Answers
Using linear negative association, According to the all four parts correct options are D ;A ;D ;D respectively
What is linear negative association?The slope of a line expresses a great deal about the linear relationship between two variables. If the slope is negative, there is a negative linear relationship, which means that as one variable increases, the other variable decreases. If the slope is zero, one increases while the other remains constant.
The first answer to the question is option D
The second answer to the question must be option A
Option D must be chosen for the third question.
Option D must be selected for Question 4.
Solution:
1.
square of 3 is 9
3 to the power of negative 2 is 1/ 9
cube of 3 is 27
3 to the negative power 3 is 1/27
2.
cylinder volume =πr²h
Given value
pi =3.14
r=5
h=10
Volume=3.14×5²×10
cylinder volume =785m³
3.
When a point is rotated 90 degrees anticlockwise about the origin, it becomes the point (x,y) (-y,x).
The coordinates of Point N are (4, 3)
N' will be the new coordinates (-3, 4)
As a result, the y-coordinate of N' is 4.
4.
Option D must be selected for Question 4.
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Related Questions
find the coordinates of point p that is 3/4 of the way along the directed line segment from c(6,-5) to d(-3,4)
Answers
The coordinates of point P that is 3/4 of the way along the directed line segment from C(6, -5) to D(-3, 4) are (-0.75, 1.75).
To find the coordinates of point P that is 3/4 of the way along the directed line segment from C(6, -5) to D(-3, 4), we can use the following formula:
P = (1 - 3/4)C + (3/4)D
First, we find the vector CD = D - C:
CD = (-3, 4) - (6, -5) = (-9, 9)
Then we can plug in the values and simplify:
P = (1 - 3/4)C + (3/4)D
P = (1/4)(6, -5) + (3/4)(-3, 4)
P = (3/4)(-3, 4) + (1/4)(6, -5)
P = (-2.25, 3) + (1.5, -1.25)
P = (-0.75, 1.75)
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A company reported the following:
$275,270
Preferred dividends
$20,390
Shares of common stock outstanding
36,000
Market price per share of common stock
$118.87
Calculate the company's price-earnings ratio. Round your answer to two decimal places.
Net income
Answers
The company's price-earnings ratio for a company that reported net income of $275,270 with $20,390 for preferred dividends and 36,000 shares of common stock, is 16.79.
What is the price-earnings ratio?The price-earnings ratio represents the per-dollar amount that an investor can expect to invest in a company in order to receive $1 of that company's net earnings.
The price-earnings (P/E) ratio is also referred to as the price multiple.
The price-earnings (P/E) ratio compares the market price with the earnings per share.
Net income = $275,270
Preferred Dividends = $20,390
Net income available to Common Stockholders = $254,880 ($275,270 - $20,390)
Number of common stock outstanding = 36,000 shares
Market price per share of common stock = $118.87
Earnings per share (Common Stock) = $7.08 ($254,880/36,000)
Price-earnings ratio = Market price per share/Earnings per share
= 16.79 ($118.87/$7.08).
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in one of his experiments conducted with animals, thorndike found that cats learned to escape from a puzzle box:
Answers
In one of his experiments conducted with animals, Thorndike found that cats learned to escape from a puzzle box is increased gradually
To quantify the learning process, Thorndike used a mathematical formula known as the Law of Effect equation. The equation is:
B = f(log S1/S2)
where B represents the strength of the behavior, S1 represents the satisfaction of the positive consequence, and S2 represents the degree of frustration or negative consequence.
In the context of Thorndike's puzzle box experiment, the Law of Effect equation can be used to describe how the cat's behavior changed over time as it learned to escape the puzzle box more quickly and efficiently. Initially, the cat's behavior was weak because it did not know which actions would lead to a positive outcome.
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Which of the following numbers is the reciprocal of 0.4?
F.
4
G. -0.4
H. 10.4
J. 2.5
K. 5.2
Answers
Answer:
J. 2.5
Step-by-step explanation:
A reciprocal is the inverse of a number. The reciprocal of a number is 1 divided by the number.
With a decimal number, it's best to convert the number into fraction form. In fraction form, you just have to switch the numerator and denominator to find the reciprocal.
0.4 = 4/10 = 2/5
Reverse the numerator and denominator to get 5/2.
