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Related Questions
solve quadratic equation (x-3)^2+5=14
Answers
Answer:
the Answer is 14=5+2^(3-x)
Step-by-step explanation:
How do I find the average rate of change of the function from x1 to x2?
The function is f(x)= -2x + 15 and x1= 0, x2= 3
Answers
Answer:
The average rate of change of the function f(x) = -2x + 15 from x1 = 0 to x2 = 3 is -2.
Step-by-step explanation:
To obtain the average rate of change of a function from x1 to x2, you can use the formula:
Average Rate of Change = (f(x2) - f(x1)) / (x2 - x1)
In this case, you are given the function f(x) = -2x + 15, and the values x1 = 0 and x2 = 3.
First, calculate the values of f(x1) and f(x2) by substituting x1 and x2 into the function:
f(x1) = -2(0) + 15 = 15
f(x2) = -2(3) + 15 = 9
Now we can substitute these values into the formula for average rate of change:
Average Rate of Change = (f(x2) - f(x1)) / (x2 - x1)
= (9 - 15) / (3 - 0)
= -6 / 3
= -2
Therefore, the average rate of change of the function f(x) = -2x + 15 from x1 = 0 to x2 = 3 is -2.
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Find the Z-scores that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution.
Answers
The z score that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution is ±0.77.
Given that the z score separates the 56% of the distribution from the area in the tails of the standard normal distribution.
In a normal distribution in with mean μ and standard deviation σ, the z score of a measure X is as under:
Z=(X-μ)/σ
It is used to measure how many standard deviations the measure is from the mean.
After finding the z score we have to look at the z score table and find the p value associated with this z score, which is the percentile of X.
The normal distribution is symmetric which means that the middle 56% is between the 11th and 67th percentile. Looking at the z table the z scores are Z=±0.77.
Hence the z score that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution is ±0.77.
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Find the value of x.
Use statement and reason format.
Answers
By using properties for angles we can find and solve some linear equations, there we can see that x = 30°.
How to find the value of x?Remember that the sum of the interior angles of a triangle must give 180°, and we also know that the angle defined by a line is 180°.
Let's define N as the angle located at vertex N of the right triangle in the left side, we then can write:
2x + 90° + N = 180°
And we also can write the linear equation:
105° + 45° + N = 180°
Solving this one, we can find the value of N.
N = 180° - 45° - 105° =30°
N = 30°
Replacing that in the equation with x we will get:
2x + 90° + 30° =180°
2x = 180° - 90° - 30°
2x = 60°
x = 60°/2 = 30°
The value of x is 30°.
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a country uses as currency coins with values of 1 peso, 2 pesos, 5 pesos, and 10 pesos and bills with values of 5 pesos, 10 pesos, 20 pesos, 50 pesos, and 100 pesos. find a recurrence relation for the number of ways to pay a bill of n pesos if the order in which the coins and bills are paid matters
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when we pay n pesos, then recurrence relation for all the number are in a ways to pay a bill is in this order:\(a_{n} =a_{n-1}+a_{n-2}+2a_{n-5}+2a_{n-10}+ a_{n-20}+a_{n-50}+a_{n-100}\)
A recurrence relation is an equation which represents a chain primarily based totally on a few rule. It enables in locating the following time period (subsequent time period) established upon the previous time period (preceding time period). If we recognise the preceding time period in a given series, then we will without difficulty decide the following time period.
Recurrence family members are used to lessen complex issues to an iterative procedure primarily based totally on less difficult variations of the trouble. An instance trouble wherein this technique may be used is the Tower of Hanoi puzzle. Recurrent is some thing that happens frequently or repeatedly. However, in case you are speakme approximately a recurrence relation, then you definitely have a mathematical shape which you are handling and it's miles really specific than a recursive formula. Recursion is the repeated use of a process or action.
