Which statement describes the sequence defined by a Subscript n Baseline = StartFraction n squared minus 16 Over n cubed + 4 EndFraction?
Answers
Answer: Converges to 0
Step-by-step explanation:
took test
Answer:
its not b
Step-by-step explanation:
Related Questions
Explain how you can find the side length of a rectangular prism if you are given the volume and the 2 other measurements. Does this process change if one of the measurements is a fraction?
Answers
Answer:
The volume of a rectangular prism can be calculated by the formula:
Volume of a rectangular prism = length * width * heightIf the exercise give us the volume and the two other measurements (width and height), we must simplify the length from the formula showed (remember when a value is multiplying in a side to the equal sign, go to the other side to divide):
(Volume of a rectangular prism) / (width * height) = lengthOr, in other form:
[tex]length=\frac{volume}{width*height}[/tex]At last, the proccess change only a little if one is a fraction, in that case, you should just multiply or divide with that fraction.
Step-by-step explanation:
We're gonna take measurements for the volume, width and height to solve a hypothetical exercise:
Volume = 240 [tex]in^{3}[/tex]Width = 4 inHeight = 12 inWe use the formula in the answer:
[tex]length=\frac{volume}{width*height}[/tex]Replacing the data we obtain:
[tex]length=\frac{240in^{3} }{4 in *12in }[/tex][tex]length=\frac{240in^{3} }{48in^{2} }[/tex][tex]length=[/tex] 5 inchesNow, we're gonna make the a hypothetical exercise where a measurement is a fraction, we can select anyone, in this case will be the width:
Volume = 48 [tex]in^{3}[/tex]Width = 8/3 inHeight = 6 inWe use the same formula and replace again:
[tex]length=\frac{volume}{width*height}[/tex]
[tex]length=\frac{48in^{3} }{\frac{8}{3}in *6 in}[/tex][tex]length=\frac{48in^{3} }{16in^{2} }[/tex][tex]length=[/tex] 3 inchesAs you can see, the process does't change much using fractions, you must only know the correct form to operate these.
ILL GIVE BRAINLIEST PLEASE HELP
Answers
Answer:
69.
Step-by-step explanation:
literally just put 69, or dude use photo math ! u can download it on the app store . it's so helpful better than this app
A chocolate bar says that a
serving size is 1/3 of the bar. How
many servings are in six bars of
chocolate?
Answers
1/3 x 6 = 1/18
Answer:
6/18 or 3/9 they are the same!
Hope this helps! Brainliest thanks!
ASAP
A Ferris wheel at the local fair has a diameter of 52 meters. Which expression can be used to find its circumference, C, in meters
A. C= 26 x π
B. C= 52 x π
C. C= 2 x 52 x π
D. C= 26²π
And how did you get the answwr
Answers
Answer:
it must be C because it has a better explanation
solving exponential equation 8^3x+4 = 4^2x-1
Answers
Answer:
x = -14/5
Step-by-step explanation:
Given: 8^(3x+4) = 4^(2x-1)
Rewrite with same base: (2^3)^(3x+4) = (2^2)^(2x-1)
Use exponent rules: 2^(3(3x+4)) = 2^(2(2x-1))
Eliminate bases: 3(3x+4) = 2(2x-1)
9x+12 = 4x-2
5x+12 = -2
5x = -14
x = -14/5
a printer can print 27 pages in 4.5 minutes. how much time does it take to print 324 pages
Answers
Answer:
54
Step-by-step explanation:
27pages=4.5minutes
[tex]1 = \frac{4.5}{27} [/tex]
[tex]324 = \frac{4.5}{27} \times 324[/tex]
[tex]324 = 4.5 \times 12[/tex]
324pages=54minutes
Hence, the printer can print 324pages in 54 minutes
Reuben L. Goldberg and His Machines
The Artist and His Work
Reuben (Rube) L. Goldberg was an American cartoonist. He is best known for drawing elaborate machines. His drawings showed machines with wheels, gears, handles, pails, and other interesting devices. The machines in Goldberg's drawings were designed to take a simple task and make it complex. The contraptions he drew 80 years ago were so funny that they continue to inspire young scientists and engineers today.
Goldberg's Career
Goldberg's cartoons appeared in several respected New York City newspapers, including the New York Evening Journal and the New York Evening Mail. The cartoonist also wrote a feature film called Soup to Nuts, which was the first film starring the Three Stooges. Goldberg's machines appear in the film.
How to Build a Cause-Effect Machine
Every year students build machines based on Goldberg's designs for school projects, for competitions, or simply for fun. Goldberg's machines operate based on cause and effect. Students and engineers of all ages can learn to build these elaborate cause-effect machines. The key to building one of these machines is to understand how to use gravity and force to push and pull objects along a path. Reading up on these concepts is a good place to start. After that, building the machines is all about having fun. Find a simple task for the machine to do. Then, find a complicated way for the machine to do it.
The Cause-Effect Machine in Popular Culture
Cause-effect machines are incredibly fun to watch. For this reason, they have found their way into Hollywood movies such as Back to the Future and The Goonies. The machines also inspired a board game for kids called Mouse Trap. Clearly, Goldberg's machines have a place in our popular culture.
4
Which section develops the idea that Goldberg's machines help inspire young scientists and engineers?
A.
How to Build a Cause-Effect Machine
B.
The Artist and His Work
C.
Goldberg's Career
D.
The Cause-Effect Machine in Popular Culture
Answers
Answer:
B
Step-by-step explanation:
The Artist and His Work
List the first 5 multiples of 6.*
Answers
Answer:
6 , 12 , 18 , 24 , 30 , 36 , 42 , 48 , 54 , 60 just in case u need more :)
Step-by-step explanation:
please mark me brainliest
Answer:
0, 6, 12, 18, 24, 30, 36,
Step-by-step explanation:
hope this helps if not sorry
Let's compare two different raffles to see which ticket you should buy? A. Raffle 1: 800 raffle tickets are sold $2.00 each. There is one gran prize for $450 and two consolation prizes of $100 each that will be awarded. What is the expected value of one ticket? B. Raffle 2: 350 raffle tickets are sold for $2.00 each. There is one grand prize of $150 and three consolation prizes of $50 each. What is the expected value of one ticket?
Answers
Answer:
(a) The expected value is: $0.40625
(b) The expected value is: $0.4286
Step-by-step explanation:
Solving (a): Raffle 1
Given
[tex]Tickets=800[/tex]
[tex]Value = \$2[/tex] per ticket
[tex]Grand\ Prize = \$450[/tex] ---- for 1
[tex]Consolation = \$100[/tex] --- for 2
Required
The expected value of each ticket
First, calculate the total amount of the 800 tickets
[tex]Amount = Tickets * Value[/tex]
[tex]A_1 = 800 * \$2[/tex]
[tex]A_1 = \$1600[/tex]
Next, calculate the total amount of the prizes
[tex]Amount = Tickets * Value[/tex]
[tex]A_2 = \$450 * 1 +\$100 * 2[/tex]
[tex]A_2 = \$450 +\$200[/tex]
[tex]A_2 = \$650[/tex]
The expected value E(x) of 1 ticket is calculated as:
[tex]E(x) = \frac{A_2}{A_1}[/tex]
[tex]E(x) = \frac{\$650}{\$1600}[/tex]
[tex]E(x) = \$0.40625[/tex]
Solving (b): Raffle 2
Given
[tex]Tickets=350[/tex]
[tex]Value = \$2[/tex] per ticket
[tex]Grand\ Prize = \$150[/tex] ---- for 1
[tex]Consolation = \$50[/tex] --- for 3
Required
The expected value of each ticket
First, calculate the total amount of the 800 tickets
[tex]Amount = Tickets * Value[/tex]
[tex]A_1 = 350 * \$2[/tex]
[tex]A_1 = \$700[/tex]
Next, calculate the total amount of the prizes
[tex]Amount = Tickets * Value[/tex]
[tex]A_2 = \$150 * 1 +\$50 * 3[/tex]
[tex]A_2 = \$150 +\$150[/tex]
[tex]A_2 = \$300[/tex]
The expected value E(x) of 1 ticket is calculated as:
[tex]E(x) = \frac{A_2}{A_1}[/tex]
[tex]E(x) = \frac{\$300}{\$700}[/tex]
[tex]E(x) = \$0.4286[/tex]
.24 repeating as a fraction but the 4 is the only thing repeating
Answers
Answer:
22/90.
