Answers
The given equation m<2 = 28⁰ so here in this case option A is correct .
What three characteristics do angles have?A transversal's corresponding angles are equal when it crosses two parallel lines.Angles that are vertically opposite are equal.All of the interior angles alternately are equal.Every other external angle is equivalent.On the same side of the transversal, the pair of internal angles is additional.Simplification:
<1 = <3
<1 = 5x + 8 ………………equation 1.
<3 = 12x – 20 ………………equation 2.
By angle property <1 = <3 [ given ]
and
<1 = <2 [ vertically opposite angles ]
We have some options so we can use it to get answer more quickly:
Put <1=28 and <3=28
And solve it for X.
28 = 5x + 8 Eq1
20=5x => x=4
28 = 12x - 20 Eq2
28 + 20 = 12x
48 = 12x
4 = x
X = 4
As <1 = <2 ( vertically opposite angles )
From the first equation <1 = <2 = 5x + 8 ......( equation 3)
Putting the value of x = 4 in (equation 3)
<2 = 5* 4+ 8
<2=28
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Related Questions
Jade ha 28 triangle card. He ha 4 time a many trading card a jordan. How many trading card do they have altogether
Answers
Jade and Jordan both have a total of 35 trading cards altogether.
Given, Jade has 28 trading cards. He has 4 times as many trading cards as Jordan.
As, Jade has 28 trading cards
Let Jordan has 'x' trading cards.
Now, as Jade has 4 times as many trading cards as Jordan.
So, 28 = 4x
4x = 28
x = 7
So, Jordan has 7 trading cards.
Now, they both have a total of 35 trading cards altogether.
Hence, Jade and Jordan both have a total of 35 trading cards altogether.
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if f(x) = 2x - 4 find f(a^2)
Answers
Answer: [tex]f(a^2)=2a^2-4[/tex]
Step-by-step explanation:
Substituting [tex]a^2[/tex] for [tex]x[/tex], [tex]f(a^2)=2a^2-4[/tex].
What happens if the slope is undefined? Provide an example of two points that would be on a line with an undefined slope.
Answers
What happens when the slope of a line is undefined is that, the line is a vertical line that crosses the x-axis.
The points could be (1, 5) and (1, 10)
How to explain the undefined slope?It is known that linear equations have slopes
These slopes are the average rate of change of the function
The values of these slopes can be
ZeroPositive or negativeUndefinedWhen the slope is undefined, it means that the line is a vertical line
An example of the vertices on such line is (x, y) and (x, y + n)
See that the x coordinate remains constant, while the y coordinate changed
Take for instance, a line that passes through (1, 5) and (1, 10) would have an undefined slope
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Cesium-137 has a half-life of about 30 years. if we begin with 200 mg of cesium-137, will it take more or less than 230 years until only 1 milligram remains?
Answers
For 200mg of Cesium-137, it will be 229 years which is less than 230 years until only 1 milligram remains.
The amount of time a radioactive item takes to decay is known as the material's half-life.
The first-order kinetics for a half-life is given as 0.693 / k.
Given half-life = 30 years,
k = rate-constant =?
30 = 0.693 / k
k = 0.0231 years ⁻¹
The integrated rate law for first-order kinetics is given as follows:
A = A₀[tex]e^{-kt}[/tex]
k = rate constant of the reaction
A₀ = Concentration of reactant initially = 200 mg
A = t = 1 mg
Putting all values in the equation will give,
t = 229 years.
Thus, Cesium takes 229 years to decay to reach from 200milligram to 1 milligram in weight.
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gold miners in alaska have found, on average, 12 ounces of gold per 1,000 tons of dirt excavated with a standard deviation of 3 ounces. assume the amount of gold found per 1,000 tons of dirt is normally distributed. if the miners excavated 1,000 tons of dirt, how little gold must they have found such that they find that amount or less only 15% of the time?
Answers
Miners excavated 1000 tons of dirt, and they found 8.892 ounces of gold.
Let X stand for the random variable determining how much gold is discovered for every 1,000 tonnes of dirt dug up. After that, we learn that:
X ~ N (12, 3²)
Let K be the required amount of discovered gold. 15% of the time, less than K worth of gold is discovered. Next, we have:
P (X ≤ K) = 0.15
When we transform this into a typical normal variable, we get:
P [Z ≤ (K - 12) / 3] = 0.15
From the common normal tables, we can deduce:
P (Z ≤ -1.036) = 0.15
Comparing the two equations above, we obtain:
(K - 12) / 3 = -1.036
K = 12 - (1.036 * 3) = 12 - 3.108 = 8.892
As a result, 8.892 ounces of gold are needed.
