Answer:
6, 4, 2, 0
Step-by-step explanation:
To find the first 4 terms, substitute n = 1, 2, 3, 4 into the n th term formula, that is
a₁ = 8 - 2(1) = 8 - 2 = 6
a₂ = 8 - 2(2) = 8 - 4 = 4
a₃ = 8 - 2(3) = 8 - 6 = 2
a₄ = 8 - 2(4) = 8 - 8 = 0
The first 4 terms are 6, 4, 2, 0
Which graph shows a proportional relationship between x and y?
F)A
H)B
G)C
J)D
Answer:
F
Step-by-step explanation:
solve by completing the square: -14 + x^2 = 5x
Answer:
x = 7, x = -2Step-by-step explanation:
Solving by completing square
-14 + x^2 = 5xx^2 - 5x - 14 = 0x^2 -2*2.5x + 6.25 - 20.25 = 0(x -2.5)^2 = 20.25(x - 2.5)^2 = 4.5^2x - 2.5 = 4.5 ⇒ x = 7x - 2.5 = -4.5 ⇒ x = -2If f(x) = 5x + 40, what is f(x) when x = -5?
A. -9
B. -8
C. 7
D. -5
(please help)
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
So first thing we'll have to plug in what we know...
[tex]-5=5x+40[/tex]
Then we should start by subtracting 40 on both sides...
[tex]-45=5x[/tex]
Then after that we will simple just have to divide 5 on both sides to get the answer of...
[tex]f(x)=-9[/tex]
So it's choice A. -9
what is the definition of data
Answer:
facts and statistics collected together for reference or analysis
a piece of information :)
Step-by-step explanation:
Rewrite 9/4 as a decimal ?
Answer:
2.25
Step-by-step explanation:
Change the fraction so that the denominator is something that's a factor of 100
9/4 = x/100
9 x 25 = 225
-----------------------
4 x 25 = 100
225/100
Now divide to get your decimal
225/100 = 2.25
a Math
Which is NOT true?
A.
7 + 7 = 19 - 5
B.
9 + 9 = 11 + 7
c.
19 = 13 + 5
D.
20 - 12 = 4 + 4
The statement which is not true is c. 19 = 13 + 5
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
The given statements are,
A. 7 + 7 = 19 - 5
B. 9 + 9 = 11 + 7
C. 19 = 13 + 5
D. 20 - 12 = 4 + 4
Taking each statement one by one,
A. 7 + 7 = 19 - 5
So, L.H.S. = 7 + 7 = 14
and R.H.S. = 19 -5 = 14
Thus, L.H.S = R.H.S
Therefore the statement is true.
B. 9 + 9 = 11 + 7
So, L.H.S. = 9 + 9 = 18
and R.H.S. = 11 + 7 = 18
Thus, L.H.S = R.H.S
Therefore the statement is true.
C. 19 = 13 + 5
So. So, L.H.S. = 19
and R.H.S. = 13 + 5 = 18
Thus, L.H.S ≠ R.H.S
Therefore the statement is not true.
D. 20 - 12 = 4 + 4
So, L.H.S. = 20 - 12 = 8
and R.H.S. = 4 + 4 = 8
Thus, L.H.S = R.H.S
Therefore the statement is true.
Thus, the statement which is not true is c. 19 = 13 + 5.
