a football is kicked with a speed of 18 m/s at an angle of 65° to the horizontal. what are the respective horizontal and vertical
(a) what are the horiznntal and vertical components of the initial velonicity of football
(b) How long is football in air
(c) How far does football travel horizontally before it hits the ground
Answers
The football travels about 29.67 meters horizontally before hitting the ground.
(a) We can find the horizontal and vertical components of the initial velocity of the football using trigonometry. Let v be the initial speed of the football, and let θ be the angle it is kicked at.
The horizontal component of the velocity is given by:
vx = v cosθ
Plugging in the values for the speed and angle, we get:
vx = 18 cos 65° ≈ 7.49 m/s
The vertical component of the velocity is given by:
vy = v sinθ
Plugging in the values for the speed and angle, we get:
vy = 18 sin 65° ≈ 16.59 m/s
So the horizontal component of the initial velocity is about 7.49 m/s, and the vertical component is about 16.59 m/s.
(b) We can find the time the football is in the air using the vertical component of the velocity and the acceleration due to gravity, which is -9.81 m/s^2 (negative because it acts downward). We can use the following kinematic equation:
vf = vi + at
where vf is the final velocity, vi is the initial velocity, a is the acceleration, and t is the time.
When the football reaches its maximum height, its vertical velocity will be zero. We can use this to find the time it takes to reach the maximum height:
0 = vy + at_max
Solving for t_max, we get:
t_max = -vy/a = -(18 sin 65°)/(-9.81) ≈ 1.98 s
The total time the football is in the air is twice the time it takes to reach the maximum height:
t_total = 2t_max ≈ 3.96 s
So the football is in the air for about 3.96 seconds.
(c) We can find the horizontal distance the football travels before hitting the ground using the horizontal component of the velocity and the time the football is in the air. We can use the following kinematic equation:
Δx = vxt
where Δx is the distance traveled, vx is the horizontal component of the velocity, and t is the time.
Plugging in the values for vx and t, we get:
Δx = (7.49 m/s) × (3.96 s) ≈ 29.67 m
So the football travels about 29.67 meters horizontally before hitting the ground.
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Related Questions
Find x in this proportion.
16 = X
x. = 4
O 64
O 16
O 32
8
Answers
Answer:
32
Step-by-step explanation:
16/x = x/4, then cross multiply:
16 times 4 = 64
x times x = 2x
64 = 2x
/2 /2
32 = x
hope this helps!
this question is very confusing are u trying to find the proportion of Find x in this proportion.
16/x = x/4 if so the answer is 8
Step-by-step explanation: because 16 divided by 8 is 2 and 8 divided 4 is 2
In the data set below, what is the mean absolute deviation?
8 4 2 3 6
If the answer is a decimal, round it to the nearest tenth.
mean absolute deviation (MAD):
Answers
The mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).
We have,
In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.
To find the mean absolute deviation (MAD), we need to first calculate the mean of the given data set:
mean = (4 + 5 + 7 + 9 + 8) / 5 = 6.6
Next, we calculate the deviation of each data point from the mean:
|4 - 6.6| = 2.6
|5 - 6.6| = 1.6
|7 - 6.6| = 0.4
|9 - 6.6| = 2.4
|8 - 6.6| = 1.4
Then we find the average of these deviations, which gives us the mean absolute deviation:
MAD = (2.6 + 1.6 + 0.4 + 2.4 + 1.4) / 5 = 1.6
Therefore, the mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).
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Use synthetic division to solve (3 x Superscript 4 Baseline 6 x cubed 2 x squared 9 x 10) divided by (x 2). What is the quotient? 3 x cubed 12 x squared 26 x 61 StartFraction 132 Over x 2 EndFraction 3 x cubed 2 x 5 3 x cubed 12 x squared 26 x 61 StartFraction 132 Over x minus 2 EndFraction 3 x Superscript 4 Baseline 2 x squared 5 x.
