Answer:
x≤5
Step-by-step explanation:
When multiplying an inequality by a negative number, make sure to reverse the inequality signs. If -x has to be greater or equal to -5, then x has to be lesser or equal to 5
What is the value represented by the letter E on the box plot of the data?
45, 45, 50, 55, 60, 65, 72, 75, 80, 80, 90
Answer:
90
Step-by-step explanation:
90 because it's your maximum.
The perimeter of a triangular window is 141 inches. The ratio of the side lengths of the window is 11:18:18. What are the side lengths of the window?
The perimeter of a triangular window is the sum of its side lengths
The side lengths of the window are 33 inches, and 54 inches
How to determine the side lengths?The ratio is given as:
Ratio = 11: 18 : 18
Rewrite as:
Ratio = 11x: 18x : 18x
Express as sum
Sum = 11x + 18x + 18x
Sum = 47x
The perimeter is 141 inches.
So, we have:
47x = 141
Divide both sides by 47
x = 3
Recall that:
Ratio = 11x: 18x : 18x
So, we have:
Ratio = 11*3: 18*3 : 18* 3
Ratio = 33: 54 : 54
Hence, the side lengths of the window are 33 inches, and 54 inches
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Please help! Will mark brainlyest.
(0,-2)
it'll remain same
hope it helps...!!!!
during a sale,the price of a digital camera is reduced from $180 to $117.By what percentage is the price of the camera reduced
2. Find the general relation of the equation cos3A+cos5A=0
[tex]A=\frac{\pi}{8}+\frac{n\pi}{4}or\ A=\frac{\pi}{2}+n\pi[/tex]
Step-by-step explanation:Find angles[tex]cos3A+cos5A=0[/tex]
________________________________________________________
Transform the expression using the sum-to-product formula[tex]2cos(\frac{3A+5A}{2})cos(\frac{3A-5A}{2})=0[/tex]
________________________________________________________
Combine like terms[tex]2cos(\frac{8A}{2})cos(\frac{3A-5A}{2})=0\\\\ 2cos(\frac{8A}{2})cos(\frac{-2A}{2})=0[/tex]
________________________________________________________
Divide both sides of the equation by the coefficient of variable[tex]cos(\frac{8A}{2})cos(\frac{-2A}{2})=0[/tex]
________________________________________________________
Apply zero product property that at least one factor is zero[tex]cos(\frac{8A}{2})=0\ or\ cos(\frac{-2A}{2})=0[/tex]
________________________________________________________
Cos (8A/2) = 0:Cross out the common factor[tex]cos\ 4A=0[/tex]
________________________________________________________
Solve the trigonometric equation to find a particular solution[tex]4A=\frac{\pi}{2}or\ 4A=\frac{3\pi}{2}[/tex]
________________________________________________________
Solve the trigonometric equation to find a general solution[tex]4A=\frac{\pi}{2}+2n\pi \ or\\ \\ 4A=\frac{3 \pi}{2}+2n \pi\\ \\A=\frac{\pi}{8}+\frac{n \pi}{4\\}[/tex]
________________________________________________________
cos(-2A/2) = 0Reduce the fraction[tex]cos(-A)=0[/tex]
________________________________________________________
Simplify the expression using the symmetry of trigonometric function[tex]cosA=0[/tex]
________________________________________________________
Solve the trigonometric equation to find a particular solution[tex]A=\frac{\pi }{2}\ or\ A=\frac{3 \pi}{2}[/tex]
________________________________________________________
Solve the trigonometric equation to find a general solution[tex]A=\frac{\pi}{2}+2n\pi\ or\ A=\frac{3\pi}{2}+2n\pi,n\in\ Z[/tex]
________________________________________________________
Find the union of solution sets[tex]A=\frac{\pi}{2}+n\pi[/tex]
________________________________________________________
A = π/8 + nπ/4 or A = π/2 + nπ, n ∈ ZFind the union of solution sets[tex]A=\frac{\pi}{8}+\frac{n\pi}{4}\ or\ A=\frac{\pi}{2}+n\pi ,n\in Z[/tex]
I hope this helps you
:)
16. Which scale factor was used to dilate AABC to AA'B'C'?
A. 6
B. 3
C. 4
D. 5
Answer: C
Step-by-step explanation:
Write two equivalent expressions to represent the sum of the angles of this triangle.
