Answer:
\(X= 15\)
Step-by-step explanation:
Since the angles are equal the equation to solve would be:
\(3x + 20 = 5x - 50\)
you will subtract 3x from 5x and get 2x
\(20 = 2x -50\)
subtract 20 from 50 to get 30
\(2x= 30\)
divide each side by 2
\(\frac{2x}{2} = \frac{30}{2}\)
\(X= 15\)
Hope this helps
the perimeter of a rectangle is 94 centimeters. find the length and width if the length is an integer and the width is 3 times the next consecutive integer.
The length of the rectangle is 11 centimeters, and the width is 36 centimeters.
Let's denote the length of the rectangle as L and the width as W. Given that the length is an integer and the width is 3 times the next consecutive integer, we can write the width as 3(L + 1).
The formula for the perimeter of a rectangle is P = 2L + 2W. Since the perimeter is 94 centimeters, we can write the equation as:
94 = 2L + 2W
Now substitute W with 3(L + 1):
94 = 2L + 2(3(L + 1))
Simplify the equation:
94 = 2L + 6L + 6
Combine like terms:
94 = 8L + 6
Subtract 6 from both sides:
88 = 8L
Divide by 8:
11 = L
Now that we have the length, let's find the width:
W = 3(L + 1) = 3(11 + 1) = 3(12) = 36
So 11 cm is length and 36 cm is the width if the rectangle.
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Graph the inequality.
y > -5x + 2
Answer:
The graph is in the screenshot.
Step-by-step explanation:
sufficient and necessary? 1 point possible (graded) suppose that we have some loss function that may or may not have multiple critical points. we have found a critical point such that f''(w)>0 , so that we know that it is a minimum. what can we say about it being a global minimum?
In order to determine whether a critical point of a loss function is a global minimum, it is necessary to consider the second derivative of the function.
If the second derivative is positive at the critical point, then we can say with certainty that the critical point is a local minimum. However, this does not necessarily mean that it is a function function. This is because there may be other local minima at points which the second derivative is negative, and in this case, the critical point must be compared to these points to determine if it is indeed the global minimum.
In order to assess whether a local minimum is a global minimum, we must first identify any other local minima. This can be done by locating the points at which the first derivative of the function is equal to zero and then evaluating the second derivative of the function at these points. If the second derivative is negative at any of the points, then we have identified a local minimum. Then, we can compare the value of the loss function at the points function as local minima to the value of the loss function at the critical point. If the value of the loss function at the critical point is lower than the value of the loss function at the other local minima, then the critical point is the global minimum. If the values are equal, then the critical point is a global minimum if and only if it is the only local minimum.Overall, identifying whether a critical point of a loss function is a global minimum requires both sufficiency and necessity. It is necessary to evaluate the second derivative of the function at the critical point in order to determine whether it is a local minimum, and it is also necessary to identify any other local minima and compare the value of the loss function at the critical point to the value of the function at the other local minima in order to determine whether the critical point is the global minimum.
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4. A publisher wants to figure out how thick their new book will be. The book has a front
cover and a back cover, each of which have a thickness of of an inch. They have a
a
choice of which type of paper to print the book on.
a. Bond paper has a thickness of inch per one hundred pages. Write an equation for
the width of the book, y, if it has x hundred pages, printed on bond paper.
b. Ledger paper has a thickness of į inch per one hundred pages. Write an equation
for the width of the book, y, if it has x hundred pages, printed on ledger paper.
C. If they instead chose front and back covers of thickness of an inch, how would
this change the equations in the previous two parts?
Answer:
1in x 2 + 1 in =3in
2 times 1 is 2 + 1 equals 3
G=[68,83,61,70,75,82,57,5,76,85,62,71,96,78,76,68,72,75,83,93] Represents the distribution of final grades in EGR1210 course. 1. Use MATLAB to determine the number of grades in the array (don't just count them) and to sort them into ascending order. Hint use length and sort commands 2. finds all the grades greater than 70 (find (X>70), 3. Compute the mean, median, mode, and standard deviation of G. 4. Which better represents the "most typical grade," the mean, median, or mode? Why?
a) The number of grades in the array G is 20. b) The grades greater than 70 in the array G: 83, 75, 82, 76, 85, 71, 96, 78, 76, 72, 75, 83, 93. c) Mean is 73.6, median is 75.5, there is no mode and the standard deviation is 17.84. d) Mean better represents the "most typical grade."
10 To determine the number of grades in the array, we can use the length function in most programming languages. In this case, since the array G is given, the number of grades is the length of the array. Therefore, the number of grades in the array G is 20.
2) To find all the grades greater than 70 in the array G, we can iterate through each element of the array and check if it is greater than 70. Here are the grades greater than 70 in the array G: [83, 75, 82, 76, 85, 71, 96, 78, 76, 72, 75, 83, 93].
