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."
According to a survey in one U.S. city, 53% of women between the ages and 25 of 35 are married, 45% are working full time, and 21% are married and working full time. If a woman between the ages of 25 and 35 is picked at random from the city, what is the probability that she is working full time or married but not both
Answer: 56%
Step-by-step explanation:
given data:
married women between 25 and 35 = 53%
working full time = 45%
married and working full time = 21%
Solution:
= 53% - 21%
= 32%
= 45% - 21%
= 24%
probability that she is working full time or married but not both
= 32% + 24%
= 56%
There are 125 people on a mountain trail. If 84% of the people on the trail are on a hiking tour, how many people are on the tour
Answer:
Total people on the tour will be: 105 people
Step-by-step explanation:
Total people on a mountain trail = 125Given that 84% of the people on the trail are on a hiking tour.
We need to determine how many people are on the tour.
All we need is to multiply 84% or 0.84 by 125.i.e.
People are on the tour = 84% × 125
= 84/100 × 125
= 0.84 × 125
= 105 people
Therefore, total people on the tour will be: 105 people
answer the following correctly
Answer:
[tex] y = -\frac{10}{3}x - 23 [/tex]
Step-by-step explanation:
Find slope (m) using of the line that passes through (-9, 7) and (-6, -3).
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 7}{-6 -(-9)} = \frac{-10}{3} = -\frac{10}{3} [/tex]
Find y-intercept (b) by substituting m = -10/3, x = -6, and y = -3 in y = mx + b.
Thus:
-3 = (-10/3)(-6) + b
-3 = 20 + b
Subtract 20 from each side
-23 = b
b = -23
substitute m = -10/3, and b = -23 in y = mx + b, to get the equation.
The equation of the line would be:
✅ [tex] y = -\frac{10}{3}x + (-23) [/tex]
[tex] y = -\frac{10}{3}x - 23 [/tex]
If f(x) -3x + 4 and g(x) =2, solve for the value of x for
which f(x)= g(x)is true.
Y=f(x)
g(x)
3
Answer:
28375683nxjs8737trxniu89oiec8n23783287 doo doo
Step-by-step explanation:
Quick question guys! This is a parallel right?! Please! It will only take 30 seconds to win 10 points!
Answer:
Step-by-step explanation:
30ab-10cg=20ac
Find the measure of one exterior angle of a regular octagon
Answer:
each of the eight angles measures 45 degrees
Step-by-step explanation:
The sum of all exterior angles of any polygon always measures 360 degrees.
If it's 'regular' then all angles have the same measures.
If it's an octagon, then it has 8 sides.
360 divided by 8 = 45
Find the mean, mode, median and the range.
-4, -10, 6, 11, -16, 8, -7, 8, 34, 6
Answer:
mean:4.4
median:8
mode:8 & 6
range;50
Step-by-step explanation:
mean=sum/total
mean= -4 + -10 + 6 + 11 + -16 + 8 + -7 + 8 + 34 + 6/10
mean= 4.4
mode=most occuring number
mode= 8 & 6
median: arrange the data in ascending or descending order
median:-16,-10,-7,-4,8,8,6,6,11,34: in ascending order
median:8+8/2
median :16/2
median: 8
Range: highest value- lowest value
range:34-(-16)
range:50
For c=d(3.14)
What is c when d=100?
(3x + 6) (5x +4)
I need help I don’t understand
[tex](3x + 6)(5x + 4) \\ [/tex]
[tex] = 3x(5x + 4) + 6(5x + 4)[/tex]
[tex] = 15 {x}^{2} + 12x + 30x + 24[/tex]
[tex] = 15 {x}^{2} + 42x + 24[/tex]
2 Vishal is training for a race. His goal is to run 5.5 miles over three days. The distances he ran each day are shown in the table.
Answer:
Which table?
Step-by-step explanation:
Answer:
I know this is old but here is the answer bc I had this test
Step-by-step explanation:
1. he ran 5.478 in total
2. he ran 0.022 more than his goal.
