Answers
Answer:
[tex]r=\sqrt{\dfrac{3V}{\pi h}}[/tex]
Step-by-step explanation:
The formula for the volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]
Where
r is radius of cone and h is its height
We need to solve the above formula for r.
Cross multiplying both sides of the given formula
[tex]3V=\pi r^ 2h[/tex]
Dividing both sides by πh.
[tex]\dfrac{3V}{\pi h}=\dfrac{\pi r^2 h}{\pi h}\\\\r^2=\dfrac{3V}{\pi h}\\\\r=\sqrt{\dfrac{3V}{\pi h}}[/tex]
So, the formula for r is [tex]\sqrt{\dfrac{3V}{\pi h}}[/tex]
Related Questions
Write a polynomial equation with integer coefficients that has the given roots.
x = -1 x=-6
Answers
Polynomial equation with integer coefficients that has roots x= -1 and
x = -6 is equal to x² +7x +6=0.
As given in the question,
Given roots for the polynomial equation with integer coefficient are
x = -1 ⇒ x + 1=0
x = -6 ⇒ x + 6 =0
Polynomial equation is
( x + 1) ( x + 6) =0
⇒ x² + 1x + 6x + 6 =0
⇒ x² + 7x + 6 =0
Therefore, polynomial equation with integer coefficients that has roots x= -1 and x = -6 is equal to x² +7x +6=0.
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The study of Euclidean geometry has led to the development and acceptance
of other non-Euclidean types of geometry.
A. True
B. False
Answers
Answer:
True
Step-by-step explanation:
A survey of 541 adults aged 18-24 year olds was conducted in which they
were asked what they did last Friday night. It found:
181 watched TV
• 180 hung out with friends
• 150 ate pizza
• 46 watched TV and ate pizza, but did not hang out with friends
• 36 watched TV and hung out with friends, but did not eat pizza
• 29 hung out with friends and ate pizza, but did not watch TV
• 25 watched TV, hung out with friends, and ate pizza
How may 18-24 year olds did not do any of these three activities last Friday
Answers
Answer: 30
Step-by-step explanation:
181+180+150=
361+150=511
541-511=30 18-24 year olds
**46 of 181 students that watched TV ate pizza and the same 46 students of the 150 students that ate pizza watched TV.
convert into power notation (-2197)
Answers
Does anyone know where the a in front of the parentheses for the LCD : a(a+5)(a-6) came from?
Thank you!
Answers
Answer:
See below
Step-by-step explanation:
If you factor [tex]a^2-a-30[/tex] you get [tex]\left(a^2+5a\right)+\left(-6a-30\right)[/tex]
= [tex]a(a+5)-6(a+5)[/tex]
= [tex]a(a+5)(a-6)[/tex]
That's where the a comes in
Not sure if that answers your question
Which measurement is closest to 270 cm: 9ft, 680in. or 270 in.?
Answers
The measurement 9 feet is closest to 270 centimeters.
What measure is equivalent to another measure?
In this problem we have a case of unit conversions, in which we must find what measure in a unit offers the best approximation to other represented in other unit. Please notice that a centimeter equals 25 / 762 feet and 50 / 127 inches. Now we proceed to calculate the equivalent quantities in feet and inches by simple rule of three:
x = 270 cm × (25 / 762 feet / cm)
x ≈ 8.858 feet
x = 270 cm × (50 / 127 inches / cm)
x ≈ 106.299 inches
The measurement 9 feet is closest to 270 centimeters.
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help i need help i this please
Answers
Answer:
-∞ and -∞ both answers
Step-by-step explanation:
From the graph it is clear that as x becomes smaller and smaller, y gets smaller and smaller. So as x → -∞, y → -∞
On the positive x side, as x gets bigger and bigger, y gets smaller and smaller so
as x → +∞, y → -∞
The following expression gives an approximate value of the total average credit card debt in a U.S. household (in dollars)
t
years after 1995.
417
t
+
5850
Use this expression to predict what the total average credit card debt was or will be in the year 2014.
Answer: In the year 2014, the total average credit card debt for a U.S. household will be (or was)
dollars.
Answers
In the year 2014, the total average credit card debt for a U.S. household was 13,773 dollars.
