A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line).
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) component, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations whose variables have a power of one are called linear equations. A single variable example with real values for a and b and x as the variable is ax+b = 0.
A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line).
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A pyramid has a rectangular base with edges of length 10 and 24. The vertex of the pyramid is directly 13 units above the center of the base. What is the: Total surface area of the pyramid?
Answer:
10 x 24 x 13 = 3120?
Step-by-step explanation:
I hope this is right!
Answer:
\(10\sqrt{313} +24\sqrt{194}+240\) square units
Step-by-step explanation:
If your base is 10x24, and the vertical height is 13, you first have to find the slant height of the pyramid, in other words, calculate the hypotenuse of the triangles constructed using the height and the base divided by 2. You will need to find two slant heights as the base is not square. If you look at that image, the slant heights are marked in blue, and the specific measurements know are given in red. Using that, we can apply the Pythagorean theorem to determine the slant heights, which are \(\sqrt{194}\) and \(\sqrt{313}\), then we need to calculate the area of each triangular face. Thus they are \(5\sqrt{313}\) and \(12\sqrt{194}\), but there are two identical faces in the pyramid, which means we should double the area of the faces to achieve \(10\sqrt{313} +24\sqrt{194}\), then we need to simply add the base as it's a face. So the answer is \(10\sqrt{313} +24\sqrt{194}+240\)
Need help completing
Jen's gross pay can be found to be $ 560
Jen's net weekly pay would be $ 492. 30
Jen's net monthly pay would be $ 1, 969. 20.
How to find the net and gross pay ?The gross pay for the week for Jen would be :
= Number of hours of work x Number of days per week x Payment per hour
= 7 x 5 x 16
= $ 560
The net weekly pay is:
= 560 - Income tax - EI - CPP - Payroll savings
= 560 - 23.50 - 5. 87 - 8. 33 - 30
= $ 492. 30
The monthly net pay would then be :
= 492. 30 x 4
= $ 1, 969. 20
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9. 60, 30, 0, -30,…
a. Arithmetic, geometric, or neither?
b. Recursive equation:
c. Explicit equation:
it is Arthematic equation
A recursive formula is a formula that defines each term of a sequence using preceding term(s). Recursive formulas must always state the initial term, or terms, of the sequence.
so it is recursive equation
How can 10% of 82 be used to determine 60% of 82?
Enter your answers in the boxes to correctly complete the statement.
10% of 82 is
, so 60% of 82 is
Answer:10% of 82 is 820so 60% of 82 is 4800
Step-by-step explanation:
i hope im right
expand the fraction so they have the same dominator 1/3;1/5
Answer:
To expand the fractions 1/3 and 1/5 so they have the same denominator, you can find the least common multiple (LCM) of 3 and 5, which is 15. Then, you can multiply both the numerator and denominator of each fraction by the same number to get equivalent fractions with a denominator of 15. So, 1/3 can be expanded to (15)/(35) = 5/15, and 1/5 can be expanded to (13)/(53) = 3/15.
Step-by-step explanation:
Questions 1-14of 14
Which expression is equivalent to the quotient of 4 and t?
4+t
4
t
4xt
Od
4-t.
If PQ = 15 and QR = 13, what is PR? Write your answer as a decimal or integer.
Answer:
28
Step-by-step explanation:
I don't know how to solve this at all, i just need some help on how to figure it out. Thanks!
Answer:
\(\sf \dfrac{3}{{z-3} }\)
Explanation:
\(\Longrightarrow \sf \dfrac{1}{z} \div \dfrac{z-3}{3z}\)
apply the theorem when \(\dfrac{a}{b} \div \dfrac{c}{d}\) then \(\dfrac{a}{b} \times \dfrac{d}{c}\)
\(\Longrightarrow \sf \dfrac{1}{z} \times \dfrac{3z}{z-3}\)
Join the fractions
\(\Longrightarrow \sf \dfrac{3z}{z({z-3)} }\)
Cancel out common factor z
\(\Longrightarrow \sf \dfrac{3}{{z-3} }\)
The answer is : \(\boxed {\frac{3}{z-3}}\)
Remember that dividing fractions is the same as multiplying the 1st fraction by the reciprocal of the other.
