A hot air balloon is moving at a speed of 10 meters/second in the +x direction. The balloonist throws a brass ball with a velocity of -2 meters/second with respect to himself.
Answers
The brass ball has a velocity of 8 meters/second in the +x direction relative to an observer on the ground when the hot air balloon is moving at a speed of 10 meters/second in the +x direction and the ball is thrown with a velocity of -2 meters/second relative to the balloonist.
The resulting velocity of the brass ball, relative to an observer on the ground, depends on how we combine the velocities of the ball and the hot air balloon. Let's calculate it.
Given:
Hot air balloon velocity (V_balloon) = 10 meters/second in the +x direction
Ball velocity relative to the balloonist (V_ball_relative) = -2 meters/second
To determine the resulting velocity of the brass ball relative to an observer on the ground, we need to consider the relative motion between the balloon and the ball.
Since the balloon and the ball are moving in the same direction along the x-axis, we can add their velocities to find the resulting velocity of the ball relative to the ground.
V_ball_ground = V_balloon + V_ball_relative
Substituting the given values:
V_ball_ground = 10 meters/second + (-2 meters/second)
V_ball_ground = 8 meters/second in the +x direction
Therefore, the brass ball has a velocity of 8 meters/second in the +x direction relative to an observer on the ground when the hot air balloon is moving at a speed of 10 meters/second in the +x direction and the ball is thrown with a velocity of -2 meters/second relative to the balloonist.
Learn more about velocity here
https://brainly.com/question/31481665
#SPJ11
Related Questions
. In order to have a negative correlation between two variables, which of the following is most accurate? A. The covariance must be negative. B. Either the covariance or one of the standard deviations must be negative. C. The covariance can never be negative
Answers
In order to have negative correlation between two variables the covariance must be negative.
What is correlation?
The degree to which two variables are linearly related is expressed by the statistical concept of correlation (meaning they change together at a constant rate). It is a typical technique for outlining straightforward connections without stating cause and effect.
The correlation between two variables x and y is,
\(r = \frac{Cov(x, y)}{S_x*S_y}\)
where,
Cov(x, y) is the covariance between x and y.
\(S_x\) and \(S_y\) respectively denotes the standard deviation of x and y.
If the correlation is negative then r < 0.
Now r < 0
\(\frac{Cov(x, y)}{S_x*S_y} < 0\\Cov(x, y) < 0\\Sx > 0, S_y > 0\)
If r < 0 the Cov(x, y) < 0.
In order to have negative correlation between two variables the covariance must be negative.
Hence, in order to have negative correlation between two variables the covariance must be negative.
To know more about correlation, click on the link
https://brainly.com/question/2088651
#SPJ4
is equal to 1,024. Evaluate the following expressions.
a. 46
b. 44
43.42
Answers
Answer:
b is 256 c is 48
Step-by-step explanation:
Exercise 10
You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. What is the probability of the compound event? Write your answer as a fraction or percent rounded to the nearest tenth.
Answers
The probability of choosing a 5 and then a 6 is 1/49
Finding the probability of the compound eventFrom the question, we have the following parameters that can be used in our computation:
The tiles
Where we have
Total = 7
The probability of choosing a 5 and then a 6 is
P = P(5) * P(6)
So, we have
P = 1/7 * 1/7
Evaluate
P = 1/49
Hence, the probability of choosing a 5 and then a 6 is 1/49
Read more about probability at
https://brainly.com/question/31649379
#SPJ1
Question
You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6
Which is equivalent to 80
?
80
4
V80*
O 809
80
o
what is equivalent to 80 1/4?
Answers
Use Lagrange multipliers to find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the given plane. x + 3y + 4z = 9_______.
Answers
The largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + 3y + 4z = 9 has dimensions x = 1.5, y = 1, and z = 2.25, with a maximum volume of 3.375 cubic units.
To find the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + 3y + 4z = 9, we can use the method of Lagrange multipliers.
Let the sides of the rectangular box be represented by the variables x, y, and z. We want to maximize the volume V = xyz subject to the constraint x + 3y + 4z = 9.
The Lagrangian function is then given by L = xyz + λ(x + 3y + 4z - 9).
