..:
[tex]12 {x}^{3} y - 18x {y}^{2} \\ [/tex]
Factor out 6xy:
[tex]\boxed{(6xy)(2 {x}^{2} - 3y)} [/tex]
(which is the maximum you could get(atleast in this problem))
Solve the compound inequality y + 7 ≥ –1 and y∕4 + 3 ≤ 5
A)
6 < y ≤ 32
B)
–8 < y ≤ 8
C)
–8 ≤ y ≤ 8
D)
6 ≤ y ≤ 32
Estimate the amount of time she spent at ballet to the nearest hour
The amount of time that Lila spent at Yoga and Ballet are approximately equal to 26 hours and 13 hours respectively.
How to calculate the time spent?First of all, we would calculate the amount of time that Lila spent at Yoga by multiplying the total time spent by the percentage of time spent on Yoga as follows:
Yoga time = 92 × 28/100
Yoga time = 92 × 0.28
Yoga time = 25.76 ≈ 26 hours.
Part B.Next, we would calculate the amount of time that Lila spent at Ballet by multiplying the total time spent by the percentage of time spent on Ballet as follows:
Ballet time = 92 × 14/100
Ballet time = 92 × 0.14
Ballet time = 12.88 ≈ 13 hours.
Read more on circle graph here: https://brainly.com/question/23608372
#SPJ1
Complete Question:
The circle graph shows how Lila spent her after-school time during the month of October. Lila’s Activities Part A If Lila spent a total of 92 hours on these activities in the month of October, estimate the amount of time she spent at Yoga, to the nearest hour.
Part B. Estimate the amount of time she spent at Ballet, to the nearest hour.
Describe a situation that can be represented by an equation and a situation that can be represented by an inequality. What features determine how the situation should be represented?
The inequality sign can be used when referring to two quantities that are not the same size.
What is an inequality?An inequality is used to express a condition whereby the two quantities are not the same.
For instance, if we have the same number of students inside and outside a classroom, we can use the equality sign. In a case where we do not have the same number of students inside and outside the classroom, we can use the inequality sign.
Learn more about inequality:https://brainly.com/question/20383699
#SPJ1
Simplify the expression to yield a quadratic trinomial in standard form.
6x(x-4)-(3x− 2)
Step-by-step explanation:
6x² - 24x - 3x + 2
6x² - 27x + 2
evaluate the expression and enter your answer in the box below |98|
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to evaluate [tex]\pmb{|98|}[/tex].
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
The notation |x| denotes absolute value.The absolute value of a number is its distance from zero.
Absolute value is always positive; distances can't be negative, right?
So we need to find the absolute value of 98, which is:
[tex]\star~\star\mathrm{98}~\star~\star[/tex]
[tex]\ddot\bigstar[/tex] Remember this...
[tex]\fbox{The\;absolute\;value\;is\;a\;number's\;distance\;from\;zero}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
Evaluate the expression below when x = 3 54 ÷ 2•3-x²
Answer:
72
Step-by-step explanation:
54/2(3)−3^2
= 54/2(3)−3^2
=72
The simplified ratio of 32/12 is:
Answer:
8/3
Divide both sides by the GCF, 4.
32 ÷ 4 = 8
12 ÷ 4 = 3
Integrate h(x,y)=(x y)i (y2−x)j over the closed curve that begins at (−7,0), goes along the x-axis to (7,0), and returns to (−7,0) by the upper part of the circle x2 y2=49
Green's theorem in vector calculus connects a line integral around a simple closed curve C to a double integral over the plane area D limited by C.
What is Green's Theorem?Green's theorem in vector calculus connects a line integral around a simple closed curve C to a double integral over the plane area D limited by C. It is a two-dimensional variant of Stokes' theorem.
The path of the particle is positively oriented so we can use Green's theorem to find the work done in moving particle along C.
The work done is given by [tex]\oint_{c}\vec F \cdot \vec{dr}[/tex]
Here, [tex]\vec F[/tex](x,y)=<x+y, y²-x>
Then [tex]\oint_{c}\vec F \cdot \vec{dr} = \oint_{c}(x+y)dx+(y^2-x)dy[/tex]
In comparison with [tex]\oint_{c}Pdx+Qdy[/tex] what we have,
P= x+y and Q=y²-x
Then [tex]\dfrac{\partial P}{\partial y} = 1[/tex] and [tex]\dfrac{\partial Q}{\partial x} =-1[/tex]
Using the Green's Theorem,
[tex]\oint_{c}Pdx+Qdy = \iint_{D} \left ( \dfrac{\partial Q}{\partial x}-\dfrac{\partial P}{\partial y}\right )dA[/tex]
Here D in polar Co-ordinates is given by,
D={(r,θ) : 0 ≤ r ≤ 7, 0 ≤ θ ≤ π}
Then
[tex]\oint_{c}(x+y)dx+(y^2-x)dy\\\\=-\iint_D 2dA\\\\=-\int_{\pi}^{0}\int_{0}^7 2r drd\theta\\\\=-49\pi[/tex]
Learn more about Green's Theorem:
https://brainly.com/question/27549150
#SPJ4
What is x in the figure?
im not sure I'd need to see the figure
Write 0.15 as a fraction in the simplest form.
Answer:
3/20
Step-by-step explanation:
0.15 = 15/100
This is not simplified though :
15/100 ÷ 5/5 = 3/20
This is simplified
Hope this helped and brainliest please.
can someone help me with this question? Thank you!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's evaluate ~
The given expression is :
[tex]\qquad \sf \dashrightarrow \:4x + 8[/tex]
plug the value of x as 3
[tex]\qquad \sf \dashrightarrow \:4(3) + 8[/tex]
[tex]\qquad \sf \dashrightarrow \:12 + 8[/tex]
[tex]\qquad \sf \dashrightarrow \:20[/tex]
Therefore, the required value is 20
(Will mark Brainliest)Function g can be thought of as translated(shifted)version of f(x)=x²
Write The equation for g(x)
g(x)=__?__
Answer:
g(x) = (x + 2)² + 1
Explanation:
Given parent function: f(x) = x²
If the function translates two units right
g(x) = (x + 2)²If the function translates one units up
g(x) = (x + 2)² + 1 ← final function.PLEASE HELP ILL MAKE YOU THE BRAINIEST
Find the value of x
Answer:
12.04
Step-by-step explanation:
add 8 and 9 by the power of two: 8^2+9^2
that equals to 145
find the square root of 145 and that equals to 12.04
B. Solve the following inequalities and graph their solution sets. Use red or blue marker and ruler for the graph. 1. 3x-7 ≤ 5 Solution:
Answer:
[tex]3x \leqslant 5 + 7 \\ 3x \leqslant 12 \\ x \leqslant 4[/tex]
Step-by-step explanation:
hope it helps
Can someone help me with this please
Answer:
D
Step-by-step explanation:
A function input can only have ONE output value
so the number 5 can't output two different numbers
Solve the system of equations using subtraction.
4x - 2y = 10
4x + y = 19
Answer:
y=3 x=4
Step-by-step explanation:
4x - 2y = 10
4x + y = 19
-3y=-9
the 4x canceled out.
y=3
plug in y into one of the equations
4x + 3 = 19
4x=16
x=4
Hope this helps!
If not, I am sorry.
Answer:
(4, 3 )
Step-by-step explanation:
4x - 2y = 10 → (1)
4x + y = 19 → (2)
subtract (1) from (2) term by term
(4x - 4x) +y - (- 2y) = 19 - 10
0 + y + 2y = 9
3y = 9 ( divide both sides by 3 )
y = 3
substitute y = 3 into either of the 2 equations and solve for x
substituting into (2)
4x + 3 = 19 ( subtract 3 from both sides )
4x = 16 ( divide both sides by 4 )
x = 4
solution is (4, 3 )
James surveyed 120 voters at random out of 12,600
registered voters in his town. based on the results of the
survey, what is the total number of registered voters
expected to vote for miss frizzle in the upcoming election
The expected number of votes for Miss Frizzle in the election is 4725
How to determine the expected number of votes for Miss Frizzle?The data that completes the question is as follows:
Miss Frizzle = 45
Miss Reynolds = 75
The expected number of votes for Frizzle is:
Frizzle = 45/120 * 12600
Evaluate
Frizzle = 4725
Hence, the expected number of votes for Miss Frizzle in the election is 4725
Read more about expected values at:
https://brainly.com/question/15858152
#SPJ1
What is the value of a?
A. 12
B. 15
C. 17.25
D. 21.25
Answer:
C 17.25
Step-by-step explanation:
i think aanswer its c
What is another name for an X-Value
9TH GRADE ALGEBRA 1
A-output values
B- range
C- domain
D- function
Answer:
see explanation
Step-by-step explanation:
the set of x- values ( the input ) are called the domain
Answer:
domain
Step-by-step explanation:
as the y values is the range
In each problem below, find the total area of the shaded regions.
Thanks!
The area of the shaded region = area of semicircle - area of triangle ACB = 11.32 cm².
What is the Area of a Semi-circle and Triangle?Area of a triangle = 1/2(base)(height).
Area of a semi-circle = 1/2(πr²).
m∠ACB is a right triangle based on the central angle theorem. Therefore, ΔACB is a right triangle.
Radius of circle = OC = 4 cm
CB = 4 cm
Diameter AB = 2(4) = 8 cm
Using the Pythagorean theorem, find AC in ΔACB:
AC = √(AB² - CB²)
AC = √(8² - 4²)
AC ≈ 6.9 cm
Area of ΔACB = 1/2(CB)(AC)
Area of ΔACB = 1/2(4)(6.9)
Area of ΔACB ≈ 13.8 cm²
Area of semicircle = 1/2(πr²) = 1/2(π)(4²)
Area of semicircle ≈ 25.12 cm²
Area of the shaded region = area of semicircle - area of triangle ACB = 25.12 - 13.8
Area of the shaded region = 11.32 cm²
Learn more about the area of semicircle and triangle on:
https://brainly.com/question/14711792
#SPJ1
Jamie had seven posters, but only three could fit on his closet door. How many different ways can he arrange the three posters out of the seven on his closet door?
A. 52.5
B. 210
C. 1260
D. 5,040
Explanation:
Jamie has 7 choices for the first slot, then 6 choices for the next, and 5 choices for the final slot. Order matters. He has 7*6*5 = 210 permutations.
Alternatively you can use the nPr permutation formula with n = 7 and r = 3.
That formula is
[tex]nPr = \frac{n!}{(n-r)!}[/tex]
The exclamation marks indicate factorials. For instance, 4! = 4*3*2*1 = 24.
Answer:
B. 210 is correct!
Step-by-step explanation:
I got it correct on the quiz.
Represent each cylinder as a net. Find the surface area of each cylinder.
Answer:
113.04m^2
Step-by-step explanation:
Surface area for Base and top
[tex]2*\pi d=2*3.14*4=25.12[/tex]
Surface area for the other part
[tex]\pi d*h = 12.56*7 = 87.92[/tex]
you will get
113.04m^2
Which equation can be used to solve for x in the following diagram?
The equation we can use to find the value of x in the diagram given is: B. (5x + 30) + 5x = 90.
What are Complementary Angles?Angles that give a sum of 90 degrees when added are referred to as complementary angles.
The angles, (5x + 30) and 5x are complementary angles, since the sum of both gives a right angle (90 degrees).
Therefore, the equation that we can use to find x in the diagram is: B. (5x + 30) + 5x = 90.
Learn more about complementary angles on:
https://brainly.com/question/16281260
#SPJ1
What kind of relationship is expressed below?
5x+3=7
a. equation
b. function
c. inequality
Answer:
a. equation
Step-by-step explanation:
The LHS is equal to the RHS
Two or more expressions with an Equal sign is called as Equation. Hence Equation is the relationship of 5x+3=7.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given is 5x+3=7
It is a equation because the left hand side is equal to the RHS side
It has a equal sign.
Where as in expressions there will be no equal sign.
Expression has only numbers, operators and variables.
5x+3=7 is not a function as it has no y variable or other variable.
Hence equation is the relationship of 5x+3=7.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Which statement best describes the function? Help. Please
The correct answer is option c. Which is the function is increasing when x is greater than zero.
What is a function?A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
In the graph, we can see that at the origin the graph becomes zero. When the graph proceeds rightwards the value of the function is increasing as the value of x is increasing.
Therefore the correct answer is option c. Which is the function is increasing when x is greater than zero.
To know more about function follow
https://brainly.com/question/2833285
#SPJ1
what is the volume of a cube if the diagonal of one side is 5sqrt(2)
Must include diagram
The what is the volume of a cube if the diagonal of one side is 5sqrt(2) is V = 125 cubic units
What is a square?A square is a shape with 4 sides
Let the side of the square be x units. If the length of the diagonal is 5√2, the value of x can be expressed using the pythagoras theorem as shown;
x² + x² = (5√2)²
2x² = 25(2)
x² = 25
x = 5 units
Determine the volume
V = x³
V = 5³
V = 125 cubic units
Hence the what is the volume of a cube if the diagonal of one side is 5sqrt(2) is V = 125 cubic units
Learn more on volume of cube here: https://brainly.com/question/1972490
#SPJ1
Working alone, steve can complete a task in 6 hours. working simultaneously at their respective constant rates, he and mike can complete the same task in 4 hours. how long will it take mike working alone to complete the task
Answer:
It would take him 4 hrs.
Step-by-step explanation:
Hope this helps!
Time taken by mike alone to finish the Task is 12 hours.
steve can complete a task in 6 hours.
he and mike can complete the same task in 4 hours.
What is rate of change?
Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
Rate of steve finishing task per hour = 1/6
Rate at which both finishes the task per hour = 1/4
Rate at which mike finishes the task per hour = M
now
M = 1/4-1/6
M = 3-2/12
M = 1/12
here, mike finishes his task at 12 hours
Thus, Time taken by mike alone to finish the Task is 12 hours.
Learn more about rate of change here: https://brainly.com/question/13103052
#SPJ2
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Consider the graph of the function . f(x) = ln x
Answer:
Behold! Try using Desmos or something
#PlatoAccuracyMatters
#WhaddyaMeanPlatoLives?
Step-by-step explanation:
The functions and their matching properties are:
[tex]h(x) = f(x - \frac{1}{2}) \to[/tex] x-intercept at (1.5,0)[tex]j(x) = f(x) - \frac{1}{2} \to[/tex] vertical asymptote x = 0[tex]g(x) = -\frac 12f(x - 2) \to[/tex] function decreases as x increasesHow to match the functions with their properties?To do this, we start by plotting the graphs of the functions h(x), j(x) and g(x)
Next, we list out the properties from the graphs
From the graphs of the functions (see attachment), we have the following highlights:
[tex]h(x) = f(x - \frac{1}{2})[/tex] has an x-intercept of (1.5,0)[tex]j(x) = f(x) - \frac{1}{2}[/tex] has a vertical asymptote of x = 0The function [tex]g(x) = -\frac 12f(x - 2)[/tex] decreases as x increasesRead more about functions at:
https://brainly.com/question/1851758
#SPJ1
The graph below shows the relationship between the number of months different students practiced tennis and the number of matches they won:
Part A: What is the approximate y-intercept of the line of best fit and what does it represent?
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope.
Answer:
(a) (i) y-intercept = 3
(ii) Represents that the team won 3 matches without any practice.
(b) (i) Equation: y = 1.8x + 3,
(ii) 26 matches won
The approximate y-intercept can be determined by seeing when the best fit line crosses the y axis.
Part AHere the best line crosses the y-axis when y = 3. So coordinates: (0, 3)
Part BTake two best points touching the line: (0,3), (5, 12)
[tex]\sf slope \ (m) = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{12-3}{5-0} = 1.8[/tex]
Equation:
y - y₁ = m(x - x₁)
y - 3 = 1.8(x - 0)
y = 1.8x + 3
So, after 13 months of practice: y = 1.8(13) + 3 = 26.4 ≈ 26 matches won.
#1
The y intercept should represent how much matches the team won without practice
Here its 3
(0,3)#2
(0,3)(5,12)Slope
m=12-3/5m=9/5Equation in point slope form
y-3=9/5xy=9/5x+3After 13 months
y=9/5(13)+3=117/5+3Approximately 26matches
What is the probability of a flowering plant bearing flowers in january if it is a tulip? a. 68% b. 72% c. 76% d. insufficient data
The probability of a flowering plant bearing flowers in January if it is a tulip is 68%.
How to find the Probability?
From the attached table, we see the respective probabilities of each flower bearing flowers in January as;
Tulip = 68%
Anemon = 81%
Manzanita = 77%
Peony = 70%
Fuschia Flowering currant = 74%
Total = 76%
Thus, it is clear that the probability of a flowering plant bearing flowers in January if it is a tulip is 68%.
Read more about Probability at; https://brainly.com/question/2612152
#SPJ1
Answer: insufficient data
Step-by-step explanation: Plato 100% right