Answer: 60
(Sorry for not showing my work)
What is Set-builder and give example
It is just a way of describing a set.
You put the set in braces (sometimes called curly brackets), {}, which is a typical way to show that you are talking about sets.
Here are a few examples:
{x| x > 0} This is read: The set of all x such that x is greater than 0.
Reading it character by character:
{ — shows you that we are talking about a set, and it sort of opens up, or starts the set
x — tells you that we are talking about a set of elements x
| (and a : is also used sometimes) — such that (this is just notation). This says that you are about to be given to rule to see what “rule” or characteristic the x’s will have.
x > 0 — This just says what characteristics x must have to be in this set. So 7, 1/2, .3 and pi are all in this set, while -1, 0, -radical(2) are not.
So this example is just how you would use set builder notation to talk about the set “the positive real numbers”
So why use it? Because it can describe more complicated sets much more succinctly.
2. {3n + 1 | n is an element of the natural numbers} (and this could be written more succinctly if I used certain symbols) would be the set {4, 7, 10, 13, …}
3. {n^2 + n + 1 | n is an element of the natural numbers} would be the set {3, 7, 13, 21, …} and notice here, if you didn’t see the set builder notation, you might have trouble knowing what the next term in the set was.
Find the value of x in the following
Answer:
x = -16
Step-by-step explanation:
The angles are corresponding angles and when the lines are parallel, corresponding angles are equal.
8x+260 = 132
Subtract 260 from each side.
8x+260-260 = 132-260
8x = -128
Divide each side by 8.
8x/8= -128/8
x = -16
Answer:
x = -16
Step-by-step explanation:
We know that, corresponding angles in parallel lines are equal.
Accordingly,
8x + 260 = 132
Subtract 260 from each side.
8x = 132 - 260
8x = -128
Divide both sides by 8.
x = -16
HelloI need help with a problemSimplify the expressionv^3+125/v^2-25
We are given the following expression:
\(\frac{v^3+125}{v^2-25}\)To simplify the expression we will factor the numerator and denominator. To factor the numerator we will use the following:
\((a^3+b^3)=(a+b)(a^2-ab+b^2)\)Applying the formula we get:
\(\frac{v^{3}+125}{v^{2}-25}=\frac{(v+5)(v^2-5v+25)}{v^2-25}\)Now, we will factor the denominator using the following:
\((a^2-b^2)=(a+b)(a-b)\)Applying the rule we get:
\(\frac{(v+5)(v^2-5v+25)}{v^2-25}=\frac{(v+5)(v^2-5v+25)}{(v+5)(v-5)}\)Now, we can cancel out the "v + 5", and we get:
\(\frac{(v+5)(v^2-5v+25)}{(v+5)(v-5)}=\frac{v^2-5v+25}{v-5}\)and thus we get the simplified form of the expression.
After going shopping we had only 10% of our money left. We spent $180 how much money did we have at first
Answer:
Answer
Step-by-step explanation:
if you spent 180 dollars, wguch was 90 percent of your money, you want to mark it up 10 percent. 180 x 1.10 is 198
Easy points
Before you answer this question try and rotate your foot clockwise and write the number six. Hard right.
Math question now.
When I am 6 my brother is half my age. How old will my brother be when I am 70?
Answer:
67
Step-by-step explanation:
Your brother is three years younger than you, so when you're 70, he'll be three years younger, 67.
~theLocoCoco
Answer:
35 years old
Step-by-step explanation:
Since your brother is half your age, that means it should be exact. 70 is not a number than would have an even split, so you would have to have either an odd number such as 5. 40 plus 40 is 80, which is to high. 30 plus 30 is 60, too low. 35 plus 35 is 70 exact. Hope this helped! Also, I dont know if this was trick question, either way, he should be half. So if you were 10, he would be 5. If you were 18, he would be 9.
If we list all the numbers that can be generated by the numbers 2, 4, 5, 6, 7, and 8, and arrange
them in the increasing order what position will the number 872456 be placed?
