Answer: You can't expect everybody to do your work for you. I thought It was 1 question and that's a whole packet. At least look it up on the internet or go ask your parents/siblings. Im not tryna be rude but If I could help you, I would but there are too many questions. Sorry.
Step-by-step explanation:
Rohan dropped a lacrosse ball from a building.
After each bounce, the height of the ball is measured and recorded in the table.
Bounce Number Height (cm) After Bounce
1 10,240
2 2,560
3 640
4 160
Write an explicit and recursive formula to represent the sequence of the height of the ball after each bounce.
What is the height of the ball after bounce 8? Explain your answer by using one of the formulas you created.
Answer:
The nth bounce a sub n is 0.25 (a sub n-1)
0.625 cm
Recursive formula of the sequence → [tex]T_n=10240(\frac{1}{4})^{n-1}[/tex]
Explicit formula of the sequence → [tex]T_1=10240, \\T_{n+1}=T_n(0.25)[/tex]
Height of the ball after 8th bounce will be 0.625 cm.
Geometric sequence and its explicit and recursive formula,If a sequence is in the form of [tex]ar,ar,ar^2,ar^3.....[/tex] n terms,Sequence will be the geometric sequence and the explicit formula
of the sequence will be,
[tex]T_n=ar^{n-1}[/tex]
Here, [tex]a=[/tex] First term
[tex]r=[/tex] Common ratio
[tex]n=[/tex] Number of terms
Similarly, recursive formula will be,[tex]a=[/tex] First term
[tex]T_{n+1}=T_n(r)[/tex]
From the table attached,
There is common ratio between the successive term and previous term under the column (height after the bounce) is,
[tex]\frac{T_2}{T_1}=\frac{2560}{10240}=\frac{1}{4}[/tex]
[tex]\frac{T_3}{T_2}=\frac{640}{2560}=\frac{1}{4}[/tex]
Therefore, height of the ball after each bounce will represent a geometric sequence.
Explicit formula of a geometric sequence will be given by the expression,
[tex]T_n=10240(\frac{1}{4})^{n-1}[/tex]
Recursive formula for the sequence will be,
[tex]T_1=10240[/tex]
[tex]T_{n+1}=T_n(\frac{1}{4})[/tex]
By using recursive formula,
Height of the ball after 8th bounce,
[tex]T_8=10240(\frac{1}{4})^{8-1}[/tex]
[tex]=10240(0.25)7[/tex]
[tex]=0.625[/tex] cm
Therefore, explicit formula to represent the height of the ball will be [tex]T_n=10240(\frac{1}{4})^{n-1}[/tex]recursive formula will be, [tex]T_1=10240\\T_{n+1}=T_n(0.25)[/tex]
And height of the ball after 8th bounce will be 0.625 cm.
Learn more about the geometric sequence here,
https://brainly.com/question/25250161?referrer=searchResults
guys, please help me!!!!!! I'll give you brainly and a ton of points!
Answer:
31
Step-by-step explanation:
62 / 2 = 31
Answer:
31
Step-by-step explanation:
angle is half of arc
 What is the volume of this cone?
Answer: C
Step-by-step explanation:
Need help please!!!! Brainiest if answered correctly!!!! No link, it will be reported!!
What’s the answer to the question -7x + 15 = 36
Answer:
x= -3
Step-by-step explanation:
-7x +15 - 15 = 36 - 15
-7x = 21
-7x ÷ -7 = 21 ÷ -7
x= -3
Answer:
Um.....
-3
Sorry if calculated wrong..
A line of best fit for a data set has equation y = 3x - 4. What y-value would you predict for an x-value of 8 in this data set?
A 4
B. 8
C. 16
D. 20
Answer:
D. 20
Step-by-step explanation:
The line of best fit for the equation is:
[tex]y = 3x - 4[/tex]
When x = 8
We have to find y. So
[tex]y = 3*8 - 4 = 24 - 4 = 20[/tex]
So the correct answer is given by option D.