3) To compute the mean, median, mode, and standard deviation of the grades in array G, we can use various statistical formulas and functions. Here are the calculations:
Mean: The mean is the average of the grades in the array. To calculate it, we sum up all the grades and divide by the total number of grades.
Mean = (68 + 83 + 61 + 70 + 75 + 82 + 57 + 5 + 76 + 85 + 62 + 71 + 96 + 78 + 76 + 68 + 72 + 75 + 83 + 93) / 20 = 73.6
Median: The median is the middle value of the sorted array. First, we need to sort the grades in ascending order: [5, 57, 61, 62, 68, 68, 70, 71, 72, 75, 75, 76, 76, 78, 82, 83, 83, 85, 93, 96]. Since the number of grades is even, we take the average of the two middle values, which are 75 and 76.
Median = (75 + 76) / 2 = 75.5
Mode: The mode is the value(s) that appear most frequently in the array. In the array G, there is no mode because no grade appears more than once.
Standard Deviation: The standard deviation measures the dispersion or spread of the grades. We can use the formula for population standard deviation to calculate it.
Standard Deviation = \(\sqrt{\)((\((68 - 73.6)^2\) + \((83 - 73.6)^2\) + ... + \((93 - 73.6)^2\)) / 20) ≈ 17.84
4) The measure that better represents the "most typical grade" depends on the distribution of the grades. In this case, since there is no mode (no grade appears more than once), we cannot determine a single grade that represents the most typical. However, we can say that the mean and median give us different insights. The mean takes into account all the grades and provides an average value, while the median represents the middle value and is not affected by extreme values. Therefore, if the distribution is symmetric and does not have outliers, the median may be a better representation of the most typical grade. However, if the distribution is skewed or has outliers, the median may be less representative, and the mean could be influenced by those extreme values.
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The graph below shows the relationship between temperature in degrees Fahrenheit and degrees Celsius.
What is the meaning of the y-intercept?
A the change in degrees Fahrenheit for each change of one degree Celsius
Bel change in degrees Celsius for each change of one degree Fahrenheit
the temperature in degrees Fahrenheit when the temperature is zero degrees Celsius
D the temperature in degrees Celsius when the temperature is zero degrees Fahrenheit
The y-intercept of the graph is: C. "the temperature in degrees Fahrenheit when the temperature is zero degrees Celsius."
What is the Meaning of the Y-intercept of a Situation?In mathematical terms, the y-intercept is the point where a line or curve intersects the y-axis on a coordinate plane.
In practical terms, the y-intercept of a situation often represents the starting point or initial value of a variable or function.
In the graph given above that shows the relationship between temperature in degrees Fahrenheit and degrees Celsius, the y-intercept is 32 degrees Fahrenheit, which means: C. "the temperature in degrees Fahrenheit when the temperature is zero degrees Celsius."
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the tiros weather satellites were a series of weather satellites that carried television and infrared cameras and were covered by solar cells. if the cylindrical shaped body of a tiros had a diameter of 42 inches and a height of 19 inches, what was the volume available to carry instruments and cameras?
The volume available to carry instruments and cameras inside the cylindrical body of a TIROS weather satellite is approximately 26,336.5 cubic inches.
To find the volume of the cylindrical-shaped body of a TIROS weather satellite, we can use the formula for the volume of a cylinder: V = πr²h. In this case, the diameter is 42 inches, so the radius (r) is half of that, which is 21 inches. The height (h) is 19 inches.
Step 1: Calculate the radius (r) by dividing the diameter by 2.
r = 42 inches / 2 = 21 inches
Step 2: Calculate the square of the radius (r²).
r² = 21 inches × 21 inches = 441 square inches
Step 3: Multiply the square of the radius (r²) by the height (h).
Volume (V) = 441 square inches × 19 inches = 8379 cubic inches
Step 4: Multiply the result by π (approximately 3.1416).
V = 8379 cubic inches × 3.1416 ≈ 26,336.5 cubic inches
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PIC BELOW!! HELP HELP‼️‼️
Answer:
answer B
Step-by-step explanation:
to find the volume you need to multiply the length x width x height which is 4.2 x 3 x 7 = 88.2
What is the surface area?
5 mm
4 mm
5 mm
6 mm
7 mm
square millimeters
Answer:
Base of 5mm, Height of 6mm, Width of 7mm214mm^2
Base of 4mm, Height of 4mm, Width of 10mm192mm^2
Base of 5mm, Height of 6mm, Width of 7mm214mm^2
Base of 6mm, Height of 3mm, Width of 2mm72mm^2
7mmLittle over 1/4 Inch0.27559 Inches
The total surface area is 124 square millimeters.