For example, if we consider the numbers that can be generated by the numbers 1, 4, and 5, and
arrange them, we will get the following ordering of the numbers:
1) 145
2) 154
3) 415
4) 451
5) 514
6) 541
We see that 145 is in the first position, 154 is in the second position, and so on
Using the arrangements formula, it is found that the number is in position 697.
-----------------------
The number of possible arrangements of n elements is given by:
\(A_n = n!\)
In this problem, the numbers are sorted as:
Numbers in which the first is not 8.Numbers in which the first is 8, and the second is not 7.872456 is the first number that starts with 87.Number of elements which we do not start with 8.
For the first digit, there are 5 possible options, which are 2, 4, 5, 6 and 7.For the remaining five, it is arrangement of 5.Thus:
\(n = 5 \times 5! = 600\)
Numbers that start with 8, and the second element is not 7.
For the second digit, there are 4 possible options, which are 2, 4, 5 and 6.For the remaining four digits, it is an arrangement of 4.Thus:
\(n_2 = 4 \times 4! = 96\)
Total:
\(600 + 96 = 696\)
872456 is the first number which starts with 87, thus it is at position 697.
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what is 1,000 times 0.75
Answer:
Bruh just open a calculator app lol
The test scores for a group of students are shown.
60, 69, 79, 80, 86, 86, 86, 89, 90, 100
Calculate the five number summary of the data set? Minimum = First Quartile (Q1) = Median = Third Quartile (Q3) = Maximum = What is the interquartile range (IQR) Which test score is an outlier?
60
69
90
100
Answer:
Minimum=60
First Quartile(Q1)=79
Median=86
Third Quartile (Q3)=89
Interquartile range (IQR)=10
1. Find (f(g(2)) for f(x)= 3x² and g(x)= 5 - x.
Answer: 27
Step-by-step explanation:
Sang invested some money at 7% interest. Sang also invested $193 more than 2 times that amount at 9%. How much is invested at each rate if Sang receives $444.62 in interest after one year? (Round to two decimal places if necessary.)
The interest receive for a simple interest account after t years is given by:
\(I=Prt\)where P is the princial (the amount invested), r is the interest rate in decimal form and t is the time.
Let x be the amount invested in the first account which has a 7% interest rate, the interest given for this account is:
\(I_1=0.07x\)We know that in the second account the investment is 193 more than two times the amount that the investment of the first account, this means that in the second account the principal is 2x+193, then the interest in this account which has a 9% interest rate is:
\(\begin{gathered} I_2=0.09(2x+193) \\ I_2=0.18x+17.37_{} \end{gathered}\)We know that the sum of the interest is $442.62 then we have:
\(\begin{gathered} 0.07x+0.18x+17.37=444.62 \\ 0.25x=444.62-17.37 \\ 0.25x=427.25 \\ x=\frac{424.25}{0.25} \\ x=1709 \end{gathered}\)Once we know the value of x we can plug it in the expression for the pincipal in the second account:
\(2(1709)+193=3611\)Therefore, Sang invested $1709 in the 7% account and $3611 in the 9% account.
Domain and Range of Functions with Examples, Problems, and Solutions
The function is f(x)=2x
The domain is {1,2,3}
Then the range will be {2,4,6}
Given that,
We have to find what is domain and range of the function.
We know that,
The components of a function are its domain and range. The domain of a function is the set of all possible input values, whereas the range of a function is its potential output. Range, Domain, and Function. A is the domain and B is the co-domain if a function f: A⇒ B exists that maps every element of A to an element in B. The representation of an element 'a' under a relation R is given by 'b', where (a,b) R. The range of the function is the set of photos. In general, a function's domain and range are denoted as follows: Range(f) = {f(x): x ∈domain(f)} and domain(f) = {f(x): x ∈R}
So,
The function is f(x)=2x
The domain is {1,2,3}
Then the range will be {2,4,6}
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Fifty-five percent of the members of the junior varsity swim team wear glasses. Of the team members who do not wear glasses, 30 percent of them are in the 10th grade.