Answers
answer: B (3x^3+2x+5)
i did it on edg and got it right! have a good day! :)
Answer:
B (3x^3+2x+5)
Step-by-step explanation:
EDGE2022
Slope of the line represented by the equation y=4/5 times -3
Answers
Answer:
The slope of the line=4/5
Step-by-step explanation:
The formula y=mx + b is set up in slope-intercept form, where m=slope and b=y-intercept
y=mx + b
b= -3
m= 4/5
Note: b can be negative or positive
Therefore, the slope=4/5
123 degrees
3x degrees
Answers
Answer:
Step-by-step explanationthe answer is 19 because your trying to find 180 and your timing that 3 by what ever gets you the extra of 180 so you do 19 ×3 equaling 57 and then you add in that 123 and it all equals 180
The value of x is 19°.
What are linear pairs?A linear pair of angles are formed when two lines intersect each other at a single point.
Given a pair of angles which are on a straight line and so, making a linear pair,
123°+3x=180°
3x = 57°
x = 19°
Hence, x = 19°
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have any of you read chike and the river
Answers
Answer:
Yes, I have it's about a Nigerian boy called Chike who leaves his village, Umuofia, to go and stay with his uncle in the big city of Onitsha.
Plzz I asked this three times! The Functions r and s are defined as follows.
r(x)=-2x+2
s(x)=x^2+2
Find the value of s(r(2)).
Answers
Answer:
s(r(2)) = 6
Step-by-step explanation:
You would first solve for r(2). You then input r(2) which equals -2 into s(r(2)).
r(x)= -2x + 2
r(2)= -2(2) + 2
r(2)= -4 +2
r(2)= -2
s(x)=x² + 2
s(r(2)) = (-2)² +2
s(r(2)) = 6
Find all the second order partial derivatives of the given function. f(x, y) = x^2 + y - e^x + y^2 f/x^2 = 1 - e^x + y;^2 f/y^2 = -e^x + y;^2f/y x =^f/x y = -e^x + y^2 f/x^2 = 2 - e^x + y;^2 f/y^2 = -e^x + y;^2f/y x =^f/x y = -e^x + y^2 f/x^2 = 2 - y^2 e^x + y;^2 f/y^2 = -x^2 e^x + y;^2f/y x =^f/x y = -y^2 e^x + y^2 f/x^2 = 2 + e^x + y;^2 f/y^2 = -e^x + y;^2f/y x =^f/x y = -e^x + y Solve the problem. Evaluate dw/dt at t = 1/2 pi for the function w(x, y) = x^2 - y^2 + 10x; x = cost, y = sin t. a)6 b)-10 c)3 d)8
Answers
The second-order partial derivatives of \(\(f(x, y) = x^2 + y - e^x + y^2\)\)are:
\(\(\frac{{\partial^2 f}}{{\partial x^2}} = 2 - e^x\), \(\frac{{\partial^2 f}}{{\partial y^2}} = 2\),\(\frac{{\partial^2 f}}{{\partial x \partial y}} = 0\),\(\frac{{\partial^2 f}}{{\partial y \partial x}} = 0\)\) . The value of \(\(w(x, y) = x^2 - y^2 + 10x\)\) at \(\(t = \frac{1}{2}\pi\)\) is -1. The value of \(\(\frac{{dw}}{{dt}}\)\)at \(\(t = \frac{1}{2}\pi\)\) is -10.
The second-order partial derivatives of the function f(x, y) = x² + y - eˣ+ y² are as follows:
The second partial derivative with respect to x, denoted by (∂²f)/(∂x²), evaluates to 2 - eˣ. This derivative represents the rate of change of the rate of change of f with respect to x.
The second partial derivative with respect to y, (∂²f)/(∂y²), simplifies to 2. It represents the rate of change of the rate of change of f with respect to y. The mixed partial derivatives, (∂²f)/(∂x∂y) and (∂²f)/(∂y∂x), both evaluate to 0. This indicates that the order of differentiation does not affect the result, implying symmetry in the mixed partial derivatives.
