Answer:
So...
a0 = -2
a1 = (a0)2 - 4 = 4 - 4 = 0
a2 = (a1)2 - 4 = ((a0)2-4)2 - 4 =...= 02 - 4 = -4
For an+1, you may use the previous term (an) if you have just calculated it, rather than calculating it recursively again
a3 = (-4)2 - 4 = 12
The first four terms in the sequence are -2, 0, -4, 12.
Step-by-step explanation:
This recursive sequence is defined as follows:
a0 = -2 [the first term]
an+1 = an2 - 4 [for all other terms, n≥0; note that you cannot find a0 using this line]
Note that this is not "BASE" for a number base, but it is "SUB" for subscript, indicating the term. Sometimes, sequences are written with the first term being a1 and sometimes sequences are written with the first term being a0. This is because there are situations that make one or the other more convenient (for example, starting with elapsed time t=0 makes sense).
To find the value of later terms, a recursive definition requires that you find the value of the previous term, which requires that you find the value of the previous term, which requires that you find the value of the previous term, which requires that you find the value of the previous term, ... which requires that use the value of the first term.
That's why (joke) that the dictionary definition of "recursive" is "see recursive."
The sixth-grade chorus has a boy-to-girl ratio of 3:8. Which of the following ratios is equivalent to this ratio?
help plzzz due in 15 min i have moe questions left
What are the answers? Also, an equivalent ratio would be multiplying/dividing both the 3 and the 8 by the same number
Ms. Thorson bought a board that was 14 feet long. She cuts off as many pieces as possible that are 9 inches long. What is the length, in inches, of the board that remains?
Question:
Ms. Thorson bought a board that was 14 feet long. She cuts off as many pieces as possible that are 9 inches long. What is the length, in inches, of the board that remains?
Answer: 6 inches
Step-by-step explanation:
So we know that 14 ft. Is 168 in. all we have to do now is divide.
9/168=18R6
Number of 9 inch pieces possible is 18.
What is division?The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers
Given,
length of the board = 14 feet
1 feet = 12 inches
14 feet = 168 inches
Length of the piece = 9 feet
Number of pieces cut from board
= 168/9
= 18.67
Number of 9inch pieces = 18
Hence, 18 is the number of pieces that are 9 inches long.
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If we find that the null hypothesis, Upper H Subscript 0 Baseline colon beta Subscript j Baseline equals 0, cannot be rejected when testing the contribution of an individual regressor variable to the model, we usually should:___________
Answer:
Remove the variable from the Model
Step-by-step explanation:
Normally, when considering which variable to keep and which one to drop when considering testing of the contribution of an individual regressor variable to the model, generally speaking we use one explanatory variable for between 10-15 observations.
Now, before we run our regression, we would need to run correlation analysis between all explanatory variables to detect if there's any multicollinearity, and also between the dependent variable and the regressors in order to determine the most important predictors to be included in the regression.
So after the analysis, for the null hypothesis not to be rejected, we will remove the variable from the Model.
Which point is a solution to this system of inequalities?
y 6
A) (7,-8)
B) (2,-3)
C) (5,-2)
D) (4,1)
Answer:
h
Step-by-step explanation:
Answer:
the answer is c
Step-by-step explanation:
Translation: In your notebook, do the operations and answer each of the cases, mark with an arrow the shortest way to get to the treasure following the clues whose result is even.
Please help!
Step-by-step explanation:
Solo te puedo dar respuestas para algunas (lo siento) Los puse en orden, cuadros izquierdos a derechos, de los que no contestaste
3,200,000 -> 3.2x10^6 notacion cientifica
4 x 3 + 9 - 7 = 14
356 / 2 = 178
12^4/12^3 = 12
1448 / 8 = 181
78923 x 13 = 1,025,999
Segundos de 17 minutos es 60 x 17 = 1,020
10^-5 = 0.00001
3^3 = 3 x 3 x 3 = 27
3,561,201 - 104, 308 = 3,456,893
6^3 x 6^ 4 = 279, 936
Siglo actual = siglo 21
Which expression is equal to 2xx−2−x+3x+5?
