The remaining zeros of each function are given as follows:
3. 4 + i.
4. 4i and 2 - square root of 5.
How to obtain the remaining zeros of the functions?For function 3, we must consider that when we have a complex root, it's conjugate is also a root of the function.
The complex root for this problem is given as follows:
4 - i.
For the conjugate, the real part remains constant, while the signal of the imaginary part is exchanged, hence the remaining root is given as follows:
4 + i.
The same is applied for one of the roots of function 4. Considering the complex root of -4i, the conjugate 4i is one of the remaining roots.
Additionally, as 2 + square root of 5 is a root, 2 - square root of 5 is another remaining root of the function.
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(I'm giving a lot of points on this I really need it )
A tourism company can sell up to 1200 travel packages for the Sugar Bowl college football postseason game in New Orleans. The package includes airfare, weekend accommodations, and the choice of two types of flights: a nonstop flight or a two-stop flight. The nonstop flight can carry up to 150 passengers, and the two-stop flight can carry up to 100 passengers. The agency can locate no more than 10 planes for the travel packages. Each package with a nonstop flight sells for $1,200, and each package with a two-stop flight sells for $900. Assume that each plane will carry the maximum number of passengers.
1. Define the variables for this situation
2. Write a system of linear equations to represent the constraints
3. Graph the system of linear equations below, and shade the feasible region that shows the area of the graph representing valid combinations of nonstop and two-stop flight packages
4. Write an objective function that maximizes the revenue for the tourism agency
5. Find the maximum revenue for the given constraints and give the combination of flights that achieve this maximum
Answer:
I have something you might like!
Here's the key ;)
Step-by-step explanation:
I would appreciate Brainliest! I hope I helped! :)
$15.30
Start!
The Martin Family went
out to dinner and spent
$85. They left an 18% tip.
How much did they pay
for dinner in total?
8
58
$85.18
I NEED HELP
Answer:
100.30
Step-by-step explanation:
15.3 + 85
4.
Plumber Paulina has been given the Expression 36p - 48, that represents the total distance of the piping
needed for her housing job. The simplified portion of what she has been given needs to be split into
twelve different lengths of equal sizes.
(a) Using the given Expression, create a
new one that will show you Distributing
Division this time for each of the twelve
lengths of piping.
the
(b) Plumber Paulina now needs to complete
Distributive Property using
Division to represent each specific
length of piping used throughout her job.
a. The new expression that is showing the distributive division for each of the 12 parts is 3p – 4
b. The equation of length of each 12 equal division of pipes using the distributive property of division is 3p – 4
Given: Expression 36p – 48 representing the total distance of piping.
To simplify for the portions the needs to divide the pipe into 12 equal halves.
What is the distributive Property of division?
The distributive property of division states that for a division if we divide the numerator or the dividend into smaller parts that are exactly divisible by the denominator or the divisor respectively, and then add all the quotients of the smaller divisions then the answer will be exactly same as dividing the larger number without breaking into smaller parts.
Let’s solve the given question:
The total distance of piping = 36p – 48
a. Now total distance of piping will have to be divided into 12 equal parts.
Let’s say the equation of the sizes of each part be x
Then the sum of all the 12 parts will be equal to 36p – 48
So x + x + …. 12 times = 36p – 48
=> 12x = 36p – 48
Dividing both sides by 12:
12x / 12 = (36p – 48) 12
x = 3p – 4
The new expression that is showing the distributive division for each of the 12 parts is 3p – 4
b. We have to use the Distributive property to show the division of piping for her job
Now the pipe of length 36p – 48 has to be divided into 12 equal parts
So length of each part is (36p – 48) / 12
We can write 36p – 48 as {(12p – 24) + (24p – 12)}
So (36p – 48) / 12 = {(12p – 24) + (24p – 12)} / 12
= (12p – 24) / 12 + (24p – 24) / 12
= 12p / 12 – 24 / 12 + 24p / 12 – 24 / 12
= p – 2 + 2p – 2
= 3p – 4
So the equation of length of each 12 equal division of pipes is 3p – 4
Hence
a. The new expression that is showing the distributive division for each of the 12 parts is 3p – 4
b. The equation of length of each 12 equal division of pipes using the distributive property of division is 3p – 4
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In the Michigan lottery game, LOTTO 47, the state selects six balls randomly out of 47 numbered balls. The player selects six different numbers out of the first 47 positive integers. Prizes are given for matching all six numbers in any order (the jackpot) and matching five numbers ($2500). A ticket costs $1.00 and this dollar is not returned to the player. Find the probabilities of matching
The probability of matching six numbers is \(\frac{1}{47C_{6}}\).
