Step-by-step explanation:
[tex]{ \purple{ \tt{(X₁ + X₂)²}}}[/tex]
This above problem is in the form of
[tex]{ \blue{ \tt{ {(a + b)}^{2}}}}[/tex]
where the expanded form of
[tex]{ \blue{ \tt {(a + b)}^{2}}} = { \green{ \bold{ {a}^{2} + {b}^{2} + 2ab}}} [/tex]
then the (X₁ + X₂)² answer will be
[tex]{ \purple{ \tt{(X₁ + X₂)²}}} = { \purple{ \tt{ {X₁}^{2} + {X₂}^{2} + 2X₁X₂}}}[/tex]
The bar graph shows how we spend our leisure time. Use the graph to represent the set of leisure activities in
which participation exceeds 59% using the roster method.
Choose the set of leisure activities in which participation exceeds 59%
O (Playing Sports, Home Improvement, Amusement Parks, Gardening, Movies, Exercise)
O (Movies, Exercise)
O (Exercise)
O (Gardening, Movies, Exercise)
an example
6
Get more help.
% Households Participating in Activity
Exercise
Movies
Gardening
Amusement Parks
Home Improvement
Playing Sports)
Sport Events
61%
60 %
55%
51%
47%
39 %
37%
Clear all
bl
C
Therefore, the set of leisure activities in which participation exceeds 59% can be written using roster - form as follows -
A = {Exercise, movies}.
What is Bar graph?A bar graph can be defined as a chart or a graphical representation of data, quantities or numbers using bars.
Given is a bar graph that shows the time spend in leisure activities.
The set of leisure activities in which participation exceeds 59% can be represented in roster form by writing all such activities one by one separated by commas inside the parenthesis bracket { }. From the bar-graph it is clear that the activities in which participation exceeds 59% are Exercise and movies. In the roster form, we can write them as -
A = {Exercise, movies}.
Therefore, the set of leisure activities in which participation exceeds 59% can be written using roster - form as follows -
A = {Exercise, movies}.
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Unit 1 geometry basics
Homework 5 angle relationships
Answer:
Where is the question?
Mr. McDahl has planned a day of independent work for his English students when they next have a substitute teacher. One-third of the students choose to work on an essay. One-half of the remaining students choose to read. The remaining 5 students work on vocabulary. How many students are present in the class on that day?
The total number of student present in the class is 15.
How to express the number of student in the class?One-third of the students choose to work on an essay.
Let
x = the total number of student in the class
Therefore,
student that takes essay = 1 / 3 x
One-half of the remaining students choose to read.
Therefore, the expression is as follows
student that choose to read = 1 / 2(x - 1 / 3 x) = 1 / 2( 3x - x/ 3) = 1 / 2(2 / 3 x) = 2 / 6 x = 1 / 3x
The remaining 5 students work on vocabulary. Therefore, the expression is as follows:
Student that works on vocabulary = x - 1 / 3 x - 1 / 3 x
5 = x - 1 / 3 x - 1 / 3 x
5 = 3x- x - x / 3
5 = x / 3
x = 15
Therefore,
the student present in the class = 1 / 3 (15) + 1 / 3(15) + 5
the student present in the class = 5 + 5 + 5
the student present in the class = 15
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The diameter of a circular rug is 7 m. Find the area it will cover.
The area covered by circular rug of diameter 7 is 38.5 m².
What is the area of a circle?Circle is locus of points equidistant from a center point. This distance from center to the boundary of circle is radius.
If r is the radius of a circle , then its Area = π(r²)
Given that a circular rug has diameter = 7 m
Then, Let radius of circular rug be r ,r = diameter /2
r = 7/2 m
Area = π(7/2)² = (22/7)*(7/2)² m² = 38.5 m²
Therefore , Area of the circular rug is 38.5 m²
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# Simplify the following using the law of indices :
[tex]2a \times 3a {}^{2} [/tex]
Simplifying the given value using the law of indices is 6[tex]a^{3}[/tex]
2a * 3[tex]a^{2}[/tex]
=6[tex]a^{3}[/tex]
Index laws are the rules for simplifying expressions involving powers of the same base number.