pay 1 pesos coin , then n-1 pesos
pay 2 pesos coin , then n-2 pesos if n ≥ 2
pay 5 pesos coin , then n-5 pesos if n ≥ 5
pay 10 pesos coin , then n-10 pesos if n ≥ 10
pay 5 pesos bill , then n-5 pesos if n ≥ 5
pay 10 pesos bill , then n-10 pesos if n ≥ 10
pay 20 pesos bill , then n-20 pesos if n ≥ 20
pay 50 pesos bill , then n-50 pesos if n ≥ 50
pay 100 pesos bill , then n-100 pesos if n ≥ 100
a0=1
so i have recurrence relation as follows:
\(a_{n} =a_{n-1}+a_{n-2}+2a_{n-5}+2a_{n-10}+ a_{n-20}+a_{n-50}+a_{n-100}\)
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M+n-q+p= (?)
j nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
Answers
Answer:
Can You Make the Question Clear Please!?
find the rate of change for the linear function given in the table
Answers
Answer:
.
Step-by-step explanation:
..
But if it helps here Is the slope formula
(X1, Y1). (X2, Y2)
Y2-Y1
———-
X2-X1
Hope this helped ;)
a jar contains five black buttons and six brown buttons. If 8 buttons are picked at random,what is the probability that at least 4 of them are black?
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First, we write out the probability formula:
\(Pr(E)=\frac{n(R\text{equired outcome)}}{n(Total\text{ outcome) }}\)Total number of tickets = 13
Pr(both Ashley and Matt win) = Pr(Ashley wins) x Pr(Matt wins)
\(\begin{gathered} Pr(\text{Ashley win ) }=\text{ }\frac{1}{13} \\ Pr(\text{Matt win) = }\frac{1}{13} \end{gathered}\)\(Pr(\text{both wins ) }=\frac{1}{13}\times\frac{1}{13}=\frac{1}{169}\)The final answer is 1/169
In order to express our answer as a percentage, we multiply by a 100%
= 1/169 x 100% = 0.592% ( to 3 significant figures)
1. A study is made to see if increasing the substrate concentration has an appreciable effect on the velocity of a chemical reaction. With a substrate concentration # 1, the reaction was run 15 times with an average velocity of 7. 5 micromoles per minutes and a standard deviation of 1. 5 with a substrate concentration #2, 12 runs were made, yielding an average velocity of 8. 8 micromoles per minutes and a sample standard deviation of 1. 2. Is there any reason to believe concentration #2 causes an increase in the mean velocity over concentration #1? use 0-0. 05 level of significance and assume the populations to be approximately normal distribution with equal variance. Instructions 1. Hypothesis.
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There is not enough evidence
What is standard deviation ?An indicator of how much a group of numbers vary or are dispersed is the standard deviation. [1] When the standard deviation is low, the values are more likely to fall within a narrow range, also known as the expected value, whereas when the standard deviation is high, the values tend to be closer to the mean.
For 1.5 moles substrate concentration per liter
Reaction ( n2 ) = 15 runs
average velocity ( x2 ) = 7.5 micromoles per 30 minutes
standard deviation ( s2 ) = 1.5
For 2.0 moles substrate concentration per liter
Reaction( n1 ) = 12 runs
(x1) = 8.8 micromoles on average per 30 minutes
standard deviation ( s1 ) = 1.2
Show Reason to believe that this increase in substrate conc causes an increase in mean velocity
Hypothesis test
H0 : μ1 - μ2 = 0.5
H1 : μ1 - μ2 > 0.5
significance level ( ∝) = 0.01
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Jeremy is on the planning committee for the rock climbing club. He is putting together a trip where members can go outdoor rock climbing. He is trying to determine how high the group should climb and how long the trip should last. He calls multiple parks in the area that offer rock climbing and collects data on the height of the rock formations and the average time it takes people to reach the top and come back down. The data he found is shown.
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Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Solve analytically Laplace's equation Au=0 in the square [0, 1]²2 with boundary conditions u(x,0) = 0 = u(0, y), u(x, 1) = u(1, y) = 1.
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The Laplace equation is defined as Au=0. The aim is to solve analytically Laplace's equation in the square [0, 1]²2 with boundary conditions u(x,0) = 0 = u(0, y), u(x, 1) = u(1, y) = 1.
