Answers
Answer:
The volume at the highest point is 64 times greater
Step-by-step explanation:
Mathematically, the volume of a sphere is simply the same formula irrespective of the size
Now, we have the formula as;
V = 4/3 * pi * r^3
While the 4/3 pi is a constant term, the value of r changes
initially we have the value of r as d = 2
where r is the radius and d is the diameter
we have this as;
8/2 = 4 ft
r^3 of this is 4^3 = 64
For the second part, we have
r as 32/2 = 16 ft
now, the r^3 part here is 16^3 = 4096
So now, we have to divide the final by the initial
we have this as 4096/64 = 64
So the volume at the highest point is 64 times greater
Related Questions
Karen buys candy that cost $5 per pound. She will spend more than $35 on candy. What are the possible numbers of pounds she will buy?
Answers
I would like help on this math problem please!
Answers
Answer:
4^11
Step-by-step explanation:
[(4^3)(4^4)]÷(4^1+4^-4)
using laws of indices
(4^3)(4^4)=4^(3+4)
=4^7
(4^1 +4^-4)=4^(1-4)
=4^-3
4^7/4^-3,recalling about laws of indices if the exponentials are dividiy ,you subtract the powers give their base is equal
4^7/4^-3=4^(7-(-3)
=4^(7+3)
=4^11
Kira brought chocolate and vanilla cupcakes to school for her birthday. 80 students decided to take a cupcake, and 32 of them picked vanilla. What percentage of the students picked a vanilla cupcake?
Answers
Answer:
40%
Step-by-step explanation:
Percentage of students that picked a vanilla cupcake = (students that picked a vanilla cupcake / total number of students)x 100
(32 / 80) x 100 = 40%
Helpppp asapppp I’ll give you a lot of points
Answers
Answer:
[tex]x = \frac{5a-2} {7+5a}\\[/tex]
Step-by-step explanation:
Given the expressions
[tex]x = \frac{5}{9y+5}....1\\y = \frac{5}{5a-2} ...2[/tex]
Substitute 2 into 1
[tex]x = \frac{5}{9(\frac{5}{5a-2} )+5} \\x = \frac{5}{(\frac{45}{5a-2} )+5} \\x = \frac{5}{\frac{45+5(5a-2)}{5a-2} } \\x= \frac{5}{\frac{35+25a}{5a-2} }\\x = \frac{5(5a-2)} {35+25a}\\x = \frac{5(5a-2)} {5(7+5a})\\\\x = \frac{5a-2} {7+5a}\\[/tex]
Which graph represents the inequality
X > 15?
Answers
this one because x has to be bigger than 15.
The graph with inequality x>15 is (B)
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given:
x>15
As, x is greater than 15.
So, the graph with x value labelled from the numbers greater than 15 which is represented by graph on right top corner.
Learn more about inequality here:
https://brainly.com/question/20383699
#SPJ2
Three paintings are shaped like an 8-foot square a 7-foot by 4-foot rectangle and a triangle with 6-foot base and height of 7 feet. If those paintings are hung together on the outside of the building how much of the building s wall they cover together ?
Answers
Answer:
113 square feet
Step-by-step explanation:
the total area covered can be determined by adding the area of the rectangle, triangle and square together
Area of a square = length² = 8² = 64 ft²
Area of a rectangle = length x width = 7 x 4 = 28 ft²
Area of a triangle = 1/2 x base x height = 1/2 x 6 x 7 = 21 ft²
64 + 28 + 21 = 113 ft²
What is the PE of an object that is 15kg that is 5.0 M above the ground?
Answers
Answer:
735 JStep-by-step explanation:
The potential energy of a body can be found by using the formula
PE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 9.8 m/s²
From the question we have
PE = 15 × 9.8 × 5
We have the final answer as
735 JHope this helps you
Three friends compare the balances in their checking accounts.
The balance in Al's account is $32.60.The balance in Dee's account is 34
the balance in Al's account.
The balance in Zac's account is $49.08 less than the balance in Dee's account.
What is the balance in Zac's account?
Answers
Matthew is choosing between two Internet plans for his smart phone. Plan A costs $18 per month plus $0.05 per minute. Plan B costs $28 per month for unlimited usage. Please help me. Show all steps
Answers
Answer:
I would go with plan b because $0.05 can add up pretty fast and would be more expensive than $28
When rolling a number cube, what is the probability of rolling a 2 or an even number. Express your answer as a fraction in lowest terms
Answers
Answer:
https://www.sketchywebsite.net/
Step-by-step explanation:
The table compares the sample characteristics of four countries. Based on the sample characteristics shown in the table, which country MOST LIKELY has the largest percentage of white-collar workers?
