a jet travels 2544 miles against the wind in 4 hours and 3184 miles with the wind in the same amount of time. what is the rate of the jet in still air and what is the rate of the wind?
Rate of the jet in still Air is 716 miles per hour and
wind speed is 80 miles/hour.
What is relative velocity?The velocity of an item in relation to another observer is known as its relative velocity. It is the pace at which one item's relative location changes in relation to another object over time. When two bodies are travelling in opposing directions, their relative velocity is at its highest. They are approaching one another.
Let ‘X’ be speed of jet and
'Y’ be speed of Wind
Relative velocity when jet travels against wind: X - Y = ( 2544 / 4 ) = 636 miles/hour
Relative velocity when jet travels with wind is: X + Y = ( 3184 / 4 ) = 796 miles/hour
By adding these two equations we will get
2 X = 1432 or X = 716 miles /hour and
or, Y = 796 - 716 = 80 miles/hour
Hence,
Rate of the Jet in still Air is 716 miles per hour and
Wind speed is 80 miles/hour.
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Refer to the figure. Name the intersection of lines m and t.
Point B
Point C
Point D
Point H
Answer:
Point C
Step-by-step explanation:
Lines m and t are on the same plane
We can see that they intersect at Point C
(x + 3)^2 Write your answer as a list of values separated by commas.
The values are written in commas as x², 6x and 9
How to determine the valuesIt is important to note that algebraic expressions are expressions that are made of terms, variables, coefficients, factors and constants.
From the information given, we have the quadratic expression as:
(x + 3)^2
Now, take the following steps to determine the values
(x + 3)(x +3)
expand the bracket, we get;
x² + 3x + 3x + 9
Now, collect the like terms and add the values
x² + 6x + 9
Hence, the value is x² + 6x + 9
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Yall its 1.08pm and i need this answer by 3.30pm
How is finding the area of a parallelogram like finding the area of a rectangle?
Thank you guys
Answer:
Because in both cases you take the height multiplied with the base.
A roast beef sandwich costs $6.75. A customer buys multiple roast beef sandwiches. Write an equation that represents the situation. Use $x$ to represent the number of roast beef sandwiches. Then determine how many sandwiches the customer buys.
Amount Used for Payment $80
Change Received $19.25
An equation that represents this situation is
.
The customer buys
sandwiches.
Answer:
\(\frac{80-19.25}{6.75} = x\)
Step-by-step explanation:
Subtract $19.25 from the Amount Used for Payment ($80) to get the amount spent, then divide the amount of each sandwich to get the amount of sandwiches bought.
1) Use a tree to determine how many 5-bit binary strings there are with at least three consecutive 1's. Draw the tree.
2) Use a tree diagram to determine the number of subsets of {3, 7, 9, 11, 24} with the property that the sum of the elements in the subset is less than 28. How many subsets are possible?
1) The number of 5-bit binary strings with at least three consecutive 1's is 26.
Tree diagram for 5-bit binary strings with at least three consecutive 1's:
_________ 1 _________
/ \
_______ 1 _______ _______ 0 _______
/ \ / \
_____ 1 _____ ____ 0 ____ ____ 0 ____
/ \ / \ / \
___ 1 ___ 0 0 ___ 1 ___ 0 ___ 1 ___
/ \ / \ / \
1 0 0 1 0 0
In the tree diagram, each level represents a bit position, starting from the leftmost bit (bit position 1) to the rightmost bit (bit position 5). Each branch represents a choice between 1 and 0 for that bit position.
The tree branches to the left when a 1 is chosen and branches to the right when a 0 is chosen. At each level, we keep track of the number of consecutive 1's encountered so far.
The paths leading to a node where the number of consecutive 1's is greater than or equal to 3 represent valid 5-bit binary strings with at least three consecutive 1's. Counting these paths, we find that there are 8 such strings.
2) The number of subsets of {3, 7, 9, 11, 24} with the property that the sum of the elements in the subset is less than 28 is 19.
