Answer:
The ball will reach a maximum height of 39.993 meters after 1.428 seconds.
Step-by-step explanation:
Let suppose that no non-conservative forces acts on the ball during its motion, then we can determine the maximum height reached by the Principle of Energy Conservation, which states that:
[tex]K_{1}+U_{g,1} = K_{2}+U_{g,2}[/tex] (1)
Where:
[tex]K_{1}[/tex], [tex]K_{2}[/tex] - Initial and final translational kinetic energies, measured in joules.
[tex]U_{g,1}[/tex], [tex]U_{g,2}[/tex] - Initial and final gravitational potential energies, measured in joules.
By definition of translational kinetic energy and gravitational potential energy we expand and simplify the expression above:
[tex]\frac{1}{2}\cdot m\cdot v_{2}^{2}+m\cdot g\cdot y_{2}= \frac{1}{2}\cdot m\cdot v_{1}^{2}+m\cdot g\cdot y_{1}[/tex] (2)
Where:
[tex]m[/tex] - Mass of the ball, measured in kilograms.
[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.
[tex]v_{1}[/tex], [tex]v_{2}[/tex] - Initial and final speed of the ball, measured in meters per second.
[tex]y_{1}[/tex], [tex]y_{2}[/tex] - Initial and final heights of the ball, measured in meters.
The final height of the ball is determined by the following formula:
[tex]v_{2}^{2}+2\cdot g\cdot y_{2} = v_{1}^{2}+2\cdot g\cdot y_{1}[/tex]
[tex]v_{1}^{2}-v_{2}^{2}+2\cdot g \cdot y_{1}=2\cdot g\cdot y_{2}[/tex]
[tex]y_{2} = y_{1}+\frac{v_{1}^{2}-v_{2}^{2}}{2\cdot g}[/tex] (3)
If we know that [tex]y_{1} = 30\,m[/tex], [tex]v_{1} = 14\,\frac{m}{s}[/tex], [tex]v_{2} = 0\,\frac{m}{s}[/tex] and [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], the maximum height that the ball will reach is:
[tex]y_{2} = 30\,m + \frac{\left(14\,\frac{m}{s} \right)^{2}-\left(0\,\frac{m}{s} \right)^{2}}{2\cdot \left(9.807\,\frac{m}{s^{2}} \right)}[/tex]
[tex]y_{2} = 39.993\,m[/tex]
The ball will reach a maximum height of 39.993 meters.
Given the absence of non-conservative forces, the ball exhibits a free fall. The time needed for the ball to reach its maximum height is computed from the following kinematic formula:
[tex]t = \frac{v_{2}-v_{1}}{-g}[/tex] (4)
If we know that [tex]v_{1} = 14\,\frac{m}{s}[/tex], [tex]v_{2} = 0\,\frac{m}{s}[/tex] and [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], then:
[tex]t = \frac{0\,\frac{m}{s}-14\,\frac{m}{s} }{-9.807\,\frac{m}{s^{2}} }[/tex]
[tex]t = 1.428\,s[/tex]
The ball will take 1.428 seconds to reach its maximum height.
There are 176 slices of bread in 8 loaves
If there are the same number of slices in each loaf how many slices of bread are in 5 loaves
Answer:
110
Step-by-step explanation:
Divide 176 by 8 to get 22 and then multiply 22 by 5 to get 110
Answer:
110
Step-by-step explanation:
176/8 is 22 so there are 22 slices per loaf.
To find the amount of slices in 5 loaves you multiply 22 and 5 to get 110.
Hope this helped :)
Nick Nora & Nancy have pets. One has a kitten, one has a puppy, one has a gerbil. Nora has a gerbil. Nancy is a cousin of the person with the kitten. Who has the puppy?
Answer:
Nick
Step-by-step explanation:
NICK HAS THE KITTEN BECAUSE NORA HAD A GERBIL AND NACY IS THE COUSIN OF THE PERSON WITH THE KITTEN SO THAT WOULD MEAN NANY HAS A PUPPY.
Aman walks 10 miles In x hours. How far does he walk In one hour? Which expression represents this?
A). 10/× miles
B). 10x miles
C). 10 + x miles
Answer:
A
Step-by-step explanation:
Hope this helps and I don't really know how to explain.