To evaluate the function \(w(x, y) = x^2 - y^2 + 10x\) at t = 1/2π, we substitute x = cos(t) and y = sin(t). Substituting these values into the expression for w yields w(cos(t), \(sin(t)) = cos^2(t) - sin^2(t) + 10cos(t)\). Plugging in t = 1/2π, we find w(0, 1) = -1.
Finally, to find dw/dt at t = 1/2π, we differentiate w with respect to t and substitute t = 1/2π. By taking the derivative, we obtain dw/dt = -2sin(t)cos(t) - 2sin(t)cos(t) - 10sin(t). Substituting t = 1/2π gives dw/dt|t=1/2π = -10.
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9. At a high school, 40% of the students play an instrument. Of those students, 20% are freshmen. Of the students who do not play an instrument, 30% are freshmen. What is the probability that a student selected at random is a freshman who plays an instrument?
Answers
Answer:
0.6%
Step-by-step explanation:
40% is the percentange of how many students play an instrument. (the whole) 20% is how many freshmen play. (part)
30% are the freshmen. 30% is over 100%.
20 x 100= 2000 and 40 x 30= 1200.
With the answers we got (2000 and 1200) we divide!!
2000÷1200=0.6
Which means the probabillity that the student is a random freshmen is 0.6% :)
the statistical range, with a given probability, that takes random error into account is called the
Answers
The statistical range that takes random error into account, with a given probability, is known as the confidence interval. It provides a measure of uncertainty associated with a particular estimate or sample statistic. In the first paragraph, we'll provide a summary of the answer.
A confidence interval consists of two values, an upper and a lower bound, within which the true population parameter is likely to fall. The range is determined by the desired level of confidence, often expressed as a percentage (e.g., 95% confidence interval). The confidence interval considers both the variability within the sample data and the desired level of certainty. It acknowledges that due to random sampling error, the estimate obtained from a sample may differ from the true population parameter. In the second paragraph, we'll delve into an explanation of the answer.
To understand confidence intervals, we need to consider the concept of sampling variability. When we collect a sample from a population, it's rare for the sample to perfectly represent the entire population. There will be inherent variation due to random chance. This variability is known as sampling error. Confidence intervals take into account this sampling error and provide a range of values within which the true population parameter is likely to exist.
The level of confidence chosen for the interval represents the desired probability that the range will contain the true parameter. Commonly used confidence levels are 90%, 95%, and 99%. For example, a 95% confidence interval implies that if we were to repeat the sampling process many times, 95% of the resulting intervals would contain the true population parameter. The wider the interval, the higher the level of confidence, and vice versa.
In conclusion, a confidence interval is a statistical range that incorporates random error and provides an estimate of the likely range within which the true population parameter exists. It considers the desired level of confidence and takes into account the inherent variability due to random sampling error. Confidence intervals are an essential tool in statistical inference, allowing researchers and analysts to quantify the uncertainty associated with their estimates and draw meaningful conclusions from sample data.
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At priscilla's purse warehouse, it takes 2/3 of a day to complete 1/9 of an order of purses. At this rate , how long will it take to complete the entire order of purses?
Answers
Answer:
6 days
Step-by-step explanation:
The computation of the number of days to complete the entire order of purses is shown below:
As according to the question
It takes 2 by 3 for complete of 1 by 9 of a purses order
So the number of days that need to complete the entire order is
\(= \frac{2}{3} \times \frac{9}{1}\\\\= 6\ days\)
You take 4 hours to put together 32 units. How many hours would it take you to put together 56 units
Answers
It would take you 7 hours to put together 56 units based on the given information.
To solve this problem, we can set up a proportion using the given information.
Let x represent the number of hours it would take to put together 56 units.
According to the given information, it takes 4 hours to put together 32 units. So, the ratio of time to units is 4 hours / 32 units.
We can set up a proportion with this ratio:
4 hours / 32 units = x hours / 56 units
To solve for x, we can cross-multiply:
32 units * x hours = 4 hours * 56 units
32x = 224
Divide both sides by 32:
x = 224 / 32
Simplifying the division:
x = 7
Therefore, using the information provided, you could put 56 units together in 7 hours.
