The table with greater proportionality is table 3.
What is constant proportionality?The constant of proportionality is the ratio between two directly proportional quantities.
As, the constant proportionality is
k= y/x
For table 1,
k = 1/1 = 2/2 =1
For table 2,
k = 6/1= 12/2 = 2
For table 3,
k = 5/1 = 10/2 = 5
For table 4,
k = 4/1 = 8/2 = 4
Hence, table 3 is with greater proportionality.
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ABCD is a parallelogram. Find the measure of angle C.
A
B
C (3x+6)
D (2x+9)
Find out the measure for angle C
Answer:
C = 105°
Step-by-step explanation:
added in the picture
Liliana decides to crop a square photo 2 inches on each side to fit it into a frame. The area of the original photo was 121 square inches. In the equation (x + 2)2 = 121, x represents the side measure of the cropped photo.
What are the dimensions of the cropped photo?
8 inches by 8 inches
9 inches by 9 inches
12 inches by 12 inches
13 inches by 13 inches
Answer:
x = 9 or B
Step-by-step explanation:
Formula
(x + 2)^2 = 121
Comment
The easiest way to do this is to take the square root immediately, which is usually possible.
Solution
√(x + 2)^2 = √121 Take the square root
x + 2 = 11 Subtract 2 from both sides
x + 2 - 2 = 11 - 2
x = 9
Answer: B) 9 inches by 9 inches
Step-by-step explanation:
Edg 2022
[tex]\frac{5}{x+5}(2x-5(2))[/tex]
Answer: 10
Step-by-step explanation:
[tex]\frac{5}{x+5} (2x-5(2))\\\frac{5}{x+5} (2x-10)\\\frac{10x-50}{x+5}\\\frac{10(x+5)}{x+5} \\\frac{10}{1} \\10[/tex]
If the sum of a number and eight is doubled the result is five less than the number find the number
Answer: -21
Step-by-step explanation:
Let the number be x.
Then, this means 2(x+8)+5=x.
2x+16+5=x [distributive property]2x+21=x [combine like terms]x+21=0 [subtract x from both sides]x= - 21 [subtract 21 from both sides]In the year 2015, New Jersey had 1,218 people per square mile. The land area of New Jersey is 7,354 square miles. What was the approximate population of New Jersey in 2015? In the year 2015 , New Jersey had 1,218 people per square mile . The land area of New Jersey is 7,354 square miles . What was the approximate population of New Jersey in 2015 ?
Answer:
8,957,172 people
Explanation:
Population = 1,218 people per square mile
Land area of New Jersey = 7,354 square miles
Total population:
people living in per square mile × total land area
1,218 × 7,354
8,957,172
Prove: m/EIF = m/GIH
Step
m/EIF+m/FIG = 180
m/FIG+m/GIH
= 180
m/EIF+mZFIG= m/FIG+mZGIH
m/EIF = m/GIH
Reason
Distributive Property Transitive Property of Equality Definition of Supplementary Angles
Subtraction Property of Equality Multiplication Property of Equality Simplify
Division Property of Equality Reflexive Property of Equality Addition Property of Equality
Substitution Property of Equality Definition of Complementary Angles
An
13
Se
Tea
16
Finis
The question is incomplete. Below you will find the missing content in the figure.
Prove: m/EIF = m/GIH
Step Reason
m∠EIF+m∠FIG = 180°
m∠FIG+m∠GIH= 180°
m∠EIF+m∠FIG= m∠FIG+m∠GIH
m∠EIF = m∠GIH
The figure is shown below.
The correct answer is m∠EIF = m∠GIH
Here lines FH and GE intersect each other at the point I.
we have to prove the angle
m∠EIF = m∠GIH
so,
m∠EIF+m∠FIG = 180° as angels ∠EIF and ∠FIG forming a linear pair summing up to 180°. angels ∠EIF and ∠FIG form straight angels on a line EG.
m∠FIG+m∠GIH= 180° as angels ∠FIG and ∠GIH forming a linear pair summing up to 180°. angels ∠FIG and ∠GIH form straight angels on a line FH.
m∠EIF+m∠FIG= m∠FIG+m∠GIH because of the substitution property of equality. we replace 180° by m∠FIG+m∠GIH.
m∠EIF = m∠GIH because of the subtraction property of equality. We can subtract the same elements from both sides by the subtraction property of equality.
Therefore m∠EIF = m∠GIH.
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1. The perimeter of the square is f(x) = 4x, where x is the side of the square. Find the domain of the function.
