Step-by-step explanation:
Given,
the radius(r)of the cone's base = 8 cm
the height(h)of the cone = 8 cm
then the volume of cone
= 1/3 πr²h
= (1/3×22/7×8²×8 (substituting the value of r and h )
=(1/3×22/7×64×8)cm³
=(12544/21)cm³
=597.333cm³(ans)
If you face any doubt related to the solution please ask me
The volume of the cone is 536.38 cubic cm if the radius of the cone is 8 cm and the height of the cone is 8 cm.
What is the volume of a cone?The volume of a cone is the amount of space possessed by a cone in a three-dimensional plane. A cone contains a circular base, which suggests the base is made of a radius and diameter.
The volume can be defined as a three-dimensional space enclosed by an object or thing.
The formula for the volume of the cone,
\(\rm V=\dfrac{1}{3} \pi r^2h\)
r = radius of the circular base
h= perpendicular height of the cone
Here, r = 8 cm
h = 8 cm
So the volume of the given cone will be,
\(\rm V=\dfrac{1}{3} \pi r^2h\\\\\\=\dfrac{1}{3}\times\dfrac{22}{7}\times8^2\times8\\\\\\\)
V = 536.38 cubic m
Volume =536.38 cubic cm
Thus, the volume of the cone is 536.38 cubic cm if the radius of the cone is 8 cm and the height of the cone is 8 cm.
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A bus took a 12-hour trip and traveled 700 miles. The speed was 75 mph for the first part of the trip, and then decreased to 50 mph for the second part of the trip. How many hours were traveled at each speed?
_____ hours at 75 mph
_____ hours at 50 mph
which of the following beverages contains the most alcohol? 12-ounce can of beer 1.5 ounces of 80-proof liquor 5-ounce glass of wine all of these contain the same amount of alcohol
A 12-ounce can of beer contains the same amount of alcohol as a five-ounce glass of wine.
In a five-ounce glass of wine, the percentage of alcohol is 12%, which is the same in the 12-ounce can or bottle of beer, and 1.5 ounces of 86-proof liquor. Although a person under the influence of alcohol will have impaired judgment and therefore must avoid driving, doesn't matter what kind of alcoholic beverage they drink. Digestion of alcohol doesn't take place as soon as you drink it, it is absorbed in your bloodstream which reaches the brain and thus creates impaired judgment.
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What is the area of a circle with the radius of 11.5 meters? ill give brainliest
Answer:
415.265 m²
Step-by-step explanation:
A=π r²
π*132.25
Answer:
415.48 m²
The area would be 415.48 square meters
Write the word sentence as an inequality.
A number b
multiplied by −5
is at most −34
.
Answer:
-5b <= -34
Step-by-step explanation:
The inequality phrase, "at most" is same as "less than or equal to". So the algebraic inequality would be -5b <= -34. To solve for b, divide both sides by -5 and make sure to switch the inequality symbol to >= when dividing or multiplying inequalities by a negative number. So b >= 34 / 5.
The height of a triangle is 4 in. Greater than twice the base. The area of the triangle is no more than 168in^2. Which inequality can be used to find the possible lengths, x, of the base of the triangle
Answer:
b^2 + 2b <= 168
Step-by-step explanation:
The base is b.
The height, h, is 4 in. greater than twice the base, so the height is 2b + 4.
The area of a triangle is bh/2. We replace h with the expression for height.
A = bh/2 = b(2b + 4)/2 = (2b^2 + 4b)/2 = b^2 + 2b
The area is b^2 + 2b.
The area is no more than 168 in.^2, so it is less than equal to 168 in.^2.
b^2 + 2b <= 168
("<=" means "less than or equal to")
Since you don't show the choices, choose an inequality that is equivalent to the one just above.
Can anyone solve for y? (Ignore extra work on the side and above the equations)
Considering the vertical angles in this problem, the value of y is given as follows:
y = 5.
What are vertical angles?Vertical angles are angles that are opposite by the same vertex on crossing segments, hence they share a common vertex, thus being congruent, meaning that they end up having the same angle measure.
The vertical angles for this problem are given as follows:
(4y - 6)º.14º.Hence the value of y for this problem is obtained as follows:
4y - 6 = 14
4y = 20
y = 5.
Missing InformationThe graph is given by the image presented at the end of the answer.