Answer:
It's the fourth one
Following are the solution to the given expression:
Given:
[tex]\bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}[/tex]
To find:
Expression =?
Solution:
[tex]\to \bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}\\\\\to \bold{\frac{2x(x+5) -(x+3) (x-2)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 -2x+ 3x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 +x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -x^2 -x+6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{x^2+9x+6}{(x-2)(x+5)}}\\\\[/tex]
Therefore, the answer is "last choice".
Learn more:
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A contestant in a weight-loss competition wants to lose an average of at least 8 pounds per month during a five-month period. Based on the progress report, how many pounds must the contestant lose in the fifth month to meet the goal?
Answer:
Can you import the progress report picture please
Step-by-step explanation:
So we can solve it
What is the slope of the line that passes through the given points?
(-12,-4) and (11,-10)
Answer:
Y2-y1
X2-×1 = m
-12-(-10)
11-5 = -2/3
m= -2/3
Step-by-step explanation:
what are the factors of x^2-8x-20
Answer:
(x+2)(x−10)
Step-by-step explanation:
x^2-8x-20
Factoring means something like this:
(x+_)(x+_)
Add together to get -8
Multiply together to get -20
think of the two numbers
Try 2 and -10:
2+-10 = -8
2*-10 = -20
Fill in the blanks of with 2 and -10 to get
(x+_)(x+_) = (x+2)(x−10)
I hope it's right!
What is the value of the expression when a = 4, b = 3 , and c = 10?
3a4b−c
a 1
b 4
c 6
d 12
Answer:
3a4b-c
3(4)4(3)-10
12(12)-10
144-10
=134
Step-by-step explanation:
Answer:
134
Step-by-step explanation:
3×4=12
4×3=12
12×12=144
144-10=134
thats what I got
hope it helps
Identify the radius of the circle.
Help ASAP pls!!!
*its hw*!
Need help :) plss will mark brainliest
Answer:
C
Step-by-step explanation:
Determine the equation of the line passing through the point below having the corresponding
slope.
Point: ( - 25, -9)
Slope: m=1/5
Write your answer as an equation in the form
y = mx + b
Answer:
y=1/5x-4
Step-by-step explanation:
So, first we're gonna put this into point slope form, (y-y1)=m(x-x1), then we'll convert it. When you plug the numbers in, you get (y+9)=1/5(x+25)
Then, you simplify!
y= 1/5(x+25)-9
y=1/5x+5-9
y=1/5x-4
Hope this helped!
Please helpp I’ll give brainleist
Answer:
87 for lo and om is 56
Step-by-step explanation:
Answer:
<LON= 98 Degrees
Step-by-step explanation:
180-55(2)=70
70+28=98
I need an equation for this algebra problem
Answer:
2.5 hours
Step-by-step explanation:
Given
The information in the attachment
To solve this question, first we calculate the slope
[tex](t_1,B_1) = (1,19,5\%)[/tex]
[tex](t_2,B_2) = (2,13\%)[/tex]
The slope is:
[tex]m = \frac{B_2 - B_1}{t_2 - t_1}[/tex]
[tex]m = \frac{13\% - 19.5\%}{2-1}[/tex]
[tex]m = \frac{-0.065}{1}[/tex]
[tex]m = -0.065}[/tex]
The equation is calculated as:
[tex]B - b_3 = m(t - t_3)[/tex]
Where
[tex]m = -0.065}[/tex]
[tex](t_3,B_3) = (3,6.5\%)[/tex]
This gives
[tex]B - 6.5\% = -0.065(t - 3)[/tex]
[tex]B - 6.5\% = -0.065t +0.195[/tex]
[tex]B -0.065 = -0.065t +0.195[/tex]
[tex]B = -0.065t +0.195 +0.065[/tex]
[tex]B = -0.065t +0.26[/tex]
To calculate the time at 9.75%.
