Answer:
[tex]f(n) = 96 * 0.5^n[/tex]
Step-by-step explanation:
Given
[tex]f(3) = 12[/tex]
[tex]f(n) = 0.5 * f(n-1)[/tex]
Required
Write as an explicit function
When n = 3, we have:
[tex]f(3) = 12[/tex]
[tex]f(3) = 0.5 * f(3-1)[/tex]
[tex]f(3) = 0.5 * f(2)[/tex]
Substitute: [tex]f(3) = 12[/tex]
[tex]12 = 0.5 * f(2)[/tex]
Solve for f(2)
[tex]f(2) = 12/0.5[/tex]
[tex]f(2) = 24[/tex]
So, we have;
[tex]f(3) = 12[/tex]
[tex]f(2) = 24[/tex]
Since it is a geometric sequence, calculate the common ratio (r)
[tex]r = \frac{f(3)}{f(2)}[/tex]
[tex]r = \frac{12}{24}[/tex]
[tex]r = 0.5[/tex]
Calculate the first term using:
[tex]r = \frac{f(2)}{f(1)}[/tex]
Solve for f(1)
[tex]f(1) = \frac{f(2)}{r}[/tex]
[tex]f(1) = \frac{24}{0.5}[/tex]
[tex]f(1) = 48[/tex]
The explicit function is then calculated as:
[tex]f(n) = f(1) * r^{n-1[/tex] ----nth term of a gp
[tex]f(n) = 48 * 0.5^{n-1[/tex]
Split the exponent
[tex]f(n) = 48 * \frac{0.5^n}{0.5^1}[/tex]
[tex]f(n) = 48 * \frac{0.5^n}{0.5}[/tex]
[tex]f(n) = 96 * 0.5^n[/tex]
yes or no? help me out thank you so much whoever does:))
Answer:
Yes
Step-by-step explanation:
The bottom left corner is a right angle
How much would $125 invested at 8% interest compounded continuously be
worth after 16 years? Round your answer to the nearest cent.
A(t)= P*e^rt
Answer:
449.58
Step-by-step explanation:
125e^(0.08)(16)
use desmos scientific caclulator
Please help with these 2 range questions ❤
Answer:
10) 27
15) 18
Step-by-step explanation:
10)
Range = Max value - Min value
18 = x - 9
x = 27
15)
Range = Max value - Min value
32 = 50 - x
-x = 32 - 50
-x = -18
x = 18
Answer:
27 and 18
Step-by-step explanation:
The range is the difference between the largest and smallest numbers
(10)
Given range = 18 and smallest number is 9 then
largest number = 9 + 18 = 27
(15)
Given range = 32 and largest number is 50 , then
smallest number = 50 - 32 = 18
2. Let u = <4, 8>, v = <-2, 6>. Find u + v. (1 point)
Answer:
u+v = (4,8)+(-2,6)
=(4-2, 8+6)
=(2, 14)...This is the required answer.
Evaluate the function for an input value of 3. f(x)= −4x 2 −3x−5
Answer:
- 50
Step-by-step explanation:
x = 3
f ( x ) = - 4x^2 - 3x - 5
f ( 3 )
= - 4 ( 3 )^2 - 3 ( 3 ) - 5
= - 4 ( 9 ) - 3 ( 3 ) - 5
= - 36 - 9 - 5
= - 50
1) What is the value of x + 2 in this equation?
7(x + 2) = 77
2 + 2 =
which number lies half-way between 356 and 1025
HELP ME PLEASEEEE NO LINKS OR IMMA REPORT WORTH 15 POINTS
Answer choices are
1.The same or diffrent, diffrent
2. Corresponding angles, the complementary to a corresponding angle, The supplementary to a corresponding angle, The vertical angle to a corresponding angle, they are not corresponding in anyway
Answer: 1=same
Step-by-step explanation: because if you line them up they are all the same size
There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores were 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%. What was the median math score of the sophomores? 79% 82% 87% 92%
The median of the math scores is = 79%.
You can understand more about calculation of median of a set of numbers below.
Estimation of median scoresThe total number of sophomores is = 8
The percentage score of each sophomore = 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%.
To calculate the median of the percentage scores, arrange the scores in ascending order and pick the figure in the middle as the median math score.
72, 74, 76, 78, 80, 82, 92, 92
Here the median is two figures 78, and 80 which are located in the middle. The median is =>78 +80/2
= 158/2 = 79%
Therefore, the median of the math scores is = 79%
Learn more about median calculation here:
https://brainly.com/question/14532771
-----------------------
A. 79%
edge 2022 :)
------------------------
1,2,5 please I don’t really understand this lesson :(:/
AKA 1,2,5 only!
