write the first 4 terms of the sequence defined by its given rule 5. f(1) = 7, f(n) = -4.f(n - 1) + 15
Answers
Answer:
The first 4 terms of the sequence are: 3, 9, 81, 6561
Step-by-step explanation:
We are given the following recursive function:
[tex]f(n) = [f(n-1)]^{2}[/tex]
And the following initial condition:
[tex]f(1) = 3[/tex]
The second term of the sequence is:
[tex]f(2) = [f(2-1)]^{2} = f(1)^2 = 3^2 = 9[/tex]
The third term of the sequence is:
[tex]f(3) = [f(3-1)]^{2} = f(2)^2 = 9^2 = 81[/tex]
The fourth term of the sequence is:
[tex]f(4) = [f(4-1)]^{2} = f(3)^2 = 81^2 = 6561[/tex]
The first 4 terms of the sequence are: 3, 9, 81, 6561
Related Questions
Is graphite all of the following?
Pure substance
Element
Compound
And Molecule
Pls help asap
Answers
Answer: Yes!
Step-by-step explanation:
Yes, graphite is composed of 100%carbon. With this, can we say that graphite is an element or compound of carbon? Compound is composed of two or more elements combined in a substance in definite proportions, in the form of molecules held together by chemical bonds.
A university conducted a study of whether running is healthy for men and women over age 50. During the first eight years of the study, 1.4% of the 458 members of a fitness association died. We are interested in the proportion of people over 50 who ran and died in the same eight-year period.
Define the Random Variables X and P', in words. which of the following?
a. X is the proportion of people who ran and died in the eight-year period, and P' is the number of people who ran and died in the eight-year period.
b. X is the proportion of all runners that die, and P' is the number of all runners that die.
c. X is the number of people who ran and died in the eight-year period, and P' is the proportion of people who ran and died in the eight-year period.
d. X is the number of all runners that die, and P' is the proportion of all runners that die.
Answers
Answer:
The correct answer is c.
Step-by-step explanation:
x represents the number of the data variable that is being studied and from this data we obtain P, that is, the proportion
P is the proportion that is equal to x / n that is, x is equal to 6.41 that when divided by 458 which is equal to n and multiplied by 100 gives a proportion of 1.4%
P= 6.41÷458×100=1.4%
PLZ HELP ASAP
A cereal box holds 729 cubic inches if the area of the base measures 40.5 square inches
Answers
Answer:
The height = 18 inches
Step-by-step explanation:
The volume = area of the base × height
Area of the base = 40.5 inches²
The volume = 729 inches³
729 = 40.5 × height
Height = 729 ÷ 40.5 = 18 inches
Which table represent the statement "A computer repairman makes $25 per hour"?
Answers
Answer:
c
Step-by-step explanation:
You are given that angle RST and angle TUR are right angles. What additional piece of info allows you to prove they are congruent
Answers
Answer:
the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.
Step-by-step explanation:
As given , RST and angle TUR are right angles.
So the triangles are right angle triangles.
If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.
So, the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.
Jackson has up to 7 1/2 hour to spend at an amusement park he will spend 1 1/2 of those hours at the water park He will spend x hours at each of the 3 other sections in the amusement park.
Select the inequality that can be solved to determine the number of hours Jackson can spend in each one of the other sections.
A. 1 1/2 + 3 ≤ 7 1/2
B. 3X + 1 1/2 ≥ 7 1/2
C, 1 1/2x + 3 ≥ 7 1/2
D. 3x + 1 1/2 ≤ 7 1/2
Plz right answer
Answers
Answer:
D
Step-by-step explanation:
Since Jackson has 7 1/2 hours to spend at the amusement park, he has already spent 1 1/2 of those hours at the water park (We will need this shortly). Since he has 6 hours remaining and 3 parks to go, he can't spend more than 7 1/2 hours at the park. This means that the answer will have to be less than or equal to. Finally, it would be D because he can spend any amount of time at the other 3 parks (x) plus the 1 12 hours he already spent.
Marco sells and ships oranges from the trees in his orange grove for $1.25 per pound plus a shipping fee. One package has a shipping fee of $4.95 and a total cost of $11.20. Write and solve an equation to find the number of pounds of oranges in the package. Show your work.