Ο Japan
Ο Hong Kong
Ο Taiwan
Ο Singapore
Answers
Answer:
Singapore
Step-by-step explanation:
I did japan and I got it wrong and it told me the right one was Singapore.
Hope this helps!
BRAINLIEST PLEASE!!
FROM: AUG1E
An airplane altitude in feet during its descend can be found using the function f(x)=-200x+20,000. After new government regulations become law the descent is now modeled by the function g(x)=-200x+20,500. Which statement describes the change?
Answers
Answer:
The airplane starts its descent from an altitude 500 feet higher.
Step-by-step explanation:
Given that:
F(x) = - 200x+20,000
g(x) = -200x+20,500
The functions are written in slope intercept format :
With a negative slope, the intercept gives the point which the rate of change begins in the vertical axis :
The slope is -200 ; which means that the descent rate of the airplane is 200
The intercept value however changes from 20,000 in f(x) to 20500 in g(x). This means that the height at which descent starts is now at a height of 20500 which is (20500 - 20000) = 500 miles higher than before.
if 2f(x)-3f(1/x)=x^2 determine f(2)
Answers
hope this helped
6.James is fencing his rectangular garden.The garden
has a side with 5meters and another side with 3 meters. What is the perimeter of the garden?
Answers
Answer:
16 meters
Step-by-step explanation:
5+3+5+3= 16 meters
Tom started a stamp collection with 32 stamps each week he added 8 to his collection. Rhea started with 102 stamps each week she gave away 6
Answers
Answer:
The total number of stamps that Tom collect at the end of X weeks is
[tex]32 + 8 * X[/tex]
Step-by-step explanation:
Complete question
Tom started a stamp collection with 32 stamps. Each week he added 8 stamps to his collection.
Rhea started her stamp collection with 102 stamps. Each week she gave away 6 stamps.
Write an equation to represent the number of stamps in Tom’s collection based on the number of weeks he has been collecting stamps.
Solution
Let "X" be the number of weeks for which Tom collected the stamps
The number of stamps that Tom had at the time of starting the collection [tex]= 32[/tex]
It is given that he collects 8 stamps per week
So the total number of stamps that Tom collect at the end of X weeks is
[tex]32 + 8 * X[/tex]
Please help ASAP ASAP
Answers
Answer:X=110
Step-by-step explanation:
When you divide 196 by 20 you get 9.8 so when you divide 1078 by 9.8 you get 110
A 26 foot ladder is set against the side of a house so that it reaches up 24 feet. If Mila
grabs the ladder at its base and pulls it 12 feet farther from the house, how far up the side of the house will the ladder reach now?
Answers
Answer:
13.9
Step-by-step explanation:
13.85 feet far up the side of the house will the ladder reach now.
Given that, a 26 feet ladder is set against the side of a house so that it reaches up 24 feet.
What is heights and distances in trigonometry?In mathematics, you can calculate the height of an object using the distance and angles. Here distance is the horizontal distance between the object and the angle is the angle above the horizontal of the top of the object, which gives the height of the object.
Let the distance between base of house to foot of the ladder be x.
Using Pythagoras theorem 26²=24²+x²
⇒ 676 = 576 + x²
⇒ x² = 100
⇒ x =10 feet
Mila grabs the ladder at its base and pulls it 12 feet farther from the house.
Now, the distance between base of house to foot of the ladder = x+12
= 10+12 = 22 feet.
So, up the side of the house the ladder reach = 24-h
Then, 26² = (24-h)²+22²
⇒ 676 = (24-h)²+484
⇒ (24-h)² = 192
⇒ (24-h) = √192
⇒ (24-h) = 13.85
⇒ h = 24-13.85
⇒ h = 10.15 feet
Therefore, 13.85 feet far up the side of the house will the ladder reach now.
To learn more about the heights and distance in trigonometry visit:
https://brainly.com/question/27917190.
#SPJ2
What is the value of X?
Answers
Answer:
56
Step-by-step explanation:
You add 91 and 33 and you get 124. Subtract 180 and 124 to get 56.
56 because the 3 angles have to add up to 180. Please mark as brainliest. :)
What is the slope of the line represented by -3x + 5y = 20 ?
Answers
In the XY coordinate plane, the slope of a line is 4 and it passes through the point (1,3). Find the equation of a line that is perpendicular to the given line and intersects it at the given point.
A. y=4x-1
B. y=-4x+7
C. y=1/4x -1
D. y=4x+13/4
E. y=-1/4x+13/4
Answers
Answer:
E?