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What can be the leading term of the polynomial equation graphed below? answer choices(0.1)x4 (0.1)x^3 (-0.1)x^3 -(0.1)x^4
Answer:
The leading term of the given polynomial equation is (0.1)x³ ⇒ (B)
Step-by-step explanation:
To find the polynomial equation from its graph search about
x-intercepts (values x at y = 0)y-intercept (value y at x = 0)Use the x-intercepts to find its factorsThe product of its factors gives the terms of the polynomial equationIf the x-intercepts of the graph are (a, 0) and (m, 0) then the factors of it are (x - a) and (x - m), then the polynomial is y = (x - a)(x - m)From the given graph
∵ There are three x-intercepts (-2, 0), (0, 0), (4, 0)
→ That means the polynomial equation has 3 factors use the
x-intercepts to find them
∵ The x intercept is (-2, 0)
∴ x = -2
→ Add 2 to both sides
∴ x + 2 = -2 + 2
∴ x + 2 = 0
→ That means the equation has a factor (x + 2)
∴ (x + 2) is a factor of the given polynomial equation
∵ The x intercept is (4, 0)
∴ x = 4
→ Sutract 4 from both sides
∴ x - 4 = 4 - 4
∴ x - 4 = 0
→ That means the equation has a factor (x - 4)
∴ (x - 4) is a factor of the given polynomial equation
∵ The x intercept is (0, 0)
∴ x = 0
∴ x is a factor of the given polynomial equation
→ To find the polynomial multiply its factors
∴ y = x( x + 2)(x - 4)
∵ The leading term is the first term
∵ x(x)(x) = x³ is the first term when we multiply the 3 factors
∴ The leading term is x³
→ The choices have (0.1)x³
∴ y = 0.1x(x + 2)(x - 4)
∴ The leading term of the given polynomial equation is (0.1)x³
Easy with a lot of points
Help me solve these three problems!!
Step-by-step explanation:
4y=12x+20
4y=32x
4y/4=32x/4
=8x
pls help fast<3
tysm ily
Answer:
Step-by-step explanation:
This picture isn't showing
Answer:
why is the pic blurry?
Step-by-step explanation:
can you reupload?
Write an equation to represent the relationship “ the product of 7 and a number is 28” then solve the equation
Answer:
7x = 28
Step-by-step explanation:
Divide the 28 by the 7 to isolate the x
28 / 7 = 4
x = 4
I need help asap
.
.
Answer:
The area is 73m^2
Step-by-step explanation:
Answer:
73 m
Step-by-step explanation:
12 × 9 = 108 m12 - 3 - 2 = 7 m7 × 5 = 35 m108 - 35 = 73 mI hope this helps!
Tyrone wants to simplify the expression shown. Drag each step to the correct row to show the order in which Tyrone should simplify the expression. 7 ( 3.5x - 2 ) + 6.3y + 5.1 + 4y
Last year, a college's tuition was 40,000$. This year, the tuition increased by 4%.
what is This year's tuition ?>???
Answer:
41600
Step-by-step explanation:
4% of 40000=1600
40000+1600=41600
While completing a practice test online, M’Lea answered 6 out of 20 questions incorrectly. If the ratio of incorrect to total questions remains constant, how many questions should M’Lea answer correctly out of 30 questions?
a furlong is a distance of 180 yards. a fortnight is a time period of two weeks. a race horse is running at a speed of 7 yards per second. what is his speed in furlongs per fortnight?
The race horse's speed is approximately 256 furlongs per fortnight.
To determine the race horse's speed in furlongs per fortnight, we need to convert both the distance and time units to their respective values.
1 furlong is equal to 180 yards, so the horse's speed in yards per second (7 yards/second) can be converted to furlongs per second:
Speed in furlongs per second = (7 yards/second) / (180 yards/furlong) = 7/180 furlongs/second
Next, we need to convert the time from seconds to fortnights. Since a fortnight is a time period of two weeks, and there are 7 days in a week, a fortnight consists of 14 days:
Time in seconds per fortnight = (14 days/fortnight) * (24 hours/day) * (60 minutes/hour) * (60 seconds/minute) = 1,209,600 seconds/fortnight
Finally, we can calculate the horse's speed in furlongs per fortnight by multiplying the speed in furlongs per second by the time in seconds per fortnight:
Speed in furlongs per fortnight = (7/180 furlongs/second) * (1,209,600 seconds/fortnight) = 46,080/180 furlongs/fortnight ≈ 256 furlongs/fortnight
The race horse's speed is approximately 256 furlongs per fortnight.
