If there is a 20% discount on a $55 sweatshirt, that sweatshirt would now only cost $44.
Answer: $44
Also: The 20% is $11
because the median is not affected by the size of an outlier and does not change even if a particular outlier is replaced by an even more extreme value, we say the median is _____ to outliers.
Answer:
resistant
because the median is not affected by the size of an outlier and does not change even if a particular outlier is replaced by an even more extreme value, we say the median is resistant to outliers.
write x^5 • x^7 as a single exponential expression
the price of a gallon of milk follows a normal distribution with a mean of $3.4 and a standard deviation of $0.2. find the price for which only 35% of milk vendors lower than?
Answer: $3.32
Step-by-step explanation:
-0.3853 = (x - 3.4) / 0.2
Solving for x, we get:
X = 3.32
Therefore, the price for which only 35% of milk vendors is lower than $3.32.
Assume that the mathematics scores on the sat are normally distributed with a mean of and a standard deviation of. What percent of students who took the test have a mathematics score between and ?
Using the z-scores, you would find the cumulative probabilities associated with each z-score and subtract them to determine the percentage of students between the two scores.
To answer the question, we need the specific values for the mean and standard deviation of the mathematics scores on the SAT. Unfortunately, those values are missing in your query.
However, I can provide you with the general steps to calculate the percentage of students who have a mathematics score between two given values, assuming a normal distribution.
Convert the given scores to z-scores. The z-score measures the number of standard deviations a given score is from the mean.
Use the standard normal distribution table or a statistical calculator to find the cumulative probability associated with each z-score.
Subtract the smaller cumulative probability from the larger cumulative probability to calculate the percentage of students between the two scores.
For example, if the mean is 500 and the standard deviation is 100, you would convert the given scores to z-scores using the formula: z = (x - mean) / standard deviation.
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______________________________ (three words) are a precise mathematical description of the semantics of an executing program.
Program State Model describes a precise mathematical description of the semantics of an executing program.
This model is used to illustrate how the program executes and to determine its behavior. It is composed of three components: states, transitions, and actions. A program state is a snapshot of the program's state at a particular point in its execution. It includes the values of variables and other resources. Transitions are the changes that occur between states, and are caused by the execution of instructions. Finally, actions are the operations that are performed by the program as it transitions from one state to the next. All of these components together provide a mathematical model for understanding the behavior of a program.
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what are the points when you graph y = -7x -1
Answer: I believe you mean x and y intercepts? They are (0, -1) and (-1/7, 0)
Step-by-step explanation:
Plug in 0 for x and y (one at a time) for each intercept. eg The x intercept is at y=0 and the y intercept is at x=0.
Add the polynomials (4x2 - 9x + 4) + (7x3 - 9x
we remove the parenthesis and add the number that have the same exponent
\(\begin{gathered} 4x^2-9x+4+7x^3-9x \\ 7x^3+4x^2+(-9x-9x)+4 \\ 7x^3+4x^2-18x+4 \end{gathered}\)what is -8, -9 across the x-axis and then across the y-axis
this is your answer...........
How do you graph it out
Describe the transformations that maps figure RSTU onto figure R1 S1 T1 U1
Problems had to do with translation and units
Figure RSTU is transformed into Figure R1 S T 1 U1 by moving down two units and reflecting on the y axis.
what is transformation ?Deformations are four alternative approaches that can be utilized to change a point, line, or mathematical figure's orientation and/or shape. Both the Pre-Image, who describes the shape of the object there at initial state, and the Photograph, which describes the final state and location of the object following change, are words. Translations, reflection, and dilations are the three types of transformations that can be differentiated. A function can undergo two different types mathematical transformations: vertical (it affects the y-values) and sideways (affects the x-values). Its function's equation is provided below, and it comprises the share the information variables (a, b, h, and k). modifying the log. observation. even by square root, invert.
given
From the figure RSTU to R'S'T'U' R moved from P(5,2) to P(-3,0), translating 8 units to the left.
