Options 3 and 4 are empty sets.
What is an empty set?Well-defined collection of objects or elements is called sets in mathematics. Set having no elements is known as empty set.
We can also define finite and infinite sets based on the number of elements in a set. An empty set is denoted by the symbol '∅' and is read as 'phi'.
Given U = {x|x is a positive integer greater than 1},
It is not an empty set ,if the set has elements such that x is prime or 2x is prime( positive integer greater than 1).
As the elements in the option 3 and 4 are fractions, therefore they are empty set as integers don't include fractions or decimals. Integer, also known as whole number, is any positive or negative number in which decimal parts or fractions is not included.
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PLEASE HELP SUPER FAST AND ILL GIVE BRAINLEST
Describe in words a sequence of transformations that maps ∆ABC to ∆A''B''C''.
Write an ordered-pair rule for each transformation in the sequence.
Transformations that maps ∆ABC to ∆A''B''C'' is [tex]A^{''}(8,-2)\\B^{''}(5,-2)\\C^{''}(7,0)[/tex]
What is coordinate plane ?A coordinate plane is a two-dimensional surface made up of two number lines. It is produced when a horizontal line crosses the origin, which is the location where the X-axes and Y-axes meet. The numbers on a coordinate grid are used to find points. Using a coordinate plane, you may graph points, lines, and many other things. It functions as a map and gives precise driving instructions between two spots.
Reflection about x - axes (x,y)→(x,-y)
Reflection about y - axes (x,-y)→(-x,-y)
combined reflection is reflection about origin.
[tex]A^{'}(5,-3) \\B^{'}(2,-3)\\[/tex]
[tex]C^{'}(4,-1)[/tex]
Shift upward by 1 unit and on right hand side by 3 units
(x,y)→(x+3;y+1)
=[tex]A^{''}(8,-2)\\B^{''}(5,-2)\\C^{''}(7,0)[/tex]
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the populations of towns a, b, and c vary exponentially with respect to time. the population of town a increases by 26% every 11 years. what is the annual percent change in the population of town a? % the population of town b decreases by 39% every 13 years. what is the annual percent change in the population of town b? % the population of town c triples every 5 years. what is the annual percent change in the population of town c?
a. 11 year growth factor = 1 + (26/100) = 1.26
1-year growth factor = (1.26)^1/11 = 1.0210
Therefore,
1-year growth percent = 1.0210 - 1 = 0.0210 %
Answer: 2.10
b. 13-year decay factor = 1 - (39/100) = 0.61
1-year decay factor = (0.61)1/13 = 0.9631
Therefore,
13-year decay factor = 1 - 0.9631 = 0.03686 = 3.68%
Answer: 3.68
c. 5-year growth factor = 3
1-year growth factor = (3) ^1/5 = 1.245
Therefore,
1-year growth factor = 1.2457 - 1 = 0.2457 = 2.45%
Answer:2.45
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I need help with question 6, I've included the prior answers from questions 1, 2 and 3 to help you. I've also included what the previous questions were so you have some context of the situation. Although, I think you only need the answers from part C ( which is the graph I've including) to answer question 6
Question 6 asks us to determine the period of the function.
Looking at the height of the blade tip, it varies in a sinusoidal manner.
Thus, the period is the distance between successive same heights on the table.
The function takes 360 degrees to return to its same value. At angle zero, the height was 150ft and it was still 150 ft at 360 degrees.
Thus the period is 360 degrees.
Which triangles are congruent by ASA?
The correct answer is [b] ΔHGF and ΔABC.
In geometry, the two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
What do you mean by congruent?In geometry, the two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
Formally speaking, two sets of points are said to be congruent if—and only if—they can be changed into the one another by an isometry, which is a combination of rigid motions like translation, rotation, and reflection. This indicates that either object may be precisely aligned with the other object by moving and reflecting it, but not by resizing it. So if we can cut out and then perfectly match up two separate plane figures on a piece of paper, they are congruent. The paper may be turned over.
