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2 years ago

If f(x) = (x+1)-1 and g(x) = x–2, what is the domain of Rx) = g(x)?

Mathematics

1 answer:

german2 years ago

3 0

Step-by-step explanation:

f is (x+1)-1

and g (the next letter in the alphabet) is x-2

first for f

x+1-1 = x

Then we -2 for g

So every letter there o words is just 2 less than the previous letter like

h would be h= x-4

so r(x) is g which is x-2 and x which would have to be the remaining amount to get to the number

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Roxanne is comparing the monthly payments for a new car at two different car dealerships.

andreyandreev [35.5K]

9514 1404 393

Answer:

A: $563.39

B: $567.84

Step-by-step explanation:

The attached shows the formula. The graphing calculator evaluates it for the different car choices.

The monthly payment for the car from Dealership A is $563.39.

The monthly payment for the car from Dealership B is $567.84.

5 0

3 years ago

On March 24, 1989, the Exxon Valdez oil tanker ran aground and leaked millions of gallons of oil into Prince William Sound. The

Tema [17]

Answer:

592 hours

Step-by-step explanation:

Given

$Area = 11000m^2$

$Radius = 0.10m/h$

Required

Determine the time taken to cover the area

Since, the oil formed a circular pattern; the question will be answered using area of a circle

$Area = \pi r^2$

Let t represent the time take to cover 11000m²;

The relationship between these parameters is:

$11000 = \pi * (0.10t)^2$

Substitute 3.14 for π

$11000 = 3.14 * (0.10t)^2$

Divide both sides by 3.14

$\frac{11000}{3.14} = \frac{3.14 * (0.10t)^2}{3.14}$

$\frac{11000}{3.14} =(0.10t)^2$

$3503.18471338 = (0.10t)^2$

Take square root of both sides

$\sqrt{3503.18471338} = \sqrt{(0.10t)^2}$

$\sqrt{3503.18471338} = 0.10t$

$59.1877074516 = 0.10t$

Divide both sides by 0.10

$\frac{59.1877074516}{0.10} = \frac{0.10t}{0.10}$

$\frac{59.1877074516}{0.10} = t$

$591.877074516 = t$

$t = 591.877074516$

$t = 592\ hours$ (Approximated)

Hence, it'll take approximately 592 hours to cover the given area

3 0

3 years ago

Read 2 more answers

What is the place value for 4 in 12354897

Ludmilka [50]

Thousandths I'm pretty sure

8 0

3 years ago

Suppose that the travel time from your home to your office is normallydistributed with mean 40 minutes and standard deviation 7

Alex73 [517]

Answer:

The latest time that you should leave home is 12:08 PM

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 40, \sigma = 7$

If you want tobe 95 percent certain that you will not be late for an office appointment at 1 P.M.,what is the latest time that you should leave home?

How many minutes is the 95th percentile of travel time?

it is X when Z has a pvalue of 0.95. So it is X when Z = 1.645. So

$Z = \frac{X - \mu}{\sigma}$

$1.645 = \frac{X - 40}{7}$

$X - 40 = 7*1.645$

$X = 51.6$

Rouding up, the 95th percentile for travel time is 52 minutes.

52 minutes before 1PM is 12:08 PM.

The latest time that you should leave home is 12:08 PM

7 0

3 years ago

What are the steps to convert a number from standard notation to scientific notation

Margaret [11]

Answer:

Step-by-step explanation:

Let's take 4200 as an example.

To convert 4200 into scientific notation, follow these steps:

- Move the decimal 3 times to left in the number so that the resulting number, m = 4.2, is greater than or equal to 1 but less than 10

- Since we moved the decimal to the left the exponent n is positive

n = 3

- Write in the scientific notation form, m × 10^n

= 4.2 × 10^3

Therefore, the decimal number 4200 written in scientific notation is 4.2 × 10^3 and it has 2 significant figures.

3 0

2 years ago