Hence, 5-(-3)= 8 = 2-0 = 0.
Down two units.
as well as reflection on the y axis.
Figure RSTU is transformed into Figure R1 S T 1 U1 by moving down two units and reflecting on the y axis.
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What is the value of x in the diagram?
Answer:
Simplifying
6x = 36
Solving
6x = 36
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '6'.
x = 6
Simplifying
x = 6
If Mike walked 10 miles in two hours how many miles did he walk in one hour?
Answer:
5 miles
Step-by-step explanation:
10 miles in 2 hours
so the half in 1 hour; 5 miles
-3(3-8j) answer pls i need to make up my grade , what’s the answer?
Answer: if the j is supposed to be there, the answer is -9+24j. if the j is not there then just -9+24.
Step-by-step explanation: we distribute the -3 to the 3 and the -8. (-3x3=-9) and (-3x-8=24). when you multiply for divide by a single negative it is negative. when there are two negatives the answer will come out positive.
What is meant by zero-point energy?
Zero-point energy is the lowest energy state of a quantum system at absolute zero temperature.
Zero-point energy is the lowest energy state of a quantum system at absolute zero temperature. To calculate the zero-point energy, the energy of the system must first be determined at the lowest temperature that can be achieved in practice, typically close to absolute zero. The energy at this temperature is then subtracted from the energy of the system at higher temperatures. This difference is the zero-point energy. The zero-point energy can be calculated by taking the sum of the energies of all of the quantum states at absolute zero. This sum can be approximated using the uncertainty principle and the Heisenberg Uncertainty Principle. The sum is then multiplied by Planck's constant to get a value for the zero-point energy. Finally, the total zero-point energy is the sum of the individual zero-point energy values of each quantum state. This energy represents the energy of the system at absolute zero and is the lowest energy state possible.
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The nth term of a different sequence is 2^n+5 show that 36 is not part of the sequence
Answer:
It is not a term of the sequence
Step-by-step explanation:
See attached image
As an estimation we are told £3 is €4.
Convert €12 to pounds.
Answer:
£9
Step-by-step explanation:
3 x 4 = 12
3 x 3 = 9
Answer:
£9
Step-by-step explanation:
£3 -> €4
x3
£? -> €12
so three times three
3 x 3 = 9
Another way
3 divided by 4 is .75
so multiply .75 by 12
A family of two adults and three children went to a water park. Admission to the water park costs $18 per person. Nora used the expression 2 (18) + 3 (18) to model the total cost for the family, and Alex used the expression 5 (18). Which property of operations makes both of their expressions correct am so sorry i forgot
Answer:
communtive property of multiplication
Answer: commutative property ⚡
Step-by-step explanation
Find all solutions of the equation in the interval [0, 2pi) Cos(x + 3 pi/4) - cos (x- 3pi/4) = 0
Therefore, the solutions of the equation cos(x + 3π/4) - cos(x - 3π/4) = 0 in the interval [0, 2π) are x = 0, π, and 2π.
To find all solutions of the equation cos(x + 3π/4) - cos(x - 3π/4) = 0 in the interval [0, 2π), we can use the trigonometric identity for the difference of two cosines:
cos(A) - cos(B) = -2sin((A + B)/2)sin((A - B)/2)
Using this identity, we can rewrite the equation as:
-2sin((x + 3π/4 + x - 3π/4)/2)sin((x + 3π/4 - x + 3π/4)/2) = 0
Simplifying further:
-2sin((2x)/2)sin((3π/2)/2) = 0
-2sin(x)sin(3π/4) = 0
Now, we can consider the two cases where either sin(x) = 0 or sin(3π/4) = 0:
Case 1: sin(x) = 0
In this case, x can be any multiple of π since sin(x) is zero at those points. So the solutions are x = 0, π, and 2π.