Step-by-step explanation:
0.24444... * 100 = 24.4444...
0.244444.. * 10 = 2.44444....
Subtract:
0.244444.. * 90 = 22
So the required fraction is 22/90.
A recipe for homemade clay calls for 6 cups of water for every 12 cups. How many cups of water are needed when 4 cups of flour are used ?
Answers
Answer:
2 cups of clay
Step-by-step explanation:
Given data
we are given that 6 cups of water for every 12 cups of clay
i.e
12 cups of clay require 6 cups of water
4 cups of clay will require x cups of water
cross multiply
12x= 4*6
12x= 24
divide both sides by 12
x= 24/12
x= 2cups
Hence 4 cups of water will require 2 cups of clay
Write an algebraic equation to represent the
situation. Be sure to define the variable you are
using. For example: b = the # of books.
Write your equation and define the variables here.
Answers
Answer:
Where is the situation?
Step-by-step explanation:
Is this all? Or did you forget to add the picture? Comment down below I'll answer im good with algebraic expressions.
Find the area of the figure. The area is square inches.
please help!
Answers
Answer:
154 inchs
Step-by-step explanation:
22 * 14 divided by 2
What is the surface area of the cone? Use 3.14 for pi. Suppose the diameter and the slant height
of a cone are cut in half. How does this affect the surface area of
the cone? 14 cm is the diameter and 21 cm is the slant height
Answers
Answer:
923.16
Step-by-step explanation: so what you is you multiply 14x21 the you take half the raidius and divide by 3.14 and thats how you get your answer.
MATH HELP
Ben received 1 mark for every correct answer on a
multiple-choice test.
He answered 75 questions correctly out of a total
of 135 questions.
On the test, 55% is a pass. Did Ben pass the test?
Give reasons for your answer.
Answers
Answer:
yes
Step-by-step explanation:
75 out of 135 is 55.6%
Which is a zero of the quadratic function f(x) = 16x?? + 32x - 9?
Answers
Answer:
f(x) = 16x2 + 32x - 9
To find the "zeros", set f(x) = 0:
0 = 16x2 + 32x - 9
The equation is solvable by factoring or by using the quadratic formula. The factors (use the "ac" method) are:
0 = (4x-1)(4x+9)
x = 1/4 = 0.25 and x = -9/4 = -2.25
Step-by-step explanation:
The zero of the quadratic function f(x) = 16x² + 32x - 9 is x = -2.25. Thus, the correct answer is option B.
To find the zero of the quadratic function f(x) = 16x² + 32x - 9, we need to solve the equation f(x) = 0.
Setting the equation equal to zero:
16x² + 32x - 9 = 0
To solve this quadratic equation, we can use the quadratic formula:
[tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
For our equation, the coefficients are:
a = 16
b = 32
c = -9
Substituting these values into the quadratic formula:
[tex]x = \dfrac{-32\pm\sqrt{32^2-4\times16\times-9}}{2\times16}\\\\x=\dfrac{-32\pm \:40}{32}\\\\x=\dfrac{-32+40}{32},\dfrac{-32-40}{32}[/tex]
Simplifying further:
x = 8 / 32
= 1/4
= 0.25
x = -72 / 32
= -9/4
= -2.25
Therefore, the zero of the quadratic function f(x) = 16x² + 32x - 9 is x = -2.25.
Learn more about quadratic function here:
brainly.com/question/14083225
#SPJ2
The complete question is as follows:
Which is a zero of the quadratic function f(x) = 16x² + 32x - 9?