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A bank has two flagpoles next to each other. If the taller 30-foot flagpole casts a shadow of 20 feet, and the shorter flagpole casts a shadow of 15 feet, how tall is the shorter flagpole
Answers
The height of the shorter flagpole is 22.5 feet, given that the taller 30-foot flagpole casts a shadow of 20 feet and the shorter flagpole casts a shadow of 15 feet.
We have two flagpoles, a taller one and a shorter one. We are given the following information:
The taller flagpole is 30 feet tall, the taller flagpole casts a shadow of 20 feet, the shorter flagpole casts a shadow of 15 feet.
We want to find the height of the shorter flagpole, denoted as "h."
We can use the concept of similar triangles to solve this problem. Similar triangles have the same shape but can be different in size. In this case, the two flagpoles and their shadows form similar triangles.
Let's set up a proportion using the heights and shadows of the flagpoles: h / 15 = 30 / 20.
We know that the ratio of corresponding sides in similar triangles is equal. In this case, the ratio of the heights of the flagpoles is equal to the ratio of their shadows.
Now, we can solve the proportion to find the height of the shorter flagpole (h): h = (15 * 30) / 20
Simplifying the equation: h = 450 / 20
h = 22.5 feet. Therefore, the height of the shorter flagpole is 22.5 feet.
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Question 4
If 1/3 of a sum of money is $21, what is the sum of money?
uction 5
Answers
Answer:
63
Step-by-step explanation:
21+21+21
Answer:
$63
Step-by-step explanation:
To find the total sum, divide 21 by 1/3
21 / (1/3)
= 63
So, the sum of money is $63
Last year, half the graduates from Harold's Clown College became circus clowns. Another 60 graduates became rodeo clowns. The rest of the graduates became mimes. Harold's Clown College has 200 graduates last year. What percentage were mimes?Immersive Reader (3 Points) 20% 40% 60% 100%
Answers
Answer:
20 percent
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
since 100% is a 200, half of them were circus clowns 200/2 = 100
so 100 persons are 50%
from these 100, only 60 graduated as rodeo clowns and 40 as memes
1 percent of 200 is 2, so 40/2=20%
which statement is correct
Answers
I have to make this unnecessary long because yeah but the correct answer I believe is going to be the second one
Which table of ordered pairs represents a function?
Answers
Answer:
A
Step-by-step explanation:
T/F: the simulations for paired design and independent groups design are the same. just how the data are collected is different.
Answers
True. The simulations for paired design and independent group design are the same, but the way data is collected differs.
In paired design, data is collected from two related samples, while in independent groups design, data is collected from two unrelated samples. Despite this difference in data collection, the simulations for both designs are the same.
The simulations for paired design and independent group design are similar because they both involve testing a null hypothesis using statistical methods. In both designs, the goal is to determine whether there is a significant difference between two groups or samples.
However, in paired design, the difference between the two samples is calculated within each pair of related observations, while in independent groups design, the difference is calculated between two unrelated samples. The simulations for both designs involve generating random data sets based on assumptions about the population parameters and testing whether the observed differences between groups are statistically significant.
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5 ( x + 10 ) = 30 solve for x
Answers
Answer:
x = -4
Step-by-step explanation:
Give Me brainllest
Answer:
-4
Step-by-step explanation:
Given: 5(x + 10) = 30
Divide: /5 /5
Subtract: x + 10 - 10 = 6 - 10
Solve: x = -4
4.5x67=
6/5x78=?
20-100=+3,000
Answers
6/5x78=63.6
20-100+3000=2920
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 82° is changed to 94°, which of the following measures changes the most and what is the new value?
a. IQR 34°
b. Range 48°
c. Mean 81.4°
d. Median 84°
Answers
We can see that the value that changes the most is the mean. It increases from 81.4167 to 82.5, a difference of 1.0833. Therefore, the answer is c. Mean 82.5°.
