Answers
notice, an arithmetic sequence has a "additioner", or a "common difference", from -1 to 3 terms later it ends up as -4, so the common difference is -1.
so, therefore the sequence is then -1, (-1-1) = -2, (-2-1)=-3, (-3-1)= -4 and so on.
so f(-1) = -1, f(4) = -4, f(10) = -10, thus f(n) = -n
Related Questions
To make 112 dozen muffins, a recipe uses 312 cups of flour.
How many cups of flour are needed for every dozen muffins made?
Answers
The perimeter of a church window is 80 inches. If the window is in the shape of a square.what is the length of each side of the window?
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The length of each side of the church window is 20 inches.
Explanation:To find the length of each side, we need to determine the perimeter of the square. The perimeter is the sum of all four sides of the square. In this case, it is given that the perimeter is 80 inches. Since all sides of a square are equal in length, we can divide the perimeter by 4 to find the length of each side. So, each side of the church window will be 80 inches divided by 4, which is 20 inches.
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solve for w w- 8=32
answer choices
4
24
40
256
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Hope this helps!
Decrease £1280 by 60%
Answers
768
What is the unit rate for 4543.08 km in 52.4 h? Enter your answer, as a decimal, in the box. km/h
Answers
hope this helps :)
Final answer:
The unit rate, or average speed, for traveling 4543.08 km in 52.4 hours is calculated by dividing the distance by the time, resulting in an average speed of 86.70 km/h.
Explanation:
The question asks for the unit rate of 4543.08 km traveled in 52.4 hours, which is essentially asking for the average speed in kilometers per hour (km/h). To find this, you would divide the total distance traveled by the total time taken.
Mathematically, this is expressed as:
Distance (km) / Time (h) = Speed (km/h)Substituting the given values:
4543.08 km / 52.4 h = 86.70 km/hTherefore, the unit rate or average speed is 86.70 km/h. It's important to note that when calculating such problems, it's essential to maintain consistency in the units (in this case, km for distance and hours for time) to ensure the accuracy of your result.
Jimmy ran 3 miles west and then 4 miles north. How far is he from his starting point if he went in a straight line? (It makes a right triangle.)
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the straight line would be 3^2 + 4^2 = X^2
9+16 = x^2
25 = x^2
x = sqrt(25)
x = 5
it is 5 miles
you are looking for the hypotenuse. 3^2+4^2=c^2. which simplifies to 25=c^2. So your final answer is 5 miles
Graph the system of equations below on a piece of paper. What is the solution?
y = x – 1
y = 3x + 1

A. (2, 1)

B. (1, –2)

C. (–1, –1)

D. (–1, –2)
Answers
Answer:
Option D is correct
Solution = (-1, -2)
Step-by-step explanation:
Given the equation:
y = x – 1 ....[1]
y = 3x + 1 ....[2]
Equate equation [1] and [2] to solve for x.
[tex]x-1=3x+1[/tex]
Subtract x from both sides we have;
[tex]-1=2x+1[/tex]
Subtract 1 from both sides we have;
[tex]-2=2x[/tex]
Divide both sides by 2 we have;
x = -1
Substitute the value of x = -1 in [1] we have;
y=-1-1 = -2
Graphically:
Graph the system of equations as shown below.
The intersection point of these lines is the solution for the given system of equation
⇒ (-1, -2)
Therefore, the solution for the given system of equation is, (-1, -2)
Is 27 a percent square?
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so no 27 isnt a perfect square
Anyone know how to do B? Help please do!
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Let’s establish first that our result is going to be negative. That’s a non-negotiable. Now, we can turn our attention to the 25/7. What is “one whole” when we’re dealing with sevenths? Well, splitting one whole thing into sevenths is the same as splitting it into 7 equal pieces, so in any one whole, we’ll have 7/7.
So, finding the *whole* part of 25/7 is the same thing as finding out how many *whole 7s* fit in 25. We can fit 3 whole 7s into 25, so our whole part is 3. Dividing 25 by 7 leaves us with *4/7* (since 7 x 3 = 21 and 25 - 21 = 4), so our fractional part is 4/7. Putting that together:
Adding back on the negative sign from the beginning, we find that our mixed number is [tex]-3 \frac{4}{7} [/tex].
Help me asap!!
quick before I'm late
Answers
36/2 = 18
80/2=40
36/80 = 18/40
18/2 =9
40/2 = 20
36/80 = 9/20
The number of cases of a new disease can be modeled by the quadratic regression equation y = –2x2 + 36x + 6, where x represents the year.
Which is the best prediction for the number of new cases in year 15?
A. 194
B. 96
C. 328
D. 614
Answers
Answer: B 96
Step-by-step explanation:
By evaluating the function in x = 15, we will see that in the year 15 there will be 96 cases.
Which is the best prediction for the number of new cases in year 15?