A. x = -5.25
B. x = -2.25
C. x = -1.25
D. x = -0.25
Find the volume of this triangular prism. NO LINKS
Answers
Answer:
306 [tex]ft^{2}[/tex]
Step-by-step explanation:
Formula for triangle: bh/2
2 (8*9/2) = 72
Formula for rectange: bh
8*9 = 72
2(9*9) = 162
Add: 72 + 72 + 162 = 306
Parker invests money in an account paying a simple interest of
1.1% per year. If he invests $110 and no money will be added or
removed from the investment, how much will he have in one
year, in dollars and cents?
Answers
Answer:
111.21
Step-by-step explanation:
Took the test
Complete the sentences to describe the function f(x) = 2x^2+16x/16x^3-x the function is discontinus at
Answers
Answer:
The answer is "[tex]\bold{\frac{2(x+8)}{(4x^2- 1)(4x^2+ 1)}}[/tex]".
Step-by-step explanation:
[tex]\to f(x) = \frac{2x^2+16x}{16x^3-x}[/tex]
[tex]= \frac{2x(x+8)}{x(16x^2-1)}\\\\= \frac{2(x+8)}{(16x^2-1)}\\\\= \frac{2(x+8)}{((4x)^2-(1)^2)}\\\\= \frac{2(x+8)}{(4x^2- 1)(4x^2+ 1)}\\\\[/tex]
Answer: the function is discontinuous at x=0
To create the extended function add f(x)=0,x=0
Step-by-step explanation:
What is the answer??
Answers
Answer: .41+.34=.75
Step-by-step explanation:
What are the coordinates of point X?
(1,3)
(3, -1)
(3,1)
(-1, -3)
Answers
(x, y) to (y, -x)
So it would be (1, 3)
Select all the correct answers.
The function represents the cost in dollars of playing a video game in terms of time spent playing in months.
y = 15x +45
What can you interpret from this function?
It costs $15 a month to play the video game.
There is an initial cost of $45 to play the video game.
There is an initial cost of $15 to play the video game.
It costs $45 a month to play the video game.
The y-variable represents the cost in dollars, and the x-variable represents the number of months.
The y-variable represents the number of months, and the x-variable represents the cost in dollars.
Answers
Answer:
It costs $15 a month to play the video game.
The initial cost is $45.
The y-variable represents the cost in dollars.
The x-variable represents the number of months.
Step-by-step explanation:
If you break the function down, you're going to have:
Total = Monthly Cost + Initial Cost
In this case, 15x is your monthly cost, as you can think of x as the number of months meaning:
15 for the first month (x = 1)30 for the second month (x = 2)45 for the third month (x = 3), and so onOur initial cost is always going to be a set amount, thus our constant, $45.
This leaves y as our total, which makes sense, as it's all alone on one side of the equation, where as all the costs are bunched together on the right side.
Hope this helps!
There are 26 gold fish in the tank at the store. How many ways can Ben choose five?
Answers
Answer:
65,780 im pretty sure
Step-by-step explanation:
condense the expression
Answers
Answer:
log 5= √16
________
x^3 y^4
im giving brainlist away.......
Answers
Answer:
The time in minutes needed to drain the bathtub completely
Step-by-step explanation:
The decreasing graph shows the water being drained over a period of time.
The red line shows the starting amount of water in inches and the final point where there is no more water left in the tub.
HELP ME
whoever gets right gets brainly
Picking a diamond from a standard deck of playing cards which has 13 cards in each of four suits: spades, hearts, diamonds, and clubs
not improper fraction
(math)
Answers
Answer: 1/4 chance of picking a diamond
Step-by-step explanation:
13 spades + 13 hearts + 13 diamonds + 13 clubs = 52 total
so 13/52 or 1/4
If you need points what is 5 + 5 + 9 + 9 =
Answers
Answer:
28
Step-by-step explanation:
5+5=10
9+9=18
10+18=28
Please answer this question
Answers
Solve the equation below.
d/1.2 = 6
Answers
D=7.2
Step-by-step explanation:
To be honest I cant give you an explanation bc i used a calculator. Sorry
1. The rectangle shown is dilated by a scale factor of 3.
Calculate the length of each side of the dilated image.