Answer:
[tex]T_n = 7.143(0.7^n)[/tex]
Step-by-step explanation:
If a ball bounces to a height of 5feet, the initial drop = 5feet
If the ball rebounds to 70% of its previous height after each bounce, the next height after rebouncing will be expressed as;
= 70% of 5
= 70/100 * 5
= 0.7*5
= 3.5 feet
The next height will be 0.7*3.75 = 2.45 and so on
The heights wil form a sequence as thus;
5, 3.5, 2.45...
This sequence forms a geometric progression.
To get the function that could be used to model the nth term in the sequence of heights of the ball after the initial drop, w will find the nth term of the sequence
[tex]T_n = ar^{n-1}[/tex]
a is the first term of the sequence
n is the number of terms
r is the common ratio
From the sequence:
a = 5
[tex]r = \frac{3.5}{5} = \frac{2.75}{3.5} = 0.7[/tex]
Substitute the given values into the formula
[tex]T_n = 5(0.7)^{n-1}\\T_n = 5(\frac{0.7^n}{0.7^1} )\\T_n = \frac{5}{0.7}\times 0.7^n \\T_n = 7.143(0.7^n)[/tex]
The nth tern=m required is [tex]T_n = 7.143(0.7^n)[/tex]
4 more than one third of a number n is 6. An equation is? The solution is n =?
Answer:
[tex]\frac{1}{3}[/tex]n + 4 = 6
6
Step-by-step explanation:
Given problem:
4 more than one third of a number n is 6
Unknown:
The equation = ?
Solution of the number = ?
Solution:
let the number = n
So, 4 more than one third of a number;
One third of n = [tex]\frac{1}{3}[/tex]n
4 more;
[tex]\frac{1}{3}[/tex]n + 4
is 6;
[tex]\frac{1}{3}[/tex]n + 4 = 6 (equation of the expression)
Let us now solve the equation:
[tex]\frac{1}{3}[/tex]n + 4 = 6
[tex]\frac{1}{3}[/tex]n = 6 - 4
[tex]\frac{1}{3}[/tex]n = 2
n = 6
How do I find the area of a triangle if I only have the angle and 1 side length?
Answer:
5.4
Step-by-step explanation:
Use the pythagorean theorem a^2 + b^2 = c^2
This diagram shows a pre-image A ABC, and its image,
AA"B" C", after a series of transformations.
Select from the drop-down menus to correctly complete the
statements.
A ABC is
4 to
reflected across the y-axis
become A A'B'C'. Then AA'B'C' is
Choose...
to become
A A"B" C". Because the transformations are
Choose...
the pre-image and image are
Choose...
ABC is rotated 90 degrees clockwise to become A'B'C'
A'B'C' is rotated 180 degrees clockwise to become A"B"C"
Answer:
ABC is reflected across the y-axis to become △A′B′C′. Then △A′B′C′ is rotated 90 degrees counterclockwise about the origin to become △A′′B′′C′′ . Because the transformations are both rigid, the pre-image and image are congruent.
Step-by-step explanation:
took the test
Simplify the expression using the order of operations.
(12 − 9)3 − 2 × 7 =
Answer:
-5
Step-by-step explanation:
Parentheses
Exponents
Multiply
Divide
Add
Subtract
(12-9)3-2x7=
(3)3-2x7=
9-14= -5
Answer:
-5 I used pemdas
Step-by-step explanation:
Brainliest please
A number line going from negative 3 to positive 5. An open circle is at 1.5. Everything to the right of the circle is shaded. Which symbol completes the inequality represented on the graph? z _____ 1.5 > Greater-than-or-equal-to < Less-than-or-equal-to
Answer:
>
Step-by-step explanation:
Which symbol completes the inequality represented on the graph?
z _____ 1.5
>
Greater-than-or-equal-to
<
Less-than-or-equal-to
The required inequality is given as Z Greater than or equal(≥) to 1.5.
Number line from -3 to 5 is given and a open circle at 1.5.
Right of the circle is shaded and the inequality for the shaded portion to be determine.
Inequality is when the equations contain [≤ , ≥ <, >] is termed as inequalities.
Here, in the given numerical shaded potion of Z is beyond 1.5 to the right so their must be an greater than equal to (≥) after z. i.e. z ≥ 1.5.
Thus, the required inequality is given as Z Greater than or equal(≥) to 1.5.
Learn more about Inequality here:
https://brainly.com/question/20383699
#SPJ2
HELP NEEDED ASAP WILL GIVE YOU BRAINLIEST AND 5 STARS RATE
Answer:
A) - .5
B) 7
C) - 2
Step-by-step explanation:
67. Find all points on the x-axis that are 5 units from the point
(4, -3).
Answer:(9,2) I assume I don’t really understand the question
Step-by-step explanation:
a^2+b^2=c^2
solve in terms of a
Step-by-step explanation:
a² + b² = c²
a² = c² - b²
√a² = √c² - √b²
a = c - b
What is the range of this data set?
