To determine the height of the bouncing ball at the fourth peak, we recognize a geometric sequence, where each peak's height is two-thirds of the previous peak. Applying this pattern, the height of the fourth peak is found to be 8 feet.
A sequence can be used to determine the height of a bouncing ball when it reaches its fourth peak. You can observe that the heights of the ball at each peak form a sequence, which in this case appears to be decreasing. By analyzing the pattern in the sequence, you can predict the height of the ball at its fourth peak.
A bouncing ball reaches various heights at different peaks which suggests a pattern. To determine the height of the fourth peak, we look at the sequence formed by the heights of the previous peaks. Noticing the pattern, each peak's height is [tex]\frac{2}{3}[/tex] of the previous one.
First peak: 27 feet
Second peak: 18 feet( [tex]27*\frac{2}{3}[/tex])
Third peak: 12 feet ([tex]18*\frac{2}{3}[/tex] )
To find the fourth peak, we continue the pattern:
Fourth peak: 12 feet *[tex]\frac{2}{3}[/tex] = 8 feet
Therefore, the fourth peak would be 8 feet high. By understanding the geometric sequence, we're able to predict future behavior.
A carpenter is making a brace for a chair. To do so she intersects two pieces of wood to make two sets of vertical angles. The ostuse angles formed are each 145 . What is the measurement of each acute angle formed
What is the value of t? t−122=3t2−3 –3 –1 1 3
If your equation is ...
[tex]t-122=3t^2-3[/tex]
then it has no real solutions, and certainly no integer solutions.
_____
The attached graph show the left side is never equal to the right side of this equation for any real values of t.
the correct answer is actually 3
i just got done with the quiz and the answer was 3
Write 720,080 in expanded form with exponents
what is -4.15 as a fraction
Type the number 1340000 in scientific notation. express your answer using scientific notation.
To convert the number 1,340,000 into scientific notation, move the decimal point 6 places to the left to get 1.34, then place this as an exponent on 10 to get 1.34 x 10^6.
Explanation:In scientific notation, large numbers are simplified by moving the decimal point to the left until we have a number between 1 and 10. We then use an exponent on 10 to indicate how many places the decimal point has been moved. If you take a look at the number 1,340,000, the decimal point is technically at the end of the number right now. In order to express this number in scientific notation, we move the decimal point 6 places to the left, which gives us 1.34. The number of places we moved the decimal point to the left becomes the exponent on 10. Therefore, 1,340,000 in scientific notation is 1.34 x 10^6.
Learn more about Scientific Notation here:https://brainly.com/question/16936662
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How many milligrams are in 5 grams
Use the formula d = rt to find the distance d a long-distance runner can run at a rate r of 9 1/2 miles per hour for time t of 1 3/4 hours.
multiply the 2 numbers
9 1/2 * 1 3/4 =
19/2 * 7/4 = 133/8 = 16 5/8 miles
Help Please?? 12. Of the following, which one is an observational study? A. Asking hearing-impaired people to try a new style of earphone to get their opinion B. Comparing survival rates between treating bone cancer with surgery versus treating it with radiation C. recording the daily output of a balloon factory for 6 months D. polling people on their favorite color I believe it would be 'C', yes?
Option 'C' is an example of an observational study because it involves recording data without manipulation from the researcher, fitting the definition of observing the natural state or habits of a situation over time.
Explanation:You have correctly identified option 'C' as an example of an observational study. In an observational study, researchers merely observe and record data without manipulating or intervening in the study environment or subjects. Option 'C', which involves recording the daily output of a balloon factory for 6 months, fits this description as it simply measures and records data over time without any intervention from the researcher.
It is different from a controlled experiment where variables are manipulated to assess the effect of treatments, as in option 'B', which compares survival rates between different treatments for bone cancer. Similarly, options 'A' and 'D' involve asking for opinions, which might be part of a broader observational study but are not observational studies by themselves.
In summary, an observational study is characterized by the purposeful absence of manipulation by the researcher and is designed to observe the natural state or habits of the subject or situation being studied.
16x+x =12 solve justify each step with algebraic property
Factor the expression completely:
2x² + 5x - 12
How many times can 36 go into 83??
In Sean's fish tank there are 6times as many goldfish as guppies that's are a total of 21 fish in the tank how many more goldfish are there than guppies
99 POINTS POSSIBLE!!!! I have a lot of math problems.....Please show your work also:) I will give Brainiest too!
1.Chase picked three buckets of blackberries that weigh: 2.79 pounds, 2.45 pounds, and 2.62 pounds. What is the average weight for the three buckets?
2. Ashley is baking cookies for math class. The recipe calls for 4 4/5 cups of flour. Ashley has to make 1 1/3 times the recipe to feed the whole class. How much flour does Ashley need?
3. Jordan finished her homework in 1 1/2 hours. It took Kasey 3/4 an hour longer than Jordan to finish her homework. How long did it take Kasey?
4. 32.5 divided by -0.08
5. 4.3x= 81.7 (Decimal Equation)
Thank you for helping me if you did!!!!!!!! I really appreciate it very much!!!!!!!
Hello!
1) 2.62
2) 4.8
3) 6.4
3) 2.25 hours
4) −406.25
5) X=19
I hope it helps!
You bought a magazine for $6 and some notepads for $3 each. You spent a total of $18. How many notepads did you buy?
To find the number of notepads bought, we can set up an equation by subtracting the cost of the magazine from the total cost and equating it to the cost of the notepads. By solving the equation, we find that you bought 4 notepads.
Explanation:To solve this problem, we can start by setting up an equation. Let's assume the number of notepads bought is 'x'. We know the magazine cost $6, so the cost of the notepads is $18 - $6 = $12. Since each notepad costs $3, the equation becomes 3x = 12. To find the value of 'x', we can divide both sides of the equation by 3. So, x = 12/3 = 4.
Therefore, you bought 4 notepads.
The Waist to Hip Ratio (WHR) is a ratio commonly expressed as a decimal that has been shown to be a good predictor of possible cardiovascular problems in both men and women. If Kevin has a WHR greater than 1, he is considered to be “high risk” for cardiovascular problems. Calculate Kevin’s WHR with a waist measurement of 42 inches and a hip measurement 2 inches less.
litter along a 15 mile stretch road will be picked up by 6 different groups of students which equation shows how to find the number of miles each group needs to clean
a.15 divided by 6=6/15
b. 6 divided by 15=6/15
c. 15 divided by 6=15/6
d. 6 divided by 14 =15/6
What is the square root of 25 over 36
if bx-2=k then x equal
one hundred times the quantity seven plus nine
A violin student records the number of hours she spends practicing during each of nine consecutive weeks. 6.2 5.0 4.3 7.4 5.8 7.2 8.4 1.2 6.3 what is the interquartile range (iqr) for this data?
To calculate the interquartile range (IQR) of the data set, the ordered values are split by the median to find Q1 and Q3. The difference between Q3 and Q1 gives the IQR which is 2.65 for this data set.
The interquartile range (IQR) is the measure of the middle 50 percent spread in a data set and is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). To find the IQR for the provided data set (6.2, 5.0, 4.3, 7.4, 5.8, 7.2, 8.4, 1.2, 6.3), we first need to order the data from smallest to largest and then identify Q1 and Q3. Using the median to split the ordered data into two halves and finding the medians of these two halves gives us Q1 and Q3, and their difference gives us the IQR.
Ordered data: 1.2, 4.3, 5.0, 5.8, 6.2, 6.3, 7.2, 7.4, 8.4Median (also Q2): 6.2Lower half (for Q1 calculation): 1.2, 4.3, 5.0, 5.8Upper half (for Q3 calculation): 6.3, 7.2, 7.4, 8.4Q1: (5.0 + 4.3) / 2 = 4.65Q3: (7.4 + 7.2) / 2 = 7.3IQR: 7.3 - 4.65 = 2.65Is the point (8'10), a solution of the equation y=16x-3
Thirty students are eating lunch at 5 tables. Each table has the same number of students. How many students are sitting at each table
Suppose that x is the age of a husband, and y is the age of his wife. if men always marry women who are 3 years younger than themselves, what is the equation for y (wife's age) as a function of x (husband's age)?
Can someone please help I need a clear explanation on how to solve this equation.
At Avery Middle School, 273 students responded to a survey asking whether a Bulldog, a Lion, or a Tiger should be the new school mascot. Four times as many students chose Bulldog as chose Tiger. Twice as many students chose Lion as chose Tiger. How many students chose Lion?
Answer:
78 students chose lion.
Step-by-step explanation:
Let x students chose tiger.
Let y students chose bull dog.
Let z students chose lion.
Total students = 273
[tex]x+y+z=273[/tex] ....(1)
Four times as many students chose Bulldog as chose Tiger.
[tex]y=4x[/tex]
Twice as many students chose Lion as chose Tiger.
[tex]z=2x[/tex]
Substituting the values of y and z in (1)
[tex]x+4x+2x=273[/tex]
=> [tex]7x=273[/tex]
x = 39 (students who chose tiger)
We have to find students who chose Lion or z (defined above)
[tex]z=2x[/tex]
[tex]z=2(39)[/tex]
So, z = 78
Therefore, 78 students chose lion.
What is 1 more ten than 11?
Eva has 2 apples in her basket she eats 1 apple and gives 1 apple to her friend how many apples does Eva have now
The length of a rectangle is 1 less than twice the width. The area of the rectangle is 28 square feet. Which equation represents the situation?
Answer:
2W²-W-28 = 0
Step-by-step explanation:
Markia saved for a new bike. The bike was on sale for a discount of 35%. The original cost of the bike was $270. How much did she pay for the bike?
To solve the equation t² - t = 12 by factoring, you would use
gregs gas station sells three different kinds of gasoline:regular,plus,and premium
mr.adams spent $36.25 on 12.5 gallons of regular gasoline at gregs gas station.determine the cost per gallon for regular gasoline,showing each step in the process.
Mr. Adams spent $36.25 on 12.5 gallons of regular gasoline. To find the cost per gallon, divide the total cost by the number of gallons, resulting in a cost of $2.90 per gallon of regular gasoline at Greg's gas station.
To determine the cost per gallon for regular gasoline, we need to divide the total amount spent by Mr. Adams at Greg's gas station by the number of gallons of gasoline he purchased. In this case, Mr. Adams spent $36.25 on 12.5 gallons of regular gasoline.
Step-by-step calculation:
Write down the total cost of gasoline: $36.25.
Write down the total gallons of gasoline purchased: 12.5 gallons.
Divide the total cost by the number of gallons to find the cost per gallon: $36.25 \/ 12.5 gallons.
Perform the division: $36.25 \/ 12.5 gallons = $2.90 per gallon.
Therefore, the cost per gallon for regular gasoline at Greg's gas station is $2.90.