What proportion can be used when there is a %, the word "is" and the "of" in a problem?
Answers
Answer:
C. is / of = % / 100Step-by-step explanation:
We can interpret this as:
x% of y is zCalculation is:
x*y/ 100 = zTranslate this into the given format:
% * of / 100 = is ⇒ % / 100 = is / ofThis matches option C
Related Questions
A light bulb is designed by revolving the graph of:
[tex]y = \frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}[/tex]
Over the interval 0 ≤ x ≤ 1/3 about the x-axis, where x and y are measured in feet. Find the surface area of the bulb and use the result to approximate the amount of glass needed to make the bulb. (Glass is 0.015 inch thick).
Answers
Answer:
[tex]\displaystyle 0.251327 \ in. \ of \ glass[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)FactoringCalculus
Differentiation
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
Integration Property: [tex]\displaystyle \int\limits^a_b {cf(x)} \, dx = c \int\limits^a_b {f(x)} \, dx[/tex]Fundamental Theorem of Calculus: [tex]\displaystyle \int\limits^a_b {f(x)} \, dx = F(b) - F(a)[/tex]Area between Two CurvesVolumes of RevolutionArc Length Formula: [tex]\displaystyle AL = \int\limits^a_b {\sqrt{1+ [f'(x)]^2}} \, dx[/tex]Surface Area Formula: [tex]\displaystyle SA = 2\pi \int\limits^a_b {f(x) \sqrt{1+ [f'(x)]^2}} \, dx[/tex]Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = \frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}\\Interval: [0, \frac{1}{3}][/tex]
Step 2: Differentiate
Basic Power Rule: [tex]\displaystyle y' = \frac{1}{2} \cdot \frac{1}{3}x^{\frac{1}{2} - 1} - \frac{3}{2} \cdot x^{\frac{3}{2} - 1}[/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{1}{6}x^{\frac{-1}{2}} - \frac{3}{2}x^{\frac{1}{2}}[/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{1}{6\sqrt{x}} - \frac{3\sqrt{x}}{2}}[/tex]Step 3: Integrate Pt. 1
Substitute [Surface Area]: [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {(\frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}) \sqrt{1+ [\frac{1}{6\sqrt{x}} - \frac{3\sqrt{x}}{2}}]^2}} \, dx[/tex][Integral - √Radical] Expand/Add: [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {(\frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}) \sqrt{\frac{81x^2+18x+1}{36x}} \, dx[/tex][Integral - √Radical] Factor: [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {(\frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}) \sqrt{\frac{(9x + 1)^2}{36x}} \, dx[/tex][Integral - Simplify]: [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {-\frac{|9x + 1|(3x - 1)}{18}} \, dx[/tex][Integral] Integration Property: [tex]\displaystyle SA = \frac{- \pi}{9} \int\limits^{\frac{1}{3}}_0 {|9x + 1|(3x - 1)} \, dx[/tex]Step 4: Integrate Pt. 2
[Integral] Define: [tex]\displaystyle \int {|9x + 1|(3x - 1)} \, dx[/tex][Integral] Assumption of Positive/Correction Factors: [tex]\displaystyle \frac{9x + 1}{|9x + 1|} \int {(9x + 1)(3x - 1)} \, dx[/tex][Integral] Expand - FOIL: [tex]\displaystyle \frac{9x + 1}{|9x + 1|} \int {27x^2 - 6x - 1} \, dx[/tex][Integral] Integrate - Basic Power Rule: [tex]\displaystyle \frac{9x + 1}{|9x + 1|} (9x^3 - 3x^2 - x)[/tex][Expression] Multiply: [tex]\displaystyle \frac{(9x + 1)(9x^3 - 3x^2 - x)}{|9x + 1|}[/tex]Step 5: Integrate Pt. 3
[Integral] Substitute/Integral - FTC: [tex]\displaystyle SA = \frac{- \pi}{9} (\frac{(9x + 1)(9x^3 - 3x^2 - x)}{|9x + 1|})|\limits_{0}^{\frac{1}{3}}[/tex][Integrate] Evaluate FTC: [tex]\displaystyle SA = \frac{- \pi}{9} (\frac{-1}{3})[/tex][Expression] Multiply: [tex]\displaystyle SA = \frac{\pi}{27} \ ft^2[/tex]It is in ft² because it is given that our axis are in ft.
