The common difference of Uth term is 0
A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.
The nth term of the sequence () is given by: If the first term of an arithmetic progression is and the common difference between succeeding members
Formula
a_n=a_1+(n-1)d
a_n = the nth term in the sequence
a_1 = the first term in the sequence
d = the common difference between terms
we gives
a_n=a+(n-1)d
a_11=a+(n-1)d
a_11=a+(11-1)d
a_11=a+10d
a_11=3+10d
10d=-3
d=(-3)/10, a=3
To find the Uth term of sequence
U_n=a+d(n-1)
U_11=a+d(11-1)
apply the value of a=3,d=(-3)/10
U_11=3+((-3)/10 (11-1) )
U_11=3+((-3)/10 (10) )
U_11=3+(-3)
U_11=0
Therefore, Uth term of arithmetic progression is 0.
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When should you use dot plots & why
In addition to locating outliers, which is one of the key goals of dot plots, they are also useful in locating clusters and gaps in the data, which is another one of its primary roles. Dot plots are utilized for continuous, quantitative, and univariate data.
This is further explained below.
When should you use dot plots & why?Generally, Dot plots are used for continuous, quantitative, univariate data. It could be possible to identify the data points if there are just a few of them.
Dot plots are one of the most fundamental forms of statistical plots, and they are most beneficial when used in the presentation of data from collections ranging from extremely tiny to relatively large.
In conclusion, In addition to performing one of their core purposes, which is spotting outliers, they also do a good job of locating clusters and gaps in the data.
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What is the slope of the line?
(please help me with this)
Answer: 3/-4
The slope is measured in terms of rise over run. Rise is how many units you go up or down from the point (0, 0). Run is how many units you go left to right from the point where rise left off. For this question, we go up 3 and to the left 4. SO that's a 3 on top and a -4 on the bottom.
What is 14 to the the 1 power
Hey there!
Anything powered to the 1st is that number….. just like anything powered the zero is 0.
Anyway, let’s answer your question.
14^1
= 14 * 1
= 14
Therefore, your answer should be:
14
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
14
How do powers work?Powers in math are exponents that raise a given value to its power. As a simple rundown, when you raise something to an exponent, you are multiplying that value by itself as many times as the exponent declares.
For instance, if you were to raise 2 to the 2nd power (2²), this would mean that you are multiplying 2 two times: [tex]2\times2=4[/tex]
SolveTo solve, raise 14 to the 1st power:
[tex]14^1 = 14 \times 1[/tex]
[tex]14[/tex]
The final answer is 14.
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In a basketball game, the home team was down by
2
points at the end of the game. They only scored
2
points for every
3
points the visiting team scored. What was the final score of the game?
Answer:
home team:4
visiting team:6
ACTIVITY SHEET: MATHEMATICS AS A LANGUAGE
Classify each of the following as a MATHEMATICAL EXPRESSION or a MATHEMATICAL
SENTENCE.
Use the given property to complete each mathematical equation.
1. Commutative:
(ab) (8)
=
2. Closure:
(3) (4)
3. Identity:
1(p) + 1(q)
4. Distributive:
5. Inverse:
1. A = {10, 100,
1000}
2. B = {(1, 2), (2, 1),
(3, 2), (4, 3), (4,4),
(5,4)}
Identify if the given is a SET, a RELATION, and/or a FUNCTION.
3. C = {(1, 30), (2,
31), (3, 30), (4, 29)}
1. a +9
2. x + y + 0 = x + y
_3.-—--
4. 0.25
5. b + c = c + b
4. D = {x/x is a real
number}
5. E identification
number of the
student to his or her
identity
=
=
[(3m)( 7p)](5p) =
0.25
SET
RELATION
FUNCTION
Answer: 1; talkative 2; an act of kindness 3; to make yourself public
4; buying a car for someone
Step-by-step explanation:
solve each system of inequalities and indicate any three solutions. x-0.8 <0, -5x<10
The three solutions of the inequalities are x < 0 , x < 0.8 , x< -2
What are inequalities?Inequalities are defined as mathematical expressions in which both sides are not made equal to each other.