Triangles with two pairs of congruent sides and an included congruent angle are said to be congruent by ASA.
According to the graph, sides TU, FG, and BC are congruent, as well as sides TV, HG, and AB. Additionally, it shows that angles G and B are congruent as well as angles U, F, and C. Triangle TUV is eliminated because ASA cannot find another triangle that is equivalent to angle U of triangle TUV using the information provided.
The only triangles left are FGH and ABC. These triangles are congruent by ASA since it is clear that angles G and B are included angles.
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Mark has a container in the shape of a cube. He uses 64 cubes with sides lengths of 1 inch to completely fill the container.
What is the edge length of the container?
Hint: The volume of the container is 64 cubic inches.
If Mark has a container in the shape of a cube and he uses 64 cubes with sides length of 1 inch to completely fill the container, then the edge length of the container is 4 inches
The shape of the container is cube
He uses 64 cubes with side length of 1 inch to completely fill the container
The volume of cube with side length of 1 inches = [tex]a^{3}[/tex]
Where a is the side length of the cube
= [tex]1^{3}[/tex]
= 1 cubic inches
The volume of 64 cubes = 64×1
= 64 cubic inches
The volume of the container in cub shape = The volume of the 64 cubes with side length of 1 inches
[tex]a^{3}[/tex] = 64
a = 4 inches
Hence, if Mark has a container in the shape of a cube and he uses 64 cubes with sides length of 1 inch to completely fill the container, then the edge length of the container is 4 inches
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5. For the following function, evaluate f(5)-f(4), *
f(x) = -2x²-x+3
For this following function by evaluating f(5)-f(4) we get -19.
What is evaluate?
Finding the value of an algebraic expression when a given number is used to replace a variable is known as evaluating the expression. When evaluating an expression, we change the variable in the expression to the given number and then use the order of operations to simplify the expression.
Sol- f(5)-f(4)
f(5)-f(4)= (-2.5^2-5+3)-(-2.4^2-4+3)
Calculate the power
(-2×25-5+3)-(-2×4^2-4+3)
Calculate the product or quotient
(-50-5+3)-(-2×16-4+3)
Calculate the sum
-52-(-32-4+3)
=-52-(-33)
determine the sign
=-52+33
By calculating the sum of difference we are get
-19.
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What were William's total fixed and variable expenses during the first year of college? Select the correct answer from each
drop-down menu.
Step-by-step explanation:
sorry i just need the points im reallyy really sorryAnswer:
Step-by-step explanation:
variable expenses sum is 6,100
fixed expenses sum is 18,942
How do you write 8.61 × 10–1 in standard form?
The expression 8.61 x 10-1 in standard form is 0.861
How to rewrite the expression?The expression is given as
8.61 x 10-1
Rewrite the equation properly as follows
So, we have the following expression
8.61 x 10^-1
Express 10^-1 as 1/10
So, we have the following expression
8.61 x 1/10
Evaluate the products
So, we have the following expression
8.61/10
Evaluate the quotient
So, we have the following expression
0.861
Hence, the expression is 0.861
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Jade has four slices of chocolate cake.
She gives a slice to Josh, Malaysia, and Jacob.
What fraction of the cake did Jade give away?
Jade give away 3/4 fraction of the cake.
25y²-90y+81
Factor the polynomial completely
Answer:
The answer is
[tex] {(5y - 9)}^{2} [/tex]
Step-by-step explanation:
factor
[tex] {(25y }^{2} - 90y + 81)[/tex]
get the GCF of 25,-90,81=1
get the square root of leading terms
[tex] \sqrt{25 {y }^{2} } = 5y \: and \: \sqrt{81} = 9[/tex]
the final answer is
[tex] {(5y -9) }^{2} [/tex]
please help me!! 25 points!
The location of point P such that the ratio AP / PB = 2 / 3 is (1, - 2).
What are the coordinates of a point that partition a line segment?
