Therefore , the solution of the given problem of volume comes out to be
you would then possess 1/9 of the volume.
What is volume used for?The term "volume" refers to how much general space an object occupies. Unlike mass, volume changes depending on the surroundings. The mass of a substance in a given volume is referred to as its "density." It describes the relationship between mass and volume.
Here,
A cylinder has a volume of V = r2h.
As a result, V = r2[(1/3)]h is obtained by multiplying h by 1/3.
The (1/3) can be moved to the front to obtain V = [(1/3)]r2h because you are free to multiplied in any ratio you choose.
Thus, you would receive one-third of the initial mass.
What would occur if you increased the radius by 1/3 in contrast to this?
Next, you would have
=> V = π[(1/3)r]2h
=> V = π(1/9)r2h
=> V = (1/9)πr2h
You would then possess 1/9 of the volume.
Therefore , the solution of the given problem of volume comes out to be
you would then possess 1/9 of the volume.
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Please I need help also please explain your answer and show the work
1. The degree form of 4π/9 is approximately 228.6°.
2. A positive coterminal angle to -123° that is between 500° and 750° is 677°. A negative coterminal angle to -123° that is between -300° and -500° is -243°.
3. The terminal side of 215° lies in the second quadrant.
4. The radius of the circle is approximately 15.7.
1. The degree form of 4π/9 is approximately 228.6°. To express an angle in degrees, we multiply its radian measure by 180°/π.
2. A positive coterminal angle to -123° that is between 500° and 750° is 677°. A negative coterminal angle to -123° that is between -300° and -500° is -243°. To find a coterminal angle, we can add or subtract 360° as many times as necessary to bring the angle into the desired range.
3.
In the standard position, an angle is measured counterclockwise from the positive x-axis. The positive x-axis corresponds to the 0° angle, the positive y-axis corresponds to the 90° angle, the negative x-axis corresponds to the 180° angle, and the negative y-axis corresponds to the 270° angle. Angles in the first quadrant are between 0° and 90°, angles in the second quadrant are between 90° and 180°, angles in the third quadrant are between 180° and 270°, and angles in the fourth quadrant are between 270° and 360°.
So, the terminal side of 215° lies in the second quadrant.
4.
We can set up the equation l = Cθ/2π and solve for r.
Substituting the given values, we have 56π = (2πr)(120°/180°), which simplifies to r = 56π/(2π) = 28.
Dividing this value by 2, we get the radius of the circle as approximately 15.7.
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The perimeter of a rectangle is 96cm its shortest side has a length of 5cm state the length of the longest side
Answer:
43cm
Step-by-step explanation:
96-10 (5 x2 sides)=86
86/2 sides=43 longest side
The length of the longest side is 43 cm.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Perimeter of a rectangle = 2 (length + width)
Perimeter = 96 cm
Width = 5 cm
Length = x
Now,
96 = 2 (x + 5)
48 = x + 5
x = 48 - 5
x = 43
Thus,
The longest side is 43 cm.
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The functions each model the number of students S is that played an online video game d days after each video game was released. S^1(d)= 0.45d^3-3d^2 + 4.75d +16
S^2(d)=0.09d^3-1.31d^2 +7.25d +18
Use a graphing calculator to determine the number of days after the games release that were played by the same number of students.
0.36d³ - 4.31d² - 2.5d - 2 = 0 is the function and the graph of the function is given below -
What is function?function is a mathematical phrase, rule, or law that establishes the connection between an independent variable and a dependent variable (the dependent variable).
y = x² is an illustration of this. Any input for x yields a single output for y. Because x represents the input value, one can state that y is a function of x.
To determine the number of days after the game's release that was played by the same number of students for the two functions S^1(d) and S^2(d).
Here, the functions each model the number of students S.
played an online video game d days.
We need to set the two functions equal to each other and solve for d.