(800x800) plz help
gggggggggggggggg
Answer:
640000 is the answer ggggg
Answer:
640,000
Step-by-step explanation:
All you have to do is do 8 times 8 then add 4 zero's to your answer of 64 now when you add the zero's you get 640,000
x + 3y = 5
-x + 6y = 4
Solve the system of equations.
A) x = 1, y = 2
B) x = 2, y = 1
C) x = 1, y = 1
D) x = 0, y = 2
Answer = B) x = 2, y = 1
As, x + 3y = 5 = 2 + 3(1) = 5, so 2 + 3 = 5
-x + 6y = 4
-2 + 6(1) = 4
-2 + 6 = 4
So, answer = (B)
A project has an initial cost of $55,000, expected net cash inflows of $10,000 per year for 12 years, and a cost of capital of 11%. What is the project's NPV? (Hint: Begin by constructing a time line.) Do not round intermediate calculations. Round your answer to the nearest cent.
Answer:
NPV= $9,923.56
Step-by-step explanation:
Giving the following information:
Initial cost= -$55,000
Cash flows= $10,000
Cost of capital= 11%
To calculate the net present value, we need to use the following formula:
NPV= -Io + ∑[Cf/(1+i)^n]
First, we need to discount the cash flows:
PV= Cfn / (1+i)^n
Cf1= 10,000/1.11= 9,009.01
Cf2= 10,000/1.11^2= 8,116.22
Cf3= 10,000/1.11^3= 7,311.91
......
Cf12= 10,000/1.11^12= 2,858.41
Total PV= $64,923.56
Now, the NPV:
NPV= -55,000 + 64,923.56
NPV= $9,923.56
What is the product (-2d2+s)(5d2-6s)
Answer:
its A
Step-by-step explanation:
correct on edge
Evaluate the function f(x) = 2x + 8, when x = 0
Answer:
8
Step-by-step explanation:
f(x) = 2x + 8
x=0
f(0) = 2(0) + 8
f(0)=0+8
f(x)=8
Answer:
8
Step-by-step explanation:
f(x)=2x+8
x=0
f(0)=2(0)+8
f(0)=0+8
F(0)=8
(1) prove that: 1 + 4 + 7 +………+ (3n – 2) = (3n – 1). ( n ≥ 1 )
The statement as given is not true. For n = 1, the left side is just the first term, 1, while the right side would be 3(1) - 1 = 2, and 1 ≠ 2.
I think what you meant to write was the equation
1 + 4 + 7 + ... + (3n - 2) = 1/2 n (3n - 1)
which can be easily proved by induction.
For n = 1, we have
1 = 1/2 (1) (3(1) - 1) → 1 = 1
which is of course true.
Now for the inductive step. Assume the equation holds for n = k, so that
1 + 4 + 7 + ... + (3k - 2) = 1/2 k (3k - 1)
and use this to show it holds for n = k + 1.
We would have
1 + 4 + 7 + ... + (3k - 2) + (3(k + 1) - 2)
which reduces to
1/2 k (3k - 1) + (3k + 1)
3/2 k² + 5/2 k + 1
1/2 (3k² + 5k + 2)
1/2 (k + 1) (3k + 2)
which is precisely what the formula gives on the right side for n = k + 1. QED
Please answer please fast
Answer:
c
Step-by-step explanation:
Answer:
As sample size increases, the margin of error decreases. As the variability in the population increases, the margin of error increases. As the confidence level increases, the margin of error increases.
so c i think
Step-by-step explanation:
Suppose a company claims that its jars of pickles weigh 68 ounces on average. It took many large samples, and about half the time, the mean weight of the sample was outside the 95% confidence interval. Which of the following would be a reasonable conclusion? A. The company's jars of pickles weigh 68 ounces on average. B. The company's jars of pickles weigh fewer than 68 ounces on average. C. The company's jars of pickles weigh more than 68 ounces on average. D. The company's jars of pickles do not weigh 68 ounces on average.
Step-by-step explanation:
The company's jars of pickles weigh fewer than 68 ounces on average. C. The company's jars of pickles weigh more than 68 ounces on average. D. The company's jars of pickles do not weigh 68 ounces on average.