\(\mathsf {\frac{1}{z} \div \frac{z-3}{3z}}\)
\(\mathsf {\frac{1}{z} \times \frac{3z}{z - 3}}\)
\(\mathsf {\frac{3}{z-3}}\)
Which graph does not represent a function'
Answer:
D
Step-by-step explanation:
Hey There!
In order for it to be a function the x value cannot repeat
In the last graph the x value repeats multiple times therefore it is not a function
Which operation would make the first element in row 2 equal 0?
4
-4
0
-1 -4 -7
6 2
-4
8 10
22
?
4
-1
0
5
08
-4 -7
-2 -11
10
22
To make the first element in row 2 equal to 0, we need to perform a row operation on the matrix.
What is matrix?A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.
Matrices are commonly used in mathematics, computer programming, and other fields to represent and manipulate data, equations, and transformations.
One way to do this is to add 2 times the first row to the second row:
4 -4 0 10
0 -6 2 -16
-1 -4 7 -6
The resulting matrix has a 0 in the first element of the second row. Note that we added 2 times the first row to the second row because we want to eliminate the first element of the second row by making it zero.
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Answer: add row 1 and row 2 and insert the result in row two.
Step-by-step explanation:
did it on edge
Mount Kilimanjaro is the highest peak in Africa. Write an integer to represent the elevation of Mount Kilimanjaro at 5,895 meters above sea level.
Answer:
5,895
Step-by-step explanation:
Above sea level, meaning it's positive
Can you solve 17+4x<9
Answer:
x<-2
Step-by-step explanation:
17+4x<9
4x<-8
x<-2
The solution is:
↬ x < -2Work/explanation:
Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).
Make sure that all constants are on the right:
\(\bf{4x < 9-17}\)
\(\bf{4x < -8}\)
Divide each side by 4:
\(\bf{x < -2}\)
Hence, x < -2✨✨✨IDENTIFY THE DOMAIN AND RANGE OF EACH. THEN SKETCH THE GRAPH✨✨✨ PLS HELPPPPPPP
Answer:
A
Step-by-step explanation:
The graph stops at the point (-1,-3) so
The domain (x) would have to be greater than or equal to -1
The range (y) would be greater than or equal to -3
When an alternating current of frequency f and peak current I_0 passes through a resistance R, then the power delivered to the resistance at time t seconds is P = I^2_0 R sin^2 2 pi ft. Write an expression for the power in terms of csc^2 2 pi ft. P = I^2_0 R/(csc^2 2 pi ft) P = I^2_0 R (csc^2 2 pi ft) P = I^2_0/(1 - csc^2 2 pi ft) P = I^2_0 R(1 - csc^2 2 pi ft)
The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).
According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.
To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).
Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.
Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).
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2) Find the perimeter of the figure below.
6yd 5yd 9yd 4yd
Paul teaches math to five classes in sixth grade. he wants to measure the variation in the performances of students of each class. which measures will help him?
The measures of variation that can be used by Paul are interquartile range and mean absolute deviation.
What are the measures of variation?
The interquartile range is the difference between the third quartile and the first quartile.
Third quartile = 3/4(n + 1)
First quartile = 1/4 x (n + 1)
The mean absolute deviation is the average of the distance of a data set from its mean.
Mean absolute deviation = ∑ l x - m(x) l
Mean, median and mode are measures of tendency. They are used to measure the number at the center of a dataset.
Here are the options:
Mean absolute deviation
mean
interquartile range
median
mode
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mean absolute deviation
mean
median
interquartile range
mode
The total surface area of the rectangular prism is ________ square centimeters and the lateral surface area is _______ square centimeters.