Step 6: Find Amount of Glass
Convert ft² to in² and multiply by 0.015 in (given) to find amount of glass.
Convert ft² to in²: [tex]\displaystyle \frac{\pi}{27} \ ft^2 \ \div 144 \ in^2/ft^2 = \frac{16 \pi}{3} \ in^2[/tex]Multiply: [tex]\displaystyle \frac{16 \pi}{3} \ in^2 \cdot 0.015 \ in = 0.251327 \ in. \ of \ glass[/tex]And we have our final answer! Hope this helped on your Calc BC journey!
Please help me. I really don't know dis
Answers
Answer:
I would do C because 2/3 is close to a whole so then you would get -3 and 1/4 is close to 0 so just keep 18 the same which would be -18 so -18 divided by -3 would be correct
Step-by-step explanation:
Juanita is riding her bicycle on a trail at the rate of 0.3 kilometers per
minute. Michelle is 11.2 kilometers behind Juanita when she starts traveling
on the same trail at a rate of 0.44 kilometers per minute. Let d represent
the distance in kilometers the bicyclists are from the start of the trail and t
represent the time in minutes. The situation can be represented by the
following system; d=0.3t+11.2 and d=0.44t. How many minutes will it take
Michelle to catch up to Juanita? How far will they be from the start of the
trail? Use the substitution method to determine your answer.
Answers
Answer:
It will take Michelle 80 minutes.
They're 35.20 kilometers away from their starting point.
Step-by-step explanation:
We have to find how many minutes it would take Michelle to catch up to Juanita.
We know that Michelle's movement is represented as: d = 0.44t
Juanita's movement is represented as: d = 0.3t + 11.2
To find how many minutes it would take for Michelle to catch up, we will have to solve both equations together and solve for "t", or time.
Solve:
0.44t = 0.3t + 11.2
Subtract 0.3t from both sides.
0.14t = 11.2
Divide both sides by 0.14
t = 11.2/0.14
t = 80
This means that it would take 80 minutes for Michelle to catch up.
To find how far they are, multiply 0.44 by 80.
0.44 · 80 = 35.20
This means that they're 35.20 kilometers away from their starting point.
18 divided by 5 - (6-5)-1) pemdas
Answers
Answer:
The answer is 6
Richard learned a total of 30 appetizer recipes over the course of 6 weeks of culinary school. After 7 weeks of culinary school, how many total appetizer recipes will Richard know? Assume the relationship is directly proportional.
Answers
He learns 5 recipes a weeks so 7x5=35
Richard will know 35 recipes in all
Which expression is equivalent to 3 the 5th power?
Answers
Answer:
The expression equivalent to 3 to the 5th power is 3^5.
The number 3 raised to the 5th power is represented through the expression 3 ^ 5, which means that the number 3 is multiplied by itself 5 times (3x3x3x3x3), which results in the number 243, which is can be corroborated by the following calculations:
3x3 = 9
9x3 = 27
27x3 = 81
81x3 = 243
The solution is: The expression equivalent to 3 to the 5th power is 3^5.
Here, we have,
The number 3 raised to the 5th power is represented through the expression 3 ^ 5,
which means that the number 3 is multiplied by itself 5 times (3x3x3x3x3),
which results in the number 243,
which is can be corroborated by the following calculations:
3x3 = 9
9x3 = 27
27x3 = 81
81x3 = 243
Hence, The solution is: The expression equivalent to 3 to the 5th power is 3^5.