Here are the essential steps to follow to simplify an algebraic expression:
Remove parentheses by multiplying factors.
Use exponent rules to get rid of parentheses in terms with exponents.
Combine like terms by adding coefficients.
Combine the constants.
Here's differently to explain it: The is used to refer to a specific or particular member of a group. for instance , "I just saw the foremost popular movie of the year." There are many movies, but just one particular movie is the most popular.
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A coffee company wants a new flavor of Cajun coffee. How many pounds of coffee worth $10 a pound should be added to 30 pounds of coffee worth $4 a pound to get a mixture worth $6 a pound? To get a mixture worth $6 a pound, pounds of coffee should be added. (Type an integer, proper fraction, or mixed number.) what is this answer please need help
The weight of coffee worth $10 to be added to mixture to worth $6 a pound is 15 pounds the mixture will be 15 pounds
Let the weight of coffee worth $10 to be added to mixture be x pounds
The weight of coffee worth $4 to be added to mixture is 30 pounds
We want a mixture that worth $6 a pound
The weight of mixture of coffee worth $ 6 is the sum of $10 coffee and $4 coffee
= x + 30
From the above equation we can form a linear equation
X 10 + 30 ×4 = (x+ 30) 6
10x + 120= 6x +180
10x-6x= 180 -120
4x = 60
X= 15
Hence, the weight of coffee worth $10 to be added to mixture to worth $6 a pound is 15 pounds
what's a linear equation ?
A linear equation only has one or variables. No variable in a linear equation is raised to a strength greater than 1 or used because the denominator of a fraction. while you discover pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all the factors lie at the same line
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Question 41
By the time Janet pays off the loan, what is the total cost of her trip?
Question 4 options:
$3,500
$4,441.17
$3,681.42
$3,685.05
Question 5
What is the equation to find your new balance after each month?
Question 5 options:
New balance = Previous balance - Interest paid
New balance = Previous balance - Principal paid
New balance = Principal paid - Interest paid
New balance = Previous balance - Total monthly payment
Доброе утро, отве $3,500
[estimate] 245.7+5.8=?
Answer:
estimate 245.7+5.8
251.5
Travis orders a new streaming system. He must pay $26 to join the service
then pays $6 per month. Write a numerical expression to represent Travis'
cost for 6 months of the stream service.
240 % of a number is 68000, what is that number
Answer:
28333.33
Step-by-step explanation:
68000/240% = 28333.33333333333
= 28333.33
A deck of cards contains RED cards numbered 1,2,3,4 and BLUE cards numbered 1,2,3,4,5. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.
Drawing the Blue 4 is an example of which of the following events? Select all correct answers.
Answer: what is question here?
Step-by-step explanation:
Where are answers?
For f(x) = 2 - x and g(x)= 3x +x+5, find the following functions.
a. (fog)(x); b. (gof)(x); c. (fog)(2); d. (gof)(2)
a. (fog)(x)=-3x²-x-3
(Simplify your answer.)
b. (gof)(x) = 3x² - 13x+19
(Simplify your answer.)
c. (fog)(2)= -17
d. (gof)(2)= ?
The answers are below.
a) (fog)(x) = f(g(x)) = 2 - ( 3x² +x+5) = -3x² - x - 3
b) (gof)(x) = g(f(x)) = 3*(2 - x)² + (2 - x) +5 = 3x² - 13x + 19
a) (fog)(2) = -3x² - x - 3 = -3*4 - 2 - 3 = -12 - 2 - 3 = -17
b) (gof)(2) = 3x² - 13x + 19 = 3*4 - 13*2 + 19 = 12 - 26 + 19 = 5
How to find the following functions?Just replace evaluate the function g(x)= 3x² +x+5 insode of the function f(x) = 2 - xfor the first one.
a) (fog)(x) = f(g(x)) = 2 - ( 3x² +x+5) = -3x² - x - 3
b) (gof)(x) = g(f(x)) = 3*(2 - x)² + (2 - x) +5 = 3x² - 13x + 19
ok, now that you have these two values, just evaluate the equations in x = 2 to get the rest.
a) (fog)(2) = -3x² - x - 3 = -3*4 - 2 - 3 = -12 - 2 - 3 = -17
b) (gof)(2) = 3x² - 13x + 19 = 3*4 - 13*2 + 19 = 12 - 26 + 19 = 5
These are the outcomes when we evaluate the compositions in x = 2.