Case 2: sin(3π/4) = 0
There are no solutions in the interval [0, 2π) for this case since sin(3π/4) is not zero.
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Amy had $80 to spend on a filter. She spent 20% of the money on a filter and paid $16 to a plumber to install it. What is the percentage of the money she is left with
Amy is left with 60% of the money she had initially.
Let's break down the problem step by step:
Amy had $80 to spend on a filter.
She spent 20% of the money on a filter, which is 0.20 * $80 = $16.
After purchasing the filter, she paid $16 to a plumber to install it.
So far, Amy has spent a total of $16 + $16 = $32.
To find out how much money Amy is left with, we subtract the amount she has spent from the initial amount she had:
$80 - $32 = $48
Amy is left with $48.
To determine the percentage of the money she is left with, we can calculate what portion of the initial amount she still has:
($48 / $80) * 100 = 60%
Therefore, Amy is left with 60% of the money she had initially.
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HELP ME PLEASEEEEEEEE
X Y
-2 11
-1 7
0 3
1 -1
2 -5
-2 = 16 times minus 2 plus 4y equals to 12
-1 = 16 times minus 1 plus 4y equals to12
0 = 16 times 0 plus 4y equals to 12
1 = 16 times 1 plus 4y equals to 12
2 = 16 times 2 plus 4y equals to 12
Therefore,
-2 = 16 * -2 + 4y = 12
-32 + 4y = 12
4y = 12 + 32
4y = 44
y = 44/4
y = 11
-1 = 16 * -1 + 4y = 12
-16 + 4y = 12
4y = 12 + 16
4y = 28
y = 28/4
y = 7
0 = 16 * 0 + 4y = 12
0 + 4y = 12
4y = 12 + 0
4y = 12
y = 12/4
y = 3
1 = 16 * 1 + 4y = 12
16 + 4y = 12
4y = 12 - 16
4y = -4
y = -4/4
y = -1
2 = 16 * 2 + 4y = 12
32 + 4y = 12
4y = 12 - 32
4y = -20
y = -20/4
y = -5
PLEASE HWLP IM ON A TIME LIMIT
Determine f(–3) for A piecewise function f of x in three pieces. The function is defined by part 1, which is x cubed for x less than negative 3, part 2, which is 2 times x squared minus 9 for negative 3 is less than or equal to x which is less than 4, and part 3 which is 5 times x plus 4, for x greater than or equal to 4..
–27
–11
9
19
A function transfers each element's value from one set to a particular element in another set. When the value of x is -3, the function's value is -11.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
As the function's value is required to be rounded when the value of x is -3, we can write the function as follows:
\(f(-3) = 5\text{x} + 4\) Because x has a value of -3,
\(f(-3) = 5(-3) + 4\)
\(\bold{f(-3) = -11}\)
Hence, when the value of x is -3, the function's value is -11.
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Afton has $14.95 worth of quarters and dimes. If Afton has 4 times as many dimes as she does quarters, how many quarters does she have?
Answer:
$59.80
Step-by-step explanation:
After addressing the issue at hand, we can state that by function Katherine now has 28 quarters.
what is function?Mathematicians investigate numbers and their varieties, equations and adjacent tissues, shapes but instead their locations, and potential locations for these things. The term "function" refers to the relationship here between set of inputs, each with its own output. A function is a relationship of both inputs and outputs in which each input results in a single, distinct production. Each function has its own domain, codomain, or scope. The letter f is commonly used to denote functions (x). An x represents entry. On functions, each capabilities, so several capabilities, in capabilities, and on operations are the four major types of accessible functions.
here, we have,
Let's represent the unknown quantities with variables.
Let d be the number of dimes Katherine possesses.
Let q represent Katherine's number of quarters.
We can deduce from the problem:
Equation 1: Total dimes and quarters value = $8.60 0.10d + 0.25q = 8.60
Number of quarters = Number of dimes + 12 q = d + 12 Equation 2:
Now we can plug equation 2 into equation 1 to eliminate q and find d:
0.10d + 0.25(d + 12) = 8.60
Katherine now has 16 dimes.
