Answer:
$40
Step-by-step explanation:
If something is 20% off divide the number by 5 then take that number and minus it from the original number
For example
50 ÷ 5 =10
50 - 10 = 40
I hope this helps!
Find the volume of the solid whose base is the region Ix I Iy I < 1 and whose vertical cross sections perpendicular to the y-axis are semicir- cles (with diameter along the base) g
Answer:
volume of the solid = [tex]\frac{\pi }{3}[/tex]
Step-by-step explanation:
As given , the region : |x| + |y| [tex]\leq[/tex] 1
when y [tex]\geq[/tex] 0 ,
|x| + y = 1
⇒|x| = 1 - y
when y ≤ 0 ,
|x| - y = 1
⇒|x| = 1 + y
The given region is the rectangle with sides (0, 5) , (0, -5), (5, 0), (-5, 0)
As given , the vertical cross section are semicircle
As we know that the area of semi circle = [tex]\frac{1}{2}[/tex][tex]\pi x^{2}[/tex]
Now,
Volume = [tex]\int\limits^0_-1 {\frac{\pi }{2} (1+y)^{2} } \, dy[/tex] + [tex]\int\limits^1_0 {\frac{\pi }{2} (1-y)^{2} } \, dy[/tex]
= [tex]\frac{\pi }{2} (\frac{(1+y)^{3} }{3} )[/tex] - [tex]\frac{\pi }{2} (\frac{(1-y)^{3} }{3} )[/tex]
= [tex]\frac{\pi }{6}[/tex][1-0] - [tex]\frac{\pi }{6}[/tex][0-1]
= [tex]\frac{\pi }{6} + \frac{\pi }{6} = 2\frac{\pi }{6} = \frac{\pi }{3}[/tex]
⇒volume of the solid = [tex]\frac{\pi }{3}[/tex]
Volume of the solid is the value of the capacity of the object that can be hold by it. Thus the value of the volume of the given solid is,
[tex]V=\dfrac{\pi}{3} [/tex]
Given information-The vertical cross sections of the solid is perpendicular to the y-axis.
The region of the base is,
[tex]|x|+ |y|\leq 1[/tex]
VolumeVolume of the solid is the value of the capacity of the object that can be hold by it.
When the value of the variable y is greater than or equal to zero than the value of the x is,
[tex]|x|=1-y[/tex]
When the value of the variable y is less than or equal to zero than the value of the x is,
[tex]|x|=1+y[/tex].
Given inequality makes a square with the corners (1,0), (0,1),(-1,0),(0,-1).
Now the limit for the given solid is between 0 to 1 and area is equal to the semicircle which is,
[tex]A=\dfrac{\pi x^2}{2} [/tex]
Thus the volume of the solid whose area bounded by the region 1 to -1 and vertical cross section is semicircle can be given as,
[tex]V=\int\limits^1_0 {\dfrac{\pi x^2}{2} } \, dx [/tex]
[tex]V=\dfrac{\pi}{2} [\;\;\int\limits^1_0 {(1+y)^2} \, dy +\int\limits^1_0 {(1-y)^2} \, dy ][/tex]
[tex]V=\dfrac{\pi}{2} [\;\;\dfrac{\int\limits^1_0 {(1+y)^3}}{3} \, +\dfrac{\int\limits^1_0 {(1-y)^3} \, }{3} ][/tex]
[tex]V=\dfrac{\pi}{6} [\;\;\ {(1-0)^3} \, +{(0-1)^3} \, ][/tex]
[tex]V=\dfrac{\pi}{3} [/tex]
Thus the value of the volume of the given solid is,
[tex]V=\dfrac{\pi}{3} [/tex]
Learn more about the volume of the solid here;
https://brainly.com/question/2254156
A surf shop charges $6 to rent a wetsuit and $12 per hour to rent a surfboard. Write a function to model the cost, c, to rent a wetsuit and surfboard for h hours.
Answer:
c(h)=12h+6
because the swimsuit only needs to be paid for once, whereas the surfboard is charged on an hourly basis
A city has a population of 390,000 people. Suppose that each year the population grows by 6%. What will the population be after 15 years?
Use the calculator provided and round your answer to the nearest whole number.
Answer:
uh 351,000? im not sure..
Step-by-step explanation:
I will give brainiest to whoever answers correctly !!
