Answer:
( x + 6, y + 4)
Step-by-step explanation:
Let's pick point S at ( -9, -4); it changes to point S' at ( -3, 0)
The x increase by 6, and the y increase by so the answer is
( x + 6, y + 4)
John is standing 55 m from the base of
a lighthouse. How tall is the lighthouse
if the angle of elevation from John to the
top of the lighthouse is 28°?
Answer:
X=29.2m
Step-by-step explanation:
Please mark as brainliest
Tom owns a Pizza Restaurant. Expenses for the restaurant include raw material for pizza at $7.02 per slice, $121.00 as monthly rental and $56.00 monthly as insurance. A restaurant sells pizza at a rate of $12.02/slice. How many slices should the restaurant sell in a month to break even
For Tom's Pizza Restaurant where expenses for the restaurant include raw material for pizza, monthly rent and insurance, total 35 slices must be sold in a month to break even.
There is Tom has a Pizza Restaurant. Now, the Expenses for the restaurant include raw material for pizza = $7.02 per slices
Monthly rental = $ 121.00
Monthly insurance= $56.00
So, Monthly fixed expense = Rent + Insurance = 121+ 56 = $177
The sell rate of pizza = $12.02/slice.
We have to determine the number of slices restaurant sell in a month to break even.
Contribution margin per share = selling price per slice - variable cost per slice = 12.02 - 7.02 = $5.00
Number of slice to be sold to break even = Fixed cost divided by Contribution margin per slice = \(\frac{ 177}{5}\)
= 35.4
= 35 (rounded to whole number)
Hence, 35 slices must be sold for break even.
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Select the correct answer.
Juan needs to rewrite this difference as one expression.
31
25
2 – 75 + 10
3 15
First he factored the denominators.
25
(1-2)(: - 5) — 345 - 5)
What step should Juan take next when subtracting these expressions?
OA.
Cancel the factor x from the numerator and the denominator of both fractions.
ОВ.
Subtract the numerators.
Oc. Multiply the second fraction by = 2
Multiply the first fraction by
OD.
Answer:
Option C
Step-by-step explanation:
Difference of the two expressions has been written as,
\(\frac{3x}{x^2-7x+10}-\frac{2x}{3(x-5)}\)
To rewrite this expression as one expression,
First he factored the the denominators,
\(\frac{3x}{(x-2)(x-5)}-\frac{2x}{3(x-5)}\)
Then Juan will make the denominators of both the terms equal,
For which he will multiply the second expression by \(\frac{x-2}{x-2}\).
\(\frac{3x}{(x-2)(x-5)}-\frac{2x(x-2)}{3(x-5)(x-2)}\)
Option C will be the correct option.
Answer:
C. Multiply the second fraction
Step-by-step explanation:
what is the probability of mission success if at least 11 of the 16 patrol boats must operate for the duration of the mission
The probability of mission success if at least 11 of the 16 patrol boats must operate for the duration of the mission is:P(X ≥ 11) = 0.174 + 0.097 + 0.039 + 0.011 + 0.002 + 0.00003≈ 0.323 or about 32.3%
To find the probability of mission success if at least 11 of the 16 patrol boats must operate for the duration of the mission, we need to use the binomial probability formula which is given by: P(X = x) = nCx * p^x * q^(n-x)where, n is the total number of trials x is the number of successful trials p is the probability of success
q = 1 - p is the probability of failure n Cx = n! / x!(n-x)! is the binomial coefficient In this case, since we want to know the probability of at least 11 boats operating for the mission, we can find the probability of 11 boats, 12 boats, 13 boats, 14 boats, 15 boats and 16 boats operating, and then add them up.
So, we have: P(X ≥ 11) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) + P(X = 16)where, n = 16 (since there are 16 patrol boats)p = 0.9 (since the probability of a patrol boat operating is 0.9)q = 0.1 (since the probability of a patrol boat not operating is 0.1)
Using the formula above, we get:P(X = 11) = 4368 * 0.9^11 * 0.1^5 = 0.174P(X = 12) = 1365 * 0.9^12 * 0.1^4 = 0.097P(X = 13) = 455 * 0.9^13 * 0.1^3 = 0.039P(X = 14) = 136 * 0.9^14 * 0.1^2 = 0.011P(X = 15) = 35 * 0.9^15 * 0.1^1 = 0.002P(X = 16) = 1 * 0.9^16 * 0.1^0 = 0.00003
Thus, if at least 11 of the 16 patrol boats are required to operate throughout the mission, the chance of mission success is P(X 11) = 0.174 + 0.097 + 0.039 + 0.011 + 0.002 + 0.00003 0.323 or roughly 32.3%.
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a. Expand to write an equivalent expression: −14(−8x+12y)
Answer:
112x-168y
Hope this helps!
The sum of 49 consecutive integers is 75. What is their median ?
The median of a set of consecutive integers can be found by determining the middle value in the sequence. Given that the sum of 49 consecutive integers is 75, we can calculate their median.
To find the median of a set of consecutive integers, we need to determine the middle value. In this case, we are given that the sum of 49 consecutive integers is 75.
Let's assume the first integer in the sequence is "x." Since we have 49 consecutive integers, the last integer will be "x + 48." The sum of the sequence can be expressed as the sum of an arithmetic series: S = (n/2)(first term + last term), where "n" is the number of terms.
Substituting the given values, we have 75 = (49/2)(x + (x + 48)). Simplifying this equation further, we get 75 = 49(2x + 48).
Solving for "x" gives us x = -49. Therefore, the first integer in the sequence is -49, and the last integer is -1.
The median of a sequence of consecutive integers is the middle value. In this case, since we have an odd number of integers (49), the median will be the central value, which is (-49 + -1) / 2 = -25.
Thus, the median of the given sequence of 49 consecutive integers is -25.
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plot scatter plot and compute the strength of as- sociation between variables. are these variables are associated? x
The given statement that the scatter plot is used to visualize the association (or lack of association) between two quantitative variables is true.
A scatter plot is a graphical representation of the relationship between two quantitative variables. The data points are plotted on a coordinate plane, and the pattern or association between the two variables is visualized.
This can help identify the presence or absence of a relationship, the strength of the relationship, and the direction of the relationship (positive or negative). The scatter plot can also be used to identify any outliers or outliers in the data.
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--The given question is incorrect; the correct question is
"A scatter plot is used to visualize the association (or lack of association) between two quantitative variables.
True
False"--
exponent rules: (6m⁸n⁹) (4mn⁷) = ?
please help
The value of the given equation is, (6m⁸n⁹) (4mn⁷) =\($$=24 m^9 n^{16}$$\)
What is exponent rules?(am)n = am*n is the exponent power rule. Exponent times power is how you raise a number with an exponent to a power. The x-n = 1/xn Negative Exponent Rule. A negative exponent can become positive by inverting the base. According to the first law, adding the exponents will multiply two exponential functions with the same base. According to the second law, we must subtract the exponents when dividing two exponential functions with the same base. The third law indicates that we must multiply the exponents in order to increase a power to a new power.Simplify\($\left(6 m^8 n^9\right)\left(4 m n^7\right): \quad 24 m^9 n^{16}$\)
steps
\($$\left(6 m^8 n^9\right)\left(4 m n^7\right)$$\)
Apply exponent rule: \($a^b \cdot a^c=a^{b+c}=0^{\prime}=$\)
\(& m^8 m=m^{8+1} \\\)
\(& =6 n^9 \cdot 4 m^{8+1} n^7\)
\end{aligned}
Add the numbers: \($8+1=9$\)
\(=6 n^9 \cdot 4 m^9 n^7\)
Apply exponent rule: \($a^b \cdot a^c=a^{b+c}$\)
\(& n^9 n^7=n^{9+7} \\\)
\(& =6 \cdot 4 m^9 n^{9+7}\)
Add the numbers: \($9+7=16$\)
\($$=6 \cdot 4 m^9 n^{16}$$\)
Multiply the numbers: 6 - \($4=24$\)
\($$=24 m^9 n^{16}$$\)
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Solve for x in the literal equation −14 = xy + z.
x =
Step-by-step explanation:
answers...................
A certain polygon has its vertices at the following points: (1, 1), (1, 8), (8, 1), and (8, 8)
Answer:
Can u explain more pls?