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work out
5/6 × 48
120 x 2/3
Answers
Answer:
1. 130/6
2. 240/3
Step-by-step explanation:
make the whole numbers into a fraction by putting 1 as the denominator.
48/1.
then multiply together.
48 x 5 = 130
6 x 1 = 6
130/6
do the same with the other
120 x 2 = 240
1 x 3 = 3
240/3
Answer:
40
80
Step-by-step explanation:
5/6 × 48
5 × 48 = 240
240/6
= 40
120 × 2/3
120 × 2 = 240
240/3
= 80
Write the converse, inverse, and contrapositive of the following conditional statement.
"If I eat too much candy, I will get sick."
Answers
Converse: If I get sick, I ate too much candy.
Inverse: If I don't eat too much candy, then I will not get sick
Contrapositive: If I do not get sick, I did not eat too much candy.
What is the conditional statement?
'If p, then q's statements are examples of conditional statements. In this case, "p" stands for "hypothesis" and "q" for "conclusion."
A converse statement is one that is produced by flipping a conditional statement's hypothesis and conclusion.
So, Converse: If I get sick, I ate too much candy.
An inverse assertion presupposes that each of the original claims is true.
So, Inverse: If I don't eat too much candy, then I will not get sick.
When you reverse the hypothesis and the conclusion in a statement, you have a contrapositive statement that refutes both propositions.
So, Contrapositive: If I do not get sick, I did not eat too much candy.
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Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.
Two friends visited a taffy shop. Gordon bought 8 pounds of strawberry taffy and 3 pounds of banana taffy for $66. Next, Levi bought 10 pounds of strawberry taffy and 3 pounds of banana taffy for $78. How much does the candy cost?
I NEED AN ANSWER ASAP LIKE BEFORE TOMORROW
Answers
The equation formation is the form of a real word problem for some of them, thus the cost of candy for the given condition is $6.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
As per the given,
Let's say the cost per pound of strawberry taffy is "s" and the cost per pound of banana taffy is "b".
Then, the cost of 8 pounds of strawberry taffy and 3 pounds of banana taffy will be,
8s + 3b = 66
And,
The cost of 10 pounds of strawberry taffy and 3 pounds of banana taffy will be,
10s + 3b = 78
By solving both above equations,
2s = 12
s = $6
3b = 78 - 10(6)
b = $6
Hence, "The equation formation is the form of a real word problem for some of them, thus the cost of candy for the given condition is $6".
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1. Given that p=5xy + q, express y in terms of p,q and x.
2.Given that p=7x +4q, express x in terms of p and q.
Answers
[tex]\huge\mathcal{♨Answer♥}[/tex]
Answer is on the attachment...
☆...hope this helps...☆
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The equation p=5xy+q can be expressed in terms of p,q, and x as y = (p-q)/5x.
The equation p=7x+4q can be expressed in terms of p and q as x = (p-4q)/7x.
Given in the first equation, p = 5xy+q
p-q=5xy
y=(p-q)/5x
Here we need to express y in terms of p,q, and x so we need all these three variables on one side of the equation and y on the other side. Initially we more q to the left-hand side of the equation which makes it p-q=5xy. Now we divide the left-hand side and the right-hand side by 5x making the equation y = (p-q)/5x.
Similarly in the second equation, p = 7x+4q
p-4q = 7x
x = (p-4q)/7
Here we need to express x in terms of p and q so we need all these two variables on one side of the equation and the term x on the other side. First, we will move 4q to the left-hand side of the equation which will make it p-4q=7x. Now, we will divide the whole equation by 7 which will make the equation x = (p-4q) / 7.
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a question posted on the lycos web site on june 18, 2000 asked visitors to the site to say whether they thought that marijuana should be legally available for medicinal purposes. what is the most likely issue with the sample they collected?
Answers
The most likely problem with the sample they gathered to determine whether they believed marijuana should be lawfully available for medical uses has to do with the survey's likelihood of being "biased".