Answer:
April 25 150 days
Step-by-step explanation:
alicia runs 5 miles in 40 minutes, if she ran at the same rate. how long would it take her to run 2 miles
Answer:
15 miles
Step-by-step explanation:
if she runs 5 miles in 40 minutes her average speed is 5÷40 = 0.125 miles per min
2 hours = 60 mins × 2 = 120 mins
if she runs 0.125 miles per minute, then 2 hrs = 120 mins × 0.125 = 15 miles
A 5-yard roll of brown paper costs $0.55. What is the unit price?
Answer:
0.11 per yard.
Step-by-step explanation:
Alex drew the triangles shown. Which of the following correctly describes the triangles?
Answer: wheres the attachment..
Step-by-step explanation:
HELP FAST PLS-
10 is what percent of 118?
PLEASE SHOW ALL YOUR WORK
Answer:
10 is ≈8.47% of 118
Step-by-step
(10/118)(100)
if tñ=2ñ+3, find S10
Answer:
[tex]S_{10}=280[/tex]
Step-by-step explanation:
Given that,
[tex]t_n=2n+3[/tex] ...(1)
We need to find the value of [tex]S_{10}[/tex].
Put n = 1 to find the first term.
[tex]t_1=2(1)+3=5[/tex]
Put n = 2 to find the second term.
[tex]t_2=2(2)+3=7[/tex]
Put n = 3 to find the third term.
[tex]t_3=2(3)+3=9[/tex]
Put n = 10 to find the tenth term.
[tex]t_{10}=2(10)+3=23[/tex]
It means we need to find the sum of 5,7,9,.....,23.
The formula for the sum of n terms is given by :
[tex]S_=\dfrac{n}{2}(a+a_n)[/tex]
We have, n = 10, a = 5 and [tex]a_n=23[/tex]
So,
[tex]S=\dfrac{10}{2}(5+23)\\\\S_{10}=10\times 28\\\\=280[/tex]
So, the value of [tex]S_{10}[/tex] is equal to 280.
Pls help
Find the quotient of 4.13 × 10^−8 and 0.04 × 10^5. In two or more complete sentences, explain each step in your calculations. Include the quotient as part of your final answer.
Answer:
[tex]q=1.03\times 10^{-11}[/tex]
Step-by-step explanation:
Given that,
First number [tex]=4.13\times 10^{-8}[/tex]
Second number [tex]=0.04\times 10^{5}[/tex]
We need to find the quotient of first and the second number. It can be calculated by taking [tex]=4.13\times 10^{-8}[/tex] at numerator and [tex]=0.04\times 10^{5}[/tex] at denominator such that,
[tex]q=\dfrac{4.13\times 10^{-8}}{0.04\times 10^5}\\\\=\dfrac{4.13}{0.04}\times 10^{-8-5}\\\\=103.25\times 10^{-13}[/tex]
or
[tex]q=1.03\times 10^{-11}[/tex]
So, the final answer is [tex]1.03\times 10^{-11}[/tex]
HELP MY MOM IS GOING TO KILL ME
Answer:
−a2+17b
Step-by-step explanation:
Drop down answers :
1 equal to
2 greater than
3 less than
Answer:
The answer is three less than
Step-by-step explanation:
Geometry pls halp... I have been asking this single question for over half an hour
Answer:
first one is SAS
Step-by-step explanation:
what is the decimal rounded to the nearest thousand of 369/460
Answer:
Step-by-step explanation:the answer is 0.8020
help due in 15min
Simplify each expression
2(x + 4) - 3(y + 2x)
2d + 3(4d + 2k) - 3k
5(4m - 2r + 7) + 4m + 3r
Answer:
The last lines are the final answers, if you need a deeper explanation let me know but I wanted to make sure you understood and got it in time.
Step-by-step explanation:
2(x+4)-3(y+2x)
2x+8-3y-6x
-4x-3y+8
2d+3(4d+2k)-3k
2d+12d+6k-3k
14d+3k
5(4m-2r+7)+4m+3r
20m-10r+35+4m+3r
24m-7r+35
I hope I didn't get anything wrong in a hurry!
What is 86 + (-32) ?
Answer:
54
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
Adding a negative number is the same thing as subtracting a positive number, so 86 + (-32) is the same thing as 86 - 32, which is 54.