Let's consider the Laplace equation as followsAu = ∂²u/∂x² + ∂²u/∂y²= 0Given boundary conditions areu(x, 0) = 0u(0, y) = 0u(x, 1) = u(1, y) = 1The solution of the Laplace equation is as followsu(x,y) = X(x).Y(y)Let's find the boundary conditionsu(x, 0) = 0
Let's substitute the value of Y(0) in the solution to get X(x).Y(0) = 0, which implies Y(0) = 0Similarly, u(0, y) = 0 => X(0).Y(y) = 0 => X(0) = 0Now, let's find the remaining boundary conditionsu(x, 1) = 1X(x).Y(1) = 1 => Y(1) = 1/X(x)u(1, y) = 1 => X(1).Y(y) = 1 => X(1) = 1/Y(y)Now, let's put the values of X(0) and X(1) in the below equationX(0) = 0, X(1) = 1/Y(y)X(x) = x
Now, let's put the values of Y(0) and Y(1) in the below equationY(0) = 0, Y(1) = 1/X(x)Y(y) = sin(n.π.y) /sinh(n.π)Therefore, the solution of Laplace's equation u(x, y) is as follows;u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π)Answer:Therefore, the solution of Laplace's equation u(x, y) is u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π).
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If Jimmy's age is one year less than the sum of his ages of his siblings serena and tyler. which equation represents Jimmy's age?
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Jimmy's age = (serena age + tyler age) - 1
Help me please asapp
Answers
ED and AC are congruent
Write Statement as:
AB*BC=EB*BD
8(4x+2)=9(4x)
32x+16=36x
16=4x
4=x
Hope it helps!
You are planning a cookout and figure that you will need at least 3 packages of hot dogs and hamburgers. A package of hot dogs, x, costs $4 and a package of hamburgers, y, costs $5. You can spend a maximum of $20 on hot dogs and hamburgers.
a. Write a system of linear inequalities for the number of packages of each that can be bought.
Answers
A system of linear inequalities for the number of packages of both hot dogs and hamburgers that can be bought is as follows:
x + y ≥ 3.
4x + 5y ≤ 20.
How to write the required system of linear inequalities?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of hamburgers respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of packages of hot dogs.Let the variable y represent the number of packages of hamburgers.Since you will need at least 3 packages of both hot dogs and hamburgers, the linear inequality to represent this is as follows:
x + y ≥ 3.
For the cost of both hot dogs and hamburgers, and the maximum amount you can spend;
4x + 5y ≤ 20.
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The box plots show the weights, in pounds, of the dogs in two different animal shelters.One-half of the dogs in each shelter are between which weights?
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One-half of the dogs in each shelter are between the weights represented by the first and third quartiles, which are approximately 20-55 pounds for the first shelter and 25-65 pounds for the second shelter, respectively.
A box plot is a visual representation of a set of data that shows the median, quartiles, and outliers of the data. The box represents the middle 50% of the data, with the bottom and top edges of the box representing the first and third quartiles, respectively. The line inside the box represents the median, or the middle value of the data set. The "whiskers" extend from the edges of the box to the minimum and maximum values of the data set, but outliers beyond the whiskers are represented as individual points.
Now, let's look at the two box plots showing the weights of dogs in two different animal shelters. One-half of the dogs in each shelter are between the first and third quartiles, which are represented by the edges of the box in each plot.
If we take the first box plot, we can see that the first quartile is approximately 20 pounds and the third quartile is approximately 55 pounds. Therefore, one-half of the dogs in this shelter weigh between 20 and 55 pounds.
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Find the area of each regular polygon. Leave answer in simplest form.
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The areas of the regular polygons are listed below:
Case 8: A = 166.277
Case 10: A = 166.277
Case 12: A = 779.423
Case 14: A = 905.285
Case 16: A = 678.964
Case 18: A = 332.554
Case 20: A = 1122.369
Case 22: A = 166.277
How to determine the area of a regular polygon
In this problem we must determine the areas of eight regular polygons, whose formula is now shown below:
A = 0.5 · (n · l · a)
a = 0.5 · l / tan (180 / n)
Where:
a - Apothemal - Side lengthn - Number sidesNow we proceed to determine the area of each polygon:
Case 8:
l = 2 · a · tan (180 / n)
l = 2 · 4√3 · tan 30°
l = 8√3 · (√3 / 3)
l = 8
A = 0.5 · (n · l · a)
A = 0.5 · 6 · 8 · 4√3
A = 166.277
Case 10:
a = 0.5 · l / tan (180 / n)
a = 0.5 · 8 / tan 30°
a = 4 / (√3 / 3)
a = 4√3
A = 0.5 · (n · l · a)
A = 0.5 · 6 · 8 · 4√3
A = 166.277
Case 12:
a = 0.5 · l / tan (180 / n)
a = 0.5 · 10√3 / tan 30°
a = 5√3 / (√3 / 3)
a = 15
A = 0.5 · (n · l · a)
A = 0.5 · 6 · 10√3 · 15
A = 779.423
Case 14:
l = 2 · a · tan (180 / n)
l = 2 · (28√3 / 3) · tan 30°
l = (56√3 / 3) · (√3 / 3)
l = (56 · 3 / 9)
l = 56 / 3
A = 0.5 · (n · l · a)
A = 0.5 · [6 · (56 / 3) · (28√3 / 3)]
A = 905.285
Case 16:
l = 2 · a · tan (180 / n)
l = 2 · 14 · tan 30°
l = 28 · √3 / 3
l = 28√3 / 3
A = 0.5 · (n · l · a)
A = 0.5 · 6 · (28√3 / 3) · 14
A = 678.964
Case 18:
l = 2 · a · tan (180 / n)
l = 2 · 8 · tan 60°
l = 16√3
A = 0.5 · (n · l · a)
A = 0.5 · 3 · 16√3 · 8
A = 332.554
Case 20:
a = 0.5 · l / tan (180 / n)
a = 0.5 · 12√3 / tan 30°
a = 6√3 / (√3 / 3)
a = 18
A = 0.5 · (n · l · a)
A = 0.5 · 6 · 12√3 · 18
A = 1122.369
Case 22:
a = 0.5 · l / tan (180 / n)
a = 0.5 · 8 / tan 30°
a = 4 / (√3 / 3)
a = 4√3
A = 0.5 · (n · l · a)
A = 0.5 · 6 · 8 · 4√3
A = 166.277
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Marco wants to buy a new smartphone that costs $495. He has already saved $75. Write and solve an inequality to find the least amount of money,
m, that Marco still needs to save before he can buy the smartphone. Enter your answer in the box
Marco needs to save at least $
Answers
Answer:
495-75=420 so
(−10,7)∪(7,11)(−1,2)∪(−4,0)[−1,9)∪(2,10]
Step-by-step explanation:
420 is that Marco still needs to save before he can buy the smartphone.
Here's a screenshot of the answer below:
A chord cuts off a 120 degree arc. If the radius of the circle is 26 inches, find the
chord length
Answers
Answer:
26sqrt(3)
Step-by-step explanation:
You end up with two 30-60-90 triangles.
26/2 = 13
2 * 13 * sqrt(3) = 26sqrt(3)
What is that rate of change for the equation y=2x+60?
Answers
Answer:
2
Step-by-step explanation:
the rate of change is basically the slope. In this equation the coefficient of x is the slope. The coefficient of x is 2. So 2 is your slope
NEED HELP IMMEDIATELY!
Simplify 10√2y + 5√2y + 3√2y.
A. 18√6y
B. 18√2y
C. 12√2y
D. 18√6y^3
(ANSWER IS NOT A)
Answers
18 root
2
Step-by-step explanation:
In this question imagine there is no y
It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2
A bag contains 2 white balls, 6 orange balls and 2 red balls. If a ball is drawn, find the probability that it is a white or red ball.
Answers
First, let's calculate the total amount of balls:
\(2+6+2=10\)Since there are 2 white balls and 2 red balls, the number of white or red balls is 4.
So the probability is:
\(p=\frac{red\text{ or }white}{total}=\frac{4}{10}=\frac{2}{5}\)Correct option: A
Find the surface area of the prism.
Answers
Answer:
508
Step-by-step explanation:
Answer:
Surface area = 508
Step-by-step explanation:
Width = 11
Length = 4
Height = 14
Equation: 2(lw+lh+wh)
2(4•11+4•14+11•14) = 508
Find the equation that represents the proportional relationship in this graph, for y in terms of x.