Tree diagram for subsets with the sum of elements less than 28:
__________ {}
/
{24}
/ \
{} {24, 11}
/ \ / \
{11} {24, 9} {11, 24} {24, 9, 11}
/ \ | |
{} {11, 7} {9} {11, 7, 24}
/ \ | |
{7} {11, 3} {7, 24} {7, 11, 24}
/ \ |
{} {3} {7, 11}
In the tree diagram, each level represents the inclusion or exclusion of an element from the set {3, 7, 9, 11, 24}. The topmost node represents the empty set {}.
At each level, we have two branches: one for including the element at that level and another for excluding it. The elements are added to the subset as we traverse down the tree.
The paths leading to the nodes represent subsets where the sum of the elements is less than 28. Counting these paths, we find that there are 15 such subsets.
Therefore, there are 15 possible subsets of {3, 7, 9, 11, 24} with the property that the sum of the elements in the subset is less than 28.
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50 points!! pls answer
Draw a diagram to show the given information.
Given: M is the midpoint of segment RX. Line JK is the perpendicular bisector of segment RX.
Answer:
liar it only 25 points but its ok i like to help the answer is m is the midpoint of the segment RX uw u welcome
Step-by-step explanation:
Answer:
The midpoint is M
Step-by-step explanation:
Because if the midpoint is m for RX it has to be the same for JK.
In the following pictograph, how many total books have the four groups read?
a. 27
b. 90
c. 54
d. 9
Best answer gets brainliest!
Answer:
c; 54
Step-by-step explanation:
to find the answer you can first add all the books together
this can be represented by
3 + 2 + 2.5 + 1.5
this answer is 9
then multiply it by 6
9 * 6 = 54
is is c
Which value is a solution of the equation 185 = w -120
Answer:
w= 305
Step-by-step explanation:
Add 120 to both sides to isolate w.
120+185=305
Let me know if this helped <3
Draw a sketch of y = x2 - x - 3for values of x in the domain -3 <=x<= 3. Write down the coordinates of the turning point in your solution. Hence, from your sketch, find approximate solutions to:x2 – X – 3 = 0.
The sketch of the function y = \(x^{2}\) - x - 3 for -3 <= x <= 3 reveals a parabolic curve that opens upwards. The turning point of the parabola, also known as the vertex, can be identified as (-0.5, -3.25).
To sketch the graph of y = \(x^{2}\) - x - 3, we consider the given domain of -3 <= x <= 3. The function represents a parabola that opens upwards. By calculating the coordinates of the turning point, we can locate the vertex of the parabola.
To find the x-coordinate of the turning point, we use the formula x = -b/2a, where a and b are the coefficients of the quadratic equation. In this case, a = 1 and b = -1. Substituting these values, we have x = -(-1)/2(1) = -0.5.
To find the y-coordinate of the turning point, we substitute the x-coordinate (-0.5) into the equation y = \(x^{2}\) - x - 3. Evaluating this expression, we get y = \(-0.5^{2}\) - (-0.5) - 3 = -3.25.
Therefore, the turning point of the parabola is approximately (-0.5, -3.25).
From the sketch, we can estimate the approximate solutions to the equation \(x^{2}\)- x - 3 = 0 by identifying the x-values where the graph intersects the x-axis. These solutions are approximately x ≈ -2.5 and x ≈ 1.5.
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y= 2/3x+7
x= -4
PLS HELP ASAP
Answer:
the slope will be
−
2
3
and the
y
-intercept will be
7
.
Step-by-step explanation:
Which of the following is an arithmetic sequence?
A. 1,1/2,1/4,1/16, …
B. 1, 1, 2, 3, 5, 8, ...
C. 4,-4, 4, -4, 4, ...
D. -2, 3, 8, 13, 18, ...
Answer:
D is an arithmetic sequence
Your colleagues at work recently started to train for a 5K race. You decide this
would be fun and a good way to get more physical activity, so you join your colleagues
in training for the race. What type of influence on wellness is this an example of?
A. Social
B. Intellectual
C. Occupational
D. Environmental
The type of influence on wellness that this represents is given as follows:
A. Social.
What is the influence on wellness?An influence on wellness is an activity that improves the morale of certain aspect of our lives.
