Answer:
The relationship between r and V is not linear.
Step-by-step explanation:
The volume increases exponentially as r increases linearly.
Volume of a cylinder is directly proportional to the square of its radius, we can say that there is a linear relationship between the radius and the volume of a cylinder.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Volume of a cylinder is V = πr²h,
where r is the radius
h is the height of the cylinder.
If we keep the height of the cylinder constant and vary the radius, we can see that the volume of the cylinder increases as the radius increases.
In fact, we can express this relationship as a linear equation in the form of y = mx + b,
where y is the volume, x is the radius, m is the slope, and b is the y-intercept.
By rearranging the volume formula, we get V = πr²h, which can be written as y = mx + b, where m = πh and b = 0.
Therefore, since the volume of a cylinder is directly proportional to the square of its radius, we can say that there is a linear relationship between the radius and the volume of a cylinder.
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Can someone please help me with this questions The points H,I,J and K all lie on the same line segment, in that order, such that the ratio of HI:IJ:JK is equal to 2:2:3. If HK=49, find IJ.
Answer:
IJ = 14Step-by-step explanation:
If the point HIJK all lies on the same line, then HI + IJ + JK = HK
2 + 2 + 3 = HK
HK = 7
Since the total length is HK
IJ = ratio of IJ/Total ratio * HK
IJ = 2/7 * 49
IJ = 2 * 7
IJ = 14
Hence the length of IJ is 14
Tabitha's truck gets between 21 and 24 miles
Per gallon. The truck's fuel tank holds 20 gallons
of
gas.
What farthest reasonable distance that
Tabitha can expect to drive on a full tank of gas?
A) 350 miles
B) 400 miles
C) 450 miles
D) 500 miles
Danielle's pool table is 5 feet wide and 8 feet long. Danielle wants to replace the felt on
the pool table. The felt costs $2.20 per square foot. How much would it cost in total to
replace the felt on the pool table?
Answer:
$88
Step-by-step explanation:
cost to replace the felt = Area of a rectangle x felt cost per square foot
Area = length x width
5 x 8 = 40
cost of replacement = 40 x 2.2 = 88
A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and an opening 6 cm wide. If all the ice melted in the cup, would it overow?
If the ice melt in the cone shaped cup, it won't overow because the volume of the cone shaped cup is greater than the volume of the snowcone ice.
The snowcone is a sphere.
Volume of a spherevolume = 4 / 3πr³
where
r = radiusTherefore,
volume of the snowcone = 4 / 3 × π × 4³
volume of the snowcone = 256 π/ 3 = 85.33π
Therefore, the volume of the cone canbe found as follows:
volume of the cone shaped paper = 1 / 3 πr²h
h = 12 cm
r = 6cm
volume of the cone shaped paper = 1 / 3 × π × 6² × 12
volume of the cone shaped paper = 144π
Therefore, let find if the ice melt in the cone whether it will overow.
144π - 85.33π = 58.67π
Therefore, the volume of the cone shaped paper is greater than the volume of the snowcone ice . This means that if the ice melt in the cup , it won't overow.
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A number is 11 less than 3 times another number. The sum of the numbers
is 25. What are the two numbers?
Can you please send the work too
Step-by-step explanation:
this is simple use it and enjoy
Step-by-step explanation:
Let x be the first number
Let y be the 2nd number
given,
[tex]x = 3y - 11 \\ x - 3y = - 11[/tex]
as equation 1
and
[tex]x + y = 25[/tex]
as equation 2.
Now we will use elimination method to solve for simultaneous equations.
We will use equation 1 - equation 2 to eliminate x to solve for y.
[tex]x - x - 3y - y = - 11 - 25 \\ - 4y = - 36 \\ y = - 36 \div - 4 \\ = 9[/tex]
Substitute y into equation 2.
[tex]x + 9 = 25 \\ x = 25 - 9 \\ = 16[/tex]
The numbers are 9 and 16.
find the area of the circle. radius of the circles is 8 cm
Answer:
Step-by-step explanation:
r = 8 cm
Area of circle = πr²
= 3.14 * 8 * 8
= 200.96 cm²
Answer:
201.06
Step-by-step explanation:
π•8²
8
What number should go in the box? 22572=20000+2000+500+0+2
Answer:
Step-by-step explanation:
70 is missing , but so is a box ????
You have a bag that contains 7 red marbles and 5 blue marbles. You randomly choose one of the marbles. Without replacing the first marble, you choose a second marble. Find the probability of these dependent events. Simplify as needed. Choosing a red marble and then a blue marble
Answer:
Step-by-step explanation:
12 marbles in total. The possibility of pulling out a red marble is going to be 7/12. Since you would then take the marble out, you'll have 11 marbles left. After that, it'll be 5/11.
PLZ HELP ME QUESTIONS 2 AND 3 DUE BY 10 AM I WILL GIVE BRAINLIEST
alegbra 2 pls help ill give brainliest
Answer:
it's 1/a3b2 it's C basically
Step-by-step explanation:
I don't know what's equivalent to it but ik the answer
Based on the given information, which of these are true? Choose ALL that are correct
If A = {2,4,6,8,10} and B = {4,8,10,12,14), find AUB.
