The momentum of an arrow with a mass of 2 kg traveling at a constant velocity of 10 m/s is 20 kg·m/s.
What is the momentum of a 2 kg arrow moving with a speed of 10 m/s?The momentum of an object can be calculated by multiplying its mass by its velocity. In this case, the mass of the arrow is 2 kg and the velocity is 10 m/s. By multiplying these values, we get the momentum of the arrow as 20 kg·m/s. Momentum is a vector quantity, meaning it has both magnitude and direction. In this case, since the arrow is traveling with a constant velocity, the momentum is in the same direction as the velocity.
Momentum is a fundamental concept in physics that describes the motion of an object. It is defined as the product of an object's mass and its velocity. In the first scenario, the mass of the arrow is given as 2 kg, and its velocity is stated as a constant 10 m/s. By multiplying the mass and velocity, we find that the momentum of the arrow is 20 kg·m/s. This value represents the quantity of motion possessed by the arrow and reflects the combined effect of its mass and speed.
Moving on to the second question, we are asked to determine the mass of a car traveling from Dubai to Abu Dhabi with a momentum of 180 kg·m/s and a velocity of 120 m/s. To calculate the mass, we rearrange the momentum equation and divide the momentum by the velocity. Doing so yields a mass of 1.5 kg for the car.
Finally, in the third question, Saleem's momentum is given as 35 kg·m/s, and his mass is 65 kg. To find his velocity, we rearrange the momentum equation once more and divide the momentum by the mass. The result is a velocity of 0.54 m/s for Saleem.
Momentum is a crucial concept in physics, as it helps us understand and quantify the motion of objects. By considering both mass and velocity, we can determine the momentum of an object and analyze its behavior. Remember, momentum is conserved in a closed system, meaning it remains constant unless acted upon by external forces. Understanding momentum allows us to explore the principles of motion and delve deeper into the laws of physics.
Learn more about: momentum
brainly.com/question/30677308
#SPJ11.
The radius of the circle is 13cm. what is the circumference of the circle 3.14
Answer:
Step-by-step explanation:
81.64
He sold a car for 247,250 at a profit of 15%, what was the price of the car?
Answer: Cost Price = 21,50,000
Step-by-step explanation:
Help-
This is due today
what are the hundred digits of pie?
Answer:
I've found a song for song for you
Step-by-step explanation:
3.14159, this is π
Followed by 2-6-5-3-5-8-9
Circumference over diameter
7-9, then 3-2-3
OMG! Can't you see?
8-4-6-2-6-4-3
And now we're on a spree
38 and 32, now we're blue
Oh, who knew?
7, 950 and then a two
88 and 41, so much fun
Now a run
9-7-1-6-9-3-9-9
Then 3-7, 51
Half way done!
0-5-8, now don't be late
2-0-9, where's the wine?
7-4, it's on the floor
Then 9-4-4-5-9
2-3-0, we gotta go
7-8, we can't wait
1-6-4-0-6-2-8
We're almost near the end, keep going
62, we're getting through
0-8-9-9, on time
8-6-2-8-0-3-4
There's only a few more!
8-2, then 5-3
42, 11, 7-0 and 67
We're done! Was that fun?
Learning random digits
So that you can brag to your friends
The total bill is 86.50 he leaves 15% tip what is the total cost of the meal
Answer:
99.47
Step-by-step explanation:
86.50/15 =
+86.50 =
99.47
⚠️⚠️⚠️⚠️Helppppp⚠️⚠️⚠️⚠️
Answer:
b.
Step-by-step explanation:
b. i think so (:
Hello!
I am 99.9% sure the answer is D! The reason is literal equations use primarily of letters. An example of this would be (A=πr2) or maybe (v=Dt) to understand a little bit better.
~(˘▾˘~)
3. Given the same sample statistics, which level of confidence would produce
the widest confidence interval? Explain your reasoning.
(a) 90% (b) 95% (c) 98%
(d) 99%
The width of a confidence interval is determined by the level of confidence and the variability of the data
. A higher level of confidence requires a wider interval to capture a larger range of possible values. Therefore, the widest confidence interval would be associated with the highest level of confidence.
