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]
Which list contains only composite numbers? 12, 37, 54, 80, 117,
31, 44, 57, 64, 92,
26, 53, 66, 84, 96,
6, 24, 51, 72, 105,
Answer:
6, 24, 51, 72, 105
Step-by-step explanation:
6,24,51,72,105
It was right on my work hoops this helps :)
Which of the binomials below is a factor of this Torinomial? X2 + 12x + 32
x2+12x+32
Factor out 2 from the expression
2(x+6x+16)
Collect like terms
2(7x+16)
Now we do the same thing only different way ok
x+6x
If a term doesn't have a coefficient , it is considered that the coefficient is 1
1x+6x
Collect like terms by adding their coefficients
(1+6)x
Add the numbers
7x
1+6=7
To add the numbers using a number line, start from zero.
Since 1 is positive, move the point 1 unit to the right.
Since 6 is positive, move the point 6 units to the right
The result is 7
Answer : 2(7x+16)
That's it . Hope it wasn't too hard to understand?
Please give me as brainliest
Completa las siguientes sucesiones y encuentra su regla general. a) -4, -2, 0, ___, ___,... b) -15, -10, ___, ___,... Y su regla general de todas. Por favor ya había dicho que no se muy bien, Por favor es urgente
La sucesión es geométrica ya que cada término se obtiene multiplicando el anterior por una cantidad constante (llamada razón), en este caso 1/2
1 * 1/2 = 1/2
1/2 * 1/2 = 1/4
1/4 * 1/2 = 1/8
La fórmula general en este tipo de sucesiones es?aₙ = a₁ * r ⁿ⁻¹
Donde
aₙ es un término dentro de fórmula general
a₁ es el primer término
r es la razón de la sucesión
n es el índice del término
Con la fórmula podemos obtener los términos que faltan
Término 5
a₅ = 1 * 1/2 ⁵⁻¹
a₅ = 1 * 1/2 ⁴
a₅ = 1 * 1/16
a₅ = 1/16 ======> término 5
Término 8
a₈ = 1 * 1/2 ⁸⁻¹
a₈ = 1 * 1/2 ⁷
a₈ = 1 * 1/128
a₈ = 1/128 =========> término 8
Término 9
a₉ = 1 * 1/2 ⁹⁻¹
a₉ = 1 * 1/2 ⁸
a₉ = 1 * 1/256
a₉ = 1/256 =======> término 9
Study more about GP on https://brainly.com/question/29399287
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Question
Identify the correct graph and solution for the inequality.
10 a <25
(Look at pic)
Answer:
First option
Step-by-step explanation:
First, Solve the inequality:
Divide each side by 10 to cancel out the 10 next to a. It should now look like this: a < 2.5Find the inequality that matches the solution:
The first option (which literally writes the simplified version of the inequality) is correct, because it matches our simplified inequality above.Match each fraction with its reciprocal.
Answer:
1/ 4=4
1/3+3/1
3/4=4/
Step-by-step explanation:
Point A is at (-6,8) and point M is at (0,0.5).
Point M is the midpoint of point A and point B.
What are the coordinates of point B?
Answer:
(6,-7)
Step-by-step explanation:
the coordinates of point B are (6-7)
Answer:
the first answer is right
Step-by-step explanation:
A shop owner offered a 20% discount off the regular price of a mirror. The amount of the discount is $5. What is the regular price of the mirror?
Answer:
25 dollars
Step-by-step explanation:
If 20 percent of the initial price was 5, you can create the equation:
0.2x=5, with x being the regular price.
Multiply both sides by 5:
x=25
Answer:
25$
Step-by-step explanation:
20/100 can be rounded down to 1/5 meaning all you have to do is multiply 5 by 5
5 times 5 is 25
25$ was the original price
a water turck is filling a swiming pool. the euqation that represents this relationship is y = 19.75x where y is the number of gallons of water in the pool and x is the number of minutes the truck has been filling the pool choose true or false for each statement
Answer:
TrueStep-by-step explanation:
Given the expression
y = 19.75x
let us see the solution from this angle
we know that
speed=distance/time
distance=speed*time
i.e quantity=rate*time
y = 19.75x
y=the quantity =number of gallons
19.5= the rate of flow
therefore
x= the time in minutes
What does extraneous solution mean?
Answer:
Extraneous solutions are values that we get when solving equations that aren't really solutions to the equation.
Step-by-step explanation: None
HELPP ASAP!! PLS BE SURE THAT THE ANSWER IS CORRECT
(I WILL GIVE BRAINLYIST)
A student solves the inequality -50 > 55. Each step in the student's solution is shown below. Identify where the student made any errors.
Answer: pick b
Step-by-step explanation:
Answer:
Step 2 and 3
Step-by-step explanation:
:)
A contractor purchases ceramic tile to remodel a kitchen floor. Each tile cost $4 and the adhesive/grouting material costs $17.82. If the contractor pays a total of $545.82 how many ceramic tiles did the contractor purchase
Answer:
132 tiles
Step-by-step explanation:
Each tile cost $4
The adhesive/grouting material costs $17.82.
If the contractor pays a total of $545.82
Let the number of tiles be represented as x
The equation is represented as:
$17.82 + $4 × x = $545.82
17.82 + 4x = 545.82
Collect like terms
4x = 545.82 - 17.82
4x = 528
Divide bother sides by 4
4x/4 = 528/4
x = 132
The number of ceramic tiles the contractor bought = 132 tiles
is it right? or like idk i’m confused
This is right
The system requires me to have 20 characters in my answer so I am just gonna add this.
