The volume of the cone with radius 3 and height of the cone 6 is 56.52.
Any shape's volume in geometry is the area it takes up in a three-dimensional space. As a result, the space occupied by a cone in three dimensions is known as its volume.
The formula for the radius of a cone is given as:
r = √( 3 × V / π × h)
Where h is the height of the cone, V is the volume of the cone.
Now, squaring the above equation.
(r)² = [ √( 3 × V / π × h) ]²
r² = [ √ (3 × V) / √ ( π × h ) ]²
3V = π × r² × h
V = π × r² × h / 3
We have,
r = 3, h = 6, and π = 3.14
V = ( 3.14 × (3)² × 6 / 3 )
V = 3.14 × 3 × 6
V = 56.52
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When an integer is subtracted from 8 times the next consecutive integer, the
difference is 43. Find the value of the lesser integer.
The value of the lesser integer is 5
How to determine the valueFrom the information given, we have the following deductions;
Let the lesser integer be xLet the larger integer be x + 1The expression can be represented as;
8(x + 1) - x = 43
expand the bracket, we have;
8x + 8 - x = 43
collect like terms
8x - x = 43 - 8
Subtract like terms
7x = 35
Make 'x the subject of formula
Divide both sides by 7
7x /7 = 35/7
x = 5
The lesser integer is x = 5
Thus, the value of the lesser integer is 5
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ILL GIVE BRAINLY TO THE BEST ANSWER
the 1560 members of the temecula community church have a method of quickly notifying members. the pastor and his secretary each call 3 members each of whom then call 3 other members, each of whom then calls 3 more members, and so on. how many rounds of calls are needed before all 1560 members are called
Answer:
here's the answer
Step-by-step explanation:
the total calls are 39 call
the remaining calls are 1530
the remaining rounds are 481
481+39=520
520x3= 1560
Try It!
Evaluate.
a. √27
Answer:
The root of 27 would be 5.196
Step-by-step explanation:
John and Joan shared an amount of money in a ratio 5:7. Joan had $45 more than John - find the amount each received
John received $112.5 and Joan received $157.5 respectively as per the given ratio.
John and Joan share the amount in the ratio: 5:7
it is given that Joan had $45 more amount than John, therefore
Let the amount with John be x, so the amount with Joan will be x + 45
Formulating the equation we get:
Amount with John/Amount with Joan = Ratio of money with John/Ratio of money with Joan
x/(x + 45) = 5/7
7x = 5x + 225
2x = 225
x = 112.5
Amount with John = 112.5
Amount with Joan = 157.5
So, amount John received $112.5 and Joan received $157.5 respectively.
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PLEASE I NEED YOUR HELP !
Answer:
6 units
Step-by-step explanation:
To find out how far apart two points are on a graph, we must count the spaces that separate them along the x and y axis
Counting on the x-axis, Point A is 2 units to the left of Point B
On the y-axis, Point A is 4 units below Point B.
Add the two to get the total units
who discovered zero?
Answer:
"Zero and its operation are first defined by [Hindu astronomer and mathematician] Brahmagupta in 628," said Gobets. He developed a symbol for zero: a dot underneath numbers.
The students at Emir's school voted for a new school color. 738 students voted for orange and the other 82 students voted for yellow. What percentage of the students voted for yellow?
We can conclude that 10 percentage of the students voted for yellow.
What do we mean by percentage?A percentage is a number or ratio expressed as a fraction of 100 in mathematics. The percent sign, "%," is commonly used, but the abbreviations "pct.", "pct," and sometimes "pc" is also used. A percentage is a number with no dimensions; it has no unit of measurement.Total number of students = 738 + 82 = 820
As we can notice that total number is 820 and the number of students that voted for yellow is 82.
So, 82/820 = 10%
Therefore, we can conclude that 10 percentage of students voted for yellow.
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what is a example for a proportion
Answer: the time taken by train to cover 50km per hour is equal to the time taken by it to cover the distance of 250km for 5 hours
Step-by-step explanation:
You divide then together
Find the distance between the following pair of points.
A(-3,1), B(7,13)
Answer:
15.6 units (3 s.f.)
Step-by-step explanation:
The distance between 2 points is given by the formula below, where [tex](x_1, y_1)[/tex] is the first coordinate and [tex](x_2, y_2)[/tex] is the second coordinate.
[tex]\boxed{{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}[/tex]
Using the distance formula above,
distance between A(-3, 1) and B(7, 13)
= [tex]\sqrt{(13-1)^{2} + [7-(-3)]^{2} } }}[/tex]
= [tex]\sqrt{12^2+(7+3)^2}[/tex]
= [tex]\sqrt{244}[/tex]
= 15.6 units (3 s.f.)