Taking the partial derivatives of L with respect to x, y, z, and λ, and setting them equal to zero, we get:
yz + λ = 0
xz + 3λ = 0
x*y + 4λ = 0
x + 3y + 4z - 9 = 0
Solving these equations simultaneously, we get:
x = 1.5, y = 1, z = 2.25, and λ = -0.5625
Therefore, the maximum volume of the rectangular box is V = 1.512.25 = 3.375 cubic units.
To learn more about coordinate planes
https://brainly.com/question/13611766
#SPJ4
Which of the following functions is graphed below?
15
o
10
5
a
-8
-6
-4
-20
2
4
6
8
-5
ſx? +6,x 53
O A. y =
1-x+6,X> 3
B. y =
Sx? +6.x > 3
1-x+6, XS 3
O C. y-{*#6. x3
ſx? +6,x2 3
D. y =
= {-x+6, x<3
Answers
Answer:
It's B
Step-by-step explanation:
Functions can be represented by tables and equations
The function represented by the table is f(x) = x + 1
From the table, we have the following ordered pairs
(x,y) = (-1,0) (0,1) (1,2) and (2,3)
Notice that the difference between the x and y values is 1.
So, we have:
y - x = 1
Add 1 to both sides
y = x + 1
Express as a function
f(x) = x + 1
Hence, the function represented by the table is f(x) = x + 1
Read more about linear functions at:
https://brainly.com/question/15602982
PLZ SOMEONE HELP ME plz
Answers
Answer:
The coordinates are
2,1
2, 3
4,3
3,1
Step-by-step explanation:
public class BinarySearch \{ public static void main(Stringll args) f int [1]yl ist ={1,2,3,7,10,12,20}; int result = binarysearch ( inylist, 20); if (result =−1 ) System, out, println("Not found:"); else System.out.println("The index of the input key is " + result+ ". "): y public static int binarysearch(int]l List, int key) \{ int low =0; int high = iist. length −1 while (high >= low) \& int mid =( low + high )/2; if (key < List [mid] high = mid −1; else if (key =1 ist [ mid ] ) return inid; else low = mid +1; return −1; // Not found \} l TASK 4: Binary Search in descending order We have learned and practiced the implementation of the binary search approach that works on an array in ascending order. Now let's think about how to modify the above code to make it work on an array in descending order. Name your new binary search method as "binarysearch2". Implement your own code in Eclipse, and ensure it runs without errors. Submit your source code file (.java file) and your console output screenshot. Hint: In the ascending order case, our logic is as follows: int mid =( low + high )/2 if ( key < list [mid] ) else if (key = ist [mid]) return mid; In the descending order case; what should our logic be like? (Swap two lines in the above code.)
Answers
The task involves modifying the given code to implement binary search on an array in descending order. The logic of the code needs to be adjusted accordingly.
The task requires modifying the existing code to perform binary search on an array sorted in descending order. In the original code, the logic for the ascending order was based on comparing the key with the middle element of the list. However, in the descending order case, we need to adjust the logic.
To implement binary search on a descending array, we need to swap the order of the conditions in the code. Instead of checking if the key is less than the middle element, we need to check if the key is greater than the middle element. Similarly, the condition for equality also needs to be adjusted.
The modified code for binary search in descending order would look like this:
public static int binarysearch2(int[] list, int key) {
int low = 0;
int high = list.length - 1;
while (high >= low) {
int mid = (low + high) / 2;
if (key > list[mid])
high = mid - 1;
else if (key < list[mid])
low = mid + 1;
else
return mid;
}
return -1; // Not found
}
By swapping the conditions, we ensure that the algorithm correctly searches for the key in a descending ordered array.
For more information on array visit: brainly.com/question/30891254
#SPJ11
help pls 1/3(3m+6)-2(2m+6)
1/3(3m+6)-2(3m+6)
Answers
Answer:
-5m - 10
Step-by-step explanation:
1/3(3m+6)-2(3m+6)
= 1m + 2 - 6m - 12
= -5m - 10
So, the answer is -5m - 10
Answer:
-5(m+2)
Step-by-step explanation:
1/3(3m+6)-2(3m+6)
combine like terms
-5/3(3m+6)
Distribute
-5m - 10
common factor
-5(m+2)
example 2 major premise: no dogmatists are scholars who encourage free thinking. minor premise: some theologians are scholars who encourage free thinking. conclusion: some theologians are not dogmatists. the major premise in example 2 is an proposition. the minor premise in example 2 is an proposition. the conclusion in example 2 is an proposition. therefore, the mood of the categorical syllogism in example 2 is .
