The formula for the volume of a cylinder with a height of 5 units is V(r)=(5)(pi)(r^2) where r is the radius of the cylinder. What is the domain and range of this function?
Answers
Answer:
D=(-∞,∞) Range = [0, ∞)
Step-by-step explanation:
V(r) =5πr²
Firstly we have to work with π as ≈ 3.14 so that we can make it better, by doing this we reveal it more clearly its quadratic form
V(r)= 15.71r²
As there is no restriction algebraically speaking. The Domain is all the Real Line. This is a Total Function.
As for the Range, since any negative value plugged into x² will turn into a positive one we'll only have positive results for y to each entry of x. So the Range is f(x) ≥0
As you can check it below.
Related Questions
Without subtracting 8.5 - 4.64, determine what digit will be in the hundredths place. Explain
PLEASE HELP PRONTO
Answers
The two-way table shows the number of students in a school who have bikes and/or skateboards at home:
Have Bikes
Do Not Have Bikes
Total
Have Skateboards
32
10
42
Do Not Have Skateboards
40
12
52
Total
72
22
How many more students have bikes than skateboards?
10
12
30
50
Help Please!! Gets brainliest
Answers
You subtract 72 and 42
72-42=30
Erik drove 62 miles per hour for 4.5 hours. Use the equation below to determine how far he drove.
D= r • t
D =distance, r= rate of speed, t= time
Answers
r = 62 mph
t = 4.5 hours
d = 4.5*62 = 279 total miles
Using Euler’s Formula (F + V = E + 2), find the number of edges. Faces: 25 Vertices: 17 Edges: ?
Answers
F = 25
V = 17
25 + 17 = E + 2
42 = E + 2
42 - 2 = E
40 = E <== there are 40 edges
This question is based on the concept of Euler’s Formula. Therefore, there are 40 edges.
Given:
Faces: 25 Vertices: 17
We need to determined the number of edges by using the Euler’s Formula (F + V = E + 2).
According to the question,
It is given that,
Faces: 25
Vertices: 17
By using Euler’s Formula ,
F + V = E + 2
Now put all the given values in the formula.
We get,
25 + 17 = E + 2
42 = E + 2
42 - 2 = E
E = 40
Therefore, there are 40 edges.
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Choose the linear inequality that describes the graph. The gray area represents the shaded region
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slope = (-2 - 0) / (0 - 1) = -2/-1 = 2
y int (where the line crosses the y axis) = (0,-2)
equation is : y = 2x - 2.....line is solid, so there is an equal sign in the problem....shading is above the line, so it is greater then
ur inequality is : y > = 2x - 2
Answer:
The required inequality that shown in the given graph is [tex]y\geq 2x-2[/tex].
Step-by-step explanation:
Consider the provided graph.
The y-intercept of the line is, (0,-2)
The x-intercept of the line is, (1,0)
To find the equation of line use the formula:
[tex](y-y_1)=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Substitute [tex](x_1,y_1)=(0,-2)\text{and}(x_2,y_2)=(1,0)[/tex]
[tex]y-(-2)=\frac{0-(-2)}{1-0}(x-0)[/tex]
[tex]y+2=\frac{(2)}{1}(x)[/tex]
[tex]y+2=2x[/tex]
[tex]y=2x-2[/tex]
Therefore the equation of line is [tex]y=2x-2[/tex].
The graph is solid line and shaded region is above the line. So, use the inequality sign "≥".
Thus, the required inequality that shown in the given graph is [tex]y\geq 2x-2[/tex].
How do you write 2.82 in words
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I WILL GIVE BRAINLIEST please I really need the answer
Answers
L:12 W:4 H:8
L:5 W:3 H:8
L:10 W:5 H:2
L:3 W:6 H:2
L:20 W:8 H:16
Hii Thank You So Much For Helping Me And Clicking On My Math Problem I Really Appreciate Your Help So So Much Again Thank You.
Answers
Question 1.
Okay let's go through each option and see if it could be there or not.
Quadrant IV?