Given the inequalities;
x-0.8 <0-5x<10Let's solve for the value of x
x - 0.8 < 0
Make 'x' the subject
x < 0 + 0. 8
x < 0. 8
-5x < 10
Make 'x' the subject by dividing both sides by - 5
-5x/ 5 < 10/ -5
x < -2
Thus, the three solutions of the inequalities are x < 0 , x < 0.8 , x< -2
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Which two of the following are benefits of consumer program
They help prosecute company’s that sell unsafe products
They’re funded by taxpayers not consumers
They help maintain industry standards by issuing professional licenses
They help consumers identify the best product reviews from various sources
Among the four options provided, the benefits of consumer program are that they help prosecute companies that sell unsafe products to consumers and they also help consumers identify the best product reviews from various sources.
As per the question statement, we are required to determine the options from the given four, which are the best possible matches to being benefits of consumer program.
To solve this question, we will check for the possibility of every option by logical reasoning.
Option (A) is "They help prosecute company’s that sell unsafe products" which is true, and thus protects the consumer against frauds or exploits and health issues. Hence, this is definitely a benefit of consumer program.
Option (B) is "They’re funded by taxpayers not consumers" which is illogical because taxpayers are the consumers themselves. Hence, this is not a benefit of consumer program.
Option (C) is that "They help maintain industry standards by issuing professional licenses" which is false because forum has nothing to do with issuing licenses; It ensures that consumers are served with best quality products at the best prices and takes legal action against fraudulency. Hence, this is not a benefit of consumer program.
Finally, Option (D) is that "They help consumers identify the best product reviews from various sources" which is true. Hence, this is definitely another benefit of consumer program.
Consumer Program: This is a program by which key members of a client company, such as the marketing team, spend time directly with consumers or other people representing the client's existing or target customers. This may be done occasionally or on a regular basis, and at a central location or at customers' house.To learn more about Consumer Program, click on the link below.
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Is the product of 3/6 x 5/4 equal to the product of 3/4 x 5/6? Explain.
The product of 3/6×5/4 is equal to the product of 3/4×5/6.
What is simplification?
A mathematical expression is simplified when it is replaced with a simpler, typically shorter, equivalent statementMaking something simpler is making it less intricate or cluttered. When you describe a complex mathematical idea to a child in words they can easily understand, you are simplifying. When you eliminate many of the tasks that were keeping you occupied and stressed out, you have simplified.Here,
3/6×5/4 = 3 * 5 / 6* 4
= 15 / 24
3/4×5/6 = 3 * 5 / 4 * 6
= 15 / 24
Thus, The product of 3/6×5/4 is equal to the product of 3/4×5/6.
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Estimate the probability that an NBA player who makes 80% of his free throws makes 2 of his next 3 free throws.
The probability that an NBA player who makes 80% of his free throws makes 2 of his next 3 free throws is 0.384
What is probability?Probability is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases.
Now it is given that,
The proportion of free throws the player makes, p = 80% = 0.8
The number of throws, n = 3
The throws the player makes, r = 2
Since the probability is given as,
P(r) = nCr x p^r x (1 - p)^(n-r)
So, the probability that an NBA player makes 2 of his next 3 free throws
Putting the values we get,
P(2) = ³C₂ x (0.8)^2 x (1 - 0.8)^(3-2)
Solving we get,
P(2) = 3 x 0.64 x (0.2)^(1)
Thus we get,
P(2) = 3 x 0.64 x 0.2
Multiplying we get,
P(2) = 0.384
this is the required probability that an NBA player makes 2 of his next 3 free throws.
Thus, the probability that an NBA player who makes 80% of his free throws makes 2 of his next 3 free throws is 0.384
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Will Give Brainliest!!!! Match each step with the correct justification.
Given: QM MR
a. Given
b. Subtraction Property of Equality
c. Addition Property of Equality
d. Substitution.
e. Division Property of Equality
Answer:
A D B C E
Step-by-step explanation:
That is the order of steps in the solution
Please solve this for me and show your work
Use your calculator ........................
O.N.L.Y., ONLY, OnLy answer if you are SURE I do not want " pretty sure" or "I think", NO! ONLY answer if you are 100% sure.
Answer:
0.11 because i did it before
Step-by-step explanation:
Answer:
The answer is D I've done it before
Mr. Jordan's class is having a pizza party with the $100 they earned in a competition. A cheese pizza costs $10, and a pepperoni pizza costs $15. They must order at
least 2 pepperoni pizzas. They also must order at least twice as many cheese pizzas as pepperoni pizzas.