To learn more on Expression click:
brainly.com/question/14083225
#SPJ6
help i need help fast
Answers
Answer:
Vertical, Horizontal, and Diagonal
Step-by-step explanation:
5 lines of Symmetry.
It has four lines of symmetry and four sides. A regular pentagon has 5 sides and 5 lines of symmetry. The number of lines of symmetry in a regular polygon is equal to the number of sides.
In the following equation, what is the y-intercept? y = -3.1 +7 03 o7
Answers
Answer:
the y-intercept, b, is 7
Step-by-step explanation:
Compare the given y = -3.1 +7 to y = mx + b. I must assume that you meant
y = -3.1x +7. It becomes evident that the slope, m, is -3.1 and the y-intercept, b, is 7.
Jocelyn walks her dog 5 days each week.Each Walk is 2 1/4 miles long. What is the total number of miles that Jocelyn walks her dog each week
Answers
Answer:the answer is c
Step-by-step explanation:
what is the answer to 4x+10=26
Answers
Answer:
x=4
Step-by-step explanation:
4x+10=26
Subtract 10 from both sides
4x=16
Divide by 4
x=4
Each month Javier takes his recycling to the local recycling center where he separates the glass bottles into different
colors. He would like to determine the proportion of glass his household recycles that is clear glass, so he mixes up
his container and randomly grabs 10 glass items and determines the proportion that are clear glass.
The population is
The sample is
The parameter is the proportion of
The statistic is the proportion of
Answers
Answer:
The population is: all glass recycled
The sample is: the 10 selected glass items.
The parameter is the proportion of: all his glass that is clear
The statistic is the proportion of: the selected glass that is clear
The population of a distribution is the entire group, while the sample is the selected group from the entire group.
The population is all glass recycled The sample is the 10 selected glass items. The parameter is the proportion of all his glass that is clear The statistic is the proportion of the selected glass that is clearThe population
From the question, we understand that glasses are recycled and then separated into colors.
This means that, the population is all glass recycled
The sample
From the question, we understand that he randomly grabs 10 glass items, and then determine the proportion of clear glasses.
This means that, the sample is the 10 selected glass items.
The parameter
This is the value that summarizes all the glasses that are being recycled.
So, the parameter is the proportion of all his clear glasses
The statistic
This is the value that summarizes the selected glasses.
So, the statistic is the proportion of the selected glass that is clear
Read more about samples and population at:
https://brainly.com/question/15683425
What is the length and midpoint segment of AD?
Answers
Answer:
length 7 and midpoint 3.5
Step-by-step explanation:
length: -7-0=-7 but length is never a negative so its 7
midpoint: 7/2= 3.5
Question 10(Multiple Choice Worth 1 points)
(05.02 MC)
The table below shows data from a survey about the amount of time students spend doing homework each week. The students were in either college or high school:
High Low Q1 Q3 IQR Median Mean σ
College 50 6 8.5 17 8.5 12 15.4 11.7
High School 28 3 4.5 15 10.5 11 10.5 5.8
Which of the choices below best describes how to measure the spread of these data?
(Hint: Use the minimum and maximum values to check for outliers.)
Both spreads are best described by the IQR.
Both spreads are best described by the standard deviation.
The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
The college spread is best described by the standard deviation. The high school spread is best described by the IQR.
Answers
Answer:
The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
Step-by-step explanation:
The college data has large outliers which skews the data, therefore the IQR is better measure of spread.
The high school data does not appear to be skewed so the standard deviation is fine as a measure of spread.
PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG
Answers
Answer:
120 is too steep, so it is either 150 or 160. According to an online protractor, it appears to be 150 degrees.
Step-by-step explanation:
Write the equation of the directrix of the parabola shown below.
y2 + 16y+ 4x + 4 = 0
Answers
Answer:
x = 16 is the answer
Step-by-step explanation:
PLS HELP: I am unsure how to calculate this into final numbers.
