>Length = 23 inches</u>

8 0

2 years ago

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