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the bookstore sold 8 books for 66$ at that rate how much would one book be.
Evaluate 5x, for x = 9
Answer:
Step-by-step explanation:
5(9) = 45
∠A and \angle B∠B are supplementary angles. If m\angle A=(2x-4)^{\circ}∠A=(2x−4) ∘ and m\angle B=(4x-14)^{\circ}∠B=(4x−14) ∘ , then find the measure of \angle A∠A.
The measure of angle A is 62 degrees
Supplementary anglesSupplementary angles are angles that sunset up to 180 degrees. For instance, if A+B = 180, then A and B are supplementary
The sum of supplementary angles is 180 degrees such that;
<A + <B = 180
Given the following parameters
<A = 2x-4
<B = 4x-14
Substitute
2x-4 +4x-14 = 180
6x - 18 = 180
6x = 198
x = 198/6
x = 33
<A = 2x - 4
<A = 2(330 - 4
<A = 62 degrees
Hence the measure of angle A is 62 degrees
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HELP 65 POINTSS!! Answer BOTH parts of the question by drawing on the following coordinate plane. For each of the transformations, use the ORIGINAL pre-image to make the new image.
(a) Draw the image of ∆PQR after a rotation of 90° clockwise about the origin. Label the image ∆P'Q'R'.
(b) Draw the image of ∆PQR after a reflection across the y-axis. Label the image ∆P''Q''R''.
Using translation concepts, the transformed triangles are given in the graph at the end of the answer.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x). Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis, or rotations of a degree measure around the origin.
For this problem, the coordinates of triangle PQR are given as follows:
P(-1,-1), Q(-3,-2), R(-3,-4).
The rule for a 90º clockwise rotation around the origin is given by:
(x,y) -> (y,-x).
Hence the coordinates of triangle P'Q'R' are given by:
P': (-1,-1) -> (-1,1).Q': (-3, -2) -> (-2, 3).R' : (-3, -4) -> (-4, 3).The rule for a reflection over the y-axis is:
(x,y) -> (-x,y).
Hence the coordinates of triangle P''Q''R'' are given by:
P'': (-1,-1) -> (1,-1).Q'': (-3, -2) -> (3, -2).R'' : (-3, -4) -> (3, -4).Both triangles are given in the graph at the end of the answer.
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-3+p/7=-5 help step by step please ???
Writing proportional equations from tables
Give the domain and range of the relation.
{(6, 6), (11, -5), (3, 4), (3, -3)}
Answer:
Domain: {3, 6, 11}
Range: {-5, -3, 4, 6}
Step-by-step explanation:
The domain is the set of x values and the range is the set of y values.
Part C Explain the similarities and the differences between the two relationships in this situation.
Answer:
well I can't really answer I'm just gonna give you an example say the the difference between the relationship and situation about cups the relationship would be the cup and the situation is the size
what value of x makes 6e^4x = 14 true?
For the given equation 6e^4x = 14, the value of x is [tex]x = ln\frac{3^{3/4} * \sqrt[4]{7} }{3}[/tex]
How to Find x's Value?Getting x alone on one side of the equation and everything else on the other side will be the first step towards solving for x. The golden rule of algebra states that everything done to one side of an equation must also be done to the other.
Apply arithmetic operations to both sides of the equation to bring the variable to one side and all other values to the other side in order to find the value of x. To determine the outcome, simplify the values.
For the given equation,
6e^4x = 14
[tex]x = ln \frac{3^{3/4} * \sqrt[4]{7} }{3}\\ \\x = ln\frac{3^{3/4} * \sqrt[4]{7} }{3}[/tex]
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Find the equation of a line parallel to y=−4x+3 that contains the point (3,−3).
HELPPP
Find x and y in the following figure.
Answer:
x=48, y=12
Step-by-step explanation:
Angles in a triangle add to 180°.