In this case, option (d) 99% would produce the widest confidence interval. A 99% confidence interval is wider than a 90%, 95%, or 98% confidence interval because it allows for a greater level of certainty in capturing the true population parameter. This increased level of confidence necessitates a wider interval to accommodate a larger range of potential values.
Know more about confidence interval here;
https://brainly.com/question/32546207
#SPJ11
a group of scientists discovered a small creature at the bottom of the ocean that they called a "piknit". when this interesting creature dies, it explodes itself into a number of baby piknits called gogles. the scientists randomly selected 20 piknits from the sea-floor and measured their respective weights in grams. after the piknits died they counted the number of gogles that each piknit produced. they wanted to know if the weight of the piknits can be used to predict the number of gogles.
The weight of the piknits can be used to predict the number of gogles as there is Linear equation in variables may be defined as a linear courting among x and y, that is, variables.
In this case, x is the impartial variable, and y relies upon on it, so y is known as the established variables.
linear courting (or linear association) is a statistical time period used to explain a straight-line courting among variables. Linear relationships may be expressed both in a graphical layout or as a mathematical equation of the shape y = mx + b.
"There is no linear relationship between the weight of the and the number of glasses"
"There is a linear relationship.
A. Yes, because the scatterplot shows a linear pattern.
C. Yes, because a random sample was taken from Piknits for the scatterplots of the 4th and 5th residuals is.
Read more about number;
https://brainly.com/question/251701
#SPJ4
WILL GIVE BRAINLIEST (PLEASE SHOW WORK)
Evaluate sec (11pi/6) without using technology
In a study to determine frequency and
dependency of cell-phone usage relative to
students in Grade 11 and Grade 12, there
were 285 students
chosen at random, and
the following results were recorded. What is the probability that a student who does not have a cell phone is from grade 11?
Using it's concept, it is found that there is a 0.6 = 60% probability that a student who does not have a cell phone is from grade 11.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Researching the problem on the internet, it is found that there are 30 students with no cell phones, and of those, 18 are in grade 11, hence the probability is given by:
p = 18/30 = 0.6.
0.6 = 60% probability that a student who does not have a cell phone is from grade 11.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ2
Antonio constructs a model of a moon orbiting a planet along an elliptical orbit. The equation x^2/342. 25 + y^2/324 = 1
with units in inches, represents the shape of the orbit. If the planet is located at one of the foci, which phrase
describes a possible location of the model planet relative to the center?
The describes a possible location of the model planet relative to the center is 4.3 in. to the right of the center.
Thus, option (D) is correct.
Given equation: \(\( \dfrac{x^2}{342.25} + \dfrac{y^2}{324} = 1 \)\) represents an ellipse.
The standard form of an equation for an ellipse centered at the origin is
\(\( \dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} = 1 \)\),
where a is semi-major axis and b is semi-minor axis.
Comparing the given equation to the standard form,
\(\( a^2 = 342.25 \)\)
\(\( a = \sqrt{342.25}\)
= 18.5
and. \(\( b^2 = 324 \)\).
\(\( b = \sqrt{324}\)
= 18
In an elliptical orbit, the foci are located inside the ellipse along the major axis.
Since the planet is located at one of the foci, a possible location of the model planet relative to the center is: 4.3 inches to the right of the center.
This means the planet is located on the right side of the center along the major axis of the ellipse.
Thus, option (D) is correct.
Learn more about Ellipse here:
https://brainly.com/question/22335698
#SPJ12
The question attached here seems to be incomplete, the complete question is:
Antonio constructs a model of a moon orbiting a planet along an elliptical orbit. The equation \(\( \dfrac{x^2}{342.25} + \dfrac{y^2}{324} = 1 \)\), with units in inches, represents the shape of the orbit. If the planet is located at one of the foci, which phrase describes a possible location of the model planet relative to the center?
approximately 0.5 in. below the center
approximately 4.3 in. above the center
approximately 0.5 in. to the left of the center
approximately 4.3 in. to the right of the center
Historically, the members of the chess club have had an average height of \( 5^{\prime} 6 " \) with a standard deviation of 2 ". What is the probability of a player being between \( 5^{\prime} 5^{\pri
To solve this problem, we need to find the z-scores of both heights and use a z-score table to find the probabilities.
Given that the mean height of the members of the chess club is 5'6" with a standard deviation of 2". Thus, the distribution can be represented as N(5'6", 2). Firstly, we need to convert the height of the players in inches.
We know that 1 foot is 12 inches, so 5'6" is equivalent to (5*12) + 6 = 66 inches. Similarly, 5'5" is equivalent to (5*12) + 5 = 65 inches.The formula to find z-score is Where x is the height of the player, μ is the mean height and σ is the standard deviation. Substituting the values in the formula, we get the z-score Similarly, the z-score for 5'5 .
To know more about probabilities visit :
https://brainly.com/question/29381779
#SPJ11
Consider the three mutually exclusive projects that follow. The firm's MARR is 10% per year.
EOY Project 1 Project 2 Project
3 0−$10,000−$8,500−$11,000
1−3$5,125$4,450$5,400
1. Calculate each project's PW.
2. Which project would you recommend?
3. Determine the IRR of each project
4. Why might one project have the highest PW while a different project has the largest IRR?
The present worth (PW) of each project is calculated based on the given cash flows and the firm's minimum attractive rate of return (MARR) of 10% per year.
To calculate the PW of each project, we discount the cash flows at the MARR of 10% per year. The PW for each project is determined as follows:
Project 1: EOY 0: -\(10,000 + (5,125 / (1 + 0.10)^1) + (5,125 / (1 + 0.10)^2) + (5,125 / (1 + 0.10)^3) = $10,682.13\)
Project 2: EOY 0: -\(8,500 + (4,450 / (1 + 0.10)^1) + (4,450 / (1 + 0.10)^2) + (4,450 / (1 + 0.10)^3) = $9,202.79\)
Project 3: EOY 0: \(11,000 + (5,400 / (1 + 0.10)^1) + (5,400 / (1 + 0.10)^2) + (5,400 / (1 + 0.10)^3) = $9,834.71\)
The project with the highest PW is recommended. In this case, Project 1 has the highest PW of $10,682.13, so it would be the recommended project.
The IRR for each project can be determined by finding the discount rate that makes the PW equal to zero. Using the cash flows provided, the IRR for each project can be calculated using a trial-and-error approach or financial software. Let's assume the IRRs are as follows:
Project 1: IRR ≈ 17.5%
Project 2: IRR ≈ 15.3%
Project 3: IRR ≈ 13.8%
The project with the highest PW may differ from the project with the largest IRR due to the timing and magnitude of cash flows. The PW takes into account the timing of cash flows and discounts them to the present value. It represents the total value created by the project over its lifetime. On the other hand, the IRR considers the rate of return that equates the present value of cash inflows to the initial investment. It represents the project's internal rate of return.
Therefore, a project with a higher PW indicates higher overall value, while a project with a larger IRR implies a higher rate of return. These measures can lead to different rankings depending on the cash flow patterns and the MARR.
Learn more about discount here:
https://brainly.com/question/29205061
#SPJ11
answer the following, Round final answer to 4 decimal places. a.) Which of the following is the correct wording for the randon variable? r×= the percentage of all people in favor of a new building project rv= the number of people who are in favor of a new building project r N= the number of people polled r×= the number of people out of 10 who are in favor of a new building project b.) What is the probability that exactly 4 of them favor the new building project? c.) What is the probabilitv that less than 4 of them favor the new building project? d.) What is the probabilitv that more than 4 of them favor the new building project? e.) What is the probabilitv that exactly 6 of them favor the new building project? f.) What is the probability that at least 6 of them favor the new building project? 8.) What is the probabilitv that at most 6 of them favor the new building project?
In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.
a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.
b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.
c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.
d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).
e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.
f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).
g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).
To learn more about Binomial probability - brainly.com/question/12474772
#SPJ11
hey can yall answer 89 times 2863 pls hurry i will mark brainleist
Answer:
The answer is 89×2863=254,807.
Answer:
254,807
Step-by-step explanation:
We are going to use a method that breaks down the numbers and makes it easier to find the solution.
First, take 2000 from 2863 and 80 from 89.
So we have 2000 x 80 now.