How to find the probability of matching six numbers?To find the probability, we have to divide the favorable events by the total number of events.
The total number of events is given by:
\(47C_{6}\)
We use combinations since the order doesn't matter.
The total number of favorable events is given by:
\(6C_{6}\)
The probability is given by:
\(\frac{\text{Favorable events}}{\text{Total events}}=\frac{6C_{6}}{47C_{6}} \\= \frac{1}{47C_{6}}\)
We have found the probability of matching all six balls to be \(\frac{1}{47C_{6}}\).
Therefore, we have found that the probability of matching six numbers is \(\frac{1}{47C_{6}}\).
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Disclaimer: The question was incomplete, the complete question is attached below.
Question: In the Michigan lottery game, LOTTO 47, the state selects six balls randomly out of 47 numbered balls. The player selects six different numbers out of the first 47 positive integers. Prizes are given for matching all six numbers in any order (the jackpot) and matching five numbers ($2500). A ticket costs $1.00 and this dollar is not returned to the player. Find the probability of matching six numbers.
come get a prize brainlest
Answer: 70 - 79
hope this helps! :)
Suppose Huston deposit $600 into a savings account with a simple interest rate of 2.5%. How many years would he have to keep his money in the bank in order to earn at least $120 in interest?
Answer:
At least 8 yearsStep-by-step explanation:
Deposit = $600
Interest rate = 2.5% simple
Time = x years
Target interest amount ≥ $120
600*0.025*x ≥ 12015x ≥ 120x ≥ 120/15x ≥ 8 yearsAt least 8 years
(b) Evan also has a bag of apples that weighs 3.545 pounds. The value of the digit 5 in the tenths place of 3.545 is how many times the value of the digit 5 in the thousandths place? Explain.
The value of the digit 5 in the tenths place of 3.545 is 100 times the value of the digit 5 in the thousandths place.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We have:
Evan has a bag of apples that weighs 3.545 pounds.
The value of the digit 5 in the tenths place of 3.545 is 0.500
The value of the digit 5 in the thousandths place of 3.545 is 0.005
Take the ratio of both values:
tenths place value/thousandths place value = 0.500/0.005
tenths place value/thousandths place value = 100
tenths place value = 100(thousandths place value)
Thus, the value of the digit 5 in the tenths place of 3.545 is 100 times the value of the digit 5 in the thousandths place.
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Carter earned $86 at his job when he worked for 8hours. Fill out the table of equivalent ratios and plot the point on the coordinate axes provided
The table is
Dollars Hours
43 4
86 8
215 20
From the question, we have
86/2 =43$
8/2=4 hours
86*2.5=215$
8*2.5=20 hours
Equivalent Ratios:
When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, the ratios 1:2 and 2:4 are equivalent.
To put it another way, two ratios are said to be equivalent if one of them can be written as the multiple of the other. Therefore, we must multiply the two values (antecedent and consequent) by the same number in order to obtain the equivalent ratio of another ratio. This approach is comparable to the approach for determining equivalent fractions.
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select the slope of the line that joins the pair of points. a. (9, 10) and (7, 2) 1 of 5. 4 b. (-8, -11) and (-1, -5) 2 of 5. select choice c. (5, -6) and (2, 3) 3 of 5. select choice d. (6, 3) and (5, -1) 4 of 5. select choice e. (4, 7) and (6, 2) 5 of 5. select choice
The required slopes are:
(a) slope = 4
(b) slope = 6/7
(c) slope = -3
(d) slope = 4
(e) slope = -5/2
We know that,
When a line passing through (x₁, y₁) and (x₂, y₂)
Then the slope of the line be,
slope (m) = (y₂ - y₁) / (x₂ - x₁)
Using this formula, calculate the slope for each given points
a. (9, 10) and (7, 2)
⇒ slope (m) = (2 - 10) / (7 - 9)
= -8/-2 = 4
So, the slope is 4.
b. (-8, -11) and (-1, -5)
⇒ slope (m) = (-5 - (-11)) / (-1 - (-8))
= 6/7
So, the slope is 6/7.
c. (5, -6) and (2, 3)
⇒ slope (m) = (3 - (-6)) / (2 - 5)
= 9/-3
= -3
So, the slope is -3.
d. (6, 3) and (5, -1)
⇒ slope (m) = (-1 - 3) / (5 - 6)
= -4/-1
= 4
So, the slope is 4.
e. (4, 7) and (6, 2)
⇒ slope (m) = (2 - 7) / (6 - 4)
= -5/2
So, the slope is -5/2.