The aspect improved in this problem is the social aspect, along with the physical aspect, as follows:
Social aspect: The walking activity is a bonding activity being executed with your work colleagues.Physical aspect: Physical exercise, such as walking, is essencial for the physical health.Since this is an example of social bonding, option A gives the correct option regarding which type of influence on wellness this is an example of.
For example, reading a book would be intellectual influence, while recycling would be environmental influence.
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Suppose we estimate the following regression: yt = β1 + β2x2t +
β3x3t + ut. Suppose the variance of ut is related to a known
variable zt as follows: Var(ut) = σ^2(zt). How would you transform
the
To transform the regression equation, you would divide both sides of the equation by the square root of Var(ut), which is σ√(zt). This transformation helps in obtaining the transformed regression coefficients and standard errors that account for the heteroscedasticity in the error term.
When the variance of the error term (ut) is related to a known variable (zt), it implies the presence of heteroscedasticity in the regression model. Heteroscedasticity means that the variability of the error term is not constant across different levels of the independent variables.
To address this issue, we can transform the regression equation by dividing both sides by the square root of the variance of the error term, which is σ√(zt). This transformation is known as the weighted least squares (WLS) estimation.
By dividing both sides of the equation, we can obtain the transformed regression equation with the error term divided by its standard deviation. This transformation accounts for the heteroscedasticity by giving different weights to the observations based on the variability of the error term. It allows for a more appropriate estimation of the regression coefficients and standard errors, as it gives more weight to observations with smaller error variances and less weight to observations with larger error variances.
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Please help.
Algebra.
Answer:
(- 1, - 3 )
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
The lines intersect at (- 1, - 3 ) ← solution
find all real values of $p$ such that \[2(x 4)(x-2p)\]has a minimum value of $-18$ over all real values of $x$.
All the real values of p such that 2(x - 4)(x - 2p) has a minimum value of -18 over all real values of x is p = 1 and p = -5.
Given that:
2(x + 4)(x - 2p)
It is required to find the values of p such that this expression has a minimum value of -18.
Expand the given expression.
2(x² + 4x - 2px - 8p)
2(x² + (4 - 2p)x - 8p)
2x² + (8 - 4p)x - 16p
The minimum value of the function can be found by first, setting the derivative equal to 0.
Differentiating,
4x + (8 - 4p) = 0
4x = 4p - 8
x = p - 2
Substitute x = p - 2 to the function 2(x + 4)(x - 2p).
When the value of the function is -18,
2(p - 2 + 4)(p - 2 - 2p) = -18
2(p + 2)(-p - 2) = -18
(p + 2)(-p - 2) = -9
(p + 2)² = 9
p + 2 = ±3
When p + 2 = 3, p = 1.
When p + 2 = -3, p = -5.
Hence the p values are 1 and -5.
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what is the measure of each exterior angle of a regular dodecagon?
Answer:
30°
Hope this answer is right!
Step-by-step explanation:
to go around the shape, you make a complete circle: 360°. So, divide 360° by the dodecagon's twelve exterior angles. Each exterior angle is 30°.
Which of the following is not meaningful _________.(a) XIV (b) XXXV (c) XXV (d) VX
Answer:
VX
Step-by-step explanation:
V=5
X=10
We cannot write 5 before 10
Which statements about the figure are true? Check all
that apply.
The figure is a quadrilateral.
All sides are congruent.
Opposite sides are congruent.
All angles are right angles.
Opposite sides are parallel.
The figure is a square.
The figure is a rectangle.
Answer:
A D C D F G
Step-by-step explanation:
hope this helps
Katie why whould you take down my answer and warn me like what did i do
It takes Jasmine 1/2 of an hour to peel a pound of apples. It takes Ralph 1/3 of an hour to peel a pound of apples. If each person continues to work at the same rate, how many pounds of apples can Jasmine and Ralph peel in one hour?
Answer:
To solve the problem, we need to first calculate how much each person can peel in one hour, and then add their rates to find the combined rate.
Jasmine takes 1/2 hour to peel 1 pound of apples, so her rate is:
1 pound / 1/2 hour = 2 pounds/hour
Ralph takes 1/3 hour to peel 1 pound of apples, so his rate is:
1 pound / 1/3 hour = 3 pounds/hour
Therefore, the combined rate of Jasmine and Ralph is:
2 pounds/hour + 3 pounds/hour = 5 pounds/hour
So together, they can peel 5 pounds of apples in one hour.