7.
If cos θ= 0.866, find θ, writing your answer to the nearest degree.
See attachment for reply and answer.
Michael breeds chickens and ducks.
Last month, he sold 50 chickens and 30 ducks for $550. This month, he sold 44 chickens and 36 ducks for $532.
How much does a chicken cost, and how much does a duck cost?
A chicken costs $_____ and a duck costs $_____.
Answer:
Chicken:$8 Ducks:$5
Step-by-step explanation:
Let's assume
Chickens= c
Ducks=d
50c + 30d = 550 (divide this by 10)--- 5c+3d=55
44c + 36d = 532 (divide this by 4)--- 11c+9d=133
Solving simultaneously:
5c + 3d = 55 (x9)
11c + 9d = 133 (x3)
45c + 27d = 495
33c + 27d = 399
By subtraction we get:
(45c-33c+27d-27d)= 96
12c = 96
Chicken = $ 8 (96/12)
Ducks: 50(8)+ 30d = 550
30d = 150
Ducks = $5 (150/30)
DO NOT ANSWER IF YOU ARENT GOING TO HELP
Answer:
The four small cones combined will hold more ice cream than the big one.
Step-by-step explanation:
A ship at sea is 70 miles from one radio transmitter and 130 miles from another. The bearing from the ship to transmitter 1 is N38.1°E and the bearing to transmitter 2 is S 22.4°E . Find the distance between the two transmitters.
Answer:
volved with elements and compounds composed of atoms, molecules and ions: their composition, structure, properties, behavior and the changes they undergo during a reaction with other substances.
Determine whether the Law of Cosines or the Law of Sines is needed to solve the triangle a = 11, b = 13, c = 7
Answer:
Step-by-step explanation:
Use the Law of Cosines:
c^2 = a^2 + b^2 - 2ab*cos C becomes
7^2 = 11^2 + 13^2 - 2(11)(13)cos C.
Once you have cos C, and then side c, you can use the Law of Sines to find the other two interior angles.
Solve this system of equations: (picture is there)
List the solution (x,y) for this set of systems of equations and then explain how you found the solution.
Step-by-step explanation:
[tex](x...y = (2...4)| [/tex]
Answer:
x = 2, y = 4
Step-by-step explanation:
We can solve the system of equations using substitution. (We can't use elimination for a problem like this because there's no addition or subtraction in the first equation, and besides, it would make it longer.)
Replace the y value in [x = -y + 6] with "2x", because y = 2x.
x = -2x + 6
From there, we can solve the linear equation.
x = -2x + 6
add 2x to both sides
3x = 6
divide by 3
x = 2
From x, we can also figure out what y equals.
Replace the x value in [y = 2x] with "2", because x = 2.
y = 2*2
y = 4
x = 2 and y = 4
I’m on a time limit and I really have no clue what this is. Please help!!!!
Answer:
2/8
Step-by-step explanation:
I think, I am not sure
Answer YES if is a Right Triangle or NO if is not
Prove that each example below is a Pythagorean triple.
Part A: 77,420,427
Select)
Part B: 279,440,521
Select)
Part C: 39,760,761
[Select
HELP PLEASEEE
Answer:
Part A: yes
Part B: yes
Part C: yes
Step-by-step explanation:
Part A:
77² + 420² = 427²
5,929 + 176,400 = 182,329
182,329 = 182,329
---------------------------------------------------------
Part B:
279² + 440² = 521²
77,841 + 193,600 = 271,441
271,441 = 271,441
----------------------------------------------------------
Part C:
39² + 760² = 761²
1,521 + 577,600 = 579,121
579121 = 579,121
----------------------------------------------------------
Dominic buys a 64-ounce container of salad mix. About how many ounces of romaine lettuce does the container have?
Answer:
6 oz
Step-by-step explanation:
https://brainly.in/question/28460456
Answer:
options on graph:
lceberg- 40%
romaine- 27%
spinash- 15%
arugula- 12%
carrots- 6%
answer is C. is 18oz.
