Given:
[tex]f(1)=3,f(n)=2\times f(n-1)[/tex] ...(i)
For [tex]n\geq 2[/tex].
To find:
The nth term for the given recursive formula.
Solution:
The given recursive formula is of the form of
[tex]f(n)=r\times f(n-1)[/tex] ...(ii)
It is the recursive formula of a GP, where r is common ratio.
On comparing (i) and (ii), we get
[tex]r=2[/tex]
Now,
First term: [tex]a=f(1)=3[/tex]
Common difference: [tex]r=2[/tex]
nth term of a GP is
[tex]f(n)=ar^{n-1}[/tex]
Putting a=3 and r=2, we get
[tex]f(n)=3(2)^{n-1}[/tex]
Therefore, the equation for the nth term is [tex]f(n)=3(2)^{n-1}[/tex].
The following section is a statement from the rental agreement Tim signed when he rented his car this past
weekend.
"Upon checkout, the fuel level of the vehicle will be determined by turning the vehicle on and visually inspecting the
fuel gauge. The approximate fuel level will be recorded on the Check-Out sheet and verified with initials by the
vehicle Renter. One copy of the Check-Out sheet will be given to the customer. Another copy will be kept with the
on-site records of the vehicle.
The rented vehicle must be returned with a minimum fuel level the same as that indicated on the Check-Out sheet.
A vehicle returned with a fuel level less than the approximate level indicated on the Check-Out sheet will be
completely refueled with on-site pumps. The price of the fuel used to refuel the vehicle will be added to the
Renter's total charge at a cost of $4.50 per gallon plus a S5.00 re-fueling charge
As a part of the check-out process, it is customary for a car rental agency to look over the car with the customer and
fill out the Check-Out sheet together. As Tim was walking around the car looking for damages that he didn't want to
be held responsible for, the agency representative turned on the car, took note of the fuel level, and indicated it on
the Check-Out sheet. Since Tim didn't have any questions, the clerk handed him the keys and a copy of the Check-
Out sheet and wished him well.
Mark this and return
Save and Exit
Answer:
B
Step-by-step explanation:
Bc it is
The expression 2a+3b gives the cost (in dollars) for a shirts and b pairs of pants at a garage sale. A. The cost for 1 shirt is $ and the cost for 1 pair of pants is $ . B. The total cost for 5 shirts and 5 pairs of pants is $ . Question 2 c. Is $20 enough to buy 7 shirts and 2 pairs of pants?
Answer:
Step-by-step explanation:
If 2a+3b gives the cost (in dollars) for a shirts and b pairs of pants at a garage sale
a) To get cost for 1 shirt and the cost for 1 pair of pants, we will substitute a = 1 abd b = 2 into the expression given
Cost = 2(1) + 3(2)
Cost = 2 + 6
Cost = $8
Hence cost for 1 shirt and the cost for 1 pair of pants is $8
b) For the total cost for 5 shirts and 5 pairs of pants;
a = 5 and b= 5
Cost = 2(5)+3(5)
Cost = 10 + 15
Cost = $25
Hence the total cost for 5 shirts and 5 pairs of pants is $25
c) To check whether $20 will be enough to buy 7 shirts and 2 pairs of pants, we will substitute a = 7 and b = 2 into the expression;
Cost = 2(7)+3(2)
Cost = 14 + 6
Cost = $20
Hence $20 will be enough to buy 7 shirts and 2 pairs of pants
A student has some $5 bills and $10 bills in her wallet for a total of $100. The amount of $10 bills she has is 3 more than 3 times the amount of $5 bills. How many of each type of bills does she have?
Answer:
she has 6 $5 bills and 4 $10 bills I think I'm not sure
if you want brainliest answer correctly
A shoe store uses a 50% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $59?
Answer:
ummm
Step-by-step explanation:
Answer:
29.50
Step-by-step explanation:
how do I turn this into a radical?
write a statement that indicates that the triangles in each pair are congruent
-2/3a+5/6a-1/6 simplify
Answer:
[tex]\frac{1}{6} a-\frac{1}{6}[/tex]
Step-by-step explanation:
[tex]-\frac{2}{3} a+\frac{5}{6}a-\frac{1}{6}[/tex]
[tex]=-\frac{4}{6} a+\frac{5}{6}a -\frac{1}{6}[/tex]
[tex]= \frac{1}{6} a-\frac{1}{6}[/tex]
Answer:
[tex] \frac{( - 2)}{3} a + \frac{5}{6}a - \frac{1}{6} \\ = \frac{(- 4a) + 5a - 1}{6} = \frac{(a - 1)}{6} [/tex]
hope this helps.
Can someone please help me and show step by step plz so I understand it
Answer:
x=7
Step-by-step explanation:
This problem uses vertical angles! I'm sure you know this but just in case I will explain. Whenever there are two angles that are across from each other in a junction of two straight lines, they are perfectly equal! In this problem, the angles 6x-7 and 4x+7 are the same angle, so those equations have to have the same answer. In order to solve it, you need to write the equations like this:
6x-7=4x+7
From there you can solve for x. I will write my process here:
2x-7=7
2x=14
x=7
Just writing those vertical angle equations as equalities of each other should give you the answers you are looking for!
PLEASE HURRY WITH THIS
Answer:
Step-by-step explanation:
100.5 in ^2
Find the shortest distance from point A to the given line.
y = 3x +1 ; A (3,0)
What is the shortest distance from point A to the line?
Step-by-step explanation:
please i work on by paper worksheet, see it
how can i work it
Determine the intercepts of the line
Answer:
x - intercept: -1.2
y - intercept: -0.7
Which of the following graphs represents a relation that is not a function?
Answer:
Even though you only uploader one pic I think that is the answer
Because that is a Zero slope wich means it has no function that would be the anser
Step-by-step explanation:
Evaluate the step function for the given input values.
-4, -35 x < -1
-1, -1sx<2
g(x) =
3, 25x< 4
5, x 24
9(2) =
g(-2) =
g(5) =
Answer:
I would, but the way this is set up is VERY confusing. sorry. maybe try to fix it after copying and pasting to make sure it makes sense.
The evaluated values of the step function for the given input values are as g(-2) = -4, g(2) = 3, and g(5) = 5.
To evaluate the step function g(x) for the given input values, we need to follow the conditions specified for each interval.
Given the step function:
g(x) =
-4, x < -1
-1, -1 ≤ x < 2
3, 2 ≤ x < 4
5, x ≥ 4
Let's evaluate the step function for each input:
g(-2):
Since -2 is less than -1, the condition for the first interval is satisfied. Therefore, g(-2) = -4.
g(2):
Since 2 is less than or equal to 4, the condition for the second interval is satisfied. Therefore, g(2) = 3.
g(5):
Since 5 is greater than or equal to 4, the condition for the last interval is satisfied. Therefore, g(5) = 5.
Hence, we have:
g(-2) = -4
g(2) = 3
g(5) = 5
Learn more about the functions here:
brainly.com/question/12431044
#SPJ2
Which graph represents a system of equations with no solutions?
The last graph represents a system with no solutions. The solution to a system of equations is the point at which both lines intersect. Because the equations in the last graph don't intersect and are parallel, it has no solutions. Hope this helps :))
Answer:
last
Step-by-step explanation:
find the equation of straight line passing through the points (a,0) and (0,b). If the point (1,1) lies on the equation, prove that
1/a + 1/b =1
Answer:
do the following
Step-by-step explanation:
the question says that the line is passing thur the point 1,1 ... so when x = 1 so does y ... also when x= a.. then y=0 and when y=b then x =0 .. and this is a straight line... also 1/a + 1/b = 1
if you were to draw on a graph... this .. you would see that when b=2 then x=0 and also when a=2.. then y = 0 ....
and 1/2 + 1/2 =1
so that's the line.... draw in just roughly.... you'll see... then what is the equation of that line.. usually we would use the slope intercept formula for the equations.. there are more than one way to show the line.. is my point.. but.. if we use y = mx + b where m = -1 and b = 2 then...
y= - x+2
That answer got long.. sorry :/
Answer:
step by step
Step-by-step explanation:
Line passing (a,0) (0,b)
slope = (y2 - y1) / (x2 - x1) = - b/a
pass (0,b), y interception: b
Line: y = -b/a * x + b
pass(1,1) y=1, x=1
1 = -b/a + b
1/b = (-b/a) /b + b/b
1/b = -1/a + 1
1/a + 1/b = 1
Round this number to the nearest thousand
13,278
Answer:
13,000................
Answer:
13,000
Step-by-step explanation:
Its 13,000 because that 2 changes into a 3 but three isn't over 5.
How many natural numbers greater than 6 but less than 60 are relatively prime to 15?
Answer:
7,8,11,13,14,16,17,19,22,23,26,28,29,31,32,34....
Step-by-step explanation:
ANY NUMBERS that are NOT divisible by 5 or 3 basically
Hope it helps!
The chart shows how many people have signed up to go on a field trip each day. 62 students are allowed to go on the field trip. On
which day would you expect that number to be reached?
A)
8
B)
9
o
10
D
11
Answer:
c 10
Step-by-step explanation:
the number is increasing by 4. keep adding 4 until you reach 62, day 10
In a company's first year in operation, it made an annual profit of $277,000. The
profit of the company increased at a constant 18% per year each year. How much
total profit would the company make over the course of its first 5 years of operation,
to the nearest whole number?
Over the course of its first 5 years of operation, total profit the company would make is $633,709 .
What is a compound interest?"Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest."
