Mathematics College

Which word best describes the range of a function?
A. input

B. output

C. independent

D. relation

Answers

Answer 1
The answer to the question is D
Answer 2

Answer:

It is actually B output

Step-by-step explanation:

Related Questions

explain how you could convert a rate of 18000 miles per hour to miles per second

Answers

You could multiply that fraction by (1 hour / 3,600 seconds) .

               (18,000 mile / 1 hour) x (1 hour / 3,600 second) = 

               (18,000 x 1) / (1 x 3,600)  (mile-hour) / (hour-second) = 

                     (18,000 / 3,600)  (mile / second)  =  5 mile/second
18000 miles / 1 hour)(1 hour / 60 minutes)(1 minute / 60 seconds) =

18000 miles / 3600 seconds =

5 miles / 1 second

5 miles per second

Roger can run one mile in 8 minutes. jeff can run one mile in 6 minutes. if jeff gives roger a 1 minute head​ start, how long will it take before jeff catches up

Answers

recall your d = rt, distance = rate * time.

now, if Roger can do 1 mile in 8 minutes, so in 1 minute, he has done then 1/8 of a mile, so his rate is 1/8 miles per minute.

if Jeff can do 1 mile in 6 minutes, he's faster, in 1 minute he has done 1/6 of a mile, so his rate is 1/6 miles per minute.

now, when Jeff catches up with Roger, the distance covered by both will be the same, say "d" miles, because, at that millisecond, Jeff will be neck and neck with Roger, and their covered distance will be the same.

now, Jeff is generous and let Roger roll on for 1 minute before him, so, by the time time Roger has covered "d" miles, he has been running for say "t" minutes.

however, since Jeff started later by 1 minute, he hasn't been running for "t" minutes, but for "t - 1" minutes.

[tex]\bf \begin{array}{lccclll} &\stackrel{miles}{distance}&\stackrel{mpm}{rate}&\stackrel{minutes}{time}\\ &------&------&------\\ Roger&d&\frac{1}{8}&t\\\\ Jeff&d&\frac{1}{6}&t-1 \end{array} \\\\\\ \begin{cases} \boxed{d}=\frac{1}{8}t\\\\ d=\frac{1}{6}(t-1)\\ ------\\ \boxed{\frac{1}{8}t}=\cfrac{t-1}{6} \end{cases} \\\\\\ \cfrac{t}{8}=\cfrac{t-1}{6}\implies 6t=8t-8\implies 8=2t\implies \cfrac{8}{2}=t\implies \boxed{\stackrel{mins}{4}=t}[/tex]

Evaluate the function for x = 8. f(x)=x^2/16-2x A. –15 B. 20 C. –12 D. –24

Answers

the answer would be c

what is 79.4÷8 what is the answer in decimal form

Answers

79.4 / 8 is;

9.925. Hope this helps you.
Divide 8 into 79.4, either by hand or with a calculator:

9.925            (this is in decimal fraction form)

263,148 what is the value of the digit 6 in this number?

Answers

the ten thousands place

sixty thousand

hope this helps :)
sixth thousand hope it helps

Divide (8.6 x 108) by (3.2 x 103). Express your answer in scientific notation.

Answers

In doing this division, we will first divide the 8.6 by the 3.2 to get 2.6875.  Thankfully, that number is already in scientific notation so we don't have to worry about changing it.  Now for the rest of the problem.  When the bases are the same, and they are both 10's, you subtract the exponents.  [tex]10^{8-3}[/tex]   gives us 10^5.  The answer then in scientific notation is [tex]2.6875*10^5[/tex].

Greg practiced playing his clarinet for 12 minutes He has practiced 40% of the amount of time he needs to practice today how many more minutes does Greg need to practice today?

Answers

he already practiced 40%, he needs to do the rest, the remaining 60%.

now, we know that 40% is 12 minutes, what is the 60% anyway?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 12&40\\ x&60 \end{array}\implies \cfrac{12}{x}=\cfrac{40}{60}\implies \cfrac{12\cdot 60}{40}=x[/tex]

he needs to practice an extra "x" minutes.

what is greater 4 liter or 1 gallon

Answers

4 liters is larger than 1 gallon. 

What is the value of log5 125

Answers

 Answer:

[tex]log_5125=3[/tex]

Step-by-step explanation:

Given : [tex]log_5125[/tex]

We have to find the value of [tex]log_5125[/tex]

Consider the given expression [tex]log_5125[/tex]

Rewrite 125 in power- base form, [tex]125=5^3[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)[/tex]

[tex]\log _5\left(5^3\right)=3\log _5\left(5\right)[/tex]

[tex]=3\log _5\left(5\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1[/tex]

[tex]\log _5\left(5\right)=1[/tex]

[tex]3\log _5\left(5\right)=3[/tex]

Thus,  [tex]log_5125=3[/tex]

The value of log_5 125 is 3.