In this question we have the location of two endpoints of a line segment, point A (3, 0) and point B (- 2, - 5). About the line segment, we are asked to find the coordinates of a point P such that the following ratio is met:
AP / PB = 2 / 3
3 · AP = 2 · PB
3 · [P(x, y) - A(x, y)] = 2 · [B(x, y) - P(x, y)]
3 · P(x, y) - 3 · A(x, y) = 2 · B(x, y) - 2 · P(x, y)
5 · P(x, y) = 3 · A(x, y) + 2 · B(x, y)
P(x, y) = (3 / 5) · A(x, y) + (2 / 5) · B(x, y)
P(x, y) = (3 / 5) · (3, 0) + (2 / 5) · (- 2, - 5)
P(x, y) = (9 / 5, 0) + (- 4 / 5, - 10 / 5)
P(x, y) = (9 / 5, 0) + (- 4 / 5, - 2)
P(x, y) = (1, - 2)
The location of point P is (1, - 2).
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Simplify using long division: fraction with x cubed minus 4 times x squared plus 2 times x plus 2 in the numerator and x minus 1 in the denominator a x squared minus 3 times x minus 1 plus 1 over quantity x minus 1 end quantity b x squared minus 2 times x minus 2 plus 1 over quantity x minus 1 end quantity c x squared plus 2 times x plus 2 plus 1 over quantity x minus 1 end quantity d x squared plus 3 times x minus 1 plus 1 over quantity x minus 1 end quantity
The answer is A x^2-3x-1+1/x-1
The expression is x²-3x-1+ 1/ (x-1).
what is long division?The mathematical procedure for splitting big numbers into several smaller groups or sections is known as long division. The dividend is the number we split into smaller groups, while the divisor is the number by which we divide. A difficulty can be solved by breaking it down into manageable parts.
The mathematical procedure for splitting big numbers into smaller groups or pieces is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions. When solving an issue involving long division, the dividend—a high number—is divided by the divisor, a smaller number. The extra amount that cannot be divided yields the quotient, which is known as the residual.
Given:
x cubed minus 4 times x squared plus 2 times x plus 2 in the numerator and x minus 1 in the denominator=x³ - 4x² + 2x + 2 / x-1
Now, performing the long division method we have
= [tex]x^2+\frac{-3x^2+2x+2}{x-1}[/tex]
= [tex]= [x^2-3x+\frac{-x+2}{x-1}[/tex]
= [tex]= (x^2-3x-1)+ 1/ (x-1)[/tex]
Hence, the simplified division is x²-3x-1+ 1/ (x-1)
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Can some one pls help!? I have no clue what I’m doing. And I’ve not been given a book to look from
The unknown angles are as follows:
m∠EFH = 59.5°m∠GFH = 59.5°What are angle bisector?An angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.
In other words, a line that splits an angle into two equal angles.
Therefore, a bisector of an angle 120 degrees bisect the angle into 60 degrees.
Hence, FH bisect ∠EFG into the angles m∠EFH and m∠GFH .
Therefore, m∠GFH and m∠EFH are congruent.
m∠EFG = 119°
Hence,
m∠EFH = m∠GFH
Therefore,
m∠EFH = 119 / 2
Hence,
m∠EFH = 59.5°
m∠GFH = 59.5°
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1. You launch a toy rocket from a height of 5 feet. The height h, in feet of the rocket t seconds after taking off is given by the formula h = -3t2 + 14t + 5.
In case whereby You launch a toy rocket from a height of 5 feet with the height h, in feet of the rocket t seconds after taking off is given by the formula h = -3t2 + 14t + 5, then the value of t will be 4.67 secs.
How can the values of t be calculated?
The giving equation is h = -3t2 + 14t + 5
where the height h is been given as 5 feet, then we can substitute the value of the height they the expression can be simplified as
5 = -3t^2 + 14t + 5
Then this equation can be re arranged as :
-3t^2 + 14t + 5 - 5=0
This can as well be expressed as
-3t^2 + 14t = 0
t(-3t + 14)= 0
Then t= 0 and -3t + 14=0
t=14/3 = 4.67 secs
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Point P represents a ship outside of a danger circle.What is mZĀC?68°110°84°D81°2658°
26 = (110 - x)/2
52 = 110 - x
x = 110 - 52
x = 58°
if you answer beans u r a chad
beans
Answer: bean
Step-by-step explanation:
bean chd china bean poopies beans
t+p=
1350
Blank 1:
Р
t
PLEASE HURRY
Answer:
135
Step-by-step explanation:
two interior angles of a triangle equal to the exterior of the angle that is neither of the interior angles
so in this case
p + t = 135
help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!
Answer: 9 square inches
Step-by-step explanation:
help me the question please rast the answers
Considering the situation with the parallel lines being cut by the two transversal lines, the measures of the angles are given as follows:
12. m<14 = 66º (option C).
13. m<12 = 86º (option D).
Measure of angle 14Angles 4 and 15 are alternate exterior angles, as they are on different sides of the same transversal line, hence they are congruent, that is:
m<15 = 114º.
Angles 14 and 15 are consecutive interior angles, meaning that they are supplementary, hence the measure of angle 14 is calculated as follows:
m<14 + m<15 = 180º
m<14 + 114º = 180º
m<14 = 66º.
Measure of angle 12Angles 5 and 10 are alternate interior angles, as they are on the opposite internal sides of the same transversal line, hence they are congruent and the measure of angle 10 is given as follows:
m<10 = 86º.
Angles 10 and 12 are equivalent angles, as they are on the same position, just relative to different transversal lines, hence they are also congruent, and the measure of angle 12 is given as follows:
m<12 = 86º.
Missing informationThe diagram with these lines is given by the image at the end of the answer.
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Draw a coordinate plane on your paper. Then
plot the points on your coordinate plane.
A(3, 1) B(2, 4) C(4, 1) D(1, 5)
Answer:
yw:) have a good day :)
Volume is 7/8, length is 5/8, width is 7/9, what is height?
5/8 x 7/9 x ? = 7/8
The height of a the given shape which has a volume of 7/8, length of 5/8, width of 7/9 is 9/5
How to find height of a shape given the volume?Volume of the shape = 7/8Length of the shape = 5/8Width of the shape = 7/9Height of the shape = ?Volume = Length × width × height
7/8 = 5/8 × 7/9 × x
7/8 = 35/72x
divide both sides by 35/72x = 7/8 ÷ 35/72
multiply by the reciprocal of 35/72= 7/8 × 72/35
= 9/5
So therefore, the height of the given shape is 9/5
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Wes wants to treat his friends to some arcade games. He has 50 game tokens. Which three responses show a number of friends Wes could divide his tokens among evenly?
The three responses that can show a number of friends Wes could divide his tokens among evenly include:
25 tokens each for 2 friends.
5 tokens each for 5 friends.
10 tokens for 5 friends.
How to illustrate the information?From the information, Wes wants to treat his friends to some arcade games. He has 50 game tokens.
It should be noted that this information simply wants you to illustrate the factors of 50.
Therefore, the factors are 2, 5, 10, 25 and 50.
Therefore, 25 for 2 friends will be 50. Same with 5 for 10 friends. In this case, it should be noted that 25 × 2 = 50 and 5 × 10 = 50. This gives the original value and shows how he can divide the game tokens equally.
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Solve negative a minus four sevenths equals two thirds for a.
a equals negative 26 over 21
a equals 26 over 21
a equals negative 2 over 21
a equals 2 over 21
The solution for the linear equation is a = -26/21, so the correct option is the first one counting from the top.
How to solve the linear equation?Here we have a mathematical statement that can be written as the following linear equation:
-a - 4/7= 2/3
To solve this for a, we just need to isolate a in one of the sides of the equation, so let's do taht.
-a - 4/7 = 2/3
a = -4/7 - 2/3
Now we need a common denominator in the right side, i will use 21.
a = -12/21 - 14/21 = -26/21
So the correct option is the first one.
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Amy runs 7 miles in 53 minutes how many miles per minute
The distance run by Amy per minute is 0.132 miles.
Given,
The distance run by Amy = 7 miles
Time taken by Amy to cover this distance = 53 minutes
We have to find the distance covered by Amy in one minute.
So,
Distance covered by Amy per minute = x
Then,
7 / 53 = x / 1
7 × 1 = x × 53
Here,
x = 7/53
Then,
x = 0.132
That is,
The distance run by Amy per minute is 0.132 miles.
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Which equation exemplifies the Associative Property of Multiplication?
O8x0=0x8
O 1+(7+8)= (1+7)+8
O3x6=2x9
O 3(2x4) = (3x2)4
Answer:
3(2×4)=(3×4)2
%%%%%%%%
write an equation which relates the figure number x to the number of tiles y
Write an equation which relates the figure number x to the number of tiles y
x= increase a row of 4 per image
y = 1 + 4*x
Figures
1
y = 1 + 4*(1) = 5
2
y = 1 + 4*(2) = 11
3
y = 1 + 4*(3) = 13
__________________
Answer
The equation which relates the figure number x to the number of tiles y is
y = 1 + 4x
_
Can you see the updates?
Do you have any questions regarding the solution?
A dealership tracks the correlation between the age of its used cars and asking price for the car. The regression line is y = 12,338 – 930x, where x is the age of the car, in years.
Which statements are true regarding this model? Check all that apply.
For every one year in age, the price is predicted to increase by $930.
For every one year in age, the price is predicted to decrease by $930.
If the car is new, the car is predicted to cost $12,338.
If the age of the car is 1 year, the price is predicted to be $12,338.
Answer:
Step-by-step explanation:
The reasonable price of the car after 4 years will be $8618.
What is regression analysis?
Regression analysis is a group of statistical procedures used in statistical modelling to determine the associations between a dependent variable and one or more independent variables.
Given that a dealership tracks the correlation between the age of its used cars and asking price for a car. The regression line is y = 12,338 – 930x, where x is the age of the car, in years.
The price of the car after 4 years will be calculated as follows:-
y = 12338 - 930x
y = 12338 - ( 930 x 4 )
y = 12338 - 3720
y = $8618
Therefore, the reasonable price of the car after 4 years will be $8618.
Answer:
B - For every one year in age, the price is predicted to decrease by $930
C- If the Car is new, the car is predicted to cost $12,338.
Step-by-step explanation:
correct on edge 2022
Could someone help me with this question?
Select the correct answer.
Aster Inc. paid salaries of $28,000 to its employees. How are the balance sheet and income statement affected by this transaction?
Based on the fact that Aster Inc. paid salaries to its employees, the effect on the balance sheet and the income statement is A. Assets ↓ Expenses ↑.
What are assets and expenses affected?When the salaries were paid by Aster Inc. to its employees, the effect was that the assets decreased. This is because cash was used to pay the salaries and cash is an asset.
Expenses will increase because when there is a payment of expenses to employees, it is recorded as a debit to the relevant asset account so this is an increase that will decrease income.
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what are the coordinates of point E
Step-by-step explanation:
E = (-8, 2)
reflected across the y axis means that there is kind of a mirror along the y-axis.
and when you look into that mirror, you see point D as point E all the way on the other side of the mirror, at the same distance from the mirror as point D is. and point E has the same "height" (y) as point D.
since the other side of the mirror represents the negative numbers, the same distance to the mirror means the same amount of negative units away from the mirror for E, as we have positive units away from the mirror for D.
Determine how long it will take for a principal amount of $13,000 to double its initial value when deposited into an account paying interest at a rate of 21.4 percent, continuously compounded
Answer:
3.24 years
Step-by-step explanation:
2 = e^it Decimal interest = i T = years 2 = double
T = 3.24 years For ANY deposit amount to double