Answer: surface area is _______ square centimeters.
To answer this question, I would need to know the dimensions of the rectangular prism, as both the total surface area and the lateral surface area depend on the dimensions of the prism.
Assuming the rectangular prism has length (l), width (w), and height (h), the formulas for the total surface area and the lateral surface area are:
Total surface area = 2lw + 2lh + 2wh
Lateral surface area = 2lh + 2wh
Therefore, to find the total surface area and lateral surface area of a specific rectangular prism, I would need to know its dimensions (length, width, and height) and plug them into these formulas.
Step-by-step explanation:
The mean weight of an adult is 68 kilograms with a standard deviation of 10 kilograms. If 128 adults are randomly selected, what is the probability that the sample mean would be greater than 70.3 kilograms?
The probability that the sample mean of 128 adults is more than 70.3 kilogrammes is about 0.08%.
We can utilise the Central Limit Theorem to tackle this problem, which stipulates that given a high sample size, the distribution of sample means will be approximately normal, regardless of the form of the population distribution. The sample means' mean will equal the population mean, and the sample means' standard deviation (also known as the standard error) will equal the population standard deviation divided by the square root of the sample size.
Given that the population mean is 68 kilogrammes and the population standard deviation is 10 kilogrammes, the chance that the sample mean of 128 adults is more than 70.3 kilogrammes must be calculated.
To begin, we first compute the standard error of the sample means:
Standard Error = Standard Deviation of the Population / Sample Size
= 10 / √128
= 0.8839
The z-score formula may then be used to calculate the z-score corresponding to a sample mean of 70.3 kilogrammes:
(sample mean - population mean) / standard error = z
= (70.3 - 68) / 0.8839
= 3.15
We may calculate the likelihood that the z-score is greater than 3.15 using a conventional normal distribution table or a calculator. Because the standard normal distribution is symmetrical, the likelihood of the z-score being more than 3.15 is the same as the likelihood of the z-score being less than -3.15.
According to a conventional normal distribution table, the probability associated with a z-score of -3.15 is roughly 0.0008.
As a result, the chance that the sample mean of 128 adults is more than 70.3 kilogrammes is roughly 0.0008, or 0.08%.
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The probability that the sample mean of 128 adults would be greater than 70.3 kilograms is approximately 0.0008, or 0.08%.
To solve this problem, we can use the Central Limit Theorem, which states that for a large sample size, the distribution of sample means will be approximately normal, regardless of the shape of the population distribution. The mean of the sample means will be equal to the population mean, and the standard deviation of the sample means (also known as the standard error) will be equal to the population standard deviation divided by the square root of the sample size.
Given that the population mean is 68 kilograms and the population standard deviation is 10 kilograms, we need to calculate the probability that the sample mean of 128 adults is greater than 70.3 kilograms.
First, we need to calculate the standard error of the sample means:
Standard Error = Population Standard Deviation / √Sample Size
= 10 / √128
= 0.8839
Next, we can use the z-score formula to find the z-score corresponding to a sample mean of 70.3 kilograms:
z = (sample mean - population mean) / standard error
= (70.3 - 68) / 0.8839
= 3.15
Using a standard normal distribution table or a calculator, we can find the probability that the z-score is greater than 3.15. Since the standard normal distribution is symmetrical, the probability that the z-score is greater than 3.15 is the same as the probability that the z-score is less than -3.15.
From a standard normal distribution table, we find that the probability corresponding to a z-score of -3.15 is approximately 0.0008.
Therefore, the probability that the sample mean of 128 adults would be greater than 70.3 kilograms is approximately 0.0008, or 0.08%.
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A shirt originally cost $47.78, but it is on sale for $35.84. What is the percentage decrease of the price of the shirt? If necessary, round to the nearest percent. HELP PLEASE!
Answer:
The answer is 10%.