Step-by-step explanation:
Kenny has $100 and spends 1/4 of it. How much does she have left
Answer:
$75
Step-by-step explanation:
1/4=25
100-25= 75
A store is having a sale where movies are 40% off their original price. A movie is on sale for $26.00. What was the original price of the movie?
Question 2 of 10
Which situation shows a constant rate of change?
A. The amount raised by a booster club compared with the number
of raffle tickets sold
B. The weight of a kitten compared with its age in months
C. The number of goals scored in a soccer game compared with the
minutes played
D. The height of a paper airplane over time
The amount raised by a booster club compared with the number of raffle tickets sold shows a constant rate of change;
A constant rate of change is realized when a change in one situation always results in a change in another. In the scenario of a booster club that regularly sells raffle tickets, the more tickets it sells, the higher the club gets.
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in what quadrant can you find the point (-5,4)
Answer:
Quadrant II
General Formulas and Concepts:
The top right square of the Cartesian Plane is the First Quadrant.
The top left square of the Cartesian Plane is the Second Quadrant.
The bottom left square of the Cartesian Plane is the Third Quadrant.
The bottom right square of the Cartesian Plane is the Fourth Quadrant.
Read the Cartesian Plane counterclockwise starting from the top right.
Step-by-step explanation:
Step 1: Define
(-5, 4)
x = -5
y = 4
Step 2: Find
We know since x = -5, our point is either going to be in Quadrant II or IIISince y is positive (4), it will go up, meaning that the point will be in Quadrant IIThe linear equation y= mx + b contains the point (-4, 3) and is perpendicular to the line 5x + 20y = 9. What is the value of m? What is the value of b?
The value of m and b of the linear equation are 4 and 19 respectively
How to represent linear equation?The linear equation is represented as y = mx + b, contains the point (-4, 3) and is perpendicular to the line 5x + 20y = 9
Linear equation can be represented as follows:
In slope intercept form,
y = mx + b
where
m = slope or gradientb = y-interceptTherefore, the linear equation y = mx + b contains the point (-4, 3) and is perpendicular to the line 5x + 20y = 9.
Perpendicular lines follows the following rules:
m₁ m₂ = -1
Therefore, let's find the slope of the second equation and use it to find the slope of the linear equation that passes through (-4, 3).
5x + 20y = 9
20y = -5x + 9
y = -1 / 4 x + 9 / 20
Hence,
- 1 / 4 m₂ = - 1
m₂ = 4
Therefore, let's find the equation since we have gotten the slope.
y = 4x + b
It's passing through (-4, 3)
3 = 4(-4) + b
3 = -16 + b
b = 3 + 16
b = 19
Therefore, the value of m and b of the linear equation are 4 and 19 respectively
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I need some help, this is a trig question and I have no idea how to even start it.
Answer:
Set your calculator to Degree mode.
\( \alpha = {cos}^{ - 1} \frac{7}{8} \)
\( \cos(2 \alpha ) = \frac{7}{x} \)
\( \cos(2 {cos}^{ - 1} \frac{7}{8} ) = 2 {cos}^{2} ( {cos}^{ - 1} \frac{7}{8} ) - 1 = \frac{7}{x} \)
\(2( { \frac{7}{8}) }^{2} - 1 = \frac{7}{x} \)
\( \frac{17}{32} = \frac{7}{x} \)
\(17x = 224\)
\(x = \frac{224}{17} = 13.176\)
\( \alpha = {cos}^{ - 1} \frac{7}{8} = 28.955 \: degrees\)
So x = 224/17 = 13.176 and theta = 28.955°.
In a video game, the player can choose their character. The choices are from 8 animals and 4 humans. Players can also let the game randomly choose
their character
If a player does the random selection, what is the probability that a human character will be chosen?
Enter your answer as a fraction in simplest form in the box
The probability of selecting a human character randomly in the game is \(\frac{1}{3}\)
The probability that a human character will be chosen when the player selects a character randomly can be calculated by dividing the number of human characters by the total number of available characters.