please help I can't remember how find the sums of a triangles angles
100 points
Answer:
Step-by-step explanation:
The 3 angles add up to 180 degrees
2y + 2y + 5y = 180
9y = 180
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
As we know, Sum of all three Angles of Triangle is equal to 180° [ by Angle sum property of triangle ]
So, the required expression is :
[tex]\qquad \tt \dashrightarrow \:5y + 2y + 2y = 180[/tex]
or
[tex]\qquad \tt \dashrightarrow \:9y = 180[/tex]
if you solve for y, you will get y = 20°
And the angles as 100°, 40° and 40°
CaN AnYoNE hElP?~ find the area pls.
326.555 in2
349.45 in2
303.66 in2
607.32 in2
Answer:
Im pretty sure the answer is B) 349.45 in^2
Step-by-step explanation:
Hope This helps
Have A great Day
~Zero~
Write the next three terms of the geometric sequence 2916,972,324,108
Step-by-step explanation:
The common ratio is: r=0.3333333333333333
The sum of this series is: s_4=4320
The general form of this series is: a_n=2916*0.3333333333333333^(n-1)
An isosceles right triangle has legs that are 10 centimeters long. To the nearest tenth of a centimeter, what is the length of the hypotenuse?
Question
An isosceles right triangle has legs that are 10 centimeters long. To the nearest tenth of a centimeter, what is the length of the hypotenuse?
Answer:
14.1 cm
Step-by-step explanation:
is a right triangle and we use the Pythagorean theorem
√(10² + 10²) =
√(100 + 100) =
√200 =
14.1
Give the appropriate theorem or postulate that can
be used to prove the triangles similar:
A. AA Postulate
B. ASA Postulate
C. SSS Postulate
D. SAS Postulate
Answer:
Step-by-step explanation:
<ACB = <ECD
These 2 angles are vertically opposite and are equal.
<B = <D
They are both right angles are therefore equal.
The answer is the AA postulate.
A
Note
ASA is a congruence postualate. If S is between two angles that can be shown to be corresponding and equal, then you will have 2 congruent triangles.
SSS if three sides of 1 triangle = 3 sides of a second triangle, then the 2 triangles are congruent. If the the three sides of one triangle are in a ratio with 3 sides of the other triangle, then the triangles could be similar, but that is not the case here.
SAS this is the terminology for congruence as well. We don't know enough to use it for similarity. Some sort of ratio would have to be mentioned to do that.
You are intended to use AA as your answer.
(3x • 6)(6x • 4) it's asking me to make another equation to equal
Answer:
(18x) * (24x)
Step-by-step explanation:
Determine the total annual fica tax for an annual salary of $165,000. use $106,800 for maximum taxable earnings. a. $901.41 b. $9,014.10 c. $1,262.25 d. $12,622.50 please select the best answer from the choices provided a b c d
The total annual FICA tax for an annual salary of $165,000 would be 12622.50. So, option d is correct.
What is income tax?Income tax is a tax applied on individuals or entities concerning income or profit earned by them.
The categories are 6.2% as social security tax 1.45% as Medicare tax 0.9% as Medicare surtax for employees earning more than $200,000
Medicare Tax
6.2% x 165000
= 10230
Social Security Tax
= 1.45% x 165000
= 2392.5
Since 10230+2392.5 = 12622.50
Social security is taxed at 6.5 percent and medicare is taxed at 1.45 percent. it will always be that number unless the government changes it.
The categories are 6.2% as social security tax 1.45% as Medicare tax 0.9% as Medicare surtax for employees earning more than $200,000
As the income of the employee is less than $200000, so there will be no medical surtax.
Learn more about tax;
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Answer:
a. 901.41
(I just took the test)
answwer this please for 20 points and brainiest
Answer:
ur mom
Step-by-step explanation:
8%
A cylinder has a base diameter of 6 feet and a height of 2 feet. What is its volume in cubic feet, to the nearest tenths place?