Answers
The mood of the categorical syllogism in example 2 is AIO.
In your example, we have the following premises and conclusion:
1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.
The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).
To learn more about premises, refer here:
https://brainly.com/question/29699382#
#SPJ11
the margin of error is: a. the largest possible sampling error for a specified level of confidence; b. the critical value times the standard error of the sampling distribution; c. the difference between the point estimate and the parameter. a only b only c only a and b b and c a and c all of the above none of the above
Answers
The correct is b i.e; the critical value times the standard error of the sampling distribution
Given options are :
a. The biggest sampling error that can be made while maintaining a certain level of confidence.
b. the critical value multiplied by the sampling distribution's standard error
c. the discrepancy between the parameter and the point estimate.
Margin of error
= C * SE
Where C is critical value of on
of is the Standard error
The multiple of Critical Value and Standard error is the margin of error
Correct Option is b i. e the critical value times the Standard error of Sampling distribution
Therefore, The margin of error is the product of Critical Value and Standard Error.
To learn more about Margin of error click here:
brainly.com/question/10501147
#SPJ4
if the individuals in generation iii labeled 1 and 2 were to marry and have children, what is the probability that their first child will have the kidney disease?
Answers
The probability that their first child will have kidney disease is 1/8.
What is probability?
The proportion of favorable cases to all possible cases is used to determine how likely an event is to occur.
Here, we have
Both parents must be heterozygous to have a 1/4 chance of having an
affected child. Parent 2 is heterozygous (her father was homozygous recessive, but she has unaffected).
For the child to have the disease, both Parent 1 and Parent 2 would need to be heterozygous
There is a 50% chance of this for Parent 1 and a 100% chance of this for Parent 2 and then, there is a 25% chance that their first child will be affected:
50%× 100% × 25% = 12.5%
1/2 × 1/4 = 1/8
Hence, the probability that their first child will have kidney disease is 1/8.
To learn more about the probability from the given link
https://brainly.com/question/24756209
#SPJ4
What is 32 divided by 616? step by step answer please
Answers
as a simplified fraction, the answer is 4/77
as a decimal it is about 0.0519480519480519
4s4 17s2 14s 2 = (2s3 3s2-4s 1)(x)
Answers
The required difference of the polynomial functions is -9s^2 + 4s - 2
Given the following difference of polynomial expressed as:
(–6s2 + 12s – 8) – (3s2 + 8s – 6)
We are to find the difference
(–6s2 + 12s – 8) – (3s2 + 8s – 6)
Expand
–6s^2 + 12s – 8 - 3s^2 - 8s + 6
Collect the like terms
–6s^2- 3s^2 + 12s - 8s - 8 + 6
-9s^2 + 4s - 2
Hence the required difference of the polynomial functions is -9s^2 + 4s - 2
Learn more about of function here
brainly.com/question/3412347
#SPJ4
complete question
Find each difference.
(–6s2 + 12s – 8) – (3s2 + 8s – 6) =
–9s2 + 4s – 14
–9s2 + 4s – 2
–9s2 + 20s – 14
–9s2 + 20s – 2
it is determined that the value of a piece of machinery declines exponentially. a machine that was purchased 9 years ago for $77000 is worth $35000 today. what will be the value of the machine 7 years from now? round your answer to the nearest cent.
Answers
The value of the machine 7 years from now.
To determine the value of the machine 7 years from now, we can use the formula for exponential decay:
V(t) = V(0) * e^(-kt)
Where:
V(t) is the value of the machine at time t
V(0) is the initial value of the machine
k is the decay constant
t is the time in years
We are given that the machine was purchased 9 years ago for $77,000, so V(0) = $77,000. We also know that the current value of the machine is $35,000, so V(t) = $35,000.