Vishal ran a total of 5.478 miles. The distance he ran over the three days is greater than his goal by 0.022 miles.
help i give brainliest
Answer:
y = 11-x
y = 2x-1
Step-by-step explanation:
Let x and y be the two numbers
x+y = 11
y = 2x-1
Solving the first equation for y
y = 11-x
Answer:
Im their friend so i'ma just take the pts (cuz i need them)
Step-by-step explanation:
Thx
what is the answer please
Answer:
X=20
Step-by-step explanation:
I think
I think i got the answer but a second opinion would be greatly appreciated!
Answer:
Your answer would be B: 30 ft squared
Step-by-step explanation:
Find the area of the circle: 5.5 (radius) multiply it by itself then multiply that by 3.14 which gets you 94.985. Now find the area of the square which is 8*8 = 64. Subtract 64 from 94.985 and your answer will be 30.985. The questions asks for the approximate (estimate), so the closest one would be 30 ft squared
Triangles ABC and FED are congruent right triangles. Find the length of FE. 8 m 6 m
Find the slope of the line? (0,0) (1,-3)
Answer:
1/-3
Step-by-step explanation: hope this helps
btw can have brainliest?
Answer:
-3/1
Step-by-step explanation:
y2-y1 -3 - 0 -3
x2-x1 1 - 0 1
so do yall know this?
Answer:
Length: meter
Mass: Kilogram
Volume of a solid: Cubic meter
Volume of a liquid: Liters
Temperature: Degree Celsius
Time: second
The formula for calculating density:
[tex]p = \frac{m}{v} [/tex]
Answer:
Look below! Have a wonderful day! Happy Holidays! :) Hope I helped!
I believe the formula of calculating Density is
p = m/v
Length is Meter
Mass is Kilogram
Volume of a Solid is Cubic Meter
Vloume of a Liquid is Liters
Temperature Degree Celsius
Time is Second
Lisa received 34 text messages on Monday and 43 text messages on Tuesday. She received 98 text messages on Wednesday. How many more text messages did Lisa receive on Wednesday than on Monday and Tuesday combined?
Answer:
she received 21 more
Step-by-step explanation:
43 + 34 =77
98-77= 21
Hope this helps!!!
Victoria invests $200 into an account with a 2.6% interest rate that is compounded semiannually. How much money will she have in this account if she keeps it for 10 years? Round your answer to the nearest dollar. Provide your answer below: The graph of the function f(2) - log,() is stretched vertically by a factor of 6, shifted to the right by 3 units, and shifted up by 5 units. Which of the answer choices gives the equation of the function g(2) described above? Select the correct answer below:
g(x) = -6log(x + 3) - 5
g(x) = -6log(x + 5) +3
g(x) = 6 log (x + 3) +5
g(x) = 6 log (x - 3) +5
g(x) = 6 log2(x – 3) - 5
g(x) = -6 log2(x - 5) +3
Answer:
1. Victoria will have in this account the sum of $258.95 after 10 years.
2. The answer choice that gives the equation of the function g(2) described above is:
g(x) = 6 log (x + 3) +5
Step-by-step explanation:
a) Data and Calculations:
FV (Future Value) $258.95
PV (Present Value) $200.00
N (Number of Periods) 20.000
I/Y (Interest Rate) 1.300%
PMT (Periodic Payment) $0.00
Starting Investment $200.00
Total Principal $200.00
Total Interest $58.95
how do I find the percentage of filled seats verus non filled seats for a class
Answer:
since i dont have data this is the best i can do
Step-by-step explanation:
non-filled seats diveded by total number of seats, everything multilped by 100 gives you percentage of non-filled seats.
Filled seats diveded by total number of seats, everything multilped by 100 gives you percentage of filled seats.
total should add up to 100
A car traveled from Indianapolis, Indiana to Miami, Florida at an average rate of 70 miles per hour. The distance was 1,203 miles. About how long did the trip take?Immersive Reader
(1 Point)
About 17 hours
About 22 hours
About 24 hours
About 32 hours
Answer: About 17 hours
Step-by-step explanation:
1,203/70=17.18571429
17.18571429 is about 17 hours
Write equations for the vertical and horizontal lines passing through the point (0, -3).