Convert 5/2 to a decimal:
5/2 = 2.5
Will tracks the high and low tempters in his town for five days during a cold spell in January his results are shown in the table below
Answers
Days when change in temperature more than 10° F are Option B)Tuesday and E) Friday.
Define change in temperaturecalculating the difference by deducting the end temperature from the initial temperature. The temperature difference is therefore 75 degrees Celsius - 50 degrees Celsius = 25 if something begins at 50 degrees Celsius and ends at 75 degrees Celsius.
Change in temperature on Monday from High to low
=15-10=5°F
Change in temperature on Tuesday from High to low
=8-(-4)=12°F
Change in temperature on Wednesday from High to low
=-2-(-5)=3°F
Change in temperature on Thursday from High to low
=-3-(-7)=4°F
Change in temperature on Friday from High to low
=-1-(-12)=11° F
Days when change in temperature more than 10° F are Tuesday and Friday.
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The Complete question is attached below:
A large drug company must determine how many sales representatives to assign to each of four sales districts. The cost of having ???? (???? > 0) representatives in a district is 88,000 + 80,000???? dollars per year, and you only pay 88,000 fixed cost if there is at least one sales representative at that district. If a sales rep is based in a given district, the time it takes to complete a call on a doctor (i.e., the sales rep travels to the doctor’s office) in each of the actual sales call district is given in the following table, where times are in hours: Actual Sales Call District Rep’s Base District 1 2 3 4 1 1 4 5 7 2 4 1 3 5 3 5 3 1 2 4 7 5 2 1 Each sales rep can work up to 160 hours per month. Each month a certain number of calls, given in the following table, must be made in each district (i.e., this is the total number of calls to be completed by all of the sales reps). Number of calls District 1 50 District 2 80 District 3 100 District 4 60 A fractional number of representatives in a district is not permissible. Determine how many representatives should be assigned to each district.
Answers
Answer:
Dont understand. Repeat question?
Step-by-step explanation:
13) Raymond and Kevin want to purchase a house. They offer $235,000 with 30% down payment. They are pre-qualified for a 30-year loan at 3.8%. Calculate their anticipated monthly payments.
Answers
Answer:
Step-by-step explanation:
The down payment is 30% of $235,000, which is $70,500. This means they are financing the remaining amount of $164,500.
Using the loan amount, interest rate, and loan term, we can calculate the monthly payment using the formula for a fixed-rate mortgage:
M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1]
where:
M = monthly payment
P = loan amount
i = monthly interest rate (annual rate divided by 12)
n = total number of payments (loan term in years multiplied by 12)
Plugging in the numbers, we get:
M = 164500 [ 0.038/12 (1 + 0.038/12)^360 ] / [ (1 + 0.038/12)^360 – 1]
Simplifying this expression, we get:
M = $765.84
Therefore, their anticipated monthly payments would be $765.84.
A teacher has a large yellow bulletin board in her classroom. She decides to use purple paper to frame a smaller rectangle inside the original board. The paper will create a border that is x inches wide. The teacher's bulletin board plan and dimensions are shown below.
Look at the picture then choose the answer from the options below:
Select the true statement about the expression.
A.
The factor (96 − 2x) represents the length, in inches, of the uncovered portion of the bulletin board.
B.
The term 4x2 represents the area, in square inches, of the entire bulletin board.
C.
The factor (48 − 2x) represents the height, in inches, of the bulletin board including the decorative border.
D.
The term -288x represents the area, in square inches, of the decorative border.
Answers
Option A: The factor (96 − 2x) represents the length, in inches, of the uncovered portion of the bulletin board.
How to obtain the area of a rectangle?To obtain the area of a rectangle, you need to multiply the dimensions of the rectangle, which are the length and the width.
Hence the formula for the area of the rectangle is given as follows:
Area = Length x Width.
The area of the uncovered region is given by the total area subtracted by the area of the covered region.
Then the dimensions for the uncovered region are given as follows:
96 - 2x.48 - 2x.The area of the covered region is given as follows:
4x².
The area of the entire region is given as follows:
4x² - 288x + 4608.
Hence the correct statement is given by option A.
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Let $a \equiv 1 \pmod{4}$. Find the value of $6a + 5 \pmod{4}$Express your answer as a residue between 0 and the modulus.
Answers
The value of [tex]$6a + 5 \pmod{4}$[/tex] is given by 3 or -1 (mod4) using the proper expression.
