Answers
Problem 2
Part (a)
The 3D shape formed when rotating around the y axis forms a pencil tip
The shape formed when rotating around the x axis is a truncated cone turned on its side.
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Part (b)
Check out the two diagrams below.
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Problem 3
Answer: Choice A and Choice C
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Explanation:
Think of stacks of coins. Let's say we had 2 stacks of 10 quarters each. The quarters are identical, so they must produce identical volumes. Those sub-volumes then add up to the same volume for each stack. Now imagine one stack is perfectly aligned and the other stack is a bit crooked. Has the volume changed for the crooked stack? No, it hasn't. We're still dealing with the same amount of coins and they yield the same volume.
For more information, check out Cavalieri's Principle.
With all that in mind, this leads us to choice C. If the bases are the same, and so are the heights, then we must be dealing with the same volumes.
On the other hand, if one base is wider (while the heights are still equal) then the wider based block is going to have more volume. This leads us to choice A.
Related Questions
A merchant offers a large group of items at 32% off later the merchant takes 16% off the sale prices and claims that the final price of these items is 186 off the original price.
what is the total percent discount?
Answers
The total discount was 48% of the original price of $387.50
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the original price.
Discount = (32% of x) + (16% of x) = 0.48x = 48% of x
The final price of these items is 186 off the original price.
x - 0.48x = x - 186
x = $387.50
The total discount was 48% of the original price of $387.50
The solution to the equation 6a = 42 gives a = 7
Find out more on equation at: https://brainly.com/question/2972832
A red ball and 4 white balls are in a box. If two balls are drawn without
replacement, what is the probability of
a getting two white balls?
Answers
Answer:40%
Step-by-step explanation:
10 divided by 2 is 5.
Since there are five balls, and four are white and one is red, if you double that amount, then you would have 8 white and 2 red. So four white balls is equal to 40%.
These are the cost and revenue functions for a line of smartphones:
R(x) = 952x – 0. 68x2
C(x) = -153x + 371,450
Based on these functions, what is the maximum profit that can be made, to the nearest dollar?
A)$68,850
B)$77,456
C)$234,706
D)$332,200
Answers
Answer:
Its B $77,456 I just got it correct on the quiz
Step-by-step explanation:
What is the factored form of x^3-1? (x^3-1)(x^2+x+1) (x-1)(x^2-x+1) (x-1)(X^2+x+1) (x^3-1)(x^2+2x+1)
Answers
Step-by-step explanation:
Whe
Okay so the choices of answers are the same on all three and I do need answers for all three :( pls help! Thanks
Answers
Answer:
1. >
2. <
3. =
Step-by-step explanation:
Matt took 12 hours to read a 792 page book.
Which rate best represents the relationship between the number of pages Matt reads to the amount of time it took for him to read it?
A. 67 hours per page
B. 66 pages per hour
C. 65 pages per hour
D. 804 hours per page
Answers
The representation of Matt's reading the book is an illustration of unit rates
The best representation of the rate is (b) Matt reads 66 pages per hour
How to determine the representation?
The given parameters are:
Pages = 792 pages
Time = 12 hours
The rate is then calculated as:
Unit Rate = Pages/Time
This gives
Unit Rate = 792/12
Evaluate the quotient
Unit Rate = 66
This means that Matt reads 66 pages per hour
Read more about unit rates at:
https://brainly.com/question/19493296
true or false dont guess.
A triangle can be made by segments that are 15.9 cm, 10 cm and 25.9 cm.
Answers
Answer:
false
Step-by-step explanation:
for the segments to form a triangle, then
the sum of any 2 must be greater than the third.
15.9 + 10 = 25.9 ← not greater than 25.9
10 + 25.9 = 35.9 > 15.9
15.9 + 25.9 = 41.8 > 10
then the 3 segments will not form a triangle.
hello, I need help with this. any help is appreciated :)
50 000 cm2 = ? m2
Answers
Step-by-step explanation:
50 000 cm2 = 5 m2
hope it helps
Answer:
[tex]5 meters^{2}[/tex] or 5m2
Step-by-step explanation:
1 meter^2 = 10000 cm
There for we could set up a ratio for this problem
[tex]\frac{x}{50000}: \frac{1}{10000}[/tex]
Using cross-multiplication we get:
[tex]10000x = 50000[/tex]
Divide 50,000 by 10000 we get:
[tex]5[/tex]
Therefore the answer is [tex]5 meters^{2}[/tex]
50 000 cm2 = 5 m2
Hope this helps! :)
Jacob can make 6 math games in 1.6 of an hour. At this rate, how many math games could he make in 4 hours?
