y = 9.75
Step-by-step explanation:
From the definition of vertical angles, we can see that
8y - 14 = 64 ---> 8y = 74 or y = 9.75
What is an example of an absolute value equation?
The absolute value of a given number is said to be the positive version of that number. For example, the absolute value of -5 is + 5, which can be written as: − I5 | = 5. Other examples of absolute values of numbers: |−9| = 9, |0| = 0, − |−12| = −12, etc.
Absolute Value Equation:
An absolute value function is an algebraic function whose variables lie within the absolute value bar. This function is also called the modulus function, and the most commonly used form of the absolute value function is f(x) = |x|, where x is a real number. In general, the absolute value function can be expressed as f(x) = a |x - h| + k, where a represents how much the graph stretches vertically, h represents the horizontal shift, and k represents the vertical shift of the graph for f(x) = |x|. represents If the value of 'a' is negative, the chart opens downwards, if positive, the chart opens upwards.
Now that we understand the meaning of the absolute value function, we understand the meaning of the absolute value equation f(x) = a |x - h|. + k and how the values of a, h, and k affect the value of the function.
'a' value determines how the graph of f(x) is stretched vertically.'h' value specifies horizontal displacement'k' value specifies the vertical displacementThe vertex (x) = a |x - h| + k of the absolute expression f is given by (h, k). You can also use the vertices of f(x) = a |x - h| Find + k using the formula (x - h) = 0 . When determining the value of x, substitute that value into the formula to find the value of k.
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This is an example of a random sample: Surveying people in the library about whether they like to read books.
True
False
Answer:
True
Step-by-step explanation:
The sample space would be 2 possible outcomes, 1/2, 50% because it's a yes or no question
Answer: the answer is false
Step-by-step explanation: if you survey someone about whether they like books or not, you wouldnt really do it in a library! if youre in the library you like to read books, so it wouldnt really be a random sample!
(please can you give me brainliest!!!)
A wire that is 22 feet long connects the top of a pole to the ground. What is the height of the pole? Round to the nearest hundredth. 12.00 feet 19.60 feet 24.17 feet 38.40 feet
The question is incomplete. The complete question is :
A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 feet from the base of the pole. What is the height of the pole? Round to the nearest hundredth.
12.00 feet
19.60 feet
24.17 feet
38.40 feet
Solution :
Given the length of the wire = 22 feet
Horizontal distance between the pole and the point where the wire is attached = 10 feet
Therefore, from Pythagoras theorem, we get from the figure :
[tex]$AB^2=OA^2+OB^2$[/tex]
[tex]$OA^2=AB^2-OB^2$[/tex]
[tex]$OA^2=22^2-10^2$[/tex]
[tex]$OA^2=484-100$[/tex]
[tex]$OA^2=384$[/tex]
[tex]$OA=\sqrt{384}$[/tex]
= 19.60 (approx)
Therefore, the height of the pole to the nearest hundredth is 19.60 feet.
Answer:
B.) 19.60
Step-by-step explanation:
edge 2021
What is slope and intercept of the line 2x 3y 6?
The slope of linear eqution of two variables x and y, i.e., 2x+3y = 6 is -2/3 and intercept is 2 .
The slope-intercept form expression of a linear equation is y = mx + c --------->(1)
Where m --> slope of the straight line and
c --> the x - intercept .
The expression for slope is represented as :
m = (y₂ - y₁) / (x₂ - x₁) ------>(2)
where (x₁, y₁) and (x₂, y₂) are any two points lying on the straight line. Once the slope m is determined then the general equation of the straight line can be determined easily.
Now we have , the equation in the problem statement is 2x + 3y = 6. firstly , we can rewrite it in the slope-intercept form as :
3y = 6 - 2x
=> y = 6/3 - 2x/3
=> y = -2x/3 + 6/3
=> y = (-2/3)x + 2
comparing the above eqution with eqution(1) we get , m = -2/3 and c = 2. So, slope and intercept of eqution 2x + 3y = 6 are -2/3 and 2 respectively.
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What is g(4) when given the function g(x) = 6x + 32?
Answer:
The value of g(4) of the given function is 56.
Eighteen of Susan's muffins weigh the
same as 15 of Tom's muffins. How many
of Susan's muffins weigh the same as
7 of Tom's muffins?
Answer: 8.4. So it has to be 8 muffin and you can’t have 0.4 of a muffi realistically.
Step-by-step explanation:
Tickets to a museum cost $17 each. For a field trip, the museum offer a $4 discount on each ticket. How much will tickets cost for 32 students cost?