The cylinder that has a diameter and height of 6 feet and 2 feet respectively has a volume of 56.5 ft³
Volume of a cylindervolume of a cylinder = πr²h
where
h = heightr = radiusTherefore,
radius = 6 / 2 = 3 feet
height = 2 feet
volume of the cylinder = 3.14 × 3² × 2
volume of the cylinder = 3.14 × 9 × 2
volume of the cylinder = 3.14 × 18
volume of the cylinder = 56.52
volume of the cylinder = 56.5 ft³
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What are the removable discontinuities of the following function? f (x) = startfraction x squared minus 36 over x cubed minus 36 x endfraction x = –6, x = 0, and x = 6 x = –6 and x = 6 x = 0 and x = –6 x = 0 and x = 6
The removable discontinuity is at negative 6 and 6. Then the correct option is B.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The function is given as
[tex]f\rm (x) =\rm \dfrac{x^2-36}{x^3-36x}[/tex]
The expression can be written as
[tex]f\rm (x) =\rm \dfrac{x^2-36}{x(x^2-36)}[/tex]
[tex]f\rm (x) = \dfrac{1}{x}[/tex]
The non-removable discontinuity is x = 0.
More about the function link is given below.
https://brainly.com/question/5245372
Answer :its B
Step-by-step explanation: got it right on edg 2022
How many different ways can three people from leni isko ping leody manny selected to attend a meeting
The selection of the three people is an illustration of combination
The number of different ways the three people can be selected is 10
How to determine the number of selection?From the question, we have the following parameters:
Number of people, n = 5Number of people to select, r = 3The number of different selections is then calculated using the following combination formula
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
So, we have:
[tex]^5C_3 = \frac{5!}{(5 - 3)!3!}[/tex]
Evaluate the difference
[tex]^5C_3 = \frac{5!}{2! * 3!}[/tex]
Evaluate the quotient
[tex]^5C_3 = 10[/tex]
Hence, the number of different ways the three people can be selected is 10
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Find m
This is geometry math
Answer: 120
Step-by-step explanation:
What size pizza should she order to get 37.68in of crust?
[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]
════════════════════
Answer:
↝[tex]r = \frac{471}{25\pi} [/tex]
Solution:
[tex]2\pi r = 37.68[/tex]
[tex] \frac{2\pi r}{2\pi} = \frac{37.68}{2\pi} [/tex]
[tex]r = \frac{37.68}{2\pi}[/tex]
[tex]r = \frac{471}{25\pi} [/tex]
────────────────────
If u evaluate it it will become
=5.996958256
════════════════════
Explanation:
#Carry on learning
Find the surface are of the rectangular prism below.
Answer:
The surface of the rectangular prism is 268
Step-by-step explanation:
SA=2B+ph if u use this it will help you as it is the formula for surface area i hope this helps
Lily's basketball team won 4/5 of their games. Lily scored points 2/3 of the games her team won. In waht fraction of her team's winning games did Lily score points?
A) 2/15
B) 8/15
C) 3/4
D) 5/6
[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]
════════════════════
Lily's basketball team won 4/5 of their games. Lily scored points 2/3 of the games her team won. In waht fraction of her team's winning games did Lily score points?
Answer: =D.[tex] \frac{5}{6}[/tex]
Solution:
[tex]\frac{ 2 }{ 3 } \div \frac{ 4 }{ 5 } =[/tex]
[tex]\frac{2}{3}\times \left(\frac{5}{4}\right) [/tex]
[tex]\frac{2\times 5}{3\times 4} [/tex]
[tex]\frac{10}{12} [/tex]
=[tex] \frac{5}{6}[/tex]
I reduced the fraction [tex] \frac{10}{12}[/tex] into the Lowest terms by doing extracting and cancelling out the [tex]2[/tex]
=[tex] \frac{5}{6}[/tex]
So the answer is letter D.[tex] \frac{5}{6}[/tex]
════════════════════
Explanation:
#Carry on learning
Write an equation in slope-intercept form of the line shown.
A graph of a line. The line passes through ordered pair 1 comma negative 3 and ordered pair 3 comma 1.
