Answer:
[tex]H=20(0.8)^{n}[/tex]
Step-by-step explanation:
So, lets just go over this step by step and make sense of it.
20 clearly must be what we start with, and as you see in your answers, all of them have that as the number you multiply the parethese by.
Its what next that we dont know about.
We know that the ball rebounds 80% of its previous height.
It for sure cannot be a or d because a would mean that it would only rebound 20% of its height, and d would mean that it rebound 180% of its height.
Its now between b and c.
Lets just think about it.
Pull out your calculator or pull it up on your electronic. Multiply 10 by 0.9. This will get you 9. Multiply 9 again by 0.9, and youll get 8.1.
What did we actually do there? We did 10*0.9^2
Pull out your calculator again and try 10* 0.9^2. Youll see that 0.9 squared is 0.81. This times 10 is 8.1, and that is exactly what you got before.
Understanding this, it is clear that we must use an exponent to fidn future values.
In answer b, it shows that you can just multiply by n.
In answer c however, it uses n as an exponent, which is the correct thing to do.
So c is your answer.
The actual formula for this is: [tex]first_.term(change)^t^e^r^m ^[/tex]
The first term in this case is the first height, which is 20. The change is a rebound of 80%(0.8).
The term is just n, but in most problems n is time.
Hope this helps!
Two chords intersect in the interior of a circle. One chord is divided into two segments measuring 8 units and 9 units. The other chord is
divided into two segments, one of which measures 3 units.
What is the measure of the other segment?
Answer:
Step-by-step explanation:
1. When two chords intersect each other inside a circle, the products of their segments are equal. ... One chord is cut into two line segments A and B. The other into the segments C and D. This theorem states that A×B is always equal to C×D no matter where the chords are.
2. If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle . In the figure, m∠1=12(m⌢QR+m⌢PS) .
3. The intersecting chords theorem or just the chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal.
use the given circle to find the values of x, y and z
Answer:
x=10 y=90 z=20
Step-by-step explanation:
help
x - y + z; when x = 10, y = 2 and z = 15
x^3 - 9; when x = 3
6.5 - n; when n = 1.8
what are the answers? I need help asap :(
Answer:
the first one is 23
the second 18
the third 4.7
Step-by-step explanation:
10-2+15 = 8+15 = 23
x³-9 = 3³-9 = 27-9= 18
6.5-n= 6.5-1.8= 4.7
answer?? please?? answer.
Answer:
1=65+72
=137 degrees,,,
how do i find the lateral area.
Answer:
lateral surface area(As)=2πrh or
=PH
Step-by-step explanation:
hope this helps :)
Which of the following is a rational number but not an integer?
74, 3/10, -25, or 170
Answer:
3/10Step-by-step explanation:
As,
Integers includes whole numbers, and negative of the whole numbers.
And Rationals includes every fraction, Integers and negative fraction.
So,
170, -25, and 74 are both Integers and Rationals.
But,
Only 3/10 is a fraction included only in rationals and not in Integers
what is the value of 2 X ?
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
1809.6
Step-by-step explanation:
Volume of a cylinder
V= pie* r ^2*h
Answer:
v = 1,809.56
Step-by-step explanation:
Formula=
V = Pi (3.14) r^2 h
pi 6^2·16
sarah read 20% of a book that was 150 pages long. how many pages did sarah read?
Sarah read 30 pages of the book
For the following right triangle, find the side length x. Round your answer to the nearest hundredth. X, 18, and 10
Answer:
152
Step-by-step explanation:
All segments in a triangle add to 180. 1
8+10+x=180
x=152
The length x using Pythagoras theorem is 15 unit.
What is Pythagoras theorem?According to the Pythagorean theorem, the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides.
Given:
Hypotenuse = 18 unit
Perpendicular = 10 unit
using Pythagoras theorem
H² = P² + B²
18² = 10² + B²
324 = 100 + B²
324 - 100 = B²
B² = 224
B= 14.966 unit
B= 15 unit
Thus, the measure for x is 15 unit.
Learn more about Pythagoras theorem here:
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James wants to draw a line diagonally across a rectangular piece of paper. If the paper measures 9 inches by 12 inches, what
is the minimum length of the straight edge he needs to make the line?
15 inches
21 inches
3 inches
108 inches
Ravi bought 3 pens and 4 notebooks for $28. Lola bought 4 pens and 8
notebooks at the same store for $52. How much does one notebook cost?
Answer:
5.50 Each
Step-by-step explanation:
Answer:
Step-by-step explanation:
3P + 4N = 28
6P+ 8N = 56
4P +8N 52
2P = 4
P = 4/2 = 2 = $2
3(2)+4N = 28
4N = 28-6=22
N = 22/4 = 5.5= $5.50= cost of one notebook
Determine the intercepts of the line
y= 4x + 7
x-intercept: (____,___)
y-intercept: (____,___)
[tex] \huge\mathfrak{ \underline{Answer : }}[/tex]
The equation of line is
[tex] \hookrightarrow \: y= 4x + 7 [/tex]
let's plug the value of " x as 0 " to find the coordinate of y at the " x - intercept "
[tex]y = 4x + 7[/tex][tex]y = (4 \times0 ) + 7[/tex][tex]y = 7[/tex]therefore, the coordinates of x- intercept are :
[tex] \large \boxed{(0,7)}[/tex]
now, let's plug the value of " y as 0 " to find the coordinate of x at the " y - intercept "
[tex]y = 4x + 7[/tex][tex]4x + 7 = 0[/tex][tex]4x = - 7[/tex][tex]x = \dfrac{ - 7}{4} [/tex]therefore, the coordinates of y - intercept are :
[tex] \boxed{ \bigg( \frac{ - 7}{4} ,0 \bigg)}[/tex]
___________________________________
[tex] \mathrm{✌TeeNForeveR✌}[/tex]
help asap!!!!!!!! i’ll mark as brainlist
Answer:
c and d
Step-by-step explanation:
Which phrase correctly represents the algebraic expression 3t?
A. The sum of three and a number.
B. The product of three and a number.
C. The quotient of three and a number.
D. The difference of three and a number.
Given three squares of different areas, the perimeter of square A 2/3 the perimeter of square B and the perimeter of square B is 2/3 the perimeter of square C. if the area of Square A is 16 square units, what is the area of square C?
I’ll mark BRAINLIEST the first to answer my question :)
Area of square A = 16 cm
side of square A a1 = 4cm
side of square A = 2/3(2/3a3)
a1= 4/9a3
a3 = 9cm
Area of square C = 9×9= 81 Cm²
I need this question need done asap
Answer: The answer to this is 7.
H² = B² + P²
(25)² = (24)² + p²
625 = 576 + p²
p² = 49
p = 7
Find the area of this semi-circle with diameter 18
Give your answer rounded to 2 DP.
Step-by-step explanation:
diameter(d): 18
radius(r): 18 ÷ 2 = 9
area of a semi-circle:
[tex]\frac{\pi {r}^{2}}{2}[/tex]
[tex]= \frac{\pi \times 9 \times 9}{2} = 127.23[/tex]
How many \frac{1}{2} 2 1 - pound packages of cheese can the deli make with 1212 pounds of cheese?
Given:
Total cheese = 12 pound
Cheese in each package = [tex]\dfrac{1}{2}[/tex] pounds
To find:
The number of cheese packages.
Solution:
We need to divide the total amount of cheese by quantity of cheese in each package to find the the number of cheese packages.
[tex]\text{Number of cheese packages}=\dfrac{\text{Total cheese}}{\text{Cheese in each package}}[/tex]
[tex]\text{Number of cheese packages}=\dfrac{12}{\dfrac{1}{2}}[/tex]
[tex]\text{Number of cheese packages}=12\times \dfrac{2}{1}[/tex]
[tex]\text{Number of cheese packages}=24[/tex]
Therefore, there are 24 number of cheese packages.
Which represents the explicit formula for the arithmetic sequence on = 7 - 3(n - 1) in function form?
f(n) = 3n - 6
B f(n) = -3n - 6
f(n) = 3n - 10
D f(n) = -3n + 10
Answer:
Step-by-step explanation:
All this question is asking you to do is distribute through the parenthesis to simplify. Doing that gives us
f(n) = 7 - 3n + 3 and
f(n) = 10 - 3n or
f(n) = -3n + 10, choice D.
The representation of the function of the given arithmetic sequence 7 - 3(n - 1) is f(n) = -3n + 10 thus option (D) is correct.
What is a function?An arrangement known as a function connects inputs to essentially one output.
The machine may only produce one output for each input and will only accept inputs that are specifically listed as part of the function's domain.
As per the given,
a_n = 7 - 3(n - 1)
f(n) = 7 - 3n + 3
f(n) = -3n + 10
Hence "The representation of the function of the given arithmetic sequence 7 - 3(n - 1) is f(n) = -3n + 10".
For more about the function,
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What is the volume of a cone that has a height of 10 feet and a base with a surface area(B) of 9 square feet?
Answer:
30 cubic feet
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
Height of cone (h) = 10 feet
Base surface area = π[tex]r^{2}[/tex] = 9 sq. feet
So we can calculate the volume of cone by using following formula,
volume of cone = (1/3)π[tex]r^{2}[/tex]h
By putting the value in the formula, we get
Volume of cone = (1/3) 9 × 10
= 3 × 10
= 30 cubic feet
HELPP!! Points A and B are on the different sides on line l, the distance between point A and the line l is 10 in, the distance between point B and line l is 4in. What is the distance between the midpoint O of the segment AB and the line l?
Answer:
7
Step-by-step explanation:
each way from 10 to 7 is 3 and 4 to 7 is 4
The cost of 9 trousers is $72 . Find the cost of 12 trousers
Answer:
x=96
Step-by-step explanation:
We can solve by writing ratios
9 trousers 12 trousers
------------------- = ----------------------
72 dollars x dollars
Using cross products
9x = 12 *72
9x =864
Divide by 9
9x/9 = 864/9
x=96
Please help me solve this!
the answer would because its 118
The input or values that you could put into an expression or
equation.
Answer: Domain
Step-by-step explanation: I just did this question, and got it correct by putting domain.
The input or values that you could put into an expression or
equation is called a Domain
What is range and domain of a function?
Domain is set of values in a function . The range of the function is the set of values that the function assume .
Since , domain refers to the set of possible input values , it consists of all the input values shown on the x axis .
The input or values that you could put into an expression or
equation is called a Domain
learn more about Domain:
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please help me on thiss
Answer:
-1.2
Step-by-step explanation:
3n + 5 = 1/2(11n + 16)
3n + 5 = 5.5n + 8
5 = 2.5n + 8
-3 = 2.5n
-3/2.5 = n
-1.2 = n
Hope this helps!
Answer:
[tex]n=-1.2[/tex]
Step-by-step explanation:
First, solve both sides of the equation:
[tex]3n+5=\frac{1}{2} (11n+16)[/tex]
[tex]3n+5=(\frac{1}{2} )(11n)+(\frac{1}{2} )(16)[/tex] (Distribute)
[tex]3n+5=\frac{11}{2} n+8[/tex]
Then, subtract 11/2 n from both sides:
[tex]3n+5-\frac{11}{2}n=\frac{11}{2} n+8-\frac{11}{2} n[/tex]
[tex]\frac{-5}{2}n+5=8[/tex]
Now, subtract 5 from both the sides:
[tex]\frac{-5}{2} +5-5=8-5[/tex]
[tex]\frac{-5}{2} n=3[/tex]
For the last step, multiply both the sides by 2 / -5
[tex](\frac{2}{-5} )*(\frac{-5}{2} )=(\frac{2}{-5} )*(3)[/tex]
[tex]n=\frac{-6}{5}[/tex]
Convert it to decimal:
[tex]n=-1.2[/tex]
What is the average rate of change for this exponential function for the interval from x = 7 to x = 8?
Answer:
4374
Step-by-step explanation:
Since, we are given table for x and y values
and table for average rate of changes
we can see the pattern of average rate of change
average rate of change for 5 to 6 is three times average rate of change for 4 to 5
but we have to find
average rate of change for 7 to 8
so, using same pattern
average rate of change for 6 to 7 is three times average rate of change for 5 to 6
average rate of change for 7 to 8 is 3*3( average rate of change for 5 to 6)
so, we can plug value
average rate of change for 7 to 8 is 3*3*486
average rate of change for 7 to 8 is 4374
3x + 2 6x - 20 Enter
Answer:
=3x+26x-20
=29x-20
Hope this helps! have a great day ahead! :D
Answer:
= 29x-20
Step-by-step explanation:
= 3x + 2 6x - 20
= 29x-20
Hope this answer helps you :)
Have a great day
Mark brainliest
How many t-shirts did the company purchase if their total cost was $100? Explain how you found your answer.
Por favor ayudenme con explicacion
Answer:
NA
a = 53
Step-by-step explanation:
A bisector creates two equal angles. Set them equal to each other.
5a - 160 = 2a - 1 ( subtract 2a from both sides)
3a = 159 (add 159 to both sides)
a = 53 (divide by 3)