Step-by-step explanation:
multiply 64 x .27%= 18oz
Fill in each blank with one of the three phrases: is less than, is equal to, or is greater than.
1,742 x 1.000 _______ 1,742
✧・゚: *✧・゚:* Answer: *:・゚✧*:・゚✧
✅ 1,742 x 1.000 > 1,742
I WOULD APPRICIATE BRAINLIEST!
~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡
~
Answer:
lessm than
Step-by-step explanation:
Find the area of a triangle with a base of 9 feet and hypotenuse length of 13 feet
Answer:
42.21 ft^2
Step-by-step explanation:
The formula: A=1 /2b √ c2﹣b2
c=hypotenuse
b=base
Just make sure to help me out when I need it. Thx!
Answer:
okay i will
Step-by-step explanation:
Write the equation for a circle with a center at (-7 , -4) and a radius of 2.
Answer:
(x + 7)² + (y + 4) ² = 2²
Step-by-step explanation:
Start with the standard equation of a circle with center at (h, k) and radius r:
(x - h)² + (y - k)² = r²
Here we are given that h = -7, k = -4 and r = 2, and so we obtain:
(x + 7)² + (y + 4) ² = 2²
Step-by-step explanation:
The answer is above, as well as the equation used to get to the answer.
Please help me on this
Answer:
c
Step-by-step explanation:
can someone please factor this expression 27/x³- 8
Answer:
(3x-2) (9xsquare+6x+4)
Answer:
Answer is below
Step-by-step explanation:
[tex]\frac{27}{x^{3} } -8= (\frac{3}{x})^{3} -2^{3} =(\frac{3}{x} -2)(\frac{9}{x^{2}}+\frac{6}{x}+4)[/tex]
( from formula (a³ – b³) = (a – b)(a² + b² + ab) )
what would the volume be if the diameter is 6 and the height is 8 of a cylinder in inches
Plss show all work step by step
Answer:
72π
Step-by-step explanation:
Please see the attached image. r is the radius and h is the height.
The radius is half the diameter, so it is 6/2=3.
The height is given, 8.
Knowing the radius is 3 and the height is 8, all we need to do is plug it into the formula.
Volume=π3^2*8
=72π
or
≈226.19
Tina bought a bracelet for $5.24 and a necklace for $9.89. What is her total cost?
Answer:
15.13
Step-by-step explanation:
can someone help me please?
Answer:
25/28 thats your answer
Hey, so I'm taking a test from k12 and I don't understand what's 36/12?
Answer:
if ur talking about 36 divided by 12 in terms of divison then its 3
Step-by-step explanation:
I don't know if im right though
In a 30% off sale, the price of an item is reduced by £27.
What is the original cost of the item?
Answer: the original cost of the item is 90$
Step-by-step explanation:
30% off of the item = 27$
27 dollar is 30% of the item
thus 27 = 0.30X
0.30X = 27
time both side by 10
3X = 270
270/3 = 90
If 3 is 1/4 what is the whole? (Division)
Answer:
12
Step-by-step explanation:
12 divided by 4 is 3 or 12 split into 4 even parts is 3
3. 3 3. 3
1/4. 1/4 1/4. 1/4
What is the value of x to the nearest tenth?
29.6
X
73°
33°
Harry has a cube with a side length of 7 cm. What is the volume of Harry's cube?
Given,
Side = 7 cm
We know that,
Volume of a cube = side³
So, volume of Harry's cube
= (7 cm)³
= 343 cm³
Hi, here's a quick explanation;
if the given length is 7, and your object is a cube,
you'd cube 7,
which is = 7³
aka: 7 × 7 × 7
therefore,
the answer is 343.Hope this helps you out!! :D
1.
A salesman earns $300 a week plus 20% of his sales. Which equation can be used to determine his
salary S if his weekly sales is x dollars?
Step-by-step explanation:
S = 300 x .20(x)
hope this helps