We have,

To find the value of log base 5 of 125, we need to determine the exponent to which we need to raise 5 to obtain 125.

In other words,

What power do we need to raise 5 to in order to get 125.

So,

By evaluating 5³ (5 raised to the power of 3), we find that 5³ = 125.

So, log base 5 of 125 is equal to 3, as log base 5 of 125 = 3.

So,

log base 5 of 125 equals 3 because 5 raised to the power of 3 gives us 125.

Thus,

The value of log_5 125 is 3.

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A sports club plans to have its lawn mowed. The cost of mowing x square feet of lawn is given by the function f(x) = 0.04x + 3.5, where f(x) represents the cost in dollars. The total area that needs to be mowed is given by the function g(x) = 12x.

Which function best describes C(x), the total cost of mowing the lawn of the sports club?

A) C(x) = 0.48x + 3.5x
B) C(x) = 0.48x2 + 3.5
C) C(x) = 0.48x2 + 42x
D) C(x) = 0.48x2 + 42

Answers

To do this, you would substitute every instance of x in the equation f(x) with the value of the g(x) equation. So, it would be C(x)=0.04(12x)+3.5. First, multiply 0.04 by 12x, which would be 0.48x. Now, your equation is C(x)=0.48x2+3.5. This is answer choice B. Hope this helps!

D

This is the plato answer

Graham uses a 10 by 10 grid to model a decreasing pattern. He cuts off a section representing a percent of the current area so that the remaining area represents the next term in the pattern, rounded to nearest whole centimeter. The area after each cut is shown on the graph.
After each cut, the remaining area is___% of the previous area

Answers

Sent a picture of the solution to the problem (s).

After the first cut, the remaining area represents 70% of the previous area.

How to calculate the area

Let's assume the initial area of the 10 by 10 grid is 100 square centimeters. After the first cut, a certain percentage of the current area is removed, leaving behind the remaining area. Let's say the remaining area after the first cut is 70 square centimeters.

To calculate the percentage of the remaining area compared to the previous area, we can use the formula:

(remaining area / previous area) * 100

In this case:

(70 / 100) * 100 = 70%

So, after the first cut, the remaining area represents 70% of the previous area.

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what values of x make up f(x)=3x+1 equal to g(x)=3^x+1? 0, 1, 2, 3 select all that apply

Answers

Let us plug-in the values of x to know

> x = 0

f(0) = 3(0) + 1 = 1

g(0) = 3^0 + 1 = 2

 

> x = 1

f(1) = 3(1) + 1 = 4

g(1) = 3^1 + 1 = 4

 

> x = 2

f(2) = 3(2) + 1 = 7

g(2) = 3^2 + 1 = 10

 

> x = 3

f(3) = 3(3) + 1 = 10

g(2) = 3^3 + 1 = 28

 

 

Therefore the only answer is:

1

Gwen, Tristan, and Keith like to work out at the gym. They each have an app on their phone that estimates the calories they burn. By the time Tristan and Keith started exercising, Gwen had already burned 100 calories. Gwen burns 10 calories every minute, Tristan burns 125 every 10 minutes, and Keith burns 300 calories every 30 minutes. Let x represent the number of minutes since Tristan and Keith started exercising and y represent the number of app-estimated calories burned. Part A

Answers

For part A) 
Let's make a function for each person, and then combine them to find total calories
Gwen burns 10 cal/min, and had already burned 100 calories when Tristan and Keith started (Yg=100 when x=0)
Yg= 10x + 100
Tristan burns 125 cal every 10 minutes, or 12.5 cal every minute.
Yt= 12.5x
Keith burns 300 calories every 30 min, or 10 calories every minute.
Yk= 10x
Add Yg, Yt, and Yk to find the general function y:
y=10x +100 + 12.5x + 10x
y = 32.5x + 100

Answer:

For part A)

Let's make a function for each person, and then combine them to find total calories

Gwen burns 10 cal/min, and had already burned 100 calories when Tristan and Keith started (Yg=100 when x=0)

Yg= 10x + 100

Step-by-step explanation:

I got a 100% on it.

