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Goshia [24]
3 years ago
5

A hardware store rents vacuum cleaners that customers may use for part or all of a day, before returning. The store charges a fl

at fee plus an hourly rate. Choose the linear function f for the total rental cost of a vacuum cleaner.
Mathematics
1 answer:
Vsevolod [243]3 years ago
5 0

Answer:

Total rental cost is:

y = Bx + M

where x is number of additional hours, y is total cost, M is fixed fee, and B are  is amount that is charged per hour.

Step-by-step explanation:

Let amount of flat fee = M

let hourly rate = B

Total rental cost = ?

As given the store charges a flat fee plus an hourly rate:

                                      ⇒    y = Bx + M

where x is number of additional hours, y is total cost, M is fixed fee, and B are  is amount that is charged per hour.

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Mapiya writes a series of novels. She earned \$75{,}000$75,000dollar sign, 75, comma, 000 for the first book, and her cumulative
qwelly [4]

Answer:

E(n)=75000 \times 2^n

Complete question:

write a function that gives mapiyas cumulative earnings E(n), in dollars when she has written n sequel's

Step-by-step explanation:

According to the question, she earned $75000 for the first book.

Also,We are  given that her cumulative earnings double with each sequel that she writes.

Assuming she has written n sequel's

Now since we are given that her cumulative earnings double with each sequel

So, her initial earning will be 2^n times

So, her earning will be : 75000 \times 2^n

Now we are given that cumulative earnings is denoted by E(n)

So, the function becomes :E(n)=75000 \times 2^n

Hence a function that gives Mapiya's cumulative earnings E(n), in dollars when she has written n sequel's  is  E(n)=75000 \times 2^n

4 0
3 years ago
Briefly describe scientific notation. how is it useful for writing large and small​ numbers? how is it useful for making​ approx
Alenkasestr [34]
Scientific notation, also called pattern or notation in exponential form, is a way of writing numbers that accommodate values too large (100000000000) or small (0.00000000001) to be written in a conventional manner.

 The use of this notation is based on powers of 104
 Example:
 Big numbers:
 100000000000 = 1 * 10 ^ {11}

 Small numbers:
 0.00000000001 = 1 * 10 ^{-11}

 However, in areas such as physics and chemistry, scientific notation is important to make approximations such as:
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4 0
3 years ago
Find the equation of a line with the given points.(put your answers in the form y=mx+b)(6,2)(5,5)
Nesterboy [21]

The slope-intercept form: y= mx + b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (6, 2) and (5, 5). Substitute:

m=\dfrac{5-2}{5-6}=\dfrac{3}{-1}=-3

Therefore we have y = -3x + b.

Put the coordinates of the point (5, 5) to the equation:

5 = -3(5) + b

5 = -15 + b     <em>add 15 to both sides</em>

20 = b

<h3>Answer: y = -3x + 20</h3>
6 0
3 years ago
Read 2 more answers
6 to the power of -1 in simplified form
babunello [35]
-6. 6^0 is 1 so 6 to -1 is -6.
7 0
1 year ago
1. Which of the following numbers is an example of an integer?
Leokris [45]
1. All whole numbers (0, 1, 2,...) and their negative equivalent ( -1, -2, -3, ...) are considered integers. Hence, from the choices provided, the answer would be A. 2. Real numbers consist of rational and irrational numbers. So the statement "Every real number is a rational number" is not correct. Thus, the answer is D. 3. 5.85, 63.4, and 27.5 are terminating decimals. This means that they have a fixed decimal conversion and does continue endlessly. Meanwhile, for 8.52624 . . ., its digit goes on forever. So, odd one out would be C. 4. Irrational numbers are those that cannot be expressed as the ratio of two numbers. Examples for this would be the value of the constant e, √2, etc. Rational numbers, on the other hand, are numbers that can be expressed as ratio of two numbers. As can be seen irrational and rational numbers are opposite of ech other, by definition. Hence, irrational numbers cannot be classified as rational numbers. That will give an answer of E. 5. From the previous items, we can see that both rational and irrational numbers are part of the real number system. This means that every irrational number is a real number. Hence, the answer is C. <span>Answers: A, D, C, E, C </span>
8 0
3 years ago
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