Answer: \(67^{\circ}\)
Step-by-step explanation:
\(m\angle AEB=\frac{102+32}{2}=\boxed{67^{\circ}}\)
Which graph shows a set of ordered pairs that represents a function?
On a coordinate plane, solid circles appear at the following points: (negative 5, 4), (negative 3, 2), (negative 1, 3), (1, 1), (1, negative 2), (3, negative 3).
On a coordinate plane, solid circles appear at the following points: (negative 5, 2), (negative 4, negative 4), (negative 3, 4), (negative 2, 2), (2, negative 2), (4, 3).
A relation's origin is represented as an ordered pair.
(-5, -2), (-4, -4), (-3, 4), (-2, 2), (2, -2) are all ordered pairs that reflect the same function (4, 3)
What is an ordered pair?A composite of the x coordinate and the y coordinate, an ordered pair has two values that are stated in a defined order between parenthesis. In order to have a better understanding of what is being shown on the screen, it is helpful to identify a point on the Cartesian plane.
Either of the following conditions must be true for an ordered pair to constitute a function:
Every x-value has precisely one matching y-value, or "one-to-one."
This is a many-to-one relationship, meaning that several x-values map to the same set of y-values.
The ordered pair is not a function if and only if both of the following are false
A one-to-many relationship means that for every x-value, there may be many y-values.
Many x-values map to many y-values; the relationship is many-to-many.
Only the ordered pair (5, -2) meets the criteria for a function out of the possibilities (5, -4), (3, 4), (2, -2), (4, 3), and (-4, -2).
This is because no x-values in its range have more than one associated y-value.
One-to-many and many-to-many ordered pairings make up the rest of the set.
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CQ
Which graph shows a set of ordered pairs that represents a function? On a coordinate plane, solid circles appear at the following points: (negative 5, 4), (negative 3, 2), (negative 1, 3), (1, 1), (1, negative 2), (3, negative 3). On a coordinate plane, solid circles appear at the following points: (negative 5, negative 2), (negative 4, negative 4), (negative 3, 4), (negative 2, 2), (2, negative 2), (4, 3). On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 1, 4), (1, 0), (2, 3), (2, negative 3), (3, 1). On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 3, negative 4), (negative 3, 4), (negative 2, 1), (2, negative 3), (3, negative 1). Mark this and return
In the American economy, a person _____.
a.)is prohibited from competing against other people
b.)can function as both a worker and a consumer
c.)must use the bartering system to get goods and services
d.)is not allowed to make a large profit from selling property
B
It is quite obvious. America is capatalist, we are relatively free here. No laws regulate competing against other people nor regulating the ability to make a large profit from real estate.
if you were confused with C, the word bartering basically means trading goods. In order to acquire good most people use money, we do not have to trade things like bread for steak n stuff.
Hope it helps
The population on a certain island increased from 1500 in 2000 to 1577 in 2001 a. Determine the growth rate b. Write a general equation for the popolation p(t) c. Estimate the population in 2010 d. How many years will it take for the population to double?
Therefore, it will take approximately 13.7 years for the population to double.
a. To determine the growth rate, you need to calculate the percentage increase in population. The formula for growth rate is:
Growth Rate = (New Value - Old Value) / Old Value * 100
Using the given values, we have:
Growth Rate = (1577 - 1500) / 1500 * 100
Growth Rate = 77 / 1500 * 100
Growth Rate ≈ 5.13%
b. To write a general equation for the population, you can use the formula:
p(t) = p(0) * (1 + r/100)^t
where p(t) is the population at time t, p(0) is the initial population, r is the growth rate, and t is the number of years.
c. To estimate the population in 2010, we need to find the population at time t = 2010 - 2000 = 10 years. Using the general equation from part b, and substituting the given values:
p(10) = 1500 * (1 + 5.13/100)^10
p(10) ≈ 1500 * (1.0513)^10
p(10) ≈ 1500 * 1.6436
p(10) ≈ 2465.4
Therefore, the estimated population in 2010 is approximately 2465.
d. To find out how many years it will take for the population to double, we need to solve the equation:
2 * p(0) = p(0) * (1 + r/100)^t
Simplifying the equation, we have:
2 = (1 + r/100)^t
Taking the logarithm of both sides, we get:
log(2) = t * log(1 + r/100)
Finally, solving for t, we have:
t = log(2) / log(1 + r/100)
Substituting the growth rate from part a, we have:
t = log(2) / log(1 + 5.13/100)
t ≈ log(2) / log(1.0513)
t ≈ 13.7 years
Therefore, it will take approximately 13.7 years for the population to double.
