Find the 87th term in the following
arithmetic sequence:
-2, 6, 14, 22, ...
Hint: Write a formula to help you.
1st term + common difference (desired term - 1)
Answers
Answer:
first term (a)=-2
common difference (d)=8
Now,
87th term=a+(n-1)d
=-2+(87-1)×8
=-2+86×8
=-2+688
=686
Related Questions
Is 19.333... a rational number?
Answers
Answer:
No. it is not. Hope this helped!!
1 fith of the sum of the 3 times a number and 9
Answers
Answer
3*9=27
27/ 1/5
5.25
Step-by-step explanation:
5.25=5 1/4
4. You have 36 pairs of running shoes. Let x be the
number of Nikes and y be the number of Adidas shoes
you own. You own twice as many Nikes as Adidas
shoes.
d
Write and solve a linear system of equations to find the
number of each brand of shoes.
Answers
Answer:
Nikes: 24 pairsAdidas: 12 pairsStep-by-step explanation:
The system of equations can be written ...
x + y = 36
x = 2y
__
The system can be solve by substituting for x:
(2y) +y = 36
y = 12 . . . . . . divide by 3
x = 2(12) = 24
There are 24 pairs of Nikes and 12 pairs of Adidas.
Y=x^3-4x^2-20x+48 use the rational zero theorem
Answers
The roots of the given polynomial using the rational zero theorem are; 2, -4 and 6.
How to use the rational zero theorem?We are given the polynomial;
y = x³ - 4x² - 20x + 48
Since all coefficients are integers, we can apply the rational zeros theorem.
The trailing coefficient (the coefficient of the constant term) is 48
Find its factors (with the plus sign and the minus sign): ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±16, ±24, ±48.
These are the possible values for p.
The leading coefficient (the coefficient of the term with the highest degree) is 1.
These are the possible rational roots:
±1, ±2, ±3, ±4, ±6, ±8, ±12, ±16, ±24, ±48.
Checking the possible roots: if a is a root of the polynomial P(x), the remainder from the division of P(x) by x - a should equal 0 (according to the remainder theorem, this means that P(a)=0
Plugging in those values, the only ones that yield P(a) = 0 are; 2, -4 and 6.
Thus, these are the roots of the given polynomial.
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Evaluate 5x, for x = 9
Answers
Answer:
Step-by-step explanation:
5(9) = 45
The following data are accumulated by Lone Peak Inc. in evaluating two competing capital investment proposals:3D Printer TruckAmount of investment $52,000 $48,000 Useful life 4 years 7 years Estimated residual value 0 0 Estimated total income over the useful life $4,160 $15,120 Determine the expected average rate of return for each proposal. If required, round your answers to one decimal place.3D Printer fill in the blank 1 %Truck fill in the blank 2 %
Answers
Average rate of return for 3D Printer is 4% and for Truck is 9%.
Average income = Estimated total income/ useful life.
For 3D Printer,
Average Income = 4160/ 4
Average Income = $1040
For Truck,
Average Income = 15120/ 7
Average Income = $2160
Average Investment = (Investment + residual value)/ 2
For 3D Printer,
Average Investment = (52000 + 0)/ 2
Average Investment = $26000
For Truck,
Average Investment = (48000 + 0)/ 2
Average Investment = $24000
Average rate of return = Average Income/ Average Investment
For 3D Printer,
Average rate of return = 1040/26000
Average rate of return = 4%
For Truck,
Average rate of return = 2160/24000
Average rate of return = 9%
Hence, average rate of return for 3D Printer is 4% and for Truck is 9%.
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Mookie Betts can run to first base (which is 90 feet) in 3.2 seconds. How fast would he run a 200 yard dash (there are 3 feet in 1 yard)?
Answers
Answer:
21.3 seconds
Step-by-step explanation:
PLS GIVE BRAINLIEST
Answer:
21.3 seconds
Step-by-step explanation:
600 ft (200 yds x 3) divided by 90 ft (length to a base) would be 6.6666667
6.6666667 times 3.2 equals 21.3
iinm
Factor the polynomial.
2x²10x + 12 =
Answers
Answer: 2(x+3)(x+2)
Step-by-step explanation:
PLEASE HELP ON QUESTION ASAP! 30PTS!
