Which operations is the following set closed under? Explain your answer. \(\left\{2,4,6,...\right\}\)
Answers
The operation that is being used to complete the sequence is an addition, in which each number is added + 2.
What is a sequence?A sequence is a mathematical term that refers to the succession of numbers or other mathematical objects related to each other, which is characterized by taking into account the relative position of each number with respect to the previous one.
According to the above, it can be inferred that from the following sequence:
2, 4, 6, ...The operation that is defining the sequence is:
x + 20 + 2 = 22 + 2 = 44 + 2 = 6Learn more about sequences in: https://brainly.com/question/21961097
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Answer:The operation that is being used to complete the sequence is an addition, in which each number is added + 2.
What is a sequence?
A sequence is a mathematical term that refers to the succession of numbers or other mathematical objects related to each other, which is characterized by taking into account the relative position of each number with respect to the previous one.
According to the above, it can be inferred that from the following sequence:
2, 4, 6, ...
The operation that is defining the sequence is:
x + 2
0 + 2 = 2
2 + 2 = 4
4 + 2 = 6
Step-by-step explanation:
Related Questions
Simplify the expression given below.
(17^14)^20
A. 289^34
B. 289^280
C. 17^280
D. 17^34
Answers
Answer: Heyaa! ^^
When you simplify (17^14)^20 Your Answer is
C. 17^280Step-by-step explanation:
Multiply the exponents in (17^14)^20And Simplify!!Hopefully this helps you!
Laura worked 8 hours today. She spent
the time in meetings, on the phone,
and the rest of the time on the computer.
Make a circle graph to show how Laura
spent her work day.
Answers
Find the quotient of 1 4/5 and 1 1/5
Give your answer as a fraction in its simplest form
Answers
Answer: 1 1/2
Step-by-step explanation:
1 4/5 = 9/5
1 1/5 = 6/5
[tex]\frac{9}{5} / \frac{6}{5}\\ \\\frac{9}{5} * \frac{5}{6}\\ \\\frac{45}{30} \\ \\1\frac{1}{2}[/tex]
15 Which point is a solution to the system below?
2y < -12x + 4
y <- 6x +4.
A (1,1)
B (0,6)
C (-1/2,5)
D (-3,2)
Answers
The attached graph shows that the system of equation has no solution since there is no point of intersection
Solution to system of equationsInequalities are expressions not separated by an equal sign
Given the following inequalities
2y < -12x + 4
y <- 6x +4
_________________
2y < -6x + 4
y <- 6x +4.
Find the y-intercept. When x = 0
y < -6(0) + 4
y < 4
Plot the graphs and determine the point of intersection
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There are 18 students on the debate club. How many ways can the club send 4 students to the next debate?.
Answers
Let's consider first what equation we must use:
⇒ use Combination Formula ⇒ [tex]._{n} C_{r}=\frac{n!}{r!(n-r)!}[/tex]
⇒ where 'n' is the total number of items and 'r'
is the number of items to choose
Let's look at the problem:
total number of students: 18number of students needed for debate: 4Let's plug it in:
[tex]\frac{18!}{4!*(18-4)!} =\frac{18!}{4!*14!} =\frac{18*17*16*15}{4*3*2*1} =18*17*2*5=3060[/tex]
Thus there are 3060 ways
Answer: 3060 ways
Hope that helps!
I need help with my math it’s in the image
Answers
Answer:
3.5x10^4 is 50 times larger than 7x10^2
Step-by-step explanation:
3.5x10^4 is 35,000 (move decimal 4 places to the right)
7x10^2 is 700 (7.0 move decimal 2 places to the right)
700x50=35,000 which shows that 35,000 is 50 times larger than 700
An item costs $490 before tax, and the sales tax is $44.10.
Answers
Answer:
The item has a 9% sales tax.
Step-by-step explanation:
Given the following question:
We are given an item that costs 490 dollars before tax, the sales tax of the item is $44.10, which means the item will cost $534.10 in total. Assuming what you are asking is to find the percentage of the sales tax we will use the formula to calculate percentages, and then add that answer to our before cost to confirm our answer.