In triangle AOD,
[tex]90+x-6+x=180 \\ \\ 2x-6=90 \\ \\ 2x=96 \\ \\ x=48[/tex]
Similarly, in triangle COB, y=12.
which data set would be best represented by a line graph?
j the change i population of a particular city over the last 100 years
k. the percentage of recent u.s. immigrants from different continents
l. the numbger of people living in each region of a state
m. the wages in dollars per hour o store employees
n. the heights oan weights of people in a city
The data set which would be best represented by a line graph is; Choice j: The change in population of a particular city over the last 100 years.
Which is best represented by a line graph?It follows from the task content that the data set which is best represented by a line graph is.to.he identified.
On this note, since choice J measures the change in a dependent quantity, population according to a change in the independent variable, time.
Consequently, choice J is best represented by a line graph.
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A circle is centered at the origin and has a radius of 4 units. Which points on the circle have a y -coordinate of 3?
Answer:The points on the circle which have an x-coordinate of 1 are:. (1,+√15) and (1,-√15)
Step-by-step explanation:
The points on the circle which have an x-coordinate of 1 are:. (1,+√15) and (1,-√15)
The equation of a circle usually takes the form;
(x-a)² + (y-b)² = r²
where a and b are x- and y- coordinates of the center of the circle.
In this scenario, the center is at the origin (0,0).
In essence, the points on the circle which have an x-coordinate of 1 can be evaluated as follows;
(1-0)² + (y - 0)² = 4²
1 + y² = 16.
y² = 15
y = ±√15.
The points on the circle which have an x-coordinate of 1 are:. (1,+√15) and (1,-√15)
help please asap i need it
R= S If m R =3x +5 an m S =5x-25 solve for x and find m R
The values of x and m∠R are 15 and 50 respectively.
How to determine the valuesFrom the information given, we have the following parameters;
R = Sm ∠ R = 3x + 5m ∠ S = 5x - 25Now, let's equate the angles
m ∠ R = m ∠ S
3x + 5 = 5x - 25
collect like terms
3x - 5x = -25 - 5
subtract like terms
-2x = - 20
Make 'x' the subject
x = -30/ -2
x = 15
But m ∠ R = 3x + 5 = 3(15) + 5 = 45 + 5 = 50
Thus, the values of x and m∠R are 15 and 50 respectively.
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15 points
what is 1+1 guys
Answer:
2
Step-by-step explanation:
In a poll of 225 randomly selected U.S. adults, 119 said they favored a new proposition. Based on this poll, compute a 95% confidence interval for the proportion of all U.S. adults in favor of the proposition (at the time of the poll). Then find the lower limit and upper limit of the 95% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.
Lower Limit:
Upper Limit:
Lower limit of 95% confidence interval is 0.464 and upper limit of 95% confidence interval is 0.594
What is Z value of 95% confidence interval and how to find 95% confidence interval?
A Z value is a numerical measure of how far is an individual score is from the mean score, within a normal distribution.
The Z value for 95% confidence interval is Z=1.96.
Let p the estimated proportion of people in favor of a proposition and n be the sample size, n = 225
Marginal error = [tex]Z\sqrt{\frac{p(1-p)}{n} }[/tex]
Lower limit of 95% confidence interval = Z - Marignal error
Upper limit of 95% confidence interval = Z + Marginal error
Given that in a poll of 225 randomly selected U.S. adults, 119 said they favored a new proposition,
The estimated proportion of people favored a new proposition is, p =[tex]\frac{119}{225}[/tex]
Then, p = 0.529
Marginal Error = [tex]Z\sqrt{\frac{p(1-p)}{n} } = 1.960\sqrt{\frac{0.529(1-0.529)}{225} }[/tex] = 0.065
Therefore,
Lower limit of 95% confidence interval =0.529-0.065 = 0.464
Upper limit of 95% confidence interval = 0.529+0.065 = 0.594
And the 95% confidence interval would be given (0.464,0.594).
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3y is greater than or equal to 9
[tex]3y \geqslant 9 \\ y \geqslant \frac{9}{3} \\ y \geqslant 3[/tex]
Answer: y > 3
Step-by-step explanation: 3y > 9
3y/3 > 9/3
y > 3