In mathematics, modular arithmetic is a method of integer arithmetic in which numbers "wrap around" after they reach a predetermined value known as the modulus. Carl Friedrich Gauss created the contemporary method to modular arithmetic in his 1801 work Disquisitiones Arithmeticae.
We have [tex]$a \equiv 1 \pmod{4}$[/tex]
to find the value of [tex]$6a + 5 \pmod{4}$[/tex]
putting the value of a≡1
6a + 5 (mod 4)
=(6*1 + 5) (mod 4)
=11 (mod4)
11/4=2R3 or 3R-1
= 3 or -1 (mod4)
A congruence relation is an equivalence relation that is consistent with addition, subtraction, and multiplication. Congruence modulo n is one such connection.
[tex]{\displaystyle a\equiv b{\pmod {n}}.}[/tex]
Display Style: A Equivalent B Modified N.
Because of the parenthesis, the full equation—rather than just the right-hand side—is covered by the (mod n) formula (here, b). This notation should not be confused with the modulo operation's notation, b mod n (without parenthesis).
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What is tangent and how do you calculate it from the unit circle?
Answers
Answer:
The unit circle has many different angles that each have a corresponding point on the circle. The coordinates of each point give us a way to find the tangent of each angle. The tangent of an angle is equal to the y-coordinate divided by the x-coordinate.
Joann had a vegetable stand where she sold tomatoes. She sold 15 tomatoes the first day. The second day she sold half of what was left. On the third day she sold 12 and sold half of what was left on the fourth day. On the fifth day there were 4 tomatoes left to be sold. How many tomatoes did she have to begin with?
Answers
On the fifth day there were 4 tοmatοes left tο be sοld. Jοann had 71 tοmatοes tο begin with.
What is prοbability?Prοbability is a measure οf the likelihοοd οr chance οf an event οccurring. It is a number between 0 and 1, where 0 indicates that the event is impοssible, and 1 indicates that the event is certain tο οccur.
Let's wοrk backwards frοm the last day and figure οut hοw many tοmatοes Jοann had οn the fοurth day.
On the fifth day, there were 4 tοmatοes left tο be sοld, which means she sοld half οf what was left οn the fοurth day. Sο she must have started with 8 tοmatοes οn the fοurth day (since half οf 8 is 4).
On the fοurth day, she sοld half οf what was left, which means she had 16 tοmatοes befοre she sοld any.
On the third day, she sοld 12 tοmatοes, which means she had 28 tοmatοes befοre she sοld any.
On the secοnd day, she sοld half οf what was left, which means she had 56 tοmatοes befοre she sοld any.
Finally, οn the first day, she sοld 15 tοmatοes.
Therefοre, Jοann had 71 tοmatοes tο begin with.
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A parabola opening up or down has vertex (0, -3) and passes through (-8, 5). Write its
equation in vertex form.
Answers
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{cases} h=0\\ k=-3\\ \end{cases}\implies y=a(~~x-0~~)^2 + (-3)\hspace{4em}\textit{we also know that} \begin{cases} x=-8\\ y=5 \end{cases} \\\\\\ 5=a(-8-0)^2-3\implies 8=64a\implies \cfrac{8}{64}=a\implies \cfrac{1}{8}=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\Large \begin{array}{llll} y=\cfrac{1}{8}x^2-3 \end{array}} ~\hfill[/tex]
Question 7
On June 22, 1947, in Holt, Missouri, 12 inches of rain fell in just 42 minutes. What was the average
rainfall per minute rounded to the nearest hundredth of an inch?
A
1 p
Question 8
1 pts
Answers
The average rainfall per minute is 0.29 inches.
What is Average?
The average of a set, also called the mean, is a measure of central tendency that represents the typical value of the set. It is found by adding up all the values in the set and then dividing by the total number of values in the set.
To find the average rainfall per minute, we need to divide the total rainfall by the number of minutes:
Average rainfall per minute = Total rainfall / Number of minutes
In this case, the total rainfall is 12 inches and the number of minutes is 42, so:
Average rainfall per minute = 12 / 42
Using a calculator or performing the division manually, we get:
Average rainfall per minute = 0.2857142857
Rounding this to the nearest hundredth of an inch, we get:
Average rainfall per minute ≈ 0.29 inches
Therefore, the average rainfall per minute during that 42-minute period was approximately 0.29 inches.