Additional:
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Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation to represent this situation. (4 points)
Part B: Scarlett made a profit of $250. 00 with her mobile car wash company. She charged $75. 00 per car wash and received $35. 00 in tips, but also had to pay $5. 00 in cleaning supplies per car wash. Write an equation to represent this situation. (4 points)
Part C: Explain how the equations from Part A and Part B differ. (2 points)
The equation for Rhett's Situation is 70x + 50 = 250 and the equation for Scarlett's Situation is 70x + 35 = 250. In Rhett's case equation their is no expense per car wash but in case of Scarlett' equation their is expense of $5 per car wash.
Total amount earned by Rhett = $250
Let the number of cars Rhett washed = x
Rhett charges $70 per car and earned $50 in tips. So, we can write
Total amount earned by Rhett = 70x + 50
On comparing total amount earned by Rhett, we get
70x + 50 = 250
The equation for Rhett's Situation is 70x + 50 = 250.
Total amount earned by Scarlett = $250
Let the number of cars Scarlett washed = x
Scarlett charges $75 per car wash and earned $35 in tips but also had to pay $5. 00 in cleaning supplies per car wash.. So, we can write
Total amount earned by Scarlett = 75x + 35 - 5x = 70x +35
On comparing total amount earned by Scarlett, we get
70x + 35 = 250
The equation for Scarlett's Situation is 70x + 35 = 250.
In Rhett's case equation their is no expense per car wash but in case of Scarlett' equation their is expense of $5 per car wash.
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To make pizza sauce for 2 pizzas, you need 2 cans of tomato sauce for every 1 can of tomato paste. If you have 6 cans of tomoto sauce, how many cans of tomatoe paste do you need and how many pizzas can you make?
Answer:
3 cans of tomato paste and 6 should be correct
simplfy 4x2 - 3 x + 11 - 2x
Answer:
4x^2−5x+11
Step-by-step explanation:
combine like terms
Find the coordinate of the midpoint of the segment with the given endpoints.
-6 and -4
The coordinate of the midpoint of the segment with the given endpoints is (-1, 0)
Midpoint of a lineThe midpoint of a line is the point that divides the line into two equal parts.
The formula for calculating the midpoint is expressed as;
M(x, y) = (x₁+x₂/2, y₁+y₂/2)
Using the coordinate points (-6, 0) and (-4, 0)
M(x, y) = -6+(-4)/2
M(x, y) = -2/2
M(x, y) =-1
Hence the coordinate of the midpoint of the segment with the given endpoints is (-1, 0)
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plot the image of point Q under the translation (x,y) —— (x-3,y+4)
Considering point Q (x, y) to be (1, 2), and translating it by (x-3, y+4), the image of point Q, say Q' will be positioned at (-2, 6), which is plotted in the reference image attached hereby.
As per the question statement, we are required to plot the image of point Q(x, y) under the translation (x-3, y+4).
Let us assume the point Q to be (1, 2). Therefore, a translation of (x-3, y+4) on (1 , 2) will result in a new position, which will be:
3 units to the left of (1, 2) along the x-axis, and then 4 units upwards along y-axis.
Hence, the position of the image of Q (1, 2) after a translation of (x-3, y+4) will be Q' [tex][(1-3), (2+4)]=(-2, 6)[/tex].
Both the points Q(1, 2) and its image after the translation of (x-3, y+4), Q'(-2, 6) are plotted in two separate graphs, attached hereby for reference.
Translation of a Point: In cartesian coordinate system, translation of a point by (x, y) means the point is moved by "x" units along the x-axis, and then by "y" units along the y-axis.To learn more about Translation of a Point, click on the link below.
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Practice
1 Use the figures shown to complete parts a th
a Describe the sequence of translations used to move Figure 1 onto Figure 2
b. Determine the coordinates of the image of Figure 1 if it is translated 1 unit horizontally
and 8 units vertically
c Explain how you determined the coordinates part (b)
a Verify your answer to part (b) by graphing the image Label it Figure 3
2 Use a coordinate plane to complete parts (a) through (d)
a Plot the given points and connect them with straight lines in the order in which they are given.