Defined the term biased survey?This phrase describes the different factors and biases that may affect survey results. Either biased responses are deliberate or unintentional, they make survey results less valuable because they are erroneous.With participant surveys that ask for self-reporting, this might become a specific problem.Any survey's bias response is crucial since it determines the validity of the data, so preventing bias is absolutely necessary if you want insightful survey responses.Among the most prevalent types is leading bias. As an illustration, consider the scenario in which your question concerns customer happiness and the response alternatives are Very Satisfied, Satisfied, and Dissatisfied. Results in this case may be affected by bias.Thus, the most likely problem with the sample lycos web site gathered to determine whether they believed marijuana should be lawfully available for medical uses has to do with the survey's likelihood of being "biased".
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The sum of 12 and a number. Use n for the variable. Responses 12/n 12/n 12 x n 12 x n 12 - n 12 - n 12 + n
Answers
The expression for the sum is (12 + n).
We are given two terms to add. The first number is 12, which is an integer. The second number is unknown. An integer is a number that has no decimal or fractional portion and can be negative or positive, including zero.
The second number is represented by a variable "n". A variable is a mathematical object's symbol and placeholder. A variable can, for example, represent an integer, a vector, or other data.
We need to write the expression for the sum of these two numbers. Let S represent the sum of these two numbers.
S = 12 + n
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A rectangle container with a base area of 200cm2 is filled with water to a height of 15cm. If the container has a height of 20cm, how much water ( in litres) should be added to it to fill it completely?
Answers
If the container's height is 20 cm , the amount of water that should be added to fill it completely is 1 liter .
In the question ,
it is given that
the base area of the rectangular container is = 200 cm²
the total height of the container = 20 cm
the height at which the water if filled = 15 cm
the height of water that is needed to be filled = 20 - 15 = 5cm
So , the volume of water to be added is = base area × height
= 200 × 5
= 1000 cm³
= 1 Liter .... because 1000cm³ = 1 Liter
Therefore , If the container's height is 20 cm , the amount of water that should be added to fill it completely is 1 liter .
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Translation rule:
(x, y) (x + 2, y – 4)
Either draw in the translated image or write down the new coordinates for the translated image
Answers
Step-by-step explanation:
it is really simple :
every x is increased by 2, every y is decreased by 4.
C = (-4, 2) -> C' = (-2, -2)
R = (-5, -1) -> R' = (-3, -5)
T = (-1, 1) -> T' = (1, -3)
please hep me asap!!!
Answers
RP= 40 (62-22)
write down the probability of getting an odd number when you roll a 6 sided die
Answers
The probability of getting an odd number when you roll a 6 sided die is 1/2
How does probability explain work?
Simple terms, probability is the probability that an event will occur. When we do not even understand how an event will come out, we can analyze the probability or likelihood from several outcomes. Statistical is the analysis of events which match a posterior distribution.
What is the likelihood that the result of a roll of a standard six-sided die will be an odd number?
A cube with six faces makes up a standard six-sided die. They have the following numbers: 1, 2, 3, 4, 5, and 6. Any integer that is not divisible by two is an odd number. The odd numbers in this situation are 1, 3, and 5. The number of successful outcomes divided by the total number of possible outcomes can be represented as a fraction to represent the likelihood that any event will occur.
There are three correct answers to this puzzle, or the three odd integers. Additionally, there are six potential outcomes, ranging from one to six. When using standard six-sided die, there is a three-sixths, or three from out six, chance that the outcome will be an odd number.
Three can be divided by both three and six. As a result, this fraction can be expressed as one-half. One is equal to three divided by three. Additionally, two is equal to six times three. One-half or one in two chances exist that the result is strange.
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what does the adjusted r squared tell us about the relationship between sales, price, and advertising? the model explains about 90% of the variance in sales. the model explains about 60% of the variance in sales. the model explains about 80% of the variance in sales. the model explains about 70% of the variance in sales.
Answers
The modified r squared tells us more about the relationship among sales, price, as well as advertising by explaining approximately 60% of a variance in sales.
Define the term adjusted r squared?R-squared (R2) would be a statistical measure that quantifies the proportion of the variation explained from an independent variable other variables within a regression model for a dependent variable.
R-squared describes how much the variance with one variable describes the variance of the other. So, if a model's R2 is 0.50, the model's inputs can explain roughly half of a observed variation.A score of 70 to 100 shows that a specific portfolio closely reflects the underlying stock index, whereas a score of 0 to 40 indicates a relatively poor correlation the with index.Higher R-squared scores also suggest that beta measurements are more reliable. The volatility of either a security or portfolio is measured by beta.Thus, the modified r squared tells us more about the relationship among sales, price, as well as advertising by explaining approximately 60% of a variance in sales.