Formula to calculate percentages:
[tex]\frac{p\times n}{100}[/tex]
[tex]p=9[/tex]
[tex]\frac{9\times490}{100}[/tex]
[tex]9\times490=4410[/tex]
[tex]4410\div100=44.1=44.10[/tex]
[tex]490+44.10=534.10[/tex]
[tex]=534.10[/tex]
Our sales tax percentage is 9%.
Hope this helps.
You conduct a survey that asks 271 students in your class whether they are attending the class field trip. One hundred twenty-one males respond, 92 of which are attending the field trip. Thirty-one females are not attending the field trip. What percent of females are attending the class field trip?
Answers
Answer:
79% of females are attending the class field trip
Step-by-step explanation:
Question Breakdown:
- Survey 271 students
- 121 males respond, 92 attending field trip
- 31 females not attending field trip
What percent of females are attending the class field trip?
The two-way table or the class whether they are attending the field trip or not is attached below,
The table tells us
• Males who are not attending : 121 - 192 = 29
• Total females who responded : 271 - 121 = 150
• Females who are attending : 250 - 31 = 119
• Total students who are attending : 91 + 119 = 211
• Total students who are not attending : 29 +31 = 60
There are a total of 150 female students and 119 of them are attending the field trip
[tex]\frac{119}{150} = 0.79 x 100 = 79%[/tex]
solve for x. x^2+12x<-11
Answers
x²+12x<-11
x²+12x+11<0
x²+12x+11=0
(x+11)(x+1)=0
x+11=0 x+1=0
x= -11 x= -1
Solution: ] -11 , -1 [
vFind the mean and median of the data set. 3, 5, 6, 2, 10, 9, 7, 5, 11, 6, 4, 2, 5, 4
Answers
Step-by-step explanation:
2, 2, 3, 4, 5, 5, 5, 6, 6, 7, 9, 10
_
2+2+3+4+5+5+5+6+6+7+9+10 = 64 ÷ 12 = 5.3
_
Mean: 5.3
Median: 5
An elevator can hold a maximum of 1500 pounds. An average child weighs 75 pounds and the average adult weighs 150 pounds. The elevator also can’t fit more than 14 people. How many children and adults can fit in the elevator and stay under the weight limit. Write the inequalities that represent the word problem, and then graph it on DESMOS. What is a solution that represents the amount of children and adults and their combined weight?
Answers
Let's take this problem step-by-step:
Let's first set up some variables:
c: # of childrena: # of adultsLet's examine the information given:
Elevator can hold a maximum of 1500 pounds⇒ average child is 75 pounds
⇒ average adult is 150 pounds
⇒ therefore: [tex]75c + 150a\leq 1500[/tex]
Elevator can fit no more than 14 people⇒ therefore: [tex]c + a \leq 14[/tex]
Let's graph the equations:
[tex]75c+150a\leq 1500\\c+a\leq 14[/tex]
⇒ look at the image attached
The point at which the two graphs intersect:
⇒ is the solution that represents the amount of children and adults and
their combine weight
With the horizontal axis being the # of children and vertical axis being the # of adults:
⇒ the solution is 8 children and 6 adults
Answer: 8 children and 6 adults
Hope that helped!
Multiply. Write your answer as a fraction or as a whole or mixed number.
4/5 x 3 2/3
Answers
Answer:
1 14/15
Step-by-step explanation:
Change 3 2/3 into an improper fraction, which is 11/3. When multiplying fractions, you can multiply straight across, so 11*4= 44 and 3*5 equals 15. 44/15 as a mixed fraction is 1 14/15
PLEASE HELP ITS WORTH 20 points and ILL LIKE
Answers
Answer:
es kunno.............................
Plot the value(s) on the number line where this function is equal to zero: f(x)= (x+5)(x-1).
Answers
Brandon is analyzing the profits from two of his restaurant locations. the first location showed a profit of $3,000 in the first week of the year but has a showed a steady decrease in profits of 1.5% each week since then. his second location showed a profit of $1,500 in the first week of the year and has showed a steady increase in profits of 1.2% each week since then. which system of equations can brandon use to determine the number of weeks, x, until the profits, y, from the two locations are the same? a. b. c. d.