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NEED HELP ASAP! (50 POINTS)
Areas of Similar Figures
Answer:
1:3
2:2
Step-by-step explanation:
Veronica went to the local convenience store to buy bread, milk, dishwashing liquid, and paper towels. The table below shows the cost for each item, including tax. Veronica gave the cashier a $10.00 bill. The cashier handed her 3 quarters and 4 pennies in change. Veronica thought she should have received more change.
Which mathematical explanation best supports Veronica's claim?
The cashier scanned the milk twice.
The cashier scanned the bread twice.
The cashier handed out 4 pennies instead of 4 dimes.
The cashier did not scan the dishwashing liquid.
Answer:
Cashier scanned the bread twice.
Step-by-step explanation:
= 2.49 + 2.19 + 1.47 + 0.87 = 7.02
= 7.02 + 0.75 = 7.77
= 7.77 + 0.04 = 7.81
With 2 dollars and 19 cents leftover, even if the pennies were changed to dimes, youd still have only get up to 8.17 which still leaves 1 dollar and 83 cents leftover.
With that eliminated what could have the cashier miss-scanned? The paper towels are incorrect because 1.47 + 7.81 doesnt make 10 dollars
The dishwashing liquid isn't right either, because 0.87 + 7.81 doesn't make 10 dollars aswell.
The milk is also incorrect because 2.49 + 7.81 doesnt make EXACTLY 10 dollars. The bread is to correct answer bevause 2.19 + 7.81 equals exactly 10 dollars.
Hope this helps :)
what is the midpoint of (a+2b,b-a) and (a-2b,3a+b)
Answer:
(a, a+b).
Step-by-step explanation:
Midpoint = [(a+2b + a-2b)/2 ], [b-a + 3a+b]/2
= (2a/2, (2a+2b)/2
= (a, a+b).
help asap, ill give
The greatest number of bags Caesar can make is 16 bags. Each of these bags will have 5 boxes of pasta and 8 jars of sauce.
If Caesar made fewer bags, he would have boxes of pasta and jars of sauce remaining.He could use 8 bags but this is not the greatest number he could use.What is the number of pasta and sauce in each bag?Boxes of pasta = 32Jars of sauce = 48Find the greatest common factor of 32 and 48
32 = 1, 2, 4, 8, 16, 3248 = 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.The greatest common factor of 32 and 48 is 16
So, the greatest number of bags Caesar can make is 16 bags
Number of pasta in each bag = 32/16
= 5 boxes of pasta per bag
Number of sauce in each bag = 48/16
= 8 jars of sauce per bag
If Caesar made fewer bags, he would have boxes of pasta and jars of sauce remaining.
He could use 8 bags but this is not the greatest number he could use.
Therefore, Caesar can use the greatest common factor to determine the highest number of bags he could use.
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find the cost of 24 opera tickets at 112 each
Answer:
2688
Step-by-step explanation:
Answer:
The answer is - 2688
Step-by-step explanation:
24×112=2688
Which polynomial would be classified as a cubic trinomial?
a) -5x^2-4x
b) -3x^4+2x^3-8
c) 5x^3-4x+2
d) 7x^4-3x^^3
Answer: C
Step-by-step explanation: What is an example of cubic trinomial?
Cubic Trinomials of the Form Ax^3 + Bx+^2 + Cx
For example, the greatest common factor of the trinomial 3x^3 - 6x^2 - 9x is 3x, so the polynomial is equal to 3x times the trinomial x^2 - 2x -3, or 3x*(x^2 - 2x - 3).
The difference between two integers is 6. The sum of their sqaures is a minimum. Find the 2 integers.
Answer with explanation gets brainliest.
Answer:
3 and - 3Step-by-step explanation:
Let the numbers are x and y.
Their difference is:
x - y = 6Sum of their squares:
S = x² + y²Substitute y = x - 6 into sum equation:
S = x² + (x - 6)² = x² + x² - 12x + 36 = 2x² - 12x + 36We observe this is a quadratic expression. It has minimum value at vertex, which is when x = -b/2a or:
x = - (-12/2*2) = 3Then the value of y is:
y = x - 6 = 3 - 6 = - 3use the classical definition to find the probability of the following event: rolling a fair die once and getting a number greater than 2. express your answer as a decimal rounded to one decimal place
The probability of rolling a fair die once and getting a number greater than 2 is 0.7.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Let a fair dice is roll once.