The quotient of dividing a number by 4 is 5. Find the number.
Answer: 20
Step-by-step explanation:
A quotient is th value that is gotten when two numbers are divided. Based on the information given in the question, let the number be represented by x.
Therefore, x/4 = 5
x = 4 × 5
x = 20
The number is 20
Find the remainder when f(x) = (3x + 10x² + x - 2) divided by (x + 3)
What force is affected when the distance between two objects remains the name and the mass of each object is doulod?
HELP quick
Answer:
gravitational force or A the first one
Step-by-step explanation:
Answer:
Step-by-step explanation:
it a
#1
Second Split Inc. did a time study of Nan Richardson's job as a meat packer. Her times were
recorded. The average times were calculated. If Richardson gets a 10-minute break each hour,
how many cartons of meat can she package in an hour?
Time in Seconds
Task
#2 #3 #4 #5 Average
Gather meat 43 42 40 43 42 42.0 sec
Cut meat
111 120 120 124 121 119.2 sec
Measure meat 47 45 50 50 50
48.4 sec
Wrap meat
12 11 12 12 12
11.8 sec
8
7
Label meat
7 8 8
7.6 sec
5
6
Pack meat
5 6 6
5.6 sec
5
6
Answer:
Step-by-step explanation: 10 minutes are taken out of the hour so you are left with 50. 50 minutes into seconds is 3,000. Next you add the average amount of seconds for each task totaling to 234.6. The last step is to divide the amount of time she has with the amount of time it takes to do the the task. 3,000/234.6 is 12.7877 or 12.79
Pls help quick………… Math
I'll give the brainiest IF you answer this correctly.
Answer:
Um the North China Plain
Step-by-step explanation:
Is dis math...
What is the radian measure of an angle equal to 225 ?
What do we do with the 500
Answer:
Lol
Step-by-step explanation:
Freeeeeeee3ee points
please answer asap!!!!
=======================================================
Explanation:
VX is a midsegment and it is half as long compared to the parallel side UY. This means UY is twice as long compared to VX
UY = 2*(VX)
s = 2*(s-37)
s = 2s - 74
s-2s = -74
-s = -74
s = 74
This makes UY be 74 units long
So VX = (1/2)*UY = 0.5*74 = 37
Answer:
37
Step-by-step explanation:
The midsegment theorem states that a midsegment is half the measure of the line it is parallel to (the base). So VX is 1/2 of UY. So:
2(s-37)=s
2s-74=s
s=74
VX= 37
Convert the following repeating decimal into a fraction
_
0.16
Answer: 0.16 converted to a fraction is 4/25
The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let
x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget of
$500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of
new-release and classic movies bought?
O x = 8, y = 45
O x = 10, y = 22
O x= 16, y = 22
O x = 18, y = 18
Answer:
Step-by-step explanation:
he is right i got a 100 in the test
The number of new-release movies on DVD is 16 and the number of classic movies on DVD is 22 option third x= 16, y = 22 is correct.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
New-release movies on DVD for $20 and classic movies on DVD for $8
x - the number of new releases,
y - he number of classics.
20x + 8y = 500
or
5x + 2y = 125
Using trial and error method:
Plug x = 16 and y = 22
5(16) + 2(22) = 125
= 80 + 44
= 124
Nearest to 125
Thus, the number of new-release movies on DVD is 16 and the number of classic movies on DVD is 22 option third x= 16, y = 22 is correct.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
f(x) = –22 + 10x – 2
Find f(-5)
Answer:
f(-5) = -74 you have to change the x to -5 and then solve
Please can you help on this question?!!!!!
Answer: let's try 2.2 for the first one (sorry if i make you get it wrong but i tried)
Step-by-step explanation:
Janie and Jasmine are playing three games at an arcade. Each of the games requires either 2, 3, or 4 tokens. The girls plan to play as many games as they can before running out of tokens. Let m represent the number of games that require 2 tokens; n represent the number of games that require 3 tokens; and p represents the number of games that require 4 tokens.
Janie plays the 3-token game four times. Write two equivalent expressions to represent the number of tokens that Janie will need to play each of the three games at least one time.
12
3 + 3 + 3 + 3 = 12
3 x 4 = 12
Thanks!! <3