Use your equations from Lesson 1 for the Brick candle and the Egyptian candle to create a graph of two polynomial functions so that you can compare volumes for different values of x. Compare the volumes.
My equations from lesson 1 were x^3-x^2 for the brick, and 7x^2 for the Egyptian.
Answers
9514 1404 393
Answer:
the cubic does not exceed the quadratic until x > 8
Step-by-step explanation:
The attached graph plots the two expressions. The two are equal at x=8. Below that value the expression 7x^2 is greater. Above that value, the expression 7x^3 -x^2 is greater.
_____
Comment on the question
The directive to "compare the volumes" does not tell anything about the sort of comparison you are expecting. We note that the expression x^3-x^2 is zero or less up to the point where x=1, so we wonder exactly what it is supposed to be modeling. Any real volume will not be negative.
For small values of x, the quadratic is quite a bit larger. However, we know the cubic will grow larger than any quadratic for large values of x. So, the comparison you get will depend on the domain of interest—which is not specified.
Related Questions
On a 20 sided dice what is the probability that a 11 was rolled?
Answer (round) to the hundredth place value.
Answers
Given:
A 20 sided dice is rolled.
To find:
The probability of getting 11.
Solution:
A 20 sided dice is rolled.
On a 20 sided dice, the possible outputs are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20.
Total number of outcomes = 20
Favorable outcomes or number of 11 = 1
Now,
[tex]\text{Probability of getting 11}=\dfrac{\text{Favorable outcomes}}{\text{Total number of outcomes}}[/tex]
[tex]\text{Probability of getting 11}=\dfrac{1}{20}[/tex]
[tex]\text{Probability of getting 11}=0.05[/tex]
Therefore, the probability of getting 11 is 0.05.
Simplify this expression.
3^-3
Answers
Answer:
1/27 is the answer
Step-by-step explanation:
It is 1/(3^3) which is 1/27
Meteorologists recorded a temperature change from 72˚F to 28˚F in one day. Write an equation that represents how many degrees the temperature fell.
Answers
Answer:
72-x=28 or 72-28=x
Step-by-step explanation:
Help me please I’ll mark brainliest thank you
Answers
Answer:
11/15=x/240
240/15=16
11 x 16=176
11/15=176/240 or rather he completes 176 passes
Step-by-step explanation:
help please i am struggling.
Answers
Answer:
what Netflix show were you watching?
On a map, an art gallery is located at (13,-3). A car wash is located at(13,-5) . If each unit on the map is a city block, how many city blocks is the art gallery from the museum?
Answers
Answer:
The art gallery is 2 city blocks from the car wash
Step-by-step explanation:
If the x-coordinates of two points on a line equal, then the line is a vertical lineThe length of a vertical segment whose endpoints are (x, y1) and (x, y2) is Iy2 - y1ILet us solve the question
∵ The art gallery is located at the point (13, -3)
∴ x1 = 13 and y1 = -3
∵ A car wash is located at (13, -5)
∴ x2 = 13 and y2 = -5
∵ x1 = x2 = 13
→ That means the gallery and the car wash located vertically over each other
∴ The distance between them = Iy2 - y1I
∵ y1 = -3 and y2 = -5
∴ The distance between them = I-5 - (-3)I
∴ The distance between them = I-5 + 3I
∴ The distance between them = I-2I
→ Remember the absolute value cancel the negative sign
∴ The distance between them = 2 units
∵ Each unit on the map is a city block
∵ The distance between them is 2 units
→ That means the vertical distance between them is 2 city blocks
∴ The art gallery is 2 city blocks from the car wash
[Function Composition] could someone help me with this answers or show work either is fine
Answers
Answer:
(f ￮ g)(8) = - 6
Step-by-step explanation:
Evaluate g(8), then substitute the value obtained into f(n)
g(8) = 8 - 2 = 6 , then
f(6) = - 6
Answer:
-62
Step-by-step explanation:
Two functions are given to us , which are ,
[tex]\bf\implies f(n)= -n \\\\\bf\implies g(n)= n - 2 [/tex]
We need to find , ( f • g )(8) . So ,
⇒ ( f • g) = - n ( n - 2 )
⇒ ( f • g) = -n² + 2
⇒ (f • g) = 2 - n²
==================================
Substituting n = 8 :-
⇒ ( f • g)(n) = 2 - n²
⇒ ( f • g)(8) = 2 - 8²
⇒ (f • g)(8) = 2 - 64
⇒ ( f • g)(8) = -62 .
Hence the required answer is (-62) .I need help on both of these ASAP PLEASE
Answers
Answer:
#11: last option is answer
#12: first option is answer
Step-by-step explanation:
#11) 5x + 6 ≤ 11
5x ≤ 5
x ≤ 1 to graph this you need a solid dot on 1 and shading to the left
#12) 5p+ 4 > 14
5p > 10
p > 2 to graph this you need an open dot on 2 and shading to the right
Answer:
11. 5x + 6 <= 11.