To the nearest whole percent, what is the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade?
14%
17%
55%
67%
Answer: 14%
Step-by-step explanation: To find the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade, we divide the number of members who meet both criteria (14) by the total number of members (100) and multiply by 100 to get a percentage. Therefore, the probability is approximately 14%.
- Lizzy ˚ʚ♡ɞ˚
The sum of three consecutive even numbers is 120. What is the smallest of the three numbers?
Answer:
Step-by-step explanation:
the consecutive are 39,40,41 and the smallest here is 39
Hope this helped
Joe is unpacking medical supplies. He is told to evenly distribute strep-test kits to each of the 15 exam rooms. If there 3 boxes, each with 20 kits, how many kits can he place in each room?
4 per room
20 × 3 = 60
60 ÷ 15 = 4
Christie has $200 in her bank account. Every month, she deposits $20 into her account.
The equation of the line that models the amount of money, y, in her account x months from now is y = x .
Answer:
y = 20x + 200
Step-by-step explanation:
The 200 is the constant. It is only added once, but the monthly deposits are added at 20 every month.
After 1 month:
y = 20x + 200
y = 20(1) + 200
y = 20 + 200
y =220 money deposited.
After 2 months:
y = 20x + 200
y = 20(2) + 200
y = 40 + 200
y =240 money deposited.
After 3 months:
y = 20x + 200
y = 20(3) + 200
y = 60 + 200
y = 260 money deposited
And so on, and so on, and so on...
1.9x-0.8y=10 what is x
Answer: x = 0.421053y+5.263158
Step-by-step explanation:
x = 0.421053y+5.263158
Answer:
x=0.042105y+10/19
Step-by-step explanation:
Let's solve for x.
19x−0.8y=10
Step 1: Add 0.8y to both sides.
19x−0.8y+0.8y=10+0.8y
19x=0.8y+10
Step 2: Divide both sides by 19.
19x/19=0.8y+10/19
x=0.042105y+10/19
Help find the perimeter and area
Answer:
P =33.6 m
A = 70.56 m^2
Step-by-step explanation:
The perimeter of a square is given by
P =4s = 4(8.4) =33.6 m
The area of a square is given by
A = s^2 = (8.4) ^2 =70.56 m^2
Answer:
Perimeter = 8.4×4 = 33.6 meters
Area = 8.4^2 = 70.56 square meters
any help please — Put the fractions 12,38 and 34 in order from smallest to largest. Find the value of 113+256.
The value of 113+256 is determined by the above fractional formulae. Is 369
Why are fractional equations difficult to solve?An exact number that shows a percentage of a total is called a fraction. You may figure it out by dividing a sum by the quantity of parts. As an example, the number 12 represents one-half of a whole number or an object. Simple subtraction of the smaller numerator from the larger numerator will yield the solution to the problem. To solve, for instance, 6/8 - 2/8, just take 2 out of the answer. The answer, which can be abbreviated to "4/8," is 12, or 12.
Making a fraction simpler by reducing or simplifying it is our goal. In order to do this, we divide the denominator and numerator by the largest integer that can be divided into both integers precisely. That is to say,
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Assuming that heights of professional male tennis players follow a bell-shaped distribution, arrange in ascending order.
I. A height with a z-score of 1
II. A height with a percentile rank of 80 percent
III. A height at the third quartile Q₃
(A) I,II,III
(B) I,III,II
(C) II,I,III,
(D) III,I,II
(E) III,II,I
A height with a z-score of 1 is the lowest, a height with a percentile rank of 80 percent is in the middle, and a height at the third quartile Q₃ is the highest.