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
How to predict the total average credit card debt in 2014?In order to predict the total average credit card debt in 2014, we would determine the number of years (t) from 1995 to 2014 and then substitute the value into the given expression as follows:
Number of years, t = 2014 - 1995
Number of years, t = 19 years.
Substituting the years into the expression, we have;
Total average credit card debt = 417t + 5850
Total average credit card debt = 417(19) + 5850
Total average credit card debt = 7,923 + 5850
Total average credit card debt = $13,773.
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Amy paid $66.94 for a pair of running shoes during a 15%-off sale. What was the regular price?
...
Answers
$66.94/85 = $0.78752941 x 100 = $78.75
Homework 4.3 Partial Derivatives
Answers
If Partial Derivatives f(x,y) -8e^4x sin(7y) is 32 e^(4 x) sin(7 y) and
56 e^(4 x) cos(7 y)
Partial Derivatives
d/dx(8 e^(4 x) sin(7 y))
Factor out constants:
= 8 (d/dx(e^(4 x))) sin(7 y)
Using the chain rule, d/dx(e^(4 x)) = (d e^u)/(du) (du)/(dx), where u = 4 x and d/(du) (e^u) = e^u:
= e^(4 x) (d/dx(4 x)) 8 sin(7 y)
Factor out constants:
= 4 (d/dx(x)) 8 e^(4 x) sin(7 y)
Simplify the expression:
= 32 e^(4 x) (d/dx(x)) sin(7 y)
The derivative of x is 1:
= 32 e^(4 x) sin(7 y)
Simplify the expression:
32 e^(4 x) sin(7 y)
Part 2:
Partial Derivatives
d/dy(8 e^(4 x) sin(7 y))
Factor out constants:
= 8 e^(4 x) (d/dy(sin(7 y)))
Using the chain rule, d/dy(sin(7 y)) = (dsin(u))/(du). (du)/(dy), where u = 7 y and d/(du) (sin(u)) = cos(u):
= cos(7 y) (d/dy(7 y)) 8 e^(4 x)
Factor out constants:
= 7 (d/dy(y)) 8 e^(4 x) cos(7 y)
Simplify the expression:
= 56 e^(4 x) cos(7 y) (d/dy(y))
The derivative of y is 1:
= 56 e^(4 x) cos(7 y)
Simplify the expression:
56 e^(4 x) cos(7 y)
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add 1/2 + 1/4 + 1 1/4
Answers
Answer:
Final answer is 2
Step-by-step explanation:
1/4 = 0.25
1 1/4 = 1.25
1.25 + 0.25 = 1.5 + 0.5 = 2
Lucy paid $120 for an item at the store that was 20 percent off the original price. what was the original price?
Answers
Answer:
$150
Step-by-step explanation:
Given the following question:
Lucy paid 120 dollars for an item
The item was 20% off
What was the original price? To find the original price we will need to use the formula to calculate percentages.
20% of 150
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{20\times150}{100}[/tex]
[tex]20\times150=3000[/tex]
[tex]3000\div100=30[/tex]
[tex]150-30=120[/tex]
[tex]=120[/tex]
Which means our original price is "$150."
Hope this helps.
Combine like terms to simplify the expression:
12x-3(3x-5)+24
Answers
Answer:
3(x+13)
Step-by-step explanation:
use the distributive property to multiply -3 by
3x -5
12x -9x + 15 + 24
then
combine 12x and -9x to get 3
add 15 + 24 to get 39
Find the area of the shaded region. Help please!
Answers
Answer:
Around 73cm
Step-by-step explanation:
314.16 is the area of the whole circle
shaded is 85/365 (around 23 percent)
a map has a scale of 1:1000.
i)
What distance on the ground (in meters) is represented on the map as
(a) 2cm (b) 7.6cm?
ii)
What distance on the map represents
(a) 100m (b) 2.6km?
Answers
(a) The distance on the ground represented 2 cm on the map is 2000 cm.
(b) The distance on the ground represented 7.6 cm on the map is 7600 cm
It is a technique wherever we discover worth|the worth} of one unit from the worth of multiple units and also the value of multiple units from the worth of one unitIt is given that a map has a scale of 1:1000 which means that 1 cm of the map represents 1000 cm on the ground .
i) (a) Using unitary method , we get
1 cm on map is equivalent to = 1000 cm on the ground
2 cm on map is equivalent to = 2 × 1000
= 2000 cm on the ground
(b) Using unitary method , we get
1 cm on map is equivalent to = 1000 cm on the ground
7.6 cm on map is equivalent to = 7.6 × 1000
= 7600 cm on the ground
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What would happen to a cell if the transport of materials across its membrane could not take place
Answers
If our cells couldn't control what crossed their membranes, either no molecules would make it across, or they'd be travelling willy-nilly and the internal environment would always be in flux.