(Please help )
Answers
Answer:
Let x = the number of pounds of oranges in the packet.
The equation: 11.20 = 1.25x + 4.95
11.20 = 1.25x+4.95
6.25 = 1.25x
x = 5
There are 5 pounds of oranges in the packet.
Let me know if this helps!
At one store, Alex saved $10 with a coupon for 50% off her total purchase. At another store, the $28 she spent on books is 56% of her total bill. How much did Alex spend in all at the two stores?
Answers
Solve for y: y+4 = -2(x – 6)
Answers
l hope that helps
Help! I’m suppose to distribute and simplify.
-1(45p+22)-(4(9p)+11)
Answers
= −1(45p + 22) + −1(4(9p) + 11)
= −1(45p + 22) + −1(4(9p)) + (−1)(11)
= −1(45p + 22) + −36p + −11
Distribute= (−1)(45p) + (−1)(22) + −36p + −11
= −45p + −22 + −36p + −11
Combine Like Terms= −45p + −22 + −36p + −11
= (−45p + −36p) + (−22 + −11)
= −81p + −33
Adding A Negative Is The Same Thing As Subtracting So Our Answer Is:-81p - 33
- Pacific Northwest
56+7= _ + _ =
using number bonds by making a 10 or adding to the ones
Answers
Answer:
60+3
Step-by-step explanation:
I will give brainiest.
Answers
Answer:
the third one is the answer
The weight of an object on the moon is 1/6 its weight on earth. If a bowling ball weighs 12 and 1/2 pounds on earth, how much does it weigh on the moon?
Answers
The temperature in the morning is 18.6 C. By noon the temperature rises 8.5 C. What is the temperature at noon
Answers
Answer:27.1c
Step-by-step explanation:
18.6 + 8.5 =27.1
Answer:
27.1
Step-by-step explanation:
64 people ordered a veggie burger at a local hamburger stand out of 160 people in an hour. What percentage of the customers ordered a veggie burger ?
A 40%
B 60%
C 64%
Answers
Answer:
A
Step-by-step explanation:
PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
b
Step-by-step explanation:
these are verticle angles so they will equal each other
3x=30
Answer:
B
Step-by-step explanation:
3x=30
Divide both sides by 3 and cancel the 3 on the left side.
x=10
Check by putting 10 for x
3(10)=30
30=30
I need help I have 20mons left
Answers
Answer:
y=1/2x-7
your welcomee
Iuhi(in 6uguyguygugjhguygiygi6ihb
Answers
Answer:
gt676t6
Step-by-step explanation:
Answer:
yuhijokfdvbr9878r9t
Step-by-step explanation:
jy
A and B are complementary angles. If m A = (4x + 24) and m
ZB = (3x – 4)º, then find the measure of B.
Answers
Answer: 26
Step-by-step explanation: Complementary angles are angles that add up to 90 degrees. So we use m<a+m<b=90 so let plug in
(4x+24)+ (3x-4)=90, then combine like with like.
7x+20=90
7x=70
x=10
Then let plug it in for angle B
(3(10)-4= 26
Answer:
x = 10°
∠B = 26°
Step-by-step explanation:
complementary means they add up to 90 degrees.
4x + 24 + 3x - 4 = 90°
combine like terms:
7x + 20 = 90°
7x = 70°
x = 10°
mams buy 3 large sandwiches to serve at a picnic. 9 people come to the picnic. Show 3 different ways to cut the sandwich so that each person gets an equal share.
Answers
Cut each sandwich into thirds.
Hopefully, your friends aren't very hungry
Mrs. Bush has a carpet remnant left from putting carpet down in her living room.
The carpet remnant was 4 1/8 square units. If the remnant was 3/4 units wide,
what was the length? *
Answers
Answer: The length = [tex]5\dfrac12[/tex] units
Step-by-step explanation:
Given: Area of carpet = [tex]4\dfarc18 \text{ sq. units}=\dfrac{33}{8}\text{ sq. units}[/tex]
Width of carpet = [tex]\dfrac34[/tex] units
Shape of carpet = Rectangle
Area of rectangle = length x width
So,
length = [tex]\dfrac{Area}{width}[/tex]
[tex]=\dfrac{\dfrac{33}{8}}{\dfrac34}\\\\=\dfrac{33}{8}\times\dfrac43\\\\=\dfrac{11}{2}\\\\=5\dfrac12\text{ units}[/tex]
Hence, the length = [tex]5\dfrac12[/tex] units
Help me on this question please
Answers
Answer:
j = h + 9
Step-by-step explanation:
To go from 3 to 12, add 9 to 3. Add 9 to 4 to get 13. Add 9 to 5 to get 14.
In each case, add 9 to the value of h to get j.
j = h + 9
Answer:
it's the first one j=h+9
Step-by-step explanation:
as you can see the pattern you will look at all the answer choices and eliminate them one by one since it is the first answer you will be adding the numbers from the input by 9 and it will give you the output as you can see the other answers they are either multiplying by 9 or you just can't add them with the equation.
pls help pls, i need this pls help
Answers
Answer:
Step-by-step explanation: a real one for the points
+
2
8
2
Least multiple that is the sam
Add using renamed fractions
Answers
Answer:
no
Step-by-step explanation:
Hal rolls a fair six-sided die 60 times. What is the best prediction of the number of times Hal will roll a 3 or a 6?
exactly 20 times
roughly 20 times
exactly 30 times
roughly 30 times
Answers
Answer:
roughly 20 times
Step-by-step explanation:
2/6 = 1/3 is the probability he will roll a 3 or a 6
1/3 * 60 = 20.
It's not exact because you can't predict exactly what will happen, so it's roughly 20 times.
Which values from the set {2,4,6,8,10} make this inequality n + 5 > 10 true?
Answers
Answer:
6,8,and 10
Step-by-step explanation:
Answer:
6,8,and 10
Step-by-step explanation:
when you plug in each number from the set into the inequality you will see which values from the set will make the inequality true.
1. 2+5>10 = 7>10 FALSE
2. 4+5>10 = 9>10 FALSE
3. 6+5>10 =11>10 TRUE
4. 8+5>10 = 13>10 TRUE
5. 10+5>10 = 15>10 TRUE
2.9+0.29
I just need help with that
Answers
Answer: 3:19
Step-by-step explanation:
Next time please don't use blurry photos I couldn't see to well
Also Have a good day I love you so much Make sure to drink plenty of fluids that's all byee ♡ ♡
Answer:
3.19
Step-by-step explanation:
2.90
+ 0.29
______
3.19
Add 0 and 9 = 9
9 + 2 = 11, bring just one 1 down, and the other put it on top of the 2
Bring down the decimal to the same location
and 2 plus the 0 and the one and it will be 3
so...
Hope this helped!
Have a supercalifragilisticexpialidociuos day!
Question 12
The average mass of Jeremy, Mark and Zack is 28 kg. If Jeremy and Zack's average mass is
29kg. How heavy is Mark?
Answers
Answer:
Mark's mass is 26 kg.
Step-by-step explanation:
Average mass of Jeremy, Mark and Zack = 28kg
Average mass of Jeremy and Zack = 29 kg
Let,
Jeremy's mass = x
Mark's mass = y
Zack's mass = z
Average of three of them = [tex]\frac{Jeremy's mass + Mark's + Zack's}{3}[/tex]
28 = [tex]\frac{x+y+z}{3}\\[/tex]
[tex]28*3 = x+y+z\\84 = x+y+z[/tex]
x+y+z = 84 Eqn 1
[tex]29 =\frac{x+z}{2}\\58=x+z\\[/tex]
x+z = 58 Eqn 2
Now putting value of x+z from Eqn 2 in Eqn 1
x + z + y = 84
58 + y = 84
y = 84 - 58
y = 26
Thereofore,
Mark's mass is 26 kg.
can someone solve this for me please, i really need help
Answers
Answer:
I sorted them by colors: red goes with red, blue with blue, purple with purple and brown with brown :))
Step-by-step explanation:
List all the factors.
48
Answers
Answer:
Postive intiger factors: 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.
Answer:
1,2,3,4,6,8,12,16,24,48
Step-by-step explanation: