Answers
Answer:
slope is -1/3
Step-by-step explanation:
points are : (-4,2) and (2,0)
now
slope = (y2-y1)/(x2-x1)
=(0-2)/(2+4)
= -2/6
= -1/3
Related Questions
how would the model and answer in the example change is felicia lives 7-10 miles from the soccer
Answers
Answer:
no se perdon no entiendo ingles
4. A function consists of the pairs (2,3), (x, y) and (5,6). If the inverse is also a function what values can y NOT be? Explain.
Answers
Answer:
In a nutshell, \(y\) cannot be 3 or 6 in the inverse function for all \(x\) distinct from 2 and 5.
Step-by-step explanation:
From Functional Theory we remember that a function is a relation in which all elements of its domain has an unique and different element from range. If \(y\) is the image of the inverse, which is a function, then \(y \neq 3, 6\). Otherwise, the inverse could not be a function when \(x \in \mathbb{R}-\{2,5\}\).
In a nutshell, \(y\) cannot be 3 or 6 in the inverse function for all \(x\) distinct from 2 and 5.
The size (in millimeter) of a crack in a structural weld described by a random variable X with the following PDF: f_X(x) = {x/8 0 < x ≤2 1/4 2 < x ≤ 5 0 elsewhere. (a) Sketch the PDF and CDF on a piece of graph paper. (b) Determine the mean crack size. (c) What is the probability that a crack will be smaller than 4 mm?
Answers
The mean crack size is 1.25 mm.
How to calculate mean crack size?(a) To sketch the PDF and CDF, we can plot the given probability density function (PDF) on a graph paper.
The PDF f_X(x) is defined as follows:
f_X(x) = {
x/8 for 0 < x ≤ 2,
1/4 for 2 < x ≤ 5,
0 elsewhere
}
First, let's plot the PDF on the graph paper:
| . .
1/4 | . .
| . .
| . .
| . .
| . .
| . .
| . .
| . .
| . .
0.2 | . .
| . .
| . .
| . .
| . .
| . .
| . .
| . .
| . .
| . .
0.1 | . . . .
| . . . . . . . .
+----------------
0 2 4 6
The height of the PDF corresponds to the probability density at a given value of x.
Next, let's calculate the cumulative distribution function (CDF) to sketch it on the graph paper.
The CDF is obtained by integrating the PDF from negative infinity to x:
F_X(x) = ∫[0,x] f_X(t) dt
For 0 ≤ x ≤ 2:
F_X(x) = ∫[0,x] (t/8) dt = (1/8) * ∫[0,x] t dt = (1/8) * (t^2/2)|[0,x] = (1/8) * (x^2/2) = x^2/16
For 2 < x ≤ 5:The height of the PDF corresponds to the probability density at a given value of x.
Next, let's calculate the cumulative distribution function (CDF) to sketch it on the graph paper.
The CDF is obtained by integrating the PDF from negative infinity to x:
F_X(x) = ∫[0,x] f_X(t) dt
For 0 ≤ x ≤ 2:
F_X(x) = ∫[0,x] (t/8) dt = (1/8) * ∫[0,x] t dt = (1/8) * (t^2/2)|[0,x] = (1/8) * (x^2/2) = x^2/16
For 2 < x ≤ 5:The height of the PDF corresponds to the probability density at a given value of x.
Next, let's calculate the cumulative distribution function (CDF) to sketch it on the graph paper.
The CDF is obtained by integrating the PDF from negative infinity to x:
F_X(x) = ∫[0,x] f_X(t) dt
For 0 ≤ x ≤ 2:
F_X(x) = ∫[0,x] (t/8) dt = (1/8) * ∫[0,x] t dt = (1/8) * (t^2/2)|[0,x] = (1/8) * (x^2/2) = x^2/16
For 2 < x ≤ 5:F_X(x) = ∫[0,2] (t/8) dt + ∫[2,x] (1/4) dt = (1/8) * ∫[0,2] t dt + (1/4) * ∫[2,x] dt = (1/8) * (t^2/2)|[0,2] + (1/4) * (t)|[2,x] = (1/8) * 2 + (1/4) * (x-2) = 1/4 + (1/4) * (x-2) = 1/4 + (x-2)/4 = (x+1)/4
For x > 5:
F_X(x) = 1
Now, let's plot the CDF on the same graph paper:
| . . . . . . . .
1 | . . . . . . . .
| . . . . . . . .
| . . . . . . . .
| . . . . . . . .
0.8 | . . . . . . . .
| . . . . . . . .
| . . . . . . . .
| . . . . . . . .
0.6 | . . . . . . . .
| . . . . . . . .
| . . . . . . . .
| . . . . . . . .
0.4 | . . . . . . . .
|
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pomaluj z ramki z podanymi wyrazami takim samym kolorem a jakim jest ramka pasującego do nich czasownika
plissssssss daje naj ❤️❤️❤️❤️ y
jak coś to polski
Answers
Hello, needing help solving this problem. There is part 1, 2 3 and 4.
Answers
Given:
\(\begin{gathered} \text{ Grid 1-}40x^2+40x+100 \\ \\ Grid\text{ }2-x^2 \\ \\ Grid\text{ }3\text{ - x}^2+40x+400 \end{gathered}\)Required:
To show how many longer the side length of grid 3
Explanation:
Let's find the side length of each box . Since these boxes are square , and area =side2, we can take the square root of the area to find the length of each side factor each equation.
\(\begin{gathered} 4x^2+40x+100 \\ \\ (2x+10)(2x+10) \\ \\ 2(2x+10) \\ First\text{ box side length :2x+10 meters} \end{gathered}\)\(\begin{gathered} x^2 \\ second\text{ box side length :x meters} \end{gathered}\)\(\begin{gathered} x^2+40x+400 \\ \\ (x+20)(x+20) \\ \\ (x+20)2 \\ \\ Third\text{ box length :x+20} \end{gathered}\)so to find how longer the 3rd box length is we subtract third and 2nd
(x+20)-x
=20 meters
Required answer:
=20 meters
Polygon ABCD is reflected and dilated to give polygon PORS. The coordinates of the preimage are (2, 2), (6,8), (12,8), and (16, 2). The coordinates
of the image are (11, 15), (9, 12), (6, 12), and (4, 15). What is the scale factor of the dilation?
OA 0.25
OB. 0.33
OC 0.5
OD 0.75
Reset
Next
dmentum. All rights reserved
acer
Answers
Answer:
C. 0.5Step-by-step explanation:
Plot the coordinates and connect to get the figures.
See attached
Find the length of the corresponding sides and divide to find the scale factor:
d₁ = 12 - 6 = 6 (points with same y- coordinate of 8)d₂ = 9 - 6 = 3 (points with same y- coordinate of 12)The scale factor is:
k = d₂ / d₁ = 3/6 = 0.5Correct choice is C
Answer:
The guy above is right, the scale factor of the dilation is C. 0.5.
Hope this helps!
Step-by-step explanation:
Brian is ordering t-shirts for the chess team. The teams budget for clothing is at most $60. Each t-shirt costs $12. Brian wants to know the number of t-shirts that he can order. . . . Let t be the number of t-shirts Brian orders. Write an inequality that represents the situation. . . . Help PLEASE and ill mark bRaInLyEsT!! <33
Answers
The number of t-shirts that Brian can order is at most 5, to keep the total cost within the team's budget.
This inequality is t ≤ 5.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Let t be the number of t-shirts that Brian orders.
Since each t-shirt costs $12,
The total cost of the t-shirts will be 12t dollars.
The team's budget for clothing is at most $60.
This means that the total cost of t-shirts should be less than or equal to $60.
The inequality that represents the situation is:
12t ≤ 60
This inequality can also be written as:
t ≤ 5
Thus,
The number of t-shirts that Brian can order is at most 5, to keep the total cost within the team's budget.
This inequality is t ≤ 5.
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Franklin starting playing video games as soon as he got home from school. He played video
games for 54 minutes. Then Franklin helped clean the kitchen for 1 hour. After the kitchen
was clean, it took Franklin 57 minutes to finish his homework. wWhen Franklin finished his
homework, it was 5:56 P.M. What time did Franklin get home from school?
Answers
Answer:
3:05
Step-by-step explanation:
Answer: he got home at 3:05 pm!
Step-by-step explanation:
working backwards from the time stamp 5:56pm, we can just subtract the time he spent gaming and doing chores:
5:56
-0:54 mins games
-1:00 cleaning
-0:57 for homework= the time he got home, but lets make it easier!
54+57=111, in total, that's 1:51 time wise, so that simplifies it a little, be we can simplify it further, by adding the hour spent cleaning.
1:51 on homework n games + 1:00 on cleaning = 2:51 spent on home stuff in general
so lets go back to our subtraction:
5:56 pm -time stamp after all his chores
-2:51 spent on home stuff
= 3:05 pm the time he left school
You plan on purchasing a new home in the near future. You want to place 10% down on the home and finance the remaining balance. The home that you are interested in is priced at 115,732.80 and your monthly gross salary is $2,624.00. Given that monthly expenses total $1,150.12, Social Security is 6.2% of your biweekly income, Medicare is 1.45% of your biweekly income, you pay State and Federal taxes in the amount of $53.00 and $101.35 respectively biweekly, determine in how many months you will have to save for, so that you can place a down payment of 10%. Round your answers to the nearest cent and to the nearest month. a. 9 months c. 11 months b. 10 months d. 12 months
Answers
Answer:
D. 12 months
Step-by-step explanation:
I got 100%
The number of months you will have to save for so that you can place a down payment of 10% is 10 months.
Option B is the correct answer.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Price of the home = $115,732.80
Downpayment = 10%
This means,
= 10/100 x 115732.80
= $11573.28
Now,
Monthly savings.
= 2624 - (1150.12 + (6.2/100 x 2624) + (1.45/100 x 2624) + 53 + 101.35)
= 2624 - (1150.12 + 162.88 + 38.048 + 53 + 101.35)
= 2624 - 1505.398
= 1118.602
Now,
The number of months to save.
= 11573.28 ÷ 1118.602
= 10.35
Thus,
The number of months to save is 10 months.
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A cylinder has a base diameter of 8ft and a height of 20ft. What is it's volume in cubic ft, to the nearest 10th place?
Answers
Answer:
1005.3 ft³
Step-by-step explanation:
cylinder has a base diameter of 8ft and a height of 20ft. What is it's volume in cubic ft, to the nearest 10th place?
Given that:
Base diameter = 8feets
Radius, r = 8/2 = 4 feets
Height h, = 20 feets
Volume of cylinder, V = πr²h
V = π * 4² * 20
V = π * 16 * 20
V = 1005.3096
V = 1005.3096 ft³
an object dropped from a height of 270 feet will fall according to the equation , where t is measured in seconds, and h(t) is measured in feet. what is the height of the object after 2.3 seconds? feet how long will it take for the object to hit the ground? seconds give your answers as decimal values, accurate to 2 decimal places
Answers
The height of the object after 2.3 seconds is 107.08 feet. It will take 4.62 seconds for the object to hit the ground. The values are accurate to 2 decimal places.
The equation given is h(t) = -16t2 + 270. Since we are looking for the height of the object after 2.3 seconds, we need to replace the value of t with 2.3. So we have h(2.3) = -16(2.3)2 + 270. This simplifies to h(2.3) = -56.89 + 270, which is equal to 213.11. The height of the object after 2.3 seconds is therefore 213.11 feet. To calculate how long it will take for the object to hit the ground, we need to set h(t) = 0 and solve for t. This gives us 0 = -16t2 + 270, which simplifies to 16t2 = 270. Dividing both sides by 16 gives t2 = 16.875, and taking the square root of both sides gives t = 4.06. Since the object is falling, we need to take the positive value of t, which is 4.06. The time it will take for the object to hit the ground is therefore 4.06 seconds. The values are accurate to 2 decimal places, so the time it will take for the object to hit the ground.
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Evaluate the integral of 4 raised to the power of 3 times x, dx
Answers
We have to evaluate the integral:
\(\int4^{3x}dx\)We start with a substitution:
\(\begin{gathered} u=3x \\ \frac{du}{dx}=3\Rightarrow dx=\frac{du}{3} \end{gathered}\)Then, we can now apply the substitution and then the rule for exponential functions:
\(\int4^{3x}dx=\int4^u\frac{du}{3}=\frac{1}{3}\int4^udu\)\(\frac{1}{3}\int4^udu=\frac{1}{3}\cdot\frac{4^u}{\ln(4)}+C\)We can replace back with x and write:
\(\frac{4^u}{3\ln(4)}=\frac{4^{3x}}{3\ln(4)}\)Then, the solution to the integral is:
\(\int4^{3x}dx=\frac{4^{3x}}{3\ln(4)}+C\)This result does not match any of the options.
Answer: none of these.
Jorge compro en la papeleria 3 Borradores y 2 lápices, por ellos pago $47.50. si la suma de lo que cuesta un borrador y un lápizes $20 ¿cuanto vale cada borrador y cada lápiz?
Por favor es urgente
Answers
Answer:
Cost of each pencil = $12.5
Cost of each eraser = $7.5
Step-by-step explanation:
Given:
Number of eraser bought = 3
Number of pencil bought = 2
Total amount paid = $47.50
Cost of one pencil and one eraser = $20
Find:
Each cost
Computation:
Let;
Cost of each eraser = e
Cost of each pencil = p
So,
e + p = 20
e = 20 - p .................................... eq1
3e + 2p = 47.50
3(20 - p) + 2p = 47.50
60 - 3p + 2p = 47.50
-p = -12.5
Cost of each pencil = $12.5
e = 20 - p
e = 20 - 12.5
e = 7.5
Cost of each eraser = $7.5
What is a Proportional Relationship?
1. One apple costs 25¢. Determine each cost.
a) 2 apples
b) 3 apples
c) 4 apples
d) 6 apples
e) 9 apples
f) 12 apples
Answers
choose the correct vertical asymptote(s).
Glven the function, f(x) =
x+1
X-4
O x= -4, x= 4
O x= 4
O x= -2, x = 2
O x= 2
Answers
What is the approximate circumference of the circle shown below?
A. 48.7 cm
B. 24.3 cm
C. 97.3 cm
D. 39.5 cm
Answers
Answer:
The answer is A. 48.7
Step-by-step explanation:
The approximate circumference of the circle is,
⇒ C = 48.7 cm
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
A circle is shown in image.
And, Diameter of circle = 15.5 cm
Since, WE know that;
Circumference of circle is,
C = πd
Where, d is diameter of circle
Hence, The approximate circumference of the circle is,
⇒ C = 3.14 × 15.5
⇒ C = 48.7 cm
Thus, the circumference of the circle is,
⇒ C = 48.7 cm
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How many solutions does the system have? You can use the interactive graph below to find the answer.x+2y=2 2x+4y=−8
Answers
Answer:
0
Step-by-step explanation:
Since you didn't attach an image of the graph I'll have to do this the hard way.
x + 2y = 2 (1)
2x + 4y = -8 (2)
x + 2y = -4 (Divide equation (2) by 2)
0 = 6 (Subtract the third equation from the first)
Since 0 is not equal to 6 the answer is No Solutions.
Answer:
no solutions
Step-by-step explanation:
x+2y=2
2x+4y=−8
Multiply the first equation by -2
-2x -4y = -4
Add this to the second equation
-2x-4y = -4
2x +4y = -8
--------------------------
0x+0y = -12
0 = -12
This is never true so there are no solutions
Which property can be used to justify the statement?
Answers
Answer:
Symmetric Property of Equality
Step-by-step explanation:
The symmetric property of equality is a simple property that says we can interchange the sides of an equation without changing the truth-value of the equation. That is, if a = b, then b = a. Each side of the equation can be thought of as the mirror image of the other side.
Hope you understood
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the expected value is equal in mathematical computation to the ____________
Answers
The expected value is the long-term average outcome of a random variable. It is calculated by multiplying each possible outcome by its probability and summing them up. In simpler terms, it represents the average value we expect to get over many trials.
The expected value is a concept in probability and statistics that represents the long-term average outcome of a random variable. It is also known as the mean or average. To calculate the expected value, we multiply each possible outcome by its probability and sum them up.
For example, let's say we have a fair six-sided die. The possible outcomes are numbers 1 to 6, each with a probability of 1/6. To find the expected value, we multiply each outcome by its probability:
1 * 1/6 = 1/62 * 1/6 = 2/63 * 1/6 = 3/64 * 1/6 = 4/65 * 1/6 = 5/66 * 1/6 = 6/6Summing up these values gives us:
1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6 = 21/6 = 3.5
Therefore, the expected value of rolling a fair six-sided die is 3.5. This means that if we roll the die many times, the average outcome will be close to 3.5.
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Calls for a particular center occur at an average rate of 30 per hour. Find the probability that there are at least two calls in a given minute, correct to 2 decimal places.
Answers
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Get the probability of calls within a minute
\(\begin{gathered} 30\text{ calls = 1 hour} \\ 30\text{ calls = 60 minutes} \\ \text{Converting to calls per minute will be:} \\ \frac{30}{60}=0.5 \end{gathered}\)STEP 2: Write the formula for getting the probability that there are at least two calls in a given minute.
\(At\text{ least 2=}P(X\ge2)=1-(P(X=0)+P(X=1))\)STEP 3: Write the formula for P(X=r)
\(P(X=r)=\frac{e^{-np}\times(np)^r}{r!}\)STEP 4: Find P(X=0)
\(\begin{gathered} P(X=r)=\frac{e^{-np}\times(np)^r}{r!} \\ P(X=0)=\frac{e^{-0.5}\times(0.5)^0}{0!}=e^{-0.5}=0.6065 \end{gathered}\)STEP 5: Find P(X=1)
\(\begin{gathered} P(X=r)=\frac{e^{-np}\times(np)^r}{r!} \\ P(X=1)=\frac{e^{-0.5}\times(0.5)^1}{1!}=0.3033 \end{gathered}\)STEP 6: Find P(X>=2)
\(\begin{gathered} P(X\ge2)=1-(0.6065+0.3033) \\ P(X\ge2)=1-0.9098=0.0902 \end{gathered}\)Hence, the probability that there are at least two calls in a given minute is 0.0902
Ashley, sending to her directly with the number of hours she worked. Suppose that she works seven hours yesterday and earned $84 if she earned 60 today how many hours is she work today?
Answers
Answer:
5 hours
Step-by-step explanation:
To figure this out we will do the total she earned yesterday divided by the hours she worked. So, 84/7=12. So know we know how much she earns in an hour, $12. So if she is earn $60 today then we should do 60/12 to figure out how many hours she worked. 60/12=5. So she worked 5 hours.
I hope this helps!!!
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How do you write r2/3 t1/3 in radical form?
Answers
I hope this helps you
Mr. Andrew bought 15 boxes of crayons at the store to share with his students. Each box contains 64 crayons. Write an equation that represents c, the total number of crayons that Mr. Andrew bought. Use your equation to solve for the total number of crayons.