The function that predicts the number of cases in the year x is given by:
[tex]y = -2x^2 + 36x + 6[/tex]
So we just need to evaluate that function in x = 15, this means replacing x by 15.
[tex]y = -2*15^2 + 36*15 + 6 = 96[/tex]
So we can expect that in the year 15, there will be around 96 cases. Then the correct option is B.
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What is the amount of sales tax on a suit priced at $2977 if the sales tax rate is 4%?
Answers
4% = .04
2977 * .04 = 119.08
The amount of salex tax on a suit priced at $2977 is $119.08
In a poll, respondents were asked whether they had ever been in a car accident. 215 respondents indicated that they had been in a car accident and 449 respondents said that they had not been in a car accident. If one of these respondents is randomly selected, what is the probability of getting someone who has been in a car accident? Round to the nearest thousandth, if necessary
Answers
The probability of getting someone who has been in a car accident will be 0.3238
Number of people that indicated that they had been in a car accident = 215 respondents
Number of people that said that they had not been in a car accident = 449
The probability of getting someone who has been in a car accident will then be calculated as:
= 215/664
= 0.3238
Therefore, the probability of getting someone who has been in a car accident will be 0.3238
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Ryan earned $376 by working for 4 days. If he earned the same amount each day, how much could he earn working 5 days?
Answers
To transport 228 people to an island island ferry make six different trips on each trip the ferry carries the same number of people how many people does the ferry transport on each trip
Answers
Answer:
38 people
Step-by-step explanation:
Given: To transport [tex]228[/tex] people to an island island ferry make six different trips on each trip the ferry carries the same number of people.
To Find: how many people does the ferry transport on each trip.
Solution:
Total number of people to be transported [tex]=228[/tex]
Total number of trips made by island ferry [tex]=6[/tex]
As ferry carries same number of people in each trip
number of people ferry transport in each ferry [tex]=\frac{\text{total number of people to be transported}}{\text{total number of ferries}}[/tex]
putting values,
[tex]=\frac{228}{6}[/tex]
[tex]38[/tex]
Hence number of people ferry transport in each island ferry is [tex]38[/tex].
Section J in an arena has 20 rows. Each row has 15 seats. Our tickets cost $18 each. If all the seats are sold, how much money with the Arena collect the section J
Answers
Suppose your statistics professor reports test grades as z-scores, and you got a score of 2.20 on
Answers
Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5,880,000,000,000 miles. Suppose a star is 13.6 light-years from Earth. In scientific notation, how many miles away is it?
Answers
Answer:
The distance traveled in 13.6 light year is [tex]7.9968\times 10^{13}\text{ miles}[/tex]
Step-by-step explanation:
Given : Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5,880,000,000,000 miles. Suppose a star is 13.6 light-years from Earth.
To find : In scientific notation, how many miles away is it?
Solution :
According to question,
The distance can travel in 1 light year is
[tex]1 \text{ light year} = 5,880,000,000,000 \text{ miles}[/tex]
We have to find the distance traveled in 13.6 light-years.
[tex]13.6 \text{ light year} =13.6\times 5,880,000,000,000 \text{ miles}[/tex]
[tex]13.6 \text{ light year} =79,968,000,000,000 \text{ miles}[/tex]
In scientific notation,
[tex]13.6 \text{ light year} =7.9968\times 10^{13}\text{ miles}[/tex]
Therefore, The distance traveled in 13.6 light year is [tex]7.9968\times 10^{13}\text{ miles}[/tex]
At a certain college, the probability that a student attends full-time is 0.320 and the probability that the student attends part-time is 0.680. At the same college, the probability that a student receives financial aid is 0.570 while the probability that a student does not receive financial aid is 0.430. If a student is randomly selected, what is the probability that the student attends full-time and does not receive financial aid?
Answers
the probability that a randomly selected student attends full-time and does not receive financial aid is ( 0.1376 ), or ( 13.76% ).
To find the probability that a student attends full-time and does not receive financial aid, we can use the multiplication rule for independent events.
Given:
- Probability of attending full-time: [tex]\( P(\text{full-time}) = 0.320 \)[/tex]
- Probability of not receiving financial aid:[tex]\( P(\text{no financial aid}) = 0.430 \)[/tex]
By the multiplication rule, the probability of both events occurring is the product of their individual probabilities:
[tex]\[ P(\text{full-time and no financial aid}) = P(\text{full-time}) \times P(\text{no financial aid}) \][/tex]
[tex]\[ = 0.320 \times 0.430 \][/tex]
[tex]\[ = 0.1376 \][/tex]
Therefore, the probability that a randomly selected student attends full-time and does not receive financial aid is ( 0.1376 ), or ( 13.76% ).
fill in the table using this function rule. y=-4x+2
x y
-1
0
1
2
Answers
for example:
if we take the number x is -1 all you do is:
y=-4(-1)+2
y=4+2
y=6
thats the first one done
To fill in the table using the function rule y = -4x + 2, substitute the given x-values into the equation and solve for y.