Step-by-step explanation:
Answer:
Square
Step-by-step explanation:
I need help ASAP PLEASE! WILL GIVE BRAINLIEST
Determine whether this statement is true or false. If the statement is false, give a counterexample.
Statement: All integers are rational numbers.
Answer:
true
Step-by-step explanation:
because no integers are irrational.
Explain how to do order of operations. Use an example
Answer:
First, solve what is in the parentheses of the function. Next, solve the exponents. This includes normal exponents, negative exponents, square roots, cube roots, etc. After that, multiply and divide, and finally, add and subtract the remaining equation.
Plzzzzz help plzzzzz help meeee
There are 30 giraffe and 6 penguin at the zoo. Which tatement correctly compare the two quantitie?
To compare the two quantities, divide the number of giraffes by the number of penguins There are 5 times as many giraffes as penguins at the zoo.
To compare the two quantities, you need to divide the number of giraffes by the number of penguins.
30 giraffes / 6 penguins = 5
This means that there are 5 times as many giraffes as penguins at the zoo.
There are 5 times as many giraffes as penguins at the zoo. To compare the two quantities, divide the number of giraffes by the number of penguins (30/6 = 5). This means that there are 5 times more giraffes than penguins at the zoo.
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1. Ben wrote a report on trains.
Author's Reason:
Explain:
Answer:
Step-by-step explanation:
the answer is 2 because if you subtract and add you will get your and and good luck on the state test 5th 6th and 7th and younger kids.
(14 points) Suppose you want to encode messages containing only the following characters with their given respective frequencies: B : 55 D : 15 E : 80 G : 5 U : 45
(a) (2 points) What is the minimum length bit string required to encode each character with a distinct, fixed-length code?
(b) (7 points) Construct the Huffman Tree for the characters with the given frequencies. (Use the convention that when merging two vertices, the vertex with the largest count goes on the left.)
(c) (5 points) Use your Huffman Tree to decode the message M = 00101010000011
discrete math
a) the minimum length bit string required to encode each character with a distinct, fixed-length code is 7 bits.
b) The resulting Huffman Tree is as follows:
/\
((G, D), (B, U), E)
c) decoding the message M = 00101010000011 using the Huffman Tree gives the string "DUBEE".
What is string?
A string is a sequence of characters, such as letters, digits, symbols, or spaces, that are used to represent text. In programming languages, strings are often enclosed in quotation marks (e.g., "Hello, World!").
(a) To find the minimum length bit string required to encode each character with a distinct, fixed-length code, we need to determine the maximum number of bits needed to represent any character. We can do this by finding the character with the highest frequency and calculating the number of bits required based on that frequency.
In this case, the character with the highest frequency is 'E' with a frequency of 80. To represent 80 unique values, we need at least ⌈log₂80⌉ = 7 bits.
Therefore, the minimum length bit string required to encode each character with a distinct, fixed-length code is 7 bits.
(b) To construct the Huffman Tree, we start by creating individual trees for each character, with their respective frequencies as the weights. We then iteratively merge the two trees with the lowest frequencies until all the trees are combined into a single tree.
First, let's list the characters and their frequencies:
B: 55
D: 15
E: 80
G: 5
U: 45
Merge G and D (5 + 15 = 20):
Frequency: 20
Combined tree: (G, D)
Merge B and U (55 + 45 = 100):
Frequency: 100
Combined tree: (B, U)
Merge the combined tree from step 1 with the combined tree from step 2 (20 + 100 = 120):
Frequency: 120
Combined tree: ((G, D), (B, U))
Merge the combined tree from step 3 with E (120 + 80 = 200):
Frequency: 200
Combined tree: ((G, D), (B, U), E)
The resulting Huffman Tree is as follows:
/\
((G, D), (B, U), E)
(c) To decode the message M = 00101010000011 using the Huffman Tree, we start from the root and follow the path based on the bits.
Starting from the root:
M[0] = 0 -> Go to the left child ((G, D))
M[1] = 0 -> Go to the left child (G)
M[2] = 1 -> Go to the right child (D)
At this point, we have decoded the first character as 'D'. We continue from the root for the remaining bits:
M[3] = 0 -> Go to the left child ((B, U))
M[4] = 1 -> Go to the right child (U)
M[5] = 0 -> Go to the left child (B)
M[6] = 1 -> Go to the right child (U)
We have decoded the second character as 'U'. Finally, for the last two bits:
M[7] = 1 -> Go to the right child (E)
M[8] = 1 -> Go to the right child (E)
The last character is 'E'.