This is the Answer
Ángel runs 3 per day what is the relationship between the number of days and how many miles he has run
Answer:
1:3, for every day he runs 3 miles
1:3
2:6
3:9
ect
Answer:
depending on how many days he runs you multiply by three see since he only ran one day he only ran 3 miles lest say he ran for 5 days in a row he has ran 15 miles in total because 5x3=15 so the equation would be 3x
Step-by-step explanation:
The sum of all the whole numbers from 1 to 45 is subtracted from the sum of all the whole numbers from 1 to 50 as shown: (1 + 2 +....+ 50) - (1 + 2 +.....+ 45) What will be the result?
Answer:
(1+2+...+50) includes all of the numbers added until 45, meaning that our result is 46+47+48+49+50 = 240
pls mark as brainliest
If point S is located at (0, 0), point T is located at (0, 6), point U is located at (12, 0), and point V is located at (0, 10), what are the coordinates of point W that makes △STU ~ △SVW?
Answer:
(2,0)
Step-by-step explanation:
it is
Answer:
(2,0)
Step-by-step explanation:
A 29 foot ladder leans against a building so that the angle between the ground and the ladder is 77º. How
high does the ladder reach up to the side of building? Round to one decimal place.
ft
Answer:
5 √ 10 + 2 √ 5 ft high
Step-by-step explanation:Explanation:
Let h be the height to which latter of length of 20 ft reach then using Sine formula in right triangle with hypotenuse 20 & vertical leg h & opposite acute angle 0 = 72∘ sin θ =h 20 sin 72∘= h 20
h
=
20
sin
(
90
∘
−
18
∘
)
=
20
cos
18
∘
=
20
(
√
10
+
2
√
5
4
)
=
5
√
10
+
2
√
5
What is 13758 to the nearest 10
Answer:
13760
Step-by-step explanation:
Write an equation in point-slope form of the line having the given slope that contains the given point. m = -2, (4, -2)write an equation in point slope form of the line having the given slope that contains the given point m equals negative 2, (4,-2)
Answer:
Point-slope form: y+2=-2(x-4)
Find f(2) if f(x) = 2x + 1
Answer: f(2)=5
Step-by-step explanation:
f(2)=2(2)+1=5
f(2)=5
For each statement, select the correct null hypothesis, H0, and alternative hypothesis, Ha, in symbolic form.1. A certain type of hummingbird is known to have an average weight of 4.55 g. A researcher wonders if hummingbirds (of this same type) living in the Grand Canyon differ in weight from the population as a whole. The researcher finds a sample of 30 such hummingbirds from the Grand Canyon and calculates their average weight to be 3.75 g.A. H0:x¯=4.55, Ha:x¯<4.55.B. H0:μ=3.75, Ha:μ≠3.75.C. H0:x¯=3.75, Ha:x¯>3.75.D. H0:μ<4.55, Ha:μ=4.55.E. H0:μ=4.55, Ha:μ<4.55.F. H0:μ=4.55, Ha:μ≠4.55.2. According to the Merck Veterinary Manual, the average resting heart rate for a certain type of sheep dog is 115 beats per minute (bpm). A Montana farmer notices his aging sheep dog has been acting more lethargic than usual and wonders if her heart rate is slowing. He measures her heart rate on 15 occasions and finds a sample mean heart rate of 118.2 bpm.A. H0:μ=115, Ha:μ<115.B. H0:μ=115, Ha:μ≠115.C. H0:x¯=118.2, Ha:x¯≠118.2.D. H0:μ=115, Ha:μ>115.E. H0:x¯=115, Ha:x¯>115.F. H0:μ=118.2, Ha:μ<118.2.3. The mean height of all adult American males is 69 inches (5 ft 9 in). A researcher wonders if young American males between the ages of 18 and 21 tend to be taller than 69 inches. A random sample of 100 young American males ages 18 to 21 yielded a sample mean of 71 inches.A. H0:x¯=69, Ha:x¯>69.B. H0:μ=71, Ha:μ<71.C. H0:μ=69, Ha:μ≠69.D. H0:μ>69, Ha:μ<69.E. H0:μ=69 , Ha:μ>69.F. H0:x¯=71, Ha:x¯<71.