Answers
The system of exponential functions that can be used to determine the time for the profits to be the same is given by:
[tex]3000(0.985)^x = 1500(1.012)^x[/tex]
What is an exponential function?An exponential function is modeled by:
[tex]A(t) = A(0)(1 \pm r)^t[/tex]
In which:
A(0) is the initial value.r is the rate of change, as a decimal.For the first restaurant, we have that the parameters are given as follows:
A(0) = 3000, r = -0.015.
Hence the profit after x weeks is given by:
[tex]y_1(x) = 3000(0.985)^x[/tex]
For the second restaurant, we have that:
A(0) = 1500, r = 0.012.
Hence:
[tex]y_2(x) = 1500(1.012)^x[/tex]
Then they will be equal when:
[tex]y_1(x) = y_2(x)[/tex]
[tex]3000(0.985)^x = 1500(1.012)^x[/tex]
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Answer:
Answer:
y=3,000(0.985)^x
y=1,500(1.012)^x
Step-by-step explanation:
plato 2022
What is the slope and the y intercept of the line on the graph below?
Answers
The slope and the y intercept of the line on the graph is -1/4 and 1.
What is a Straight Line Function ?A straight line function is what can be written in the form of
y =mx +c
where m is the slope and c is the intercept on y axis.
The intercept on the y axis , c = 1
at x = 4 , y=0
and at x = 0, y =1
The slope can be calculated as
y = mx+1
0 = 4m +1
m = -1/4
Therefore the slope and the y intercept of the line on the graph is -1/4 and 1.
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In the function f(x) = a(x + 2)(x-3)^b, a and b are both
integer constants and b is positive. If the end behavior
of the graph of y = f(x) is positive for both very large
negative values of x and very large positive values of x,
what is true about a and b?
A. a is negative, and b is even.
B. a is positive, and b is even.
C. a is negative, and b is odd.
D. a is positive, and b is odd.
Answers
Using limits, considering the end behavior of the function f(x), it is found that the correct statement is given as follows:
D. a is positive, and b is odd.
What is the end behavior of a function?It is given by it's limits as x goes to negative and positive infinity.
In this problem, we have that, considering the end behavior:
[tex]\lim_{x \rightarrow \infty} = \infty \rightarrow ax^{b + 1} = \infty[/tex][tex]\lim_{x \rightarrow -\infty} = \infty \rightarrow ax^{b + 1} = \infty[/tex]This will only be true if a is positive and b is odd, hence option D is correct.
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what is the approximate solution of this system of equaltion y=x^2+3x+3 , y=x^2+x+2
Answers
Answer:
(B
The given system of equations are:
y=x^2+3x+3y=x
2
+3x+3 (1)
and y=x^2+x+2y=x
2
+x+2 (2)
Subtracting equation (2) from (1), we get
0=2x+10=2x+1
⇒2x=-12x=−1
⇒x={\frac{-1}{2}}x=
2
−1
⇒x=-0.5x=−0.5
Now, substituting the value of x=-0.5 in equation (2), we get
y=0.25-0.5+2y=0.25−0.5+2
⇒y=1.7y=1.7
Thus, the values of x and y are -0.5 and 1.7.
Therefore, the approximate solution of the given system of the equation is (-0.5, 1.7).
Hence, option (B) is correct.
What is the midpoint of the vertical line segment graphed below?
y
-5
5
(1,4)
-5-(1,-5)
5
Answers
Answer:
see the attachment photo!
Answer:
C. (1, -1/2)
Step-by-step explanation:
The midpoint of a line segment has coordinates that are the average of the end point coordinates.
__
M = (A +B)/2 . . . . . . midpoint of segment between A(1, 4) and B(1, -5)
M = ((1, 4) +(1, -5))/2 = (1 +1, 4 -5)/2 = (2, -1)/2
M = (1, -1/2)
The midpoint of the vertical line segment is (1, -1/2).
_____
Additional comment
The midpoint will always be on the line segment. Since this line segment is vertical with x = 1, the x-coordinate of the midpoint must be 1.
In the coordinate plane below, the xxx-axis represents the number of hours before or after noon. For example, -1−1minus, 1 would represent 11 \text{ a.m.}11 a.m.11, start text, space, a, point, m, point, end text The yyy-axis represents the temperature in degrees Celsius. The points (-1, 6)(−1,6)left parenthesis, minus, 1, comma, 6, right parenthesis and (7,6)(7,6)left parenthesis, 7, comma, 6, right parenthesis represent two temperatures at different times of the day.