A bell-shaped distribution is also known as a normal distribution. It is a symmetrical distribution where the mean, median, and mode are all equal. The distribution has two tails that extend out from the mean in either direction. A height with a z-score of 1 is the lowest because a z-score of 1 is one standard deviation below the mean. A height with a percentile rank of 80 percent is in the middle because it is the 80th percentile, meaning that 80 percent of the data is lower than it. A height at the third quartile Q₃ is the highest because it is the 75th percentile, meaning that 75 percent of the data is lower than it. In ascending order, the heights arranged are III, II, and I.
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Please answer ASAP will give brainliest!!!!!!!
Answer: No he is not correct the answer is 6 3/8
Step-by-step explanation: so what you have to do is add the 2 numbers you it should look like this(2 3/4+ 3 5/8) then you want to add the 2 and the 3 and add the 3/4 and 5/8 it should look like this (5+11/8) then you want to converse the number to a mixed number it should look like this (5+1+3/8) then you should add the
Answer:
No. Total distance = 6 3/8.
Step-by-step explanation:
\(2\frac{3}{4}+3\frac{5}{8}=\frac{11}{4}+\frac{29}{8}\\\\\)
\(=\frac{11*2}{4*2}+\frac{29}{8}\\\\=\frac{22}{8}+\frac{29}{8}\\\\=\frac{22+29}{8}\\\\=\frac{51}{8}\\\\=6\frac{3}{8}\)
Jessie wants to run a simulation of 10 trials to determine the probability of her picking at least one green marble in her next two picks. She will replace the marble after the first pick. Explain how Jessie can conduct a simulation using random digits from 0-9.
The simulation using random digits is an illustration of sample space and probability
How to run the simulation using random digits?From the question, we understand that the simulation is to determine the probability that she picks at least one green marble in her next two picks.
One of the ways this can be done is as follows:
Represent the green marbles with digits 0 - 4 Represent the other marbles with digits 5 - 9The above ensures that the probability of picking a green marble in each selection is 0.5 and the probability of not picking a green marble in each selection is also 0.5 i.e. the experiment is fair
Next, is to run a simulation of 10 trials.
Take for instance, the result of the simulation is as follows:
00 65 36 48 55
19 34 87 13 90
The number of outcomes that has at least one of digits 0 - 4 represents the required outcome i.e. picking at least one green marble
From the simulation result, the number of outcomes is
At least 1 green marble = 7
Number of trials = 10
So, the probability of picking at least a green marble is:
P = 7/10
P = 70%
Note that there are several other ways the simulation can be done; this is just one of them
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please help me
A cooking maginzine shows a photo of a main dish on the front cover of 5 out of 12 issues it publishes each year. Write and solve a proportion to determine how many times a photo of a main dish will be in the front cover during the next 5 years
The proportion of issues with a photo of a main dish on the front cover is given by the fraction 5/12.
Using that we can estimate that in the next 5 years there will be 25 issues with a photo of a main dish on the front cover.
How many times a photo of a main dish will be in the front cover?
We know that in the current year, 5 out of the 12 issues had a photo of a main dish on the front cover.
Then the proportion of issues with a photo of a main dish on the front cover is given by the fraction:
5/12
This means that if we take N issues of that cooking magazine, then we can estimate that:
(5/12)*N
Will have a photo of a main dish on the front cover.
Now, we assume one issue is published per month, then in 5 years there is a total of:
N = 12*5 = 60 issues.
Then we can estimate that in 5 years there will be:
(5/12)*60 = 25
there will be about 25 issues with a photo of a main dish on the front cover.
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Please help I was sick and missed out on class.Thank you
Answer:
Y= -1.67x + 0.67
Step-by-step explanation:
Hope this was ok
Evaluate the expression when b= 2.
12 - b =
Answer:
Well, if b = 2, then 12 - b = 10
Step-by-step explanation:
hope this helps, lol! <3
Oreana's 150 g bag of trail mix is x% raisins. Brandon's 250 g bag of trail mix is y% raisins. They combine the two mixes together in one bowl.
Write an expression which shows how many grams of raisins are in the bowl
The expression which shows how many grams of raisins are in the bowl will be
(0.01x) * 150 + (0.01y) * 250
What is the expression that shows the raisin?An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.