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a plumber can do a job in 5 hours, and his apprentice can do the same job in 8 hours. What part of the job is left if they start the job and work together for 2 hours.
Answers
Suppose the time it takes Jack to eat an apple is uniformly distributed between 5 and 11 minutes.
Let X = the time, in minutes, it takes Jack to eat an apple. Round answers to at least 4 decimal places.
a. What is the probability that it takes Jack more than 12 minutes to finish the next apple?
b. Enter an integer or decimal number [more.Js Jack less than 5.8 minutes to finish the next apple?
c. What is the probability that it takes Jack between 5.3 minutes and 6.5 minutes to finish the
next apple?
d. What is the probability that it takes Jack fewer than 5.3 minutes or more than 6.5 minutes to
finish the next apple?
Answers
The probability that it takes Jack between 5.3 minutes and 6.5 minutes to finish the next apple is 0.24.
What is the probability?a. Since Jack takes between 5 and 11 minutes to finish an apple, there is no way he can take more than 11 minutes to finish one. The probability that it takes Jack more than 12 minutes to finish the next apple is 0.
b. To find the probability that Jack takes less than 5.8 minutes to finish the next apple, we need to calculate the probability of X being less than or equal to 5.8.
Since X is uniformly distributed between 5 and 11, we can find this probability by calculating the proportion of the interval [5, 11] that is less than or equal to 5.8:
[tex]P(X < = 5.8) = (5.8 - 5) / (11 - 5) = 0.8[/tex]
the probability that Jack takes less than 5.8 minutes to finish the next apple is [tex]0.8[/tex] .
c. To find the probability that it takes Jack between 5.3 minutes and 6.5 minutes to finish the next apple, we need to calculate the proportion of the interval [5, 11] that falls within this range:
[tex]P(5.3 < = X < = 6.5) = (6.5 - 5.3) / (11 - 5) = 0.24[/tex]
d. To find the probability that it takes Jack fewer than 5.3 minutes or more than 6.5 minutes to finish the next apple. we can find the probability of the complement event, which is the probability that Jack takes between 5.3 minutes and 6.5 minutes to finish the apple:
[tex]P(X < 5.3 or X > 6.5) = 1 - P(5.3 < = X < = 6.5) = 1 - 0.24 = 0.76[/tex]
Therefore, the probability that it takes Jack fewer than 5.3 minutes or more than 6.5 minutes to finish the next apple is [tex]0.76[/tex] .
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Kingsley knows that 1inch is about 2.45 centimeters. He wants to write an equation he can use to convert any given length in inches (i) to centimeters (c)
How should Kingsley write his equation?
A.) c/i = 2.54
B.) c = 2.54i
C.) i = c/2.54
Answers
Since Kingsley wanted an equation to convert from inches to centimeters, the correct answer is B) c = 2.54i.
What is equation ?
An equation is a statement that asserts the equality of two expressions, usually separated by an equals sign (=). The expressions on either side of the equals sign may contain one or more variables, which are unknown values that can be determined by solving the equation.
Kingsley wants to convert a given length in inches to centimeters. He knows that 1 inch is about 2.45 centimeters.
Let's call the length in inches "i" and the length in centimeters "c".
We want to find an equation that relates i and c. We know that 1 inch is about 2.45 centimeters, so we can write:
1 inch = 2.45 centimeters
To convert from inches to centimeters, we can multiply the length in inches by 2.45. So:
c = 2.45i
This is the equation Kingsley can use to convert any given length in inches to centimeters.
Alternatively, we can rearrange this equation to solve for i:
c = 2.45i
Divide both sides by 2.45:
c/2.45 = i
So the equation for converting from centimeters to inches is:
i = c/2.45
Therefore, since Kingsley wanted an equation to convert from inches to centimeters, the correct answer is B) c = 2.54i.
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put the following steps in order to produce the algorithm for multiplying two n-bit (binary) integers a
Answers
Steps in order to produce the algorithm is multiplies two n-bit binary integers a and b using only bitwise operations (shift and AND) and addition.
Set the product P to 0.
Repeat n times we get,
If the least significant bit of a is 1, add the value of b to P.
Shift b one bit to the left.
Shift a one bit to the right.
The final value of P is the product of a and b.