It could not be in quadrant IV because in quadrant IV all of the y values are negative, and all of the x values are positive.
y-axis?
It could not be on the y-axis because on the y-axis all of the x values are 0, and it already said the point is not (0, 0).
Quadrant II?
It could not be in Quadrant II because in quadrant II all of the y values are positive and all of the x values are negative.
Quadrant III?
It could be in Quadrant III because in quadrant III all of the y values are negative and all of the x values are negative.
Quadrant I?
It could be in Quadrant I because in quadrant I all of the y values are positive and all of the x values are positive.
x-axis?
It could not be on the x-axis because on the x-axis all of the y values are 0, and it already said the point is not (0, 0).
So the answer to question 1. is Quadrant I and Quadrant III.
Question 2.
Look at point (5, 0) on the graph. Now draw an imaginary vertical line on that point, that goes all the way to the top and bottom. Are there any blue points on the line?
Yes. Point (5, -5) is on the imaginary line. Which means that 5 yards were lost.
The answer to question 2. is 5 yards were lost.
Question 3.
Look at the distance from the cafeteria and the library. Count how many point are separating them (1 - (-7), or 1 + 7).
There are 8 points separating them.
8/2 = 4
Find the point that is 4 to the left of the library, or 4 to the right of the cafeteria.
The point is (-3, 9)
The answer to question 3. is (-3, 9).
Hope this helps! :)
Jay Miller insured his pizza shop for $200,000 for fire insurance at an annual rate per $100 of $.49. At the end of 10 months, Jay canceled the policy since his pizza shop went out of business. Using the tables in the Business Math Handbook that accompanies the course textbook, determine the refund to Jay.
A. $127.40
B. $980
C. $186.20
D. $852.60
Answers
Who do you work out 5 Quarts.= ? Cups and 48cups = ? Gallons
Answers
16 cups = 1 gallon
so
5 quarts = 20 cups
48 cups = 3 gallons
For the quarts to cups:
First, you need to figure out how many cups are in 1 quart. This is 4 cups = 1 quart.
If you have 4 cups in one quart then you need to multiply 4 cups by 5 quarts which equals 20 cups.
For the cups to gallons, you first need to find out how many cups are in 1 gallon. This is 16 cups = 1 gallon.
If you have 16 cups in 1 gallon then you will need to multiply 48 cups by 16 to find out how many gallons you will have which equals 3 gallons.
Hope this helps.
Please Help! Will Give A Brainliest!!
Answers
B) You should take all integers from (-2, 2) which are: -2, -1, 0, 1, 2 and put them one by one in the example:
x = -2
y1 = 4^-(-2) = 4^2 = 16
y2 = 2^(-(-2) + 1) = 2^(2+1) = 2^3 = 8
y1 ≠ y2 => so x=-2 isn't our answer
-------------------------------------------------------
x = -1
y1 = 4^-(-1) = 4^1 = 4
y2 = 2^(-(-1) + 1) = 2^(1+1) = 2^2 = 4
y1 = y2 => so our answer will be x = -1
-------------------------------------------------------
x = 0
y1 = 4^-(0) = 4^0 = 1
y2 = 2^(-(0) + 1) = 2^(0+1) = 2^1 = 2
y1 ≠ y2 => so x=0 isn't our answer
--------------------------------------------------------------
x = 1
y1 = 4^-(1) = 4^(-1) = 1/4
y2 = 2^(-(1) + 1) = 2^(-1+1) = 2^0 = 1
y1 ≠ y2 => so x=1 isn't our answer
--------------------------------------------------------------
x = 2
y1 = 4^-(2) = 4^(-2) = 1/16
y2 = 2^(-(2) + 1) = 2^(-2+1) = 2^(-1) = 1/2
y1 ≠ y2 => so x=2 isn't our answer
Which means that our final answer is: x=-1
C) You should draw both graphics, and their intersection point (x) will be the answer.
I hope it helped.
7 more than 11 times a number increased by the quotient of y and z
Answers
........
..........................
Answer:
brainlist plzz
Step-by-step explanation:
If p is a prime, which one of the following could be a prime also?
F) 23p + 45
G) 23p + 46
H) 23p + 47
J) 23p + 48
K) 23p + 49
Answers
Final answer:
The expression that could potentially yield a prime number when p is substituted with a prime number is 23p + 46, since it results in an odd number.
Explanation:
To determine which of the options could also be a prime number, we need to check each expression by substituting a prime number for p. Since we are looking for a possible prime number, we can start by excluding options that will always result in an even number (which can't be prime unless the value is 2).
We know that any prime number p (other than 2) will be odd, and hence 23p will also be odd. Adding an odd number (45, 47, 49) to an odd number results in an even number, which cannot be prime other than 2. On the other hand, adding an even number (46 or 48) to an odd number results in an odd number.
The answer could be 23p + 46 or 23p + 48. However, 48 is divisible by 2, which would make 23p + 48 even (hence not prime for any p greater than 2). Therefore, the only potential expression that could yield a prime is 23p + 46, as long as p is chosen such that the result is not divisible by any other number.
Simplify completely quantity x squared minus 10 x minus 24 all over x squared minus 3 x minus 108 and find the restrictions on the variable.
Answers
-------
x+9
x is not equal to -9 or 12
x+2/x+9 is the simplified form of x squared minus 10 x minus 24 all over x squared minus 3 x minus 108 and x≠-2 and x≠-9 are the restrictions of the variable.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given sentence is x squared minus 10 x minus 24 all over x squared minus 3 x minus 108
(x²-10x-24)/(x²-3x-108)
We will simplify the given expression by factorisation we will get
(x²-12x+2x-24)/x²-12x+9x-108
Taking x as common from first two terms in numerator and 2 from last two terms in numerator
Similarly, take x common from first two terms and 9 from last two terms in denominator we will get
x(x-12)+2(x-12)/x(x-12)+9(x-12)
(x+2)(x-12)/(x+9)(x-12)
After simplifying we are left with x+2/x+9
the restrictions on the variable is x should not be equal to -9 and it should not be -2
Hence, x+2/x+9 is the simplified form of x squared minus 10 x minus 24 all over x squared minus 3 x minus 108 and x≠-2 and x≠-9 are the restrictions of the variable.
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Pleaseeee helppppppppp
Answers
answer
12
Which expression is equivalent to –21.8 – (–18.3)?
Answers
or 18.3-21.8
or the answer which is -3.5
The equivalent expression of the expression -21.8 - (-18.3) will be -3.5.
What is an expression?
Expression in math is defined as the collection of the number, variables and functions by using operations like addition, subtraction, multiplication, and division.
The mathematical expression is given as;
⇒ - 21.8 - (- 18.3)
Now, Solve the expression as;
The mathematical expression is
⇒ - 21.8 - (- 18.3)
= -21.8 + 18.3
(Since, Two negative sign give positive sign after combine.)
After subtract the numbers we get;
= - 3.5
So, The equivalent expression is;
⇒ - 21.8 - (- 18.3) = - 3.5
Thus, The equivalent expression of the expression -21.8 - (-18.3) will be -3.5.
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The following table shows the data collected from a random sample of 100 middle school students on the number of hours they play outdoor games every week: Weekly Duration of Outdoor Games Time (in hours) 0-2 3-5 6-8 9-11 Number of Students 30 62 8 0 There are 1,200 students in the school. Based on the sample proportion, how many students in the school would be expected to play outdoor games for at least three hours every week?
Answers
Answer:
you been waiting for your answer since 2017 bru im so sorry LLMA O the answer is 840
Answer:
840
Step-by-step explanation:
30 + 62 + 8 = 100
100 x 12 = 1,200
70 people out of 100 do activities for at least three hours a week.
70 x 12 = 840
100 x 12 = 1,200
840/1,200 in the school are expected to play outdoor games for at least three hours every week.
oml you asked this question in 2017. THATS 5 YEARS AGO
sorry
What is the length of the segment of the number line consisting of the points that satisfy (x-4)^2 <= 9$?