The total numbers on dice are 6
The total numbers greater than 2 on dice are 4 which are 3, 4, 5, and 6.
So,
P(getting number greater than 2) = 4/6 = 0.7
Hence, the probability of rolling a fair die once and getting a number greater than 2 is 0.7.
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Which type of data would be best displayed in a dot plot?
Answer:
it is used for univariate data
Step-by-step explanation:
Answer:
univariate data
Step-by-step explanation:
data that is not the average, but something like the height, or age of the people in your class.
You are standing on a ledge and throw a ball from 10 feet above the ground. The speed the ball leaves your hand is 16 feet per second and the acceleration of gravity is -16 feet per second squared.
1. How many seconds does it take to reach the highest point (vertex)?
The ball reached its maximum height at a time of 1 second.
How many time is needed for the ball to reach its maximum height?
In this problem we have the case of a ball that experiments a free fall, that is, a case of an uniform accelerated motion due to gravity. The position of the ball as a function of time is represented by a quadratic equation:
y' = y + v · t + 0.5 · g · t²
Where:
y - Initial position, in feet.v - Initial velocity, in feet per second.t - Time, in seconds.g - Gravitational acceleration, in feet per square second.And to determine the time related to the highest point, we need to rearrange the expression into its standard form:
y' - k = C · (t - h)²
Where:
(h, k) - Coordinates of the vertex.C - Vertex constantFirst, write the quadratic equation:
y' = y + v · t + 0.5 · g · t²
y' = 10 + 16 · t - 8 · t²
Second, complete the square until the standard form is found:
y' - 10 = 16 · t - 8 · t²
y' - 10 = - 8 · (t² - 2 · t)
y' - 18 = - 8 · (t² - 2 · t + 1)
y' - 18 = - 8 · (t - 1)²
The ball takes a time of 1 second to reach its maximum height.
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Please help it’s graded and I just don’t want to fail
Answer:
630/49
Step-by-step explanation:
Please help with number 2!
Answers:
D'' = (1, -3)
E'' = (1, -1)
F'' = (3, -1)
G'' = (3, -4)
A diagram is shown below.
========================================================
Explanation:
The center of dilation is point E, which means this point does not move when the dilation is applied. Every other point will move.
As your diagram indicates, segment DE is 4 units long. If we apply the scale factor 1/2, then D'E' will be half as long meaning D'E' = 2. So point D' is 2 units above point E at (1,3)
Point F is 4 units away from point E. The scale factor 1/2 will bring F closer to E leading to segment F'E' = 2. So we'll start at E and move 2 units to the right to land on F ' (3, 1)
From F to G is 6 units, which cuts in half to 3. So from F' to G' is 3 units telling us we start at F ' (3, 1) and go up three units to get go G ' (3, 4)
So far we have
D ' = (1, 3)
E ' = (1, 1) ... fixed point doesn't move
F ' = (3, 1)
G ' = (3, 4)
-------------
From here we'll apply the reflection over the x axis rule which says
\((x,y) \to (x, -y)\)
the x coordinate stays the same, and the y coordinate flips from positive to negative (or vice versa).
Based on what was mentioned for D', E', F' and G', we get the following
D'' = (1, -3)
E'' = (1, -1) .... this point does move now
F'' = (3, -1)
G'' = (3, -4)
Points E' and E'' are in different locations because all fixed points in this reflection are along the mirror line y = 0 (aka the x axis). In other words, if E was on the x axis, then it would not move if we applied this reflection.
Check out the diagram below see a visual summary of what happened. Note how the red points moved in closer to point E (since the distances from the center E have been cut in half) compared to the blue counterparts.
Range of g(x)=3 square root of x
The range of the function g(x) is given as follows:
[0, ∞).
How to obtain the domain and range of a function?The domain of a function is obtained as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is obtained as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:
[0, ∞).
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please please help me
Answer:
what are you doing
Step-by-step explanation:
P = $3300, r = 5.3%, t = 8 monthsCalculate the simple interest earned. Round to the nearest cent.