We know that 80 x 1000 is 80,000 so we can double it to get 160,000.
2000 x 80 = 160,000
2000 x 9 = 18,000
863 x 80 = 69,040
863 x 9 = 7,767
7,767 + 69,040 + 18,000 + 160,000 = 254,807
Therefore, 254,807 is the correct answer
-kiniwih426
14. Mark weighs 74 pounds. Together, he and his sister weigh six pounds more than three tim the weight of his sister What is the weight, w. Of Mark's sister?
Weight, w of Mark's sister is 34 pounds
What is given in the question?
Mark's weight = 74 lb.
Mark's sister's weight = w lb.
Since Mark and his sister together weigh 6 lb. more than thrice the weight of Mark's sister alone.
We can write: 74 + w = 6 + 3w
According to the given question:
To solve this equation for w, first add -w to both sides of the equation.
74 + w - w = 6 + 3w - w
74 = 6 + 2w
Now add -6 to both sides and simplify:
74 - 6 = 6 + 2w -6
68 = 2w
Therefore, w= (68/2) = 34 lb
Let's verify the answer
Marks weight = 74 lb.
Marks's sister's weight = 34 lb
Sum of Mark and his sister's weight = 108
Three time Mark's sister's weight
= 3*34 = 102
Also 108 = 102+6 which is the statement of the problem.
To know more about weight problems visit
https://brainly.com/question/29321284
#SPJ4
A popular news article currently has 35,100 page views, and that number is rising 27% every
hour. How many page views will the article have in 4 hours?
Answer:
73008 views
Step-by-step explanation:
find 27% of 35100:
35100*27/100
=9477
so, you start with 35100 which means;
35100 + (9477*4)
35100 + 37908
= 73008 views
Answer: 91,311
Step-by-step explanation:
This is what it shows as correct on ixl.
Which relationship between the legs and the hypotenuse of the right triangle is correct?
Answer:
C. m^2+n^2=p^2
Step-by-step explanation:
The Pythagorean Theorem is a^2+b^2=c^2, so C is correct. This can be proven by using a triangle with the sides 3,4, and 5.
true or false im dumb sorry
Answer:
False
Step-by-step explanation:
Tell me if you need an explanation
Answer:
it's false.
4×4×4= 64.
Write the equation of the line (in slope-intercept form) that has an x-intercept at -6 and a y-intercept at 2. Provide a rough sketch of the line indicating the given points. [1 mark]. Exercise 2. For the polynomial f(x) = −3x² + 6x, determine the following: (A) State the degree and leading coefficient and use it to determine the graph's end behavior. [2 marks]. (B) State the zeros. [2 marks]. (C) State the x- and y-intercepts as points [3 marks]. (C) Determine algebraically whether the polynomial is even, odd, or neither.
To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.
To write the equation of the line with an x-intercept at -6 and a y-intercept at 2, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.
In this case, the y-intercept is given as 2, so the equation becomes y = mx + 2. To find the slope, we can use the formula (y2 - y1) / (x2 - x1) with the given points (-6, 0) and (0, 2). We find that the slope is 1/3. Thus, the equation of the line is y = (1/3)x + 2.
For the polynomial f(x) = -3x² + 6x, the degree is 2 and the leading coefficient is -3. The end behavior of the graph is determined by the degree and leading coefficient. Since the leading coefficient is negative, the graph will be "downward" or "concave down" as x approaches positive or negative infinity.
To find the zeros, we set the polynomial equal to zero and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two solutions: x = 0 and x = 2.
The x-intercept is the point where the graph intersects the x-axis, and since it occurs when y = 0, we substitute y = 0 into the polynomial and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two x-intercepts: (0, 0) and (2, 0).
To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.
Learn more about Polynomial here:
brainly.com/question/28973842
#SPJ11
The table below shows the cost of X pounds of bananas. What is the cost for 1 pound of bananas?
Here, we want to get the cost for one pound of banana
To do this, all we have to do is to divide the cost by the number of pounds
We can infact select any of the pairs
We have the cost as;
\(undefined\)organizations such as the u.s. centers for disease control (cdc) often use data collected from hospitals. what kind of data is the cdc using if it is collected by hospitals, then sold to the cdc for its own analysis? 1 point
Therefore ,the data they employ includes Second Party Data as a result, which is the solution to the given challenge of plotting data.
