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insens350 [35]
3 years ago
10

A computer is programmed to combine 60,000 points of data in such a way that with each iteration, there are half as many data po

ints as before. The number of data points after any number of iterations, x, can be modeled with the following function. f(x)= 60,000(1/2)^x
Which statement compares the mathematical range and reasonable range of the function?

A. Both the mathematical and reasonable ranges are limited to real numbers greater than 0 and less than or equal to 262,144.

B. Both the mathematical and reasonable ranges are limited to whole numbers greater than 0 and less than or equal to 262,144.

C. The mathematical range is all real numbers greater than 0. The reasonable range is all real numbers greater than 0 and less than or equal to 262,144.

D. The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144.
Mathematics
1 answer:
Digiron [165]3 years ago
4 0

Answer:

D.) The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than others equal to 60,000.

Step-by-step explanation:

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The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative
madam [21]

The true statement is:

"The range of the function is all real numbers less than or equal to 9."

<h3>Which statements are true?</h3>

Here we have the quadratic function:

f(x) = -x^2 - 4x + 5

And we want to see which of the given statements are true.

The first one is:

"The domain is al real numbers less than or equal to -2"

This is false, for all quadratic functions the domain is the set of all real numbers (unless the domain is defined).

The second statement is:

" The domain of the function is all real numbers less than or equal to 9."

Also false

Third one:

" The range of the function is all real numbers less than or equal to −2"

The range of a quadratic function with a negative leading coefficient will be the set of all the values smaller than the y-value of the vertex.

In this case, the quadratic function is:

f(x) = -x^2 - 4x + 5

So the vertex is at:

x = 4/(2*-1) = -2\\

Then the y-value of the vertex is:

f(-2) = -(-2)^2 - 4*(-2) + 5 = -4 + 8 + 5 = 9

So the range is the set of all real numbers less than or equal to 9.

So the above statement is false, and the final one:

"The range of the function is all real numbers less than or equal to 9."

Is the true statement.

If you want to learn more about quadratic functions:

brainly.com/question/1214333

#SPJ1

8 0
1 year ago
Find the volume of a right circular cone that has a height of 11.8 ft and a base with a radius of 7.3 ft. Round your answer to t
lora16 [44]

Answer:

The answer to your question is 658.2 ft³

Step-by-step explanation:

Data

Volume = x

height = 11.8 ft

radius = 7.3 ft

Formula

Volume of a cone = 1/3πr²h

Process

1.- Calculate the volume

Volume = 1/3(3.14)(7.3)²(11.8)

Volume = 1/3(3.14)(7.3)²(11.8)

Volume = 1/3(3.14)(53.29)(11.8)

Volume = 1/3(1974.5)

Rounded to the nearest tenth

Volume =  658.2 ft³

3 0
3 years ago
Select all of the following that represent quadratic expressions:
suter [353]
C. (x + 2)(x + 1)

it can be turned into an equation :)
7 0
3 years ago
What is a pattern to find the value of 7×10 to the third power
Ksju [112]
7=================+.
3 0
2 years ago
Read 2 more answers
A manufacturer has 5,634 pens to divide into packs of 4 pens. The manufacturer makes as many packs as possible.
Pachacha [2.7K]

Answer:

1,408 packs can be made, and 2 pens will be left out.

Step-by-step explanation:

Given that a manufacturer has 5,634 pens to divide into packs of 4 pens, and the manufacturer makes as many packs as possible, to determine how many packs of pens does the manufacturer make, and how many pens are left over, the following must be done calculation:

5.634 / 4 = X

1,408.5 = X

5,634 - (1,408 x 4) = X

5.634 - 5.632 = X

2 = X

Therefore, 1,408 packs can be made, and 2 pens will be left out.

4 0
3 years ago
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