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The altitude of a triangular sign is 18 inches less than 3 times its base. Define the functions that describe the altitude and base of the triangle, and then use these functions to build an area function of the triangle
Answers
Functions to build an area function of the triangle , A = b2 + 2b.
What Altitude of a Triangle?A perpendicular line drawn from a triangle's vertex to its opposite side is the definition of a triangle's altitude. A triangle can be drawn with three altitudes because it has three sides. There are various types of elevations in triangles. When computing the area of a triangle, the altitude, also known as its height, is indicated by the letter.The section of a perpendicular line traced from a triangle's vertex to the side directly across from it is the triangle's altitude. The base of the triangle that the altitude touches forms a straight angle. It is often referred to as a triangle's height and is represented by the letter "h." The distance between the vertex and its opposing side can be calculated to determine its size. It should be remembered that every triangle has three altitudes that can be drawn from each of the vertices. See the intersection of the triangle's three elevations by paying attention to the triangle in the illustration below. The "Orthocenter" is this location.According to our question-
Let b = the base
altitude = 2b + 4
A = b(2b+ 4)/2
A = b(b + 2)
A = b2 + 2b
Hence, Functions to build an area function of the triangle , A = b2 + 2b.
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In this triangle, what is the value of x?
Enter your answer, rounded to the nearest tenth
Answers
Step-by-step explanation:
imagine a circle with the center at the vertex of the angle x, and the radius 72 ft.
cos(x) = 28/72 = 7/18 = 0.388888888...
x = 67.11461952...° ≈ 67.1°
slope of the line passing through (3,-4), (-5,2)
Answers
Answer:
[tex]\boxed{\sf Slope( m)=-\cfrac{3}{4}}[/tex]
Step-by-step explanation:
To find the slope between two points we'll use the Slope formula:-
[tex]\boxed{\sf \mathrm{Slope(m)}=\frac{y_2-y_1}{x_2-x_1}}[/tex]
______________
Given:-
(3,-4)(-5,2)Where,
[tex]\mathrm{\left(x_1,\:y_1\right)=\left(3,\:-4\right)}[/tex]
[tex]\mathrm{\left(x_2,\:y_2\right)=\left(-5,\:2\right)}[/tex]
[tex]\mathrm{m=\cfrac{2-\left(-4\right)}{-5-3}}[/tex] ← Subtract
[tex]\sf m=-\cfrac{6}{8}[/tex]
[tex]\sf m=-\cfrac{3}{4}[/tex]
Therefore, the slope of the line is m = - 3/4.
______________________
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a tank contains 200 liters of fluid in which 30 grams of salt is dissolved. brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 4 l/min, the well mixed solution is pumped out at a rate of 6 l/min. find the number a(t) of grams of salt in the tank at time t.
Answers
The number of grams of salt in the tank at time t is given by the differential equation [tex]A(t)=200-170e^{-\frac{1}{50}t}[/tex].
What is rate?The rate is basically a measurement of something's number, amount, or degree in relation to another item. Its the ratio of some quantity to some other quantity.
An equation with a function and one or more of its derivatives is referred to as a differential equation:
At the start, the tank contains A(0) = 30 g of salt.
Salt flows in at a rate of
(1 g/L) * (4 L/min) = 4 g/min
and flows out at a rate of
(A(t)/200 g/L) * (6 L/min) = 3A(t)/100 g/min
so that the amount of salt in the tank at time t changes according to
A'(t) = 4 - A(t)/50
So,
[tex]A'(t) = 4 - \frac{A(t)}{50}[/tex]
The solution of linear differential equation y' + ay = g(x) is in the form,
[tex]e^{ax}y=\int {e^{ax}g(x)} \, dx +c[/tex]
Now, putting the values,
[tex]a=\frac{1}{50} \\g(x)=4[/tex]
[tex]e^{\frac{1}{50}t}A(t)=\int {e^{\frac{1}{50}t}4} \, dt +c\\=4\int {e^{\frac{1}{50}t}} \, dt +c\\=4\times50e^{\frac{1}{50}t}+c\\=200e^{\frac{1}{50}t}+c\\[/tex]
Now,
[tex]A(t)=200+Ce^{-\frac{1}{50}t}\\[/tex]
Putting the initial value,
[tex]30=200+Ce^{-\frac{1}{50}(0)}\\\\200+C=30\\C=-170[/tex]
So, the function will be [tex]A(t)=200-170e^{-\frac{1}{50}t}[/tex].