Therefore, the slope of the line that joins (-8, -11) and (-1, -5) is 6/7.
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What is the normal to the plane -5x – 4y + 2z = 3? Enter your answer in the form [a,b,c]
The normal to the plane -5x - 4y + 2z = 3 is [-5,-4,2].
Explanation: The equation of the plane is given by -5x - 4y + 2z = 3.
Therefore, the coefficients of the plane are -5, -4, and 2. The normal vector to the plane is the vector with the coefficients of x, y, and z in the equation of the plane.
So, the normal vector to the plane is [a, b, c]. The coefficients of x, y, and z in the equation of the plane are -5, -4, and 2.
Therefore, the normal vector to the plane is [-5,-4,2]. Thus, the normal to the plane -5x – 4y + 2z = 3 is [-5,-4,2].
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1. So far, Marta has correctly predicted the winner of 6 out of 13 football games. She wants to know how many consecutive games she would have to predict correctly to raise the percent of correct predictions to 65%. (a) Write an equation to represent this situation. (3 points) (b) Solve the equation. Show all steps. (5 points) (c) Answer the question. How many consecutive games must she predict correctly to raise her percent to 65%? (1 point)
Answer:
[(6 + x) / 13+x] = 0.65
7
Step-by-step explanation:
Given that:
Total number of games = 13
Number of correct prediction = 6
Number of correct predictions needed to raise prediction % to 65%
(Number of correct predictions) / (total number of games) = 0.65
Let x = number of additional consecutive correct predictions
[(6 + x) / 13+x] = 0.65
Where x = number of consecutive predictions required
6 + x = (13 + x) * 0.65
6 + x = 8.45 + 0.65x
x - 0.65x = 8.45 - 6
0.35x = 2.45
x = 2.45 / 0.35
x = 7
7 consecutive correct predictions
A school is selling tickets to their Spring theater production Student tickets cost $6 each and non-student tickets cost $9 each There are a total of 250 seats available in the auditorium where the production will be held, and there are two different show times that people can choose to attend. The school is hoping to sell enough tickets to raise at least $2,700 for the theater department Let s represent the number of student tickets sold and let n represent the number of non-student tickets sold. Which points on the graph would lie within the solution region for the system of inequalities modeled by this situation?
Answer:
4x+3150-6x=2876
-2x=-274
x=137
y=525-137
y=388
Hence, about 137 childern tickets were sold and 388 gernal admission tickets were sold.
Paul.
The solution of the given situation is that about 137 childern tickets were sold and 388 admission tickets were sold.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that school is selling tickets to their Spring theater production Student tickets cost $6 each and non-student tickets cost $9 each There are a total of 250 seats available in the auditorium.
Let s represent the number of student tickets sold and let n represent the number of non-student tickets sold then the equation is;
4x+3150-6x=2876
-2x=-274
x=137
Now,
y=525-137
y=388
Hence, about 137 childern tickets were sold and 388 admission tickets were sold.
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If a trip to Andover is 866 miles, and your car avg miles per gallon is 13.6. With the average cost of gas being 4$, how much would it cost?
Answer:
\(254 \frac{12}{17}\) or approximately 254.71
Step-by-step explanation:
First, you need to find out how many gallons it will take to travel 866 miles. Because the car's avg miles/gallon is 13.6, you divide 866 by 13.6. However, this gets you an irrational number. To avoid this, make 13.6 into a fraction. Now divide 866 by \(13 \frac{3}{5}\). This becomes 866 ÷ \(\frac{68}{5}\). Convert this into a multiplication problem by converting \(\frac{68}{5}\) into its reciprocal. This gets you 866 × \(\frac{5}{68}\). This gets you \(\frac{2165}{34}\). Now that you have the amount of gallons it will take to get to your destination, multiply it by 4. \(\frac{2165}{34}\) × \(4\)\(= \frac{4330}{17}\). This becomes \(254 \frac{12}{17}\) or approximately 254.71.
A rectangular plut of land adjacent to a river is to be fenced. The cost of the fence. that faces the river is $9 per foot. The cost of the fence for the other sides is $6 per foot. If you have $1,458 how long should the side facing the river be so that the fenced area is maximum? (Round the answer to 2 decimal places, do NOT write the Units) CRUJET
The cost for the river-facing side is $9 per foot, while the cost for the other sides is $6 per foot. With a total budget of $1,458, we want to find the length of the river-facing side that will result in the maximum area.
