HELP PLZ ASAP!!!!A landfill has 60,000 tons of waste in it. Each month it accumulates an average of 360 more tons of waste. What is a function rule that represents the total amount of waste after m months? Let W represent the total amount of waste and m represent months.


A. W= 360m + 60,000

B. W= 60,000m + 360

C. W= 360m - 60,000

D. W= 60,000m - 360

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

Your answer is A.

Anytime you have a variable or something that changes such as the month that is a variable so that means its going to be your x/m in this case


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1-1 Relations and Functions Marcus drives 32 miles to work each day. He records the number of minutes it takes him to drive and writes his average speed as the input and the number of minutes as the output. He recorded his information in a table, like the one shown below. Speed (mph) Time (minutes) 60 32 45 43 55 35 50 38 62 31 If Marcus drives no faster than 65 miles per hour, what is the domain that includes all possible average speeds using interval notation? O A. [0, 65] B. [65,-) O C. (0, 65) D. (65,-)​

Answers

Answer:

A. [0, 65]

Step-by-step explanation:

Given that

Distance that Marcus drives every day = 32 miles.

The table having average speed as input and time taken as output is shown below in the table format:

\begin{center}\begin{tabular}{ c c}Speed(mph) & Time(minutes) \n 60 & 32  \n  45 & 43  \n   55 & 35  \n 50 & 38  \n 62 & 31   \n\end{tabular}\end{center}

To find:

The domain that includes all possible average speeds using interval notation = ?

Solution:

First of all, let us understand what is a domain of a function.

Domain of a function is set of valid input values that can be provided to the function so that it has a valid output.

If a function is written as:

y=f(x) then values of x are the input given to the function.

In the given question statement, we are given that maximum Average speed attained by Marcus is 65 miles per hour.

That means domain has a maximum value of 65.

Let us learn something about interval notation.

( or ) means the value is not inclusive.

[ or ] means the value is inclusive.

Here 65 will be inclusive.

On the left side of comma, lower value is written and on the right side of comma, larger value is written.

So, domain for the current situation will be:

[0, 65]

0 is taken as the minimum value of domain here, because average speed value can not be negative.

This interval will contain all the possible values of input (average speed) as shown in the above table of values.

Write a word problem that could be solved with the equation
0.15x + 200 650

Answers

Answer:

13.3

Step-by-step explanation:

if equal amounts of a 50% alcohol solution and a 20% alcohom somution are mixed, what percentage of the mixture is alcohol

Answers

Answer: 60%

Is NOT RIGHT

Step-by-step explanation:

I don’t know

Final answer:

To calculate the percentage of alcohol in the mixture, multiply the percentage alcohol by the volume of each solution, add the alcohol content of both solutions, and divide by the total volume of the mixture.

Explanation:

When equal amounts of a 50% alcohol solution and a 20% alcohol solution are mixed, the resulting percentage of alcohol in the mixture can be calculated using the following steps:

  1. Calculate the alcohol content of each solution by multiplying the percentage alcohol by the volume in liters. The 50% alcohol solution has a content of 0.5 x volume, and the 20% alcohol solution has a content of 0.2 x volume.
  2. Add the alcohol content of both solutions together to get the total amount of alcohol in the mixture.
  3. Divide the total amount of alcohol by the total volume of the mixture to get the percentage of alcohol in the mixture.

For example, if we mix 1 liter of the 50% solution with 1 liter of the 20% solution, we would have a total volume of 2 liters. The alcohol content of the 50% solution would be 0.5 x 1 liter = 0.5 liters, and the alcohol content of the 20% solution would be 0.2 x 1 liter = 0.2 liters. Adding these together, we have a total alcohol content of 0.5 + 0.2 = 0.7 liters. Dividing this by the total volume of 2 liters gives us a percentage of 0.7/2 = 0.35, or 35% alcohol in the mixture.

Learn more about Alcohol percentage in a mixture here:

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The equation T^2=A^3 shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A, in astronomical units, AU. If planet Y is twice the mean distance from the sun as planet X, by what factor is the orbital period increased?

Answers

the answer for your question is going to be. 2^((3)/(2)) I know this cause I just took a quiz with this question on it

Answer:

2 Superscript three-halves

Step-by-step explanation:

Edge

How would you simplify (-4r^5)(2r^8)? ​

Answers

Answer:

−8r^13

Step-by-step explanation:

Combine like terms

-4r and 2r= -8r

then add the exponents

5+8=13

THEN SIMPLIFY

-8r^13

Solve for x 4 - (x + 2) < -3(x + 4)

Answers

Answer:

x<-7

Step-by-step explanation:

Use inverse operations to solve

4 - ( x + 2 ) < -3 ( x+ 4)

first distribute the (-) sign and the (-3)

4 -x -2 < -3x -12

simplify

2 -x < -3x -12

simplify again, with inverse operations

2 -x < -3x -12

+3x    +3x

2 + 2x < -12

-2           -2

2x < -14

/2       /2

x<-7

in 4 - (x + 2) < -3(x + 4), x < -7

isolate the variable by dividing each side by factors that don't contain the variable.