A traffic safety engineer was studying travel patterns along a highway. she set up a camera and recorded the speed and direction of cars and trucks that passed by the camera. positions to the east of the camera are positive, and to the west are negative. what is the velocity in feet per second
Answers
The velocity in feet per second is the rate of change of position over time, and it can be either positive (eastward) or negative (westward) depending on the direction of travel.
Velocity is a vector quantity that describes both the speed and direction of an object's motion. In this case, the traffic safety engineer is studying travel patterns along a highway and recording the speed and direction of cars and trucks passing by the camera.
The velocity is determined by calculating the rate of change of position with respect to time. If a vehicle is moving eastward (towards the positive positions), its velocity would be positive in feet per second, indicating motion in the positive direction. On the other hand, if a vehicle is moving westward (towards the negative positions), its velocity would be negative in feet per second, indicating motion in the negative direction.
For example, if a car moves from the position x = 100 feet to x = 150 feet in 5 seconds, its velocity would be (150 - 100) feet / 5 seconds = 10 feet per second, assuming eastward motion. If it were moving in the opposite direction, from
x = -100 feet to x = -50 feet in 5 seconds, its velocity would be (-50 - (-100)) feet / 5 seconds = -10 feet per second, indicating westward motion
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Related Questions
CAN SOMEONE PLS HELP MEE
Two triangles are graphed in the xy-coordinate plane.
Which sequence of transformations will carry △QRS
onto △Q′R′S′?
A. a translation left 3 units and down 6 units
B. a translation left 3 units and up 6 units
C. a translation right 3 units and down 6 units
D. a translation right 3 units and up 6 units
Answers
Answer:
the answer should be, A. im pretty good at this kind of thing so It should be right but if not, sorry.
Step-by-step explanation:
Will give brainliest if correct.
Answers
Step-by-step explanation: The x-intercept is
the point where a line crosses the x-axis.
So the x-intercept for the line on the graph is (7, 0).
All x-intercepts have a y-coordinate of zero.
The y-intercept is a point where a line crosses the y-axis.
So the y-intercept for the line on the graph is (0, 5).
All y-intercepts have a x-coordinate of zero.
rudy wanted to drive a car that uses less gasoline, so he bought a hybrid. there is a proportional relationship between the volume of gasoline rudy's car uses when driving on the highway (in gallons), x, and the distance he drives it on the highway (in miles), y. x (gallons) y (miles) 1 25 2 50 3 75 4 100 what is the constant of proportionality? write your answer as a whole number or decimal.
Answers
The constant of proportionality for x gallons water and y miles is k = 25
The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality.
Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality.
A proportionate connection is simple to represent as a straight line on a coordinate plane. It is a straight line because it is directly proportional; the slope serves as the constant of proportionality.
The proportionate change along the x and y axes never varies, hence the slope or increase is constant.
According to the question,
x(gallons) y(miles)
1 25
2 50
3 75
4 100
As we know, If y is proportional to x
=> y ∝ x
=> y = kx , where k is constant of proportionality
Using the table,
when x = 1 => y = 25
=> 25 = k(1)
=> k = 25
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If9(x-9)=-11, then x= ?
Answers
Answer:
x = 70/9 :)
Step-by-step explanation:
So, 9(x - 9) = -11. :)
We can use the distributive property to turn 9(x - 9) into 9x - 81!
9x - 81 = -11
We can now add on 81 to both sides :)
9x = -11 + 81 = 70
So, we have 9x = 70.
To get x by itself, we'll divide the equation by 9, to get:
9x / 9 = 70 / 9
x = 70/9
And there's your solution :)
PLS HELP ME AHHHHHHHHAASFVAFAFEAFBAFBAFB
Answers
Answer:
42/6
Each color blocks have 6 each, and they're 7 groups of them. Simple.
Why is the War of 1812 known as the "Second War of Independence"? Check all that apply.
o It helped the United States win its freedom once and for all.
