Answers
Answer: Choice A
f(1) = 2
f(n) = 2*f(n-1) for n ≥ 2
===========================================================
Explanation:
n = term number
So for instance, n = 3 represents the index for the 3rd term
We see that when n = 1, f(n) = 2 as shown by the left-most red point.
This means that f(1) = 2 which is a short way of saying "the first term is 2".
So the answer is between A and C.
Let's randomly guess that it might be choice C. We'll use the recursive rule given to generate the next term
f(n) = 4*f(n-1)
f(2) = 4*f(2-1) .... replace every n with 2
f(2) = 4*f(1)
f(2) = 4*2 ..... replace f(1) with 2, since f(1) = 2
f(2) = 8
This tells us that the 2nd term is 8, but the graph says it should be 4. Note the red point at (2,4)
Ultimately this all means that we can eliminate choice C and go with choice A as the final answer.
As a check, let's plug n = 2 into the recursive rule for choice A
f(n) = 2*f(n-1)
f(2) = 2*f(2-1)
f(2) = 2*f(1)
f(2) = 2*2
f(2) = 4
We get the proper second term. I'll let you check the other remaining terms. The notation 2*f(n-1) means "multiply 2 by the previous (n-1) term". In other words, the term values are doubling {2,4,8,16,...}
Related Questions
What is the slope-intercept equation for this
standard form equation?
(Y-intercept needs to be positive)-
(Giving Brainliest for Correct Answer-)
6x - 3y = 12
Answers
Answer:
Y = 2x - 4
Slope is 2.
Y-intercept is -4.
Step-by-step explanation:
To find slope in standard form, take -A/B. So 6 is A, -3 is B. -(6/-3) = 2.
And to find the y-int, take C/B. C is 12. So, 12/-3 = -4.
Or you could also rearrange the equation. . .
6x - 3y = 12.Subtract 6 from both sides. -3y = -6x + 12Divide by -3 to isolate the y. y = 2x - 4.Maritza worked at an ice cream parlor selling milkshakes and ice cream cones. Altogether, she sold 149 milkshakes and ice cream cones. The milkshakes sold for $4 and the ice cream cones for $3. The total amount collected was $533. How many milkshakes and ice cream were sold?
Answers
Answer:
86 milkshakes and 63 ice cream were sold
Step-by-step explanation:
Let the amount of milkshake sold be x
Let the amount of ice cream sold be y
If she sold 149 milkshakes and ice cream cones then;
x+y = 149 ... 1
If the milkshakes sold for $4 and the ice cream cones for $3, with total amount #533 collected then;
4x + 3y = 533 ....2
Solve both equations simultaneously
x+y = 149 ... 1 * 4
4x + 3y = 533 ....2 * 1
________________________
4x+4y = 596
4x+3y = 533
Subtract
4y-3y = 596-533
y = 63
since x +y = 149
x+63 = 149
x = 149 - 63
x = 86
Hence 86 milkshakes and 63 ice cream were sold
Lula is reading a book for school that is 175 pages long. So far, she has read 50 pages. She can read 25 pages per hour. How many hours will it take her to finish the remainder of the book? Which answer choice best represents the unknown quantity in this problem ?
Answers
Answer: 5 hours
Step-by-step explanation:
She has already read 50 pages so we need to deduct that to calculate the answer:
= 175 - 50
= 125 pages left
She can read at a speed of 25 pages per hour. The number of hours it would take to read the remainder of the book would therefore be:
= 125 pages / 25 pages per hour
= 5 hours
Answer:
5
Step-by-step explanation:
hello longlove......?
???
follow me
Answers
Answer: who me?
Step-by-step explanation:
Oh sure thing. XD
f(x)= 3x^2
g(x) =7x+4
f(g(4))=____
Answers
G(4)=28+4
G=32
F(32)= 3(32)^2
F= 9216
f(g(4))= 9216
How do you do this???
Answers
Answer:
Step-by-step explanation:
estimate, appraise, evaluate, value, rate, assess mean to judge something with respect to its worth or significance.
Answer:
1.8
Step-by-step explanation:
So [tex]log_{5}[/tex] 16 is [tex]log_{5}[/tex] 4(4) so [tex]log_{5} 4 + log_{5} 4[/tex] = .9+.9=1.8
Please help with this geometry question
Answers
Answer:
I think it's 8ft. Hope it helps.
A student earns an 80% on their science test. If she got 20 questions correct, how many total were on the test?
Answers
Explanation: 20 divided by 25 is .8 which is 80%
What is the volume of the prisms below?
What equation would you use for the last picture?
