Answer:
top right
Step-by-step explanation:
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.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!!!!!
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!
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:
:)
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)
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
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
please help it due asap
thanks
Answer:
C) AC=11.5
Step-by-step explanation:
3x-5=x+6
2x=11
x=5.5
AC=3(5.5)-5
AC=11.5
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:
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
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
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
what is the answer for 3y+6=12
Answer:
y=2
Step-by-step explanation:
12 - 6 = 6
6 also = 3y
6 / 3 = 2
y = 2
CHECK:
(3*2=6) + 6 = 12
6+6 = 12
Correct
Answer:
3y= 12-6 = 3y= 6 divide both sides by 3, the answer is y= 2
18 divided by 5 - (6-5)-1) pemdas
Answer:
The answer is 6
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
Please help which one isnt a function pleasee
Answer:
the answer is B
Step-by-step explanation:
B is not a function it is a chart
(goin off off what i was told in middle school)
what is the inequality of 2.2m < 11
Answer:
m<5
Step-by-step explanation:
Answer:
m < 5
Step-by-step explanation:
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 :)
Evaluate the expression when y= 4 . Y/3 −8=
Answer:
-20/3
Step-by-step explanation:
(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 :
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
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:
mZ1 = _º
140
160
80
what is M
Answer:
80
Step-by-step explanation:
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)
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!
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 x-coordinate of point B? Write a decimal coordinate.
Answer:
-1.5
Step-by-step explanation:
Hope this helps! :D
15(2x+2)=10(3x+4) equations with special cases
Answer:
no solution
Step-by-step explanation:
15(2x+2)=10(3x+4) Distribute.
30x+30=30x+40 Subtract 30x from both sides.
-30x -30x
30=40
30 does not equal 40, so there is no solution.
Hope this helps!! Have a great day C:
A farmhouse shelters 14 animals. Some are
pigs, and some are chickens. Altogether there
are 44 legs between the animals. Let p
represent the number of pigs and c represent
the number of chickens.
9514 1404 393
Answer:
8 pigs6 chickensStep-by-step explanation:
Maybe you want to know the number of each kind of animal.
__
We can write two equations in the two unknowns.
p + c = 14 . . . . . . number of animals
4p +2c = 44 . . . number of legs
Dividing the second equation by 2, it becomes ...
2p +c = 22
Then subtracting the first equation gives ...
(2p +c) -(p +c) = (22) -(14)
p = 8
8 +c = 14
c = 6
The farmhouse shelters 8 pigs and 6 chickens.
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
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.