We can use equation 2 to calculate the number of quarters:
q = d + 12 = 16 + 12 = 28
Katherine now has 28 quarters.
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complete question:
Katherine has $8.60 in dimes and quarters. If she has twelve more quarters than dimes, how many dimes does she have? How many quarters does she have?
The initial and terminal points of RS are given below. Write the vector as a linear combination of standard unit vectors i and j.
R(11,-4) and S(10, 3)
The vector as a linear combination of standard unit vectors i and j is,
⇒ - i + 7j
We have to given that;
The initial and terminal points of RS are given below,
⇒ R(11, -4) and S(10, 3)
Hence, We can write as;
R = 11i - 4j
S = 10i + 3j
Hence, The vector as a linear combination of standard unit vectors i and j is,
⇒ RS = S - R
= (10i + 3j) - (11i - 4j)
= - i + 7j
Thus, The vector as a linear combination of standard unit vectors i and j is,
⇒ - i + 7j
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solve the equation 3x+12=19 show your work
\(x = 2.3333\)✅
Step-by-step explanation:-\(3x + 12 = 19 \\ ➡ \: 3x = 19 - 12 \\ ➡ \: 3x = 7 \\ ➡ \: x = \frac{7}{3} \\ ➡ \: x = 2.3333\)
To verify:-
\(3x + 12 = 19 \\ ➡ \: 3 \times 2.3333 + 12 = 19 \\ ➡ \: 6.9999 + 12 = 19 \\ ➡ \: 19 = 19 \\ ➡ \: L. H. S. =R. H. S. \)
Hence verified.
\(\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘\)
Linda evaluates the expression 7+5x for x=3 and x+4/5. When x=3, she gets 7+5x=7+5 times 3 =12 times 3 =36. When x=4/5, she gets 7+5x=7+5 times 4/5=12 times 4/5=48/5. What does linda do wrong?Explain
the first expression
\(7+5x\)x=3
\(7+5(3)=7+15=22\)she was wrong because she first sum 7+5 and she doesn't respect that first we always solve the brackets and then the other operations
and for x=4/5
\(7+5(\frac{4}{5})=7+4=11\)the same mistake she doesn't respect that first we always solve the operations with brackets and then the other operations
Which of the following sets of vectors are linearly independent?
A) [8,1,-6], [-1,-5,-4]
B) [9,3,0], [-7,5,0], [-8,6,0]
C) [-1,-7],[9,-1]
D) [2,4,7],[-9,-2,-3],[7,-2,-4]
E) [7,-9], [-2,-3], [-4,-6]
F) [-4,-6], [4,6]
The sets of linearly independent vectors are A), C), and E).
Which of the sets of vectors are linearly independent?To determine whether a set of vectors is linearly independent or not, we can form a matrix with the vectors as columns, and then row reduce the matrix to see if any rows of zeros are produced. If there are no rows of zeros, then the vectors are linearly independent; otherwise, they are linearly dependent.
A)
| 8 -1 |
| 1 -5 |
| -6 -4 |
Performing row operations, we get:
| 1 0 |
| 0 1 |
| 0 0 |
Since there are no rows of zeros, the vectors are linearly independent.
B)
| 9 -7 -8 |
| 3 5 6 |
| 0 0 0 |
Performing row operations, we get:
| 1 0 -1 |
| 0 1 1 |
| 0 0 0 |
Since there is a row of zeros, the vectors are linearly dependent.
C)
| -1 9 |
| -7 -1 |
Performing row operations, we get:
| 1 0 |
| 0 1 |
Since there are no rows of zeros, the vectors are linearly independent.
D)
| 2 -9 7 |
| 4 -2 -2 |
| 7 -3 -4 |
Performing row operations, we get:
| 1 0 1 |
| 0 1 -1 |
| 0 0 0 |
Since there is a row of zeros, the vectors are linearly dependent.
