Answer: To determine the total distance traveled by the volleyball ball before coming to rest, we can sum up the distances of each rebound. The ball rebounds 1/4 of the distance of the previous ball for each rebound. Let's calculate the distances traveled for each rebound until the ball comes to rest.
First rebound:
The ball is dropped from a height of 4 meters, so it reaches the ground and rebounds back up to a height of 4 * (1/4) = 1 meter.
Distance traveled in the first rebound:
4 meters (downward) + 1 meter (upward) = 5 meters
Second rebound:
The ball was at a height of 1 meter, and it rebounds 1/4 of this distance, which is 1 * (1/4) = 0.25 meters.
Distance traveled in the second rebound:
1 meter (downward) + 0.25 meters (upward) = 1.25 meters
Third rebound:
The ball was at a height of 0.25 meters, and it rebounds 1/4 of this distance, which is 0.25 * (1/4) = 0.0625 meters.
Distance traveled in the third rebound:
0.25 meters (downward) + 0.0625 meters (upward) = 0.3125 meters
The ball continues to rebound with decreasing distances, approaching zero. To find the total distance traveled before coming to rest, we can sum up the distances from each rebound.
Total distance traveled:
5 meters + 1.25 meters + 0.3125 meters + ...
This is an infinite geometric series with a common ratio of 1/4. The sum of an infinite geometric series can be calculated using the formula:
Sum = a / (1 - r)
where a is the first term and r is the common ratio.
Plugging in the values:
a = 5 meters (distance of the first rebound)
r = 1/4
Sum = 5 / (1 - 1/4)
Sum = 5 / (3/4)
Sum = 5 * (4/3)
Sum = 20/3 ≈ 6.67 meters
Therefore, the volleyball ball travels approximately 6.67 meters before coming to rest.
Two sides of a triangle measure
8 centimeters and 13 centimeters. Which
of the following could not be the length of
the third side?
A 4 cm
C 14 cm
B 8 cm
D 18 cm
Answer:
A.
Step-by-step explanation:
4 + 8 = 12 which is < 13.
Answer:
4+8 is 12
Step-by-step explanation:
12 is less than 13 which cannot make this a triangle
Help please!!
Are these triangles similar
choices:
Both
Neither
Answer:
The blue triangle -- ∆QRS only
Step-by-step explanation:
They have the same angles (49° and 96°) and the third angle would be 35°. The pink triangle has none of the same angles measurements
PLSSSSS HELP MEEEE PLSSSSSSS
Thelma and Louise ordered take-out from Belle Taco. Thelma ordered 2 tacos and 1 burrito and paid $3.79. Louise ordered 2 burritos and 1 taco and paid $4.58..
Find the cost for 1 of each of these items.
Answer:56
Step-by-step explanation:
!$(7(8
help help 100 pointzzzz plzzzzz helppp
it is Y ma'am or sir!
~iwa-chan
6x = -24 Solve for x. *Please click on "show your work" to set up the problem and show your work. Then,
enter your answer in the box to the right. You must complete both of these steps.
Answer: x=-4
Step-by-step explanation:
Answer:
x = -4
Step-by-step explanation:
You would begin by dividing 6 from each side to get x alone so it'll look like this:
x = [tex]\frac{-24}{6}[/tex]
When you divide, you get -4 because a negative divided by a positive is still negative.
Hope that helps!
Em cada caixote cabem 30 dúzias de laranjas. Um caminhão está carregado com 80 caixotes de laranjas. Quantas
laranjas, no total o caminhão está carregando?
Responda:
2400 dúzia
28800 laranjas
Explicação passo a passo:
se cada caixa pode conter 30 dúzias de laranjas e há 80 caixas, então para descobrir quantas dúzias há 30x80=2400
mas isso é quantas dezenas existem. Uma dúzia = 12 laranjas para descobrir quantas laranjas multiplicam as dúzia por 12 2400x12 = 28800 laranjas totais
the area of the farm is 600 square meters. The area of the garden is 120 square meters. What percent of the farm is the garden?
A typist types 450 word in one hour. How many words would he type in 10 minutes
Answer:
75 words in 10 mins
Step-by-step explanation:
450 words in 60 mins, 450/6 is 75 meaning he can type 75 in 10 mins.
Answer:
30 minutes ................ 450 words
1 minute ..................
30
450
=15 words
6 minutes .............. 15×6=90 words
please answer the question bellow, i'm so confused lol
Answer:
12
Step-by-step explanation:
find the lcm between 6 and 4
Answer:
He will wear both on the 12th day.
Step-by-step explanation:
Find the LCM (Least Common Multiple) of 4 and 6.
Prime factor both numbers:
4 = 2²
6 = 2 · 3
LCM = 2² · 3
= 12
To find the LCM, take the greatest common numbers (2² and 3) and multiply them.
This method works well with very big numbers.
(x% of 60 is 3.006, 10% of 111 is y)
Answer:
x = 5.01%
y = 11.1
Step-by-step explanation:
[tex]\frac{percent}{base} = \frac{rate}{100}[/tex]
Model:
50% of 120 is 60
Rate (%) = 50
Base (of) = 120
Percent (is, part) = 60
Thus, x in the first problem is the rate.
[tex]\frac{3.006}{60} =\frac{x}{100}[/tex]. Cross multiply, and we get:
x = 5.01
To check, multiply 5.01% × 60 = 3.006
For the second problem, multiply 10% with 111 to get the percent, which is 11.1
Please Help Me with my homwork
Answer:
first blank is -3/2
Step-by-step explanation:
second blank is 2
Find the mode for this list of numbers
98 ,52,61,36,6,6,19,24,42,4,5,32,,23,82,34
Answer:
Mode of the given frequency is 6 as it is occurring frequently
If angle DAB is 30 degrees, angle ABD is 60 degrees, and line segment BD has a length of 30, what is the length of side a?
Answer:
The length of side a is 30
Step-by-step explanation:
because the side of an angle is the side it's pointing at which is BD. BD = a = 30
(6x+y)(6x-7) What is the answer?
= 6x + 6x - 6x × 7 + 6xy - 7y
36x2 - 42x + 6xy - 7y
Could you help me please ?
my answer is that 6.28 will be the answer.
Q A clothing company uses 280 pounds to make 70 shirts at this rate how many buttons with the clothing company used to make 460 shirts
Answer:
1840
Step-by-step explanation:
The number of buttons used in making 1 shirt = 280/70 = 4 buttons
the number of buttons used in making 460 shirts = 460 x 4 = 1840 buttons
there are 5 red marbles, 7 green marbles, 4 black marbles, and 8 blue marbles in a bag. find green or black
Answer:
11/24
Step-by-step explanation:
Answer:
11/24
Step-by-step explanation:
MARKING BRAINLIEST PLEASE HELP. Louie's Lemonade is available in 2.5 gallon jugs. A Serving is 8 fl.oz. How many servings are in one jug of lemonade? 1 cup = 8 oz. 1 gallon = 16 cups
Alex created a map of his neighborhood using a scale of 1 inch = 2 blocks. If his street is 6 blocks long, how long will it be on the map?
a ) 12 inches
b ) 3 inches
c ) 6 inches
d ) 2 inches
Cameron will spin a spinner that is divided into four sections. He will then flip two coins. How many outcomes are possible?
A. 2
B. 4
C. 8
D. 16
Answer:
16 outcomes
Step-by-step explanation:
4 outcomes for spinner
2 outcomes for 1st coin
2 outcomes for 2nd coin
4 x 2 x 2 = 16
GUYS HELP ME.. plEASEEEEE
A street performer stands motionless on a column that measures 0.5 m by 0.5 m. If the performer weighs 900 N, what pressure does the performer exert on the pavement below?
Answer:
19000 Pa
Step-by-step explanation:
I need help plz
Find x and y
(45-45-90 formula)
i think itss this 45 45 90 triangle ratio
In a 45 45 90 triangle, the ratios are equal to: 1 : 1 : 2 for angles (45° : 45° : 90°) 1 : 1 : √2 for sides (a : a : a√2)Jun 26, 2020
Over here, we have a 45-45-90 special right triangle.
According to base angle theorem converse, this triangle is a congruent triangle so x = 14.
In a 45-45-90 triangle, the hypotenuse is the leg multiplied by [tex]\sqrt{2}[/tex]
So it would be:
14[tex]\sqrt{2\\}[/tex]
Hope this helps, let me know if you have any questions since it wasn't the best explanation.
stannis wrote a test that was out of 972. he got 6% of the questions wrong. how many wrong answers did he get
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Simplify the expression. Use the variables, numbers, and symbols that are shown. Drag them to the appropriate box in the polynomial. Use standard polynomial format. x(2x - 3) + (x - 3)(x - 4)
Answer:
We have to find the product of ,
(a+3)(a-2)
We will use the identity
(x+a)(x+b)=x² + (a+b)x+ab
So, (a+3)(a-2)=a²+(3-2)a+ (3)×(-2)
= a²+1 × a -6
= a²+a-6
Or , you can use the following method, to find the product.
a×(a-2)+3×(a-2)
=a² -2 a + 3 a-3×2
=a²+a-6
t 7.5 hours at the zoo. If he left at 4:20 pm., what time did he arrive at the zoo
Answer:
The correct answer is 11:50 PM.
Step-by-step explanation:
(3y + 4) (9y² - 12y + 16)=
pls answer and give the solution
Answer:
27 ³ + 64
Step-by-step explanation:
b.
cups of water fill
14
Identical water bottles. How many cups fill each bottle?
Answer:
bro how many cups fill 14 indentical water bottles
Step-by-step explanation:
question is in complete
or if I take it as x then x/14
hope it helps you
mark me as brainlist
FOR 15 POINTS ANSWER THESE 3 QUESTIONS AND WILL MARK BRAINLIEST. 1. The courthouse is on the exterior corner of the intersection of any 2 streets. 2. The school and the courthouse are on congruent corresponding angles. 3.The police station forms a linear pair with the courthouse and same-side interior angles with the school.
Answer:
http://collinskarr.weebly.com/uploads/5/7/7/6/57764943/geometrytaskprojectparallellinescityprojectandwritingassignment.pdf
Step-by-step explanation:
i think thes is a life hack thing
i am not a inappropriate robot
Evaluate 7x2 - 4y for x = -6 & y = 9.
Please help
please help.
is it increasing or decreasing?
only one answer please.
Answer:
Increase
Step-by-step explanation:
Hope this is correct