Answers
Answer: 960 crayons
Step-by-step explanation:
From the question, we are informed that Mr Andrew bought 15 boxes of crayons at the store to share with his students and that each box contains 64 crayons.
The equation that represents c, the total number of crayons that Mr. Andrew bought will be:
C = 15 × 64
= 960 crayons
step by step explanation
Answers
Answer:
only a is the right triangle
Step-by-step explanation:
only a is the right triangle because it satisfies the pythagorean theorem.
a.)
\(c ^{2} = a ^{2} + b ^{2} \\ 63 = 25 + 38\\ 63 = 63 \\ true\)
while b,
b.)
\(c ^{2} = a ^{2} + b ^{2} \\ 60 = 25 + 38 \\ 60 = 63 \\ false\)
For any positive numbers a,b, and d, with b not equal to 1, log base b (a/d) = A. Log base b a * log base b d B. Log base b a + log base b d C. Log base b a - log base b d D. D * log base b a
Answers
Answer:
C. Log base b (a) - Log base b (d)
Step-by-step explanation:
In logarithm, log means index or exponent. It can be explained with following example. Consider 2^5 = 32
here index = log = 5 so you can write the log of 32 = 5
Consider 64/16 = 4
now 64 = 2^6 and 16 = 2^4
We can write log 2(64) = 6 and log2(16)=4
Now log 64/16= log 4= 2
Also log2(64)-log2(16)=6-4=2
Therefore
Log base b (a/d) = Log base b (a) - Log base b (d)
For what amount of exit proceeds would these two structures yield the same amount of carried interest?
.20 (Z-250) = .30 (Z-200)
Solve for Z.
Answers
Answer:
Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"
In finance, we need to do partial observations of data and estimate the data generating process (DGP) -- for example, log-normal returns. Sometimes, we can observe only the data points of a certain process, but we don't know what is the function generating the process. Consider the following graph is a plot of the f ′
(x), of a function f(x) given. What is the underlaying function ( f(x −
i)) that is the generator of the observed points in the plot f ′
(x −
i), for points x −
1=−1,x −
2=−0.9,…,x −
n=1?
Answers
The underlying function f(x - i) that generates the observed points f'(x - i) in the plot can be determined by integrating the observed points. By integrating f'(x - i), we can obtain f(x - i) up to a constant of integration.
The constant of integration can be determined by incorporating additional information or constraints related to the problem or by considering the behavior of the function at a specific point.
To find the underlying function f(x - i) that generates the observed points f'(x - i), we need to integrate the observed points.
Integration is the reverse process of differentiation, so by integrating f'(x - i), we can recover f(x - i) up to a constant of integration.
The constant of integration arises because integration does not provide a unique solution.
The constant represents an arbitrary additive term that can vary depending on the specific problem or additional constraints.
To determine the constant of integration, we may need additional information or consider specific conditions related to the problem.
It is also important to note that the accuracy of estimating the underlying function f(x - i) depends on the quality and quantity of the observed data points f'(x - i). More data points and precise measurements can lead to a better estimation of the underlying function.
Additionally, the behavior of the function at a specific point can provide valuable insights for determining the constant of integration and refining the estimation of the underlying function.
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The sum of the first 8 terms of a particular arithmetic series is 14, and the sum of the first 9 terms of the same series is 27. What is the 9th term of the series ?
Answers
Answer:
a₉ = 13
Step-by-step explanation:
a₉ = \(S_{9}\) - \(S_{8}\) = 27 - 14 = 13
A social networking site currently has 40,912 active members per month, but that figure is dropping by 5% with every month that passes. How many active members can the site expect to have in 10 months?
Answers
Answer:
24496
Step-by-step explanation:
40912 * (1-5%) ^10 = 24495.5
becuase they are humans, so round up to 24496
I’m tired and I need to explain this. But I don’t feel like writing it
Answers
Area of figure A :
7.5 unit²Area of figure B :
10 unit