S^1(d) = S^2(d)
or, 0.45d³ - 3d² + 4.75d + 16 = 0.09d³ - 1.31d² + 7.25d + 18
Subtracting 0.09d³ - 1.31d² + 7.25d + 18 from both sides we get:
or, 0.36d³ - 4.31d² - 2.5d - 2 = 0
So, the graph becomes:
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Below is a diagram of a candy bar that is being shared between two people. Cut the candy bar into two pieces, A and B, so that A gets 3/5 times as much as B. What fraction of the bar does B get?
Answer:
B gets 5/13 of the candy bar.
Step-by-step explanation:
Given that a candy bar is being shared between two people, A and B, and A gets 3/5 times as much as B, to determine what fraction of the bar does B get the following calculation must be performed:
3/5 = 0.6
1.6 + 1 = 100
1 = X
2.6 = 100
1 = X
100 / 2.6 = X
38.46 = X
38.46% = 0.3846 = 5/13
Therefore, B gets 5/13 of the candy bar.
The value of an investment property after t years can be found using the formula V =C (1 + r)^2, where V is the current
value of the property, C is the original investment,
and r is the annual rate of appreciation.
a. Solve the formula for r.
b. Lew bought a condo 20 years ago for $50,000, and the current value of the condo is $175,000. Assuming the same
rate each year, what has the annual rate of appreciation been? Round your answer to the nearest half a percent.
Answer:
0.871
Step-by-step explanation:
a. Solve the formula for r.
V = C (1 + r)²
dividing both sides by C, we have
V/C = (1 + r)²
(1 + r)² = V/C
taking square root of both sides, we have
√(1 + r)² = √(V/C)
1 + r = √(V/C)
r = √(V/C) - 1
b. Lew bought a condo 20 years ago for $50,000, and the current value of the condo is $175,000. Assuming the same
rate each year, what has the annual rate of appreciation been? Round your answer to the nearest half a percent.
Since r = √(V/C) - 1 and V = $ 175,000 and C = $ 50,000
Substituting the values of the variables into the equation for r, we have
r = √($ 175,000/$ 50,000) - 1
r = √3.5 - 1
r = 1.871 - 1
r = 0.8708
r ≅ 0.871
Using squares 1, 2, and 3, and eight copies of the original triangle, you can create squares 4 and 5. Keep the square 4 and square 5 window open. You will need them to complete the rest of the tasks in this section. What are the side lengths of square 4 and square 5 in terms of a and b? Do the two squares have the same area?
Using squares 1, 2, and 3, and eight copies of the original triangle, you can create squares 4 and
Answer:
Step-by-step explanation:
The 4 sides of a square are usually the same ;
Hence, each side is called the side length ; from the diagram attached :
Side length of square 4 = a + b
Side length of square 5 = a + b
If the side lengths are equal ; that is (a + b) ; the the area which is the square of the side length will also be the same.
Median of 61, 53, 63, 63
"describe the domain and range for f(x)=3^x-1"
Answer:
Domain: All real numbers
Range: All real numbers greater than or equal to -1
Neil put on a blindfold and picked 72 jelly beans from a jar.
Is this sample of the jelly beans in the jar likely to be representative?
Yes or no?
The table shows input and output values for three functions.
Use the drop-down menus to complete each statement.
x-intercepts exist in the function(s)
.
y-intercepts exist in the function(s)
.
The function
has the lowest minimum.
The function
has the greatest maximum.
Answer:
x-intercepts exist in the 3 functions
y-intercepts exist in the 3 functions
The function h(x) has the lowest minimum.
The function f(x) has the greatest maximum.
Step-by-step explanation:
Given
The attached table
Solving (a): x-intercepts
A function has x intercept if its y value equals 0.
From the table, we have:
[tex]f(2)=0[/tex]
[tex]g(4) = 0[/tex]
[tex]h(2) = 0[/tex]
All functions have x intercept
Solving (b): y-intercepts
A function has y intercept if its x value equals 0.
