Answers
Answer:
im guessing because its a slope were trying to find the slope intercept so y1~mx1+b on desomos or y=mx+b in actual equation form
Step-by-step explanation:
Related Questions
Solve for x.
6
х
12
15
X=
units
Answers
Answer:
x = 4
Step-by-step explanation:
If a line is parallel to a side of the triangle and intersects the other 2 sides then it divides those sides proportionally, that is
[tex]\frac{2}{4}[/tex] = [tex]\frac{x-1}{6}[/tex] ( cross- multiply )
4(x - 1) = 12 ( divide both sides by 4 )
x - 1 = 3 ( add 1 to both sides )
x = 4
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!
Come on help me pretty plz
Answers
Answer:
im pretty sure its pink
Step-by-step explanation:
i need help plssssssssssssss
Answers
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.
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
(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
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 :)
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
find the total surface area for this cuboid
Answers
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)
Division as Fractions - Word
Name
cach problem. Make sure to write your answer as a fraction.
Henry wanted to collect 65 pounds of cans in 7 days. How much should he
collect each day to reach his goal? Which two whole numbers does your
answer lie between?
Answers
Answer:
65/7
=9.28..lies btwn 9 and 10
Step-by-step explanation:
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.
Answers
Answer:
y=20x+217
Step-by-step explanation:
what is the inequality of 2.2m < 11
Answers
Answer:
m<5
Step-by-step explanation:
Answer:
m < 5
Step-by-step explanation:
How much is 2000mg in grams?
Answers
Answer:
2 grams
Step-by-step explanation:
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]
ANSWER FOR BRAINLIEST
Answers
Answer:
x = 10
Step-by-step explanation:
( 6x - 6 ) + ( 7x + 1 ) + 55 = 180
6x + 7x = 180 + 6 - 1 - 55
13x = 130
x = 10
Check:
6(10) - 6 = 56
7(10) - 1 = 69
55 + 56 + 69 = 180 ✔️
A store sells a pound of bananas for $0.40 and a pound of cabbage for $0.56. Can you buy more pounds of bananas or cabbage with $7? How many more pounds?
Answers
Answer:
The bananas will cost $1.38.
Step-by-step explanation:
Explanation:
Multiply the number of pounds by the price per pound.
2.51lb×$0.55lb=$1.38
Use synthetic division
1.
(2x3 - 5x2 + 3x + 7) = (x - 2)
Answers
Answer:
Step-by-step explanation: that should help
25. Explain the Error Jeremy factored 144x? – 100 as follows:
144x2 100 = (12x + 10)(12x – 10)
= 2(6x + 5)(6x – 5)
What was his error? Correct his work.
Answers
Given:
Consider the expression is
[tex]144x^2-100[/tex]
Jeremy factored the given expression and his steps are given.
To find:
The error in his solution.
Solution:
We have,
[tex]144x^2-100[/tex]
It can be written as
[tex]=12^2x^2-10^2[/tex]
[tex]=(12x)^2-10^2[/tex]
[tex]=(12x+10)(12x-10)[/tex] [tex][\because a^2-b^2=(a+b)(a-b)][/tex]
Taking out common factors from each parenthesis.
[tex]=2(6x+5)2(6x-5)[/tex]
[tex]=4(6x+5)(6x-5)[/tex]
So, Jeremy was incorrect because the common factor is [tex]2\times 2=4[/tex] instead of 2.
Therefore, Jeremy made his mistake in his last step.
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]
what does 40 centimeters equals in meters
Answers
Answer:
Its 0.4 meters!
Step-by-step explanation:
Solve for c.
-5/8c = 20
A. c = -34
B. c = -32
C. c = 26
D. c = 28
Answers
Answer:
b
Step-by-step explanation:
solve for c by simplifying both sides of the equation then isolate the variable
I need help plz
.........
.......
.......
Answers
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 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
Math equation with its graph
a) y=3x+2
b) y= -x+5
c) y= 2x-1
d) y= -4x
See picture attached
Please help
Answers
Answer:
y=3x+2 to B
y=-x+5 to D
y=2x-1 to C
y=-4x to A
18 divided by 5 - (6-5)-1) pemdas
Answers
Answer:
The answer is 6
Which fraction is equivalent 5/20?
Answers
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
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?
Answers
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:
Hey Everyone I was asking anyone can help with this problem it would really appreciated.
Answers
Answer:
angle G = angle I
HGI=HIJ by RHS fact
HGI=HIJ corresponding angles are alwyas congurrent
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.
Answers
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.
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!!!!!