This algorithm is known as the binary multiplication algorithm
And it multiplies two n-bit binary integers a and b using only bitwise operations (shift and AND) and addition.
The algorithm works by iteratively adding shifted copies of b to the product P.
Depending on whether the corresponding bit in a is 1 or 0.
At the end of the iteration, P contains the product of a and b.
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Find the following answers:
Answers
Answer:
Step-by-step explanation:
[tex]\{A\cup B \}=\{1,2,3,7,10,11,12,14,16,17,18,19 \}\\\\\{A \cap B \}=\{ 1,7,10,14\}[/tex]
A∪B: Any element which is in either or both sets.
A∩B: Only elements that are in both A and B.
A large equilateral triangle pyramid stands in front of the city's cultural center. Each side of the base measures 40 feet and the slant height of each lateral side of the pyramid is 50 feet.
A painter can paint 100 square feet of the pyramid in 18 minutes.
How long does it take the painter to paint 75% of the pyramid?
Answers
Answer:
A large equilateral triangle pyramid stands in front of the city's cultural center. Each side of the base measures 40 feet and the slant height of each lateral side of the pyramid is 50 feet.
A painter can paint 100 square feet of the pyramid in 18 minutes.
How long does it take the painter to paint 75% of the pyramid?
Step-by-step explanation:
The total surface area of the pyramid can be calculated using the formula for the lateral surface area of a pyramid:
Lateral surface area = (1/2) × perimeter of base × slant height
Since the base is an equilateral triangle, the perimeter is 3 times the length of one side:
Perimeter of base = 3 × 40 feet = 120 feet
Lateral surface area = (1/2) × 120 feet × 50 feet = 3000 square feet
To paint 75% of the pyramid, the painter needs to paint:
0.75 × 3000 square feet = 2250 square feet
Since the painter can paint 100 square feet in 18 minutes, the time required to paint 2250 square feet can be calculated as:
2250 square feet ÷ 100 square feet per 18 minutes = 225 ÷ 10 × 18 minutes = 405 minutes
Therefore, the painter would need 405 minutes or 6 hours and 45 minutes to paint 75% of the pyramid.
Which graph represents the function on the interval [-3,3]?
f(x)=[x]-4
Answers
Answer:
in this problem, it wants us to graph this piecewise function and then determine which answer choice matches. And I'm not sure if you gave me all the answer choices, but let's go ahead and try and graph this. So first we have a vertical line at negative three from negative 22 negative one. So here is -2. It's going to be open circled at negative two, two, which is going to have a closed circle since it's less than or equal to. And it would just connect right in there. Then we would have an open circle at negative one at negative two And then closed at zero And then an open circle at zero and -1 closed at one. So that would be a graph of this function. It doesn't look like I have all the answer choices, which you want to look for, the one that starts at -3. And it's open circle.
Step-by-step explanation:
hope its help
thank you
In Biology class, Marissa is viewing cells with a microscope. Cell W
-7
measures 1.8 x 10 microns in diameter and Cell S measures
-5
7.2 x 10 microns in diameter. How many times larger is the bigger
cell than the smaller cell?
Answers
The number of times larger Cell S is compared to Cell W is 4 x 10²,
How many times larger is the bigger cell?
Scientific notation is used to compress large numbers into smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
When the power of the scientific notation is negative, it means that the number is less than 1. 0.01 would be written as 1 x [tex]10^{-2}[/tex]. Cell S is larger than Cell W.
(7.2 x [tex]10^{-5}[/tex]) ÷ (1.8 x [tex]10^{-7}[/tex])
(7.2 / 1.8) x [tex]10^{-5--7}[/tex]
4 x 10²
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A quadrilateral has two angles that measure 235° and 40°. The other two angles are in a ratio of 5:12. What are the measures of those two angles?
Answers
Answer: Let's denote the two unknown angles as x and y.
We know that the sum of the angles in any quadrilateral is 360°, so we can set up an equation using this fact:
235° + 40° + x + y = 360°
Simplifying this equation, we get:
x + y = 85° (equation 1)
We also know that the other two angles are in a ratio of 5:12. This means that:
x/y = 5/12
Multiplying both sides by y, we get:
x = (5/12)y (equation 2)
Now we can substitute equation 2 into equation 1 and solve for y:
(5/12)y + y = 85°
(17/12)y = 85°
y = (12/17) * 85°
y = 60°
Substituting y = 60° into equation 2, we can solve for x:
x = (5/12) * 60°
x = 25°
Therefore, the two angles that are in a ratio of 5:12 measure 25° and 60°, respectively.