Step-by-step explanation:
Solution:
To get the percentage decrease of the price of the shirt, you have to subtract 46.58 - 41.92 = 4.66 .
Then the divide 4.66 / 46.58 = 0.10004294 .
Then round the decimal and you will get 0.10 .
Then move 2 steps from the decimal then you will get the percentage 10.
So the answer is 10%.
John makes $8.25 per hour after he got a 50 cent raise. Write the equation
Answer:
8.25+50
Step-by-step explanation:
Rachna has nickels, dimes, and quarters in her piggy bank. She has $4.65 altogether. She has three more quarters than dimes and twice as many nickels as quarters. How many quarters does Rachna have?
8
11
22
41
Answer: 11
Step-by-step explanation: gimme brainliest pleaseeeeeeeeeee
Answer:
B on edge
Step-by-step explanation:
just got it correct
Seed (oz)
2
3
4
Area Covered as
es
5025
2
Answer: Not enough information provided, please provide any additional instructions, answers, and text which may have been included in the question.
Step-by-step explanation:
What is the code in python to remove ' at the beginning and at the end and also remove the item at index 12?
To remove the single quotation marks ('') at the beginning and end of a string and remove the item at index 12, you can use Python's string manipulation methods and list slicing. First, you can use the strip() method to remove the surrounding single quotation marks. Then, you can convert the string into a list using the list() function, remove the item at index 12 using list slicing, and finally convert the list back into a string using the join() method.
To remove the single quotation marks at the beginning and end of a string, you can use the strip() method. This method removes any leading and trailing characters specified in the argument. In this case, you can pass the single quotation mark ('') as the argument to strip().
Here's an example:
string = "'example string'"
stripped_string = string.strip("'")
After executing this code, the value of stripped_string will be 'example string' without the surrounding single quotation marks.
To remove the item at index 12 from the string, you need to convert it into a list. You can use the list() function for this conversion. Then, you can use list slicing to remove the item at index 12 by excluding it from the list. Finally, you can convert the modified list back into a string using the join() method.
Here's an example:
string_list = list(stripped_string)
string_list.pop(12)
result_string = ''.join(string_list)
After executing this code, the value of result_string will be the modified string with the item at index 12 removed.
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I need help please find answers for both of them worth 15 points
Answer:
Volume = 9900 ft2
Step-by-step explanation:
To find the volume of the pool, we can use the base as the trapezoid, and then we need to calculate the base area and multiply by the height.
The trapezoid has a bigger base of 8 and a smaller base of 3, with a height of 60, so the area is:
Area = (8+3)*60/2 = 330 ft2
Now, to find the volume, we just need to multiply the base area by the height of 30 feet:
Volume = Area * Height = 330 * 30 = 9900 ft2
Which of the following best describes the equation below?
y = 8x + 7
A.
neither linear nor nonlinear
B.
linear
C.
both linear and nonlinear
D.
nonlinear
Answer:
B
Step-by-step explanation:
A line in the coordinate plane has a slope of 4, and a distance of 1 unit from the origin. Find the area of the triangle determined by the line and the coordinate axesA line in the coordinate plane has a slope of m=4, and a distance of 1 unit from the origin. => that is a point (1,0)
so, the equation of this line will be:
y-y1=m(x-x1)...plug in given data
y-0=4 (x-1)
y=4x-4
now we know y intercept is at (0,-4)Find the area of the triangle determined by the line and the coordinate axes
the triangle determined by the line and the coordinate axes is right triangle, and its legs are base and altitude
base is 1 unit long, altitude is 4units long
The area of the triangle according to the information given in the question is 17/8.
What is meant by triangle?A triangle is a three-sided polygon that is also known as the trigon.
Angles in a triangle are formed by connecting the three sides end to end at a point.
Consider the following right-angled triangle, with vertices (0,-4), (0.0), and (1,0).
Its legs are 4 and 1 meters long, and its hypotenuse is 42+12=17 meters long.