12. 5p + 4 > 14.
Step-by-step explanation:
11. THE GRAPH shows that x <= 1.
So it is 5x + 6 <= 11 because
5x <= 5
x <= 1.
12. THE GRAPH shows that p > 2.
So it is 5p + 4 > 14.
5p + 4 > 14
5p > 10
p > 2.
Can you answer this please
Answers
Answer:
DE = 15 cm, AB = 6 cm
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal.
(a)
[tex]\frac{DE}{BC}[/tex] = [tex]\frac{CE}{AC}[/tex] , substitute values
[tex]\frac{DE}{5}[/tex] = [tex]\frac{24}{8}[/tex] = 3 ( multiply both sides by 5 to clear the fraction )
DE = 15 cm
(b)
[tex]\frac{AB}{CD}[/tex] = [tex]\frac{AC}{CE}[/tex] , substitute values
[tex]\frac{AB}{18}[/tex] = [tex]\frac{8}{24}[/tex] ( cross- multiply )
24AB = 144 ( divide both sides by 24 )
AB = 6 cm
Ar a furniture store, a bed frame costs $440 and mattress costs $654. There are currently 7 bed frames in the store, and together the bed frames and the mattresses are worth $10,820. How many mattresses are in the store?
A.1
B.5
C.12
D.15
A step y step explanation please!
Answers
Answer:
the three angles of a triangle have measures x,2x,and 4y,where x>56.If x and y are integers, what is one possible value of y?
Which of the following is a proportion?
9/12=8/10
3/4=9/12
6/8=8/12
12/18=9/16
Answers
The second option, 3/4 = 9/12 is a proportion.
Hope this helped! :D
Answer:
B
Step-by-step explanation:
To find the correct proportion you simplify all fractions into their simpliest form. If you do this you'll find that only B has two equivalent fractions
use the area of a triangle to write a formula for the area of a regular polygon and solve of the formula for height
Answers
Answer:
4
Step-by-step explanation:
scientists give two different treatments to people who have the flu and determine if their health improved. The results for the test are in the two-way table.
What percentage of people receiving treatment 1 had improved health?
What percentage of people receiving treatment 2 had improved health?
Answers
Answer:
58
Step-by-step explanation:
thank me later
The percentage of people receiving treatment 1 had improved health is 48%. The percentage of people receiving treatment 2 had improved health will be 52%.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that scientists give two different treatments to people who have the flu and determine if their health improved. The results of the test are in the two-way table.
The percentage of people receiving treatment 1 had improved health is calculated as,
Percentage = 23 / ( 23 + 25 )
Percentage = 0.48 x 100 = 48%
The percentage of people receiving treatment 2 had improved health is calculated as,
Percentage = 25 / ( 23 + 25 )
Percentage = 0.52 x 100 = 52%
Therefore, the percentage of people receiving treatment 1 had improved health is 48%. The percentage of people receiving treatment 2 had improved health will be 52%.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ5
Is y=6/x - 2 Linear? Please help :) 10 points!
Answers
Answer:
No this would not be linear. This would be an inverse variation, and doesn't have a linear relation between two variables since there is not constant rate of change or slope.
I’ll give 15 points.
Answers
Keisha makes a large sandwich for a family picnic. She takes
1\2
of the sandwich to the picnic. At the picnic, her family eats
1/4
of the whole sandwich.
What fraction of the whole sandwich does Keisha bring back from the picnic?
I will brainliest Please
Answers
Answer:
3/4 becuae fractions if u have 1/2 which is like 50% and take 25% of it u have only 25% left
Mara put down 7.5% on the purchase of her new home. If she put down $14.175, find the purchase price of the home
Answers
Given:
Mara put down 7.5% on the purchase of her new home.
She put down $14.175.
To find:
The purchase price of the home.
Solution:
Let x be the purchase price of the home.
According to the question,
Put down = 7.5% of the purchase price of the home.
[tex]14.175=\dfrac{7.5}{100}\times x[/tex]
[tex]14.175=0.075x[/tex]
Divide both sides by 0.075.
[tex]\dfrac{14.175}{0.075}=x[/tex]
[tex]189=x[/tex]
Therefore, the purchase price of the home is $189.
Which is the graph of y=-x-3?
Graph C
Graph B
Graph A
y
yt
X
-1
— Please help <33 ✨
Answers
Answer:
If you are talking about y=[tex]y= \frac{3}{4} x -3,[/tex] then the graph would be Graph A.
A recipe for cake used 3 1/3 cups of flour. Audre has 12 1/12 cups of flour. What is the most number of cakes she can make?
Answers
Answer:
3 cakes.
