16. Physical Science A ball is dropped from a
height of 500 meters. The table shows the height
of each bounce, and the heights form a geometric
sequence. How high does the ball bounce on the
8th bounce? Round your answer to the nearest
tenth of a meter.
Answers
Ball will bounce 83.9 meters high on the 8th bounce.
Geometric sequence:
nth term of a geometric sequence is given by the expression,[tex]T_n=ar^{n-1}[/tex]
Here, [tex]a=[/tex] First term
[tex]r=[/tex] Common ratio in each term
[tex]n=[/tex] Number of term
From the table attached,
First term [tex]a=400[/tex] meters Common ratio [tex]r=\frac{\text{Second term}}{\text{First term}}[/tex][tex]=\frac{320}{400}[/tex]
[tex]=0.8[/tex]
8th term of the sequence will be,
[tex]T_8=400(0.8)^{8-1}[/tex]
[tex]T_8=83.886[/tex]
[tex]\approx 83.9[/tex] meters
Find out more information about geometric sequence here;
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Related Questions
MATH math help thanks (pls provide workings)
Answers
Answer:
At the point where x = 2.
Step-by-step explanation:
First find the derivative which gives us the gradient of the tangent at any point on the curve:
y = 5x^2 - 16x
y' = 5*2 x^(2-1) - 16 x(1-1)
y' = 10x - 16.
y' is the gradient at point of coordinate x.
So when the gradient = 4:
4 = 10x - 16
10x = 20
x = 2.
Answer:
x=2
Step-by-step explanation:
If using the method of completing the square to solve the quadratic equation
22 + 15x – 11 = 0, which number would have to be added to "complete the
square"?
Answers
Answer:
Step-by-step explanation:
Let's solve your equation step-by-step.
22+15x−11=0
Step 1: Simplify both sides of the equation.
22+15x−11=0
22+15x+−11=0
(15x)+(22+−11)=0(Combine Like Terms)
15x+11=0
15x+11=0
Step 2: Subtract 11 from both sides.
15x+11−11=0−11
15x=−11
Step 3: Divide both sides by 15.
15x
15
=
−11
15
x=
−11
15
Answer:
x=
−11
15
Help I'm justing learning about this and I don't know what to start or do
Answers
Helen goes into a shop.
She wants to buy 2 shirts and a pair of shorts,
Each shirt costs £24.50
The pair of shorts costs £18.90
Helen only has £70 to spend,
Does Helen have enough money to buy the 2 shirts and the pair of shorts?
Answers
Answer:
yes
Step-by-step explanation:
2*24.50=49 (two shirts)
18.90 (pair of shorts)
49+18.90=67.90
she can spend 70, means she can buy all of those and she still has 2.10
WILL MARK YOU BRAINLIEST
Answers
Answer:
ABCD is a rhombus => AC is perpendicular with BD
=> AC = 2(2n + 5) = 30
<=> 2n + 5 = 15
=> n = 5
with n = 5 => AC/2 = 15
BD/2 = 4.5 - 3 = 17
BC² = (AC² + BD²)/4 = 514/4 = 128.5
=> BC = 11.34
Answer:
Step-by-step explanation:
The question is what does 2n + 5 represent? Is it 1/2 the line or all of AC. There seems to be a run on ambiguous questions. I'm going to assume that 2n + 5 is AC -- all of it. And 4n-3 is all of BD.
AC = 30
2n + 5 = 30 Subtract 5 from both sides.
2n = 30 - 5
2n = 25 Divide by 2
n = 25/2
n = 13.5
====================
BD = 4n - 3
BD = 4*13.5 - 3
BD = 54 - 3
BD = 51
Answer to get marked brainiest!
Answers
Answer:
D
Step-by-step explanation:
a certain bacteria populations doubles in size everyday. Suppose a sample starts with 500 bacteria. write an expression that models the number of bacteria in the same sample after x days. Evaluate the expression for x=0,2,and 5
Answers
Answer:
16,000
Step-by-step explanation:
16,000 - answer
using the parent function f(x) = 2^x, write the new function, g(x), that transforms f(x) by shifting 6 units up
Answers
Answer:
g(x) = 2^x + 6Step-by-step explanation:
Parent function:
f(x) = 2^xTranslation 6 units up:
g(x) = f(x) + 6or
g(x) = 2^x + 6The width of a rectangle is 2 inches smaller than its length. The perimeter is 24 inches. Find the length and width of the rectangle.