We take B = 9.75%
So, we have:
[tex]9.75\% = -0.065t +0.26[/tex]
Solve for t
[tex]0.0975= -0.065t +0.26[/tex]
Collect Like Terms
[tex]0.065t= -0.0975 +0.26[/tex]
[tex]0.065t= 01625[/tex]
[tex]t = 0.1625/0.065[/tex]
[tex]t = 2.5[/tex]
Hence, it will take 2.5 hours.
MCQ (100)
Q32. If tan(t) =13, then cot(-t) = ?
A solution contains 11 pints of antifreeze and seven pints of water . How many pints Of water must be added to 77 pints Of antifreeze to get a solution with the same concentration.
Please help me with question I don’t get it.
Answer:
49 pints of water
Step-by-step explanation:
that's the answer to the question
Answer: 49 pints
Step-by-step explanation: if they had 11pints of the anti freeze. And they multiplied it by 7 to get to 77! Therefore you take the multiplier that they used which was 7 and us it to the 7 pints. So then you will be multiplying 7x7 which would be 49.
WILL MARK BRAINLIEST PLS HELP
choose all of the points that are solutions to the equation y = x2 - 3x - 4
-4,0
-1, 0
0, -4
1, -6
1, 0
3, -7
pls
Answer:
-1,0
0,-4
1,-6
Step-by-step explanation:
plug in the first number into x and it gets you the second number
(-1, 0), (0, -4), (1, -6) points are solutions of the given quadratic equation.
What is a quadratic equation?A quadratic equation is an equation where the variable has the highest power of 2.
Given equation is y = x² - 3x - 4
1. For (-4, 0), L.H.S = 0, R.HS = (- 4)² - 3(- 4) - 4 = 24.
Hence, (-4, 0) is not a solution of the given equation.
2. For (-1, 0), L.H.S = 0, R.HS = (- 1)² - 3(- 1) - 4 = 0.
Hence, (-1, 0) is a solution of the given equation.
3. For (0, -4), L.H.S = -4, R.HS = (0)² - 3( 0) - 4 = - 4
Hence, (0, -4) is a solution of the given equation.
4. For (1, -6), L.H.S = -6, R.HS = (1)² - 3(1) - 4 = -6.
Hence, (1, -6) is a solution of the given equation.
5. For (1, 0), L.H.S = 0, R.HS = (1)² - 3(1) - 4 = -6.
Hence, (1, 0) is not a solution of the given equation.
6. For (3, -7), L.H.S = -7, R.HS = (3)² - 3(3) - 4 = -4.
Hence, (3, -7) is not a solution of the given equation.
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There are 30.48 centimeters in 1 foot. About many feet are equivalent to 500 centimeters?
Answer:
16.4 feet, so about 16 feet.
Step-by-step explanation:
500 / 30.48 = 16.4
1. A business records its net profits for the week by subtracting the operating costs from the revenue. The function P(x) = (140x) – (30x + 1200) represents the profits for one week, where x is the number of products sold. Which statement is true?
a) The slope of the function is 110, and it represents the change in net profit per product sold.
b) The slope of the function is 140, and it represents the initial operating costs of the business
c) The slope of the function is 110, and it represents the initial operating costs of the business.
d) The slope of the function is 140, and it represents the change in net profit per product sold.
Doe has 2 3/8 pounds of hamburger meat. He is making 1/4 pound hamburgers .Does doe have enough meat to make 10 hamburgers
Find the diagonal of the box using the Pythagorean Theorem.