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Graph the function rule.
y = 2x + 3
fast as possible pls, 100 points
Complete the product:
5x^3 (7x−1)
Answer:
35 x^4 - 5x^3
Step-by-step explanation:
5x^3 (7x−1)
Distribute
5x^3 (7x) +5x^3 *(−1)
35 x^3 *x - 5x^3
35 x^4 - 5x^3
Answer:
Answer:
35 x^4 - 5x^3
Step-by-step explanation:
5x^3 (7x−1)
Distribute
5x^3 (7x) +5x^3 *(−1)
35 x^3 *x - 5x^3
35 x^4 - 5x^3
Step-by-step explanation:
PLEASE HELP DUE IN 10 MINUTES!!!!!!!!!!
The radius of a giant beach ball is 18 inches. What is its surface area?
Answer:
4071.5 in^2
Step-by-step explanation:
The surface area of a sphere of radius r is A = 4πr²
In this case, with r = 18 in, A = 4π(18 in)² = 4071.5 in²
consider the following statement: newexample = (50 <= 75) ? 50-75 : 75-50; what is the value of the variable newexample?
the value of the variable newexample is -25.The given statement is a conditional (ternary) operator expression in the form:
condition ? expression1 : expression2
If the condition (50 <= 75) is true, then the value of newexample will be expression1 (50-75). If the condition is false, then the value of newexample will be expression2 (75-50).
Since 50 is indeed less than or equal to 75, the condition is true. Therefore, the value of newexample will be the result of expression1, which is 50-75.
Performing the subtraction, we get:
newexample = 50 - 75 = -25
Hence, the value of the variable newexample is -25.
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Please helppp please now ASAP
Answer:
Step-by-step explanation:
ok so with triangle sum theorem the equation we use for this is n-2•180 (n equals number of sides, for 3*180 is 540, 540-all non variable numbers leave us with 165, divide 165 by 13 and that’s your answer, if anything round. Please lmk if this is wrong
4. is fishing better from a boat or from the shore? pyramid lake is located on the paiute indian reservation in nevada. presidents, movie stars, and people who just want to catch fish go to pyramid lake for really large cutthroat trout. let row a represent hours per fish caught fishing from the shore, and let row b represent hours per fish caught using a boat. the following data are paired by month from october through april.
The direct answer to the question of whether fishing is better from a boat or from the shore cannot be determined without analyzing the given data.
To determine whether fishing is better from a boat or from the shore, we need to analyze the data provided. However, the data mentioned in the prompt is missing, making it impossible to calculate or draw conclusions based on the information provided.
Unfortunately, without the actual data or information about the fishing success rates from both the boat and the shore, we cannot determine which method is better. Fishing success can be influenced by various factors such as location, weather conditions, time of year, and fishing techniques employed.
To evaluate the effectiveness of fishing from a boat versus fishing from the shore at Pyramid Lake, it would be necessary to compare the catch rates or other relevant measures for both methods over a specific time period. This would provide a more comprehensive analysis and enable us to draw meaningful conclusions about the relative effectiveness of fishing from a boat versus fishing from the shore at Pyramid Lake.
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Josefina is spinning a spinner with 15 equal sectors labeled 1 through 15. What is P(multiple of 2)? Responses 215 2 over 15 15 1 over 5 25 2 over 5 715
The probability of spinning a multiple of 2 on Josefina's spinner is 1/5 or 0.2.
The spinner has 15 equal sectors labeled 1 through 15, of which 7 sectors are even numbers (2, 4, 6, 8, 10, 12, 14).
There are three multiples of 2 on the spinner, which are 2, 4, and 6. Since there are a total of 15 sectors on the spinner, the probability of landing on a multiple of 2 is 3/15 or 1/5.
The probability of landing on an even number is the number of favorable outcomes (7) divided by the total number of possible outcomes (15):
P(multiple of 2) = 7/15
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which of the following facts should make you the most worried about the reliability of the results of the test in this case? there is no need to worry because all of the expected cell counts are above 5. the sample was only 300 black women and is not representative of all black women. two of the six observed counts are 5 or less. not all of the cells' contributions to the chi-squared statistic are greater than 1. two of the six expected counts are less than 5.