Answers
The points mean that the temperature at 11 am and 7 pm is 6 degree Celsius
How to represent the points on the coordinate plane?The given parameters are:
x represent the number of hours before/after noony represents the temperatureThe points are given as:
(x, y) = (-1,6) and (7,6)
-1 represents 11 am and 7 represents 7 pm.
The points mean that:
The temperature at 11 am and 7 pm is 6 degree Celsius
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Are the equations -3(2x+9)=12 and 2x+9=-4 equivalent?
Answers
Explanation: -3(2x+9)=12 when u divide -3 by 12 the equation turns into (2x+9)=-4 so they have to be equivalent
A puppy weighs
10 pounds and is
gaining 1 pound
each week.
Answers
Francesca is growing 1/2 inch each year. How many years will it take for her to grow 6 inches?
Answers
Answer:
12 years
Step-by-step explanation:
1 inch = two years
6x2=12
Which number produces a rational number when multiplied by
O A. 10
( в. я
O C. 144
11
OD. 2.64575131..
Answers
The number that will produce a rational number when multiplied by 1/5 is A. 10.
What is a rational number?A rational number is one that can be written in the form of a fraction where the denominator isn't 0. This number is an integer and does not repeat infinitely.
When 1/5 is multiplied by 10 we get:
= 1/5 x 10
= 2
2 is a rational number so option A is correct.
The full question is:
Which number produces a rational number when multiplied by 1/5?
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Maria's car has a gas mileage of 31 miles per gallon. How many miles can Maria travel on 9 gallons of gas?
Answers
Answer:
279 miles
Step-by-step explanation:
31 miles/gal * 9 gallons = 279 miles
please solve the question and give correct answer with explanation so that i can understand it
Answers
Answer:
YesStep-by-step explanation:
Let the speed of the car is c and speed of the plane is p.
We are given:The speed of the plane is 7 times the speed of the car
p = 7cThe distance traveled is
d = 315 kmThe time difference to travel this same distance is 3 hours.
We know that:d = ts, where d- distance, t- time, s - speedFind the time for car and plane and their difference.
Cart = d/s = 315/cPlanet = d/s = 315/p = 315/(7c) = 35/cThe difference315/c - 45/c = 3Solve it for c:
(315 - 45)/c = 3270/c = 3c = 270/3c = 90 km/hNow find the speed of plane:
p = 7c = 7*90 = 630 km/hAs we see, Jenny is right
The circle has a diameter of 9 inches what is the circumference rounded to the nearest whole number
Answers
Answer:
28
Step-by-step explanation:
Circumference = 2*pi*r
r = 1/2*diameter = 4.5
pi = 3.14
Circumference = 2*(3.14)*(4.5) = 28.26 = 28
Here is the graph of a quadratic function f.
Answers
Answer:
B) x² - 8x + 12
E) (x -4)² - 4
F) (x - 2)(x - 6)
Explanation:
As the graph opens upwards. The value of x² will be positive.
The x intercepts are (2, 0), (6, 0) determining (x -2)(x-6)
The (x - 4)² - 4 determines the vertex of x = 4, y = -4
When simplified:
⇒ (x -2)(x-6)
⇒ x² - 2x -6x + 12
⇒ x² - 8x + 12
Chandler was a caretaker at the state zoo. He noticed that the number of animals adopted by the zoo increased at a constant rate every year since 2010.
Which of the following graphs shows the slowest rate at which the animals in the zoo were adopted?
A.
B.
C.
D.
Answers
solve for x !
[tex]x {}^{2} + 5x + 6 = 0[/tex]
ty! ~
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve for x ~
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 5x + 6 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 3x + 2x + 6 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{}( x+ 3) + 2(x + 3)= 0[/tex]
[tex]\qquad \sf \dashrightarrow \: {}^{}( x+ 2)(x + 3)= 0[/tex]
[tex] \begin{cases} \sf \: x = - 2 \: \: \: \: \: \: \: \sf if \: (x + 2) = 0 \\ \\ \sf \: x = - 3 \: \: \: \: \: \: \: if \: (x + 3) = 0\end{cases} [/tex]
I hope that helps ~