Use substitution to determine which of the following points is a solution to the standard form equation below. 2y = 5

Answers

2.5=y is the answer to the problem and if its wrong you didn't show me the answers 

Mary is making some shirts for her school's drama department. The fabric store has 3 1/6 yards of the fabric she wants in stock. But this quantity of fabric can make only 1 1/3 shirts. What length of fabric does Mary need to buy if she wants to sew 2 shirts?

A)1 1/6
B)2 3/8
c)3 5/6
D)4 3/4

Answers

Solve this problem using an equation of ratios.

3 1/6 yards of the fabric she wants in stock. But this quantity of fabric can make only 1 1/3 shirts

Write the ratio

3 1/6 yards to 1 1/3 shirts:

19
---
 6 
---------------
4
---
 3

We need to reduce this.  The first (upper) ratio is 19/6; the second (lower() ratio is 4/3.  We can mult. numerator and denom. of 4/3 both by 2 to obtain the equivalent ratio 8/6.

Then we have the ratio

19/6
--------  which can be reduced to 19/8.  That's  (19/8) yard/shirt.  We can use
8/6       this as a conversion factor.

To make 2 shirts, Mary will need  (19/8 yards per shirt)(2 shirts) of material, or 38/8 yards, or 19/4 yards (answer).

Which of the following sets of points is a direct variation?

(0, 0); (2, 4); (5, 15)
(0, 0); (-1, -2); (1, 2)
(3, 6); (-2, 4); (-1, 2)
(0, 5); (1, 6); (2, 7)

Answers

I got the second one. Good Luck. Hope it helped.

Answer:

(0, 0); (-1, -2); (1, 2) and (0, 5); (1, 6); (2, 7).

Step-by-step explanation:

The set will have a direct variation if each pair is added or subtracted by a common number in each component. You also can see it graphically, if the points form a straight growing line then the set is a direct variation. Then,

In the first set we have

(0,0), (0+2,0+4), (0+2+3, 0+4+11). The behavior is not uniform, then it is not a direct variation.

Second set: (-1, -2); (0,0); (1, 2)

(-1,-2)(-1+1,-2+2), (-1+1+1, -2+2+2). The behavior is uniform and it is increasing, then it is a direct variaton.

Third set:

(-2, 4), (-2+1,4-2), (-2+1+4, 4-2+4). The behavior is not uniform, then it is not a direct variation.

Fourth set:

(0,5), (0+1, 5+1), (0+1+1, 5+1+1). The behavior is uniform and it is increasing, then it is a direct variaton.

Find the first partial derivatives of the function. f(x, y) = ax + by/ cx + dy

Answers

Final answer:

The partial derivatives of the given function f(x, y) = ax + by / cx + dy with respect to x and y have been calculated, showing how the function changes with each variable while holding the other constant.

Explanation:

For the function f(x, y) = ax + by / cx + dy, the first partial derivatives with respect to x and y are:

∂f/∂x = a(cy - by') / (cx + dy)²∂f/∂y = (ax - ay) / (cx + dy)²

These partial derivatives measure the rate of change of the function f(x, y) with respect to x and y while treating the other variable as constant.

A movie rental gives a free popcorn to every 15th customer and a free movie rental to every 4th customer. Which customer was the first to win both prizes?

Answers

The 60th customer will win both prizes. 
In both cases, start with 0.  

Every 15th customer includes #15, #30, #45, #60, etc.

Every 4th customer includes #4, #8, #12, #16, #20, #24, #28, #32, #36, #40, #44, #48, #52, #56, #60

#60 is the first customer to win both prizes.

HELP ME

On a Saturday, Tyler earned $97.20 waiting tables at a restaurant. He earned $9.25 an hour, and an additional $60.20 in tips. How many hours did he work that day? (Write and solve an equation to solve this problem.)

sorry my writing is messy

Answers

$97.20 divided by $9.25 is 10 hours

An ounce of pine nuts cost $1.40 if Ellen buys 2.5 ounces of pine nuts, how much will she have to pay

Answers

The answer is three dollars and fifty cents

An ounce of pine nuts cost $1.40 if Ellen buys 2.5 ounces of pine nuts, how much will she have to pay?

One ounce cost $1.40, she needed 2 and a half ounces so. 

1.40
x 2.5
=$3.50

As of this writing, the powerball lottery is run in 42 states. winning the jackpot requires that you select the correct five numbers between 1 and 59 and, in a separate drawing, you must also select the correct single number between 1 and 39. find the probability of winning the jackpot. 34.

Answers

Final answer:

The probability of winning the Powerball jackpot is 1 in 292,201,338.

Explanation:

To find the probability of winning the Powerball jackpot, we need to calculate the probability of selecting the correct five numbers between 1 and 59 and the correct single number between 1 and 39.

