f(1)=-12, f(n)=2f(n-1)
find first 4 terms
============================================
Explanation:
The notation f(1) = -12 tells us that the first term is -12.
The equation f(n) = 2*f(n-1) indicates that we're multiplying the (n-1)th term by 2 to get the nth term. Basically we multiply each term by 2 to get the next term.
-12*2 = -24
-24*2 = -48
-48*2 = -96
So the first four terms are -12, -24, -48, -96.
-----------------------------------
Alternative Approach
f(1) = -12 .... first term
f(n) = 2*f(n-1) ... nth term recursive formula
f(2) = 2*f(2-1) ... plug in n = 2
f(2) = 2*f(1)
f(2) = 2*(-12) ... plug in f(1) = -12
f(2) = -24 ... second term
f(n) = 2*f(n-1) .... resetting for the next computation
f(3) = 2*f(3-1) ... plug in n = 3
f(3) = 2*f(2)
f(3) = 2*(-24) ... plug in f(2) = -24
f(3) = -48 .... third term
f(n) = 2*f(n-1) ... one more reset
f(4) = 2*f(4-1) .... plug in n = 4
f(4) = 2*f(3)
f(4) = 2*(-48) ... plug in f(3) = -48
f(4) = -96 ... fourth term
We get the first four terms to be -12, -24, -48, -96, which was the same as earlier.
Select all of the trips that would take 2 hours.
1.Drive 60 miles per hour between Buffalo and Seneca Falls, which are 120 miles apart.
2.Walk 3 miles per hour to school, which is 1.5 miles away.
3.Take a train going 80 miles per hour from Albany to New York City
Answer:
#1 and #3
Step-by-step explanation:
if you divide the total distance between them you will get 60 for #1 and 80 for #3 if you multiply them both by 2 you get the total amount of miles for 2 hours
Answer:
1 and 3
Step-by-step explanation:
120 divided by 60=2
160 divided by 8=2
hopes this helps!! have a nice day!!
write an equation for the line that passes through (4,10) and is perpendicular to the line 6x-3y=5
Answer:
[tex]y = - \frac{ 5}{3} x + ( - \frac{5}{3} )[/tex]
Step-by-step explanation:
-3y=5-6x
y=5-6x÷(-3)
y=(-5/3)+2x
y=2x-(5/3)
At y-intercept x is 0 and y is -(5/3)
Gradient m=10-(-5/3)÷(4-0)
=35/12
y=mx+c
10=(35/12)4+c
c=-(5/3)
Answer:
y = [tex]-\frac{1}{2}[/tex]x + 12
Step-by-step explanation:
Given expressions:
Coordinates = (4,10)
Equation of the line; 6x - 3y = 5
Unknown:
Equation of the line perpendicular = ?
Solution:
A line perpendicular to the given one will have a negative inverse slope.
Equation of any given line is expressed as:
y = mx + c
y and x are the coordinates
m is the slope
c is the intercept
Now; re-write 6x-3y = 5 in the form y= mx + c and find the slope;
6x - 3y = 5
-3y = 5- 6x
y = [tex]-\frac{5}{3}[/tex] + 2x
The slope of a perpendicular line will be [tex]-\frac{1}{2}[/tex]
Also, let us find the y-intercept, c;
y = mx + c
10 = [tex]-\frac{1}{2}[/tex] x 4 + c
10 = -2 + c
c = 12
The equation of the new line is ;
y = [tex]-\frac{1}{2}[/tex]x + 12
PLEASE HELP MEEEE!!!!! Marcos had 15 coins in nickels and quarters total amount of those coins is $2.25. How many quarters and dimes he has?
Answer:
try 15 / 2.25
Step-by-step explanation:
How many ways are there to arrange the letters in AIRBAGS?
There are 49 ways to arrange the letters (if they aren't words)
Find the quotient of 394/6
Answer:
65
Step-by-step explanation:
394/6
When 394 divided by 6 then
we get 65 quotient and 4 remainder
Solve the equation using the distributive property and properties of equality.
Negative 5 (a + 3) = negative 55
What is the value of a?