Step-by-step explanation:
12 1/2 divided by 3 1/3 gives you 3.625, then you round it off to 3.
Answer:
3 cakes hope this helps :)
(-∞-)help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me
Answers
Answer:
the answer is -3 because -++ in the high eat number so the -7 is the bigest
Which type of association does the scatter plot show?
Answers
Answer:
Strong positive
Step-by-step explanation:
I had that question on a test
Answer:
so what was the answer
Step-by-step explanation:
Fu Haifeng of China set a badminton world record with a smash of 332 kilometers per hour. A kilometer is about 58 mile.What is the speed in miles per hour, to the closest whole number?
Answers
Answer:
206 miles/hour
Step-by-step explanation:
1 kilometre per hour = 0.621 mile per hour
332 km/hr to miles per hour
= 332 km/hr × 0.621 miles per hour
= 206.295 miles per hour
Approximately to the nearest whole number
= 206 miles per hour
Badminton world record smash speed in miles is 260.17 mile per hour.
Convert into mile per hour:Given that;
Badminton world record smash = 332 kilometers per hour
1 kilometer per hour = 0.621 mile per hour
Find:
Badminton world record smash speed in miles
Computation:
Badminton world record smash speed in miles = 332 × 0.621
Badminton world record smash speed in miles = 260.17 mile per hour
Find more information about 'mile per hour'.
https://brainly.com/question/25997178?referrer=searchResults
Solve for X (This should be easy)
Answers
Answer:
17
Step-by-step explanation:
15^2+8^2=17^2
What is the congruence theorem used to prove that the two triangles are congruent?
Answers
Answer:
ASA
Step-by-step explanation
They have a congruent angle at the top of the triangle and they both have a right angle at the bottom. They share the same side, so this is ASA.
is 4(x+1) - 3 and 4x + 1 equivalent and why ??
Answers
Answer:
Step-by-step explanation:
4x + 4 - 3
= 4x + 1
Yes they both are equivalent because the algebraic expression is same
5. A broken rectangular-shaped window is
being replaced. It measures 24 inches by 187
inches. How many square inches of glass are
needed to repair the window? Draw a picture
to help.
Answers
Answer:
4488
Step-by-step explanation:
(24)(187)
1.5(4a+6)
Please answer
Answers
Multiply both sides by 1.5
6a+ 9
Your answer is 6a+9
it would be 6a+9
Michael giokas car from 150 minutes at a constant speed of 70 miles per hour and then for another 2 hours at a constant speed of 81 miles per hour how far did Michael drive so explain how you got your answer
Answers
Step-by-step explanation:
150 minutes = 2.5 hours.
2.5 hours * (70 miles/hr) = 175 miles.
2 hours * (81 miles/hr) = 162 miles
Total distance = 175 + 162 = 337 miles.
Hence Michael drove 337 miles in total.
Answer:lek
Step-by-step explanation:
Leo
Please help me ASAP!!!
Answers
Answer: -5, 5, 9
Step-by-step explanation: Range means y values.
2. Atmospheric carbon dioxide (CO 2 ) is believed to be a primary factor in global warming Levels of CO, are increasing because human activities, such as burning fossil fuels, send more CO 2 , into the atmosphere than natural biological processes remove Estimates in 2012 suggested that Earth's atmosphere contained 393 parts per million (ppm) of co 2 with another 2 ppm added each year a) Based on findings of the 2012 study, what function could be used to estimate the atmospheric CO 2 at any time x years after 2012 b) Using your model from part a What level of atmospheric CO 2 can be expected in the year 2025? In what year can we expect atmospheric CO 2 to reach 400 ppm? M o nd c Suppose that omissions from
Answers
Answer:
(a)Required relation is 393 + 2x ppm
(b)Amount of [tex]CO_2[/tex] concentration in 2025 is 419 ppm
(c)After 3.5 years concentration of [tex]CO_2[/tex] is 400 ppm
Step-by-step explanation:
From the question it is given that :
Estimated [tex]CO_2[/tex] in atmosphere in 2012 is 393 (parts per million)ppm
[tex]CO_2[/tex] level increasing per year is 2 ppm
(a) Let y be the concentration of [tex]CO_2[/tex] in atmosphere after x years from 2012 then:
y = 393 + 2x ppm
Therefore required relation is 393 + 2x ppm
(b) amount of [tex]CO_2[/tex] in 2025 i.e.,x = 13 years after 2012 is y
y = 393 + 2 x 13 = 393+ 26 = 419 ppm
Therefore, amount of [tex]CO_2[/tex] concentration in 2025 is 419 ppm
(c) give y = 400 ppm and x be the year then
400 = 393 + 2x
2x = 7
⇒ x = 3.5 years
Therefore after 3.5 years concentration of [tex]CO_2[/tex] is 400 ppm