PLS HELP ASAP 50 POINTS PLEASE HELP ASAP PLEASEEE!!!! I NEED HELP ASAP
(Image Linked)
Answer:
26 cm
Step-by-step explanation:
Diagonal of the box using Pythagorean Theorem can be calculated using the formula:
a² + b² + c² = d²
Where,
d = diagonal of the box = ??
a = length = 24 cm
b = width = 8 cm
c = height = 6 cm
Plug in the value into the formula
24² + 8² + 6² = d²
576 + 64 + 36 = d²
676 = d²
√676 = d
d = 26 cm
A store is offering a discount on shorts of 23.4%.The original price of the shirt is $13.24.how much will you have to pay the clerk
Answer:
Step-by-step explanation:
Hi
Answer:
13.24
Step-by-step explanation:
Your buying a shirt not shorts
Seth has 2 ¾ candy bars to give away. If he gives each person ⅛ of a candy bar, how many people will get candy?
Answer:
22 people
Step-by-step explanation:
Change 2 3/4 into a fraction, 11/4.
Then divide by 1/8
11/4 x 8/1 = 22
What is the value of x in the equation 2 (6 x + 4) minus 6 + 2 x = 3 (4 x + 3) + 1?
1
3
4
6
Answer:
x=4
Step-by-step explanation:
I did the edge quiz pretty sure I got it correct
Answer:
x=4
Step-by-step explanation:
Is each expression equivalent to 6 * 53? Justify your reasoning.
a. 6 * 50 + 6* 3
b. 10 * 53 -4 53
c. 6 50 + 3
d. 6 * (50 + 3)
Answer:
a, b, d. Yes c. NoStep-by-step explanation:
a. 6 * 50 + 6* 3 = 6* ( 50 + 3) = 6* 53
Yesb. 10 * 53 -4*53 = (10 - 4)*53 = 6*53
Yesc. 6 * 50 + 3 = 303
Nod. 6 * (50 + 3) = 6*53
YesAnswer:
A, B, D = Yes
C = No
6 * 50 + 6* 3 = 6* ( 50 + 3) = 6* 53
10 * 53 -4*53 = (10 - 4)*53 = 6*53
6 * 50 + 3 = 303
6 * (50 + 3) = 6*53
2x + 2y = 4 -x+ 2y = 4
Answer:
x = 0, y = 2
Step-by-step explanation:
We can use substitution method to substitute 2y into 2x + 2y = 4.
-x + 2y = 4
2y = 4 + x --- Equation 1
2x + 2y = 4 --- Equation 2
Substitute Equation 1 into Equation 2:
2x + 2y = 4
2x + 4 + x = 4
3x + 4 = 4
Isolate 3x.
3x = 4-4
= 0
Find x.
x = 0 ÷ 3
x = 0
Substitute x = 0 into Equation 1:
2y = 4 + x
2y = 4 + 0
= 4
Find y.
y = 4 ÷ 2
y = 2
Lamar uses his credit card to purchase a new video game system for $375.19. He can pay off up to $175 per month. The card has an annual
rate of 19.2% compounded monthly. How much total interest will he pay?
Answer:
B
Step-by-step explanation: He will make two payments on the game system and then u divide the 175 with the 19.2 and that will give u the answer
Robert is collecting books to donate to the library.
The number of books he collects, nn, is defined by n=14d+21 where d is the number
of days he spends collecting books.
What does 14 represent in the context of Robert's book collecting?
A represents the number of books per day that are collected.
B represents the number of books per week that are collected.
C represents the number of books per month that are collected.
D represents the number of books per year that are collected.
Number 6 btw
The answer is c because it makes sense that it would be months.
Answer:
is A because basically in my EXAM is just have the first option
A group of students organized a car wash to raise money for a local charity. The students charged $5.00 for each car they washed. In 3 hours, they washed 12 cars. At that rate, how much money could they earn from washing cars for eight hours?A grocery store sells a bag of 5 lemons for $2.00. What is the unit cost of each lemon in the bag?
Answer:
$160 0.4/lemon
Step-by-step explanation:
5 per car wash
12 cars in 3 hours
4 cars per hour times 8= 32 cars in 8 hours
32 times 5= 160
5 lemons for 2.00
Unit cost= 0.4 per lemon