Cal Amity decided to survey 880 inhabitants of the Kingdom so that he could have a confidence level of 95% and a margin of error of 3%. He found that 72% of his sample answered "yes" to the second survey question, which was, "Have you done anything, or will you do anything, to prepare your kitchen for Gourmando's visit?"
Mr. Amity can infer that, most likely, between _[blank A]_ and _[blank B]_ inhabitants of the Kingdom have done, or will do something, to prepare their kitchen before Gourmando's visit.
Options:
blank A: 3450
blank B: 5000
blank A: 0
blank B: 300
blank A: 3600
blank A: 150
blank B: 3600
blank B: 3750
Answers
Complete question :
Cal Amity decided to survey 880 inhabitants of the Kingdom so that he could have a confidence level of 95% and a margin of error of 3%. He found that 72% of his sample answered "yes" to the second survey question, which was, "Have you done anything, or will you do anything, to prepare your kitchen for Gourmando's visit?"
Mr. Amity can infer that, most likely, between _[blank A]_ and _[blank B]_ inhabitants of the Kingdom have done, or will do something, to prepare their kitchen before Gourmando's visit.
If a population is 5000
Answer:
blank A: 3450
blank B: 3750
Step-by-step explanation:
Number of inhabitants surveyed = 880
Population size = 5000
Error margin = 3%
Percentage that answered 'yes' = 72%
The confidence interval :
Mean ± Error margin
Lower Bound = 72% - 3% = 69% = 0.69
Upper bound = 72% + 3% = 75% = 0.75
Since the question want us know the overall inhabitants of the kingdom who fall between this interval :
Blank A = lower boundary = 0.69 * 5000 = 3450
Blank B = upper boundary = 0.75 * 5000 = 3750
find the equation of the line that is parallel y= 2x+10 and passes through the point (6,-4)
Answers
Answer:
The equation of the parallel line to the given line
y = 2 x - 16
Step-by-step explanation:
Step(i):-
Given equation of the straight line y = 2 x +10
2x - y + 10 =0
The equation of the parallel line to the given line is
a x + by + k=0
The equation of the parallel line to the given line is
2x - y + k=0
Step(ii):-
Given point ( 6,-4)
The equation of the parallel line to the given line is
2x - y + k=0
This line passing through the point ( 6,-4)
2(6) - (-4)+ k=0
12 + 4 +k =0
16 + k=0
k = -16
Final answer:-
The equation of the parallel line to the given line
y = 2 x - 16
(Please help) Based on the equation you wrote in part 1, complete the table below (equation is f = 1000t)
Number of tigers | Area (Square feet)
1 :
2 :
3 :
4 :
Answers
Answer:
1,000
2,000
3,000
4,000
Step-by-step explanation:
just took the test got it right
Answer: I got the sample answer correct
Step-by-step explanation:
the edmentum answer
How much is 2000mg in grams?
Answers
Answer:
2 grams
Step-by-step explanation:
1. What is 8 turbo jets raised to the power of 4?*
Answers
Answer:
4096
Step-by-step explanation:
Hey there!!!!
8 raised to the power of 4 = [tex]8^{4}[/tex]
[tex]8^{4}[/tex] = 8*8*8*8
if we multiply:
8*8=16
16*8= 128
128*8 = 4096
hope this helps :)
what is +x 4 for =x 3
Answers
Answer:
did u mean "what is x + 4 for x = 3"? Cuz if so then it is 7
Step-by-step explanation:
x + 4
Substitute the x with 3 since it was already given
3 + 4
7
Please Please Help ME!!! its so hard 50 points
Brainiest for correct answer.
Answers
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Step-by-step explanation:
n the rectangle P Q R S , the side P Q is of length 2 and the side Q R is of length 4
Please i need the answer ASAP
Answers
here u go
In the rectangle PQRS , the side PQ is of length 2CM and the side QR is of length 4CM Points T and U lie inside the rectangle so that Triangle PQT and TRIANGLE RSU are equilateral triangles.PLS MARK ME AS BRAINLIST!!!!!