E)
| 7 -2 -4 |
| -9 -3 -6 |
Performing row operations, we get:
| 1 0 2 |
| 0 1 1 |
Since there are no rows of zeros, the vectors are linearly independent.
F)
| -4 4 |
| -6 6 |
Performing row operations, we get:
| 1 -1 |
| 0 0 |
Since there is a row of zeros, the vectors are linearly dependent.
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Maria wants to buy a new phone researching realized that the best price and 147.86 US dollars at the time of purchase it still achieved a 10% discount which and the amount paid by maria already with the discount
put the math account please
Answer:
0.6763154335
Step-by-step explanation:
because. 10%is the same as 10 over 100 .because percent means 100. so you say 100÷10=10. then you say 10×14.786. this is how I got the answer.
PLEASE HELP
Order the following numbers from greatest to least. 8.4, 25/3,√72, 35/4
Using greater than sign or number line, we can show the numbers from greatest to least as 35/4 > √72 > 25/3 > 8.4
How is the number arranged from greatest to leastTo arrange numbers from greatest to least, you would first find the largest number and place it at the beginning of the list. Then, you would compare the remaining numbers and place the next largest number after the first. You would continue this process until all of the numbers are arranged in order from largest to smallest.
In this problem, we can arrange the number from greatest to least and assigning the greater than sign to show the decrease in number. We dan also use the concept of number line to show how the numbers are placed.
From the data given,
35/4 > √72 > 25/3 > 8.4
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For the rectangle shown which equation can be used to find the value of c
A=5
B=x
C=12
Answer: B = 1.9
Step-by-step explanation:
A=5
C=12
B=x
Pythagorean Theorem: 5^2 + x^2 = 12^2
25+x^2=144
x^2=119
\(\sqrt{19}\)≈10.9
Consider the system of linear equations 2- y = kx - y = k (a) Reduce the augmented matrix for this system to row-echelon (or upper-triangular) form. (You do not need to make the leading nonzero entries 1.) (b) Find the values of k (if any) when the system has (a) no solutions, (b) exactly one solution (if this is possible, find the solution in terms of k), (e) infinitely many solutions (if this is possible, find the solutions).
The system of linear equations has no solutions for any value of k except when k = 2, where it has infinitely many solutions.
(a) To reduce the augmented matrix for the system of linear equations to row-echelon form, we can write the system of equations as:
2 - y = kx
-y = k
To eliminate y in the first equation, we can multiply the second equation by (-1) and add it to the first equation:
(2 - y) - (-y) = kx - k
2 = kx - k
This gives us a new system of equations:
2 = kx - k
Now, we can represent this system in augmented matrix form:
[1 -k | 2]
(b) To find the values of k, we can examine the augmented matrix.
If the system has no solutions, it means that the rows of the augmented matrix result in an inconsistent equation, where the last row has a leading nonzero entry. In this case, for the system to have no solutions, the augmented matrix should have a row of the form [0 0 | c], where c ≠ 0. In our case, the augmented matrix [1 -k | 2] doesn't have this form, so there are no values of k that lead to no solutions.
If the system has exactly one solution, the augmented matrix should be in row-echelon form, with each row having at most one leading nonzero entry. In this case, the augmented matrix should not have any rows of the form [0 0 | c], where c ≠ 0. In our case, the augmented matrix can be reduced to row-echelon form as follows:
[1 -k | 2]
From this form, we can see that there are no restrictions on the value of k. For any value of k, the system will have exactly one solution.
If the system has infinitely many solutions, the augmented matrix should have at least one row of the form [0 0 | 0]. In our case, the augmented matrix can be reduced to:
[1 -k | 2]
From this form, we can see that if k = 2, the last row becomes [0 0 | 0]. Therefore, for k = 2, the system will have infinitely many solutions.
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