A. Set of rational numbers
B. Set of whole numbers
C. Set of integers
D. All of the choices
2. Find the domain of the function y = 3x + 8(3 - x).
A. Set of real numbers
B. Set of integers
C. Set of whole numbers
D. Set of natural numbers
Question 1
B. Set of whole numbers
Eliminate A and C because negative integers are in those sets.Question 2
A. Set of real numbers
The equation represents a line, which has a domain of all real numbers.If the perimeter of the square is 4x then the domain of the function will be set of rational numbers and the domain of the function y=3x+8(3-x) is set of real numbers.
Given The perimeter of the square is f(x)=4x and the function is y=3x+8(3-x)
We will first solve the first part in which we have been given that the perimeter of the square is 4x and we have to find the domain of the function.
First option is set of rational numbers which is right for the function.
Second option is set of whole numbers which is not right as whole number involves 0 also and the side of the square is not equal to 0.
Third option is set of integers which is not right as integers involve negative number also and side of square cannot be negative.
Hence the domain is set of rational numbers.
Now we will solve the second part of the question
f(x)=3x+8(3-x)
we have not told about the range of the function so we can put any value in the function and most appropriate option will be set of real numbers as real number involve positive , negative and decimal values also.
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There are 5 white balls. 8 red balls, 7 yellow balls, and 4 green balls in a container. A ball is chosen randomly. Find the probability of the following events.
1.What is the probability of choosing
green?
Answers:________ work space:______
2. What is the probability of choosing
red?
Answers:________ work space:______
3. What is the probability of choosing
neither white nor green?
Answers:________ work space:_______
4. . What is the probability of choosing
other than yellow?
Answers:________ work space:_______
5. What is the probability of choosing
purple?
Answer:_________ work space:_______
Given :
White balls = 5 Red balls = 8 Yellow balls = 7Green balls = 4Answer 1 :-
We know that,
P (E) = No. of favourable outcomes / Total number of outcomes.>> Total no. of outcomes = 5 + 8 + 7 + 4
>> Total no. of outcomes = 24
As there are 4 green balls. Therefore,
P (E) = 4 / 24P (E) = 2 / 12 P (E) = 1 / 6Answer 2 :-
We know that,
P (E) = No. of favourable outcomes / Total number of outcomes.>> Total no. of outcomes = 5 + 8 + 7 + 4
>> Total no. of outcomes = 24
As there are 8 red balls. Therefore,
P (E) = 8 / 24 P (E) = 4 / 12 P (E) = 2 / 6 P (E) = 1 / 3Answer 3 :-
We know that,
P (E) = No. of favourable outcomes / Total number of outcomes.>> Total no. of outcomes = 5 + 8 + 7 + 4
>> Total no. of outcomes = 24
As there are 15 balls that are neither green nor white. (Red balls+ yellow balls)
P (E) = 15 / 24 P (E) = 5 / 850/22 as a decimal rounded to the nearest hundreth
Step-by-step explanation:
the answer is 2.27. hope this helps
Which expression represents a difference of squares?
A. t² +100
B. 4x² - 16x
C. 25k-64
D. 81-49y²
Answer:
D represents a difference of squares.
Answer: Choice [D] - [tex]\boldsymbol{81-49y^2}[/tex]
Step-by-step explanation:
Hii, do you need to know which expression represents a difference of squares? No problem! (:
The Difference of SquaresLet's consider it for a moment. The "difference of squares" means we subtract two numbers squared, like [tex]\boldsymbol{a^2-b^2}[/tex].
Now let's check our choices and see where we subtract two numbers squared.
The only choice like that is Choice [D] - [tex]\boldsymbol{81-49y^2}[/tex].
In choice A, we add 2 numbers; in choices B and C we don't subtract two numbers squared.
Voila! There's our solution, cheers! (:
--
Hope that this helped! Best wishes.
[tex]\it Reach\;far.\;Aim\;high.\;Dream\;big.[/tex]
--
What's the solution to –9x + 4 < 40? Question 4 options: A) No solutions B) All real numbers C) x > –4 D) x < –6
Hey there!
-9x + 4 < 40
SUBTRACT 4 to BOTH SIDES
-9x + 4 - 4 < 40 - 4
SIMPLIFY IT!
-9x < 40 - 4
-9x < 36
DIVIDE -9 to BOTH SIDES
-9x/-9 < 36/-9
SIMPLIFY IT!
x < 36/-9
x < -4
Therefore, the answer should be:
x < -4
(The graph is down below)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
For each of the following research questions, determine whether an observational study, an
experiment, or neither should be used to answer the question. Note - each term on the right may be
used more than once or not at all.