{2,6,12,14} ○○○○○○○○○
PLEASE HELP
Answer:
(a+b)^2+(a-b)^2=2(a^2+b^2)
expanding:
a² + 2ab + b² + a² -2ab + b² = 2a² + 2b²
2a² + 2b² = 2a² + 2b²
Answer:
with what?
Step-by-step explanation:
An isosceles triangle has base angles that each measure 39 °. Which equation can be used to fi nd t, the measure of the third angle of this isosceles triangle in degrees?
Answer: 102°
Step-by-step explanation:
First and foremost, we should note that an isosceles triangle has two sides that are equal and that the sum of angles in a triangle equals to 180°.
Since we are told that the isosceles triangle has base angles that each measure 39°, the third angle will be:
t + 39° + 39° = 180°
t + 78° = 180°
t = 180° - 78°
t = 102°
The third angle is 102°.
If the original price of an item is $70 and it is marked down 20%, what is the NEW PRICE?
Answer:
$56
Step-by-step explanation:
1.) Find the value of 20% of $70 (which is $14.).
2.) subtract $14 from $70.
Select all of the true statements. A. 3 gallons = 18 pints B. 5 quarts = 20 cups C. 6 gallons = 30 quarts D. 2 pints = 32 fluid ounces E. 8 pints = 24 cups
Answer:
b
d
Step-by-step explanation:
1 gallon = 8 pint
3 x 8 = 24 pints
the first option is wrong
1 quart = 4 cups
5 x 4 = 20 cups
the second option is correct
1 gallon = 4 quarts
6 x 4 = 24
the third option is wrong
1 pint = 16 ounces
2 x 16 = 32 ounces
the fourth option is correct
1 pint = 2 cups
8 x 2 = 16 cups
the fifth option is wrong
A restaurant used 5 pounds of ground beef to make one dozen hamburger. At this rate,how many pounds of ground are needed to make 144 hamburger?
Help what is the answer ?? What is the is the translation coordinate
Answer: (x - 3, y - 6) or S(-5 -3, 6 -6)
First we have to figure out how many spaces left to right (x-axis) and how many spaces up and down (y-axis) will get us to S'
x-axis: -5 - 3 = -8
y-axis: 6 - 6 = 0
Now we just add this to the original coordinate to give us the translation coordinate:
S(-5, 6) → S(-5 -3, 6 -6)
Harmony left her dad’s store to go home at twenty to seven in the evening. Forty minutes later, she was home. What time was it when she arrived home?
Answer:
8:00 in the morning .....
Answer:
7:20 pm
Step-by-step explanation:
the phrase "twenty to seven in the evening" implies that is twenty minutes before 7:00 pm, meaning the current time was 6:40 pm.
Adding the 40 minutes it took Harmony to get home, the time would have been 7:20 pm
Help please no links
Please answer correctly! I will Mark you as Brainleist!
your answer should be 9.8
Answer:
9.8cm³
Step-by-step explanation:
71.54cm³÷7.3cm³=9.8cm³
hope this helps
plz can i get brainliest:)
what connections can you make between polynomial equations and roots of a graph
Answer:
Factors of a polynomial, when set equal to zero and solved, become the zeros of a polynomial.
The zeros of a polynomial are the numbers where the y-values are 0 which means the point will lie on the x-axis.
Zeros and solutions are the same things. It is where the graph will cross the x-axis which means the y-value is zero.
Step-by-step explanation:
hope this helps :)
3/10 divied by 2/7 pls help
Answer:
21/20
Step-by-step explanation:
Answer:
1.05 or 21/20 or 105% or
Step-by-step explanation:
y = x+1
3x + y = -7
Plot two lines by clicking the graph.
Click a line to delete it.
10
Solution:
Submit Answer
What is the solution to the equation x + 8 = 12? *
X=4
X=16
X= 20
X= -4
Answer: x=4
Step-by-step explanation:
x+8=12
x+8-8=12-8=4
x=4
what is the slope of [-4, -2, ] [ -3, -4 ]
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Guided Practice
Write an equation of the direct variation that includes the point (–8, 10).
A.
y= −4/5x
B.
y= 5/4x
C.
y= −5/4x
Answer:
C.
y= −5/4x
Step-by-step explanation:
Write an equation of the direct variation that includes the given point. (-8, 10)
1
first divide y by x to find the constant
2
Then write the equation using that constant. The constant can be written as a fraction or a decimal.
RESULT
Complete the table to describe the model.
The model will have a verbal description, a division expression, and a fraction.
What is the value of x in a 45-45-90 triangle and the hypotenuse is 4?
9514 1404 393
Answer:
x = 2√2 ≈ 2.83
Step-by-step explanation:
The side length of an isosceles right triangle is 1/√2 times the hypotenuse length. If x is the side length, then ...
x = 4/√2 = 4(√2)/2
x = 2√2 ≈ 2.83
__
You have not specified the form of the answer. Sometimes an exact answer (2√2) is required. Sometimes the answer is required to be rounded to tenths or hundredths.
HELPPPPP pleaseeeeeee due in 20 minutes please hurryyy
Answer:
The answer is 70
Step-by-step explanation: