Answers
Applying the recursive formula f(n) = f(n-1) + 4 with the initial condition f(1) = 3, we obtain the sequence 3, 7, 11, 15, which corresponds to option D) in the given choices. Optiopn D
To find the values of the sequence defined by the recursive formula f(n) = f(n-1) + 4, with the initial condition f(1) = 3, we can apply the formula repeatedly, starting from n = 2.
Using the given formula, we can calculate the values of the sequence as follows:
f(2) = f(2-1) + 4 = f(1) + 4 = 3 + 4 = 7
f(3) = f(3-1) + 4 = f(2) + 4 = 7 + 4 = 11
f(4) = f(4-1) + 4 = f(3) + 4 = 11 + 4 = 15
The values we obtained are: f(1) = 3, f(2) = 7, f(3) = 11, and f(4) = 15.
Comparing these values to the options provided:
A) 3, 9, 11, 13
B) 3, 8, 10, 12
C) 4, 7, 10, 13
D) 3, 7, 11, 15
We can see that option D) 3, 7, 11, 15 matches the values we calculated using the recursive formula. Therefore, the correct answer is option D).
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Related Questions
Carrie is making a colorful beaded necklace. She has 3 times as many green beads
as red beads, and twice as many blue beads beads. If she has 150 beads
all together, how many of the beads are green?
Answers
Answer:
45 green beads
.
Step-by-step explanation:
Let the number of red beads be 'x'
Given that, Carrie has 3 times as many green beads as red beads
Number of green beads = 3 times number of red beads
Number of green beads = 3x
She 2 as many blue beads as green beads
Number of blue beads = 2 times the number of green beads
Number of blue beads = 2(3x) = 6x
She has 150 total
Therefore,
Number of red beads + Number of green beads + Number of blue beads = 150
x + 3x + 6x = 150
10x = 150
x = 15
Thus, number of green beads = 3x = 3(15) = 45
Thus there are 45 green beads
I hope this helps
The question requires finding total green beads she has
There are 45 green beads
let
number of red beads = x
number of green beads = 3x
number of blue beads = 2(3x)
Total beads = 150
Total beads = red beads + green beads + blue beads
150 = x + 3x + 2(3x)
150 = 4x + 6x
150 = 10x
divide both sides by 10
x = 150/10
x = 15
Therefore,
number of red beads = x
= 15 beads
number of green beads = 3x
= 3 × 15
= 45 beads
number of blue beads = 2(3x)
= 2(3 × 15)
= 2(45)
= 90
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Find the Lowest Common Multiple (LCM) of 55 and 77.
Answers
Answer:
→ 55 = 5 × 11→ 77 = 7 × 11Now, the Lowest Common Multiple (LCM) of 55 & 77 is :
5 × 7 × 11 = 385385 is the right answer.What is i^-2
please help urgently
1
-1
i
-i
Answers
This is because put 1/i^2 then reduce to 1/-1=-1
What is the volume of the figure?
Answers
Answer: 1134 inches cubed
Which of the following statements best describes the solution to the problem below? -3/6 x (-3/8)
Answers
Answer:
Step-by-step explanation:
The answer is c the solution will be positive because there are two negative signs
10 points right now for right answer
Answers
Answer:
x = 200
Step-by-step explanation:
Answer:
x=200 because it really do be like day sometimes
Step-by-step explanation:
edge trust me
I NEED HELP!!
Select correct answer
Answers
if b= -3 then -3 to the third power is -9.
So -343 minus -9 = -334
Answer: -334
Which of the following sets are infinite sets? (Brainliest - please explain how you got the answer)
Answers
Answer:
A and DStep-by-step explanation:
A. This is infinite set as there are infinite number of multiples of 50775. YesB. Number of subsets is infinite but a set is a finite. NoC. This set is finite as the number of animals is restricted. NoD. This set is infinite as includes numbers > 119671. YesE. This is a finite set as restricted to 262597. NoThe factory needs to stamp 4,320 parts. How many minutes will it take all 4 stamping machines to stamp 4,320 parts.
A. 10 minutes
B. 15 minutes
C. 45 minutes
D. 60 minutes
Answers
Answer: 15 minutes
Step-by-step explanation:
4 stamping machines in factory
1 stamping machine = 24 parts every 20 seconds
4 stamping machines = 96 every 20 seconds
4 stamping machine = 288 stamps per minute
4320 stamps divided by 288 cuts = 15 minutes
Hi, What is the area of this please?
Answers
Answer: 270 inches squared
angle W and angle Y are supplementary. If
the measure of angle W = 5x + 20 and the measure of angle Y = 4x - 11, find the measure of angle W
and Y
Answers
Answer: angle of w is 115 degrees and angle of y is 65 degrees.
Step-by-step explanation: in the picture.
Answer:
Angle W = 115° Angle Y = 65°angle W and angle y are supplementary
that is angle W + angle Y = 180°
angle w = 5x + 20
angle y = 4x - 11
putting this value in above equation
we get
5x + 20 + 4x - 11 = 180
5x + 4x + 20 - 11 = 180.
9x + 9 = 180
9x = 180 - 9
9x = 171
x = 19
angle W= 5x + 20
= 5(19)+ 20
= 95 + 20
= 115°
angle y = 4x - 11
= 4(19) - 11
= 76 - 11
= 65
Hi everyone, stay safe, I need help on this, it’s about Triangles.
Answers
Answer:
Right scalene triangle
Acute equilateral triangle
Step-by-step explanation:
For the first triangle, we will use the Converse of the Pythagorean Theorem:
If c² < a² + b², then it means that it is an acute triangle.
If c² = a² + b², then it means that it is a right triangle.
If c² > a² + b², then it means that it is an obtuse triangle.
For the first triangle, let c = 25 yd, a = 7 yd, and b = 24 yd
c² = a² + b²
25² = 7² + 24²
625 = 49 + 576
625 = 625 (True statement).
Therefore, the first triangle is a right triangle. At the same time, each angle have different measures, making it a scalene triangle. Therefore, the first triangle is an example of a right scalene triangle.
For the second triangle, since all sides are equal, it doesn't matter which side we label as a, b, or c.
Let's see which type of triangle it is according to its sides:
c² = a² + b²
32² = 32² + 32²
1024 < 2048
Therefore, it is an acute triangle. At the same, the second triangle has equal sides, making it an equilateral triangle. Therefore, the second triangle is an example of an acute equilateral triangle.
Please mark my answers as the Brainliest if you find this helpful :)
HELP ME!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
1x a other b
Step-by-step explanation:
simple
The equivalent expression is 7x - 2(1.3x + 3.5) = 5.4x - 7 and non-equivalent expression is 8 - 4(-2.2x + 1.1) = 8.8x + 12.4 .
What are linear expression ?A linear expression only has one or two variables. No variables in a linear expression is raised to power greater than 1 or used as denominator of a fraction.
Now the given expressions are,
7x - 2(1.3x + 3.5) = 5.4x - 7 ....(i)
and,
8 - 4(-2.2x + 1.1) = 8.8x + 12.4 .....(ii)
Taking equation (i)
7x - 2(1.3x + 3.5) = 5.4x - 7
So, LHS = 7x - 2(1.3x + 3.5)
⇒ LHS = 7x - 2.6x + 7
or, LHS = 5.4x + 7
⇒ LHS = RHS
So these expressions are equivalent.
Taking equation (ii),
8 - 4(-2.2x + 1.1) = 8.8x + 12.4
So, LHS = 8 - 4(-2.2x + 1.1)
⇒ LHS = 8 - 8.8x - 4.4
⇒ LHS = -0.8x - 4.4
⇒ LHS ≠ RHS
So these expressions are not equivalent.
Thus, the equivalent expression is 7x - 2(1.3x + 3.5) = 5.4x - 7 and non-equivalent expression is 8 - 4(-2.2x + 1.1) = 8.8x + 12.4.
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7. Bob has saved 32 gummi bears. His mom
gives him 3 gummis every 2 days.
What is the rate of change?
Answers
What percent of 362.5 is 145?
Answers
Answer:
40%
Step-by-step explanation:
362.5 = 100% (1).
x = 40% (2).
(362.5%)/(x%) = 100/40
x%/362.5% = 40/100
x = 145
Hope this helps.
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 550 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.02 cents per square centimeter. The top will be made of glued paper, costing 0.06 cents per square centimeter. Find the dimensions for the package that will minimize production cost.
Radius?
Height?
Minimum cost?
Answers
Answer:
Step-by-step explanation:556
Help me with this please
Answers
Answer:
volume of a rectangular prism (v) = 64 cm³
Length (l) = 8 cm
width (w) = 4 cm
height (h) = ?
volume of a rectangular prism = Length × width × height
[tex]v = lwh \\ \\ h = \frac{v}{lw} \\ \\ h = \frac{64 \: {cm}^{3} }{8 \: cm \times 4 \: cm} = \frac{64 \: {cm}^{3} }{32 \: {cm}^{2} } \\ \\ \\ h = 2 \: cm[/tex]
I hope I helped you^_^
Find the volume of a box that has a length of 7 cm, a width of 9 cm, and a height of
11.2 cm.
Answers
Remember that volume of a box, rectangular prism, is: V = LWH.
So, V = 7(9)(11.2) = 705.6 cm^3
can somebody help me solve this question. I have no idea ;(
Answers
Answer:
sorry need ko po ng points
Please help ASAP
I really have no clue what I’m supposed to do so please help me!!
Answers
Answer:
below
Step-by-step explanation:
Each column represent the number of packages of pencils and the total number of pencils you would have.
So column 1 says 1/2 package of pencils and there are 24 pencils in that package so you have 12 pencils total not 24 like it says.
Column 2 says 1 package of pencils. Since there are 24 pencils in a package, now you would have 24 pencils total.
Column 3 says 3 packages. 3 x 24 = 72 pencils total
Column 4 says 4 packages. 4 x 24 = 96 pencils total
Colum 5 says 6 1/2 packages. 6 x 24 = 144 and you know 1/2 of a package equals 12. So 144 + 12 = 156 total pencils.
Check (24, 144, 145) is a Pythagorean triplet
Answers
Answer:
Step-by-step explanation:
The given triplets are (16,63,65) . Let us assume 16 as the smallest even number, then it should be equivalent to 2m . From the above result we can say that triples (16,63,65) is a Pythagorean triplet. The given triplets are (24,144,145)
Jenna bought a package of 12 drumsticks. The package weighed 1.572 Kg. What is the average weight of each drumstick?
Answers
Answer:
0.131kg is the average.
Step-by-step explanation:
Divide 1.572 (total weight) by 12 (amount of sticks)
A box contains 5 red marbles, 6 white marbles, and 8 blue. If a Marble is randomly selected from the box, what is the likely hood that it is white? Express it in a fraction.
Answers
Likelihood of white: 6/19
The normal cruising speed of a certain airplane is about 260 m/sec. What is the speed in miles per hour? Round to the appropriate number of significant digits.
Answers
Answer: 582 miles per hour
Step-by-step explanation:
581.603 miles per hour
Round= 582
The speed of an airplane in miles per hour is 581.60 miles/hour.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.
Given the speed of an airplane = 260 m/sec
Since,
1 mile = 1.60934 kilometer
1 km = 1000 meter
So,
1 mile = 1609.34 meter
1 m = (1/1609.34) mile
And,
1 hour = 360 seconds
1 s = (1/360)hour
So,
260 m/sec = 260 (3600/1609.34) miles/hour
⇒ 581.60 miles/hour.
Hence "The speed of an airplane in miles per hour is 581.60 miles/hour".
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Can you help me anyone
Answers
Answer:
uh ew what is your pfp also its C
A contractor purchases 6 dozen pairs of padded work gloves for $80.64. He incorrectly calculates the unit price as $13.44 per pair for the expense report. What is the correct unit price? What is the error?
Answers
Answer:
it is $1.12 for each pair of gloves
Step-by-step explanation:
Two entrepreneurs imported crafts for resale. The ratio of their investment was
3:5. What was each person's share of the $12,000 sales income?
Answers
Answer:
$4500 and $7500Step-by-step explanation:
The share has the same ratio as investment:
3x + 5x = 120008x = 12000x = 12000/8x = 1500The shares are:
3*1500 = 45005*1500 = 7500Reggie records the lengths of different fabrics he has.
Answers
49/8-11/4=27/8
Reggie is left with [tex]\dfrac{27}{8}[/tex] yarns of fabric.
The total length of fabrics = [tex]\dfrac{1}{8}+\dfrac{1}{4}+3\dfrac{1}{2}+2\dfrac{5}{8}+4\dfrac{3}{4}[/tex]
= [tex]\dfrac{1}{8}+\dfrac{1}{4}+\dfrac{7}{2}+\dfrac{21}{8}+\dfrac{19}{4}[/tex]
The LCM of 4 and 8 is 8.
So, the expressions will be simplified by adding all the terms with the same denominator.
= [tex]\dfrac{49}{8}[/tex]
The fabric used by Reggie = [tex]2\dfrac{3}{4}[/tex]
= [tex]\dfrac{11}{4}[/tex]
The fabric left can be calculated by subtracting the total fabric he used from the total fabric he had.
Fabric left =[tex]\dfrac{49}{8} - \dfrac{11}{4}[/tex]
The LCM of 8 and 4 is 8
Fabric left = [tex]\dfrac{49}{8} - \dfrac{22}{8}[/tex]
= [tex]\dfrac{27}{8}[/tex]
So, he is left with [tex]\dfrac{27}{8}[/tex] yarns of fabric.
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(5,-2)
Can someone help
Answers
Answer: (5, -2)
Step-by-step explanation: no question boss
Answer:
I can probably help but I don`t really understand what you`re asking. Put your question in the comments and I`ll do my best to answer!
Please answer question A) please ASAP ☺️
Answers
Answer:
Given function:
P(n) = 0.4n + 5.7Find its inverse:
x = 0.4[tex]P^{-1}[/tex](x) + 5.70.4[tex]P^{-1}[/tex](x) = x - 5.7[tex]P^{-1}[/tex](x) = (x - 5.7)/0.4 [tex]P^{-1}[/tex](x) = x/0.4 - 5.7/0.4[tex]P^{-1}[/tex](x) = 2.5x - 14.25a) Correct choice is B
[tex]P^{-1}[/tex](x) is the amount of vitamins n for a price of x dollars.b) See above the equation of inverse function.
c) Find the value of inverse function when x = 8.3
[tex]P^{-1}[/tex](8.3) = 2.5*8.3 - 14.25 = 6.5 grams