The expression which shows how many grams of raisins are in the bowl will be:
= (x% × 150) + (y% × 250)
= (0.01x) * 150 + (0.01y) * 250
This equation represents the total grams of raisins in the bowl by multiplying the weight of the Oreana's bag by the percentage of raisins in it, and adding that to the product of the weight of Brandon's bag and the percentage of raisins in it. The "0.01" is used to convert the percentages from x and y to decimal form.
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How is the graph of y=(x-1)2-3 transformed to produce the graph of y-3(x+4)??
The graph is translated left 5 units, compressed vertically by a factor of 2, and translated up 3 units.
The graph is stretched vertically by a factor of Ź, translated left 5 units, and translated up 3 units.
O The graph is translated left 5 units, compressed horizontally by a factor of 3, and translated down 3 units.
O The graph is stretched horizontally by a factor of Ž, translated left 5 units, and translated down 3 units.
Step-by-step explanation:
How is the graph of y=(x-1)2-3 transformed to produce the graph of y-3(x+4)??
The graph is translated left 5 units, compressed vertically by a factor of 2, and translated up 3 units.
The graph is stretched vertically by a factor of Ź, translated left 5 units, and translated up 3 units.
O The graph is translated left 5 units, compressed horizontally by a factor of 3, and translated down 3 units.
O The graph is stretched horizontally by a factor of Ž, translated left 5 units, and translated down 3 units.
Answer:
B. The graph is stretched vertically by a factor of One-half, translated left 5 units, and translated up 3 units.
Step-by-step explanation:
just did the test
What are the exact solutions of x2 − 3x − 5 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a? Group of answer choices x = the quantity of 3 plus or minus the square root of 29 all over 2 x = the quantity of negative 3 plus or minus the square root of 29 all over 2 x = the quantity of negative 3 plus or minus the square root of 11 all over 2 x = the quantity of 3 plus or minus the square root of 11 all over 2
The exact solutions of the Quadratic equation x^2 - 3x - 5 = 0 are:
x = (3 + √29) / 2 ,x = (3 - √29) / 2. The correct answer choice is:
x = the quantity of 3 plus or minus the square root of 29 all over 2.
The exact solutions of the quadratic equation x^2 - 3x - 5 = 0 using the quadratic formula, we can identify the values of a, b, and c, and substitute them into the formula:
a = 1
b = -3
c = -5
Now, we can apply the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
Substituting the values into the formula:
x = (-(−3) ± √((−3)^2 - 4(1)(−5))) / (2(1))
x = (3 ± √(9 + 20)) / 2
x = (3 ± √29) / 2
Therefore, the exact solutions of the quadratic equation x^2 - 3x - 5 = 0 are:
x = (3 + √29) / 2
x = (3 - √29) / 2
The correct answer choice is:
x = the quantity of 3 plus or minus the square root of 29 all over 2.
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FIND THE TOTAL SURFACE AREA
30 Length
12 base
9 Hieght
The surface area of the rectangular prism is 1476 square units
What is the surface area of the rectangular prism?From the question, we have the following parameters that can be used in our computation:
30 mm by 12 mm by 9 mm
The surface area of the rectangular prism is calculated as
Surface area = 2 * (Length * Width + Length * Height + Width * Height)
Substitute the known values in the above equation, so, we have the following representation
Area = 2 * (30 * 12 + 30 * 9 + 12 * 9)
Evaluate
Area = 1476
Hence, the area is 1476 square units
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9. Density measures
A. how much liquid is in an object.
C. how tightly packed an object's particles are.
B. the amount of space an object takes up.
D. the amount of matter contained in an
object.
Answer:
How tightly packed an object's particles are.
PLS HELP DUE TODAY
Equation and explain
Answer:
8 divided by 1/4 = 2
12 divided by 1/4 = 3
more cows were put in the barn
Step-by-step explanation:
8 horses 1/4= 2
12 horses 1/4= 3