The height "h" (altitude) of this triangle drawn to the hypotenuse is easily determined.
Based on the area, we get the equation (41)/2=(1/2)17h h=4/17 h=0.970143.
As we can see, it is not a single unit.
It means that the triangle's legs should be 17/4 as long as the original triangle's legs (1 unit and 4 units).
As a result, the area of the seeking triangle is (1/2)(17/4)(417/4) = (1/2)(17/4) =17/8
As a result, the area of the triangle in the question is 17/8.
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given list: ( 6, 13, 14, 30, 38, 50, 60, 72, 76, 87, 90, 92 ) ex: 42, 32, 12 which list elements will be compared to key 60 using binary search? enter elements in the order checked.
Using binary search to find the key 60 in the given list, the elements compared in order are: 38, 76, 60.
1. We start by comparing the key (60) to the middle element of the list, which is 38. Since 60 is greater than 38, we know that the key must be in the second half of the list.
2. Next, we compare the key to the middle element of the second half of the list, which is 76. Since 60 is less than 76, we know that the key must be in the first half of the second half of the list.
3. We then compare the key to the middle element of the first half of the second half of the list, which is 50. Since 60 is greater than 50, we know that the key must be in the second half of the first half of the second half of the list.
4. Next, we compare the key to the middle element of the second half of the first half of the second half of the list, which is 72. Since 60 is less than 72, we know that the key must be in the first half of the second half of the first half of the second half of the list.
5. Finally, we compare the key to the middle element of the first half of the second half of the first half of the second half of the list, which is 60. Since 60 is equal to 60, we have found the position of the key in the list.
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how easy is it for you to apply algebra concepts when determining angle measures of a polygon?
To determine the measures of the angles of a polygon are necessary the concepts of algebra by using the formula of the sum of interior angles and creating equations and obtaining the measures of unknown angle.
First, it is important to remember the formula for the sum of interior angles of a polygon, which is (n-2) x 180°, where n is the number of sides of the polygon.
Next, you can use algebra concepts to solve for the unknown angle measures. For example, if you know the sum of the interior angles and the measures of some of the angles, you can create an equation and solve for the unknown angle measures.
Here is an example:
If a quadrilateral has interior angles of 70°, 110°, and 120°, you can use the formula (4-2) x 180° = 360° to find the sum of the interior angles. Then, you can create the equation 70° + 110° + 120° + x = 360° and solve for x to find the measure of the unknown angle.
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a rectangle has a perimeter of 128 inches. the length is four less than twice the width. what is the length of the rectangle?
The length of the rectangle is approximately 41.34 inches.
Let's assume the width of the rectangle is represented by the variable w. According to the given information, the length of the rectangle is four less than twice the width, which can be expressed as 2w - 4.
The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 128 inches. Since a rectangle has two pairs of equal sides, we can set up the equation:
2w + 2(2w - 4) = 128.
Simplifying the equation, we get:
2w + 4w - 8 = 128,
6w - 8 = 128,
6w = 136,
w = 22.67.
So, the width of the rectangle is approximately 22.67 inches. To find the length, we can substitute this value back into the expression 2w - 4:
2(22.67) - 4 = 41.34.
Therefore, the length of the rectangle is approximately 41.34 inches.
In summary, the length of the rectangle is approximately 41.34 inches. This is determined by setting up a system of equations based on the given information: the perimeter of the rectangle being 128 inches and the length being four less than twice the width.
By solving the system of equations, we find that the width is approximately 22.67 inches, and substituting this value back, we obtain the length of approximately 41.34 inches.
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which license sequence allow you to receive a full provisional license
A: full provisional license, limited provisional license, limited leaner permit
B: limited leaner permit, limited provisional license, full provisional license
C: limited provisional license, full provisional license, limited learner permit
Answer:
The correct sequence of licenses that allow you to receive a full provisional license is C: limited provisional license, full provisional license, limited learner permit.