Therefore, the reliability of the results may be questioned due to the small sample size and the fact that the observed and expected counts in some cells are too small.
The fact that two of the six observed counts are 5 or less should make you the most worried about the reliability of the results of the test in this case. This is because when the observed counts in a cell are too small, it is difficult to draw reliable conclusions from them. In such cases, the chi-squared statistic may not accurately reflect the true relationship between the variables being studied. This is because the chi-squared statistic is based on the difference between the observed counts and the expected counts, and if the observed counts are too small, the chi-squared statistic may be biased and not accurately reflect the true relationship between the variables.
Moreover, the fact that two of the six expected counts are less than 5 also raises concerns about the reliability of the results. This is because when the expected counts in a cell are too small, it may indicate that the sample size is too small or that the sample is not representative of the population being studied. In this case, the sample size was only 300 black women, which may not be representative of all black women.
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Let X and Y be independent Bernoulli random variables, and assume that X has success probability p and Y has success probability q, where 0 < p, q < 1. Determine the cumulative distribution functions (CDFs) and probability mass functions (PMFs) of Z = max{X,Y } and V = min{X,Y }. Make sure to completely specify these functions. What kinds of distributions do Z and V have?
The PMF of V can be found by taking the difference of the CDF values:
P_V(v) = F_V(v) - F_V(v-1) = { (1-p)(1-q) for v = 0, pq - (1-p)(1-q) for v = 1 }.
To find the CDF of Z = max{X,Y}, we note that Z = 1 if and only if at least one of X and Y is 1. Since X and Y are independent, we have:
P(Z = 1) = P(X = 1 or Y = 1) = P(X = 1) + P(Y = 1) - P(X = 1 and Y = 1)
= p + q - pq
Similarly, P(Z = 0) = P(X = 0 and Y = 0) = (1-p)(1-q). Therefore, the CDF of Z is given by:
F_Z(z) = P(Z ≤ z) = { 0 for z < 0,
(1-p)(1-q) for 0 ≤ z < 1,
p + q - pq for z ≥ 1 }
The PMF of Z can be found by taking the difference of the CDF values:
P_Z(z) = F_Z(z) - F_Z(z-1) = { (1-p)(1-q) for z = 0,
p + q - pq - (1-p)(1-q) for z = 1 }
Similarly, to find the CDF and PMF of V = min{X,Y}, note that V = 0 if and only if both X and Y are 0. We have:
P(V = 0) = P(X = 0 and Y = 0) = (1-p)(1-q)
Similarly, P(V = 1) = P(X = 1 and Y = 0 or X = 0 and Y = 1) = 2pq - pq = pq.
Therefore, the CDF of V is given by:
F_V(v) = P(V ≤ v) = { 0 for v < 0,
(1-p)(1-q) for 0 ≤ v < 1,
1 - pq for v ≥ 1 }
The PMF of V can be found by taking the difference of the CDF values:
P_V(v) = F_V(v) - F_V(v-1) = { (1-p)(1-q) for v = 0,
pq - (1-p)(1-q) for v = 1 }
The distribution of Z is known as a Bernoulli mixture distribution, while the distribution of V is known as a geometric mixture distribution.
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Tommy earned $62.40 in interest after 4 years on a principal of $400. His simple interest rate is 3.9%. Jane
earned $66.60 in interest after 3 years on a principal of $600. Her simple interest rate is 3.7%. Which bank would you rather
use, Tommy's or Jane's? Explain your reasoning.
Answer:
I would rather use Jane's bank because she earned more interest in a shorter amount of time. Jane's bank has a higher simple interest rate of 3.7%, which means she earned more money in a shorter amount of time than Tommy did with his 3.9% rate.
The sum of two numbers is 57 and the difference is 23 what are the numbers?
Answer:
40 and 17
Step-by-step explanation:
40 + 17 = 57
40 - 17 = 23
Not much of an explanation but hope it helps!