Answer:
Vertical line will be x=0, and horizontal line will be y=-3
Step-by-step explanation:
Draw a vertical line through point (0,-3). You will see it's on the y-axis. The equation of the line on y-axis is always x=0, because no matter what point you choose on the line, the x coordinate will be 0. (0,-3), (0, -2), etc.
Next draw a horizontal line through (0,-3). It's parallel to the x axis, and no matter what point on the line you choose, the y coordinate will be -3. (0,-3), (1, -3), etc
The equation for the vertical line is x=8 and the horizontal line is y=−7.
The given coordinate point is (0, -3).
What are the vertical and horizontal lines?A vertical line is a line, parallel to the y-axis and goes straight, up and down, in a coordinate plane. Whereas the horizontal line is parallel to the x-axis and goes straight, left and right.
Now,
For a vertical line the value of x, in this case, 8, will never change. This will be true for any value of y. Therefore the equation for a vertical line passing through this point is: x=8
Likewise, for a horizontal line the value of y, in this case, −7, will never change. This will be true for any value of x. Therefore the equation for a horizontal line passing through this point is: y=−7
Therefore, the equation for the vertical line is x=8 and the horizontal line is y=−7.
To learn more about the vertical and horizontal lines visit:
https://brainly.com/question/15455625.
#SPJ2
a. Find the slant asymptote of the graph of the rational function.
b. Follow the seven-step strategy and use the slant asymptote to graph the rational function.
a. Select the correct choice below and, if necessary, fill in the answer box to complete the choice.
A.
The equation of the slant asymptote is
nothing.
(Type an equation.)
B.
There is no slant asymptote.
Click to select and enter your answer(s) and then click Check Answer.
Answer:
BROOO I LITERALLY HAD A WHOLE LOOOONG ANSWER AND SOME STU PID MOD CAME AND DELETED IT AND I DONT REMEMBER WHAT I PUT
Step-by-step explanation:
Answer:
a. 1/3x+6
Step-by-step explanation:
the equation of three lines
how do i make brianliest
when u ask your question you need 2 answers to mark branilest because one of them is the brainlest there is a crown next to the someones answer (near the report button) to your question and u just pick one in order to do this u have to make sure you have 2 answers not 1 ;D
i hope this answered your question :)
Please help fast!!!! Find the seventh term of the geometric sequence if a1=7 and r=3
Answer:
15309 Im pretty sure
Step-by-step explanation:
a7=ar^7
=7(3^7)
7 x 2187=15309
What is the slope of a line represented by 3x-14y=28
Answer:
3/14
Step-by-step explanation:
3x-14y=28
solve
add -3 both sides
3x−14y+−3x=28+−3x
−14y=−3x+28
divide both sides by -14
y= 3 /14 x−2
y=mx+b
so 3/14 is the slope
When a fair 6 sided dice is rolled, what is the probability that is will land on the five?
Answer:
1/6
Step-by-step explanation:
Only one of the six sides is a 5 on the die. So there is a 1/6 chance that it will land on it
what does x equal?
4x+7=31
Answer:
x = 6
Step-by-step explanation:
First, subtract 7 from both sides to get x alone. That will give you 4x = 24 .
Then divide both sides by 4 to remove the coefficient of x. That means x = 6.
4x+7=31
-7 -7
4x=24
÷4 ÷4
x = 6
Over which of the given intervals does g have an average rate of change of zero?
Choose 1 answer:
3<3<9
B
2 <3 <4
-9 <<-5
D
--2 <<3
Answer:
I think is c 2 hope that works
Step-by-step explanation:
please give brainliest :D
What is negative 3/8 + 1/6
Answer:
-3/8 + 1/6 = -5/24
Step-by-step explanation:
The answer is -5/24 because -3/8 and 1/6 with a common denominator is -9/24 + 4/24 and this equals -5/24.
P.S Can I have brainliest?