Connect the last point to the first paint to complete the figure Label the figure A
(-3-6) (-3-3), (0, 0), (3-3) (3, -61, (0-3)
b Translate the figure in part (a)-3 units vertically Lebel the image B
e Translate the figure in part (a) 6 units vertically and 3 units horizontally Label the image C
d. Translate the figure in part (a)-3 units horizontally and 6 units vertically Labei the image D
Answer:
connect the last point to the first point to complete the question
translate the figure in part
translate the figure in part 3 units horizontal y and 6 units vertically
Step-by-step explanation:
Answer:
Step-by-step explanation:
Evaluate if A = 2, B = 7, and C = 6. 7a + b over C (over means a fraction line, imagine 7a + b over C as a fraction)
Answer: 3.5
Step-by-step explanation:
A = 2, B = 7, C = 6
(7a + b)/c
=(7(2)+7)/(6)
=(14+7)/6
=21/6
=3.5
For a given recipe, 8 cups of flour are mixed with 12 cups of sugar. How many cups of flour should be used if 27 cups of sugar are used? Assuming a constant ratio, fill out the table of equivalent ratios until you have found the value of x.
Answer:
x=18
Step-by-step explanation:
it is a proportion
8:12=x:27
you have to multiply the know external terms(8 and 27) and divide them by the 12
what is the anwser i really an not figure out what it is and it due tomorrow
Answer:
M is (-5,6)
N is (1,0)
P is (-4,2)
Step-by-step explanation:
We have to move all our coordinates in the same position and distance so we add and subtract the x and y values
M (-6,1) we add 1 to the x value and add 5 to the y value
M (-6+1,1+5)
So M prime is (-5,6 and we do that for the rest
Answer:
Here, I might have messed up one part , I think ;-;
Step-by-step explanation:
Fourteen decreased by twice a number equals -32.
keiko's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs keiko $5.35 per pound, and type b coffee costs $4.05 per pound. this month, keiko made 166 pounds of the blend, for a total cost of . how many pounds of type b coffee did she use?
Keiko used 83.5 pounds of type A coffee and 82.5 pounds of type B coffee in the blend.
What exactly are algebraic expressions?
An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression
Given:
Type A coffee cost $5.35 per pound
Type B Coffee cost $4.05 per pound
Keiko made total 166 pound of the blend of $780.85
Therefore,
[tex]5.35x + 4.05y = 780.85 \;\;\;\;\; -------equation (1)[/tex]
[tex]x + y = 166 \;\;\;\; ---------equation (2)[/tex]
simplify the equation (2),
[tex]y = 166-x[/tex]
Substitute the value of y in equation (1),
[tex]5.35x + 4.05 (166-x) = 780.85[/tex]
[tex]5.35x + 672.3 - 4.05x = 780.85[/tex]
[tex]5.35x-4.05x=780.85-672.3[/tex]
[tex]1.3x=108.55[/tex]
Therefore,
[tex]Total\;pound\;of\;type\;A\;coffee\;is,\;x=83.5\;pounds[/tex]
Substitute the value of x in equation (2),
[tex]y=166-83.5[/tex]
Therefore,
[tex]Total\;pound\;of\;type\;B\;coffee\;is,\;y=82.5\;pounds[/tex]
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Write the equation of the line in fully simplified slope-intercept form.
12
11
Ag 987 OS 32 -
10
-12-11-10-9-8-7-6-5-4-3-2-1 1 2 3 4 5 6 7 8 9 10 11 12
-2
-3
-4
11
12
Answer:
y=3x-8
Step-by-step explanation:
Slope -intercept form is y=mx+b.
M represents the slope; b represents the y-intercept.
First, let's find the y-intercept.
It'll be found on the y-axis on the graph.
If you go down the y-axis, you'll see that -8 is the only point to be directly on the y-axis, so we can assume that that's the y-intercept.
Thus, the B in the equation is -8.
Now, let's find the slope.
You can think of it as rise over run. The rise is how many numbers the y-intercept either goes up or down until it can cross over to the x-axis. Crossing sideways is the run that's located on the x-axis.
You can begin from -8 and either count downward or upward.
For the sake of this graph, we'll go upward.
Do you see the dot on the coordinate (1,-5)?
Count upward and go to the side to get to that coordinate.
I count three upward and one to the right.
So as a fraction that would be 3 over 1 or 3/1.
But you can simplify that to just 3.
Thus, the M in the equation is 3.
Hence, y=3x-8.
Hope this helps.
The average temperature in the mountains is 62° in April. The average temperature in that same spot is −4° in December. Determine how much warmer this location is in April than in December, and determine which temperature is the farthest away from 0°.
Answer:
62-4=58
April is 58 much warmer than December and 62 is the farthest from 0
Answer:
I Can only tell you the temperature part, sorry...