Consider the following functions.
f(x)=2x^2+4x+10
g(x)=3x-11
h(x)=3x^3+x^2=21
The value of h(f(g(2)))
Answer:
Step-by-step explanation:
h(f(g(2)))=
h(f(3*2-11))) = h(f( -5))=
h((2*(-5)^2) +4*(-5) +10) = h (50 -20 +10) = h(40)
now calculate h(40) but check if you wrote corectly the equation
Identify which equations have one solution, infinitely many solutions, or no solution. 3u +40+2u = 6u- 30 u 2.2z+32 4.5-3.2 2.3y +3.2-y= 2.1 + 1.3y + 1.1 No Solution One Solution Infinitely Many Solutions 20+4r 32-2r
a) The equation 3u + 40 + 2u = 6u - 30 - u has no solution.
b) The equation 2.2z + 3z = 4.5 - 3.2 has one solution.
c) The equation 2.3y + 3.2 - y = 2.1 + 1.3y + 1.1 has infinitely many solutions.
d) The equation 20 + 4r = 32 - 2r has one solution.
What is an equation with infinitely many solutions ?
The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept.
Let's check which of the given equations have one solution , infinitely many solutions or no solution.
a)
3u + 40 + 2u = 6u - 30 - u
reordering the terms :
5u + 40 = 5u - 30
or subtract 5u from both sides.
5u - 5u + 40 = 5u - 5u - 30
40 = - 30
which is not possible , that meant this equation has no solution.
b)
2.2z + 3z = 4.5 - 3.2
2.2z + 3z = 4.5 - 3.2
5.2z = 1.3
z = 1.3/5.2
or
z = 13/52
This equation has one solution.
c)
2.3y + 3.2 - y = 2.1 + 1.3y + 1.1
Reordering the terms :
1.3y + 3.2 = 1.3y + 3.2
0 = 0
This equation has infinitely many solutions.
d)
20 + 4r = 32 - 2r
Reordering the terms :
6r = 12
r = 2
This equation has one solution.
Therefore , the answers are :
a) The equation 3u + 40 + 2u = 6u - 30 - u has no solution.
b) The equation 2.2z + 3z = 4.5 - 3.2 has one solution.
c) The equation 2.3y + 3.2 - y = 2.1 + 1.3y + 1.1 has infinitely many solutions.
d) The equation 20 + 4r = 32 - 2r has one solution.
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Draw a line segment with endpoints M and R. Now draw a parallel line segment that is the same length as MR¯¯¯¯¯¯¯¯¯ with the endpoints M′ and R′ in the same order.
Which answer correctly describes the transformation from MR¯¯¯¯¯¯¯¯¯ to M′R′¯¯¯¯¯¯¯¯¯¯¯¯?
The required transformation would be in the variable because the slope of parallel lines is always the same.
A line can be defined by the shortest distance between two points is called as a line.
Here,
Line MR is drawn with the endpoints M and R, and another line M'R' is drawn which is parallel to line MR. There is a property of parallel lines that the slope of the parallel lines is always equal. , So the slope of lines are equal there must be a change in variable x and y which describes the translation of the line M'R'.
Thus, the required transformation would be in the variable because the slope of parallel lines is always the same.
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Patty’s gymnastics class is 5
6
of an hour long. Patty practices five different skills and spends the same amount of time on each skill. How can you find how much time she spent on each skill?
Explain how to use an area model to solve the problem.
Answer:
possibly 11 hours on each which is embarrassing
true or false: as the level of confidence increases the number of item to be included in a sample will decrease when the error and the standard deviation are held constant.
The given statement "As the level of confidence increases the number of item to be included in a sample will decrease when the error and the standard deviation are held constant." is False because error increases.
As the level of confidence increases, the required sample size will increase when the error and standard deviation are held constant.
This is because as the level of confidence increases, the range of the confidence interval also increases, which requires a larger sample size to ensure that the estimate is precise enough to capture the true population parameter with the desired level of confidence.
For example, if we want to estimate the mean height of a population with a 95% confidence interval and a margin of error of 1 inch, we would need a larger sample size than if we were estimating the same mean height with a 90% confidence interval and the same margin of error.
The larger sample size ensures that the estimate is more precise and that we have a higher level of confidence that it captures the true population parameter.
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Tom went on a bike ride to the store 3 miles away. If it took Tom 12 of an hour to get there and 23 of an hour to get back, what was his average rate of speed (miles per hour) for the entire trip?
Answer: 0.1714 miles / hour
Step-by-step explanation:
Given the following :
Distance to the store = 3 miles
Time taken to get to store = 12 hours
Time taken to return = 23 hours
The average rate of speed for the trip =?