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If Hal multiplies one side of the equation below by 7, what does he need to do to balance the equation? 56 + 124 = 180 A Add 7 to the other side. B Subtract 7 from the other side. C Divide each side by 7. D Multiply the other side by 7.
Answer:D
Step-by-step explanation: All equations should be balanced and equal. What you do to one side, must be done to the other.
evaluate x+2.7 for x=-1.5
Answer:
1.2
Step-by-step explanation:
First make -1.5 equal to 0.
We'll have to add 1.5, right?
So 1.5 is in 2.7.
So now its 0 + ? = ?
2.7 - 1.5 = 1.2
So 0 + 1.2 = 1.2
Hope this helped.
The value of the perimeter of the figure is equal to the value of the area. Find the value of X.
Answer:
x = 3
Step-by-step explanation:
The required value of the x for the given rectangle is 3cm.
Given that,
For a rectangle 1
Length = 6
Width = x
Area of the rectangle = perimeter of the rectangle
The rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.
What is the perimeter?Perimeter is the measure of the figure on its circumference.
Example, for square = 4 * sides or side + side + side + side
Here,
The perimeter of the rectangle, = 2 length + 2 width.
Area of the rectangle = length * width
According to question,
area of the rectangle = perimeter of the rectangle
6 * x = 6*2 + 2x
6x - 2x = 12
4x = 12
x = 3
Thus, the required value of the x for the given rectangle is 3cm.
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Define the problem k-independent set. b) Explain why the brute force method for solving k-clique runs in polytime if k is constant but in Ω(2
n
) time when k=n/2. c) Give a polytime answer-preserving transformation T from k-clique to k-independent set (so T takes as input an instance of k-clique and gives as output an instance of k-independent set). Prove that T is polytime. Prove that T is answer-preserving.
The transformation T preserves the answer: if G has a k-clique, then G' has a k-independent set, and vice versa.
a) **Problem Definition: K-Independent Set**
A k-independent set is a subset of vertices in a graph such that no two vertices in the set are adjacent (i.e., there is no edge connecting them). Formally, given an undirected graph G = (V, E), a k-independent set S is a subset of V where for every pair of vertices u and v in S, there is no edge (u, v) in E. The goal is to find the largest k-independent set in the given graph.
b) **Brute Force Method for Solving K-Clique**
The brute force method for solving the k-clique problem involves examining every possible subset of k vertices in the graph and checking if each subset forms a complete subgraph (clique) of size k. If the size of the graph is n and k is constant, then the number of possible subsets to examine is a polynomial function of n. Thus, the brute force method runs in polynomial time when k is constant.
However, when k=n/2, the brute force method becomes inefficient. The number of subsets of k vertices to examine becomes 2^n/2, which grows exponentially with the size of the input graph. This exponential growth makes the brute force method impractical for larger values of n.
c) **Transformation from K-Clique to K-Independent Set**
To transform an instance of the k-clique problem to the k-independent set problem, we define the following polynomial-time transformation T:
Given an instance of k-clique G = (V, E), construct a new graph G' = (V, E'), where E' consists of all the edges in G that are not in E. In other words, the edges in G' are complementary to the edges in G.
The transformation T is polynomial-time because constructing G' from G can be done in polynomial time since the size of E' is at most the size of E.
**Proving T is Polynomial-Time:**
The transformation T runs in polynomial time because constructing G' from G requires checking each edge in E, which can be done in polynomial time.
**Proving T is Answer-Preserving:**
Let C be a clique of size k in G. If we apply the transformation T to G and obtain G', then the vertices in C will not be adjacent in G', as they form a clique in G. Hence, C becomes a k-independent set in G'.
Conversely, if S is a k-independent set in G', then the vertices in S are not adjacent in G'. This means that there is no edge connecting any pair of vertices in S in G'. Thus, S forms a clique of size k in G.