Step-by-step explanation:
Solve the Linear Programming Problem.
Maximize z = 5x+5y
subject to 10x +6y ≥ 150
13x - 13y ≥ - 13
x + y ≤ 45
x ≥ 0
y ≥ 0
What is the maximum value of z? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. z = ___
B. There is no maximum value of z.
At what corner point(s) does the maximum value of z occur? Select the correct choice below and, if necessary, fill in the answer box to complete your choice
A. The maximum value of z occurs only at the point(s) ___
(Type an ordered pair. Use a comma to separate answers as needed.)
B. The maximum value of z occurs at the points ___
(Type an ordered pair. Use a comma to separate answers as needed.)
C. There is no maximum value of z.
Answers
Answer:
A. z = 225
B. The maximum value of z occurs at the points (22, 23) and (45, 0).
Step-by-step explanation:
To solve the linear programming problem using graphical methods, we need to graph the inequalities and find the feasible region. Then, we can identify the corner points of the feasible region and evaluate the objective function at each of these points to determine the maximum value of z.
Objective function: z = 5x + 5y
Constraints:
10x + 6y ≥ 15013x - 13y ≥ -13x + y ≤ 45x ≥ 0y ≥ 0Graph each of these inequalities by first plotting the corresponding boundary line, and then shading in the appropriate region.
Rearrange the first three inequalities to isolate y:
[tex]\boxed{\begin{aligned}10x +6y &\geq 150\\6y &\geq-10x+ 150\\y &\geq -\dfrac{5}{3}x+25\\\end{aligned}}[/tex] [tex]\boxed{\begin{aligned}13x - 13y &\geq - 13\\x -y &\geq -1\\ x +1 &\geq y\\ y &\leq x+1\end{aligned}}[/tex] [tex]\boxed{\begin{aligned}x + y &\leq 45\\y&\leq-x+45\\\phantom{w}\\\phantom{w}\end{aligned}}[/tex]
Graph the inequalities.
If the inequality sign is ≥, draw a solid line and shade above the line.If the inequality sign is ≤, draw a solid line and shade below the line.The feasible region is the region that is shaded by all of the inequalities.
Please see the attached graph.
A bounded feasible region may be enclosed in a circle and will have both a maximum value and a minimum value for the objective function. Therefore, as the feasible region for the given constraints is bounded, there is a maximum value of z.
The feasible region is bounded by the corner points:
(9, 10)(22, 23)(45, 0)(15, 0)
Evaluate the objective function z = 5x + 5y at each of these corner points:
Point (9, 10): z = 5(9) + 5(10) = 95
Point (22, 23): z = 5(22) + 5(23) =225
Point (45, 0): z = 5(45) + 5(0) = 225
Point (15, 0): z = 5(15) + 5(0) = 75
Therefore, the maximum value of z is 225, which occurs at the corner points (22, 23) and (45, 0).
A coin is tossed and then the spinner is spun. Determine the probability that you toss Heads and spin a Red.
1/6
1/10
0
1/12
Answers
The probability of getting the toss Heads and spin a Red when A coin is tossed and then the spinner is spun is 1/6 option A.
Events classified as independent do not depend on other events for their occurrence. For instance, if we toss a coin in the air and it lands on head, we can toss it again and this time it will land on tail. Both instances include separate occurrences of the two events.
Formula for probability,
P = number of outcomes/Total outcomes
P = n/T
We have probability of getting a head is, n = 1
S = {H, T}
Total Outcome = 2
So Probability p1 = 1/2
The probability of getting the red after spun is
S = {R, R, B, B, G, G}
n = 2
Total outcome = 6
p2 = 2/6 = 1/3
Total number of probability for toss Heads and spin a Red.
P = p1 x p2
P = 1/2 x 1/3
P = 1/6
Therefore, probability is 1/6.
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Intercept form 4x + 5y = 20
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By answering the question the answer is So the slope intercept expression 4x + 5y = 20 in intercept form is: x/5 + y/4 = 1
what is slope intercept?The slope-intercept form of a linear equation in mathematics is an equation of the form y = mx + b. where m is the slope of the line and b is the y-intercept, the point where the line crosses the y-axis. The slope-intercept format is a convenient way to plot equations for straight lines because it allows you to quickly see the line and determine the slope and y-intercept. The slope indicates how steep the line is, and the y-intercept indicates where the line crosses the y-axis.