A.) 53
B.) 60
C.) 100
D.) 40
Answer:
53 or A
Step-by-step explanation:
Range would be 75 - 22 = 53
Answer:
A
Step-by-step explanation:
this question is driving me nuts The rest says the right triangle
Answer:
C
Step-by-step explanation:
Pedro created the model below.
What percent is represented by the shaded region of the model?
Answer:
3% of 8%
Step-by-step explanation:
For me and Thomas uhh
Answer:
what does that question mean?
Derivative of 6^(4x)
Add step by step explanation
Answer:
4*6^4x ln(6)
Step-by-step explanation:
6^(4x)
6^4x
-d/dx[6^4x]
ln(6)*6^4x*d/dx[4x]
ln(6)*6^4x*4*d/dx[x]
4ln(6)*6^4x*1
4ln(6)*6^4x
4*6^4x ln(6)
PLZZZ HELP ME!!!
A company is selling hot air balloon rides to raise money for a children’s charity. the cost of going on a balloon ride is a flat rate of $50 and $15 per hour of flight time. Ms. Lopez plans to donate at most $85. Find the number of hours she can spend in the balloon ride. Round your answer to the nearest hour.
Answer:
2
Step-by-step explanation:
(85-50) / (15) = 35 / 15 = 2.33 hrs, round to the nearest hour that would be 2 hrs
A package of 4 pairs of insulated socks costs $27.96. What is the unit price of the pairs of socks?
The unit price is $ per pair of socks.
Answer:
1 pair of socks cost $6.99
Step-by-step explanation:
$27.96 divided by 4 = $6.99
Hope I helped :)
Please consider Brainliest :)
-8x + 14 = -2(4x - 7) what is the value of x
Answer:
Step-by-step explanation:
-8x + 14 = -2(4x - 7)
use the distributive property to get rid of the parentheses (-2 x 4x and -2 x -7) (negative times negative equals positive)
-8x + 14 = -4x + 14
subtract 14 on both sides to cancel out 14
-8x is not equal to -4x
although this may seem like a weird answer, if x is the same variable (pretend it's one) 1 multiplied with -8 will not equal 1 multiplied with -4
Answer:
all real numbers
Step-by-step explanation:
Given
- 8x + 14 = - 2(4x - 7) ← distribute parenthesis
- 8x + 14 = - 8x + 14
Since both sides are equal, then any real value of x is a solution of the equation.
What type of number is 114
Answer:
odd number
Step-by-step explanation:
am pretty sure
Answer:
114 is just like any other number. It is just bigger than anything lower than that number. They is no difference within this number and any other number.
Step-by-step explanation:
What expression that is equivalent to 6a+4b+c.
Answer:
do you need factor, combine like terms or simplify
negative - positive=
Answer:
Negative
Step-by-step explanation:
Ex 1. -3 - 2 = -5
Ex 2. -10 - 6 = -16
Hope this helps!
Plz answer these for me it’s timed
Answer:
Y=3x+5
Step-by-step explanation:
If f(x)=4^x-8 and g(x) =5x+6, find (f+g)(x)
Answer:
C
Step-by-step explanation:
(f + g)(x) = f(x) + g(x), then
f(x) + g(x)
= [tex]4^{x}[/tex] - 8 + 5x + 6 ← collect like terms
= [tex]4^{x}[/tex] + 5x - 2 → C
scientific notation of 26,00,000 is what
Answer:2.6*10^5
Step-by-step explanation:
Can someone Help explain this geometry question
Answer:
if you add it all up then divide it by the amount of numbers their are you'll get 22
Step-by-step explanation:
Graph the line through 2,3 that is Parallel to the line with the equation 3x-y=2
Answer:
y=3x-3
Step-by-step explanation:
first we turn in the stander from to y incept form
then you plug in the x and y, for time here, i am not goona put the steps more
msg me if you need steps
if y=60 when x=80, find x when y=-20.
Answer:
x= 26
Step-by-step explanation:
Im not sure but i had this same quistion on a quiz and i got it correct
what is the domain?
Answer:
[-5,5]
Step-by-step explanation:
Find the slope of (-2,1),(-2,2)
Answer:
there is no slope its undefined
Step-by-step explanation:
Find the value of pq - r/4 when p= -8 and q= -3 and r= 68
Answer:
7
Step-by-step explanation:
pq - r/4
(-8)(-3) - 68/4
-8 x -3 = 24 (2 negatives equal a positive)
24 - 68/4
68/4 = 17
24-17 = 7
Is the following equation proportional? y = 6x + 2 *
Is the following equation proportional? y = 3x *
yes or no answers thanks
Answer:
no
Step-by-step explanation
6x+2 is not equal to 3x so they are not proportional
log2 (3x – 1) = log4 (x + 5) Solve the equation
Answer: x=11
Step-by-step explanation:
2(3x-1)=4(x +5)
3x-1=2(x+5)
3x-1=2x+10
3x=2x+10+1
3x=2x+11
3x-2x=11
x=11