I WILL ALSO GIVE YOU A THANKS RATE YOU FIVE STARS AND MAYBE EVEN BRAINLIEST any silly answeres will be reported / deleted
Hiba needs 40g sugar to make 15 biscuits. she also needs three times as much flour as sugar . Hiba is going to make 60 biscuits . work out the amount of flour she needs .
Answers
40.3=120g flour➡️15 biscuits
60 biscuits = 16.4➡️120.4 = 480g flour
She needs 480g flour to make 60 biscuits
determine what type of model bets fits the given situation: A $500 raise in salary each year
Answers
The type of model that best fits the situation of a $500 raise in salary each year is a linear model.
In a linear model, the dependent variable changes a constant amount for constant increments of the independent variable.
In the given case, the dependent variable is the salary and the independent variable is the year.
You may build a table to show that for increments of 1 year the increments of the salary is $500:
Year Salary Change in year Change in salary
2010 A - -
2011 A + 500 2011 - 2010 = 1 A + 500 - 500 = 500
2012 A + 1,000 2012 - 2011 = 1 A + 1,000 - (A + 500) = 500
So, you can see that every year the salary increases the same amount ($500).
In general, a linear model is represented by the general equation y = mx + b, where x is the change of y per unit change of x, and b is the initial value (y-intercept).
In this case, m = $500 and b is the starting salary: y = 500x + b.
Two increased by the product of a number and 7 is at most -29
Answers
The number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.
The expression we need to solve is "Two increased by the product of a number and 7 is at most -29". We can express this as 2 + x × 7 ≤ -29 where x is the number we need to find.In order to solve this equation, we need to start by isolating the variable x. We can subtract 2 from both sides of the equation to get x × 7 ≤ -31. Then, we divide both sides of the equation by 7 to get x ≤ -31/7.Therefore, the number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.
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The number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.
The expression we need to solve is "Two increased by the product of a number and 7 is at most -29". We can express this as 2 + x × 7 ≤ -29 where x is the number we need to find.In order to solve this equation, we need to start by isolating the variable x. We can subtract 2 from both sides of the equation to get x × 7 ≤ -31. Then, we divide both sides of the equation by 7 to get x ≤ -31/7.Therefore, the number that satisfies the equation is x = -31/7. This means that if we two by the product of a number and 7, the result is at most -29 if the number is -31/7.
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solve the following system of equations graohically on the set of axes below.
Answers
To solve the system of equation graphically we need to plot each equation on the plane. First we notice that both equation are linear, which means that their graphs are lines; this also means that to graph them we just need two points for each equation. Let's graph the equations.
First equation: y=x-2
As we said we just need two points on the line, to get them we just need to give values to x (any values we want) and plug them in the equation to get y.
If x=0, then we have:
\(\begin{gathered} y=0-2 \\ y=-2 \end{gathered}\)hence the line passes through the point (0,-2)
If x=1, then we have:
\(\begin{gathered} y=1-2 \\ y=-1 \end{gathered}\)hence the line passes through the point (1,-1)
With this we conclude that the line passes through the points (0,-2) and (1,-1). Plotting this points on the plane and joining them with a straight line we have the graph of the first equation:
Second equation: y=-2x-5:
We follow the same procedure as with the first equation.
If x=0 we have:
\(\begin{gathered} y=-2(0)-5 \\ y=-5 \end{gathered}\)Hence the line passes through (0,-5)
If x=1 we have:
\(\begin{gathered} y=-2\left(1\right)-5 \\ y=-2-5 \\ y=-7 \end{gathered}\)Hence the line passes through (1,-7)
Plotting this points and joining then with a line we have the graph for the second equation:
Finally, we plot both lines in the same plane. The solution of the system will be the point of intersection of the lines. The graph of the system is shown below:
From it we notice that the lines intersect at (-1,-3).
Therefore, the solution of the system is the point (-1,-3) which means that x=-1 and y=-3.
PLS HELP
Jen traveled from Boston to Cape Cod at 60 mph. On her way back, the
traffic was bad and her return trip took 3 times as long. What was Jen's
average speed on the round trip?
Answers
Answer: 30 mph
Step-by-step explanation: As we know: the formula for Average Speed (AS) is Average Speed = Total Distance ÷ Total Time.
Since we don't know exactly how far Jen needed to drive, our distance there will be 1, and since we don't know how long it took to get there, we will put 1 as well.
Now we have to state the distance and time to get back. The distance will stay the same so we keep it 1. Now it is stated that when returning, it took Jen 3 times slower to get back, so we do 1 × 3 (because it took her longer) and get 3.