What is the greatest total number of pizzas Mr. Jordan's class can order?
7
Who invented and defined zero
Answer:
Brahmagupta in 628
Step-by-step explanation:
Answer:
Zero and its operation are first defined by Brahmagupta in 628. He developed a symbol for zero: a dot underneath numbers.
What is the domain of the reciprocal parent function?
A. All real numbers
B. x#0
C. x≤ 0
D. X 20
The domain of the reciprocal parent function is all real numbers except 0, therefore option B is correct.
For the given reciprocal function
f(x) = 1/x
The denominator x cannot be 0, because it will give an undefined value.
Therefore, the reciprocal function domain and range is the set of all real numbers excluding 0.
i.e., f(x) = 1/x where x = Real number excluding 0.
Therefore the option b is true.
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WILL give branilist if correct!! Answer both questions correctly
Answer:
6. perfect squares 5 and 6
7. between integers 5 and 6
Step-by-step explanation:
[tex]\sqrt[3]{141} = 35.62\\[/tex]
x=3(x-15)
can you guys show work
Answer: x = 45/2
Step-by-step explanation:
x=3(x-15)
x=3x-45
-2x=-45
x=45/2
Keep it as a fraction to keep it simple or you can make it a decimal which is x = 22.5
Solve the equation 5k^2−20k=15 . Present exact values of the solutions. If there are more than one solutions, separate them by a comma.
Two or more expressions with equal sign is equation, if the equation 5k^2−20k=15 then 1 and 3 are exact values of the solutions.
What is Equation?Two or more expressions with equal sign is called as Equation.
The given equation 5k^2−20k=15,
let us make it a QE by taking 15 to left.
5k^2−20k-15
a=5, b=-20, c=-15
k=-b±√b^2-4ac/2a
=20±√(-20)^2-4(5)(-15)/2(5)
=20±√400-300/10
=20±√100/10
=20±10/10
k=20+10/10 or k=20-10/10
k=3, or k=1
Therefore the solutions of equation 5k^2−20k=15 are 1 and 3.
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need help with # 6 asap
The equation that is parallel and perpendicular are y + 4 = 7/5(x-35) and y+4 = -5/7(x - 35) respectively.
Equation of a lineA line is defined as the shortest distance between two points. The formula for finding the equation of a line in point slope form is:
y - y₁ = m(x-x₁) (Parallel lines)
y - y₁ = -1/m(x-x₁) (Perpendicular lines)
Given the following parameters;
Point = (35, -4)
Given the equation 7x-5y = 0
5y = 7x
y = 7/5x
Slope = 7/5
Substitute the slope and point into the equation
y + 4 = 7/5(x-35) (Parallel lines)
y +4 = -1/(7/5)(x-35) (Perpendicular lines)
y+4 = -5/7(x - 35)(Perpendicular lines)
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15 points!!
Please help.
The value the equation related to S and N is 25.
What is algebraic expression ?
An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression. A good example of an algebraic expression is 3x2 + 2xy + c.
N will be the function of S since the number of cookies made is dependent on the amount of sugar
N = 25S, S ≥ 0
This is the for the every cup of sugar we make 25 cookies. for the graph we can plot some points
S N
_________
0 0
1 25
1.5 37.5
2 50
This will be a line with slope of 25
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Lisa is working on plans for a 12-acre housing development. A park will cover 2 ½ acres, and paved areas will take 1 ¾ acres. How many acres are left for home sites? Write your answer as an improper fraction. Total acres
Lisa is working on plans for 12-acre housing development. A park will cover 2 ½ acres, and paved areas will take 1 ¾ acre. acres are left is mathematically given as
AL= 7 3/4
This is further explained below.
How many acres are left for home sites?Generally, the equation for the acres left is mathematically given as
AL=Unused area-Used Area
Therefore
AL=12-(2 ½- 1 ¾)
AL= 7 3/4
In conclusion, Lisa is now working on the blueprints for a housing complex that will be on 12 acres. Paved areas will take up one-third of an acre and a half, while a park will take up two and a half acres. The number of acres that are still available may be calculated as
AL= 7 3/4
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The coordinate 6 has a weight of 2, the coordinate 9
has a weight of 2, and the coordinate 15 has a weight
of 1. Find the weighted average.