Answer:
6
Step-by-step explanation:
-5(a+3)=-55
-5a-15=-55
+15 +15
-5a=-40
/-5 /-5
a=6
Answer:
A = 8
Step-by-step explanation:
-5(a+3)=-55
-5a-15=-55
-5a=-40
-40/-5=8
a=8
Please help i don’t really understand it
Answer:
vvvvvvvvvv
Step-by-step explanation:
~ Is a sign for similarity. This essentially means you can do rigid transformations to a shape to get the exact shape of another. You would need proportional sides and congruent angles for this to work. The shapes are not proportional so it is not similar.
100 POINTS ANSWER QUICK
Answer:
B. 20 kilometers
Step-by-step explanation:
I just added all of the "cm" and got 20 kilometers so yeahh im quite positive it is correct!
Answer:
B
Step-by-step explanation:
Which man made object is likely to endure long after humans have disappeared from New York city?
A. Ceilings
B. Sewer systems
C. Steel l-beams
D. Bronze sculptures
Bronze sculptures endure long after humans have disappeared from New York city.
What is Man made objects?Human-made materials are those that humans have manufactured. Such examples are rubber, paper, plastic, furniture, and clothing. Artificial satellites are man-made. They take off from the Earth.
As, Bronze is an extremely robust substance that can withstand many circumstances that softer metals cannot.
Utilizing this metal for art pieces is fantastic because it requires no maintenance and upkeep and can survive for hundreds of years, enhancing its worth even further.
Also, Bronze is last long than Steel.
Thus, Bronze sculptures endure long after humans have disappeared from New York city.
Learn more about Man made objects here:
https://brainly.com/question/14463482
#SPJ7
Find the Unit Rate: If 10 30.5 oz containers cost $70 how much does one container cost?
Answer:
$7
Step-by-step explanation:
70 / 10 = 7
Answer: $7.00
One container would cost $7 because if you can buy 10 for $70 you would have to solve
[tex]\frac{70}{10}[/tex]
Which equals $7.00
Please mark brainliest if correct :)
A rectangle has a perimeter of 186 kilometres and a height of 37 kilometres. What is the
length of the base?
Answer:
Step-by-step explanation:
Perimeter of rectangle=2(height+base)
Given perimeter=186km
Height=37 km
So 186=2(37+base)
93=37+base
Base=93-37=56 km
Identify a pair of Alternate Exterior Angles
Answer:
Angles 6 and 3. Hopefully this helps.
Y=2× Y=×+1
A: (2/3, 1/3)
B: (1,2)
C: (2,1)
D: (1/3, 2/3)
Answer:
The answer is B: (1,2)
Step-by-step explanation:
(solved using elimination method)
-2x+y=0
y=x+1
-x+y=1
-2x+y=0
x+y=-1
-x=-1
x=1
-1+y=1
y=2
(x,y)=(1,2)
find the length of the third side to the nearest tenth
Answer:
6.9
Step-by-step explanation
Use the Pythagorean Theorem
a^2+b^2=c^2
a^2=c^2-b^2
a^2=64-16
a^2=Sqr rot of 48
6.92820323
6.9
Express in the form
1
:
n
Give
n
as a fully simplified fraction.
18
:
9
Answer:
Substitute n with the given value which is 18:9
Ratio(:)means fraction, so
1/18:9
To make it easier
1×9/18
Then multiply 1 and 9
9/18=1/2 which equals to 1:2
Step-by-step explanation:
I hope this helps, please give me brainliest
Answer:
1/2
Step-by-step explanation:
1:n
1/(18/9)
9/18
1/2
So 1/2 will be answer
Find two positive integers such that their sum is 10, and minimize and maximize the sum of their squares.
Two numbers whose sum is 10 is required.
The answer is
Minimum: 5, 5
Maximum: 9, 1
Let [tex]x[/tex] and [tex]y[/tex] be two numbers
[tex]x+y=10\\\Rightarrow y=10-x[/tex]
The sum of the squares would be
[tex]x^2+y^2=x^2+(10-x)^2\\ =2x^2-20x+100[/tex]
[tex]f(x)=2x^2-20x+100[/tex]
Differentiating with respect with x
[tex]f'(x)=4x-20[/tex]
Equating with zero
[tex]4x-20=0\\\Rightarrow x=\dfrac{20}{4}\\\Rightarrow x=5[/tex]
Double derivative of f(x)
[tex]f''(x)=4[/tex]
[tex]f''(x)>0[/tex]
So, at [tex]x = 5[/tex] the value of the function is minimum.