Average Speed = total distance traveled / total time taken
Total distance traveled = 2 × 3 miles = 6 miles
Total time taken = 12 + 23 = 35 hours
Average speed = 6 miles / 35 hours
Average speed = 0.1714 miles / hour
Answer:
0.1714 mph
5.14 mph
Step-by-step explanation:
A publisher wants to use a scale factor of 1.5 to enlarge a book. what will the area of the front of the book be after the book is enlarged? 54 in2 81 in2 121.5 in2 78.75 in2
The area of the front of the book be after the book is enlarged = 121.5 in²
The correct option is C.
What is 2 dimensional figure?A figure that totally resides in one plane is referred to as a plane figure or a two-dimensional figure. Two-dimensional figures are drawn when you sketch, whether by hand or with a computer program. Two-dimensional models of actual objects can be found in blueprints.
According to the given information:A book is 6 inches wide
A book is 9 inches tall.
scale factor of 1.5 to enlarge a book.
6 inches enlarged by 1.5 = 9 inches
9 inches enlarged by 1.5 = 13.5 inches
We know that area of rectangle :
area = length x wight
area = 9 × 13.5
= 121.5 square inches
The area of the front of the book be after the book is enlarged = 121.5 in²
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Given ƒ(x) = x + 10 and g(x) = x2 + 5x - 1, find ƒ(3) + g(5).
helpp meeeeeeeeeeeeee
Answer:
Step-by-step explanation:
Can someone help me with this, please?
Answer:
-2x = 4
Step-by-step explanation:
You have 2 negative x tiles on the left side, which is -2x.
You have 4 one tiles on the right side, which is 4.
Hope this helps!
A sporting goods store received a shipment of 500 baseball gloves. 200 were left handed. What is the ratio of right handed gloves to gloves?
WILL RECIEVE BRAINLIST
Answer:
300:500
Step-by-step explanation:
If there are 200 left handed gloves, then there are 300 right handed gloves.
The total amount of gloves is 500, so its 300:500.
question 3 in the analyze stage of the data life cycle, what might a data analyst do? select all that apply.
In the analyze stage of the data life cycle, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations
The data life cycle is defined as the time period that that data exist in you system. Usually the data management experts finds the six or more stages in the data life cycle
The data analyst is the person who use the interpreted data and analyze the data in order to solve the problems
The analyze stage is the one of the main stages of the data life cycle. In the stage data analyst will use the spreadsheet to aggregate the data in the system and use the formulas to perform the calculations in the system
Therefore, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations
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2/3(9x-6)=1/4(12-4x)
Answer:
x = 1
Step-by-step explanation:
\(\frac{2}{3}\) (9x - 6) = \(\frac{1}{4}\) (12 - 4x) ← distribute parenthesis on both sides
6x - 4 = 3 - x ( add x to both sides )
7x - 4 = 3 ( add 4 to both sides )
7x = 7 ( divide both sides by 7 )
x = 1
PLSSS HELP!! I need the answer m.
Given the plant transfer function \[ G(s)=1 /(s+2)^{2} \] If using a PD-controller, \( D_{c}(s)=K(s+7) \), what value of \( K>0 \) will move both original poles back onto the real axis resulting in a
The value of K that moves both original poles back onto the real axis is 0. By setting K to zero, we eliminate the quadratic term and obtain a single pole at \( s = -2 \), which lies on the real axis.
The value of K that moves both original poles back onto the real axis can be found by setting the characteristic equation equal to zero and solving for K.
The transfer function of the plant is given by \( G(s) = \frac{1}{(s+2)^2} \). To move the original poles, we introduce a PD-controller with transfer function \( D_c(s) = K(s+7) \), where K is a positive constant.
The overall transfer function, including the controller, is obtained by multiplying the plant transfer function and the controller transfer function: \( G_c(s) = G(s) \cdot D_c(s) \).
To find the new poles, we set the characteristic equation of the closed-loop system equal to zero, which means we set the denominator of the transfer function \( G_c(s) \) equal to zero.
\[
(s+2)^2 \cdot K(s+7) = 0
\]
Expanding and rearranging the equation, we get:
\[
K(s^2 + 9s + 14) + 4s + 28 = 0
\]
To move the poles back onto the real axis, we need to make the quadratic term \( s^2 \) zero. This can be achieved by setting the coefficient K equal to zero:
\[
K = 0
\]
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