To fill in the table using the function rule y = -4x + 2, substitute the given x-values into the equation and solve for y.
For x = -1, substitute x = -1 into the equation: y = -4(-1) + 2
For x = 0, substitute x = 0 into the equation: y = -4(0) + 2
For x = 1, substitute x = 1 into the equation: y = -4(1) + 2
For x = 2, substitute x = 2 into the equation: y = -4(2) + 2
By evaluating the expressions, you will obtain the corresponding y-values for each x-value.
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if f(x)=-x+8 and g(x)= x^4 what is (g°f)(2)?
Answers
so, a way to do it is, get the value of the first one, then insert that output into the second.
[tex]\bf \begin{cases} f(x)=-x+8\\ g(x)=x^4\\ (g\circ f)(x)=g(~~f(x)~~) \end{cases} \\\\\\ (g\circ f)(2)=g(~~f(2)~~) \\\\\\ f(2)=-(2)+8\implies \boxed{f(2)=6} \\\\\\ g(~~f(2)~~)\implies g\left(~~\boxed{6}~~ \right)\implies g(6)=(6)^4\implies g(6)=1296[/tex]
what is the answer to this including shown work?
Answers
28p^2 + 5
How many lines can be drawn through points j and k?
Answers
ron has a 4 1/2 pound bag of beans. he wants to sell the beans in 2/3 pound bags. how many whole bags can he fill?
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first, let's convert the mixed fraction to "improper" and do the division.
[tex]\bf \stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}}\\\\ -------------------------------\\\\ \cfrac{\quad \frac{9}{2}\quad }{\frac{2}{3}}\implies \cfrac{9}{2}\cdot \cfrac{3}{2}\implies \cfrac{27}{4}\implies 6\frac{3}{4}[/tex]
what is the perimeter of the trapezoid graphed below?
Answers
1) Upper base: 6 - 4 = 2 units
2) Lower base: 8 - 2 = 6 units
3) left side:
left side ^2 = (4 - 2)^2 + (9 - 4)^2 = 2^2 + 5^2 = 4 + 25 = 29
=> left side = √29 units
4) rigth side = (8 - 6)^2 + (9 - 4)^2 = 29
=> right side = √29 units
5) Perimeter = 2 units + 6 units + √29 units + √29 units = 8 + 2√29 units
Answer: option D. 8 + 2√29 units
A theatre contains 441 seats and the ticket prices for a recent play were $60 for adults and $16 for children. If the total proceeds were $14,800 for a sold-out matinee, how many of each type of ticket were sold?
Answers
x+y=441
that implies y=441-x so
14,800=60x+16(441-x)
14,800=60x+16*441-16x
14,800-16*441=44x
7744=44x
x=176 kids and 441-176 adults
What is the circumference and area of a circle with a radius of 4 meters? Round your answer to the nearest tenth. (Use 3.14 for Pi.)
Answers
C = 2(3.14)4.0= 25.12 round 25.10 m
Answer: Circumference = 25.1 meters.
Area = 50.2 square meter.
Step-by-step explanation:
The circumference of a circle is given by :-
[tex]C=2\pi r[/tex]
Area of circle is given by :-
[tex]A=\pi r^2[/tex], where r is the radius.
Given : Radius = 4 meters
Then circumference of the circle will be :-
[tex]C=2(3.14) (4)=25.12\approx25.1\text{ meters}[/tex]
Area of circle is given by :-
[tex]A=(3.14)(4)^2=50.24\approx50.2\text{ meters}^2[/tex]
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Bills had enough to buy no more than 1/2 pound of cheese. How much cheese could he buy?
Answers
Bill can buy less than or equal to (≤) a 1/2 pound of cheese.
Hope this answers the question.
A $15,000, 11%, 120-day note dated Sept. 3, is discounted on Nov. 11. Assuming a bank discount rate of 9%, the proceeds would be
Answers
Complete the following statements in relation to the third term in the expansion of the binomial (2x+y^2)^5
Answers
From Pascal's Triangle (shown below), the coefficients of the expansion are
1,5,10,10,5,1.
n=0: 1
n=1: 1 1
n=2: 1 2 1
n=3: 1 3 3 1
n=4: 1 4 6 4 1
n=5: 1 5 10 10 5 1
Therefore the third term in the expansion is
10*(2x)³*(y²)² = 10*(8x³)*(y⁴) = 80x³y⁴
Alternatively, the third term is
₅C₃ (2x)³(y²)² = 10*(8x³)*(y⁴) = 80x³y⁴
Answer: 80x³y⁴
Answer:
coefficient = 80
The power of x = 3
The power of y = 4
Step-by-step explanation:
did the test on plato/edmentum and got it right