We can plug in these values to find the decay constant:
$35,000 = $77,000 * e^(-k * 9)
Dividing both sides by $77,000:
e^(-k * 9) = $35,000 / $77,000
Taking the natural logarithm of both sides:
-ln(e^(-k * 9)) = ln($35,000 / $77,000)
Simplifying:
9k = ln($35,000 / $77,000)
Now we can solve for k:
k = ln($35,000 / $77,000) / 9
Now we can use this value of k to find the value of the machine 7 years from now:
V(7) = $77,000 * e^(-k * 7)
Substituting the value of k we found:
V(7) = $77,000 * e^(-ln($35,000 / $77,000) / 9 * 7)
Calculating this expression will give us the value of the machine 7 years from now.
learn more about "machine ":- https://brainly.com/question/27773337
#SPJ11
The value of the machine 7 years from now, based on the exponential decay model, will be about $17960.33.
Explanation:This question pertains to exponential decay. In mathematics, we often use the formula for exponential decay to analyze the decline of asset values over time. The formula is V(t) = V0 * e^(-kt), where V(t) is the value at time t, V0 is the initial value, k is the decay constant, and e is the base of natural logarithms (approximately equal to 2.71828).
Given that the initial value of the machine was $77000 and it is now worth $35000 after 9 years, we first solve for the decay constant k using the equation: 35000 = 77000 * e^(-9k). Solving for 'k', we find that k is approximated to 0.0613.
Now, to find the value of the machine 7 years from now (16 years total from the original purchase), we substitute these values into our formula, getting V(16) = 77000 * e^(-0.0613*16), which gives us a machine value of approx $17960.33, rounded to the nearest cent.
Learn more about Exponential Decay here:https://brainly.com/question/12900684
#SPJ12
Use the vertex ( h, k ) and a point on the graph ( x, y ) to find the standard form of the equation of the quadratic function:
Vertex = (1,-5)
Point = (5,-7)
G( x )= Answer field 1
(x- Answer field 2
)^2 +Answer field 3
Answers
The standard form of the equation of the quadratic function is y = -1/8x^2 + 1/4x - 41/8
How to find the standard form of the equation of the quadratic functionFrom the question, we have the following parameters that can be used in our computation:
(h, k) = (1, -5)
(x, y) = (5, -7)
A quadratic function is represented as
y = a(x - h)^2 + k
So, we have
y = a(x - 1)^2 - 5
Given that
(x, y) = (5, -7)
We have
-7 = a(5 - 1)^2 - 5
This gives
16a = -2
So, we have
a = -1/8
Recall that
y = a(x - 1)^2 - 5
So, we have
y = -1/8(x - 1)^2 - 5
Expand
y = -1/8(x^2 - 2x + 1) - 5
This gives
y = -1/8x^2 + 1/4x - 41/8
So, the required equation is y = -1/8x^2 + 1/4x - 41/8
Read more about quadratic function at
https://brainly.com/question/25841119
#SPJ1
Can you help find m<1
Answers
Answer:
69 degrees
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
<1 = 39+ 30
<1 = 69
what's -2 divided by -2
Answers
Answer:
1
Step-by-step explanation:
simple math..
2/2=1 if you have one - is -1, but if you have both negative than two minuses make positive
I don’t know what to do for this
Answers
Answer:
y = 22.75x
Step-by-step explanation:
−6(4a +3) Multiply the polynomial below
Answers
Answer:
\( - 6(4a + 3) \\ =( - 6 \times 4a) + ( - 6 \times 3) \\ = - 24a - 18 \\ \)
Step-by-step explanation:
-6(4a+3)
(-6×4a) (-6×3)
-24a-18is 1/2 x + 6 > 11 equal to x=-3
Answers
Answer:
Rewrite the whole as an equivalent fraction 2.1 Subtracting a whole from a fraction. Rewrite the whole as a fraction using 2 as the denominator.
what temperature is halfway between -23°F and +23°F
Answers
Answer:
The is 0 ur welcome
Step-by-step explanation:
ur welcome pls 5 star it
Cesar has a bag with 6 blue marbles,5 red marbles, and 9 black marbles. What is the probability of drawing 3 blue marbles in a row without replacement?
Answers
The required probability is 5/285.