PLEASE HELP!
The data show what an apartment resident paid per month for her electric bill during a calendar year.
$56, $72, $120, $120, $122, $124, $128, $135, $152, $168, $183, $200
Use the data to answer the questions.
What is 1.5 ∙ IQR?
A: 40
B: 60
C: 80
What is the lower boundary?
A: 60
B: 66
C: 120
What is the upper boundary?
A: 160
B: 220
C: 251.5
Which sentence describes the outliers?
A: There are no outliers.
B: The outlier is less than the lower boundary.
C: The outlier is greater than the upper boundary.
Answers
Using the median concept and the quartiles, we have that:
1.5 IQR is: B. 60.The lower boundary is: A. 60.The upper boundary is: B. 220.The sentence that describes the outliers is: B: The outlier is less than the lower boundary.What are the median and the quartiles of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set.The third quartile is the median of the second half of the data-set.The interquartile range is the difference between the third quartile and the first quartile.Values that are more than 1.5 IQR from either quartile are considered outliers.In this problem, there are 12 elements, hence:
Q1 is the 0.25 x 12 = 3rd element.Q3 is the 0.75 x 12 = 9th element.Thus, Q1 = 120, Q3 = 160 and the IQR is:
IQR = 160 - 120 = 40.
1.5 IQR is: 1.5 x 40 = 60.
The boundaries are:
120 - 60 = 60. (lower).160 + 60 = 220(upper).There is a value less than 60 in the data set, hence the sentence that describes the outliers is: B: The outlier is less than the lower boundary.
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Answer:
Use the data to answer the questions.
What is 1.5 ∙ IQR? ✔ 60
What is the lower boundary? ✔ 60
What is the upper boundary? ✔ 220
Which sentence describes the outliers? ✔ The outlier is less than the lower boundary.
Step-by-step explanation:
edge 2023
The sum of
5
9
and six times a number is equal to
2
subtracted from seven times the number. Find the number.
Answers
ANSWER:
x=61
STEPS FOR SOLVING LINEAR EQUATION :
59+6x=7x−2Subtract 7x from both sides.
59+6x−7x=−2Combine 6x and −7x to get −x.
59−x=−2Subtract 59 from both sides.
−x=−2−59Subtract 59 from −2 to get −61.
−x=−61Multiply both sides by −1.
x=61Hope it helps!!!
;}
Answer:
answer to the question is x=61
if you add all the prime numbers between 2 and 33 and then multiply it by itself y
Answers
Answer:
24964
Step-by-step explanation:
hope this works - btw this is not including 2 and 33
What is 8x99 in expression form
Answers
In expression form, 8(99) is 8 ( 100 - 1 ) = 792, by basic algebra.
What is basic algebra?Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.
Now, Given:
8 x 99
We know 99 = 100 - 1.
Thus, by basic algebra, 8 ( 99) = 8 (100 - 1)
8 ( 100 - 1) = 8(100) - 8(1)
8( 100 - 1) = 800 - 8 = 792.
Hence, In expression form, 8(99) is 8 ( 100 - 1 ) = 792, by basic algebra.
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4. Randall's monthly water bill from April to July is listed in the table below. What was the percent
increase in his bill from May to July?
Answers
The percent increase in his bill from May to July is 32.29%.
What is the percent increase in the bill?
Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentages are a measure of frequency. The sign used to represent percentages is %.
The percent increase in his bill from May to July = (bill in July / bill in May)^(1/number of months) - 1
(136.50 / 78)^(1/2) - 1 = 32.29%
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Dinesh has a goal of keeping his administrative tasks below 10% of his weekly hours. In which week(s) did he meet this goal? Be sure to show your work, list the percentages in the chart below, and answer the question. Administrative Hrs Total Hours
Answers
Dinesh met his goal of keeping administrative tasks below 10% of his weekly hours in Weeks 2, 3, and 4.
How are the percentages determined?The percentages of administrative tasks are computed by dividing the administrative hours worked by the total hours worked each week.