To maximize the fenced area, we need to determine the length of the side facing the river that will give us the maximum area within the given budget. Let's denote the length of the river-facing side as x. The cost of the river-facing side will then be 9x, and the cost of the other sides will be 6(2x) = 12x. The total cost of the fence will be 9x + 12x = 21x.
Since we have a budget of $1,458, we can set up the equation:
21x = 1,458
Solving for x, we find x = 1,458 / 21 ≈ 69.43.
Therefore, the length of the side facing the river should be approximately 69.43 feet in order to maximize the fenced area within the given budget.
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You are helping your friend with his math homework. He made an order of operations mistake. Which part did he do in the wrong order
Simplify negative 3 and 4 over 5 minus 5 and 2 over 3.
negative 9 and 7 over 15
negative 8 and 2 over 3
2 and 2 over 15
21 and 8 over 15
The correct option is negative 9 and 7 over 15 for the given number negative 3 and 4 over 5 minus 5 and 2 over 3.
What is defined as the mixed fraction?A mixed fraction is an a kind of fraction that has both a whole number and a fractional part.
An improper fraction is one that cannot be simplified further because the numerator is greater or equal to the denominator.
To make this erroneous fraction into a mixed fraction
Step 1: Divide a denominator by the numerator.Step 2: Determine the remainder.Step 3: Arrange this same numbers as follows: quotient followed by remainder/divisor fraction.For, the given question;
The given expression is;
negative 3 and 4 over 5 minus 5 and 2 over 3 can be written as;
-3 4/5 - 5 2/3
On solving;
= - [3×5 + 4]/5 - [5×3 + 2]/3
= - 19/5 - 17/3
= - 142/15
Which can be written as; - 9 7/15
This, can be described as negative 9 and 7 over 15.
Thus, negative 9 and 7 over 15 is the correct solution for the expression.
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A poker hand, consisting of 5 cards, is dealt from a standard deck of 52 cards. Find the probability that the hand contains an ace, king, queen, jack, and 10 of the same suit (royal flush).
The probability of being dealt a royal flush in poker is 4 / C(52, 5).
The probability of being dealt a royal flush in poker can be calculated by considering the number of ways to obtain a royal flush and dividing it by the total number of possible poker hands.
1. Determine the number of ways to obtain a royal flush: A royal flush consists of the ace, king, queen, jack, and 10 of the same suit. There are 4 suits in a standard deck, so there are 4 possible royal flushes, one for each suit.
2. Calculate the total number of possible poker hands: To do this, we need to consider the number of ways to choose 5 cards from a deck of 52 cards. This can be calculated using the combination formula: C(52, 5) = 52! / (5! * (52 - 5)!), where "!" denotes factorial.
3. Divide the number of ways to obtain a royal flush by the total number of possible poker hands to get the probability: P(royal flush) = Number of ways to obtain a royal flush / Total number of possible poker hands.
Thus, the probability of being dealt a royal flush in poker is 4 / C(52, 5).
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Consider the predicate "enrol_mark >= 50", what row(s) will be selected for this predicate by the dbms?
The rows selected for the predicate "enrol_mark >= 50" by the DBMS will include all rows where the value of the column "enrol_mark" is greater than or equal to 50.
In a DBMS (Database Management System), a predicate is a condition or criteria used to filter and select specific rows from a database table. In this case, the predicate "enrol_mark >= 50" indicates that we are interested in selecting rows where the value of the "enrol_mark" column is greater than or equal to 50.
When the DBMS evaluates this predicate, it will scan the table and compare the value of the "enrol_mark" column for each row. If the value is greater than or equal to 50, the row will be selected and included in the result set. Rows with "enrol_mark" values less than 50 will not be included in the result set.
It's important to note that the actual rows selected by the DBMS will depend on the specific data in the table. If there are rows where the "enrol_mark" column has values greater than or equal to 50, those rows will be selected. If there are no such rows, then the result set will be empty.
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If y varies directly as x, and y=6 when x=10, find x when y=18
Solve the equation x^2 = 10.
Answer: \(\sqrt{10\\\)
Step-by-step explanation:
To solve for x you would have to take the square root of both side.
Answer:
x = about 3.16Step-by-step explanation:
In algebra, the goal is to isolate the variable, so its value can be determined.
x^2 = 10
square root both sides
x = \(\sqrt{10}\) or about 3.16
1. the sum of five times a number and -2, added to seven times the number
2. six times the difference of a number and five is greater than twenty-two
helppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
mx+b
Step-by-step explanation:
did the test
negative 10 over 2, negative 13.4, square root 18, 22.7 repeating 7 hitch does not belong
Answer:
-10/2 -13.4 18(18) 22.7
Step-by-step explanation:
Tuan made a histogram to represent the distances students in his homeroom live from the school.