Answers
first we find that 4 times 4 is 16 then we subtract 16 from 9 which results in 5.
now lets try the question (5-4)^2=9 the square roots of 5 and 4 are 25 and 16
25-16 is 9 so the length should be 5
The length of the number line segment satisfying the inequality (x-4)² ≤ 9 is 6 units, found by solving the inequality to get the range 1 <= x <= 7 and subtracting the lower endpoint from the higher endpoint.
To find the length of the segment of the number line for the points that satisfy the inequality (x-4)² ≤ 9, we first solve the inequality. Taking square roots of both sides gives us |x-4| ≤ 3.
This means that the distance from x to 4 on the number line is less than or equal to 3. We can express this as two separate inequalities: x-4 ≤ 3 and x-4 ≥ -3. Solving these gives us x ≤ 7 and x ≥ 1, which represent the endpoints of the segment on the number line.
The length of this segment is the difference between the endpoints, which is 7 - 1 = 6. So, the length of the number line segment that contains all points satisfying the original inequality is 6 units.
Explain how complex fractions can be used to solve problems involving ratios
Answers
PLEASE HELP i have no idea how to do this answer will give you 30 points please help
Answers
20. (-8)×x-15=30
21. p=23w
22. S=P+2
23. 7
24. -13
25. -8
26. 13
27. -10
28. -72
29. -6
30. 3
19. 13(x+5)=91
20. (-8)×x-15=30
21. p=23w
22. S=P+2
23. 7
24. -13
25. -8
26. 13
27. -10
28. -72
29. -6
30. 3
the length and width of a rectangle whose length is 2 centimeters more than the width
Answers
L= 2+w
I cannot solve this, however, because you have not included the total perimeter/area
The length and width of a rectangle can be represented as x + 2 cm and x cm, respectively.
Explanation:In this problem, we are given that the length of a rectangle is 2 centimeters more than the width. Let's say the width of the rectangle is x centimeters. Then, the length of the rectangle would be x + 2 centimeters.
So, the dimensions of the rectangle are: length = x + 2 cm and width = x cm.
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A map of Australia has a scale of 1cm : 110 km. If the distance between Darwin and Alice springs is 1444 kilometers, how far apart are they on the map, to the nearest tenth of a centimeter
Answers
1444/110 = 13.127
x = 13.127 cm
hope this helps
find a8 of the sequence 10, 9.75, 9.5, 9.25
Answers
Let:
[tex]\mathsf{a_1 = 10}\\ \mathsf{a_2=9.75}\\ \mathsf{a_3 = 9.5}\\ \mathsf{a_4 = 9.25}[/tex]
Note that:
[tex]\mathsf{a_2 -a_1 = a_3-a_2=a_4-a_3 = -0.25 = r}[/tex]
Now we can make the General term formula:
[tex]\mathsf{a_n= a_1 +(n-1)r}\\ \\ \boxed{\mathsf{a_n = 10 - (n-1)0.25}}[/tex]
Now we calculate a₈:
[tex]\mathsf{a_8 = 10-(8-1)0.25}\\ \\ \mathsf{a_8 = 10 - 7\cdot0.25}\\ \\ \mathsf{a_8 = 10 - 1.75}\\ \\ \boxed{\boxed{\mathsf{a_8=8.25}}}[/tex]
Of the children at Molly's daycare, 1/8 are boys and 2/5 of the boys are under 1 year old. How many boys at the daycare are under 1 year old.
Answers
To find the number of boys at Molly's daycare that are under 1 year old, we can use the given fractions to calculate the answer.
Explanation:To find the number of boys at Molly's daycare that are under 1 year old, we first need to determine the total number of boys at the daycare. Since 1/8 of the children are boys, we can assume that 1/8 of the total number of children are boys. Let's say there are a total of x children at the daycare. If 1/8 of x represents the number of boys, we can write the equation (1/8) * x = number of boys. Now, we need to find the number of boys that are under 1 year old. Since 2/5 of the boys are under 1 year old, we can write the equation (2/5) * (1/8) * x = number of boys under 1 year old. Simplifying this equation gives us the answer: (1/20) * x = number of boys under 1 year old.
a team won 11 of its last 25 games.what percent of its games did the team win?