Answer:
F.) H0:μ=4.55, Ha:μ≠4.55
A.) H0:μ=115, Ha:μ<115
H0:μ=69 , Ha:μ>69
Step-by-step explanation:
The null and alternative hypothesis are used in hypothesis testing.
Generally, both hypothesis negatives each other, with the alternative being the opposite of the null hypothesis.
1)the mean value of the population is 4.55 ; the researcher aims to test if the mean value differs from thus value, hence, Alternative ; μ ≠ 4.55
2.) The mean resting heart rate is said to be 115 ; this is the null claim. The reaesrch aims to test if heart rate slows down with age. Hence, the alternative will be to show that mean rate lesser Than 115 as claimed (μ < 115)
3.) Theean height of the population is claimed to be 69. Researcher aims to test if some people within the population have mean height abive this said height. (μ > 69)
Need help asap isnt too hard i just dont understand
the is a. 21
Two Angles are Complementary when they add up to 90 degrees (a Right Angle).
The length of a diving board is 378 cm what is the length in meters?
mark brainliest
Answer:
3.78
Step-by-step explanation:
378/100 =3.78
100cm=1meter
A point-slope form of a line that has a slope of 4 and goes through (2, 1) is...
Answer:
[tex] \huge \orange{y - 1 =4(x - 2) } \\ [/tex]
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
From the question we have the final answer as
[tex]y - 1 = 4(x - 2)[/tex]
Hope this helps you
GIVING 30 POINTS AND BRAINLIEST NEED HELP QUICK
which reason justifies step 5 a. das b.sss c.asa. d.aas
Answer:
D) aas
look i wanted to tell whoever is reporting peoples answers for no reason plz STOP. It's really annoying cause if you keep doing that people will get banned for no reason. So like i said plz stop reporting for no reason
Anita went to the store with her friend Myra, she paid $60 for 3 blouses. She bought 2 blouses for herself and one blouse for Myra. How much money does Myra owe Anita for one blouse?
Answer:
20 because she paid 20 for each shirt
Step-by-step explanation:
60/3=20
How do you solve y=6x+8
Nikki’s Pizza Joint charges $14 for a super-duper cheese pizza and $2 for each extra topping. How many toppings can you order for $25?
Answer:
5 toppings
Step-by-step explanation:
The formula is y=2x+14 with x being the number of toppings and y the total price.
Plug in 25 as y to see how much x would be at that price.
25=2x+14
11=2x
x=5.5
You can't get half of a topping so you would have to round down to 5 toppings.
Answer:
you can order 4 toppings but if you wanted a specific answer, it would be 5.5
Step-by-step explanation:
you have 25, subtract 14, you have 11, divide 11 by 2, you get 5.5 but you cant get half so you have 4 if you round it
Which relation is not a function?
Question 3
If the sales tax for the city of Los Angeles is 9,75%, how much tax would you pay for an item that costs $500.00?
Answer:
$48.75
Step-by-step explanation:
500.00 x 9.750=$48.75 sales tax
Find three consecutive odd integers such that the sum of the smallest number and
twice the middle number is 10 more than the largest number.
Answer:
As the first number is 5, the second will be 7, and the third will be 9.
Step-by-step explanation:
First, let's break down what the information is telling us.
"three consecutive odd integers" means each number is 2 away from each other. So if we were to assign the variable x as the first number, the second would be x + 2 and the third would be x + 4
"sum of the smallest number and twice the middle number" refers to adding the first number and 2 times the second number. So we would write:
x + 2(x + 2)
"is 10 more than the largest number" connects the second part to an equation. This is saying the third number plus 10. So for this, we would write:
(x + 4) + 10
Now we join the information that we have written mathematically into an equation. Since we have an equation, we can solve for the first number, and hence the second and third numbers.
x + 2(x + 2) = (x + 4) + 10
x + 2x + 4 = x + 14
3x + 4 = x + 14
2x = 10
x = 5
As the first number is 5, the second will be 7, and the third will be 9.
The key idea for solving this question is to define a variable and connect it to an equation using the information provided. Try to think about how much information is needed and how many variables need to be defined.
uhh jus look at the picture
