Answer:
The correct answer is: Option B: [tex]a_n = 25+(-4)(n-1)[/tex]
Step-by-step explanation:
Given sequence is:
25, 21, 17, 13,...
Here
a1 = 25
a2 = 21
a3 = 17
First of all we have to determine the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence.
So,
[tex]d = a_2 - a_1 = 21-25 = -4\\d =a_3-a_2 = 17-21 = -4[/tex]
The explicit formula is given by:
[tex]a_n = a_1 + (n-1)d[/tex]
Putting the value of a1 and d
[tex]a_n = 25 + (n-1)(-4)\\a_n = 25-4n+4\\a_n = 29-4n[/tex]
Hence,
The correct answer is: Option B: [tex]a_n = 25+(-4)(n-1)[/tex]
Use the formulas to generate a Pythagorean Triple with x = 8 and y = 3.
A squared+b squared=c squared
5 squared+2 squared=c squared
25+4=29
The square root of 29 is C.
The order would be 2, 5, the square root of 29
(Hope this helped! If u dont mind, can u mabey give brainliest to me? <3)
Using the given formula, Pythagorean Triple with x = 8 and y = 3 is 5329=5329.
What are Pythagorean triples?Pythagorean triples are a²+b² =c² where a, b and c are the three positive integers. These triples are represented as (a,b,c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle.
Given that, x=8 and y=3.
The formula is (x²+ y²)²= (x² - y²)² + (2xy)²
Now, (8²+ 3²)²= (8² - 3²)² + (2×8×3)²
(64+9)²=(64-9)² +(48)²
73²=55²+48²
5329=5329
Therefore, using the given formula, Pythagorean Triple with x = 8 and y = 3 is 5329=5329.
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"Your question is incomplete, probably the complete question/missing part is:"
The identity (x²+ y²)²= (x² - y²)² + (2xy)² can be used to generate Pythagorean triples. What Pythagorean triple could be generated using x = 8 and y = 3?
Write 0.09 repeating as a fraction.
Answer:
0.09=9\100
Step-by-step explanation:
Determine if the graph shows two quantities that vary directly. If possible, determine the constant of proportionality using the formula K = y/x
Answer:
Option C is correct option.
Step-by-step explanation:
We need to find k constant of proportionality
In the graph below let us take the values of x and y
x=150 , y=50
x=300, y=100
x=450, y=150
Now finding k using the formula: [tex]k=\frac{y}{x}[/tex]
Putting values of x and y to find k
For x=150 , y=50 k = 50/150, k =1/3
For x=300, y=100 , k=100/300 , k=1/3
For x=450, y=150, k= 150/450 , k=1/3
Since for values of x and y, k = 1/3 is constant so, the graph shows two quantities that vary directly.
So, Option C is correct option.
6 − 3.98 what is the answerrrrr
Answer:
2.02
Step-by-step explanation:
also you can do these on just a calculator :D
i need help idk how to solve this plz help. y - 2= 7/3 (x-(-2))
Im sure it's -3 Because well thats what i got
Solving Quadratic Equations Maze 1
x²- 8x - 33 = 0
The solutions to the given quadratic equation are x=11 and x=-3.
The given quadratic equation is x²-8x-33=0.
The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
By using splitting middle term method, we get
x²-11x+3x-33=0
x(x-11)+3(x-11)=0
(x-11)(x+3)=0
(x-11)=0 and (x+3)=0
x=11 and x=-3
Therefore, the solutions to the given quadratic equation are x=11 and x=-3.
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Delta math needed!!!
Answer:
Parallel
Step-by-step explanation:
Slopes of the line
If x2 = 10, what is the value of x?
Answer:
The value of x is 5
Step-by-step explanation:
5 x 2 = 10
x= ±[tex]\sqrt{10} =[/tex] ± 3.1623
simplifyied~x = 5
(tan x - 1) (sin^2x - 3) =0
no answer necessary
Answer:
0
Step-by-step explanation:
Thx
Write the number below in expanded notation 75,966
Pls help will give brainlist
can you put your tongue in a not??
Answer:
No, it is physically impossible to put your tongue in a knot.
Step-by-step explanation:
A booth at the farmer’s market has fresh goat cheese in three sizes of containers. The big container is 30 ounces and costs $9.00. The medium container is 15 ounces and costs $4.95. The small container is 8 ounces and costs $2.00. What size is the best buy? Justify your reasoning.
Answer:
8 ounce
Step-by-step explanation:
The 30 ounce container costs $0.30 per ounce. The 15 ounce container is $0.33 per ounce. The 8 ounce container is $0.25 per ounce. Therefore, the 8 ounce container costs less per each ounce.
If EG=71 , find the value of x
Answer:
A
Step-by-step explanation:
A = 71 so then EG = 91
help plz plz just answer questions
Solve for X
3= x/3.3 x=
In a survey of 3100 people who owned a certain type of car, 1240 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
40% of people would buy the car again.
Hope this helps!
Step-by-step explanation:
7. There are 19 red marbles for every black marble. If there are 120 marbles in the bag, how many red marbles are there? Explain or show your reasoning.
Answer:
114 marbles.
