Answer: 18 feet
Step-by-step explanation:
Well, first we need to find the circumference because that is the outside of the pipe.
Circumference = 2 x Pi x Radius
Radius is half of diameter.
So we plug in all the values in to the formula.
2 x Pi x 6 inches = Circumference
12Pi = 37.69911184 inches
37 inches to feet = about 3 feet.
3 x 6 = 18 feet.
A mechanic charges $20.00 an hour, h for labor plus parts. If the parts cost $217.00, write a linear equation that will find the total cost, c.
Answer:
y=20x+217
Step-by-step explanation:
I need help plz
.........
.......
.......
Answer:
v=-60
Step-by-step explanation:
Answer:
:)
Step-by-step explanation:
3v/4 + 3 =7v/10
3v/4 + 3-3 =7v/10-3
3v/4= 7v/10 - 3
divideee (lol I don't wanna do the work)
v= --60
Hope this helps!
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).
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!
Which fraction is equivalent 5/20?
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
5/20
divide both sides of the fraction by 5
5/5 = 1
20/5 = 4
1/4
find the total surface area for this cuboid
Answer:
24cm
Step-by-step explanation:
surface= Ixb
= 6x4
= 24cm
Answer:
148cm(squared)
Step-by-step explanation:
5 x 6 = 30
5 x 4 = 20
6 x 4 = 24
30 + 24 + 20 = 74cm
74cm x 2 = 148cm(s)
What is the image of the point (8,-6)(8,−6) after a rotation of 180 counterclockwise about the origin?
Answer:
(-8, 6)(-8, 6)
Step-by-step explanation:
The formula for 180 degree rotation is (-x, -y)
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
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!!!!!
HURRY WILL MARK YOU BRAINLIEST
Answer:
we have:
x + 4 + x + 6 + x + 2 + x + 18 + x = 180.3
<=> 5x + 30 = 540
<=> 5x = 520
<=> x = 104
we also have: m<5 + x = 180
<=> m<5 = 180 - 104
<=> m<5 = 76
i need help plssssssssssssss
Answer:
It doesn't show what the drop down is. However, both of those are linear expressions.
Sergio's expressionn siplifies to: 9+3x (because two minuses cancel each other).
Leon's expression cancels to 12+6x (because 9+3=12)
Step-by-step explanation:
You have to show the dropdown to be able to answer exactly what they are looking for as an answer.
Calculate or Simplify the value of each expression a {-8} . 2/3
Answer:
Step-by-step explanation:
[tex](-8)*\frac{2}{3}=\frrac{(-8)*2}{3}= \frac{-16}{3}[/tex]
what is the answer to 4x+10=26
Answer:
x=4
Step-by-step explanation:
4x+10=26
Subtract 10 from both sides
4x=16
Divide by 4
x=4
What is the equation of a line with slope -3 and goes through point (2,-4)?
Answer:
y= -3x+2
Step-by-step explanation:
well there isn't really a step by step explanation but if you don't believe me you can use desmos graphing calculator to check my answer :))
Answer:
....
Step-by-step explanation:
This table represents the relationship between m, the amount of
money an employee has in the morning, and p, the amount of
money an employee has later in the day after they receive their
paycheck.
Which equation represents the relationship in the table?
a) p=m-160.25
b) p=160.25-m
c)p=m+160.25
d)p=200.25m+160.25
Answer:
bB
Step-by-step explanation:
The correct equation which represents the relationship in the table is,
⇒ p = m + 160.25
Where, m, the amount of money an employee has in the morning, and p, the amount of money an employee has later in the day after they receive their paycheck.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
This table represents the relationship between m, the amount of money an employee has in the morning, and p, the amount of money an employee has later in the day after they receive their paycheck.
Hence, By all options, we can check by substitute the given values.
So, By option 3;
The equation is,
⇒ p = m + 160.25
Substitute m = 200.25,
⇒ p = 200.25 + 160.25
⇒ p = 360.50
Thus, The correct equation which represents the relationship in the table is,
⇒ p = m + 160.25
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
is irrigation the artificial of application of water to the land or soil
I believe both is the answer to your question. In the definition of this word both land and soil are correct.