Percentages are ratios or portions of a variable in the whole number.
Data and Calculations:Administrative Hrs Total Hours Worked Admin % Goal Met?
Week 1 4.25 40 hours 10.625% No
Week 2 2.57 40 hours 6.425% Yes
Week 3 3.83 40 hours 9.575% Yes
Week 4 3.40 40 hours 8.500% Yes
Thus, Dinesh met his goal of keeping administrative tasks below 10% of his weekly hours in Weeks 2, 3, and 4.
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Question Completion:Administrative Hrs Total Hours Worked Admin % Goal Met?
Week 1 4.25 10 hours
Week 2 2.57 8 hours
Week 3 3.83 8 hours
Week 4 3.40 8 hours
12. Ben and Jerry invest $50 000 and $75 000 respectively in the same bank.
If the rate is 8%, how many whole years will it take for Ben to cross the amount of money that Jerry would have in 2 years?
Answers
Ben: $50000 x 1.08 = $54000 x 1.08 = $58320 x 1.08 = $62.985.6 x 1.08 = $68024.45 x 1.08 = $73466.40 x 1.08 = $79343.72 x 1.08 = $85691.21 x 1.08 = $92546.51 after 8 years.
It would take 7 whole years to cross the amount that Jerry would have in 2 years.
Convert the following quantities to the indicated units.
24 grams per cubic centimeter to how many pounds per cubic inch?
Answers
24 grams per cubic centimeters equals 0.867 pounds per cubic inches
How to convert the quantities to the indicated units?The quantity (x) is given as:
x = 24 grams per cubic centimeters
1 gram equals 0.00220462 pounds
So, we have:
x = 24 * 0.00220462 pounds per cubic centimeters
Evaluate
x = 0.05291088 pounds per cubic centimeters
1 cubic centimeters equals 0.0610237 cubic inches
So, we have
x = 0.05291088 pounds per 0.0610237 cubic inches
Rewrite as
x = 0.05291088/0.0610237 pounds per cubic inches
Evaluate
x =0.867 pounds per cubic inches
Hence, 24 grams per cubic centimeters equals 0.867 pounds per cubic inches
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find derivative from first principle:
x² tanx
Answers
Answer:
f'(x) = 2.x.tan(x) + x²/cos²(x)
Step-by-step explanation:
f(x) = x².tan(x)
=> f'(x) = (x²)' . tan(x) + x². (tan(x))'
= 2x.tan(x) + x² . 1/cos²(x)
=> f'(x) = 2.x.tan(x) + x²/cos²(x)
The speed of the wind, w, is at most 56 miles per hour. The translation is
Answers
Answer:
56mph
Step-by-step explanation:
i hope this is the answer you were looking for
Question 5
A swimming pool has a length of 30 ft, a width of 12 ft, and a uniform depth of 8 ft. How many gallons of water does it hold?
(Hint: Find the volume in cubic ft and then use dimensional analysis to convert to gallons. 7.5 gal - 1 cubic ft.)
Round your answer to the nearest whole gallon, but do not include a unit of measure with your response.
Answers
1,718 gallons
Because 12-Feet by 30-Inches and able to hold up to 1,718 gallons of water!
Solve −3 = x/4 + 5 using the replacement set {−32, 8, 32} .
A. −32
B. 8
C. 32
D. I don't know.
Answers
Answer:
A
Step-by-step explanation:
substitute the values from the replacement set into the right side of the equation to find which values of x make the equation true.
x = - 32
[tex]\frac{-32}{4}[/tex] + 5 = - 8 + 5 = - 3 ← True
x = 8
[tex]\frac{8}{4}[/tex] + 5 = 1 + 5 = 6 ≠ - 3 ← False
x = 32
[tex]\frac{32}{4}[/tex] + 5 = 8 + 5 = 13 ≠ - 3 ← False
the solution is therefore x = - 32
Explain how to do -12 - (-98) + 7 - 3
Answers
Step by step explanation:
Since we know a negative minus a negative equals a positive then
-12 - -98 = 86
Then 86 + 7 = 93
And finally 93 - 3 = 90
Hope this helps mate
In A PQR, QT is
an altitude...QT=
(1) 10
(3) 4
(2) 8
(4) 6
Answers
Answer:
20 psectacles and scranbled