The intercept form of a linear equation in two variables (x and y) is given by
x/a + y/b = 1
where a and b are the intercepts of x and y respectively.
To convert the given expression 4x + 5y = 20 to intercept form, we need to solve for the intercepts for x and y.
For x = 0, 4x + 5y = 20 becomes
0 + 5 years old = 20
y = 4
So the y-intercept is 4.
For y = 0, 4x + 5y = 20 becomes
4x + 0 = 20
x = 5
So the x-intercept is 5.
So the expression 4x + 5y = 20 in intercept form is:
x/5 + y/4 = 1
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Mrs. Cabana has 8 pets total. Three of the pets are chameleons and the rest are fish. Select all the answers that are a ratio relationship for Mrs. Cabana's pets.
Question 1 options:
Multi choice
3/5
3 to 11
3:8
5 to 8
8:1
Answers
Answer: numbers 1,3 and 4
Step-by-step explanation:
show how you would fit a piecewise quadratic equation to the following points: (-2,1), (-1,-1), and (1,2).
Answers
The required Quadratic fitting the given observations become y = 7/6x² + 3/2x - 2/3
The given points are (-2,1), (-1,-1) and (1,2).
Let us assume the quadratic fitting the given points be:
y = ax² + bx + c
Substituting the given points in this quadratic, and solving for the values of a, b and c, we get
1 = a (-2)² + b(-2) + c = 4a - 2b + c
-1 = a (-1)² + b(-1) + c = a - b + c
2 = a (1)² + b (1) + c = a + b + c
The values of a, b and c are:
then, b = 3/2
then, a = 7/6
then, c = -2/3
therefore, so, the required Quadratic fitting the given observations become:
y = 7/6x² + 3/2x - 2/3
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Help please! Appreciate the help
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For the given statements for domain and range, option 3 and option 4 are correct answers.
What is domain and range?The sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively, are the domain and range of a relation. With functions, we enter various numbers, and the output is a new set of numbers. The two essential characteristics of functions are domain and range. A function's domain and range are its constituent parts.
The domain of the function are all the input values while the range are the output values of the function for the given input.
In the given options, option 3 and 4 are correct as the functions have the same input but not the same output.
That is, they have the same domain, all real numbers, but not the same range.
Hence, for the given statements for domain and range, option 3 and option 4 are correct answers.
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A rectangle has a length 2 m less than twice its width. When 5 m are added to the width, the resulting figure is a square with an area of 144m2. Find the dimensions of the original rectangle.
Answers
When 5 meters are added to the width, the resulting figure is a square with an area of 144 square meters. This means that the new width is w + 5 meters, and the new length is also w + 5 meters (since it's a square). We can write an equation for the area of this square:
(w + 5)^2 = 144
Simplifying the equation, we get:
w + 5 = 12
w = 7
Now that we know the width of the original rectangle, we can use the expression we came up with earlier for the length:
length = 2w - 2 = 2(7) - 2 = 12
Therefore, the dimensions of the original rectangle are 7 meters by 12 meters.
Which graph matches the function given:
f(x)=((sqrt)x+5) if x<-2
|x+1| if -2 ≤ x ≤ 2
(x-2)^2 if x>2
Answers
The correct graph that matches the given function is option (C).
What does graphing function rules entail?To graph a function, select x-values and input them into the equation. Once those values have been put into the equation, you will get a y-value. The x and y values together make up a single point's coordinates.
Option is the appropriate graph for the specified function (C).
For x -2, the function is f(x) = (x+5), which is a half-parabola that starts at (5, 0) and travels through (2, 3) before opening towards the positive y-axis. Both (A) and (B) are incompatible with this aspect of the function.
The function is f(x) = |x+1| for -2 x 2, which is a V-shaped graph with an upward opening and a vertex at (1, 0). This portion of the function is covered by Option (C).
When x is greater than 2, the function is f(x) = (x2)2, which is a parabola with an upward opening and a vertex at (2, 0). This portion of the function is covered by Option (D).
No portion of the function matches option (E).
Thus, option is the appropriate graph that matches the specified function (C).
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