The formula for finding simple interest is as given below
\(I=\frac{\text{PRT}}{100}\)\(\begin{gathered} I=\text{Interest} \\ P=P\text{rincipal} \\ r=\text{Rate} \\ t=\text{time in years} \end{gathered}\)The following were given in the question
\(\begin{gathered} P=\text{ \$3300} \\ r=5.3\text{ \%} \\ t=8\text{months}=\frac{8}{12}\text{years}=\frac{3}{4}=0.75\text{years} \end{gathered}\)Substitute the given into the formula to get the value of the interest as shown below
\(I=\frac{\text{Prt}}{100}=\frac{3300\times5.3\times0.75}{100}\)\(\begin{gathered} I=\frac{13117.5}{100} \\ I=131.175 \end{gathered}\)Hence, the simple interest earn is $131. 175
School starts at 8:35 am. It takes billy 32 minutes to get dressed, 13 minutes to eat breakfast, and 17 minutes to walk to school. At what time should billy get up to be right on time for school? : *
The time Billy should get up to be right on time for school is 6:52 am.
The formula to calculate the time Billy should get up to be right on time for school is as follows: Time Billy Should Get Up = School Start Time - (Time to Get Dressed + Time to Eat Breakfast + Time to Walk to School). In this case, the formula is: Time Billy Should Get Up = 8:35 am - (32 minutes + 13 minutes + 17 minutes). In order to solve this equation, first we must convert the minutes to hours. 32 minutes is equal to 0.53 hours and 13 minutes is equal to 0.22 hours. 17 minutes is equal to 0.28 hours. Thus, the formula is: Time Billy Should Get Up = 8:35 am - (0.53 hours + 0.22 hours + 0.28 hours). Now, we can solve for the time Billy should get up. 8:35 am minus 0.53 hours is 7:42 am. Then, 7:42 am minus 0.22 hours is 7:20 am. Finally, 7:20 am minus 0.28 hours is 6:52 am. Therefore, the time Billy should get up to be right on time for school is 6:52 am.
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Cronbach's alpha indicates to what extent scale items are correlated to each other?
True
False
False. Cronbach's alpha is a measure of internal consistency reliability, not a measure of the correlation between scale items.
It assesses the extent to which the items in a scale or questionnaire are measuring the same underlying construct.
Cronbach's alpha is calculated based on the inter-item correlations among the items in a scale. It provides a measure of the average correlation between all possible pairs of items in the scale. The range of Cronbach's alpha is between 0 and 1, with higher values indicating greater internal consistency or reliability.
Essentially, Cronbach's alpha quantifies the extent to which the items in a scale are consistently measuring the same construct or concept. It assesses how well the items "hang together" as a reliable measurement tool.
While correlation between scale items is related to internal consistency, Cronbach's alpha specifically measures the degree to which the items are interrelated and provides a single coefficient that reflects the overall reliability of the scale. It does not directly indicate the extent of item-item correlations or the strength of individual item contributions to the scale.
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How much is 123 pounds in kilograms?
55.79 kilos are equal to 123 pounds.
There are 0.45359237 kilogram in a pound.
55.79 kilos are equal to 123 pounds (123 x 0.45359237).
The imperial system of measuring uses the unit of mass known as 123 pounds. We must convert pounds to kilogrammes in order to determine how many kilogrammes this is. Since one pound is equal to 0.45359237 kilogram , we must multiply this number by 123 to get how many kilogrammes 123 pounds are. This computation yields a total weight of 55.79 kilos.Hence, 123 pounds are equivalent to 55.79 kilos. It is helpful to know how to convert between the two units of measurement because doing so is a crucial skill for measurements and calculations in general.
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Simplify. Write your answer as a proper or improper fraction in simplest form.
8/3 / 7/5 = ?
Step-by-step explanation:
the answer is 40 / 21
pls mark brainliest
Megan owns a clothing boutique. The table below represents the profit made, in dollars, every year since 2010, where x represents the number of years since 2010. Years since 2010 0 1 2 3 4 5 Profit (dollars) 39,000 84,000 111,000 120,000 111,000 84,000 Which of the following statements is true for this situation? O A. Since the profit made in 2011 is equal to the profit made in 2015, the profit is symmetric about the line x= 4. O B. Since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y= 120,000. OC. The profit is not symmetric. OD. Since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line x= 3.