The probability for each part is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

For the five numbers, there are 59 possible choices and we need to select 5, so the probability is 1/59 × 1/58 × 1/57 × 1/56 × 1/55.

For the single number, there are 39 possible choices, so the probability is 1/39.

To find the overall probability, we multiply the probabilities of both parts together: (1/59 × 1/58 × 1/57 × 1/56 × 1/55) × (1/39) = 1/292,201,338.

Carol ate 2/5 of the cake, Dima ate 3/8 of the REMAINING cake, mom ate the rest.
If it was a POUND cake, how many OZ did MOM eat? PLEASE HELP ASAP, GIVING BRAINLIEST.

Answers

she would've eaten half of the cake, or 8 oz.

Her mum ate 31/40 of the cake

Given the weight of the cake to 1 pound

If Carol ate 2/5 of the cake, the remaining fraction of the cake will be 1 - 2/5 = 3/5

If Dima ate 3/8 of the REMAINING cake, then the fraction of cake Dima ate will be:

Dima = 3/8 * 3/5

Dima = 9/40

Fraction of the cake that her mum ate = 1 - 9/40 = 31/40

Hence her mum ate 31/40 of the cake

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Which situation could best be represented by this linear equation?

24x + 38y = 520

Answers

C. If x represents the number of bracelets sold at $24 each and y represents the number of rings sold at $38 each, the total sales were $520.

Trevor had 4 small boxes of raisins to share equally among himself and 2 friends.



How many boxes of raisins would each person receive?



A.




B.




C.




D.


Answers

Divide:   4 boxes / 3 persons = (4/3) box per person.

What is the locus of all points that are a fixed distance from a given point? A) angle B) circle C) triangle D) line segment

Answers

A circle is a fixed distance from all other points on the circle

Suppose that a person with a push mower can mow a large lawn in 2 ​hours, whereas the lawn can be mowed with a riding lawn mower in 1 hours. working​ together, how long will it take to mow the​ lawn

Answers

Working together, the job takes x hours to do.

If a lawn can be mowed with a push mower is 2 hours, then in 1 hour, you do 1/2 of the job.

If the same lawn can be mowed with a riding mower in 1 hour, then in 1 hour you do 1 job.

If the same lawn can be mowed by the two mowers together in x hours, then in 1 hour you get 1/x done.

1/2 + 1 = 1/x

3/2 = 1/x

x = 2/3

They take 2/3 of an hour. 2/3 * 60 min = 40 minutes.

2/3 hours take to mow the​ lawn.

what is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

Time taken to mow by push mower= 2 hours

Time taken to mow by riding mower= 1 hours

So, if working together  the time taken

= 1 / (1/2 + 1/1)

=1/ (3/2)

= 2/3

Hence, it will take 2/3 hours.

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Solve this quadratic equation using the quadratic formula. 3x2 + 4x = 6

Answers

Take the equation and put it into ax² + bx + c = 0.

3x² + 4x - 6 = 0

a = 3
b = 4
c = -6

The quadratic formula is :

x = -b ± √b² - 4ac / 2a

Substitute the values.

x = -4 ± √4² - 4(3)(-6) / 2(3)

x = -4 ± √16 + 72 / 6

x = -4 ± √88 / 6

x = -4 ± 2√22 / 6

Simplify the equation by factoring out the 2.

x = -2 ± √22 / 3

Solutions :

x = -2 + √22 / 3

x = -2 - √22 / 3

Answer:

x= -2 + and - sqrt 22 /3

Step-by-step explanation:

What number is 40% of 135?

Enter your answer in the box.

Answers

The answer is 54.

How did we find this out?

Turn 40% into a decimal: 0.40

Now multiply by 135. (0.40 * 135 = 54)

Hope this helped! ☺♥

Which number is a prime number??

111
121
131
141

Answers

The prime number you are looking for is 141

Final answer:

Among the given options, the number 131 is a prime number, as it only has two divisors: 1 and itself.

Explanation:

The student has asked to identify which number among the given options is a prime number. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Analyzing the given options:

111 is divisible by 3.

121 is divisible by 11 (11 x 11).

131 is a prime number because it has no divisors other than 1 and itself.

141 is divisible by 3.

Therefore, the correct answer is 131, which is a prime number.

Mrs. Barlow's math class took a test yesterday. Out of 60 students, 70% of them passed. How many of Mrs. Barlow's students passed the test?

Answers

42.
60/100=.6
.6x70=42 
so 60 people took the test and 70% passed(What awful stats!) thus we get 60*0.70=42 people who passed
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