Step-by-step explanation:
Let the number of red marbles be r
Let the number of black marbles be b
Given the following data;
Total number of marbles = 120
Translating the word problem into an algebraic equation, we have;
[tex] r = 19b[/tex] .......equation 1
[tex] r + b = 120[/tex] ........equation 2
Substituting the value of "r" into equation 2, we have;
[tex] 19b + b = 120[/tex]
[tex] 20b = 120[/tex]
[tex] b = \frac {120}{20}[/tex]
b = 6 marbles.
To find the number of red marbles;
From equation 1;
[tex] r = 19b[/tex]
Substituting the value of "b" into equation 1, we have;
[tex] r = 19*6[/tex]
r = 114 marbles.
Therefore, there are 114 red marbles in the bag.
Sonia saw a school play that was 2.15 hours long. How many minutes long was the play?
129.00 minutes
120.15 minutes
27.90 minutes
62.15 minutes
Answer:
Answer 120.15 minutes long
Step-by-step explanation:
Answer:
129.00m
Step-by-step explanation:
1h=60m
2.15=x
2.15h×60m=1h×x
129m×h=1h×x divided both side by 1h
129m=x
Here is an expression: 4 ∙ 3ˢ Evaluate the expression when s is 1.
Help 25 points !!!!!!!!!!!
Answer:
1 -> 12s
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
negation "If it rains then I take an umbrella."
Laura needed an electrician to provide electrical repairs in her kitchen. The electrician will charge Laura x dollars per hour for a 5-hour job and $20 for electrical parts, and also $50 for a new ceiling fan. Write an algebraic expression in simplest form to determine how much the electrician will charge Laura.
Give the expression and answer please
Answer:
The answer is 50x + 70
Step-by-step explanation:
I am happy to help. An expression has no equal sign. We don't know how much the electrician will charge Laura. But we do know how much hours the job is. Laura also has to pay for the electrical parts that are 20 dollars and 50 dollars for a new ceiling fan. This is an additional cost. In all, the expression would be 50x + 70, if it is simplified. You would add like terms, such as 20 and 50 to get 70.
Which points are 19 units apart?
A line has a slope of 6 and includes the points (n,1) and (8,5). What is the value of n?
Answer:
The value of n:
[tex]n=\frac{22}{3}[/tex]Step-by-step explanation:
Given that the line has slope 6.
i.e. m = 6
The line includes the points
(n, 1)(8, 5)Using the formula to find the slope of the points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(n,\:1\right),\:\left(x_2,\:y_2\right)=\left(8,\:5\right)[/tex]
[tex]m=\frac{4}{8-n}[/tex]
as
m = 6
substituting m = 6
[tex]6=\frac{4}{8-n}[/tex]
[tex]6\left(8-n\right)=4[/tex]
Divide both sides by 6
[tex]\frac{6\left(8-n\right)}{6}=\frac{4}{6}[/tex]
[tex]8-n=\frac{2}{3}[/tex]
subtract 8 from both sides
[tex]8-n-8=\frac{2}{3}-8[/tex]
simplify
[tex]-n=-\frac{22}{3}[/tex]
Divide both sides by -1
[tex]\frac{-n}{-1}=\frac{-\frac{22}{3}}{-1}[/tex]
[tex]n=\frac{22}{3}[/tex]
Therefore, the value of n:
[tex]n=\frac{22}{3}[/tex]How much ply wood is needed to make 12
cabinets each requires 5 m long?
Answer:
60 m worth?
Step-by-step explanation:
5×12
Ben needs to buy an equal number of sunglasses and beach balls to place in gift bags. Each pair of sunglasses costs $4 and each beach ball costs $2.50. If he has $45 to spend on the sunglasses and beach balls, then the inequality 4x + 2.5x greater than or equal to 45 can be used to find the number of each item he can buy. How much money will he have left after buying the greatest number of sunglasses and beach balls?
$0.09 will he have left after buying the greatest number of sunglasses and beach balls.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
Model Inequality: 4x + 2.5x ≥ 45.
Now, solving for inequality
4x + 2.5x ≥ 45.
(4 + 2.5)x ≥ 45
6.5x ≥ 45
x ≥ 45/ 6.5
x≥ 6.92
x≥ 7 (approx)
So, the max price for sunglasses and beach balls = 4(6.92)+ 2.5(6.92)
= $44.91
Thus, the left money is = 45- 44.91 = $ 0.09
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what is 20 percent of 90?
Answer:
18
Step-by-step explanation:
plllllllllllllllllllllllllllllllllllllllllllzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help
Answer:
63/9=7
6.3/0.9=7
0.63/0.09 = 7
Step-by-step explanation:
Rafael Is going on a trip to the beach with his family. The price of a hotel room is $120.85 per night. The family is sharing one room. The total bill before taxes is $483.40. How many nights are Rafael and his family staying in the hotel?
Answer:
They spend four nights
Step-by-step explanation:
Divide 483.40 by 120.85
36^(-2x+1)=216 solve for x PLZZZZZZ!!!!!
(6)^2(-2x+1)=(6)³
evaluating the power of both sides as having same base (6)
2-4x=3
2-3=4x
x=-0.25
The solution of the expression for the value of x is -0.25.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is [tex]36^{(-2x+1)}=216[/tex]
The expression can be written as:-
[tex](6)^{(2)(-2x+1)}=(6)^3[/tex]
Evaluating the power of both sides as having the same base (6)
2-4x = 3
2-3 = 4x
x = -0.25
Hence, the value of x is -0.25.
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