A steel ball is dropped from a height and hits the ground 6.7 seconds after its release. From what height (in feet) was the ball released?
Answers
Step-by-step explanation:
Acceleration = g = 32.17ft/s²
Initial velocity = 0ft/s
Time taken = 6.7s
Using Kinematics,
we have s = ut + 0.5at².
=> s = (0)(6.7) + 0.5(32.17)(6.7)²
=> s = 722.06ft.
Calculate or Simplify the value of each expression a {-8} . 2/3
Answers
Answer:
Step-by-step explanation:
[tex](-8)*\frac{2}{3}=\frrac{(-8)*2}{3}= \frac{-16}{3}[/tex]
Your friend has s pennies. You have 11 pennies. You and your friend have a total big 23 pennies. Which equation can you use to find s?
A.) s + 11 = 23
B.) 11s = 23
C.) s - 11 = 23
D.) s divided by 11 = 23
If correct I will mark brainlist ❤️
Answers
Answer:
A.
Step-by-step explanation:
The answer would be a because if you have s + 11 you will get 23
but if you were to find s it would be 12
What is the inverse of the following statement? If two triangles are congruent, then their corresponding angles are congruent.
Answers
Answer:
If two triangles are not congruent, then their corresponding angles are not congruent.
Step-by-step explanation:
The inverse is when both the hypothesis and conclusion are negative (if not p, then not q).
Answer:
If two triangles are not congruent, then their corresponding angles are not congruent.
B.
-2x + 8 = y
3x - y = 22
How do I solve it
Answers
answer
x=6, y=-2
explanation
-2x + 8 = y -------equ 1
3x - y = 22 -------equ 2
u can use any of the simultaneous equation method
using elimination method
rearrange first from -------equ 1
-2x+8=y
-y-2x=-8
multiple through by -1
y+2x=8 -------equ 3
rearrange first from -------equ 2
3x-y=22
-y+3=22 ------equ 4
equate 3 and 4, adding them together
y+2x=8 -------equ 3
-y+3=22 ------equ 4
0+5x=30
5x=30
x=6------equ 5
replace 6 for x in any equation
using -------equ 3
y+2x=8
y+2(5)=8
y+10=8
y=8-10
y=-2
Answer:
(x, y)=(6, -4)
Step-by-step explanation:
-2x+8=y
3x-y=22
Substitute the given value of y into the equation 3x-y=22
3x-(-2x=8)=22
Solve the equation for x
x=6
Substitute the given value of x into the equation 3x-y=22
3x6-y=22
Solve the equation for y
y=-4
The possible solution of the system is the ordered pair (x, y)
(x, y)=(6, -4)
Check if the given ordered pair is the solution of the system of equations
-2x6+8=-4
3x6-(-4)=22
Simplify the equalities
-4=-4
22=22
Since all of the equalities are true, the ordered pair is the solution of the system
(x, y)=(6, -4)
Which of the following equations is equivalent to 2/3a - 7 = 1/3
Answers
Answer:
a = 11
Step-by-step explanation:
Given the equation 2/3a - 7 = 1/3
We are to find the value of a that satisfies the equation
2/3 a = 1/3 + 7
2/3 a = (1+21)/3
2/3 a = 22/3
2a = 22
a = 22/2
a = 11
Hence the value of a that satisfies the equation is 11
16 can be written as:
O
A. 22
B. 44
c. 24
D. 82
E. 28
Answers
Answer:
2^4
Step-by-step explanation:
2^2 = 2 * 2 = 4
4^4 = 4*4*4*4 = 256
2^4 = 4*4 = 16
8^2 = 8*8 = 64
2^8 = 2*2*2*2*2*2*2*2 = 256
Hence, 16 can be written as 2^4
Thus, Answer is [C] 2^4
[RevyBreeze]