What is statistics?In the field of mathematics known as statistics, data gathering, analysis, interpretation, presentation, and organisation are all addressed. It is used to summarise data and derive conclusions from it in order to obtain insights from it. Descriptive statistics and inferential statistics are the two main categories of statistics.
To answer this question, we need to calculate the measures before and after the change of 82° to 94°.
Before the change:
Mean = (58+61+71+77+91+100+105+102+95+82+66+57)/12 = 81.4167Median = the middle value when the temperatures are arranged in order: 77Range = highest temperature - lowest temperature = 105 - 57 = 48IQR = Q3 - Q1, where Q3 is the third quartile and Q1 is the first quartile. To find these, we need to arrange the temperatures in order and find the median of the lower half (Q1) and the median of the upper half (Q3). The temperatures in order are: 57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105. Q1 = (61+66)/2 = 63.5, Q3 = (100+102)/2 = 101. Therefore, IQR = 101 - 63.5 = 37.5After the change:
Mean = (58+61+71+77+91+100+105+102+95+94+66+57)/12 = 82.5Median = the middle value when the temperatures are arranged in order: 82Range = highest temperature - lowest temperature = 105 - 57 = 48IQR = Q3 - Q1. To find these, we need to arrange the temperatures in order and find the median of the lower half (Q1) and the median of the upper half (Q3). The temperatures in order are: 57, 58, 61, 66, 71, 77, 82, 91, 94, 95, 100, 102, 105. Q1 = (61+66)/2 = 63.5, Q3 = (100+102)/2 = 101. Therefore, IQR = 101 - 63.5 = 37.5Comparing the measures before and after the change, we can see that the value that changes the most is the mean. It increases from 81.4167 to 82.5, a difference of 1.0833. Therefore, the answer is c. Mean 82.5°.
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Consider what you know about the sampling distribution of the sample proportion. This sampling distribution:
a. will become more variable as the sample size increases.
b. will be Normal in shape only if the sample size is at least 100.
c. will have a center equal to the population proportion, or p.
d. has a shape that is skewed to the right, regardless of sample size.
e. is a collection of the parameters of all possible samples of a particular size taken from a particular populatio
Answers
From the sampling distribution we know:
a. will become more variable as the sample size increases.
What is sampling distribution?A sampling distribution is the probability distribution of a statistic that was acquired from more samples taken from a certain population. The distribution of frequencies for a variety of potential outcomes that could happen for a population statistic makes up the sampling distribution of a specific population.
When it comes to the spread of all sample proportions, theory predicts behaviour far more accurately than just stating that larger samples have a smaller spread. In actuality, the sample size, n, and the standard deviation of each sample proportion.
Thus, option (a) correctly describe about sampling distribution of the sample proportion.
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Solve the following system using elimination
3x - 2y = 11 - 3x - y = 6
Answers
when you want to solve an elimination question
3x -2y = 11. ( equation 1)
-3x - y = 6. ( equation 2)
To proceed in the solution, we have to make one of the variable' s coefficient equal on both equation.
I want to make the coefficient of variable X equal on both equation and to do this , the coefficient of X in equation 1 will be used to multiply the whole of equation 2 .while the coefficient of X in equation 2 will be used to multiply the whole of equation 1.
(-3) 3X - 2y = 11 ( equation 1)
(3) -3X - y = 6 ( equation 2)
-9X +6y = -33 ( equation 1)
- 9x - 3y = 18 ( equation 2)
( now , we have to eliminate X and inorder to do that , we substrate equation 1 from 2)
-9X -(-9X) ,+6y -(-3y) ,-33-18
-9X +9x , +6y +3y , -51
9 y = -51
y = -51/9
y = -5⅔
Substitute y = -5⅔ in equation 1
3x -2(-5⅔) = 11
3X - 2 ( -17/3) = 11
3X + 34/3 =11
divide through by the LCM which is 3
3( 3x) + 3 ( 34 /3 ) = 3*11
9x +34 = 33
9x = 33-34
9x = -1
X= -1/9
therefore, y = -5⅔ , X = -1/9
please mark me brainlest
PLEASE HELP :(((((((((((((((((
Answers
Answer:
okay so you multiply the price of the snakes by how much he bought which is $5.00 so you can subtract $5 - $8 and you get $3.00 so that is how much is left over. Now you want to divide $3.00 by 2 and now you get $1.50. So each soda costed $1.50
Answer: $1.50
Step-by-step explanation: 4snacks x 1.25=$5 total
2s for sodas and his total is $8.