The definition of irrigation is:
"Irrigation is the artificial process of applying controlled amounts of water to land to assist in production of crops. Irrigation helps to grow agricultural crops, maintain landscapes, and revegetate disturbed soils in dry areas and during periods of less than average rainfall. "
Solve for c.
-5/8c = 20
A. c = -34
B. c = -32
C. c = 26
D. c = 28
Answer:
b
Step-by-step explanation:
solve for c by simplifying both sides of the equation then isolate the variable
What is the unit rate per year?
Answer:
3.6
Step-by-step explanation:
divide 36 by 10 be sure it's the easiest part
Answer:
Unit rate per year is :---
[tex] \frac{(50.4 - 7.2)}{(14 - 2)} = \frac{43.2}{12} = \boxed{3.6 \: feet \: per \: year} \\[/tex]
3.6 feet per year is the right answer.mZ1 = _º
140
160
80
what is M
Answer:
80
Step-by-step explanation:
What is the x-coordinate of point B? Write a decimal coordinate.
Answer:
-1.5
Step-by-step explanation:
Hope this helps! :D
You want to add lace around the outside of your circular kitchen table cloth. If the diameter of the table cloth is 16 cm, then which of the following measurements would represent how much lace you need?
The length of lace would be the circumference of the circle.
Circumference = diameter x Pi
Circumference = 16pi cm
Circumference = 50.24 cm ( approximately)
Answer:
The circumference of the circle.
Step-by-step explanation:
18 divided by 5 - (6-5)-1) pemdas
Answer:
The answer is 6
1. What is 8 turbo jets raised to the power of 4?*
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 :)
The volume of a golf ball is approximately 4in.3 what is the diameter round you answer to the nearest whole number
A 4 in
B 6 in
C 1 in
D 2 in
Answer:
D. 2 inches.
Step-by-step explanation:
Given the following data;
Volume of golf (sphere) = 4 in³
A golf ball is spherical in shape. Thus, to find its volume we would use the formula for the volume of a sphere.
[tex] Volume \; of \; a \; sphere = \frac {4}{3} \pi r^{3} [/tex]
Substituting into the equation, we have;
[tex] 4 = \frac {4}{3} * 3.142* r^{3} [/tex]
Cross-multiplying, we have;
[tex] 12 = 4 * 3.142* r^{3} [/tex]
[tex] 12 = 12.568 * r^{3} [/tex]
[tex] r^{3} = \frac {12.568}{12} [/tex]
[tex] r^{3} = 1.0473 [/tex]
Taking the cube root of both sides, we have;
Radius, r = 1.016 inches.
To find the diameter;
Diameter = radius * 2
Diameter = 1.016 * 2
Diameter = 2.03 ≈ 2 inches.
Answer:
the answer is 2.
Step-by-step explanation:
i just did this question on the exam
PLEASE DUE IN 20 MINUTES!!!!!!
Write the quadratic function in standard form.
f(x) = (x + 14)2
Answer:
Step-by-step explanation:
It's essential that you use the symbol " ^ " to indicate exponentiation.
Expanding f(x) = (x + 14)^2 results in x^2 + 28x + 196 (which is in standard form)
what is the inequality of 2.2m < 11
Answer:
m<5
Step-by-step explanation:
Answer:
m < 5
Step-by-step explanation:
Use the slider to change the scale factor. The rectangle is 20 by 16 and the scale factor is 0.25. What are the dimensions of the reduced rectangle?
Answer:
5 by 4
Step-by-step explanation:
sleepy haha sleepy sleepyy
Answer:
THe answer 5 by 4
Step-by-step explanation:
:)
Which of the following equations is equivalent to 2/3a - 7 = 1/3
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
Use synthetic division
1.
(2x3 - 5x2 + 3x + 7) = (x - 2)
Answer:
Step-by-step explanation: that should help
If I have a circle with the diameter of 2 what is the area of this circle?
Answer:
3.14
Step-by-step explanation:
Hope this helps!
Make sure to stay safe, or else. :> ^-^
Answer:
3.14 would be the answer
find the equation of the line that is parallel y= 2x+10 and passes through the point (6,-4)
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
plz answer only if correct :)
Answer: -21
Step-by-step explanation:
11-32