Answers
Answer:
8) 131.118in^3
9) 18cm^3
Step-by-step explanation:
8) Volume of the prism = Length * Width * height
Volume of the prism = 4.1in * 8.2in * 3.9in
Volume of the prism = 131.118in^3
Hence the volume of soil that will fill the prism is 131.118in^3
9) Volume of the triangular prism = Base Area * Height of prism
Base Area = 1/2bh
Base Area = 1/2 * 4 * 3
Base Area = 6cm^2
Height of the prism = 3cm
Volume of the prism = 6cm^2 * 3cm
Volume of the prism = 18cm^3
In APQR, the measure of R=90°, the measure of Z=7°, and Q= 9.4 feet. Find the
length of QR to the nearest tenth of a foot.
Answers
Answer:
i m insha i no the z=7and jehdbxh jsjzhwj
dj dad nen
im trying to help my little brother with his homework and I don't remember how to convert 54 to 5/4
Answers
Answer:
divide 54 by 9, and you get 6. this is because for every 5 sam gets bethan will get 4. if you add, that, you will get the total amount for 1 share. since there are 6 shares, you multiply that by the amount of eros sam and bethan gets each share.
Step-by-step explanation:
divide 54 by 9, and you get 6. this is because for every 5 sam gets bethan will get 4. if you add, that, you will get the total amount for 1 share. since there are 6 shares, you multiply that by the amount of eros sam and bethan gets each share.
Thomas deposited $800 into two different accounts.
- He deposited $450 into an account that pays 4.5% simple interest.
- He deposited $350 into an account that pays 4.25% compounded annually.
If Thomas does not deposit additional money into the accounts and he doesn't withdraw any money from the accounts, which is closest to the total balance he will have in the accounts at the end of 2 years?
Group of answer choices
A. $820.38
B. $1,220.88
C. $871.79
D. $870.88
Answers
The total balance he will have in the accounts at the end of 2 years
is D. $870.88.
What are simple and compound interests?Simple interest is often a predetermined percentage of the principle amount borrowed or lent paid or received over a specific time period.
Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
The formula for simple interest is SI = (p×r×t)/100 and the formula for compound interest is A = P(1 + r/100)ⁿ.
∴ P + (p×r×t)/100 + P(1 + r/100)ⁿ is the total amount after 2 years.
= 450 + (450×4.5×2)/100 + 350(1 + 4.25/100)².
= 450 + 40.5 + 350(1.0425)².
= 490.5 + 380.38.
= $870.88.
learn more about compound interest here :
https://brainly.com/question/19090581
#SPJ2
Solve for x. Assume that lines which appear to be diameters are actual diameters.
Answers
Answer:
x = 7
Step-by-step explanation:
[tex](4x + 2) \degree = 360 \degree - (85 + 40 + 75 + 130) \degree \\ \\ (4x + 2) \degree = 360 \degree - 330 \degree \\ \\ (4x + 2) \degree = 30 \degree \\ \\ 4x + 2 = 30 \\ \\ 4x = 30 - 2 \\ \\ 4x = 28 \\ \\ x = \frac{28}{4} \\ \\ x = 7[/tex]
7¼× 8/9×3/4
find the sum
Answers
Answer:
Step-by-step explanation:
[tex]7\frac{1}{4}*\frac{8}{9}*\frac{3}{4}=\frac{29}{7}*\frac{8}{9}*\frac{3}{4}\\\\=\frac{29*8*3}{7*9*3}\\\\=\frac{29*2*1}{7*3*1}\\\\=\frac{58}{21}\\\\=2\frac{16}{21}\\[/tex]
Mrs. Jones bakes 100 cookies. She is going to split them into groups of 5 to sell at a bake sale. Which equation shows how many bags she will need? Use b for bags.
Answers
Answer:
100/5=b
Step-by-step explanation:
do 100 divided by 5 then that will be your answer, b
Help please I give you a cookie
Answers
solve -3-(-5)+(-2)
Answers
Hope this helps
Answer:
[tex]0 \: is \: the \: answer[/tex]
Step-by-step explanation:
1) Remove parentheses.
[tex] - 3 + 5 - 2[/tex]
2) Simplify -3 + 5 to 2.
[tex]2 - 2[/tex]
3) Simplify.
[tex]0[/tex]
Therefor the answer is 0.
What is the value of n?
Answers
Select the correct answer.
A glass case is in the shape of a rectangular prism. The volume of the case is 4/125 cubic foot. How many cubic blocks with a side length of
*1/5 foot would be required to find the volume of the glass case?
A. 2
B. 3
C. 4
D. 5
Answers
Step-by-step explanation:
4 cubic blocks would be required to find the volume of the glass case.
Answer:
4
Step-by-step explanation:
Can somebody actually help im so lost rn
Answers
Answer:
M-> R, O -> U, and P -> G
Step-by-step explanation:
Since the triangles are congruent (equal), do you see how it is a mirror image so M is mapped to R, O to U, and P to G, since those are the corresponding points
Can someone help me with this?
Answers
Answer:
a) BD = 5
b) FD = 13
Step-by-step explanation:
For both questions we follow pythagoras therom.
For the first one we do 3^2 +4^2 = 25 and then we root this answer to 5
For the second we have to find the base of GD in order to find FD. GD will be 4^2+12^2 which equals to 160 and then you root.
Finally, we can find FD which is sqaure root of 160^2 + 3^2 = 169. The square root of 169 is 13. Answer is 13.
Answer:
Step-by-step explanation:
AD =BC = FG = EH = 3
AB = DC = EF =HG = 4
BF =AE = DH = CG = 12
Use Pythagorean theorem,
Hypotenuse² = base² +altitude²
BD² = DC² + BC²
= 4² + 3²
= 16 + 9 = 25
BD = √25
BD = 5
DG² = DC² + CG²
= 4² + 12²
= 16 + 144
= 160
FD² = DG² + FG²
= 160 + 3²
= 160 + 9
= 169
FD = √169 = 13
FD = 13
Whats y=18x pls helppp
Answers
Linear Equations & Functions -
Basically, this equation is meant for functions and graphing functions.
[tex]y = 18 \times \: x[/tex]
x,y
2,36
5,90
You could also use this to find the slope:
y1-y2
--------
x1-x2
:
-54
-----
-3
=18
You could also graph it.
1 point
1.
Joe stands at the top of a cliff and looks down at a 49-degree angle
of depression at a boulder that is 17 m away from the bottom of the cliff.
How tall is the cliff?
11.2 m
14.8 m
19.6 m
25.9 m
Answers
Answer:
Step-by-step explanation:
tan49=h/17
h=17tan49
h=19.6 m
The height of the cliff is 19.6 m tall
A right angled triangle is a triangle (has three sides and three angles) in which one of the angles measure 90°.
Trigonometric ratios is used to show the relationship between the sides of the right angled triangle and its angles.
Let h represent the height of the cliff. Let θ = 90 - 49 = 41°. Hence:
tan(41) = 17/h
h = 17 / tan(41) = 19.6 m
Therefore the cliff is 19.6 m tall
Find out more at: https://brainly.com/question/3770177
Copy the shape and fill in the missing angle. Sow the work. Thanks.
Answers
Answer:
The first triangle can be solved using the triangle sum theorem.
There is a vertical angle, so 75 is the angle at the bottom left. 45 is also a vertical angle. Now we have 75+45+x=180, where x is the missing angle. x is 60.
A straight line = 180 degrees, so 60+79+y, where y is unknown, is equal to 180. y is 41. Now use the triangle sum theorem for the triangle to the right. 41+68+z, where z is unknown, = 180. Z is 71.
Now the last part is to find the question mark. A straight line is 180 degrees, so 71+"?" is 180. Simplify to find that "?" is 109.
help
Given
mZABD = 70°
mZCBD = 5x + 13°
mZABC = 3.x + 33
Find m ZABC:
Answers
Answer:
3x+33+5x+13=70
8x+33+13=70
8x+46=70
8x=24
x=3
Let me know if this helps!
Felicity’s dog eats no more than two cups of dog food per day. Felicity’s dog eats at least one-quarter cup more than one-half of the amount Martin’s dog eats. If the amount of food that Martin’s dog eats is represented by using m, which inequality represents the situation?
2 greater-than-or-equal-to one-half m + one-fourth
2 less-than-or-equal-to one-half m + one-fourth
2 + one-fourth greater-than one-half m
2 minus one-fourth greater-than one-half m
Answers
Answer:
It’s A
Step-by-step explanation:
Did the quiz
What is the measure of ZC? *
Answers
hope this helps!
Answer:
∠ C = 70°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
subtract the sum of the 2 given angles to obtain ∠ C , that is
∠ C = 180° - (70 + 40)° = 180° - 110° = 70°
Divide 2 1/2 by 1/4 ok please
Answers
Answer:
10
Step-by-step explanation:
your answer is 10 I worked it out and it's correct
heLP PLS I MARK BRAINLIEST ALSO PLEASE INCLUDE STEPS ON IT
Solving a Real-World Problem Involving Surface Area
A rectangular prism. A rectangle has a base of 14 inches and height of 17 inches. A rectangle has a base of 15 inches and height of 14 inches. A rectangle has a base of 14 inches and height of 8 inches. 2 triangles have a base of 15 inches and height of 8 inches.
Devon wants to build a ramp with the dimensions shown. How much wood does he need?
470 in.2
560 in.2
568 in.2
680 in.2
Answers
Answer:
second one
Step-by-step explanation:
can you help me with my question
Answer:
D
Step-by-step explanation:
I DID THE TEST RIGHT NOW
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answers
Answer:
34.12
Step-by-step explanation:
Plug in the given value (36) for the variable x. Given the order of operations, multiply 36 x 0.80 (which equals 28.8) and add 5.32 (which makes the answer 34.12)