The situations described can be classified as experiment, and observational study.
What is an experiment?An experiment is a tool to test a hypothesis about the occurrence of a particular phenomenon. According to the above, it can be stated that student-centered instruction can be classified as an experiment because this method of education is used and it is verified whether it is effective or not.
What is an observational study?An observational study is a methodology to identify the occurrence of an event in a particular situation. From the foregoing, it can be inferred that the participation of women in the 2016 election is the product of an observational study because only the number of voters should be counted and the number of women who participated should be identified.
Note: This question is incomplete because there is some information missing. Here is the information missing.
OPTIONS:
Does learner-centered instruction increase students' success rates in maths?
What proportion of registered women voters voted in the 2016 U.S. presidential election?
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A rectangular floor of area 21.6 m2 is going to be tiled. Each tile is rectangular, and has an area of 288 cm2. An exact number of tiles can be put into the space. How many tiles will be needed?
Answer:
Area of Floor = 21.6.m²
Area of tile = 288 cm² = 0.0288 m²
No. of tiles = Area of floor/ area of tile
= 21.6/0.0288
= 750
750 tiles can be put into the spaceThe table shows ordered pairs of the function y=8-2x. What is the value of y when x = 8?
X
-3
-1
1
4
8
10
y
14
10
6
0
?
-12
Answer: -8
Step-by-step explanation:
[tex]y=8-2(8)=\boxed{-8}[/tex]
If it is now 1:15, what time will it be in 1 1/2 hours' time?
Answer:
2:45
Step-by-step explanation:
1 1/2 hour is 1 hour and 30 minutes.
If we add 30 minutes to 1:15, we get 1:45
if we add 1 hour to 1:45, we get 2:45, which is our answer.
Make a tree diagram to show all possible arrangements of the letters in the word MAT. If each of the letters is ordered randomly, what is the fractional probability of M being the last letter?
If each of the letters is ordered randomly, the fractional probability of M being the last letter is 1/6.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
We have to make a tree diagram to show all possible arrangements of the letters in the word MAT.
M ⇒ A ⇒ T
⇒ T ⇒ A
A ⇒ M ⇒ T
⇒ T ⇒ A
T ⇒ M ⇒ A
⇒ A ⇒ M
If each of the letters is ordered randomly, the fractional probability of M being the last letter is 1/6.
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1. Draw an appropriate Venn diagram to depict each of the following sets. U = The set of integers. A = The set of even integers. B = The set of odd integers. C = The set of multiples of 3. D= The set of prime numbers. 1. Draw an appropriate Venn diagram to depict each of the following sets . U = The set of integers . A = The set of even integers . B = The set of odd integers . C = The set of multiples of 3 . D= The set of prime numbers .
The attached diagram represents the Venn diagram of the sets
How to draw the Venn diagram?The sets are given as:
The universal set, U = The set of integers. A = The set of even integers. B = The set of odd integers. C = The set of multiples of 3. D= The set of prime numbersFrom the above representation, we have the following highlights:
Set A and set B will not intersect, because no number can be even and oddSet C and set D will intersect set A because they have common elements 6 and 2, respectivelySet C and set D will intersect set B because they have common elements 3 and 3, respectivelyUsing the above highlights, we can now draw the Venn diagram
See attachment for the Venn diagram
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3. When using set builder notation, what does it mean to 'Define a set'?
Answer:
A set is a well-defined collection of distinct mathematical objects.
Please help me!!! I will give brainliest to the correct answer.
[tex]\mathsf {2(10 + 2) = 3(y + 3)}[/tex]
[tex]\mathsf {24 = 3y + 9}[/tex]
[tex]\mathsf {3y = 15}[/tex]
[tex]\textsf {y = 5}[/tex]
[tex]\textsf {The value of y will be 5. }[/tex]
What is the distance in units between the points (-1, 5) and (-1,
-3)?
Answer:
8 [units].
Step-by-step explanation:
if to see the given coordinates, then it is clear the x-coordinates are equal. It means, the required distance can be calculated:
d=5+3=8 [units].
Which of the following choices name the sides of DGF?
Answer:
Second choice GD and GF with the LINE symbol over each
Step-by-step explanation:
Angle named DGF means that G ( in the middle) is the vertex so GD would be a line starting at G going out toward D and G F would be a line starting at G going out to F
Eve has two more marbles than Solene. Solene has twice as many marbles as Steve. Steve has 7 less marbles than eve. How many marbles do they have in all?