From the table, we have:
[tex]x = 0[/tex]
This applies to all functions in the table;
Hence, all functions have y intercept
Solving (c): Lowest minimum
The minimum of each function is:
[tex]f(x) = -12[/tex]
[tex]g(x) = -4[/tex]
[tex]h(x) = -60[/tex]
The lowest minimum is: h(x) because:
[tex]h(x) <f(x) < g(x)[/tex]
i.e.
[tex]-60 < -12 < -4[/tex]
Solving (d): Greatest maximum
The maximum of each function is:
[tex]f(x) = 12[/tex]
[tex]g(x) = 2[/tex]
[tex]h(x) = 0[/tex]
The greatest maximum is: f(x) because:
[tex]f(x) > g(x) > h(x)[/tex]
i.e.
[tex]12 > 2 > 0[/tex]
Answer:
1. f(x) g(x) h(x)
2. f(x) g(x) h(x)
3. h(x)
4. f(x)
Step-by-step explanation:
I guessed and it was correct.
3 times a number minus 4, all multiplied by 18 equals 48 times the number. Find the number
Answer:
The number is 12.
Step-by-step explanation:
Suppose the number is x. So,
18(3x-4)=48x
54x-72=48x
54x-48x=72
6x=72
x=12
Does:
the difference between a number and five
Translate to
n - 5
or
5 - n
PLEASE HELP!
Answer:
n - 5
Step-by-step explanation:
have a good day :)
Answer:
n-5
Step-by-step explanation:
first stated should be at first, and second stated will be at second.
plz mark as brainliest
75 POINTS!!! PLEASE ANSWERl
The average size of a pair of women's shoes sold at a shoe store is size 8, with a standard deviation of 1.5
sizes. If the sizes are normally distributed, what is the percentile rank of at least a size 9. Go to z-table.com
Answer:
75%Step-by-step explanation:
Find z-score:
z = (9 - 8)/1.5 ≈ 0.67Get the rank from the z-table:
0.7486 ≈ 75%Solve for x.
*4x-8)
3x + 3
A X= [?]
Answer:
11
Step-by-step explanation:
Angles 3x + 3 and 4x - 8 are adjacent angles.
Adjacent angles are equal.
4x - 8 = 3x + 3
4x - 3x = 3 + 8
x = 11
Pls help! Step by step
Answer:
x = 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
using the cosine ratio in the right triangle and the exact value
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{8}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 8[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
x = 4[tex]\sqrt{3}[/tex] ( exact value )
Step-by-step explanation:
SOHCAHTOA
CAH-
Cosine●= adj/hyp
cos30= y/8
0.8660=y/8
Cross multiply
0.8660×8=y
y=8×0.8660
y=6.928
what is twenty-three thousandths written in standard form
Answer: 0.023 is twenty-three thousandths written in standard form!
Answer: 0.023
Step-by-step explanation:
Jen listened to 10 songs. Each song was m minutes long. She listened
to 4 more minutes later. Write an expression to represent how many
minutes of music she listened to
Answer lol faith
Step-by-step explanation:
|x-5|=7 What is x? PLZ help I'll give Brainliest.
Answer:
x=12
Step-by-step explanation:
7+5=12
brainliest?
The college plans to use part of its land for a bicycle park.
The space for the bicycle park is rectangular 18 m by 4.8 m.
A rectangular space is needed for each bicycle.
0.6 m
Diagram not
accurately drawn
2 m
The builders think that 90 bicycles can fit in the bicycle park.
Are the builders correct?
Show a check of your working.
(4)
Answer:
No, only 72 bikes can fit
Step-by-step explanation:
18 x 4.8 is 86.4
2 x .6 is 1.2
86.4 divided by 1.2 is 72
there for only 72 bikes can fit
What is the range for the following numbers?
5,1,12,3,4,2,10
Answer: 11......................................................................................