Answer: 416
Step-by-step explanation:
Answer:
416
Step-by-step explanation: the tickets cost 17 each and there is a discount of $4 for a field trip so for that you do 17 minus 4 and you get 13 and then you will multiply 13 by 32 students and you get 416.
I hope this helps!!
In a certain lottery, 5 numbers between 1 and 13 inclusive are drawn. These are the winning numbers. How many different selections are possible
1287 combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.
How many different lottery combinations are there?You win the jackpot if you match all six numbers. You receive a lesser fixed prize if you partially match some of the numbers.
Divide the number of winning lottery numbers by the total number of available lottery numbers to discover the probability of winning any lottery. Use the formula if the numbers are picked from a set and the order of the numbers is unimportant.
To find the winning combination we use the following formula
n !/ r!( n – r ) !
Where n = total number of to be drawn
r = the number which are drawn
In this question, n = 13, and r = 5
from the formula
13 !/5!( 13 – 5 ) !
= 13! / 5! 8!
= 13*12*11*10*9*8! / 5*4*3*2*1*8!
= 154,440 / 120
= 1287
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what is the radius of a circle whose circumference is 16π?
A. 32π
B. 16
C. 8 π
D. 8
Answer:
D
Step-by-step explanation:
Remark
The circumference of a circle is 2 * pi * r
Given
The circumference (C) = 16 * pi
Solution
2 pi r = 16 pi Divide by 2*pi
r = 16 pi / (2*pi)
r = 8
A rectangle has a length of 4 millimeters and an area of square 116 millimeters. What is the width? What is the perimeter?
Answer:
Width = 29mmPerimeter = 66mmStep-by-step explanation:
The area of a rectangle can be calculated by the formula:
= Length * Width
As we have the length and the area, we can make the width the subject of the formula to solve for it:
116 = 4 * width
Width = 116/4
= 29 mm
Perimeter is:
= Length + Length + Width + Width
= 4 + 4 + 29 + 29
= 66 mm
What is 10 by the power of 6?
Answer:1000000
Step-by-step explanation:
Bacteria are important in the nitrogen cycle because they __________. Choose the correct answer.
Bacteria are important in the nitrogen cycle because they convert gaseous nitrogen into ammonia.
What is Nitrogen Cycle?The nitrogen cycle is a biogeochemical process through which nitrogen is changed into a variety of forms before returning to the atmosphere after first entering the soil and then organisms.
Given:
The cycle's most crucial component is bacteria.
The nitrogen is changed between states by bacteria so it can be utilised.
Different bacteria assist nitrogen change states when it is absorbed by the soil so that it may be absorbed by plants.
Then, the plants provide the nitrogen for the animals.
Hence, Bacteria convert gaseous nitrogen into ammonia.
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hep me please and thx u
Answer:
what do i dohere?
Step-by-step explanation:
The following data were obtained in a study taken on a horizontal milling machine: Parts produced per cycle: 8. Average measured cycle time: 8.36 minutes. Average measured stress time per cycle: 4.62 minutes. Average fast traverse time: 0.08 minutes. Average cutting time with electrical power: 3.66 minutes. Performance rating: 115%. Clearance (machine time): 10%. Slack (effort time): 15%. The operator works on the task 8 hours a day and produces 380 parts. How many standard hours does the operator work
Answer:
8.04 ≈ 8 hours
Step-by-step explanation:
Given data:
parts produced per cycle = 8
Average measured cycle time = 8.36 minutes
Average measured stress time per cycle ( observed workers time) = 4.62 minutes
e.t.c
Determine the number of standard hours the operator works
Given that the operator works for 8 hours a day and produces 380 parts
First : calculate the normal time for worker and machine ( Normal time = ( observed worker time * performance rating ) / 100
Normal time for worker = (4.62* 115) / 100 = 5.31 mins
Normal time for machine = (observed cycle time - observed worker time ) = 8.36 - 4.62 = 3.74 mins
Next; determine the Total standard time for Machine and worker = ( normal time * ( 1 + Allowance factor )
Standard Time For Worker = 5.313* (1 + 0.1) = 5.84 mins
while Standard Time for Machine = 3.74 *( 1 + 0.15) = 4.30 mins
Total standard time = 5.84 + 4.3 = 10.14 mins
Finally determine the standard hours the operator works
Standard hours = (Standard Piece Time* Pieces produced) / 60
where ; Standard piece time = Standard time / pieces per cycle = 10.14 / 8 = 1.27 mins
hence ; Standard hours = ( 1.27 * 380 ) / 60 = 8.04 hours
SOMEONE PLZ HELP SO I CAN NOT GET A 10% again :) thanks I will let u hit my cart
Answer:
it's "c" or the third option
Mr Castle shares out 42 marbles between Emily
and Asif in the ratio 5 : 1
How many marbles does each child get?