Answers
Answer:
7 inches and 5 inches
Step-by-step explanation:
The length the length and width of the rectangle be l and b.
Accodrding to question,
Width, b = l-2
Perimeter, P = 24 inches
We know that,
The perimeter of a rectangle is given by :
P = 2(l+b)
24 = 2(l+l-2)
12 = 2l-2
14=2l
l = 7 inches
Width, b = 7-2 = 5 inches
Hence, the length and width of the rectangle are 7 inches and 5 inches respectively.
Choose the triangle in which angle 2 is not an exterior angle.
help me...new freinds?
Answers
Answer:
The third triangle
Step-by-step explanation:
The Exterior Angle is the angle a side of a shape and a line extended from the side next to it.
So for example, the first picture shows an exterior angle because a line was extended and it forms an angle with the triangle's side.
The second picture is still an exterior angle because the angle is formed with an extended line and the triangle's side.
The third photo shows an angle formed between a random line and the triangle's side. This is not an exterior angle because the angle is not formed with any side's extension.
The fourth photo is an exterior angle because it shows the angle being formed with an extension of a line from the triangle and a side of the triangle.
Hope this helps! Feel free to ask any questions! :)
Answer:
C the third triangle. Hope this helps
Step-by-step explanation:
Determine m∠DFG :))))
Answers
=========================================================
Explanation:
We can apply the remote interior angle theorem.
The exterior angle DFG is far away from the remote interior angles FGH and GHF. In other words, the exterior angle is not adjacent to these remote interior angles.
The remote interior angles add to this exterior angle.
(angle FGH) + (angle GHF) = angle DFG
(89) + (5x-7) = 14x+1
5x + 82 = 14x + 1
82-1 = 14x-5x
81 = 9x
9x = 81
x = 81/9
x = 9
If this is the case, then,
angle DFG = 14*x+1 = 14*9+1 = 127
Gavyn drives at a speed of 50 miles per hour how long will it take to drive 225 miles
Answers
Answer:
:4.5 hoursStep-by-step explanation:225 divided by 50 = 4.5
Answer:
its 4 hours and 30 minutes
Step-by-step explanation:
if 50 is equvalemt to 1 hour then 225 divide by 50 then the answer was 4.5 and the 4.5 is equal to 4 hours and 30 minutes
mark me
What is the product of (–8.2)(1.9)?
–15.58
–6.3
6.3
15.58
Answers
Answer:
-15.58
Step-by-step explanation:
Answer:
-15.58
Step-by-step explanation:
Multiply the traditional way
-8.2
x1.9
-------
738
820
----------
15.58
But because you're multiplying a positive and a negative, the answer will be negative leaving you with (-15.58)
Ryan bought a brand new car for $18,000. Its value depreciated at a rate of 1.2%.
Write a function to represent the value of the car as a function of time.
A. v(t)=18000(0.012)^t
B.V(t)=18000(1.2)^t
C.v(t)=18000(98.8)^t
D(t)=18000(0.988)^t
Answers
Answer:
A(t)= 18000(0.988)^t
Step-by-step explanation:
Given data
Ryan bought a brand new car for $18,000
Its value depreciated at a rate of 1.2%
Let us use the compound expression
A= P(1-r)^t
substitute
A= 18000(1-0.012)^t
A(t)= 18000(0.988)^t
Hence the expression is A(t)= 18000(0.988)^t
A function to represent the value of the car as a function of time is v(t) = 18000(0.988)^t
Exponential functionThe standard exponential equation is in the form y = ab^x
b is the rate which can be growth or decline
If the value of b < 1, it is a depreciationIf the value of b > 1, it is an appreciationIf Ryan bought a brand new car for $18,000 and its value depreciated at a rate of 1.2%, the exponential equation represented by this statement is;t
v(t) = 18000(1-0.0012)^t
v(t) = 18000(0.988)^t
Hence a function to represent the value of the car as a function of time is v(t) = 18000(0.988)^t
Learn more on exponential function here: https://brainly.com/question/12940982
Can y’all help with this question plz
Answers
if I had 10 cookies and promised my friend to give them 2 how many cookies will i have
Answers
Answer:
8 cookies
Step-by-step explanation:
edit one:the answer was 10 cookies, so please go give the person who said 10 cookies first some thanks/brainliest.
edit two:https://brainly.com/app/profile/31525083 is the user who got it first. Check comment if you are gonna say they didn't.
Answer:
8 cookies
Step-by-step explanation:
Well, we can use simple subtraction to answer this problem. You have 10 cookies, and you give away 2, you need to subtract 10 cookies by 2:
10 - 2 = 8
Therefore, you will have 8 cookies left.
Hope this helps :)
The price of a watch was increased by 20% to £198
What was the price before the increase?
Answers
Hope it helps
Read the following bar graph and answer the following related questions :
a) Who got the maximum marks?
b) Who got the minimum marks?
c) The ratio between the marks obtained by Saroj and Vimla is _______.
d) How many girls have got marks of more than 100?
Answers
Answer:
who got the maximum marks? it would have been apala she got the high mark
Solve for xxx. Your answer must be simplified. -4+x≤9
Answers
Answer:
x≤13
Step-by-step explanation:
-4+x≤9
Add 4 to each side
-4+4+x≤9+4
x≤13
Answer:
x≤13
Step-by-step explanation:
khan
2[(483 2 - 151] help
Answers
Answer:
1630
Step-by-step explanation:
Hope this helps
the perimeter of a square is 7.2 meters how long is each side ?
Answers
Answer:
1.8 meters
Step-by-step explanation:
7.2÷4= 1.8
Answer:
1.8 m
Step-by-step explanation:
let side be 'a'.
perimiter of a square = 4(a)
7.2 = 4(a)
7.2/4 = a
therefore, a = 1.8 m.
The total cost y varies directly with the number items x sold. Write a direct variation equation if
the item cost $2.35.
Answers
Answer:
xy = 2.35
Step-by-step explanation:
WILL MARK YOU BRAINLIEST
Answers
Answer:
5
Step-by-step explanation:
2(5) + 5 = 15
A toll road company has two plans for customers. One plan charges $10 per month for rental of a transponder (a box that identifies your car on the toll roads) plus $0.60 per mile driven. The second plan does not require that you rent a transponder. Instead, it charges customers $0.75 per mile driven on the toll road. Find the minimum number of miles you would need to drive in a month to make the first deal a better deal.
Answers
Answer:
The minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.
Step-by-step explanation:
For the first deal to be a better deal it has to cost less than the second plan and you can write an equation in which the first plan has a lower cost than the second one:
10+0.60m<0.75m, where:
m is the number of miles driven
Now, you can solve for m:
10<0.75m-0.60m
10<0.15m
10/0.15<m
m>66.6
According to this, the answer is that the minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.
The boiling point of water is 212 degrees. To make a cup of tea, water is boiled, poured into a mug with tea leaves, and set to steep for 4 minutes. In that time, the temperature of the tea reduces to 115 degrees when it is in a room that is 68 degrees. Write an equation for the cooling curve of the tea in this particular room. Round parameters to the nearest 6th decimal place.
Answers
Answer:ugh is there an picture maybe i can understand it better?
Step-by-step explanation:
help please. 10 points to who help me
Answers
9514 1404 393
Answer:
64/109 ≈ 0.5872
Step-by-step explanation:
41 + 23 = 64 of the events have outcome E.
An additional 35 + 10 = 45 do not.
The probability of an outcome of E is 64 out of a total of 64+45 = 109 events.
P(E) = 64/109 ≈ 0.5872
For a theater play, the school sold 120 blue tickets for students and 80 red tickets for adults. What percent of the tickets were sold to students?
Answers
Answer:
Step-by-step explanation:
120+80=200 the total number of tickets
120(student tickets) ÷ 200 (total tickets)= .6 =60%
Answer:
bin
Step-by-step explanation:
bghgghhshshsbabbsnajswjjegvrjrjrhrbrhrriritt
Which are linear pairs? AngleBAC and AngleCAE AngleCAE and AngleBAF AngleCAE and AngleFAE AngleCAF and AngleBAE AngleFAD and AngleEAD
Answers
A and C
A- AngleBAC and AngleCAE
C-AngleCAE and AngleFAE
Step-by-step explanation:
Edg2021
Answer:
The answer is A. AngleBAC and AngleCAE and C. AngleCAE and AngleFAE
Step-by-step explanation:
Got it right on the assignment.
The measure of angle ABD is 105º. The measure of angle ABC is 75º. What is the measure of angle CBD? A 75° B >C ? D 1>) 170° 1) 30° 1) 25° 1) 180°
Answers
105-75=30°
djdhshshe
rewrite in a simpler equivalent form and solve
Answers
Here’s a more clear explanation I found :)) have a good day