Answer:
(0,3) x=0 and y=3
what is the end behavior of
A(x)=(x+3)(x-4)(3x-7)(4x-3)
Answer:
Step-by-step explanation:
Since the highest power is x^4, y increases without bound as x approaches positive or negative infinity. So the end behavior is positive infinity.
In optics, the transparency, T, of a substance equals the ratio of the intensity of light transmitted through the substance (Jt) to the intensity of incident light (Jt) where incident light is the light falling on the surface of a substance. The opacity of a substance equals the reciprocal of transparency. The density, D, of a substance equals the common logarithm of the opacity. Find density in terms of intensity of transmitted and incident light then expand the equation to a difference of two logarithms.
Answer:
D = log(Ji/Jt)D = log(Ji) -log(Jt)Step-by-step explanation:
You want optical density in terms of intensity of transmitted (Jt) and incident (Ji) light, written as a single term and as the difference of logarithms.
TransparencyOptical transparency is the ratio of transmitted to incident light intensities:
T = Jt/Ji
OpacityOpacity is the inverse of transparency:
O = 1/T = Ji/Jt
DensityOptical density is the common log of opacity:
D = log(O)
D = log(Ji/Jt)
As the difference of logarithms, this is ...
D = log(Ji) -log(Jt)
__
Additional comment
The relevant rule of logarithms is ...
log(a/b) = log(a) -log(b)
Write 132 as a product of primes. Use index notation when giving your answer.
Solve for N
4n=2n+6
Please help
Answer:
n = 3
Step-by-step explanation:
Given
4n = 2n + 6 ( subtract 2n from both sides )
2n = 6 ( divide both sides by 2 )
n = 3
The solution is, n = 3.
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
Given
4n = 2n + 6 ( subtract 2n from both sides )
2n = 6 ( divide both sides by 2 )
n = 3
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min ti x₁ = x₂-u x₂ = u -144²1 (x₁, x₂) arbitrary starting point. Let (0,0) be the Check whether situation (x₁, x₂)→ (0,0) shortest time is met. the beginning of the the coordinate. generality condition of the
It appears that the system dynamics can be manipulated through the control input u to minimize the time required for convergence to the origin (0,0).
Here, we have,
given that,
min t_i
x₁ = x₂-u
x₂ = u
-1 ≤ u ≤ 1, (x₁, x₂) are arbitrary starting point.
and origin (0,0) be the begging of the coordinate.
also given that, (x₁, x₂)→ (0,0)
so, min t_i at origin (0,0) = t
Therefore, the generality condition of the situation does not met.
so, we get,
The given system can be represented by the following equations:
x₁' = x₂ - u
x₂' = u
To analyze the behavior of the system, we can examine the dynamics of each variable separately.
For x₁:
x₁' = x₂ - u
The equation implies that the rate of change of x₁ is dependent on x₂ and the input u. The term (-u) acts as a control input that can affect the dynamics of x₁. If we choose an appropriate control input u, we can manipulate the rate of change of x₁ and potentially minimize the time required to reach the origin.
For x₂:
x₂' = u
The equation for x₂ indicates that the rate of change of x₂ is solely determined by the input u. The variable x₂ can be directly controlled by the input u, allowing us to influence its behavior and potentially expedite convergence.
Based on the given equations, it appears that the system dynamics can be manipulated through the control input u to minimize the time required for convergence to the origin (0,0).
By carefully selecting the control input, it is possible to achieve the shortest time to reach the origin from any arbitrary starting point (x₁, x₂).
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Please help I need this done NOW!
The volume of the different shapes have been calculated in the space below
How to find volumeVolume of rectangular prism = lwh
where we define the variables as :
l = length
w = width
h = height
then when we multiply, we will have
= 4 x 10 x 6
= 240
Volume of triangular pyramid = 1 / 3 b x h
where b = base
h = height
1 / 3 x 1.5 x 2
= 1
Volume of rectangular pyramid = lwh / 3
= 7.5 x 4.5 x 5 / 3
= 56.25
Volume of triangular prism= 1/2 x b x h x l
= 1/2 x 3 x 8.5 x 7
= 89.25
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. In a Two Way 2 x 2 Between Subjects ANOVA, there are four total groups.
True
False
False. In a Two-Way 2 x 2 Between Subjects ANOVA, there are typically two independent variables, each with two levels, resulting in a total of four groups.
How many groups are there in a Two-Way 2 x 2 Between Subjects ANOVA?A Two-Way 2 x 2 Between Subjects ANOVA involves the analysis of variance with two independent variables, each having two levels. The independent variables can be thought of as factors, and their combinations create different groups for comparison.
In this design, there are two factors, each with two levels. When you multiply the number of levels for each factor (2 x 2), you get four possible combinations or groups. Each group represents a specific combination of the two levels of the independent variables.
For example, if the first independent variable is "A" with levels A1 and A2, and the second independent variable is "B" with levels B1 and B2, the four groups in the ANOVA would be: A1B1, A1B2, A2B1, and A2B2.
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Can someone please help
Answer:
3) The value of k is 8. 5) The slope of the line y=-17x+47/3 is -17.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(k-5)/(2-1)
m=(k-5)/1
m=k-5
k-5=3
k=3+5
k=8
----------------------
5) y=mx+b where m=slope and b=y-intercept.
Frame zero, F0. is the fixed global frame. For each of
the cases below find T 1: 0
(a) F1 is rotated by an angle θ about zo.
(b) F1 is rotated by θ about xo.
(c) F1 is rotated by θ about yo.
(a) `T1:0 = [cos150 sin150 0 0; -sin150 cos150 0 0; 0 0 1 0; 0 0 0 1]`
(b) `T1:0 = [1 0 0 0; 0 cos150 sin150 0; 0 -sin150 cos150 0; 0 0 0 1]`
(c) `T1:0 = [cos150 0 -sin150 0; 0 1 0 0; sin150 0 cos150 0; 0 0 0 1]`
Given that Frame zero, F0 is the fixed global frame.
For each of the cases below find T1
Case (a)
F1 is rotated by an angle θ about zo.
Let O be the origin of the fixed frame F0, A be the origin of the frame F1 and α be the angle between the x-axis of the frame F0 and the projection of the x-axis of the frame F1 on the xy plane of the frame F0.
Let l, m, n be the direction cosines of the vector from O to A, expressed in F0.
The content-loaded frame zero F0 is the fixed global frame, which means that the vectors i, j, k representing the x, y, and z-axis of F0 are fixed and cannot be transformed.
Therefore, the transformation matrix T1:0
in this case is:
`T1:0 = [l1 m1 n1 0; l2 m2 n2 0; l3 m3 n3 0; 0 0 0 1]`
Case (b)
F1 is rotated by θ about xo.
Let β be the angle between the y-axis of F0 and the projection of the y-axis of F1 on the yz plane of F0.
Let γ be the angle between the z-axis of F0 and the projection of the z-axis of F1 on the zx plane of F0.
The transformation matrix T1:0
in this case is given by:
`T1:0 = [1 0 0 0; 0 cosθ sinθ 0; 0 -sinθ cosθ 0; 0 0 0 1]`
Case (c)
F1 is rotated by θ about yo.
Let β be the angle between the y-axis of F0 and the projection of the y-axis of F1 on the yz plane of F0.
Let γ be the angle between the z-axis of F0 and the projection of the z-axis of F1 on the zx plane of F0.
The transformation matrix T1:0
in this case is given by:
`T1:0 = [cosθ 0 -sinθ 0; 0 1 0 0; sinθ 0 cosθ 0; 0 0 0 1]`
Thus, the transformation matrix T1:0
for the three cases (a), (b), and (c) are given as follows:
(a) `T1:0 = [cosθ sinθ 0 0; -sinθ cosθ 0 0; 0 0 1 0; 0 0 0 1]`
(b) `T1:0 = [1 0 0 0; 0 cosθ sinθ 0; 0 -sinθ cosθ 0; 0 0 0 1]`
(c) `T1:0 = [cosθ 0 -sinθ 0; 0 1 0 0; sinθ 0 cosθ 0; 0 0 0 1]`
Given θ = 150,
T1:0 for the three cases are:
(a) `T1:0 = [cos150 sin150 0 0; -sin150 cos150 0 0; 0 0 1 0; 0 0 0 1]`
(b) `T1:0 = [1 0 0 0; 0 cos150 sin150 0; 0 -sin150 cos150 0; 0 0 0 1]`
(c) `T1:0 = [cos150 0 -sin150 0; 0 1 0 0; sin150 0 cos150 0; 0 0 0 1]`
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Help Please?
Joan asked 50 students to name their
favorite color, and 10 students chose red.
If Joan asks a total of 200 students, how
many would you expect to choose red as
their favorite color?
Answer: 40 students
Step-by-step explanation:
50x4 = 200 students
10x4 = 40 students who chose red.
You can check your work by dividing 4 by 200 and 40 by 4.
Will give brainliest screenshot Will give brainliest screenshot Will give brainliest screenshot Will give brainliest screenshot attached
Answer:
one 5 and 2 ones hope this will help u
Answer:
One and five should be the answer.
(x - 9(a/8)) = a a = 16
Answer:
x = 34
Step-by-step explanation:
(x - 9(16/8)) = 16
(x - 9(2)) = 16 Divide 16 and 8
x - 18 = 16 Multiply 9 and 2
x = 34 Add 18 to both sides
Part-Time Job So far this week, you have worked 10 hours at your part-time job.
This is 80% of the number of hours you work each week. How many hours do you
work each week?
Answer:
12.5 hours a week
Step-by-step explanation:
So far this week, you have worked 10 hours at your part-time job. This is 80% of the number of hours you work each week. How many hours do you work each week?
10 hours = 80%
80% = 0.8
10/0.8 = 12.5 hours a week
Melvin paid an entrance fee of Rs 5 plus an additional Rs 1.25 per game at a local arcade. Altogether, he spent Rs 26.25. Write and solve an equation to determine how many games Melvin played.
Step-by-step explanation:
x = number of games played
c = total cost of game session
x = (c - 5)/1.25
we need to deduct the R 5 entrance fee from the total price (as this has to be paid, even if he did not pay a single game in there).
and for the remaining amount we check how often the price of 1 game fits into this renaming amount. and then we know the number of games he played.
in our specific situation c = 26.25
x = (26.25 - 5)/1.25 = 21.25/1.25 = 17
Melvin played 17 games.
explain why it is possible to generate categorical variables from continuous data but not possible to obtain continuous data from categorical variables.
Generate categorical variables from continuous data by defining categories and assigning values, but you cannot obtain continuous data from categorical variables due to the loss of precision during the conversion process.
The reason why it is possible to generate categorical variables from continuous data, but not possible to obtain continuous data from categorical variables is due to the inherent nature of each type of variable.
To generate categorical variables from continuous data, you can follow these steps:
1. Define categories or groups based on a specific criterion. For example, dividing people into "short", "medium", and "tall" based on their heights.
2. Assign the continuous data values to the appropriate categories based on the defined criterion. For example, people with height less than 5 feet are considered "short", between 5 and 6 feet as "medium", and above 6 feet as "tall".
However, obtaining continuous data from categorical variables is not possible because categorical data does not have the same level of precision or granularity as continuous data. For instance, if you only know that someone is "tall," you cannot determine their exact height, as the information is lost when converting continuous data to categorical data.
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help me yall-
its due tn but I'm going somewhere for the weekend.
Answer:
201.06
Step-by-step explanation:
Diameter: 12
12+4+4=20
R:10
Pi(10)^2
= 314.16
Subtract that from small circle
Pi(6)^2
=113.097
314.16-113.097
a certain phone company charges $4.50 for the first five minutes of an international phone call. additional time is charged at $.50 per minute. how much would a customer be charged for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day?
A customer would be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day.
Charge for first 5 charged = $ 4.50
Charge for additional time = $ 0.50 per minute
Starting time = 9:35 p.m.
End time = 11:15 p.m.
Total minutes = 100 minutes
Total charge = 4.50 + (95 x 0.50)
= 4.50 + 47.50
= 52.00
Hence, a customer would be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day i.e. for 100 minutes.
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where in the world would you expect to have a relative humidity of close to 100%? what about close to 0%?
100% humidity is very common in many coastal zones, near rivers or lakes or in your bathroom when you take a shower, and possibly in Alaska as well as UAE.
Relative humidity:
Relative humidity is the ratio of the current absolute humidity to the highest possible absolute humidity (which depends on the current air temperature). A reading of 100 % relative humidity means that the air is totally saturated with water vapor and cannot hold any more, creating the possibility of rain. This doesn't mean that the relative humidity must be 100 percent in order for it to rain — it must be 100 percent where the clouds are forming, but the relative humidity near the ground could be much less.
0% humidity means there is an absence of water vapor in the air.
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What is the surface area of the cylinder with height 4 yd and radius 7 yd? Round your answer to the nearest thousandth.
Answer:
483.87yd^2
Step-by-step explanation:
Given data
Height= 4yd
Radius= 7yd
The expression for the surface area of a cylinder is given as
Surface area= 2πr (4+ 7)
Surface area= 2*π*7 (4 + 7)
Surface area = 14π (11)
Surface area= 154*3.142
Surface area= 483.87yd^2
Hence the surface area is 483.87yd^2
state the sample space. list outcomes separated by commas. use notation like 1h to mean you rolled a 1 on the die and flipped heads on the coin.
The sample space consists of the following outcomes: 1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T
To state the sample space, we'll consider all the possible outcomes of rolling a die and flipping a coin. There are 6 possible outcomes for the die (1-6) and 2 possible outcomes for the coin (heads or tails).
We'll use notation like 1h means rolling a 1 on the die and flipping heads on the coin, 1t means rolling a 1 on the die and flipping tails on the coin, 2h means rolling a 2 on the die and flipping heads on the coin, and so on.
The sample space consists of the following outcomes: 1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T
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6. Solve the given equation : 5 + 4 ( k – 1) = 25 .
Answer:
k=6
Step-by-step explanation:
subtract 5 from both sides
4(k-1)=20
divide 4 on from both sides
k-1=5
add 1 on both sides
k=6
\(\huge\bf{ANSWER:}\)
\(\huge\mathrm{k=6}\checkmark\)
\(\huge\bf{SOLUTION:}\)
Hey there, hope you are enjoying your day! :)
Let's solve this math problem. First of all, let's use the Distributive Property:
\(\rm{5+4(k-1)=25\)
\(\rm{5+4k-4=25\)
Now, move all the constants (numbers without a variable next to them) to the right, using the opposite operation:
\(\rm{4k=25-5+4\)
\(\rm{4k=20+4\)
Add:
\(\rm{4k=24\)
Divide both sides by 4 in order to isolate k:
\(\rm{k=6}\) (Answer)
Hope you find it helpful.
Feel free to ask if you have any doubts.
\(\bf{-MistySparkles^**^*\)
Let's call them scholarship A and scholarship B. Scholarship A is worth $600 and scholarship B is worth $1320. This student thinks that there is a 56% chance of ...
This student will win none of the two scholarships with a chance of (1-0.56) * (1-0.25) = 0.21. This student will win only scholarship A with a chance of 0.56 * (1-0.25) = 0.42. This student will win only scholarship B with a chance of (1-0.56) * 0.25 = 0.19.
This student will win both scholarships with a chance of 0.56 * 0.25 = 0.14. To calculate the probabilities, we can use the given information that the chances of winning each scholarship are independent. We can represent the possibilities with a tree diagram. The first two branches represent scholarship A, and the next branches represent scholarship B.
For the chance of winning none of the two scholarships, we multiply the probability of not winning scholarship A (1-0.56) with the probability of not winning scholarship B (1-0.25), resulting in (1-0.56) * (1-0.25) = 0.21.
For the chance of winning only scholarship A, we multiply the probability of winning scholarship A (0.56) with the probability of not winning scholarship B (1-0.25), resulting in 0.56 * (1-0.25) = 0.42.
For the chance of winning only scholarship B, we multiply the probability of not winning scholarship A (1-0.56) with the probability of winning scholarship B (0.25), resulting in (1-0.56) * 0.25 = 0.19.
Finally, for the chance of winning both scholarships, we multiply the probability of winning scholarship A (0.56) with the probability of winning scholarship B (0.25), resulting in 0.56 * 0.25 = 0.14.
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Complete Question
A student has applied for two different scholarships to help pay for college. Let's call them scholarship A and scholarship B. Scholarship A is worth $600 and scholarship B is worth $1320. This student thinks that there is a 56% chance of winning scholarship A, a 25% chance of winning scholarship B. Furthermore, this student believes that chance of winning each scholarship is independent of the other scholarships. (You may use a tree diagram to understand the following 4 possibilities and compute their probabilities in this experiment. Use the first two branches for Scholarship A and the next branches for Scholarship B). Therefore, this student will win none of the two scholarships with a chance of (1-0.56) * (1-0.25) = ? this student will win only scholarship A with a chance of 0.56 (1-0.25) = ? this student will win only scholarship B with a chance of (1-0.56) * 0.25 = ? this student will win both scholarships with a chance of 0.56 0.25 = ?
The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 65,000 miles and a standard deviation of 1500 miles. What warranty should the company use if they want 95% of the tires to outlast the warranty?
The company should use a warranty period that is equal to 67,467.5 miles.
To determine the warranty period, we need to find the value of the tire life that corresponds to 95% of the tires. We can use the standard normal distribution table to find the value of the z-score that corresponds to the 95th percentile. This value is approximately 1.645.
Now, we can use the formula for the normal distribution to find the tire life value that corresponds to the z-score of 1.645. This formula is:
X = μ + zσ
Where X is the tire life value, μ is the mean of the distribution (65,000 miles), z is the z-score (1.645), and σ is the standard deviation of the distribution (1500 miles).
Plugging in the values, we get:
X = 65,000 + 1.645(1500)
X = 67,467.5
This means that 95% of the tires will have a life of at least 67,467.5 miles.
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what is the nature and scope of the conclusion the study can reach
The nature and scope of the conclusion that a study can reach refers to the limitations and generalizability of the results obtained.
It depends on the research design, methodology, and sample size used. The conclusion can only be applied to the specific population and conditions studied.
The study may also have limitations due to biases or confounding variables that can affect the validity of the conclusion. To have a stronger conclusion, it is important to have a well-designed study with a large and representative sample, and to control for extraneous variables.
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I’ve been stuck on this for a while please help
First is brainliest :) and ill leave a thanks for them. Please and thank you!
(BTW This is one question)
Answer:
D
Step-by-step explanation:
The y-intercept is the initial amount and the rate of change is the amount she saved each week so that eliminates A and B. Since the y-intercept is 20 the answer is D.
PLSS HELPP I'm Desperate
Answer:
3
(Table):
1. 27
2. 33
3. 15
4. 90
Step-by-step explanation:
1. Because 1 yard = 3 feet, it means that you have to multiply the number of yards by 3 to get the number of feet.
2. (Table)
9 yards = 27 feet11 yards = 33 feet5 yards = 15 feet30 yards = 90 feetthe null hypothesis typically corresponds to a presumed default state of nature. t/f
False. The null hypothesis does not inherently represent a presumed default state of nature but rather serves as a reference point for hypothesis testing.
The null hypothesis does not necessarily correspond to a presumed default state of nature. In hypothesis testing, the null hypothesis represents the assumption of no effect, no difference, or no relationship between variables. It is often formulated to reflect the status quo or a commonly accepted belief.
The alternative hypothesis, on the other hand, represents the researcher's claim or the possibility of an effect, difference, or relationship between variables. The null hypothesis is tested against the alternative hypothesis to determine whether there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.
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Please help, im not sure if i quite get this.
Answer:
hypotenuse=h
h = 1 + 1,5
h= 2,5
h²= catheto²+catheto²
2,5² = 1,5² + x²
x²= 2,5² - 1,5²
x²= 6,25 - 2,25
x²=4
now you have to do the square root of 4 which is 2 (2×2 = 4)
x= 2
kay scored 15 on quiz 1 which had a mean of 12 and standard deviation 2.4. she scored 14 on the quiz 2 which had a mean of 11 and standard deviation 2.0. in comparison to her classmates, did kay do better on quiz 1 or quiz 2?
In comparison to her classmates, Kay did better in quiz 2.
According to the question,
Kay scored 15 on Quiz 1 which had a mean of 12 and a standard deviation of 2.4
= Z-score = 15 - 12/ 2.4 = 1.25
She scored 14 on Quiz 2 which had a mean of 11 and a standard deviation of 2
= Z-score = 14 - 11/ 2 = 1.5
As we can see the Z-score of Quiz 2 is more than the Z-score of Quiz 1 hence Kay did better in Quiz 2.
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