Therefore, decoding the message M = 00101010000011 using the Huffman Tree gives the string "DUBEE".
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Select all that are not polynomials.
Multiple select question.
cross out
A)
49x2 – 64
cross out
B)
−7xy+2y
cross out
C)
45y2+y – y3+8+x3
cross out
D)
-16
cross out
E)
3x−2+6x2
Answer:
B) −7xy+2y
E) 3x−2+6x^2
roger had 245 baseball cards in 5 binders. if each binder has the same number of cards, how many cards are in each binder
Answer:
49 cards in each binder
Step-by-step explanation:
If there are 5 binders and each binder contains the same amount of cards, you can just do 245 divided by 5 which gives you 49.
In the context of data patterns in a time series, regular patterns in a data series that take place over long periods of time are called _____.
In the context of data patterns in a time series, regular patterns in a data series that take place over long periods of time are called trends.
A trend is a long-term direction in which a series of data points moves. In other words, it describes how the data varies over time in a specific direction (upward, downward, or horizontal).
There are three types of trends: upward trend, downward trend, and horizontal trend (also known as stationary trend). An upward trend indicates that the data is increasing over time, while a downward trend indicates that the data is decreasing over time.
On the other hand, a horizontal trend indicates that the data is stable or random over time, and it's neither increasing nor decreasing.
For instance, in the figure below, the green line represents an upward trend, the red line represents a downward trend, and the blue line represents a horizontal trend.
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x = 0; y = (x > 0) ? 10 : -10;
The value assigned to variable y in the given expression "x = 0; y = (x > 0) ? 10 : -10;" is -10.
In the given expression "x = 0; y = (x > 0) ? 10 : -10;", the variables x and y are being assigned values based on a conditional statement.
First, the value of x is assigned as 0.
The conditional statement (x > 0) checks whether the value of x is greater than 0. In this case, since x is equal to 0, the condition evaluates to false.
The ternary operator ? : is used to specify different values for y based on the outcome of the conditional statement. If the condition is true, the value assigned to y would be 10. On the other hand, if the condition is false, the value assigned to y would be -10.
In this case, since the condition (x > 0) is false, the value assigned to y is -10, as indicated after the colon :.
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why does the formula for area of a circle make sense
Answer:
Step-by-step explanation:
The usual definition of pi is the ratio of the circumference of a circle to its diameter, so that the circumference of a circle is pi times the diameter, or 2 pi times the radius. The animation above shows that a circle can be cut and rearranged to closely resemble a parallelogram (with height r and base pi times r) of area pi times the square of the radius. By dividing the circle into more than eight slices, the approximation obtained in this manner would be even better. By dividing the circle into more and more slices, the approximating parallelograms approximate the area of the circle arbitrarily close. This give a geometric justification that the area of a circle really is "pi r squared".
Euler method in Matlab
30. Solve: Nxy - 0.5ye-0.1x for osx54 with y(0) = 6.5 dx Plot the solution. =
The differential equation to be solved is Nxy - 0.5ye-0.1x for osx54 with y(0) = 6.5 dx. This can be solved using Euler's method in MATLAB.
Follow the steps below.
Step 1: Create a function file - The differential equation needs to be defined in a function file first. Let's create a function file named "odefun.m".function dydx = odefun(x,y)
dydx = N*x*y - 0.5*y*exp(-0.1*x);
where N is a constant value that needs to be defined.
Step 2: Define the given values - Define the given values such as N, initial value y(0), and step size dx.
N = ...; %
Define N herey 0 = 6.5; %
Define initial value of y here. dx = ...; %
Define step size here
Step 3: Use Euler's method to solve the differential equation - Now, use Euler's method to solve the differential equation using a for loop. The MATLAB code is as follows: x = 0:dx:54; %
Define range of x values here y = zeros(size(x)); %
Initialize y as a vector of zeros y(1) = y0; %
Assign initial value of y to y(1) for i = 1: length(x)-1 dydx = odefun(x(i),y(i)); y(i+1) = y(i) + dydx*dx; end
Step 4: Plot the solution - Finally, plot the solution using the MATLAB command plot(x,y).