Your equation should look like this.
5+2s=8
-5 -5
2s=3
2 2
s= 1.50 for every soda.
what is 48020000 in sintiic notation
Answers
Answer:
4.802 x 10^7
Step-by-step explanation:
Hope this helps! :)
If this wasn't what you were looking for please don't hesitate to comment again. Have a nice day/night! :)
Answer:
4.802 x 10 power of 7
Step-by-step explanation:
i did this so i know
If you have 24 questions how many answers can you miss to have a passing grade
Answers
Answer:
you have to get 15 right so for 60% or above so you can miss 9
Step-by-step explanation:
60% of 24 is 14.4 round it up because if down its below 60% and no longer passing but it rounds to 15
Answer: 7
Step-by-step explanation:
Because if 6 is 75% we can conclude 7 is 71%
If two angles are supplementary to the same angle, then:
a. They are adjacent angles
b. They are congruent angles
c. They are complementary angles
d. They are congruent supplementary angles
Answers
The option D is the correct answer.
a. They are adjacent angles: Adjacent angles are angles that share a common side and vertex, but do not overlap. It is possible for two angles to be supplementary and adjacent, but it is not always the case. Therefore, option a is not the correct answer.
b. They are congruent angles: Congruent angles have the same measure. Two angles that are supplementary to the same angle can have different measures, so option b is not the correct answer.
c. They are complementary angles: Complementary angles are two angles that add up to 90 degrees. Since two angles that are supplementary to the same angle add up to 180 degrees, they cannot also be complementary. Therefore, option c is not the correct answer.
d. They are congruent supplementary angles: Congruent supplementary angles have the same measure and add up to 180 degrees. This is the correct answer because if two angles are supplementary to the same angle, their measures must be equal in order for their sum to be 180 degrees. Therefore, option d is the correct answer.
To summarize, if two angles are supplementary to the same angle, they are congruent supplementary angles because their measures are equal and add up to 180 degrees.
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if y = 4x + 0.5, find y when x =1.5
Answers
Answer:
= 6.5
Step-by-step explanation:
You have to plug in 1.5 for x
->
4(1.5) + 0.5 = 6.5
$13 per hourIf you WORKED 39:45 EveryWEEK, WHAT WOULD YOUR,Gross Monthly Income?
Answers
Given that y is inversely proportion to the square of ( x + 1),
(a) Express y in terms of x and k, where k is a constant
(b) Given that x = 4 when y = 2, find an equation connecting y to x.
(c) Hence, find the value of x when y = 4
Please help and thank you:)
Answers
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
See the solution below ~
\( \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}\)
a.) The required expression is ~
\(y \propto \dfrac{1}{(x + 1) {}^{2} } \)\(y = k \times \dfrac{1}{(x + 1) {}^{2} } \)here, k = proportionality constant ~
\(y = \dfrac{k}{(x + 1) {}^{2} } \)b.) Let's find the equation by Plugging the values as " x = 4 and y = 2 ~
\(2 = \dfrac{ k}{(4 + 1 {}^{} ) {}^{2} } \)now, the value of k can be determined ~
\(2 = \dfrac{k}{ {5}^{2} } \)\(2 = \dfrac{k}{25} \)\(k = 50\)c.) find the value of x when y = 4 ~
Plugging the value of x as 4 and k as 50, we get ~
\(y = \dfrac{50}{(4 + 1) {}^{2} } \)\(y = \dfrac{50}{ {5}^{2} } \)\(y = \dfrac{50}{25} \)\(y = 2\)I hope it helped ~