Therefore, the transformation T preserves the answer: if G has a k-clique, then G' has a k-independent set, and vice versa.
In conclusion, the transformation T from k-clique to k-independent set is polynomial-time and answer-preserving.
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Which group in the box describes the basic principles of the Magna Carta?
Group A
Restricted the powers of the king
Guaranteed certain rights and liberties to the people
Established England as a constitutional monarchy
Group B
Nobles and church leaders had certain rights that
the king could not take away
The punishment for a freeman or merchant could
not take away his means of making a living
Women could request arrests only if their husbands
were murdered
Group C
Applied the law equally throughout the land
Used juries to help make decisions
Answer:
Group B.
Step-by-step explanation:
Magna Carta is considered as one of the most document in the history of England. The document was signed by King John on June 15, 1215. The document was a result of barons who stood in oppose to the King and forced him to write this document restricting the right's of the Crown. There are total 63 clauses in the document.
The set of group that describes basic principes of the Magna Carta is Group B. The document bestows churches the rights to chose their leaders without any interference from the King. These rights, according to the document were not to be taken away from the church. This principle can be found in Clause 1 of the document. Another Clause that permits freeman and merchants of continue making their livelihood can be found in Clause 20. Clause 20 permits freeman and merchants to exercise their livelihood even after they were punished. And, Clause 54, of the document gave woman rights to make an appeal to arrest only if their husbands were murdered.
Therefore Group B is the correct answer.
The sum of a number and 4
Answer:
x+4
Step-by-step explanation:
Q divided by 6 equals 4
What is Q=
Answer: Q=24
Step-by-step explanation: 6•4=24
Hey there!
Question/Equation: Q/6 = 4
Steps to solve this equation ⬇️
q/6 = 4
We can substitute “q” as an invisible 1 (for now)
• MULTIPLY by 6 on each of your side
q/6 = 4
q / 6 * 6 = 4 * 6
• CANCEL OUT: 1/6 * 6 because that gives you 1
• KEEP: 4 * 6 because it helps us solve for the actual value of q
• New question/equation: q = 4 * 6
4 * 6 = 24 ; 24 = 4 * 6
Thus, we have answered your question: q = 24
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
John bikes at a speed of 10 miles per hour. His friend Brian is slower, his biking speed is only
8 miles per hour.
Today the boys went for a 20 miles trip, each boy was biking at his usual speed. How long did John wait for Brian at the finish line?
PLZZZZZZZZ HELP QIUCK
Answer:
John waited for Brain at the finish line for a half-hour. (or 30 minutes)
Step-by-step explanation:
The rule of the distance is D = s × t, where
s is the speed to travel the distance Dt is the time taken to cover the distance DLet us use this rule to solve the question
∵ John's speed = 10 miles/hour
∵ Brian's speed = 8 miles/hour
→ Slower speed takes more time
∵ The distance of the trip is 20 miles
∴ D = 20 miles
→ Find the time of each one, using the rule above
∵ D = s × t
→ Find John's time
∴ 20 = 10 × t
∴ 20 = 10t
→ Divide both sides by 10
∴ 2 = t
∴ John's time = 2 hours
→ Find Brian's time
∴ 20 = 8 × t
∴ 20 = 8t
→ Divide both sides by 8
∴ 2.5 = t
∴ Brain's time = 2.5 hours
→ Subtract their times to find for how long John waited
∵ 2.5 h - 2 h = 0.5 h
∴ The difference between their times is 0.5 hour
∴ John waited for Brain at the finish line for a half-hour (or 30 minutes)
Answer:
1/2 hours
Step-by-step explanation:
Plz help me and solve step by step
Thank you.
Answer:
p ≥ 13
13 pizzas at least
Step-by-step explanation:
$107 + $4 = $111
$111/$9 = 12.3333 round it to 13
now we know he needs to sell at least 13 pizzas so the inequality p= 13 or p > 13.