Emily gets marbles and Asif gets
marbles.
[4]
Answer:
Emily gets 35 marbles and Asif gets 7 marbles.
Step-by-step explanation:
let 5x and x be marbles Emily and Asif get.
5x + x = 42
or, 6x = 42
or, x= 7
5x = 5×7=35
x =7
Answer:
hi
Step-by-step explanation:
Additive Relationships
What is the value of y when x=100y=?
The value of y in the equation is y = x / 100.
How to make a variable the subject of the formula?Subject of the formula is a variable which is expressed in terms of other variables involved in the formula.
Therefore, let's make y the subject of the formula in the equation x = 100y.
Hence, we will find y in terms of x.
Therefore,
x = 100y
divide both sides of the equation by 100
100y / 100 = x / 100
y = x / 100
Therefore,
y = x / 100
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HELP!! Find the inverse of the matrix…
Answer:
the answer is b
can someone pleasee help
Answer:
y-intercept: (0, 5)
Step-by-step explanation:
This parabola has an equation of -x² + 4x + 5.
It's y-intercept is (0, 5).
It's x-intercepts or roots are (-1, 0) and (5, 0).
It's vertex is (2, 9).
___________________________________
Keep in mind that the y-intercept is when x = 0.
HELP DUE IN 5 MINS!
The figure below consists of a regular pentagon and a regular hexagon. Solve for x.
x=??degrees
Answer:
x = 132
Step-by-step explanation:
720/6 = 120 (one angle of the hexagon)
540/5 = 108 (one angle of the pentagon)
120+108 = 228
360 - 228 = 132
x = 132
Explain for brainliest (pog)
Answer:
b. exactly one solution
Step-by-step explanation:
-5(z+1)=-2z+10
(first, distribute the 5 into the parenthesis)
-5z-5=-2z+10
(next, move the variables to the left and constants to the right)
-5z+2z=10+5
(combine like terms)
-3z=15
(isolate to variable to find the solution)
z=-5
i hope this helps :)
Answer:
Here's an answer so you can give the other person brainliest :)
Step-by-step explanation:
A conical candle is to be made from 250 cm3 of wax. If the candle's height is three times its diameter, what radius and height should it have, to the nearest tenth?
Answer:
The radius and height of the cone are 3.41 cm and 20.46 cm respectively.
Step-by-step explanation:
Given that,
The volume of a conical candle is 250 cm³.
The height of candle is 3 times of its diameter.
h = 3d (d = 2r, radius)
So,
h = 6r
The formula of volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2h\\\\250=\dfrac{1}{3}\pi \times r^2\times 6r\\\\250=2\pi r^3\\\\r=(\dfrac{250}{2\pi })^{1/3}\\\\r=3.41\ cm[/tex]
Height, h = 6r = 6(3.41) = 20.46 cm
Hence, the radius and height of the cone are 3.41 cm and 20.46 cm respectively.
EU Migration Study
Discussion Question: In the EU migration study, 257 of the 583 immigrants
sampled were male. Let's assume the Trump/Farage claim is true: 60% of all
immigrants are male (p = 0. 60). What is the probability of obtaining 257 or fewer
males in a sample of 583 immigrants? Does this probability make you doubt the
Trump/Farage claim? Why or why not?
P
Normal(up= 0. 6, Op=. 020)
ộ ô
Ô P
ppp
PPPP
ppppppp
Skew The
Scrint
This probability does not support the Trump/Farage claim that 60% of all immigrants are male.
What is the probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes, and how likely they are.
The probability of obtaining 257 or fewer males in a sample of 583 immigrants can be found using the binomial probability formula, which calculates the probability of a specific number of successes (male immigrants) in a fixed number of trials (sample size) with a fixed probability of success (p = 0.60).
Using the binomial formula, the probability of obtaining 257 or fewer males in a sample of 583 immigrants can be found by summing the probabilities of obtaining 257 males, 256 males, 255 males, etc. up to 0 males.
Using a binomial calculator, we can find that the probability of obtaining 257 or fewer males in a sample of 583 immigrants is about 0.04.