Data plotting: What is it?The most typical method of utilizing a chart to convey data is to graph the correlation of two additional variables. Diagrams created by hand or using a computer are also acceptable. From the origin, go three up, then 2 pieces to the right. On the reference system, it is important to display the digits for positions 2, 3, and 4. Be really explicit with your points. The pinkish squiggle with the letter P represents the value of 2.3. You must first generate a number line for each number in a collection of data to be able to create a chart.
Here,
Given :
Data gathered from hospitals is frequently used by institutions like the US Center of Disease Control (cdc).
In order to determine what data they use,
From the information provided, it is clear that they are using second-party data.
Therefore ,the data they employ includes Second Party Data as a result, which is the solution to the given challenge of charting the data.
To know more about plotting data visit:
https://brainly.com/question/29096917
#SPJ4
is x^2+3x+4 linear or quadratic
Answer:
Quadratic
Step-by-step explanation:
I have no idea how to explain it except that it follows the standard ax² + bx + c format
Quadratic is the answer to your question! :)
A city planner wants to build a road perpendicular to D Street. What should be the slope of the new road?
The slope of the new road is zero.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Take points from the Graph (5, 0) and (5, 4).
Slope of a line = m = tanθ
where θ is the angle made by the line with the x−axis.
For a line parallel to y−axis ,θ= π/2.
∴m = tan π/2 = undefined
The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.
An horizontal line now has zero slope.
The new road has a zero slope as a result.
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ1
Which ordered pair is a solution of the inequality y≤1/3x−6
The ordered pair of the inequality will be (9,-3).
What is inequality?The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.
Given that inequality is given as y ≤ 1/3x−6.
The ordered pair can be calculated as:-
y ≤ 1/3x−6
Substitute the value of x equal to 9 and get the value of y,
y ≤ 1/3(9) - 6
y ≤ 3 - 6
y ≤ -3
Hence, the ordered pair will be (9,-3).
To know more about inequality follow
https://brainly.com/question/24372553
#SPJ9
The volumes of soda in quart soda bottles are normally distributed with a mean of 22.3 oz and a standard deviation of 1.6 oz. What is the probability that the volume of soda in a randomly selected bottle will be less than 23.1 oz?
The probability of the volume of soda in a randomly selected bottle being less than 23.1 oz is 69.15%, based on the given mean and standard deviation of the distribution.
To find the probability that the volume of soda in a randomly selected bottle will be less than 23.1 oz, we need to use the normal distribution formula and standardize the value.
We can begin by calculating the z-score, which is the number of standard deviations the value of 23.1 oz is away from the mean of 22.3 oz:
z = (x - μ) / σ
z = (23.1 - 22.3) / 1.6
z = 0.5
Using a standard normal distribution table or calculator, we can find the probability of obtaining a z-score of 0.5, which is 0.6915. This means that there is a 69.15% probability that a randomly selected bottle of soda will have a volume of less than 23.1 oz.
To know more about probability here
https://brainly.com/question/11234923
#SPJ4
How many five card hands can
be dealt from a standard deck of
52 cards?
Answer:
2
Step-by-step explanation:
équation : 3x + 4 = 10
Answer:
x=2
Step-by-step explanation:
3x+4=10 (Carry the 4 to the other side)
3x=6 (Divide both sides by 3)
x=2
Hello !
Answer:
\(\Large \boxed{\sf x=2}\)
Step-by-step explanation:
We want to find the value of x that verifies the following equation :
\(\sf 3x + 4 = 10\)
Let's isolate x !
First, substract 4 from both sides :
\(\sf 3x+4-4=10-4\\3x=6\)
Now divide both sides by 3 :
\(\sf\frac{3x}{3}=\frac{6}{3} \\ \boxed{\sf x=2}\)
Have a nice day ;)
how do you break down 213 in times
Answer:2 hundred+1 tens+3 ones
Step-by-step explanation:
Simplify the expressions below.
8-13-(-4)= -1 b. 4-(-7)+(-2)= 9 c. -7+3-20= -24