The weight average of the coordinates is 9
Given,
The coordinate 6 has a weight of 2
The coordinate 9 has a weight of 2
The coordinate 15 has a weight of 1
We have to find the weight average:
The weight average is then calculated as:
Weight average = Sum of (Weight * Coordinate)/Sum of Weights
So, we have:
Weight average = ( (6 x 2) + (9 x 2) + (15 x 1) ) / (2 + 2 + 1)
= (12 + 18 + 15) / 5
= 45 / 5
= 9
Hence, the weight average of the coordinates is 9
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Which statement is true about the function f(x) = 8x^3?
The function is even because f(–x) = f(x).
The function is odd because f(–x) = f(x).
The function is even because f(–x) = –f(x).
The function is odd because f(–x) = –f(x).
The function f(x) = 8x³ satisfies the condition f(-x) = -f(x) and is odd. D.
To determine whether the function f(x) = 8x³ is even or odd, we need to analyze the symmetry of the function with respect to the y-axis and the origin.
Even function:
If a function is even, it satisfies the condition f(-x) = f(x), meaning that the function is symmetric with respect to the y-axis.
Odd function:
If a function is odd, it satisfies the condition f(-x) = -f(x), meaning that the function is symmetric with respect to the origin.
Now, let's analyze the given function, f(x) = 8x³:
Testing for evenness:
If we substitute -x for x in the function, we have f(-x) = 8(-x)³
= -8x³.
This is not equal to f(x) = 8x³.
The function f(x) = 8x³ is not even.
Testing for oddness:
If we substitute -x for x in the function, we have f(-x) = 8(-x)³
= -8x³.
This is equal to -f(x) = -8x³.
The function is odd because f(–x) = –f(x).
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An investment of $34,000 was made by a business club. The investment was split into three parts and lasted for one year. The first part of the investment earned 8% interest, the second 6%, and the third
9%. Total interest from the investments was $2700. The interest from the first investment was 4 times the interest from the second. Find the amounts of the three parts of the investment.
The first part of the investment was $
Answer:7000
Step-by-step explanation:3400-2700=7000
the sum of 8 and matts savings is 52
Answer:
8 + x = 52
Where x = Matt's savings
Amos says that the opposite and the absolute value of a number are always the same
Amos says that the opposite and the absolute value of a number are always the same. This is true.
How to express the information?It should be noted that from the information, Amos says that the opposite and the absolute value of a number are always the same.
For example, given the number 23, the opposite will be -23 and the absolute value is also -23. This implies that they are the same.
Therefore, Amos says that the opposite and the absolute value of a number are always the same. This is true.
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Amos says that the opposite and the absolute value of a number are always the same. True or false.
Does any one know the answer?
Answer:
C= right angle (90 degrees)
Step-by-step explanation:
a + b + c = 180
The triangle is perfectly 180 degrees, making it supplementary
I wasn't very sure what you were asking, but I hope this helped
how to turn y=3x+45 into ax+by=c form
The given equation y = 3x + 45 in form ax+by=c is 3x - y = - 45.
What are linear equations?Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is fairly simple (x and y). When attempting to solve systems of two linear equations, this form is also very helpful. A linear equation has the slope-intercept form y = MX + b. Variables in the equation are x and y. When x is 0, the numbers m and b provide the line's slope (m) and the value of y(b). Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.So, y=3x+45 into ax+by=c form:
y = 3x + 45 ⇒ Bring y to the other side of the equation and bring 45 to the opposite side of the equation as: y = 3x + 45 ⇒ 3x - y = - 45Therefore, the given equation in form ax+by=c is 3x - y = - 45.
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Simplifying complex fractions: Where does the 3 in 21 and 15 come from? I understand how 14 and 21 became 2 & 3
(because both 14 & 21 are divisible by 7)
but I'm confused as to how the 1 came
about.
if f(x)= 2X^2 +1. what is f(x) when X equals three
Answer:
19
Step-by-step explanation:
[tex]f(x) = 2 \times {3}^{2} + 1 = 2 \times 9 + 1 = 18 + 1 = 19[/tex]