Step-by-step explanation:
Basically 62 is actually farther away, and essay writers stink
I'm a bumblebee who likes to eat KFC - Ash the Fox
0.12 as a reduced fraction
Answer:
3/25
Step-by-step explanation:
0.12 multiplied by 100 equals 12
which means 12/100 is 0.12
now simplify
6/50
3/25
What is an exponent?
Answer:
An exponent is a power to a given number that will multiply the given number by itself the number of times the exponent's value represents. Exponents are represented by small, floating numbers that go after the given value in an equation.
Example A:
[tex]5^2 = 5 \times 5 = 25[/tex]
Example B:
[tex]x^4 + 8 = y[/tex]
John Picks Up 2 Apples And Removed 1, And He Picked Up 10 Apples And Gave Away a Half Of Apples To Anyone! John Finally Picks Up 3 Apples And 6 Oranges, How Many Did John Have?
Write Down Your Answers Below!
Subjects : Mathematics, Life, John's Fruit Blast!
Answer:
14 1/2 fruits
Step-by-step explanation:
He set of real numbers can be broken up into two disjoint subsets. what are the two subsets?
In the following ways we can break up the real numbers into the two disjoint subsets.
The set of real numbers equal to zero and the set of other real numbers.The set of natural numbers greater than 50 and the others. The set of real numbers whose absolute value is less than one, and the others. The set of real numbers whose square is less than 25 and others.According to the given question.
We have to break the set of real numbers into two disjoint sets.
As we know that, two sets are said to be disjoint sets if they have no elements in common.
Therefore, in the following ways we can break up the real numbers into the two disjoint subsets.
The set of real numbers equal to zero and the set of other real numbers.
The set of natural numbers greater than 50 and the others. The set of real numbers whose absolute value is less than one, and the others. The set of real numbers whose square is less than 25 and others.
Like that we can break the set of real numbers into two disjoint subsets.
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Previous
5
Question
Find −115+(−35). Write your answer as a fraction in simplest form.
Answer:-150
Step-by-step explanation:
Step 1: Solve all the integers.
−115-35
Step 2: Add the numbers and keep the negative sign.
-150
Hope this helps!!
P.S: It as a fraction is the same thing as it being in decimal from lol.
Help please!!!!!!!!!
Answer:
(a) 3.5
(b) x = 4
(c) -¹/₂
(d) -¹/₂
Step-by-step explanation:
Part (a)f(1) is the value of y when x = 1.
To find the value of y from a given value of x, find the position of x on the x-axis, then trace vertically until you meet the line. Once you meet the line, trace horizontally to the y-axis to find the corresponding value of y.
Therefore, f(1) = 3.5.
Part (b)To solve f(x) = 2, find the value of x when y = 2.
To find the value of x from a given value of y, find the position of y on the y-axis, then trace horizontally until you meet the line. Once you meet the line, trace vertically to the x-axis to find the corresponding value of x.
Therefore, the solution of f(x) = 2 is x = 4.
Part (c)The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Given interval: 2 ≤ x ≤ 4
Therefore:
a = 2b = 4[tex]\implies \dfrac{f(4)-f(2)}{4-2}=\dfrac{2-3}{4-2}=-\dfrac{1}{2}[/tex]
Part (d)The average rate of change between any interval of the given function will be the same as the graph is linear. Therefore, the average rate of change from 0 to 8 is the same as the rate found in part (c): -¹/₂.
Proof
The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Given interval: 0 ≤ x ≤ 8
Therefore:
a = 0b = 8[tex]\implies \dfrac{f(8)-f(0)}{8-0}=\dfrac{0-4}{8-0}=-\dfrac{4}{8}=-\dfrac{1}{2}[/tex]
D(-4,1),A(-2,5,s(-1,4)N(-1,2
All of the coordinates in the attached screenshot are in the second quadrant.
The enrollment of a community college last
year was 4500 students. It increased by 5%
this year. What is the enrollment this year at
the community college?
Answer:
4725 Students
Step-by-step explanation:
First, multiply 4500 by 0.05 (which is 5% in decimal format.) You should get 225. Next, add 225 to the original value of 4500; you should get the answer, which is 4725 :)
Answer:
4725 Students
Step-by-step explanation:
To find the total enrollment of the community college this year, all we have to do is add the previous year's enrollment to 5% of the same value.
So...
Previous enrollment: 4500
5% of Previous enrollment = 0.05 * 4500 = 225
This year's enrollment = 4500 + 225 = 4725
So the final answer is 4725 students.