This is my go at it, I am not sure though.
the distance a car travels can be found using the formula d=rt, where d is the distance in miles, r is the rate of speed in miles per hour, and t is time in hours. bill drives his car at 70 miles per hour for 1/2 hour.
Answer:
35 miles
Step-by-step explanation:
d=(70)(.5)
d=35 miles
PLEASE PLEASE HELP properties of a parallelogram ixl f CD=x+45 and CF=10x+9, find the value of x in parallelogram DEFG. see attached pic. ill give brainliest if correct
Answer: Cant help sorry I'm in 7th grade
Step-by-step explanation:
A piece of equipment has two components, A and B. The equipment will fail if either component A or B fails. If the system Has a probability of failure =.003, and A has a reliability of 998 , what is the reliability of B ?
The reliability of component B in the equipment system can be calculated based on the given information that the probability of system failure is 0.003 and component A has a reliability of 0.998.
The reliability of a system is the probability that it will function without failure over a specified period. In this case, the system will fail if either component A or B fails. Let's denote the reliability of component B as R(B). The probability of system failure is equal to the complement of the reliability, so we have:
Probability of failure = 1 - R(B) = 0.003.Given that the reliability of component A is 0.998, we know that the system will only fail if both components A and B fail simultaneously. Since the system failure probability is very low (0.003), we can assume that the probability of both components failing together is negligible.
Probability of failure = Probability of failure of A * Probability of failure of B. Since the probability of failure of A is negligible compared to the system failure probability, we can simplify the equation as: 1 - R(B) ≈ 0.003. Solving for R(B), we find: R(B) ≈ 1 - 0.003 = 0.997
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ten 4th grade girls and ten 7th grade girls were randomly selected. their heights, in inches, are recorded below. q9 on average, 7th grade girls tend to be about question blank 1 of 2 choose your answer... inches taller than 4th grade girls. which statement is true? question blank 2 of 2 choose your answer...
On average, 7th grade girls tend to be about 5 inches taller than 4th grade girls. The correct choice is the statement "On average, 7th grade girls tend to be about 5 inches taller than 4th grade girls" is true.
Explanation: Given the data for ten 4th grade girls and ten 7th grade girls with their heights recorded in inches, we need to determine whether the given statement is true or false. Here are the heights of 4th grade girls:57, 60, 53, 59, 54, 55, 59, 57, 56, 55.Here are the heights of 7th grade girls:63, 64, 65, 64, 69, 61, 65, 63, 67, 67.The average height of 4th grade girls is calculated as follows:
Total height of 4th grade girls = 57 + 60 + 53 + 59 + 54 + 55 + 59 + 57 + 56 + 55 = 565.
Average height of 4th grade girls = Total height of 4th grade girls / Number of 4th grade girls= 565 / 10 = 56.5.
So, the average height of 4th grade girls is 56.5 inches.
The average height of 7th grade girls is calculated as follows:
Total height of 7th grade girls = 63 + 64 + 65 + 64 + 69 + 61 + 65 + 63 + 67 + 67 = 658.
Average height of 7th grade girls = Total height of 7th grade girls / Number of 7th grade girls= 658 / 10 = 65.8.
So, the average height of 7th grade girls is 65.8 inches. On average, 7th grade girls tend to be about (65.8 - 56.5) = 9.3 inches taller than 4th grade girls.
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Help!
I need help, I don’t understand
Answer:
Well if the total equals 180-degrees you have to make an assumption or let someone smarter just do it for you. also that box means it's a 90-degree angle so the rest is cut in half; what times three and seven would equal to 90-degrees? I can't do much anymore my brain hurts lol
Step-by-step explanation:
Hope this helps :)
Jamie drew a scale drawing of her backyard. In her drawing 1 inch represents 3 feet. The actual length of the backyard is 48 feet. How long is the backyard in the drawing?
Answer:
lol govany its jeovany ik u
Step-by-step explanation:
