Answer:
33.75 ft
Add up every time it travels both up and down.
12 + 6 + 6 + 3 + 3 + 1.5 + 1.5 + .75 = 33.75 on the fourth landing.
Step-by-step explanation:
The ball traveled a total of 12 feet vertically when it hit the ground for the fourth time.
What is Distance?The length along a line or line segment between two points on the line or line segment.
The ball is dropped from a height of 12 feet, so we can represent this with the point (0,12) on a coordinate plane.
The ball then bounces up to a height of 6 feet (half the height of the previous bounce), so we can represent this with the point (1,6) on the coordinate plane.
The ball then bounces down to a height of 3 feet (half the height of the previous bounce), so we can represent this with the point (2,3) on the coordinate plane.
The ball then bounces up to a height of 1.5 feet (half the height of the previous bounce), so we can represent this with the point (3,1.5) on the coordinate plane.
The ball then hits the ground for the fourth time.
The distance of the first bounce is 12 - 6 = 6 feet.
The distance of the second bounce is 6 - 3 = 3 feet.
The distance of the third bounce is 3 - 1.5 = 1.5 feet.
The distance of the fourth bounce is 1.5 - 0 = 1.5 feet
The total distance the ball traveled vertically is: 6 + 3 + 1.5 + 1.5 = 12 feet
Hence, the ball traveled a total of 12 feet vertically when it hit the ground for the fourth time.
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Dana buys dress shirts from a clothing manufacturer for s dollars each, and then sells the dress shirts in her retail clothing store at a 35% markup.
a. Write the mark up as a decimal.
b. Write two expressions for the retail price of the dress shirt.
c. What is the retail price of a dress shirt that Dana purchased for $32.00?
d. How much was added to the original price of the dress shirt?
(PLEASE HELP)
Given are the lengths of two sides of a triangle.Find the range of lengths for the third side.7 ft,13 ft
A.less than 6 but more than 20
B.more than 20 but less than 6
C.more than 6 but less than 20
Answer:
A.less than 6 but more than 20
If anyone could please help I would appreciate it!
write 20.5×10^-5 in standard form. please help
Answer:
the answer is 2.05×10^-4
square root of 729 using repeated subtraction method. I need detailed steps
Answer:
√729=√27*27=√27^2=27
BRAINLIEST TO CORRECT
Answer:
4519.5
Step-by-step explanation:
so sorry if that's not correct.
Best loadout for peacekeepe?
can someone please help me with this question???
Answer:
52.36 rounded to hundredth place
Step-by-step explanation:
8 is the height and radius is half of the diameter. Just plug those into the equation
A walking path across a park is represented by the equation y=-4x+10. A new path will be built perpendicular to this path. The paths will intersect at the point (4,-6). Identify the equation that represents the new path. A. y=4x-22 B. y=1/4x-7 C. y=-4x+10 D. y=-1/4x-5
Given:
The equation of a line is
[tex]y=-4x+10[/tex]
A perpendicular line on the given line passes through the point (4,-6).
To find:
The equation of the perpendicular line.
Solution:
We have,
[tex]y=-4x+10[/tex]
On comparing this equation with slope intercept form [tex]y=mx+b[/tex], we get
[tex]m=-4[/tex]
So, the slope of the given line is -4.
We know that the product of slopes of two perpendicular lines is always -1.
[tex]m\times m_1=-1[/tex]
[tex](-4)\times m_1=-1[/tex]
[tex]m_1=\dfrac{-1}{-4}[/tex]
[tex]m_1=\dfrac{1}{4}[/tex]
The slope of the required line is [tex]\dfrac{1}{4}[/tex] and it passes through the point (4,-6). So, the equation of the line is
[tex]y-y_1=m_1(x-x_1)[/tex]
[tex]y-(-6)=\dfrac{1}{4}(x-4)[/tex]
[tex]y+6=\dfrac{1}{4}x-1[/tex]
[tex]y=\dfrac{1}{4}x-1-6[/tex]
[tex]y=\dfrac{1}{4}x-7[/tex]
Therefore, the correct option is B.
Simplify fully 50y3/ 8xy2
Answer:
[tex]\frac{25y}{4x}[/tex]
Step-by-step explanation:
Answer:
Step-by-step explanation:
i did you go with me to my car to see what i is going on with my car i and brown is there anyway i is going out and i is there a few things to go out and get some money from there so we could get it done and green or something for you guys and brown is ok and zjoke
what is 2+2=? adding letters for extra characters
Answer:
4
Step-by-step explanation:
write an equation of the line in slope-intercept form of each line given slope and y intercept m=2;b2
Answer:
[tex]y = 2x + 2[/tex]
Step-by-step explanation:
Given
[tex]m = 2[/tex]
[tex]b = 2[/tex]
Required
Write equation in slope intercept form
An equation in slope intercept form is:
[tex]y = mx + b[/tex]
Substitute values for m and b
[tex]y = 2x + 2[/tex]
Help with math homework Will mark brainlest no matter what
Answer:
(x-3)^2 + (y+2)^2 = 25
Step-by-step explanation:
Center is (3,-2) Radius is 5
3=h -2=k r=5
Formula (x-h)^2 + (y-k)^2 = r^2
Plug it in and switch the signs inside the ( )
(x-3)^2 + (y+2)^2 = 25
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A.Supplementary
B.None
C.Complementary
D.Vertical
Answer:
A. the answer is supplementary
what is the equivalent ratio for 3:4
Answer:
A ratio of 1/2 can be entered into the equivalent ratio calculator as 1:2. 2/10 would be 2:10, 3/4 would be 3:4 and so on.
Thank you to anyone who answers .
Answer:
last one
Step-by-step explanation:
Find y. Give your answer in the simplest form
Answer:
[tex] 3 \sqrt{3} [/tex]
Step-by-step explanation:
[tex]tan \: 60 \degree = \frac{y}{3} \\ \\ y = 3tan \: 60 \degree \\ \\ y = 3 \sqrt{3} [/tex]
Answer:
y = 3[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] , then
tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{3}{y}[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )
y = 3[tex]\sqrt{3}[/tex]
There are 300 pages in your independent reading book for English. You have read 78% of the book. How many pages have you read?
Answer:
234
Step-by-step explanation:
300 x .78 = 234
Answer:
234 pages.
Step-by-step explanation:
Remark
78% = 78/100
78% of 300 = 78/100 * 300 = 23400/100 = 234
A car is stuck in a ditch. The car weighs 500kg. How much force will it take to take the car out of the ditch.
The dot plot shows the number of flowers each science student was able to identify. A dot plot whose number line is labeled Number of flowers identified. There are 2 dots above 0, 4 dots above 1, 5 dots above 2, 7 dots above 3, 4 dots above 4, 3 dots above 5, 2 dots above 6, 1 dot above 7, 2 dots above 8, 1 dot above 9, 1 dot above 10, and 1 dot above 12. Select from the drop-down menus to correctly complete the statement. The distribution of data is skewed right , with a mode of Choose... , and a range of Choose... .
Answer:
The dot plot shows the number of flowers each science student was able to identify.
A dot plot whose number line is labeled Number of flowers identified. There are 2 dots above 0, 4 dots above 1, 5 dots above 2, 7 dots above 3, 4 dots above 4, 3 dots above 5, 2 dots above 6, 1 dot above 7, 2 dots above 8, 1 dot above 9, 1 dot above 10, and 1 dot above 12.
Select from the drop-down menus to correctly complete the statement.
The distribution of data is 1 "skewed right", with a mode of 2 "3", and a range of 3 "12".
Step-by-step explanation:
I took the test!
100-121k^2=0 What are solutions to this equation?
Answer:
k = ±[tex]\frac{10}{11}[/tex]
Step-by-step explanation:
121k² - 100 = 0
(11k + 10)(11k - 10) = 0
Please help me i dont understand this
Answer:
209.3
Step-by-step explanation:
V=πr^2h / 3
= 3.14 x 25 x 8 /3
= 209.3
WILL GIVE BRAINLIEST
Answer: A. The compromise allowed California to join the United States as a free state but would allowed slavery in the southwestern territories.
Step-by-step explanation:
As the abolitionist North and the pro-slavery South saw their rivalry intensify with the lobbying by the South that slavery should be allowed in the western territories, Congress decided to pass the compromise of 1850 which was several acts that would calm both sides for the time being.
With this compromise, California was allowed to join the United States as a free state but in return, the Southwestern territories were allowed to decide their slavery status in an election which meant that if the territories so pleased, they could allow slavery in their territories.
The sum of the measures
of the interior angles of
polygon is 2,880. How
many sides does the
polygon have?
Answer:
pretty sure its 18
Step-by-step explanation:
How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer. How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer.
Answer: See explanation
Step-by-step explanation:
The value of the digit 3 in the number 63,297 is 3,000 while the value of the digit 3 in the number 60,325 is 300.
The difference between value of the digit 3 in the number 63,297 and the value of the digit 3 in the number 60,325 will be:
= 3000 - 300
= 2700
Mia wants to purchase a pair of jeans that cost $36. They are on sale for 20% off. What are two ways that Mia can find the cost of the jeans? Write your answers in the blanks. Mia can find the difference of 36 and of 36 or she can multiply 36 by
please help
Answer:
multiply 36 by .20 and subtract that from 36
Step-by-step explanation:
20% is the amount off. if you multiply .20 and subtract it you'll get $7.20 so 36-7.20 which is $28.80.
Answer:
28.80 is 36 dollars 20 percent off.
Step-by-step explanation:
take the original price
divide the original price by 5
alternatively, divide the original price by 100 and multiply it by 20
subtract this new number from the original one
the number you calculated is the discounted value.
more simple steps:
1. subtract the final price from the original price
2. divide this number by the original price
3. multiply the result by 100
other explanation: a 20 percent discount is 0.20 in decimal format. secondly, multiply the decimal discount by the price of the item to determine the savings in dollars. for example: if the original price of the item equals 24$, y I u would multiply 0.2 by 24$ to GET $4.80
hope this helps!
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An economist calculates that the cost of living in Westminster is currently $44,000 per year and is increasing by 5% per year. What will the cost of living be in 20 years? Round to the nearest cent.
Given:
Initial cost of living = $44,000
Rate of increase = 5% = 0.05
To find:
The cost of living in 20 years.
Solution:
The exponential growth model is:
[tex]y=a(1+r)^t[/tex]
Where, a is the initial value, r is the growth rate and t is the number of years.
Putting [tex]a=44000,r=0.05, t=20[/tex] in the above model, we get
[tex]y=44000(1+0.05)^{20}[/tex]
[tex]y=44000(1.05)^{20}[/tex]
[tex]y=116745.099026 [/tex]
[tex]y\approx 116745.10 [/tex]
Therefore, the cost of living in 20 years is about $116745.10.
Find the Mean absolute deviation
45, 60,55, 20,15,10,30
Answer:
The mean is 30
Find the area of the following shapes.
Area of small rectange = 7 cm × 4 cm = 28 cm sq
Area of bigger rectangle = 4cm×10 cm = 40 cm sq
Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq
total area of polygon = ( 28 + 40 + 12 ) cm sq
area of polygon = 80 cm sq