Given, the annual profit of the company at first year = P =$277,000.
The rate of increase of profit = r% = 18% =0.18.
Total duration = n = 5.
Therefore, after first 5 years of operation, total profit the company would make = P[(1 + r)/100]ⁿ
= $277,000(1 + 0.18)⁵
=$633,708.9
≈$633,709
After 5 years , the total profit would have $633,709.
Learn more about compound interest here: https://brainly.com/question/17088238
#SPJ2
GO LOOK AT MY LAST QUESTION PLEASE!!
ITS VERY HARD!!!
wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink
What is the cost for 5 t-shirts that cost $10 with a sales tax of 6%?
$50
$3
$53
$56
Answer:
$53
Step-by-step explanation:
Hope this helped you!! Find 6% of 50 then add it to 50. Give brainliest
The ratio of boys to girls in a group is 7.1. If there are 54 more boys than girls, work out how
many boys there are,
Answer:
63 boys
Step-by-step explanation:
7 - 1 = 6
54 divided by 6 is 9
9 x 7 = 63
Answer:
63 boys
Step-by-step explanation:
7-1=6
6*9=54
Find the slope of the line that passes through each pair of points. A(2, 5) B(3, 1)
Brainliest question
Answer:
y=-4/1x-13
Step-by-step explanation:
5-1/2-3
5-1 ( 4)
2-3 (-1)
y=-4/1x+b
5=-4/1(2)+b
5=-8+b
b=-13
y=-4/1x-13
Hope this helped, have a Wonderful Day!!
HELP ME WITH THESE 5 QUESTIONS AND I¨LL CASHAPP YOU 55$ ANSWERS MUST BE ALL CORRECT PLZ AND THANK YOU:)
Answer:
What type of math is this
Step-by-step explanation:
algebra?
Check For Understanding
CELL PHONES A Cell phone company is going to build three new towers in a nearby city. The city council has
released s map that shows where the towers will be built. On the map, the distance between towers A and B is 2
centimeters, the distance between towers B and C 3 centimeters, and the distance between towers A and C is 4
centimeters. A technician needs to visit the stes of the three towers, and he has outlined his travel route between
them on a map. The polygon formed by his travel route on the map will be similar to the polygon formed by the
technicians he drives to the three towers. If the actual distance between tower Band tower C is 600 meters, how
for was the technican have to travel to visit all three cell phone towers?
Answer:
Distance between A ----> B : 2 cm
B ---> C: 3 cm : 600 meters
A----> C: 4 cm
3:600 meters scaled
So its 200 meters per every 1 cm!
From A to B : 400 meters
From B to C : 600 meters
Frok C to A: 800 meters
Therefore we sum 400+600+800= 1800 meters
Which ratio is equivalent to 2:3? A 8:12 B 9:10 C 10:9 D 12:8
Answer:
A 8:12
Step-by-step explanation:
If you multiply 2 and 3 by 4 you get 8:12
Answer:
The correct answer is A
Find the midpoint of segment PQ.
Answer:
[tex](2,0)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Find endpoints from graph.
Point P (-4, 6)
Point Q (8, -6)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint .
Substitute [MF]: [tex](\frac{-4+8}{2},\frac{6-6}{2})[/tex]Add/Subtract: [tex](\frac{4}{2},\frac{0}{2})[/tex]Divide: [tex](2,0)[/tex]On Monday Matty worked for 450 minuites in his office on Tuesday he worked half the numbers of minute he worked on Monday on wends day he worked only 1/2 day Wichita was 300 minute how many more minutes did he work on wensday then thursday
Answer:
The answer is 75 minutes.
Explanation :
Wednesday is 300 minutes & Tuesday is 225 minutes because 450 ÷ 2 = 225.
Wednesday is 300 minutes & Tuesday is 225 minutes because 450 ÷ 2 = 225. SO 300 - 225 = 75.
CAN YOU PLS GIVE ME BRAINLIST? THANK YOU! :))
Answer:
He worked for 75 more minutes on Wednesday then on Tuesday.
Step-by-step explanation:
So since we know that Matty worked for 450 minutes in his office on Monday, we can find out for how long he was working on Tuesday since we know that.......
Let "y" be the number of minutes Matty will work on Tuesday
Let "x" be the number of minutes Matty worked on Monday
[tex]y = \frac{x}{2}[/tex]
Substitute the values we have and get......
[tex]y = \frac{450}{2}[/tex]
[tex]y = 225[/tex]
So now we can find out how much more he worked on Wednesday then on Tuesday by doing the following......
Let "w" be the number of minutes Matty worked on Wednesday, then.......
The answer = [tex]w - y[/tex]
The answer = 300 - 225
The answer = 75
Which pair of operations are not inverses?
a. Taking the square root of a number and squaring
b. Addition and subtraction
c. Multiplication and division
d. Squaring and division