Answer:
Step-by-step explanation:
Volume of a triangular pyramid = [tex]\frac{1}{3}(\text{Area of the triangular base})(\text{Height})[/tex]
1). Volume of the pyramid = [tex]\frac{1}{3}(72)(15)[/tex]
= 360 cm³
2). Volume of the pyramid = [tex]\frac{1}{3}(\text{Area of the triangular base})(\text{Height})[/tex]
Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{height})[/tex]
= [tex]\frac{1}{2}(8)(5)[/tex]
= 20 cm²
Therefore, volume of the pyramid = [tex]\frac{1}{3}(20)(12)[/tex]
= 80 cm³
5). Volume of the cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]
Here, r = radius of the circular base
h = Height of the cone
Volume of the cone = [tex]\frac{1}{3}\pi (2)^2(4)[/tex]
= [tex]\frac{16\pi }{3}[/tex]
= 16.76 cm³
If Jeff is a manager at the local movie theatre, his annual salary is $46,000 and his company gives a 1.5% raise each year. What will be the total amount of money Jeff earns in 4 years assuming he gets the raise each year?
Answer:
59000
Step-by-step explanation: yep
Marsha deposited 7500 into a savings account 5 years ago. The simple interest rate is 3%. How much money did Marsha earn in interest
Answer: $1125
Step-by-step explanation: 7500 x 3%= 225 Then multiply 225 by the 5 years. You will then get 1125. Marsha earned $1,125 in interest.
I hoped this helped, have a great rest of your day!
Answer:
$1125
Step-by-step explanation:
plz crown
HELP ME PLEASE!! ILL MARK BRAINLIEST FOR THE FIRST TO AMSWER ! BUT THE ANSWER AS TI BE RELATED TO THE QUESTION CAUSE IF NOT I WOMT MARK U BRAINLIEST !
How many different 2-digit numbers can be formed from the digits 4, 6, and 8?
Answer:
12 two
24 and 42 represent one combination, but 2 permutations. Thus, the number of two-digit numbers that can be made with the digits 2, 4, 6, and 8 is: Therefore, 12 two-digit numbers can be made with the digits 2, 4, 6, and 8.
Step-by-step explanation:
please mark this answer as brainliest, leave a 5-start rating, and give a thanks
The number of 2-digit numbers can be formed from the digits 4, 6, and 8 is 18.
What is the Permutations?Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.
The given digits are 4, 6 and 8.
We know that, P(n, r)= n!/(n-r)!
Here, n=3 and r=2
Now, 3!/(3-2)!
= 3×2
= 6
Using C(n, r)= n!/r!(n-r)!
Now, 3!/2!(3-2)!
= 3
So, 6×3
= 18
Therefore, the number of 2-digit numbers can be formed from the digits 4, 6, and 8 is 18.
To learn more about the permutation visit:
https://brainly.com/question/3867157.
#SPJ6
Please help I’m so stressed over this ok here it is it cost $12.50 to enter an amusement park and $1.50 to play each game. Solve an inequality to find the number of games, g, Cole can play if he has $35 to spend at the park. Enter your answer in the box.
The plane has traveled 105 miles which is 45%of the distance it needs to go. How many miles is the total distance of the flight?
Answer: 162.75 miles
Step-by-step explanation: 100%-45%=55%
55%=.55
105 times .55= 57.75
105+57.75= 162.75
sorry but I'm not sure if its right because I haven't does one of these in a while
What is the value of x? NEDD HELP ASP
A x=15
B x=30
C x=37.5
D x=52.5
Answer:
The value of x is 15 .
Option (A) is correct.
Step-by-step explanation:
As given
∠1 and ∠2 are complementary.
i.e the sum of ∠1 and ∠2 is 90° .
Thus
∠1 + ∠2 = 90°
x° + (3x+30)° = 90°
x + 3x + 30 = 90
4x = 90-30
4x = 60
x = \frac{60}{4}x=
4
60
x = 15
Therefore the value of x is 15 .
Option (A) is correct.
Answer:
A. x=15
Step-by-step explanation:
To solve this problem, we can combine like terms.
3x + (1)x are like terms.
3x + (1)x = 4x.
Since 3x and (1)x are the only pair of like terms, we are done with this step.
Complementary angles have a sum of 90°.
4x + 30 = 90.
Next, we subtract 30 from 90.
90 - 30 = 60.
Then, we divide 60 from 4.
60 / 4 = 15.
15 is the final answer.
Therefore, the value of x is 15.
Plz help fast will mark brainliest!!!
Answer:
V≈523.6
Step-by-step explanation:
please help
Will mark brainlist
Celular limpio es frase o oracion
Answer:'
Frase
Step-by-step explanation:
Frase
Hey guys. So I'm doing a basic program for a battle game in Javascript, and I've having trouble on this one question. (subtraction)
If I have one number like 20, then 3 numbers such as 2, 4 and 7, I could easily find out which number in those 3 i subtracted by. For example if I had 18 as the answer, then I could do 20 - 18 and get 2 from the 3 numbers.
But how do I do that twice? or three or more after that one time? how would I know which one I picked after? (after the number is used once, it can still be used forever on, it's always random)
Answer:
can i show you how to do it
Step-by-step explanation:
can someone please help with this? real answer only please......ive asked multiple questions today becuz i dont really understand the assignment, please help
A banana split costs $2.50. A milkshake costs $1.70. Bobby,Jack, and Ted ordered one of each and split the cost. How much does each boy owe?
Answer:
$4.20
2.50+1.70=4.20
Answer:
Jack= $4.20
Bobby=$4.20
Ted=$4.20
Step-by-step explanation: This is the answer because if you add up all the drinks the total they payed is $12.60 so you just divided that by how many people there are and get $4.20
3-108. Write an equation and find the answer for each of the following problems. Give answers in decimal form. Homework Help a. What is the product of three tenths and four hundredths?
Please please help!!! Giving brainiest
Answer:
8.8 ounces
Step-by-step explanation:
3.96 ÷ 0.45 = 8.8
Which set of data points could be modeled by a line of best fit that is a decreasing linear function?
A. {(0, 0), (1, 8), (2, 15), (3, 22), (4, 30)}
B. {(0, 5), (1, 6), (2, 10), (3, 16), (4, 28)}
C. {(0, 50), (1, 42), (2, 33), (3, 25), (4, 16)}
D. {(0, 64), (1, 60), (2, 52), (3, 39), (4, 22)}
Answer:
c I do believe
Step-by-step explanation:
can you help me with this question is the correct answer b
In ADEF, the measure of
measure of ZD to the nearest degree.
E
52
X
F
D
14
Answer:
74 degrees
Step-by-step explanation:
Assuming we have the following
FD = 14
DE = 52
m<F = 90degrees
Required
m<D
DE = hypotenuse
FD = adjacent
Using the SOH CAH TOA identity
Cos m<D = adj/hyp
Cos m<D = 14/52
m<D = arccos(0.2692)
m<D = 74.38
m<D to the nearest degree is 74degrees
Para reformar la cocina de su caja Berta compro la semana pasada 2 cajas de plaquetas para el suelo y 4 de azulejos para la pared por 200 €. Hoy la comprado 2 cajas más de plaquetas y otras 2 de azulejos per 130 € Cuanto cuesta la caja de plaquetas y la de azulejos
Answer:
Caja de plaquetas = x = 30 €
Caja de azulejos = y = 35 €
Step-by-step explanation:
Deje que el costo de
Caja de plaquetas = x
Cuadro de mosaico = y
Por Berta
Para reformar su cocina, Berta compró la semana pasada 2 cajas de baldosas de plaquetas para el suelo y 4 cajas de baldosas para la pared por 200 €.
2x + 4y = 200 ...... Ecuación 1
Hoy
Hoy compré 2 cajas más de plaquetas y otras 2 de tejas por 130 €.
2x + 2y = 130 ..... Ecuación 2
Resolvemos usando el método de Eliminación
2x + 4y = 200 ...... Ecuación 1
2x + 2y = 130 ..... Ecuación 2
Restar la ecuación 2 de 1
2 años = 70
y = 70/2
y = 35 €
Resolviendo para x
2x + 4y = 200 ...... Ecuación 1.
2x + 4 × 35 = 200
2x + 140 = 200
2x = 200 - 140
2x = 60
x = 60/2
x = 30 €
el costo de
Caja de plaquetas = x = 30 €
Caja de azulejos = y = 35 €
HELP ME WITH THIS PLEASE :)
Answer:
1) F
2) C
3) A
4) H
Step-by-step explanation:
1)
P = a + b + c + d
P = 7x + 8 + 7x + 8 + 9x + 4 + 12x - 2
P = 35x + 18
2)
P = 4a
P = 4(4x - 8)
P = 16x - 32
3)
P = 5a
P = 5(2x - 4)
P = 10x - 20
4)
P = 4a
P = 4(7x + 2)
P = 28x + 8
someone help with the first one
Answer:
45
Step-by-step explanation: 180- 135
Answer:
<L = 45
<N = 135
Step-by-step explanation:
<L + 135 = 180
<L = 180 - 135
<L = 45
<N = 135 because of vertical angles