Step-by-step explanation:
I'm sorry of this answer is wrong
The square pyramid below represents a tent that Wayne is making. The sides of the tent will be covered in blue fabric, and the base of the tent will be covered in brown fabric. Find the surface area that will be covered in each color of fabric. Enter your answer in the boxes
Answers
The quantities
x
and
y
are proportional.
Answers
Answer:
The quantities x and y are in a proportional relationship.
Step-by-step explanation:
[tex][Hello,BrainlyUser][/tex]
Your question is incomplete but I will try my best to answer <3
Answer/Step-by-step explanation:
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x = r
[tex][CloudBreeze][/tex]
What is true about the slopes of lines that are perpendicular?
A They have opposite signs
B They are reciprocals of each other
C They have opposites signs and are reciprocals of each other
D They are exactly the same
Answers
The price of 7-minute phone call is $.105 What is the price of 18 -minute phone call?
The price of 18-minute phone call is $
Answers
Answer:
$.27
Step-by-step explanation:
.105/7*18
The square below has an area of 64-16x+x^264−16x+x 2 64, minus, 16, x, plus, x, squared square meters. What expression represents the length of one side of the square?
Answers
I think I don’t exactly remember don’t judge me
please help me out :))
Answers
Answer:
144
Step-by-step explanation:
It rotates out of 360 degrees, and since it is a pentagon that rotates from two of its vertices, then 360/5 would give us the amount it is rotating from one vertice. So 72. Then multiply it by two because you are moving from e to b.
144
A block of sugar maple wood has a mass of 82.8 g and density of 0.69 g/cm3. The block is a rectangular prism with a length of 5 cm and a width of 4 cm. What is the height of the block of sugar maple?
Answers
Answer:
6
Step-by-step explanation:
I believe if you fallow the mathematical process of d=m/v you will get 6
The height of the block of the sugar maple from the rectangular prism is 6 cm.
What is the volume of a rectangular prism?The volume of a rectangular prism signifies the rectangular area enclosed by the prism. The equation used in calculating the formula for a rectangular prism can be expressed as:
V = length × width × height
From the parameters given:
mass of a sugar maple = 82.8 gThe density of the sugar maple = 0.69 g/cm³[tex]\mathbf{Desity = \dfrac{mass}{volume}}[/tex]
[tex]\mathbf{volume = \dfrac{82.8 g }{0.69 \ g/cm^3}}[/tex]
volume = 120 cm³
Using the previous equation for calculating the volume of a rectangular prism, we have:
120 cm³ = 5 cm × 4 cm × height
120 cm³ = 20 cm² × height
height = 120 cm³/20 cm²
height = 6 cm
Learn more about a rectangular prism here:
https://brainly.com/question/128724
What is the expression for k more than 8?
Answers
Answer:
k>8
Step-by-step explanation:
k more than 8 indicates that the value of k is larger than 8. So the inequality sign opens towards k and closes towards 8.
Hope this helps!
Answer:
9 is bigger than 8
Step-by-step explanation:
The value, V(t), of a baseball card increases according to the function V(t) = P(1.045)', where P is the purchase price of the
baseball card and t is the time, in years since the card was purchased. By what percent does the value of the card increase each
year'?
1 4.5%
2 45%
3 95.5%
4 145%
Answers
The Percentage increase in the purchase price each year is 4.5%.
The given function is:
[tex]V(t)=P(1.045)^t[/tex]
Where P is the purchase price of the baseball card and t is the time.
What is a function?A function is a rule that establishes a relation between two variables.
[tex]V(1)=P(1.045)^1\\V(1)=1.045P[/tex]
[tex]V(2)=P(1.045)^2\\V(2)=1.092025P[/tex]
Percentage increase in the purchase price each year
=[tex]\frac{V(2)-V(1)}{V(1)} *100[/tex]
[tex]=\frac{1.092025P-1.045P}{1.045P} *100[/tex]
[tex]=4.5%[/tex]%
Hence, the Percentage increase in the purchase price each year is 4.5%.
To get more about functions visit:
https://brainly.com/question/2833285
3(g + 4) = 9
Need help
Answers
Answer:
g=-1
Step-by-step explanation:
3(g+4)=9
Divide both sides by 3.
g+4= 9/3
Divide 9 by 3 to get 3.
g+4=3
Subtract 4 from both sides.
g=3−4
Subtract 4 from 3 to get −1.
g=−1
Answer:
3(g+4)=9
or, 3(g+4)/3=9/3 [Dividing both sides by 3.]
or, g+4=3
or, g+4-4=3-4 [Subtracting 4 from both sides.]
So, g=-1