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show the graphical representation of 2/3 using a pie chart.
Answers
To produce a pie chart reflecting 2/3, the pie must be divided into 3 equal parts, representing the whole. Two of these sections are then filled in or marked, representing the 2 in the fraction 2/3 or roughly 66.7% of the total pie chart.
Explanation:To create a pie chart representation of the fraction 2/3, you need to think of the pie as representing the whole or 1. From there, we split the pie into 3 equal parts (since your denominator is 3), then, you will shade in 2 of those parts (as your numerator is 2). That shaded area of the pie chart represents 2/3.
It's essential to remember that each slice of the pie in a pie graph represents a share of the total or percentage. Thus, if you consider your pie to be 100%, then each one-third piece would be roughly 33.3%, and two of these would give you approximately 66.7%, which is the decimal equivalent of 2/3.
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If you spend $9.74 in how many ways can you receive change for a ten-dollar bill
Answers
That is 26 cents.
There are coins: 1,5,10 and 25 cents.
We list all the possible options.
1+25=26
1+10+10+5=26
1+10+5+5+5=26
1+5+5+5+5+5=26
And variant with more penny:
26 times by penny
11 times by penny +10+5=2611 times by penny +5+5+5=2621 times by penny +5=2616 times by penny +10=2616 times by penny +5+5=266 times by penny +5+5+5+5=266 times by penny +5+5+10=266 times by penny +10+10=26
So it's 13 of variants
Final answer:
To determine the ways to receive change for a ten-dollar bill when you have spent $9.74, you need to consider the coin denominations that sum up to the remaining $0.26. This is a combinatorial problem known as the 'coin changing problem,' which involves calculating the combinations of coins that can be used to make up the remaining change.
Explanation:
To calculate how many ways you can receive change for a ten-dollar bill, you would need to consider the different denominations of U.S. currency and how they could combine to total the difference between your purchase amount of $9.74 and a $10 bill, which is $0.26.
The ways you can receive change can include a combination of quarters, dimes, nickels, and pennies.
To model this as a mathematical problem, let's calculate the different combinations: You could receive one quarter and one penny, or two dimes and six pennies, or one dime, one nickel, and eleven pennies, and so on.
Since the question asks for the number of ways to receive change and not the specific combinations, we can use combinatorics to determine the total number of combinations.
Note:
Since the actual calculations for combinatorics can be complex and the question does not provide all the necessary details to give a definitive number, we can consider this as an example of a combinatorial problem in mathematics.
The coin changing problem is a classic example that could be applied here, where algorithms can be used to find the number of ways to make change for a certain amount using given denominations.
PLEASE HELP WITH MATH VOCAB THX!!
Answers
2. multiplicative inverse: 13/17 * 17/13 = 1
3. distributive property: 1/3(24+15) = 1/3*24 + 1/3*15
4. associative property of addition = 101+(29+417) = (101+29) + 417
5. commutative property of addition = (-14) + 81 = 81 +9-14)
hope it helps
Fathi wants to print out a PDF document that is 48 pages long. To save paper, he decides to print on both sides of each sheet and to print two pages on each side of the sheet.
Answers
Fathi will need 12 sheets of paper to print a 48 page PDF document by printing two pages on each side of the paper. The total page count is halved twice, once for each side of a sheet and again for each pages printed per side.
Explanation:Fathi has a PDF document that is 48 pages long and he wants to print it in a way that saves paper. This involves printing two pages on each side of a sheet of paper and then using both sides of the sheet. To find out how many sheets he will need, we can start by halving the total page count because printing two pages on each side means we effectively halve the number of pages. So, 48÷2 equals 24 'effective' pages. Then, because he's printing on both sides of each sheet, we halve that number again, giving us 24÷2 equal 12 sheets of paper. So Fathi will need 12 sheets of paper to print his 48-page document.
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7(h+3)=6(h-3) pls help