One week, seventy-two percent of the animals that cam to a veterinary hospital were dogs. If there were 230 animals total, how many were dogs?
Answer:
166/230 or 83/115
Step-by-step explanation:
72/100 converted to ?/230
100 to 230 is 2.3*100
so 72*2.3=165.6
166/230 simplify 83/115
x+12= -5 helpppp meeeee
Answer:
The answer is -17.
Step-by-step explanation:
Well since the answer turns out to be a negative, one of the numbers has to be negative.(not all cases but for this one, yes)You have to add 12+5 and you get 17. This has to be a negative because the answer is a negative.
You buy a gallon of milk. How many cups can you pour from it?
Answer: 16 cups!
Step-by-step explanation: Hopefully this helped :D
Answer:
16
Step-by-step explanation:
Step 1:
1 gallon = 16 cups Conversion
Answer:
16 cups
Hope This Helps :)
I will give brainliest !!!!!
An office supply store sells notebooks in packs of 15 and folders in packs of 18. A business wants to have one notebook for each folder. What is the least number of notebooks and folders that the business has to buy?
30
270
3
90
Answer:
90 notebooks and folders
Step-by-step explanation:
Find the least common multiple (LCM) or 18 and 15!
18 x 5 = 90
15 x 6 = 90
Therefore, your answer is 90
Hope this helps!
The third-grade teachers had a pizza party. They ordered 11 large pizzas and each pizza had 8 slices. There were 4 classrooms in the grade.
whats the question you only stated the problem
Answer:Not exactly sure what the question is but...
Step-by-step explanation:There would be 88 slices so each classroom would get 22 slices.
Hope this helps
Find the additive inverse of -1/8
Answer:
1/8
Step-by-step explanation:
(Dont mind me, just need to add more characters LOL)
Find the y-intercept of the equation y = -0.5x - 3
Answer: -3
Step-by-step explanation: When you graph this that’s what you get
Answer:
-3
Step-by-step explanation:
the y intercept is when x is 0 on the graph. Since you know x has to be zero, you can substitute x for 0 in the equation:
y = -0.5x0 -3
Now you can ignore that first part of the equation because it equates to 0, and so you get:
y= 0 - 3
which equals:
y=-3
What is the measure in degrees of angle R?
Can you answer this question for me Thank you For the school cafeteria, 15 pounds of vegetables were ordered by the chef. If each student usually gets 3/8 of a pound of vegetables each day for lunch, how many students could be fed with the vegetables in one day?
Answer:
The answer could be 40. I might be wrong.
Step-by-step explanation:
15 divided by 3/8 = 40
Solve the equation using the Properties of Equality.
what is the slope of the line that goes through the points (2,-1) and (6,1)
Answer: The slope is [tex]\frac{1}{2}[/tex].
Step-by-step explanation:
1. You set up your Slope Formula [tex]M=\frac{y2-y1}{x2-x1}[/tex].
2. Substitue your points into the formula.[tex]M=\frac{1--1}{6-2}[/tex].
3. Once you substitute, you will solve the equation[tex]M=\frac{2}{4}[/tex].
4. Simplify the equation if you have to [tex]M=\frac{1}{2\\}[/tex].
Amanda owns 9 T-shirts, 4 of which are white. If Amanda randomly selects a T-shirt to wear, what is the probability it will be white? Write your answer as a fraction or whole number.
P(white) =
Step-by-step explanation:
P(white)=4/9 is the probability
Pls help me answer this
Answer:
number 1 i think if not then 4
Answer:
#3
Step-by-step explanation:
We can't prove any of the others
#3 is stated a bunch of times in the text
They go into dormancy when life gets hard
halp me I need halp plz
Answer:
3 13/20
Step-by-step instructions
Answer:
The correct equation that is shown is number 3. (edited).
Figure B is a scaled copy of Figure A. Select all of the statements that must be true:
Figure B is larger than Figure A.
Figure B has the same number of edges as Figure A.
Figure B has the same perimeter as Figure A.
Figure B has the same number of angles as Figure A.
Figure B has angles with the same measures as Figure A.
Item at position 2
ANSWER QUICKLY PLEASE
Answer:
Same number of edges
Same number of angles
Angles woth same measures
An ant with a mass of 4 x 10-6 kg is carrying a bread crumb back to its anthill . The bread crumb has a mass of 8 x 10-5 kg. The mass of the bread crumb is how many times the mass of the ant?
Answer:
Mass of bread crumb is 20 times the mass of the ant..
Step-by-step explanation:
Mass of an ant = [tex]4\times 10^{-6}[/tex] kg
Ant carries a weight of bread crumb to its anthill.
Mass of the bread crumb = [tex]8\times 10^{-5}[/tex] kg
Ratio of their masses,
[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{4\times 10^{-6}}{8\times 10^{-5}}[/tex]
[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{1}{2\times 10^{(-5+6)}}[/tex]
[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{1}{20}[/tex]
Mass of the bread crumb = 20×(Mass of the ant)
Therefore, mass of the bread crumb is 20 times the mass of the ant.
Find the inverse of Function F.
F(x)=9x+7
Answer:
x - 7/9 = f(x)^-1
Step-by-step explanation:
f(x) = 9x + 7
y - 7 = 9x
y - 7/9 = 9x/9
Interchange!
x - 7/9 = y