Answers
Answer:
15
Step-by-step explanation:
4/1.6=2.5
2.5*6=15
=15
Can someone please help explain how to do this?
What is the measure of B? C is 34 degrees.
Answers
Answer:
m<B= 56
Step-by-step explanation:
A triangle has 180 degrees. This is right triangle meaning there is one angle that is 90 degrees. That's angle A since it's indicated by the little box. So 90+34= 124. You then subtract that from 180 to get 56.
Find value of x degrees
Answers
half the hexagon is a straight line so its 180°
then 180 will be divided by the 3 sectors
180°÷3
=60°
A cube has a side length s of 7 centimeters. The expression 6s2 gives the surface area of the cube and the expression s3 gives the volume. What are the volume and surface area of the cube? NEED HELP NOW!!!!!!
Answers
Answer:
Area = 294 cm^2
Volume = 343 cm^3
Step-by-step explanation:
Simply plug in s = 7 into the given equations.
[tex]6s^{2} = 6*7^{2} = 294 cm^{2}[/tex]
[tex]s^{3} = 7^{3} = 343 cm^{3}[/tex]
Two airplanes leave the same airport. One heads north, and the other heads east. After some time, the northbound airplane has traveled 45 kilometers. If the two airplanes are 53 kilometers apart, how far has the eastbound airplane traveled?
Answers
InbeldkxixknsmskalUhuuujuuu
Please help me find the answer. WORTH 25 POINTS
Answers
Answer:
10x+5/16
Step-by-step explanation:
just add them all together
:) Hope you enjoy :)
1. Solve: 12 + 24 = 6 x 3 = ?
Answers
Answer:
False
Step-by-step explanation:
12 + 24 = 36
6 * 3 = 18
Answer: FALSE
Step-by-step explanation: So 12+24= 36 then 6 x 3 = 18 it's not the same answer
If x – 10 is a factor of x2 – 8x – 20, what is the other factor?
Answers
Answer:
(x−10) (x+2)
Step-by-step explanation:
Describe the steps you can use to find an average of
fractional amounts.
Answers
Complete the sentence.
The amount of time it takes to give a dog a bath is most likely to be a function of the _____
A. type of food the dog eats
B. size of the dog
C. color of the dog
D. size of the house where the dog lives
Answers
Answer:
size of the dog
Step-by-step explanation:
Hope this helps
Option B is the correct answer.
Given that, the amount of time it takes to give a dog a bath is most likely to be a function of the _____.
What is the function?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
The amount of time it takes to give a dog a bath is directly proportional to the size of the dog.
Therefore, option B is the correct answer.
To learn more about the function visit:
https://brainly.com/question/12431044.
#SPJ2
12. A wildlife manager determines that the
function y = 200 • 1. 07* represents the deer
population at a state park, x years after the
population is first counted. What is the population
after 12 years?
Answers
Answer:
450
Step-by-step explanation:
To evaluate the function for a particular value of the variable, put that value in place of the variable and do the arithmetic.
__
y = 200×1.07^x for x = 12
y = 200×1.07^12 ≈ 200×2.252 ≈ 450
The deer population is about 450 after 12 years.
I need some help with this please
Answers
Answer:
3^5 = 3 x 5 ( False )
6^3 = 216 ( True )
9^1 = 1^9 ( False )
Step-by-step explanation:
3^5
= 3 x 3 x 3 x 3 x 3
= 243
6^3
= 6 x 6 x 6
= 216
9^1 = 9
First question:
[tex]3^5=3*3*3*3*3[/tex] ≠ [tex]3*5[/tex]
Answer: False
Second question:
[tex]216 = 6 * 6 * 6 = 6^3[/tex]
Answer: True
Third Question:
[tex]9^1[/tex] ≠ [tex]1 * 1*1*1*1*1*1*1*1=1^9[/tex]
Answer: False
Click on the correct equation to show the commutative property. 2 + 3 = 5
Answers
Answer:
3 + 2 = 5
Step-by-step explanation:
Remember Commutative Property by thinking about what happens when someone has to "commute" (driving back and forth to work or school) If the numbers in the addition MOVE then it is Commutative Property.