Next, we substitute: AS=TD÷TT ⇒ AS= (1+1) ÷ (1+3) = 2 ÷ 4= 1/2 or 1.4
Since our given beginning speed was 60mph, we need to multiply by 1/2 to get the final answer:
1/2 x 60 = 30
So ya, this is the answer *100% correct, checked on another website*
What role do animals have in the carbon cycle?
Group of answer choices
use water and release oxygen
use sugar and release carbon
use carbon and release oxygen
use carbon and release nitrogen
Answers
Answer:
Animals eat plants, and when they do, they obtain the carbon. Later, they release that carbon by means of respiration. Fungus, Bacteria, Algae and other microorganisms create carbon when they decompose dead plants and animals.
Step-by-step explanation:
hope this helps
Given: ,
bisects ∠AEC.
A horizontal line has points A, E, D. 2 lines extend from point E. One line extends to point B and another extends to point C. A small box represents the angle for C E D.
What statements are true regarding the given statement and diagram?
∠CED is a right angle.
∠CEA is a right angle.
m∠CEA = One-half(m∠CEB)
m∠CEB = m∠BEA
m∠DEB = 135°
m∠AEB = 35°
Answers
Answer:
angle ced is a right ange
so the m angels debate =135 m angle aeb =35
so the answer is 135+35 =170
180 is a all side sim
=180-170=10 answer
Answer:
∠CED is a right angle.
∠CEA is a right angle.
m∠CEB = m∠BEA
m∠DEB = 135°
How many two or three-digit numbers can you make using the digits 1, 7, 8, 5, and 2?
Answers
Answer:
the are so many numbers but here's one of them
Step-by-step explanation:
Since the number is less than 700, it cannot begin with a 7 or an 8.
So the hundreds digit can only be a 2 or a 5.
Now the tens digit can be any digit not occupying the hudreds digit. So there would be 3 possibilities, and there remain two possibilities for the units digit.
Hence, the number of such numbers is 2x3x2 which is 12.
The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 will be 150.
What is a sample?A sample is a group of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
The number of two-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,
⇒ 5 x 5
⇒ 25
The number of three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,
⇒ 5 x 5 x 3
⇒ 125
The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,
⇒ 125 + 25
⇒ 150
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Pedro is selling candy bars for his school baseball team each candy bar cost 1.25 and a box contains 20 bars
Answers
Answer:
$25
Step-by-step explanation:
You do 1.25. Y 20
A type of new car loses 20% of its value in its first year.
It loses 15% per year in every year after the first. Graham buys one of these new cars.
Work out the percentage of its value that it has lost after five years.
Give your answer to the nearest whole number.
Answers
Answer:63%
Step-by-step explanation:
if 2years=25%loss
Then 5years=5/2×25%
=62.5%~63%
Answer:
After a year, your car's value decreases to 81% of the initial value. After two years, your car's value decreases to 69% of the initial value. After 3 years, your car's value decreases to 58% of the initial value.
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The pie chart below shows how the annual budget for the Associated Manufacturers Company is divided by department. Use
this chart to answer the questions below.
(a) Which department accounts for approximately one-fourth of
the annual budget?
Select One
Sales
(b) Approximately what percentage of the annual budget is used
for Engineering and Support combined?
Research
Write your answer as a multiple of 10% - that is, 10%, 20%,
30%, ...
Marketing
Media
Engineering
(c) If 15% of the annual budget is used for Support,
approximately what percentage is used for Media?
O 2%
5%
O 33%
X
5
Support
45%
?
Answers
The departments that account for one-fourth of the annual budget are sales, engineering and research departments
The department that shows one-fourth of the annual budget?The pie chart that completes the question is added as an attachment.
From the attached image, we can see that each of the sales, engineering and research departments take 1/4 of the pie chart
Hence, the departments that account for one-fourth of the annual budget are sales, engineering and research departments
Annual budget of engineering and support combinedIn (a), we have:
Engineering = 1/4 or 25%
From the graph
Support = 1/8 or 12.5%
So, the combined percentage is:
Combined = 25% + 12.5%
Evaluate
Combined = 37.5%
Approximate
Combined = 40%
Annual budget of engineering and support combinedIn (a), we have:
Engineering = 1/4 or 25%
From the graph
Support = 1/8 or 15%
So, the combined percentage is:
Combined = 25% + 15%
Evaluate
Combined = 40%
Annual budget of mediaFrom the graph;
Media = 1/3 of support.