Therefore, at [tex]x=5[/tex] and [tex]y=10-5=5[/tex] the function has minimum value of [tex]5^2+5^2=50[/tex]
For the finding the maximum values of [tex]x[/tex] and [tex]y[/tex] we have to use trial and error method
[tex]9^2+1^2=82[/tex]
[tex]8^2+2^2=68[/tex]
[tex]7^2+3^2=58[/tex]
[tex]6^2+4^2=52[/tex]
0 and 10 will not be considered as 0 is neither positive nor negative.
So, the maximum value of the numbers is 9 and 1 and the maximum value of the function is 82.
Learn more:
https://brainly.com/question/1625850?referrer=searchResults
when a pendulum swings, at which point is potential energy highest?
Find the number of miles per hour in each of the following cases,
100 miles per hour 200 miles per hour 900 miles per hour
000 miles in 9 hours
9000 miles in 00 hours
100 miles in 5 hours
100 miles
100 miles
100 miles
100 miles 100 miles
100 miles ok?
HELP ME FOR BRAINLIEST
Answer:
4
Step-by-step explanation:
PEMDAS
Find the greatest common factor of 13m^2 and 8m.
Answer:
i think its 1
Step-by-step explanation:
HELP!
given that two triangles are similar, what is the measure of la
A) 20
B)35
C)55
D)90
Answer:
angle L is 35 degrees
angle A is 55 degrees
Step-by-step explanation:
angle L is congruent to angle C, and it is given that angle C is 35
angle A is congruent to angle N, and it is given that angle C is 55
what is the equation of the line that passes through (20, 500) and (16, 300)
hi there! here's my answer for you...
Answer:
y = 50x − 500
Explanation:
Use the slope formula and slope-intercept form y = mx + b to find the equation.
hope this helps. have a good one!
Determining a Value of an Expression
Evaluate the expression
12 = 3y + y2y = 4 ) for y=3
f
Step-by-step explanation:
1/1=56÷£×€×^×/÷/€×€÷£÷88÷
If the price of the early bird session is 2x - 3 and the price of the mid-morning session is 5x + 6, find an expression that represents difference in the price between the mid-morning session and the early bird session?
6 14:24
- 24
3. A bolt ras 15 tuzne per inch. How many turned on 24 intresse
threda
4. If a bosashelf is a inches long, hou wonyinch trackbacks will
holda
5. Deborah reeds to make 16 costumes for the school play. Each costume
regeres 2 yards of motora. Hemom
AABC is reflected over the x-axis. What will be the coordinates of C'?
4
А A
3
2
-2
B
-1
-2
-3
-4
Answer:
The answer to your question will be A
Step-by-step explanation:
AABC is reflected over the x-axis. What will be the coordinates of C'?
4
А A
3
2
-2
B
-1
-2
-3
-4
John wants to make a triangular garden. Which of the following are possible dimensions?
Answer: What are the choices? sorry I had to take up an answer, it wont let me exit out
Ms. Yost has 20 boxes of markers. She buys 420% more boxes. How many boxes will she have in all?
Answer:Ms. Yost has 20 boxes of markers. She buys 420% more boxes. How many boxes will she have in all?
Step-by-step explanation:
The required number of boxes of markers MS. Yost have is 104 boxes.
Given that,
Ms. Yost has 20 boxes of markers. She buys 420% more boxes. How many boxes will she have in all is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
According to the question,
Total number of boxes = 20 + 420% of 20
Total number of boxes = 20 + 4.20 * 20
Total number of boxes = 20 + 84
Total number of boxes = 104
Thus, the required number of boxes of markers MS. Yost have is 104 boxes.
Learn more about arithmetic here:
https://brainly.com/question/11559160
#SPJ6
Convert 171 from decimal to hexadecimal.
Answer:
AB should be the answer.