Answers
Answer:
y = \(\frac{1}{3}\)x
Step-by-step explanation:
As y increases by 1, x increases by 3.
Helping in the name of Jesus.
What is Van t Hoff law explain?
Answers
Van 't Hoff's law, also known as the law of osmotic pressure, states that the magnitude of the osmotic pressure is directly proportional to the concentration of solute particles in a solution at a given temperature.
Van 't Hoff's law is an important concept in chemistry and thermodynamics. It explains the relationship between osmotic pressure and the concentration of solute particles in a solution. According to the law, the osmotic pressure of a solution is directly proportional to the number of solute particles in the solution, regardless of the type of solute. This means that if the concentration of solute particles in a solution increases, the osmotic pressure also increases, and vice versa. This law has numerous applications, particularly in the field of biology, where it is used to explain the movement of water and nutrients in and out of cells. For example, when a plant cell is placed in a hypertonic solution, water moves out of the cell, causing it to shrink. On the other hand, when a plant cell is placed in a hypotonic solution, water moves into the cell, causing it to expand. Understanding Van 't Hoff's law is therefore critical in many fields of science, particularly in biology, chemistry, and chemical engineering.
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The probability of breaking a window while playing baseball in the backyard is 0.78. What is the likelihood that a window will be broken?
A.unlikely
B.neither unlikely nor likely
C.likely
D.certain
Answers
2. Gary receives a weekly salary of $632.00. If his normal workweek is 40 hours and he is paid time-and-a-half for any hours worked over 40 a week, what are his gross earnings for a week whenhe worked 50 hours?$889.00$879.00$869.00$899.00
Answers
The key to solving this problem is knowing that we need to estimate the earnings for hours worked over 40 hours. They are paid 1.5 times the normal we
Gary receives a weekly salary:
$632.00
The normal workweek is 40 hours.
He is paid time-and-a-half for any hours worked over 40 hours a week.
Therefore:
He is paid:
$632/40hours = $15.80/hour
If he worked 50 hours, then:
50 hours - 40 hours = 10 hours (he worked 10 hours more).
These hours are paid time-and-a-half, that is, 1.5 more than the normal hours. Then
10 hours * $15.80/hour * 1.5 = $237.00
This is what he will receive for working over 40 hours (working 10 hours).
Then, his gross earnings for a week when he worked 50 hours are:
$632.00 + $237.00 = $869
Use the Central Limit Theorem to find the probability of the indicated event, assuming that the distribution of the population data is unknown. In a certain city, employees work an average of 18.9 hours of overtime every month, with a standard deviation of 7.8 hours. What is the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours? Provide a solution showing your calculations and submit your work for marking. Include a sketch as part of your complete solution. P(X > 20)=
Answers
The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.
To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.
Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).
For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.
To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.
In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.
Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.
Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.
Here's a sketch to visualize the calculation:
|
|
|
| **
| * *
| * *
| * *
| * *
| * *
| * *
-------------------|--------------------------
18.9 | 20
The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.
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Coma and death are possible when _____.
alcohol is ingested slowly
the LD50 is kept low
the BAC nears the LD50 of ethyl alcohol
the BAC is 0.15 percent or more
Answers
Simplify and write your answer in the form a+bi.
10/1+2i (this is a fraction)
Answers:
A. 10-20i/5
B. 2-4i
C. 1-2i
D. 10+5i
Answers
\(\dfrac{10}{1+2i}\\\\\\=\dfrac{10(1-2i)}{(1+2i)(1-2i)}\\\\\\=\dfrac{10-20i}{1 - (2i)^2}\\\\\\=\dfrac{10-20i}{1+4}~~~~~;[i^2 =-1]\\\\\\=\dfrac{10-20i}5\\\\=\dfrac{10}5 - \dfrac{20i}5\\\\=2-4i\)
PLEAAASSSEE HELP!! ITS DUE IN 1 HOUR
Answers
Answer:
-4 and +4
Step-by-step explanation:
(- - - -) = -4
(+ + + +) = 4 or +4