3 upon 5 + 2 upon 7
Answer:
3
Step-by-step explanation:
3/7/7 which is 3/7 x 7 which is 21/7 which is 3
woule be amazing if you marked me brainliest
Answer:
[tex] \frac{3}{5} + \frac{2}{7} = \frac{31}{35} = 0.885[/tex]
Helppp asp !! A system of equations is shown x+y=7. 2x-y=-1. What is the solution to the system of equations
Combination of variables x+y=7. 2x-y=-1 has (5/2, 2) as its solution. For each value of the variables, an identity is true.
what is equations ?Its simplest form is thought to be the number's smallest equivalent fraction. How to determine the simplest form. Look for shared factors in the denominator and numerator. A fractional number can be checked to discover if it is a prime number. A statement having two quadrilateral and an equal sign in the middle is referred to as a mathematical equation. Every variable's degrees are listed in descending order in the general form of any equation. The formula for a linear equation is x + b = 0. The general form of a two-variable linear equation is an x + b y + c = 0. (or something similar). Either contingent equations or identities are categories for equations. An identity holds true for whatever value of the variables.
given
x+y=7
2x-y=-1
8x=20
x= 5/2
-4y = -8
y = 2
Combination of variables x+y=7. 2x-y=-1 has (5/2, 2) as its solution. For each value of the variables, an identity is true.
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Ella has the same number of acorns as frank. Ella has 9 in one hand and 10 in the other hand. How many acorns does frank have in the other hand?
The number of acorns that Frank have in the other hand will be 14.
How to calculate the word problem?A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real.life scenario given.
Since Ella has the same number of acorns as frank. Ella has 9 in one hand and 10 in the other hand.
When Frank has 5 on one hand, the number of acorns that Frank have in the other hand will be:
= 10 + 9 - 5
= 14
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Complete question
Ella has the same number of acorns as frank. Ella has 9 in one hand and 10 in the other hand. Frank has 5 on one hand. How many acorns does frank have in the other hand
Find the area of the cross section that is parallel to the bases.
Group of answer choices
1122
562
842
962
Use the defined variables for the verbal model to write an equation in slope-intercept form that relates the variables.
$2/pound × Pounds of peaches + $1.50/pound × pounds of apples = $15
Let x represent the number of pound of peaches.
Let y represent the number of pounds of apples.
An equation is y = ___
Graph the equation.
An equation is y = -4x/3 + 10.
A graph of the equation is shown in the image attached below.
How to write an equation to model this situation?In order to write and graphically solve an equation that model this situation, we would assign variables to the number of pound of peaches and number of pounds of apples respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of pound of peaches.Let the variable y represent the number of pounds of apples.Next, we would translate the word problem into an algebraic equation as follows;
$2/pound × Pounds of peaches = 2x.
$1.50/pound × pounds of apples = 1.50y
Combining the two expressions above, we have the following:
2x + 1.50y = 15
Making y the subject of formula, we have:
1.50y = 15 - 2x
y = (15 - 2x)/1.50
y = -4x/3 + 10
Therefore, an equation in slope-intercept form that relates the variables is y = -4x/3 + 10.
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Can someone answer this
Answer:
[tex] m = \boxed{1} \: \: c = \boxed{4}[/tex]
Step-by-step explanation:
[tex]y = x + 4 \\ equating \: it \: with \\ y = mx + c \\ m = \boxed{1} \: \: c = \boxed{4}[/tex]
which is the highest 4,16,77 and lowest
Answer:
highest 77 and lowest is 4
Write the missing number.
(a) 10 more than 23 is
[tex]F(x)=3x^{2} +4x-6G(x) =6x^{2} -5x^{2} -2[/tex]
Answer:
74
Step-by-step explanation:
Help me please help ASAP please I will mark brainliest
Answer:
124 units squared
Step-by-step explanation:
A(parallelogram) = 8 x 10 = 80
A(semicircle) = πr²/2
however, we need to use the Pythagorean Theorem to find 'r'
r² + 6² = 8²
r² = 84-36
r² = 28
r = [tex]\sqrt{28}[/tex] = [tex]\sqrt{4}[/tex]·[tex]\sqrt{7}[/tex] or 2[tex]\sqrt{7}[/tex]
A = π(2√7)² / 2
A = 4·7π / 2
A = 14π which is approx 44
Total Area = 44 + 80 = 124