An equation is
Answer:
y= - 1/2x +2.5 or the slope is 2 if were going positive y-int is the same
Step-by-step explanation:
PLEASE HELP!! 90 POINTS!!!
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Alexander sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
8 visitors purchased no costume.
340 visitors purchased exactly one costume.
28 visitors purchased more than one costume.
If next week, he is expecting 600 visitors, about how many would you expect to buy more than one costume? Round your answer to the nearest whole number.
Answer:
45 people
Step-by-step explanation:
1) Add all of the origanal visitors (376)
2) Find the ratio (28/376) = 0.0744
3) Either 28/376 * 600 OR 0.0744 * 600 (I would recomend the fraction for more accurate answers, but because it says to round to the nearest whole number either will work, but you should still use fraction)
4) 44.6908
5) Round to 45 people
Answer:
600 visitors expected. Add 28 visitors for buying more than one costume and you get 628 visitors. I think you are complicating it.
Step-by-step explanation:
When given angle measures of 15°, 65°, and
90°, is it impossible to draw a triangle, possible
to draw only one triangle, or possible to draw
more than one triangle? Explain.
Answer:
it is impossible
Step-by-step explanation:
all shapes need to have all angles to add up to 180 but this triangle adds up to 170
If using the method of completing the square to solve the quadratic equation x^2-5x-27=0 which number would have to be added to "complete the square"?
Answer:
can you mark brainliy
Step-by-step explanation:
x²-5x+(-5/2)²=27+(-5/2)²
(x-5/2)²= 133/4
x-5/2= ±√(133/4)
x= (5/2)± √(133/4)
x= ...
Find the center and radius of the circle given by this equation x^2- 10x + y^2 + 6y -30=0
Answer:
center=(5,-3)
radius = 2 unit
Step-by-step explanation:
Answer:
(5,-3) radius-- 2
Step-by-step explanation:
The following table contains the first 5 terms of an infinite arithmetic sequence. What is the 7th term?
f(n) is an arithmetic sequence, so the difference between any two consecutive terms is the same. For instance,
f(2) - f(1) = -0.6 - 0.7 = -1.3
so for all natural numbers n, we should have
f(n) - f(n - 1) = -1.3
Then
f(6) - f(5) = -1.3 ⇒ f(6) = -4.5 - 1.3 = -5.8
f(7) - f(6) = -1.3 ⇒ f(7) = -5.8 - 1.3 = -7.1
Suppose you have a tray that is 10 inches squared in area. Choose objects to fill the tray (e.g. muffins, cookies, etc.). Then, establish both a quantity of objects AND the overall density of the objects on the tray.
This is a practical exercise. However, the following definitions and equations will help you to arrive at the density of the objects you will put on the tray.
What is density?Population density is defined as the number of people (in this case) items (N)/area of space that they occupy. (A)
Note that the area to be occupied by the items you will put on the Square Tray is 10 X 10 = 100inches.
Assuming the number of items that you put on the tray (that is total number of muffins, cookies, biscuits etc) equals 50,
The Density will be = 50/100
= 0.5 objects/In
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Solve each equation a x - b x / x + C equals D if a cannot equal to B + d
Answer:
x=dc/a-b-d
I hope this helps
25
What is the product?
(7x^2)(2x^3+5)(x^2-4x-9)
•
14x5 - x+ -46x3 - 58x2 - 20x -45
•
14x5 56x5 - 91x4 - 140x3 - 315x2
O 14x7-56x8-126x5+35x4-140X3-315x2
•
14x12 - 182x8 + 35x4 -455x2
Answer:
14x^7 - 56x^6 - 126x^5 + 35x^4 - 140x^3 - 315x^2
Step-by-step explanation:
(7x^2)(2x^3+5)(x^2-4x-9)
(14x^5+35x^2)(x^2-4x-9)
14x^7 -56x^6 - 126x^5 + 35x^4 -140x^3 - 315x^2
I don't see a correct answer option.
The one written as:
O 14x7-56x8-126x5+35x4-140X3-315x2
comes the closest, but it is not exact. I get 56x^6, not 56x^8.