It showed the world that the United States was its own nation.
It encouraged a wave of pride and patriotism among Americans.
It led to the Treaty of Paris between Britain and the United States.
It resulted in the writing of what would become the national anthem.
It helped the United States gain new territory and expand its borders.
Answers
Answer:
B,C and E
Step-by-step explanation:right on edge
In ΔIJK, the measure of ∠K=90°, KI = 5.3 feet, and JK = 2.1 feet. Find the measure of ∠I to the nearest tenth of a degree. I
Answers
Answer:
\(\angle I = 21.6 ^\circ\) is the correct answer.
Step-by-step explanation:
Please refer to the attached figure.
\(\triangle IJK\) is shown with the following measurements:
\(\angle K = 90^\circ\)
Side KI = 5.3 ft
Side JK = 2.1 ft
To find : \(\angle I\) = ?
Using trigonometric identity for tangent of an angle:
\(tan\theta = \dfrac{\text{Perpendicular}}{\text{Base}}\)
Here \(\theta = \angle I\)
Perpendicular is side JK.
Base is side KI.
Putting the values in above formula:
\(tan\theta = \dfrac{\text{JK}}{\text{KI}}\\\Rightarrow tan\theta = \dfrac{2.1}{5.3}\\\Rightarrow tan\theta = 0.3962\\\Rightarrow \theta = 21.6^\circ\)
Hence, \(\angle I = 21.6 ^\circ\) is the correct answer.
What is the linear function equation that best fits the data set? 1) y = -2x + 5. 2) y = 2x + 5. 3) y = -1/2x + 5. 4) y = 1/2x - 5.
Answers
Without specific information about the data set, it is not possible to determine which equation is the best fit.
To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.
However, I can provide a general explanation of the four options:
y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.
y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.
y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.
y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.
Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.
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helppppppppppppppppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
Answer down below!
Step-by-step explanation:
The simple way to do this is shown below:
Since two tires cost $74, you know that if you multiply that by two, you'll get your four.
74 x 2 = 148
Four tires will cost you $148
The cost of renting a boat for different
times is shown in the table below. The
relationship shown is linear.
Hours
Cost (dollars)
2
51
4
102
6
153
8
204
Which of the following is the hourly rate
for renting the boat? (8.1A, 8.18, 8.1C,
8.1E)
C $51.00
A $25.50
B $30.50
D Not here
Answers
Answer:
Step-by-step explanation:
Help please, totally don't know the answer to this.
Answers
Answer:
5 shirts
Step-by-step explanation:
30.60 / 6.12 = 5
use the rational zero theorem to find a rational zero of the function f(x)=2x3 15x2−4x 32.
Answers
A rational zero of the function f(x) = 2x^3 + 15x^2 - 4x + 32 is x = -4/2.
The rational zero theorem states that if a polynomial function has a rational root (zero), it can be expressed as p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.
In this case, the constant term is 32 and the leading coefficient is 2. Factors of 32 are ±1, ±2, ±4, ±8, ±16, ±32, and factors of 2 are ±1, ±2. By testing the possible combinations, we find that -4/2 is a rational zero.
This means that when x = -4/2, the polynomial function will equal zero.
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a new car model is available with 5 choices of color, 3 choices of transmission and 4 types of interior. how many different variations of this model car are possible?
Answers
In 120 different variations of this model car are possible.
Define multiplication.One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical size. Let's use the ice creams as a multiplication example to help us comprehend. There are two such groupings, and each group has ice cream.
Calculating the sum of two numbers multiplied together is the process of multiplication. Simple tests in addition, subtraction, multiplication, and division will be given. 2. a noncount noun The process or occurrence of something of a certain kind multiplying occurs when their quantity or number increases.
Given,
There are five different ways to choose a car's color.
3 different car transmission selection options are available.
There are four different interior automobile selection options.
There are two different ways to pick a car's engine.
The potential number of car variations is thus:
Multiplying:
5 × 3 × 4× 2
120
In 120 different variations of this model car are possible.
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Is 0.1212 repeating a rational number
Answers
Answer:
Yes-
Step-by-step explanation:
It repeats .121212 infinitely... I assume. You didn't say if it repeated or not.
Answer:
Yes
Step-by-step explanation:
Every repeating decimal satisfies a linear equation with integer coefficients, and those equations have solutions that are always rational numbers.
Therefore, every repeating decimal is a rational number.
Write the quadratic equation that has roots -1-√2/3 and -1+√2/3 , if it's coefficient with x^2 is equal to
a.) -3/5
b.) √3 / 3
Answers
9514 1404 393
Answer:
a) -3/5x² -2/5x +1/15 = 0
b) √3/3x² +2√3/9x -√3/27 = 0
Step-by-step explanation:
The quadratic equation of interest is of the form ...
(leading coefficient)(x^2 -(sum of roots)x +(product of roots)) = 0
The sum of the given roots is ...
(-1 +√2)/3 +(-1 -√2)/3 = -2/3
The product of the given roots is ...
(-1 +√2)/3×(-1 -√2)/3 = ((-1)² -(√2)²)/3² = -1/9
__
a) The quadratic is ...
(-3/5)(x² +2/3x -1/9) = -3/5x² -2/5x +1/15 = 0
__
b) The quadratic is ...
(√3/3)(x² +2/3x -1/9) = √3/3x² +2√3/9x -√3/27 = 0
-
Graph the equation y = –22 – 14x – 48 on the accompanying set of axes. You
must plot 5 points including the roots and the vertex. Using the graph, determine the
roots of the equation –22 – 14x – 48 = 0.
Answers
Answer:
fds
Step-by-step explanation:
avs
bobby continues shooting three targets until he knocks all of them down. the probability of hitting a target is p. find the probability that bobby will require exactly 5 shots to accomplish the goal.
Answers
The probability that Bobby will require exactly 5 shots to knock down all three targets is p^3 * (1-p)^2.
1. Bobby must hit the first three targets in order to knock them down. The probability that he will hit the first three targets is p^3.
2. After hitting the first three targets, Bobby must miss the fourth shot in order to require 5 shots to accomplish the goal. The probability that he will miss the fourth shot is (1-p).
3. Bobby must hit the fifth shot in order to knock all three targets down. The probability that he will hit the fifth shot is p.
4. Therefore, the probability that Bobby will require exactly 5 shots to knock down all three targets is p^3 * (1-p)^2.
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The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.50 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.
Answers
Explanation;
Find 20% of $78.50
If 20%=$15.70
Add both values;
$94.20
if the price of milk increases from $3.99 to $5.99 per gallon, this will cause a .
Answers
The percent decrease of the average gas price from january to February is 7.85%
How to find percent decrease of the average gas price from january to February
Average gas price in January = $4.33 per gallon
Average gas price in February = $3.99 per gallon
Change in average gas price = Average gas price in January - Average gas price in February
= $4.33 - $3.99
= $0.34
Percent decrease in average price = Change in average gas price / Average gas price in January × 100
= $0.34 / $4.33 × 100
= 0.078521939953810 × 100
= 7.85%
In conclusion, the price of gas has decreased at a percentage of 7.85% from January to February.
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complete question
Gas prices averaged $4.33 per gallon in january and $3.99 per gallon in february. what was the percent decrease of the average gas price from january to february?
Please Help Fast!! 15 Point and brainiest if correct
Answers
If a < b, then dividing both sides by a positive number will not flip the inequality sign. The inequality flips if you divide both sides by a negative number.
So if a < b, then a/3 < b/3 as well.
Answer: Less than sign (first choice)I’m doing this assignment called solving logarithmic equations and got stuck on this question
Answers
Here are the steps in solving the value of x in the equation.
1. Subtract 4 on both sides of the equation.
\(\begin{gathered} 4+(9\text{ }ln\text{ }x)-4=15.8-4 \\ 9\text{ }ln\text{ }x=11.8 \end{gathered}\)2. Divide both sides of the equation by 9.
\(\frac{9\text{ }ln\text{ }x}{9}=\frac{11.8}{9}\Rightarrow ln\text{ }x=1.31111\)3. By definition of natural logarithm:
\(ln\text{ }x=y\Leftrightarrow e^y=x\)We can rewrite ln x = 1.3111 as:
\(e^{1.31111}=3.71\)Therefore, the value of x is 3.71. (Option D).
what ratios are equivalent to 4:1
Answers
Answer:
12:3
Step-by-step explanation:
P={1,2,3,4}. how many subsets does P have?
Answers
The subsets can be found using the following
\(2^n\)Where n = 4.
\(2^4=2\cdot2\cdot2\cdot2=16^{}\)Hence, P has 16 subsets.The YMCA lap pool is a right rectangular prism 36.8\, \text{m}36.8m36, point, 8, start text, m, end text long by 20 \,\text{m}20m20, start text, m, end text wide. The pool contains 1472 \text{ m}^31472 m 3 1472, start text, space, m, end text, cubed of water. How deep is the water in the pool
Answers
Volume is a three-dimensional scalar quantity. The depth of the YMCA lap pool is 2 meters.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given that the following details about the YMCA lap pool:
The volume of the pool = 1472m³The length of the pool = 36.8mThe width of the pool = 20 mSince the pool is in the space of a right rectangular prism, therefore, the volume of the prism will be the product of length, width and depth. Therefore, the volume of the pool can be written as,
The volume of the pool = Length × width × depth
1472m³ = 36.8m × 20 m × depth of the pool
Depth of the pool = (1472m³ ) / (36.8m × 20m)
= 2 meter
Hence, the depth of the YMCA lap pool is 2 meters.
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Luna bought a pepperoni pizza that was served on a metal tray. On the back of the tray, small letters stated that it has an area of 66.4424 square inches. What is the tray's circumference?
Use 3.14 for . If necessary, round your answer to the nearest hundredth.
Answers
Answer:
To find the circumference of the tray, we need to determine the radius of the circle first. We can use the formula for the area of a circle, A = πr², and solve for r.
66.4424 = πr²
r² = 66.4424 / π
r ≈ 4.08 inches (rounded to two decimal places)
Now that we know the radius is approximately 4.08 inches, we can find the circumference of the tray using the formula C = 2πr.
C = 2π(4.08) ≈ 25.67 inches
Therefore, the tray's circumference is approximately 25.67 inches.
Step-by-step explanation:
You perform a Chi-Square test and obtain a p-value lower than 0.01. What does that mean?
Answers
Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.
If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.
The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.
In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.
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A parking lot space is in shape of a rectangle. If the space has a length of 23 feet and a width of 12 feet, what is the area of the parking space?A.128ft2B.266ft2C.276ft2D.138ft2
Answers
area = length multiplied by width
a bag of chocolates is labeled to contain 0.384 pounds of chocolate. the actual weight of the chocolates is 0.3798 pounds. how much lighter is the actual weight?
Answers
The actual weight is 0.0042 pounds lighter than the labeled weight.
The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.
Subtracting the actual weight from the labeled weight, we get:
0.384 pounds - 0.3798 pounds = 0.0042 pounds.
Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.
It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.
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At Kenji's Arcade, 1/2 of the games are racing games. Among the racing games, 4/5 are motorcycle-racing games. What fraction of the games at Kenji's Arcade are motorcycle-racing games? Write your answer as a fraction or as a whole or mixed number.
Answers
I believe the answer is 2/5
Is the following statement true or false?
A line has two endpoints.
true
false
Answers
Answer: True
A line has two endpoints:
One at the endOne at the beginningHope this helps!