Which statement is true?
A.
The data distribution is symmetric.
B.
The data distribution is skewed to the left.
C.
The data distribution is skewed to the right.
D.
The data distribution is both symmetric and skewed.
Answer:
C: The data distribution is skewed to the right.
Step-by-step explanation:
Took the test on Edmentum and got it right.
Moving Average leads a trend.
True
False
Mean Squared Error can be used to compare alterative forecasting
methods.
True
False
Delphi method
Moving Average leads a trend, True. Mean Squared Error cannot be used to compare alternative forecasting methods, False. Delphi method uses multiple rounds for determining estimates, True.
True. Moving Average is a commonly used time series forecasting technique that calculates the average of a specified number of past data points to predict future values. It is known as a lagging indicator because it uses historical data to forecast trends. By smoothing out fluctuations in the data, moving averages provide a clearer picture of the underlying trend. Therefore, it can be said that moving averages lead a trend.
False. Mean Squared Error (MSE) is a measure used to assess the accuracy of a forecasting model by comparing its predicted values to the actual values. It calculates the average of the squared differences between the predicted and actual values. While MSE is a useful metric for evaluating the performance of a single forecasting method, it cannot be directly used to compare alternative forecasting methods.
This is because MSE values are scale-dependent, meaning they can vary depending on the units of measurement. In order to compare alternative methods, it is recommended to use other metrics like Mean Absolute Error (MAE) or forecasting accuracy measures such as Mean Absolute Percentage Error (MAPE).
True. The Delphi method is a forecasting technique that involves multiple rounds of gathering expert opinions to reach a consensus or determine estimates. In each round, a panel of experts provides their individual forecasts or opinions on a particular topic. These responses are collected, summarized, and fed back to the experts for further consideration. This process continues for several rounds until a convergence or consensus is reached.
The Delphi method is designed to harness the collective intelligence and expertise of a diverse group of experts while minimizing the influence of dominant individuals or group dynamics. The iterative nature of the Delphi method allows for refining and revising estimates based on feedback, resulting in a more reliable and accurate forecast.
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The complete question is:
Moving Average leads a trend. True/False
Mean Squared Error can be used to compare alterative forecasting methods. True/False
Delphi method uses multiple rounds for determining estimates. True/False.
Write a negative function h(x) with a y-intercept at "-4" with one solution
The required negative function h(x) with a y-intercept at "-4" with one solution is x + 4
Intercept of the equationThe y-intercept of an equation is the pint where the x-value of the function is 0, that is;
f(-4) = 0
Since the solution has one solution, hence it will be linear in nature
h(x) = x + 4
This gives the required negative function h(x) with a y-intercept at "-4" with one solution
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Find the value of y Log^2 32=y
Answer:
Step-by-step explanation:
First of all, I have a strong feeling that that is supposed to be
\(log_2(32)=y\) so I'm going to go with that. We can solve for y by rewriting that in exponential form. Exponential form and log form are inverses of each other. If the log form of an equation is
\(log_b(x)=y\), the exponential form of it is
\(b^y=x\). We will apply that here to solve for y:
\(2^y=32\)
which is asking us, "2 to the power of what equals 32?". We can use our calculator to raise 2 to consecutive powers til we reach the one that gives us a 32, or we could solve it by writing the 32 in terms of a 2:
\(2^y=2^5\)
Since both bases are the same, 2, then the exponents are equal to one another. y = 5. This is an important rule to remember while solving either log or exponential equations.
What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?
–4
8
12
24
Answer:
8
Step-by-step explanation:
0 = –x^2 + 4x – 2
This is of the form
ax^2 +bx +c
a = -1 b = 4 x = -2
The discriminant is
b^2 -4ac
4^2 - 4(-1)(-2)
16 - 8
8
what is the value of X in the equation 1/2 X - 3/4 =3/8 - 5/8 X
Answer:
X =1
Step-by-step explanation:
Answer:
x=1
Step-by-step explanation:
1/2x-3/4=3/8-5/8x
l.c.m=8
multiply both sides by l.c.m(8)
x/2×8-3/4×8=3/8×8-5x/8×8
4x-6=3-5x
4x+5x=3+6
9x=9
divide both sides by 9
9x/9=9/9
x=1
Amy wants to make 20 cupcakes. She knows 3 cups sugar makes 2 cupcakes. How many cups of sugar will she need
Answer:
30
Step-by-step explanation:
(20/2)x3