This probability is quite low, which suggests that it is unlikely to obtain 257 or fewer males in a sample of 583 immigrants if the proportion of male immigrants is actually 60%.
Therefore, this probability does not support the Trump/Farage claim that 60% of all immigrants are male.
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Mujeeb is converting £236 into $. He knows that £1 = €1.11 and €1 = $1.25. How many $ will Mujeeb get? Give your answer to 2 dp.
Answer: $327.45
Step-by-step explanation:
Since £1 = €1.11, we need to convert £236 into euros first and this will be:
£1 = €1.11
£236 = €1.11 × 236 = €261.96
Then, we will convert the euros to dollars which will be:
€1 = $1.25
€261.96 = $1.25 × 261.96 = $327.45
Therefore, Mujeeb will get $327.45.
WILL MARK BRAINLIEST !!
Please look at the attached photo.
which expression represents the image below?
5/6 x 3/2
5/6 x 3/4
1/4 x 3/4
No links please !!
please respond fast with a good answer.
Answer:
5/6 x 3/2
Step-by-step explanation:
I think that would be correct out of all of those. I hope this helped!
(Please don't be mean if it's wrong, it's what I learned)
Find the roots of f(x)=x2+9x-36.
x = _____ or x = _____
Hi there!
[tex]\large\boxed{x = -12, 3}[/tex]
The roots of a function are when f(x) = 0, so:
0 = x² + 9x - 36
Find two numbers that multiply to -36 and add up to 9.
We get the numbers 12 and -3, so:
0 = (x + 12)(x - 3)
Set each equal to 0 to find the x value:
0 = x + 12
x = -12
0 = x - 3
x = 3
A marble is selected from a bag containing eight marbles numbered 1 to 8.
The number on the marble selected will be recorded as the outcome.
Consider the following events.
Event A: The marble selected has a number less than 4.
Event B: The marble selected has an odd number.
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.
A
(a) Event "A and B": {
(b) Event "A or B":
(c) The complement of the event B: {}
0,0..
X
From set theory, A and B: {4, 6} A or B: {2, 3, 4, 5, 6, 8} B's complement is 1, 2, 7, and 8.
What are the types of set theory?Basic set theory describes these various kinds of sets as follows: Finite set: There are only a finite number of elements. A set with an infinite number of elements. A set that is empty has no elements. A singleton set consists of just one element.
The elements that appear in both A and B at the same time are referred to as A and B.
From 1 to 8, the even numbers are 2, 4, 6, and 8.
The numbers 3, 4, 5, and 6 are in that order.
Look for the components that are the same in both sets.
A and B: {4, 6}
The union of the two sets is either A or B.
Combine the components from both sets.
A or B: {2, 3, 4, 5, 6, 8}
All the components that are absent from B make up its complement.
Except for the event elements, write all of the sample space's components.
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Kathy owns many different kinds of snow globes. She has 12 international snow globes and 18 domestic. What is the fraction that represents the international snow globes, in simplest form?
Answer:fraction that represents the international snow globes, =9//10
Step-by-step explanation:
Number of international snow globes ==12
Number of domestic snow globes ==18
total number of snow globes =12+18=20
fraction that represents the international snow globes=18/20=9//10
Why is the sine of an acute angle less than one?
The sine of an acute angle is less than one because it is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle. Since the side opposite the angle is shorter than the hypotenuse, the ratio is always less than one.
To what does sin equate?
In contrast to the cosine of an angle, which corresponds to the ratio of the nearby side to the hypotenuse, the sine of an angle is the ratio of the opposite side to the hypotenuse.
It's also the same reason why the cosine of an acute angle is always less than one because it is the ratio of the adjacent side of the angle to the hypotenuse.
It's important to note that this is only true for acute angles, angles smaller than 90 degrees.
For obtuse angles, greater than 90 degrees, the sine and cosine values are greater than one.
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What is the product of 2p 7 3p2 4p 3?
The product of 2p 7 3p2 4p 3 is 756p7.
What is product in math?Product in math is the result of multiplying two or more numbers, variables, or algebraic expressions together. It is often denoted by the symbol 'x' or by juxtaposition, such as writing "ab" instead of "a x b". The product of two numbers is the same as the result of the first number multiplied by the second. Product is a fundamental concept in mathematics and is used in many different types of equations and calculations.
This can be calculated by multiplying the terms together.
First, multiply the terms in each parenthesis.
2p 7 is 14p, 3p2 is 9p2, and 4p 3 is 12p3.
Then, multiply the three terms together, 14p x 9p2 x 12p3, which equals 756p7.
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