Count first from A to right and see how many units that is, then count up to B to see how many units that is. After that, you should find the distance between A and B (#,#), and then just divide that by 3/10 or 0.3 :)
The height (in feet) of a rocket launched from the ground is given by the function f(t) = -16t2 160t. match each value of time elapsed (in seconds) after the rocket’s launch to the rocket's corresponding instantaneous velocity (in feet/second).
EachEach value of time elapsed (in seconds) corresponding instantaneous velocity (in feet/second) are:2s= 96, 3s = 64, 4s= 32, 5s = 0, 6s = -32, 7s = -64. 8s= -96, 9s= -128.
VelocityGiven equation:
f(t) = -16t² +160t
Velocity (v)=df(t)/dt
=-2×16t²+ 160t
=-32t+160
Hence:
-32t+160
1. -32×(1) + 160 = 128ft/s
2. -32×(2) + 160 = 96ft/s
3. -32×(3) + 160 = 64ft/s
4. -32×(4) + 160 = 32m/s
5. -32×(5) + 160 = 0m/s
6. -32×(6) + 160 = -32m/s
7. -32×(7) + 160 = -64m/s
8. -32×(8) + 160 = -96m/s
9. -32×(9) + 160 = -128m/s
The pairs are;
2s= 96
3s = 64
4s= 32
5s = 0
6s = -32
7s = -64
8s= -96
9s= -128
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why can't theoretical probability predict on exact numbers of outcomes of a replacement
When dealing with replacement, there is always a certain degree of uncertainty as to what the next outcome will be. This is the reason theoretical probability predict on exact numbers of outcomes.
Theoretical probability is a branch of mathematics that deals with the study of the probability of events occurring based on the assumptions of certain conditions.
It involves the use of formulas and mathematical models to predict the likelihood of certain outcomes. However, it cannot predict the exact numbers of outcomes of a replacement because of the randomness involved in such events.
This is because the replacement process involves randomness, and the outcome of each trial is independent of the previous trials. Therefore, even though the theoretical probability may provide a reasonable estimate of the likelihood of certain outcomes, it cannot predict the exact numbers of outcomes with certainty.
For instance, consider a situation where you have a bag containing ten balls numbered from 1 to 10. You draw a ball, record its number, and then replace it before drawing again.
The theoretical probability of drawing any of the ten balls is 1/10, but it cannot predict the exact number of times a particular ball will be drawn. The outcome of each draw is independent of the others, and the replacement process involves randomness, making it impossible to predict the exact numbers of outcomes.
In conclusion, theoretical probability is a useful tool for predicting the likelihood of certain outcomes in various scenarios. However, when it comes to predicting the exact numbers of outcomes of a replacement, the randomness involved in the process makes it impossible to provide an exact prediction.
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Point E has a positive y-coorsinate Where could point E be located on the coordinate plane?
Answer:
A. Quadrant I
B. Quadrant II
F. y-axis
Step-by-step explanation:
If Point E has a positive y-coordinate then point E could be located on the top quadrants (quadrants 1 and 2) and the y-axis.
Which of these is the volume of the solid of revolution generated by revolving the region bounded by y² = x³ and y = x² about the x-axis? 8m A. BT 3 B. 2n 35 Question 6 lim (1 – cosx)sinx = x-0+ A. 1 C. F 10 B. e-1 D. 17″ 140 E. 20 F. None of these. C. e D. -1 E. 2 F. None of these.
The volume of the solid of revolution generated by revolving the region bounded by y² = x³ and y = x² about the x-axis can be found using the method of cylindrical shells or the disk/washer method. The correct option for the volume is not provided in the given choices.
To find the volume of the solid of revolution, we can use either the method of cylindrical shells or the disk/washer method. Both methods involve integrating the cross-sectional area of the solid along the axis of rotation.
In this case, revolving the region bounded by y² = x³ and y = x² about the x-axis will create a solid with a hole in the center. The shape of the solid resembles a cylindrical shell.
To determine the volume using the method of cylindrical shells, we would integrate the circumference of the cylindrical shell multiplied by its height over the given region. However, the options provided do not match the correct volume value.
Therefore, without the correct options, we cannot determine the volume of the solid of revolution generated by revolving the given region about the x-axis.
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On a map of City Hall Park, 1/4 inch represents 3 yards. The actual length of the park is 60 yards. What is the length in inches
of the park on the map?
The value of the length in inches of the park on the map is,
⇒ 5 inches
We have to given that;
On a map of City Hall Park, 1/4 inch represents 3 yards.
And, The actual length of the park is 60 yards.
Hence, We get;
The value of the length in inches of the park on the map is,
1/4 inches = 3 yards
1 yards = 1/12 inches
So, 60 yards = 60 x 1/12
= 5 inches
Thus, The value of the length in inches of the park on the map is,
⇒ 5 inches
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Isabella is going to an amusement park. The price of admission into the park
is $20, and once she is inside the park, she will have to pay $2 for every ride
she rides on. How much money would Isabella have to pay in total if she goes
on 13 rides? How much would she have to pay if she goes on r rides?
Cost with 13 rides:
Cost with r rides:
Answer:
46$ in total
y=2r+20
If Isabella goes on 13 rides, she would have to pay a total of $46. If she rides 'r' times, the total cost would be expressed by the mathematical equation 20 + 2r.
Explanation:This question relates to a linear relationship involving a fixed cost and a variable cost. In Isabella's case, the fixed cost is the admission fee, which is $20. The variable cost is the rides, where each ride costs $2.
So, if she goes on 13 rides, she will have to pay: $20 (for admission) + ($2 * 13 (rides)) = $20 + $26 = $46.
For r rides, the total cost would be: $20 (for admission) + ($2 * r (rides)). So the total cost for r rides can be expressed in a mathematical equation as: 20 + 2r.
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A nationwide study revealed that the average commute time to office jobs is 40 minutes. You conduct to determine if the average time in your county differs from the national average. What test will you use
To determine if the average commute time in your county differs from the national average of 40 minutes, you will need to conduct a hypothesis test. The appropriate test to use in this case is a one-sample t-test.
The one-sample t-test is used to compare the mean of a single sample to a known population mean when the standard deviation of the population is unknown.
In this case, the national average commute time of 40 minutes is known, but the standard deviation is not provided. Therefore, a one-sample t-test is the most appropriate test to use.To conduct the t-test, you will need to collect a sample of commute times from your county and calculate the sample mean and sample standard deviation. You will then use these values, along with the known population mean and an assumed level of significance, to calculate the t-value and compare it to the critical t-value from the t-distribution table. If the calculated t-value is greater than the critical t-value, you can reject the null hypothesis that the average commute time in your county is not different from the national average.In conclusion, a one-sample t-test is the appropriate test to use to determine if the average time of commute in your county differs from the national average. It is a statistical method that requires collecting a sample and comparing its mean to the population mean using a t-value and level of significance.Know more about the one-sample t-test
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whole animals and plants, live specimens, and falsely labelled parts or products are all prohibited under the initial question blank 1 of 1
By the Lacey Act, it can be concluded that
Whole animals and plants, live specimens, and falsely labelled parts or products are all prohibited under the Lacey Act
What is initial Lacey Act?
There are many wild animals in United States of America that were illegally smuggled, traded or sold. Lacey Act is a conservation law which is passed in the United States of America that stops the illegal trading, smuggling and selling of these wild animals.
Whole animals and plants, live specimens, and falsely labelled parts or products are all prohibited under the Lacey Act
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.............................:3
Answer:
5m + 4
Step-by-step explanation:
2(2m + 2) + m is the question so you first distribute
2(2m+2) is equal to 4m + 4 (you had to do 2 times 2m plus 2 times 2)
So now you have 4m + 4 + m
Now you add like terms which in this case is 4m + m and 4 stays the same
So you get 5m + 4
Answer:
5m + 4
Step-by-step explanation:
2(2m + 2) + m
4m + 4 + m
5m + 4
Hope this helps!
AA Corporation's stock has a beta of 0.8. The risk-free rate is 4%, and the expected return on the market is 12%. What is the required rate of return on AA's stock? (Do not round intermediate calculations. Round the answer to one decimal place.)
When we substitute these values into the equation, we get the required rate of return on AA Corporation's stock as 8.4%.
Required return on stock = Risk-free rate + Beta x (Market return - Risk-free rate)
Required return on stock = 4% + 0.8 x (12% - 4%)
Required return on stock = 8.4%
The required rate of return on AA Corporation's stock is 8.4%. To calculate this, we use the formula required return on stock = risk-free rate + beta x (market return - risk-free rate). In this equation, the risk-free rate is 4%, the beta of AA Corporation's stock is 0.8 and the expected return on the market is 12%. The risk-free rate remains constant, the beta of the stock gives an indication of its volatility and the market return reflects the overall performance of the market. When we substitute these values into the equation, we get the required rate of return on AA Corporation's stock as 8.4%.
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Find the coordinates of c
Answer:
Step-by-step explanation:
(x - 9)/2 = 4
x - 9 = 8
x = 17
(y - 5)/2 = 1
y - 5 = 2
y = 7
(17, 7) for coordinates of C
4/5 - 1/6 =
Please answer this for me :)
Answer:
i think it is 19/30if it is not then sorry
Answer:
29/30
Step-by-step explanation:
For more help go to calculator soup for math help :)
Find parametric equations and a parameter interval for the motion of a particle starting at the point (3,0) and tracing the top half of the circle x^2 y^2
The parametric equation are x = 3 cost and y = 3 sint and moves in counterclockwise direction.
According to the statement
we have given that the Find parametric equations and a parameter interval for the motion of a particle that starts at (3,0) and traces the circle \(x^{2} +y^{2} =3^{2}\)once counterclockwise.
And we have to find the parametric equation for this given statement.
So,
A parametric equation defines a group of quantities as functions of one or more independent variables called parameters.
Then
A particle that starts at (3,0) and traces the circle \(x^{2} +y^{2} =3^{2}\) once counterclockwise.
The parametric equations for a circle \(x^{2} +y^{2} =3^{2}\) and stats at (3,0) are
x = 3 cost
y = 3 sint
It requires going around a circle once.
Therefore required parametric equations are x = 3 cost and y = 3 sint and \(0\leq t\leq 2\pi\).
So, The parametric equation are x = 3 cost and y = 3 sint and moves in counterclockwise direction.
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Disclaimer: This question was incomplete. Please find the full content below.
Question:
Find parametric equations and a parameter interval for the motion of a particle that starts at (a,0) and traces the circle \(x^{2} +y^{2} =3^{2}\) once counterclockwise.
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4 attempts left Check my work Find the absolute extrema of f(x) = 2x23 on the interval |-4, -1). f(x) = 5 is the absolute maximum. 3:00:41 fx) - 0 is the absolute minimum. 4 attempts left Check my w
Based on the information given, the absolute extrema of f(x) = 2x^2 on the interval [-4, -1) are:
- The absolute maximum is f(x) = 5, which means that the highest point on the graph of f(x) within the interval is (x, 5).
- The absolute minimum is f(x) = 0, which means that the lowest point on the graph of f(x) within the interval is (x, 0).
It is important to note that the notation "4 attempts left" and "Check my work" do not affect the solution to the given problem.
In mathematics, the absolute extrema (or global extrema) of a function refer to the maximum and minimum values that the function can attain over its entire domain.
To find the absolute extrema of a function, you need to evaluate the function at all critical points and at the endpoints of the domain. A critical point is a point in the domain where the derivative of the function is zero or undefined.
For example, consider the function f(x) = x^2 - 4x + 5 on the interval [0, 3].
To find the critical points, you need to take the derivative of the function:
f'(x) = 2x - 4
Setting f'(x) = 0, you get x = 2, which is the only critical point in the interval [0, 3].
Next, you need to evaluate the function at the critical point and at the endpoints of the interval:
f(0) = 5
f(2) = 1
f(3) = 2
Therefore, the absolute maximum value of the function on the interval [0, 3] is 5, which occurs at x = 0, and the absolute minimum value is 1, which occurs at x = 2.
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PLEASE SEE PIC BELOW
3х – 9 = — 33
Solve the following equation for x.
a fair coin is flipped 5 times. what is the probability that the first three flips come up heads or the last three flips come up heads (or both)? a. 1 4⁄ b. 1/4 − 1/32 c. 1 2⁄ d. 1/2 − 1/32
The probability of either of these events occurring (or both), we add the probabilities together: 1/8 + 1/8 = 1/4.
The probability that the first three flips come up heads or the last three flips come up heads (or both) can be calculated by adding the probabilities of these two events occurring separately.
To find the probability of the first three flips coming up heads, we use the formula for the probability of independent events: P(A and B) = P(A) * P(B). Since each flip is independent and has a 1/2 chance of coming up heads, the probability of the first three flips coming up heads is (1/2) * (1/2) * (1/2) = 1/8.
Similarly, the probability of the last three flips coming up heads is also 1/8.
To find the probability of either of these events occurring (or both), we add the probabilities together: 1/8 + 1/8 = 1/4.
Therefore, the correct answer is a. 1/4.
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The intensity of the sound from a certain leaf blower is measured at
28 × 10^−2 W/m^2.
Find the decibel level. (Round your answer to the nearest integer.)
The decibel level of the sound from the leaf blower is approximately 104 dB.
The decibel level of a sound is measured in logarithmic units and is defined as the ratio of the sound's intensity to a reference intensity that is just barely audible to the human ear.
The decibel level (dB) of a sound is given by the equation 10 log(I/I_0), where I is the intensity of the sound being measured and I_0 is the reference intensity.
For this problem, the intensity of the sound from the leaf blower is given as 28 × 10^-2 W/m².
The reference intensity is generally taken to be 1 × 10^-12 W/m².
Substituting these values into the formula, we get: 10 log(28 × 10^-2 / (1 × 10^-12)) = 10 log(28 × 10^10) = 10 (10.447) ≈ 104.47
Therefore, the decibel level of the sound from the leaf blower is approximately 104 dB.
Decibel (dB) is a unit used to measure the intensity or level of sound, as well as the ratio of power or amplitude of a signal. It is a logarithmic unit that compares the measured quantity to a reference level. The decibel scale is logarithmic because the human perception of sound intensity is not linear. A change of 1 dB is considered the smallest perceptible difference in sound level, while a change of 10 dB is perceived as approximately a doubling or halving of loudness.
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Jonathan is driving to his grandma’s house. Jonathan’s car is going 75 mph and he has to go 340 miles still. Brighton, Jonathan’s cousin, is leaving his house and is traveling 70 mph and has to 320 miles. Who gets to grandma’ house first? How much faster do they get there?
Answer:
Johanatho will get in 4.53 hours. joahnathons cousin will take 4.57 hours.
Step-by-step explanation:
340/75=4.53
320/70=4.57
Savior loves to make waffles for breakfast normally it takes nine minutes to make three waffles he had some friends sleepover last night and he wants to make 10 waffles this morning if the waffles cook at the same rate how many minutes will it take Xavier to make the waffles this morning
Answer:
30 Mins
Step-by-step explanation:
9 mins for 3 waffles is 3 mins per waffle. 9÷3=3
3 mins for each of 10 waffles is 30 mins. 3×10=30.
Need help ASAP. Need to know how to get x and y from x-2y=-13 and y=-2x-6. Not seperate, the xy for both combined if that makes sense. One answer.
Answer:
\(x = -5\\y = 4\)
Step-by-step explanation:
Not sure I understand that part of your question ...not separate, the xy for both combined.
Here are the solution steps to determine x and y values
Given equations are
\(\begin{amatrix}x-2y=-13 \dots [1] \\\\ y=-2x-6\dots\dots[2]\end{amatrix}\)
In equation [2] get all the variables to the left side and the constant on ther right side:
Add 2x to both sides of the equation:Let's examine equations [1] and [3]:
\(\begin{aligned}x - 2y &= - 13 \dots [1]\\ 2x + y &= -6\;\;\dots[3]\\\end{aligned}\)
Multiply eq [1], \(x - 2y = -13\) throughout by \(2\):
\(2(x - 2y) &= 2(- 13) \implies 2x - 4y = -26 \dots[4]\\\)
Subtract the equations:
\(2x+y=-6\\-\\\underline{2x-4y=-26}\\\\5y=20\\\\y = \dfrac{20}{5} = 4\)
\(\mathrm{For\:}2x-4y=-26\mathrm{\:plug\:in\:}y=4\):
\(2x-4\cdot \:4=-26\:\\\\2x - 16 = -26\\\\2x = -26 + 16\\\\2x = -10\\\\x = -10/2 = -5\)
Can you answer this? ASAP
Answer:
h = 5m
Step-by-step explanation:
A = 1/2bh
15 = 1/2(6)h
15 = 3h
h = 5
which table of ordered pairs represents a function?
A
x 4 4 4 4 4
y -7 -5 -2 1 5
B
x 0 1 2 3 4
y 3 2 6 3 11
C
x -3 -2 1 6 -2
y 1 2 3 4 -1
D
x -2 -1 0 0 1
y 4 4 4 -2 -2
Answer:
B
Step-by-step explanation:
if there is two or more of the same X's it can't be a function. however if there is 2 or more of the same Y's it can still be classified as a function
Question
Which table represents a proportional relationship between x and y?
Responses
x 3 9 10 15
y 1 3 4 5
x 3 9 10 15 y 1 3 4 5
x 1 5 8 10
y 15 75 120 150
x 1 5 8 10 y 15 75 120 150
x 4 6 8 10
y 6 8 10 12
x 4 6 8 10 y 6 8 10 12
I don't know.
The table that represents a proportional relationship between x and y is table 2.
What is a proportional relationship?A relationship is proportional if each pair of data values are related in the same way, by multiplying by a factor.
A proportional relationship is one in which two quantities vary directly with each other.
For example,
y = kx
where,
k = constant of proportionality
You can tell if a table shows a proportional relationship by calculating the ratio of each pair of values.
If those ratios are all the same, the table shows a proportional relationship.
Therefore, let's calculate the ratios of the table
1 / 155 / 75 = 1 / 158 / 120 = 1 / 1510 / 150 = 1 / 15Hence, the table 2 has a proportional relationship.
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suppose that you and a friend are playing cards and decide to make a bet. if your friend draws two non-face cards, where a face card is a jack, a queen, or a king, in succession from a standard deck of 52 cards replacing the first card, you give him $30. otherwise, he pays you $50. if the same bet was made 20 times, how much would you expect to win or lose? round your answer to the nearest cent, if necessary.
I will win about $ 59.
This is a question of permutations and combinations.
We know that,
Probability of getting two non face cards = \(\frac{^{40}C_2}{{^{52}C_2}}\) = 10/17
Probability of not getting two non face cards = 1 - (10/17) = 7/17
Hence, we can write,
Money I will get = (7/17)*50*20 = $ 411.764
Money I'll have to pay = (10/17)*30*20 = $ 352.94
We know that,
Money left with me = Money I will get - Money I'll have to pay
Hence, we can write,
Money left with me = $ 411.764 - $ 352.94
Money left with me = 58.824 ≈ $ 59
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Need help with this pls
Step-by-step explanation:
you know that the overall angle is a right angle (that is what that little square in the corner means) ?
a right angle stands for 90 degrees.
and there you have practically your answer, right ?
angle 1 plus angle 2 are these 90 degrees.
as we know angle 1 = 53 degrees, that leaves only to rest of 90 degrees gut angle 2.
and you know how to get "the rest" ?
subtraction.
90 - 53 = 37 degrees for angle 2
If your car gets 34 miles per gallon, how much does it cost to drive 330 miles when gasoline costs $3.40 per gallon?
Answer:
$33.
Step-by-step explanation:
330 miles x (1 gal/34 miles) x ($3.40/gal)= $33.
I hope this helps, have a blessed day! :)
Answer: $33
Step-by-step explanation:
1 gallon=$3.40
Hence,
Make a proportion:
34 milles - $3.40
330 milles - x gallones
Thus,
\(\displaystyle\\x=\frac{330*3.40}{34} \\\\x=\frac{33*34}{34}\\\\x=33\ dollars\)
Is the equation below true or false?
24 = 2 • 4
Answer:
false
Step-by-step explanation:
2 · 4 = 8
Answer:
False
Step-by-step explanation:
24 is not equal to 8 therefore it is not true
Which value is the solution to the equation -8 = 6 - 7x?
A. -7
B. - 2
C. 2
D. 5
Step-by-step explanation:
the answer is c: 2..............
A geologist gathered data about the total shoreline and maximum depth of several area lakes and organized the data into this table.
Total Shoreline (miles) 22 17 10 23 12 35 7
Maximum Depth (feet) 101 85 59 113 64 158 33
She then used a graphing tool to display the data in a scatter plot, with x representing the total miles of shoreline and y representing the maximum depth. She also used the graphing tool to find the equation of the line of best fit:
y = 4.26x + 10.908.
Based on the line of best fit, what is the approximate maximum depth of a lake that has 31 miles of shoreline?
Based on the line of best fit, the approximate maximum depth of a lake that has 31 miles of shoreline is; 142.968 ft
How to interpret a Line of best fit?The line of best fit is defined as a straight line which is drawn to pass through a set of plotted data points to give the best and most approximate relationship that exists between such data points.
Now, we are given a table of values that shows the total shoreline in miles which will be represented on the x-axis and then the maximum depth of several area lakes which will be represented on the y-axis.
However, when the geologist found the graph, she arrived at an equation of best fit as;
y = 4.26x + 10.908.
Thus, for 31 miles of shoreline, the approximate maximum depth is;
Approximate maximum depth = 4.26(31) + 10.908.
Approximate maximum depth = 142.968 ft
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Answer:
143 feet
Step-by-step explanation:
its technically 142 and change but edmentum rounds up