Answer:
Step-by-step explanation:
I think it’s 738,738.977 I mean
Suppose there are five processes, their arrival time and running time are listed as follows. Adopt FCFS and SJF, respectively, give the schedule order and average waiting time. (12) 1) Give the schedule order of FCFS. (3) 2) Compute the average waiting time of FCFS. (3) Give the schedule order of SJF. (3) 3) 4) Compute the average waiting time of SJF. (3) Process Arrival time Running time Pl 0 3 P2 3 10 P3 4 6 P4 5 1
Average waiting time for FCFS: 8.75
SJF schedule order: Pl -> P4 -> P3 -> P2Average waiting time for SJF: 4.75
To solve this scheduling problem using FCFS (First-Come, First-Served) and SJF (Shortest Job First) algorithms, let's go step by step:
Schedule order for FCFS:
The FCFS algorithm schedules processes based on their arrival time. So, the schedule order for FCFS is as follows:
Pl -> P2 -> P3 -> P4
Average waiting time for FCFS:
To compute the average waiting time for FCFS, we need to calculate the waiting time for each process and then take the average.
Process | Arrival Time | Running Time | Waiting Time
Pl | 0 | 3 | 0
P2 | 3 | 10 | 3
P3 | 4 | 6 | 13
P4 | 5 | 1 | 19
Average waiting time = (0 + 3 + 13 + 19) / 4 = 8.75
Therefore, the average waiting time for FCFS is 8.75.
Schedule order for SJF:
The SJF algorithm schedules processes based on their running time. The process with the shortest running time gets executed first. If multiple processes have the same running time, the process with the earliest arrival time is selected first. The schedule order for SJF is as follows:
Pl -> P4 -> P3 -> P2
Average waiting time for SJF:
To compute the average waiting time for SJF, we need to calculate the waiting time for each process and then take the average.
Process | Arrival Time | Running Time | Waiting Time
Pl | 0 | 3 | 0
P4 | 5 | 1 | 3
P3 | 4 | 6 | 6
P2 | 3 | 10 | 10
Average waiting time = (0 + 3 + 6 + 10) / 4 = 4.75
Therefore, the average waiting time for SJF is 4.75.
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Stacy's class went on a field trip to the aquarium, where Stacy counted the number of fish in 10 schools that swam by: 45 fish 47 fish 46 fish 44 fish 47 fish 43 fish 43 fish 44 fish 47 fish 45 fish What was the range of the sizes of a school?
Given :
the number of fish in 10 schools that swam by:
45 , 47 , 46 , 44 , 47 , 43 , 43 , 44 , 47 , 45
so, the minimum = 43
And the maximum = 47
so, Range = maximum - minimum = 47 - 43 = 4
The approximate circumference of a circle that has a center at (8,6) and passes
through the point (8, 12) is:
units.
:: 12
:: 36
38
:: 113
Answer:
????
Step-by-step explanation:
Graph the function and analyze it for domain, range, continuity, increasing or decreaseing behavior, symmetry, boundedness,
extrema, asymptotes, and end behavior.
f(x)=3•e^2x
A graph is a collection of points and the connections between some subset of those points that may or may not be empty in mathematical terms.
What are the values of the terminologies of the graph ?The given function is f (x ) = \(3e^{2x}\)
1. Domain :
The function has no undefined points or domain constraints . Therefore the domain is -∞ < x < ∞ .2.Range :
The range of the exponential function is of the form f(x) > kSince k = 0, f(x) > 03.Continuity:
The graph is a single, continuous curve (i.e. a curve that can be drawn in one movement without taking your pen off the paper). We can observe that the function is basically continuous.4.Behaviour that is either increasing or decreasing:
For any x in the domain, as x grows, f(x) shrinks. This indicates that the function behaves in a diminishing manner.5.Symmetry:
It is clear to see the graph of f(x) has no symmetry.6.Boundedness:
When we choose negative values, the graph of f(x) expands upward exponentially, showing that it is unbounded above.7.Extrema:
There are no extreme points for the function.8.Asymptotes:
This curve does not have any vertical asymptotes, despite the way it seems. Simply put, the curve's negative-x region is expanding so swiftly that it resembles an asymptote. For any x < 0, there is a value for f(x). However, a horizontal asymptote exists , y = 0.9.End behaviour :
As \(\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty\) As,\(\:x\to \:-\infty \:,\:f\left(x\right)\to \:0\)Refer image for graph.To learn more about Asymptotes , refer:
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