A. 27 B. 20 C. 34 D. 13
Using a system of equations, the total number of marbles that they have is given by:
A. 27.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The variables are given as follows:
Variable x: Eve's marbles.Variable y: Solene's marbles.Variable z: Steve's marbles.Eve has two more marbles than Solene, hence:
x = y + 2.
Solene has twice as many marbles as Steve, hence:
y = 2z -> z = y/2.x = 2z + 2.Steve has 7 less marbles than eve, hence:
z = x - 7.
Hence:
[tex]\frac{y}{2} = x - 7[/tex]
y = 2(x - 7)
y = 2(y + 2 - 7)
y = 2y - 10
y = 10.
Then:
x = y + 2 = 10 + 2 = 12.z = x - 7 = 12 - 7 = 5.Hence the total is given by:
T = 12 + 10 + 5 = 27.
Which means that option A is correct.
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Find the measure of line segment DE
[tex]DE=\sqrt{13^{2}+12^{2}-2(13)(12)(\cos 59^{\circ})} \approx \boxed{12.3}[/tex]
HURRY Given f(x) = - 3/4x + 2, find ƒ(16). The solution is
Answer: Read attachment.
Step-by-step explanation: Attached is my work. Hope it helps!
If my answer was helpful, please mark as brainliest. Or not, it's fine.
Answer:
[tex]\fbox {f(16) = -10}[/tex]
Step-by-step explanation:
Given :
f(x) = -3/4x + 2
Substitute x = 16 :
f(16) = -3/4(16) + 2
f(16) = -12 + 2
f(16) = -10
Write an expression to represent:
The sum of 5 and the quotient of a
number x and 2
O 2x + 5
O 2/x - 5
O x/2 + 5
Answer:
Step-by-step explanation:
2/x-5
A rectangular parking lot has a perimeter of 820 ft. The area of the parking lot measures 42,000 ft2. What is a dimension of the parking lot?
By solving a system of equations, we will see that the parking lot is 210ft by 200ft.
How to get the dimensions of the parking lot?For a rectangle of length L and width W, the perimeter is:
P = 2*(L + W)
And the area is:
A = L*W
Here we know that the perimeter is 820 ft and the area is 42,000 ft²
Then we can write the two equations (ignoring units).
820 = 2*(L + W)
42,000 = L*W
We can isolate L in the first equation to get:
820/2 = L + W
410 - W = L
Now we can replace that in the other equation:
42,000 = (410 - W)*W = 410*W - W^2
Now we want to solve the quadratic equation:
-W^2 + 410*W - 42,000 = 0
The solutions are given by:
[tex]W = \frac{-410 \pm \sqrt{410^2 - 4*(-1)*(-42000)} }{-2} \\\\W = \frac{-410 \pm 10 }{-2}[/tex]
Then the solutions are:
W = (-410 + 10)/(-2) = 200
W = (-410 - 10)/2 = 210
If we take W = 200, then:
L = 410 - W = 410 - 200 = 210
So we can conclude that the parking lot is 200ft by 210ft.
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Answer: C, 210 ft
Step-by-step explanation: edge :)
A greedy hamster hoarded 2 piles of sunflower seeds. Yesterday the ratio of the seeds in these piles 3:4; but today the greedy hamster placed another 2 pounds of seeds in the bigger pile. He also ate 1/4 pound from the smaller pile and now the quantities of seeds in those piles is in the ratio of 5:16. What was the weight of each pile yesterday
The weight of each pile yesterday will be 6 and 8 pounds.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
It is Given that Yesterday the ratio of seeds in these piles was 3:4.
Let 3x and 4x represent the seeds.
If the 2 pounds of seeds are added in the bigger pile, then
4x + 2
He also ate 1/4 pound from the smaller pile,
3x - 1/4
The quantities of seeds in those piles is in the ratio of 5:16.
So, 4x + 2 = 5x
3x - 1/4 = 16x
Solve;
So, 4x + 2 = 5x
2 = 5x - 4x
x = 2
The weight of each pie will be
3x = 6 pound
4x = 8 pound
Hence, The weight of each pile yesterday would be 6 and 8 pounds.
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Write the equation of the line with a slope of 3/4 and a y'-intercept of -7 in Slope-Intercept and Poin Slope Form.
need help with this question please
∠ A = 132°
Step-by-step explanation:
∠ A + ∠C = 180° (Angle sum of cyclic quadrilateral)
∠ A = 180° - ∠ C = 180° - 48°
∠ A = 132°
Question 3 of 10
Mark all the statements that are true.