Given that,
Number of blue marbles = 6
Number of red marbles = 6
Number of black marbles = 6
Use the conditional probability formula to determine the probability of drawing three blue marbles in a row without replacement.
Since there total 20 marbles,
Therefore,
The probability of drawing one on the first draw = 6/20
Since there are now only 5 blue marbles left out of a possible total of 19,
Assuming the first draw was a blue marble,
The probability of drawing another blue marble = 5/19.
The probability of drawing a third blue marble = 4/18
(because there are now only 4 blue marbles left out of a total of 18 marbles),
Given that the first two draws were blue marbles.
Thus, with no replacement, the probability of drawing 3 blue marbles in a row is,
= (6/20) (5/19) (4/18)
= 5/285.
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ1
Will give brainliest if correct
Find the slope:
15. (4, 3); (-1, 10)
16. (3, -5); (2, -5)
17. (-5, 2); (-5, 3)
Answers
Answer:
15) Slope (m) = -7/5
16) Slope (m) = 0
17) Slope (m) = 1/0 (It's an undefined slope, in other words it's just a vertical line)
Step-by-step explanation:
Use this formula for each, to find slope⤵⤵⤵
\( \frac{y {2} - y1}{x2 - x1} \)
15) ⤵
\( \frac{10 - 3}{ - 1 - 4} = \frac{7}{ - 5} = - \frac{7}{5} \)
16) ⤵
\(\frac{ - 5 - ( - 5)} {2 - 3} = \frac{0}{ - 1} = 0\)
17) ⤵
\( \frac{ 3 - 2}{ - 5 - ( - 5)} = \frac{1}{0} \)
Hope this helps :)
Help me with this equation please thanks.
Answers
Step-by-step explanation:
measure of the numbered angle : 24
Evaluate each expression if x = −2, y = −3, and z = 5.
2x + 3y + z
Answers
Answer:
-8
Step-by-step explanation:
;
you put in 2*-2+3*-3+5 and the answer is-8
WILL MARK BRAINLIST!!!!
A string of lights is 69 1/3 feet long. The lightbulbs are spaced 8 inches apart. The diagram shows the beginning of the string and the end of the string. What is the total number of lightbulbs on the string of lights?
Answers
Answer: 104
Step-by-step explanation:
I multiplied 69 1/3 by 12 to get how many inches it would. Then I divided that answer by 8 and got 103.999999999999. If you round it then you would get 104.
Find the circumference of this circle, to the nearest hundredth. Be sure to use *actual* pi in the calculator.
Answers
Answer: 63.61
Step-by-step explanation:
Find the total surface area of the following
cone. Leave your answer in terms of T.
4 cm
3 cm
SA = [?] cm²
π
Hint: Surface Area of a Cone = Tre + B
Where & slant height, and B = area of the base
Enter
![Find the total surface area of the followingcone. Leave your answer in terms of T.4 cm3 cmSA = [?] cmHint:](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/EbILtFBA3yhPxD3alKTXn54jIiYiU8y9.png)
Answers
Answer:
24π cm²Step-by-step explanation:
Surface area of cone = πrl + B
where
l is slant height
r is radius of cone
B is area of the base
First we have to calculate the area of base and Slant height
Area of base = πr² {r = radius = 3 cm}
Area of base = π (3)²
Area of base = 9π
Now,
Slant height (l)
l = √r² + h²
From the figure h is height i.e 4 cm
\(\sf l = \sqrt{3^2 + 4^2} \\ \\ \sf l = \sqrt{9 + 16} \\ \\ \sf l = \sqrt{25} \\ \\ \sf l = \sqrt{5 \times 5} \\ \\ \sf l = 5 cm \)
Slant height of cone is 5 cm
now, let's come to the Surface area of cone
Surface area of cone = πrl + B
Plugging in the value of r, l and B
= (π × 3 × 5) + 9π
= 15 π + 9π
= 24π
Hence, Surface area of the cone is 24π cm²
What is the place value of the "5" in the number 15,436,129? A. Billions B. Hundred Thousands C. Trillions D. Millions
Answers
Answer:
A. Billions
Step-by-step explanation:
Five is 7 spots over from the decimal spot. This means there are six zeros before five. 5,000,000.
This is the billions place value.