Answer:
C (x)
Step-by-step explanation:
The Vertex of an angle is the point at which the angle is located on, so in this case the vertex is X.
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 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]
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?
Answer:
65/7
=9.28..lies btwn 9 and 10
Step-by-step explanation:
what does 40 centimeters equals in meters
Answer:
Its 0.4 meters!
Step-by-step explanation:
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!
5/8^3+9-1/4^3= I really need help!!!
Answer: 3/8q^3 + 9
Step-by-step explanation:
1. combine like terms 5/8q^3 - 1/4q^3, need to make denominator the same to subtract so multiply 2/2 by 1/4q^3, 5/8q^3 - 2/8q^3 = 3/8q^3
2. final answer is : 3/8q^3 + 9
15 POINTS HURRY
Write an expression that is equivalent to 5
3
r - 8
2
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:
Solve the system of equations by Linear Combination (Elimination)
6x - 2y = 16
x + 2y = 5
a) (3,1)
b) (1,3)
c) Infinite Many Solutions
d) No Solution
PLEASE PLEASE PLEASE HELPPP MEEE
PLZ ANSWER QUICK IT WILL HELP A LOT!
Answer:
A
Step-by-step explanation:
ANSWER FOR BRAINLIEST
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 ✔️
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.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
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?
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
b2-5c
b=15 & c=9
if you can show the work it would be really helpful:)
Please I need help this is already late
the first would be A and hopes this helps
Use synthetic division
1.
(2x3 - 5x2 + 3x + 7) = (x - 2)
Answer:
Step-by-step explanation: that should help
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:
Find the area of a rectangle whose length is 5 ½ feet long and 1 3/4 feet wide.
Answer:
11/2 x 7/4 = 77/8 = 9 5/8
Step-by-step explanation:
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.
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.
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)
The two triangles shown are similar. Find the value of b.
Answer:
Since the corresponding sides of similar triangles are proportional,
[tex]\frac{a}{b}= \frac{2.1}{1.4} =\frac{3}{2}[/tex]
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!!!!!
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
Answer:
y=3x+2 to B
y=-x+5 to D
y=2x-1 to C
y=-4x to A
A group of friends wants to go to the amusement park. They have no more than $275 to spend on parking and admission. Parking is $5, and tickets cost $27 per person, including tax. Write and solve an inequality which can be used to determine r, the number of people who can go to the amusement park.
Answer:
275=27x+5
Step-by-step explanation:
10 people can go to the park
27(10)+5=275
Kate has 48 softballs. She wants to divide them evenly among b softball bags. Which expression represents how many softballs she should put into each bag?
Answer:
Softballs = (48/b)
Step-by-step explanation:
Given that,
Total number of softballs = 48
She wants to divide them evenly among b softball bags.
We need to find an expression that represents how many softballs she should put into each bag.
As it is dividing among b softball, it means we divide 48 and b. So,
[tex]s=\dfrac{48}{b}[/tex]
Hence, the required expression is (48/b).
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
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
Hey Everyone I was asking anyone can help with this problem it would really appreciated.
Answer:
angle G = angle I
HGI=HIJ by RHS fact
HGI=HIJ corresponding angles are alwyas congurrent