When the bathroom at your house started to leak, the plumber came to fix it. In all, he used 18 feet of pipe, which came in either 2-foot or 4-foot sections. How many of each did he use if he needed 6 pieces of pipe
4 two foot and 2 four foot
3 two foot and 3 four foot
2 two foot and 4 four foot
5 two foot and 1 four foot
Answers
Answer:
3 two foot and 3 four foot
Step-by-step explanation:
In order to find how many of each he used, you have to find how much pipe in total with the options that were given you.
(3*2)+(3*4)=6+12=18 feet of pipe
In circle B, m DAC = 60°. Solve for v ifmDC = (7x – 42)°. If necessary,
round your answer to the nearest tenth.
Answers
Answer: 23.1
Step-by-step explanation:
By the inscribed angle theorem, we know the measure of arc DC is 120 degrees. So, we can set 120=7x-42.
162 = 7x
x = 162/7, which is about 23.1
Please help me pleeeeeeeeeeease
Answers
Answer:
what do you need help on?
there are 216 7th grade students in 9 classes find the unit rate
Answers
Answer:
24 students per class
Step-by-step explanation:
Answer:
24 students per class.
2(n+8)
What is Max’s final number if his starting number 7?
Answers
Answer: 30
Step-by-step explanation:
Answer:
Method 1
2(n+8)
2n+16=2x7+16
14+16=30
Method 2
2(n+8)
2(7+8)=2(15)
=30
Sports A baseball is thrown into the air with an upward velocity of 30 ft/s. Its
height h, in feet, after t seconds is given by the function.h= -16t2 + 30t + 6. How
long will it take the ball to reach its maximum height? What is the ball's maximum
height? What is the range of the function?
Answers
Step-by-step explanation:
so, the function is
h(t) = -16t² + 30t + 6
we get the point of the extreme value(s) by finding the zero solution(s) of the first derivative of the function.
h'(t) = -32t + 30
finding the zero solution
-32t + 30 = 0
30 = 32t
t = 30/32 = 15/16 seconds
after 15/16 seconds (not even a full second) the ball reaches its maximum height.
the height at that maximum is then h(15/16) :
-16(15/16)² + 30×15/16 + 6 = - 15²/16 + 450/16 + 6 =
= -225/16 + 450/16 + 96/16 = 225/16 + 96/16 = 321/16 =
= 20.0625 ft
and so, the range (the interval or set of all valid functional values) is
0 <= h(t) <= 20.0625
as naturally, on a normal surface and environment, the height of the ball cannot go below 0 (when it hits the ground, it's over).
Solve the equation.
If necessary
Combine Terms
Apply properties
Add Subtract
Multiply
Divide
Answers
Answer:
x=-1
Step-by-step explanation:
3x+12-8x=19+2x (combine liked terms)
-5x+12+19=2x (move variable to the left-hand side and change its sign)
-5x-2x+12=19 (combine liked terms)
-7x=19-12 (divide both sides of the equation by -7)
x=-1
Leo plans to take 24 credit hours of courses during his freshman year of college. Each credit hour costs $350 for in-state tuition. Housing will cost $7,000, and books will cost $800. How much will Leo pay for tuition, housing, and books for his freshman year of college?
Answers
Answer:
$16200
Step-by-step explanation:
24 times 350=8400
8400+7000+800
Which statement is true about this comparison? 0.739>0.7380 CLEAR CHECK It is correct because placing a zero at the end of a decimal makes it smaller. It is correct. The digits in the tenths and hundredths places are the same, but in the thousandths place, 9 is greater than 8. It is incorrect because 0.7380 has more digits after the decimal point. It is incorrect. 739 is less than 7,380.
Answers
Answer:
It is correct. The digits in the tenths and hundredths places are the same, but in the thousandths place, 9 is greater than 8
Step-by-step explanation:
Given
[tex]0.739 > 0.7380[/tex]
Required
Select the true statement
Analyzing both number base on the place value.
Tenth: 7 = 7
Hundredth: 3 = 3
Thousandth: 9 > 8
Hence, the statement is correct.
Option B answers the question because 9 is greater than 8