The complete MATLAB code is given below:
N = ...; %
Define N here y0 = 6.5; %
Define initial value of y here dx = ...; %
Define step size here x = 0:dx:54; %
Define range of x values here y = zeros(size(x)); % Initialize y as a vector of zeros y(1) = y0; %
Assign initial value of y to y(1) for i = 1: length(x)-1 dydx = odefun(x(i),y(i)); y(i+1) = y(i) + dydx*dx; end plot(x,y)
The plot of the solution will be displayed.
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Michael’s favorite cereal is Cinnamon Toast Crunch. His mom buys him a big box for a special treat, and he wants to figure out exactly how much cereal is in the box. The box has a volume of 384 cubic inches. The height is 12 inches and the length is 8 inches. What is the width?
Answer:
he made a good choice, the width is: 4 inches
Step-by-step explanation:
12 x 8 x _4_ = 384
which of the following is in Integrity but not a whole number A -9.6 B -4
Answer:
B. -4.
Step-by-step explanation:
Is the shape a polygon?
Answer:
Yes
Step-by-step explanation:
Because a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.
the mean of five positive integers is 1.5 times their median. four of the integers are 8, 18, 36 and 62, and the largest integer is not 62. what is the largest integer?
The largest number of the five positive integers is 146.
Mean:
The mean is the mathematical average of a set of two or more numbers. The arithmetic mean and the geometric mean are two types of mean that can be calculated. The formula for calculating the arithmetic mean is to add up the numbers in a set and divide by the total quantity of numbers in the set.
Median:
The median is the middle value in a set of data. First, organize and order the data from smallest to largest. To find the midpoint value, divide the number of observations by two. If there are an odd number of observations, round that number up, and the value in that position is the median.
Here we have to find the largest integer.
Data given:
Four of the five integers are 8, 18, 36, and 62.
It is given that mean of five numbers 1.5 times their median.
mean = (8+18+36+62 + x)/5
median = 36
mean = 1.5 × median
(124 + x) / 5 = 1.5 × 36
124 + x = 5 × 54
x = 270 - 124
= 146
Therefore we get the largest number as 146.
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Fly with Us owns a D.C.10 airplane that has seats for 240 people. The company flies this airplane only if
there are at least 100 people on the plane. Write a compound inequality to show the possible number of
people in a flight on a D.C.10 with Fly with Us. Let n represent the possible number of people in the flight.
Answer:
562
Step-by-step explanation:
if 240 equals 100
solve pls brainliest
Answer:
1.8 or 1 4/5 should be the answer!
She went up 2 steps, and each step is 9/10 feet high.
2 x 9/10 = 18 / 10
18 / 10 = 1 8/10
1 8/10 = 1 4/5
Answer: 1 4/5 feet
Hope this helps!
suppose five students from the class are chosen at random. what is the probability that none are mechanical engineering majors?
The probability that none are mechanical engineering majors is 0.51.
The number of students who are not mechanical engineering majors is 100 - 49 = 51. The probability of choosing a student who is not a mechanical engineering major in one draw is 51/100. The probability of choosing five students in a row who are not mechanical engineering majors is (51/100)^5. Thus, the answer is (51/100)^5 = 0.1517816.
Probability refers to potential. From 0 to 1 is used to express the value. To determine how likely an event is to occur, probability has been introduced in mathematics. This is the fundamental theory of probability, which is also applied to the probability distribution, and from which you will discover the likelihood of results for a random experiment. The complete number of possibilities that can occur should be known before calculating the likelihood that a certain event will occur.
The complete question is:-
In a class of 100 students, 30 are computer science majors, 49 are mechaincal engineering majors, 13 are civil engineers and the rest are general engineering majors. Assume students only have one major.Suppose five students from the class are chosen at random what is the probability none are mechanical engineering majors?My info I know: The mechanical engineers account for 49% of the students, making 51% not mechanical engineers? Do I take five out of the 51, so 0.05 X 0.51?
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Find the volume of the prism. Round your answer to the nearest tenth, if necessary.
Answer:
V = 2304 cm³
Step-by-step explanation:
V = LHW
V = 18 cm × 16 cm × 8 cm
V = 2304 cm³