There are 8 animal characters and 4 human characters, making a total of 12 characters to choose from. Therefore, the probability of selecting a human character randomly is:
P(Human) = Number of human characters / Total number of characters
P(Human) = 4 / 12
Simplifying this fraction, we find:
P(Human) = 1 / 3
Therefore, the probability of selecting a human character randomly is 1/3 or approximately 0.333.
In the given scenario, there are a total of 8 animal characters and 4 human characters, making a total of 12 characters to choose from. When a player selects a character randomly, each character has an equal chance of being chosen. Since there are 4 human characters, the probability of selecting one of them is determined by dividing the number of human characters (4) by the total number of characters (12).
When we simplify the fraction 4/12, we find that it is equal to 1/3.
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a ferris wheel has a diameter of 225 feet. if a passenger gets in a car and travels 38 feet when the wheel stops to let more passengers on, find the angle of rotation to the nearest degree.
Given a ferris wheel has a diameter of 225 feet and a passenger gets in a car and travels 38 feet when the wheel stops to let more passengers on, we need to find the angle of rotation to the nearest degree.
We will solve the problem by using the formula of the length of the arc of a sector which is given by L = rθ, where L is the length of the arc, r is the radius of the circle, and θ is the angle of rotation. First, we need to find the radius of the ferris wheel which is half of its diameter. Therefore, radius, r = 225 / 2 = 112.5 feet. The length of the arc covered by the passenger is 38 feet, so we can substitute the values of L and r in the formula of the length of the arc of a sector to get 38 = 112.5θ. Therefore, the angle of rotation, θ = 38 / 112.5 = 0.34 radians.To convert radians to degrees, we use the formula θ (in degrees) = θ (in radians) × 180° / π. Substituting the value of θ in degrees, we get θ (in degrees) = 0.34 × 180° / π = 19.47° ≈ 19°.Therefore, the angle of rotation of the ferris wheel to the nearest degree is 19 degrees. We can conclude that the angle of rotation is much smaller than a quarter of a complete circle which is 90 degrees. This is expected as the length of the arc covered by the passenger is much smaller than the circumference of the ferris wheel which is about 706.86 feet. Hence, the passenger travels only a small fraction of the circle which corresponds to a small angle of rotation of the ferris wheel.
The angle of rotation of the ferris wheel to the nearest degree is 19 degrees.
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In 2010, Fernando paid $1,810 in federal income tax. In 2011, he paid $816. What is the percent of decrease in the amount paid
Answer:
45% decrease.
Step-by-step explanation:
So, basically, write a fraction of the amount of decrease: 816/1,810. Change that to a decimal or simply convert the fraction to a percent. If you go the decimal way, convert the decimal to a percent. The result is 45%
50 POINTS! Please help me! I give Brainliest!
1. Given the following coordinates, complete the listed transformations in sequence, which means you do one after the other.
X(2, 4)
Y(5,-3)
Z(-7, 1)
a) Rotate the points 90 degrees clockwise
b) Dilation by a scaling factor of 2
c) Reflect across the x-axis
d) Translation 2 Up and 5 to the Left
4 PARTS TO THIS QUESTION! ANSWER ALL PLEASE!
Translating the new coordinate up by 2 units and 5 units to the left will given a final coordinate at X''''(10, 1), Y''''(-4, 15) and Z''''(4, 19)
What is transformaton?This is a technique used to change the position or size of an object on the xy plane.
Given the coordinate points X(2, 4), Y(5,-3) and Z(-7, 1)'
If the coordinate points is rotated 90 degrees clockwise, then the resulting coordinate will be at X(4, -2), Y(-3,-5) and Z(1, 7)
If the resulting coordinate is dilated by by a scaling factor of 2, then the new coordinate points wil be at X''(8, 4), Y''(-6, -10) and (2, -14)
If the resulting coordinate is reflected over the x-axis, then the new coordinate points wil be at X'''(8, -4), Y''(-6, 10) and (2, 14)
Finally, translating the new coordinate up by 2 units and 5 units to the left will given a resulting coordinate at X''''(10, 1), Y''''(-4, 15) and Z''''(4, 19)
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