Therefore, the number of grams of salt in tank at time t is given by differential equation [tex]A(t)=200-170e^{-\frac{1}{50}t}[/tex].
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50 POINTS
You are looking at starting a summer business mowing lawns to get started. You already need to purchase some items investing in your business. You already have a lawnmower, but below are the items you still need to purchase.
what is the total amount you plan to invest in your lawn mowing business? [__]
1. You just determined how much you are willing to invest to get your summer job started. Write an inequality to represent when you start making a profit if you charge $15 to mow one lawn.
2. at the end of the summer, you have mowed a total of 16 lawns right in equation that represents your total earnings. How much did you earn? [Show your work]
with investment costs taken into account, did you:
a. lose money
b. make money
Answers
Regarding the situation described, it is found that:
The total amount invested is of $25.
1. You start making a profit when 15x - 25 > 0.
2. You earned $215 with this work.
With the investment, you made money (option b).
What is the total amount investment?The investment was as follows:
Pack of 50 lawn bags for $10.Eye protecting glasses for $15.Hence the total amount invested was of:
10 + 15 = $25.
What is the profit inequality?The profit is given by revenue subtracted by costs.
In the context of this problem, the revenue and the cost functions are given as follows:
Revenue: R(x) = 15x (as you charge $15 to mow one lawn).Cost: C(x) = 25. (investment).Hence the profit function is:
P(x) = R(x) - C(x)
P(x) = 15x - 25.
You start making a profit when:
P(x) > 0.
15x - 25 > 0.
The amount you earned mowing 16 lawns is of:
P(16) = 15(16) - 25 = $215.
(positive profit, hence you made money).
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Beginning with the equation 3m=7 write the new equation produced by multiplying both sides by 3/8
Answers
Answer:
9/8 m = 21/8
or
9m/8 = 21/8
Step-by-step explanation:
3m = 7
3/8 × 3m = 3/8 × 7
9/8 m = 21/8
simplify by using order of operations 22 - (8 x 1) divided by (6 - 4) - 2
Answers
The value of the expression 22 - (8 x 1) divided by (6 - 4) - 2 is 0.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.
The expression given is:
22 - (8 x 1) divided by (6 - 4) - 2
= 22 - (8 x 1) ÷ (6 - 4) - 2
= [22 - 8] ÷ [2 - 2]
= 14 ÷ 0
= 0
The value is 0.
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the cost of a taxi ride consist of a flat fee plus a cost per mile. if 30 miles cost $20 and 50 miles cost $30, write a linear function that describes the cost of a trip, c, in terms of the number of miles, n. what is the cost per mile and what is the flat fee?
Answers
A linear function that describes the cost of a trip, c, in terms of the number of miles, n will be "c=0.60n+0.67n" and cost per mile is $0.6 and $0.67 and the flat fee is $50.
What is cost per mile?Once you are aware of your mileage and total expenses, calculating cost per mile becomes a straightforward equation. Your cost per mile is calculated by dividing your total expenses by the total number of miles you have driven. Your expenses per mile are influenced by your variable and fixed costs, so you should probably pay closer attention to how much you're shelling out for each mile your drivers cover. You can better understand your primary costs and produce more accurate bids for new contracts by knowing your expenses at this specific level.
Here,
cost per mile,
20/30=$0.67/mile
30/50=$0.60/mile
c=0.60n+0.67n
flat fee,
=$30+$20
=$50
The cost per mile is $0.6 and $0.67, and the flat rate is $50. A linear function that expresses the cost of a trip, c, in terms of the number of miles, n, will be "c=0.60n+0.67n".
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In the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work. (5 points)
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)
AB and CD are parallel lines, and PQ and PR are transversals which intersect AB at P and CD at Q and R. Angle APQ is labeled as 64 degrees, angle QPR is equal to x, angle PRD is equal to 110 degrees.
Answers
A) The value of the measure of angle x is; x = 55 degrees.
B) The way we got x is that the Internal angle between 2 parallel lines are equal and also that the three angles APO, x and BPR form a straight line and they sum up to 180 degrees.
What is the measure of the missing angles?A) From the given image attached, we see that the angle RPB can be calculated as;
m∠RPB = 180 - 120 = 60 degrees.
This is because sum of angles on a straight line sums up to 180 degrees.
Now, by definition of alternate angles, we can say that angle BPR is equal to 60 degrees.
Thus, the value of angle x is;
x = 180 - 60 - 65
x = 55 degrees.
B) From the given diagram, we can say that;
m ∠RPB + m < PRD = 180 degrees
This is because Internal angle between 2 parallel lines are equal.
Secondly the three angles APO, x and BPR form a straight line and they sum up to 180 degrees.
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Two families go to a zoo. The Smith family of two adults and three children pay £61. The Jones family of three adults and five children pay £96. Work out the cost of an adult ticket and the cost of a child ticket. In your working, let 'a' stand for an adult ticket and 'c' stand for a child ticket.
Answers
The cost of an adult ticket is £17 and a child ticket is £9.
Let's assume 'a' for an adult ticket and 'c' for a child ticket
The cost of tickets for the Smith family of 2 adults and 3 children is £61
Equating, [tex]2a+3c=61[/tex]
[tex]2a=61-3c[/tex]
Dividing by 2, [tex]a=30.5-1.5c[/tex] (equation 1)
Now, the cost of tickets for the Jones family of three adults and five children is £96
Equating, [tex]3a+5c=96[/tex] (equation 2)
Using equation 1, [tex]3(30.5-1.5c)+5c=96[/tex]
[tex]91.5-4.5c+5c=96[/tex]
[tex]91.5+0.5c=96[/tex]
[tex]0.5c=96-91.5[/tex]
[tex]0.5c=4.5[/tex]
[tex]c = \frac{4.5}{0.5}[/tex]
[tex]c=9[/tex]
Similarly, putting the answer of equation 2 in equation 1
we get, [tex]a=30.5-1.5c[/tex]
[tex]a=30.5-1.5(9)[/tex]
[tex]a=17[/tex]
Therefore, adult tickets cost £17 and child tickets cost £9
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Caina earned a scholarship of $6,000 next year. She also expects to receive a grant of $3,200 next year and will make another $400 per month working a part-time job. How much does she anticipate in income next year?
Answers
Caina anticipate in income next year $14000.
What is an income?
The amount of money, property, and other value transfers received over a predetermined period of time in return for goods or services is often referred to as income.
We have,
A scholarship of $6000 and a grant of $3200 together are $9200
6000 + 3200 = 9200.
She will make another $400 per month working a part-time job, so for 12 months she will make $400 × 12 = $4800.
All together will be $9200 + $4800 = $14000.
Therefore, She anticipate in income next year $14000.
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Solve the following proportion for u. 7/u=3/11 Round to the nearest tenth.
Answers
The solution for u in the expression given as 7/u = 3/11 is u = 25.7
How to determine the solution to the variable u in the expression?From the question, the algebraic expression is given as
7/u = 3/11
There is no constant to add to or subtract from the expression
So, the equation remains the same
7/u = 3/11
Multiply both sides of the equation by u
This gives
u * 7/u = 3/11 * u
Evaluate the products
So, we have the following equation
7 = 3/11u
Multiply both sides of the equation by 11/3
This gives
11/3 * 7 = 3/11u * 11/3
Evaluate the products in the above expression
77/3 = u
So, we have
25.6667 = u
Approximate
25.7 = u
Rewrite as
u = 25.7
Hence, the solution is u = 25.7
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given three sets: a, b and c. a has 19 elements. b has 15. c has 14. the pair-wise intersections have 7 elements. the three sets share 2 elements. how many elements are there in total?
Answers
29 elements are there in total for sets A, B, and C
Since we are provided the values of pair-wise intersections which are: |A∩B|=|A∩C|=|B∩C|= 7 and the three sets have common is |A∩B∩C| = 2 and individual sets were having |A|=19 ,|B|=|15 and |C|=14. The formula we are referring to for calculating the total elememets altogether is A∪B∪C|=|A|+|B|+|C|−|A∩B|−|A∩C|−|B∩C|+|A∩B∩C|, where |A|,|B|,|C|quantity for individual sets,|A∩B|,|A∩C|,|B∩C| are the intersection subsets in a pairwise, and|A∩B∩C| is the intersection subset for the three sets altogether.
So substituting the know values in the above format, we get
=> |A∪B∪C|= 19+15+14-7-7-7+2
=>|A∪B∪C|=29
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Determine whether the relation is a function.
(0, 1) (5, 6) (7, 9) (8, 9)
A. Not a function, there is not a unique y-value for each x-value
B. Not a function, there is not a unique x-value for each y-value
C. Function, there is a unique x-value for each y-value
D. Function, there is a unique y-value for each x-value
Answers
Answer:
C. Function, there is a unique x-value for each y-value