So, we have:
Media = 1/3 of 15%
Evaluate
Media = 5%
Hence, the annual budget of media is 5%
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which statement about 3 multiplied by 2/3 must be true?
Answers
Step-by-step explanation:
The statement is 3 multiplied by 2/3. Here, the first no of 3 and the other one is 2/3.
It can be written as follows :
\(3\times \dfrac{2}{3}\)
3 is present at the numerator as well as the denominator. It will cancel out.
So,
=2
So, 3 multiplied by 2/3 equals 2.
HELP !!!! when will someone -
Answers
Answer:
Step-by-step explanation:
a) (3,5)
b) 3 units
c) 10 units
Hope that helps!
Carl is making accessories for the soccer team. He uses 773.85 inches of fabric on headbands for 29 players and 4 coaches. He also uses 279.56 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answers
23.45 inches fabric was used on a headband and 9.64 inches fabric was used on a wristband for each player.
No. of players = 29
No. of coaches = 4
Total fabric used for headbands = 773.85 inches
Total no. of people for headbands = 29 + 4
= 33
Fabric used for headband for 1 person = 773.85/33
= 23.45 inches
Total fabric used for wristbands = 279.56 inches
Total no. of people for wristbands = 29
Fabric used for headband for 1 person = 279.56/29
= 9.64 inches
Hence, fabric for headband is 23.45 inches and for wristband is 9.64 inches.
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For the dashed graph, describe the key features.
Maxima or Minima?……..
Number of solutions:………..
Solution(s)?…………
The width is Wider? Or Narrower?
than the graph of f(x)? (solid).
Answers
The key features of the dashed graph are
Minima at (4, 3)No solution andWidth is narrower than graph of f(x)What is a graph?A graph is a pictorial representation of a function
To describe the key features of the dashed graph, we proceed as follows.
First, we notice that the dashed graph has a lowest point or vertex. This is at (4, 3). So, this is its minima at (4,3).Also, the dashed graph does not cut the x-axis, so, it has no solutionFinally, we can see that the dashed graph is narrower than the other undashed graphedSo, the key features of the dashed graph are
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-15 divided by -1 2/3
Answers
Answer:
9
Step-by-step explanation:
15 / 5/3 = 15 x 3/5=9
Because a negative numebr divided by a negative number is always positive.
Answer:
9
Step-by-step explanation:
ASAP!!!!!!!!!! List three figures that you have learned about estimating area
Answers
9. If set A is a subset of set B, and set B is a subset of set C. Is it true that set A is a subset
Explain why or why not?
Answers
Step-by-step explanation:
when B is a subset of C, it means that everything in B is also contained in C. C just contains more than that.
when A is a subset of B, it means in the same way that everything in A is also contained in B. since it is contained in B, it is also contained in C.
so, A is therefore also a subset of C.
find the exact value of the six trigonometric functions of 0
Answers
(0 is not the number zero I don't know what its called)
I have to find r first.
r=sqrt x^2+y^2
r=sqrt -5^2+-4^2
r=sqrt 41
sin=y/r
sin=-4/sqrt 41
cos=x/r
cos=-5/sqrt 41
tan=y/x
tan=-4/-5
csc=r/y
csc=sqrt 41/-4
sec=r/x
sec=sqrt 41/-5
cot=x/y
cot=-5/-4
Is 5p+5c and 5(p+c) equivalent?
Answers
Appease answer ill do anything please
Answers
Answer:
y=50x
Step-by-step explanation:
distance = 50 times the laps
100= 50 x 2
200 = 50 x 4
250= 50 x 5
400 = 50 x 8
Answer:
y=x+50
Step-by-step explanation:
15,20,15,30,25 median mean mode
Answers
Answer:
Median:20
mean:21
mode:15
Hello there! :)
To find the mean, we must add all the terms in the dataset and then divide by how many there are.
15+20+15+30+25=105
105÷5=21
So the mean is 21.
To find the median, we must find the number in the middle.
First, arrange the terms from least to greatest:
15, 15, 20, 25, 30
Now, we can see than 20 is the median.
To find the mode, we must find the number that is seen most often in the dataset.
15 is seen twice
20 is seen once
25 is seen once
30 is seen once
So 15 is the mode.
Therefore, the mean is 21, the median is 20 and the mode is 15.Hope this helps you!
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