What the surface area of a rotating prism?To find the surface area of any kind of prism we use the general formula. The total surface area of a prism is the sum of lateral surface area and area of two flat bases.
The total surface area of a Prism = (2 × Base Area) + (Base perimeter × Length).
Here, area of base is Area=2(Base×Height)
= 2(6×4)
= 12 square millimeters
Now, Base perimeter × Length= (5+5+6)×7
= 16×7
= 112 square millimeters
Total area = 12+112
= 124 square millimeters
Therefore, the total surface area is 124 square millimeters.
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What value will make the equation true?
-4.2 - x = -2 2/4
A.-6.7
B.1.7
C.-1.7
D.6.7
Answer:
C. -1.7
Step-by-step explanation:
-4.2 - x = -2 2/4
-2 2/4 = -10/4 = -2.5
-4.2 - x = -2.5
-x = 1.7
x = -1.7
So, the answer is C. -1.7
whats the gfc of 15 and 30?
Answer:
15
Step-by-step explanation:
any recommendations for anime?
The Misfit of Demon King Academy
Please help I need to know now :(
Answer:
\(\frac{6x*x^{3}}{y^{2}}\\\\\)
Step-by-step explanation:
\(a^{-m}=\frac{1}{a^{m}}\\\\\frac{1}{a^{-m}}=a^{m}\\\\a^{m}*a^{n}=a^{m+n}\\\\\\\frac{6xy^{-2}}{x^{-3}}=\frac{6*x*x^{3}}{y^{2}}\\\\=\frac{6x^{(1+3)}}{y^{2}}\\\\=\frac{6x^{4}}{y^{2}}\)
even though emilio writes neatly and legibly, it takes him a very long time to write a few sentences. which strategy may help emilio to write more fluently?
One strategy that may help Emilio write more fluently is practicing speed writing or shorthand techniques.
Practicing speed writing or shorthand techniques can help Emilio increase his writing speed without sacrificing legibility. Speed writing involves using abbreviations, symbols, and shortcuts to represent words or phrases, allowing for faster transcription of thoughts onto paper.
Shorthand systems, such as Gregg shorthand or Pitman shorthand, provide structured methods for condensing words and phrases into simplified symbols.
By learning and practicing speed writing or shorthand techniques, Emilio can improve his writing efficiency and reduce the time it takes to write a few sentences. This strategy allows him to maintain neatness while increasing his writing speed, enabling him to express his thoughts more fluently.
With regular practice and familiarity, Emilio will become more comfortable with the shorthand system and experience a significant improvement in his writing speed and fluency.
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if f(x)=9-4x^2 Find
a) f(-2)
b) f(-3) f(3)
c) x such that f(x) = 0
Answer:
see explanation
Step-by-step explanation:
(a)
To evaluate f(- 2) substitute x = - 2 into f(x) , that is
f(- 2) = 9 - 4(- 2)² = 9 - 4(4) = 9 - 16 = - 7
(b)
Similarly substitute x = - 3 and x = 3 into f(x)
f(- 3) = 9 - 4(- 3)² = 9 - 4(9) = 9 - 36 = - 27
f(3) = 9 - 4(3)² = 9 - 4(9) = 9 - 36 = - 27
(c)
let f(x) = 0 , then
9 - 4x² = 0 ( add 4x² to both sides )
9 = 4x² ( divide both sides by 4 )
\(\frac{9}{4}\) = x² ( take the square root of both sides )
± \(\sqrt{\frac{9}{4} }\) = x
± \(\frac{\sqrt{9} }{\sqrt{4} }\) = x
± \(\frac{3}{2}\) = x
That is x = - \(\frac{3}{2}\) or x = \(\frac{3}{2}\)
briefly describe the objective of conducting a lockbox study
However, there is a cost associated with using Lockboxes, which can be a great way for businesses to accelerate their collection procedures and provide customers with faster service.
Businesses can direct their customers' physical payments to a lockbox, which is an official drop-off location where they are collected and processed by a bank.
Banks can save their customers a lot of time and trouble when it comes to collecting physical payments by charging on a per-transaction or monthly basis.
If you have the right volume and business model, a lockbox service has many advantages that can outweigh its costs.
reduces processing costs frequently.makes your accounting go faster.Digitization of payments occurs automatically.Gauge all the more precisely.To know more about the Lockbox study,
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add 17 divied by 20 + 7 dived by 20 help
Answer:
1.2
Step-by-step explanation:
17 ÷ 20 + 7 ÷ 20
I hope this helps!
Write the equation of the line in fully simplified slope-intercept form.
plss help
Answer: y=2x-5
Step-by-step explanation:
need help asap use the screen shot
Answer:
7 and 37
Step-by-step explanation:
Imagine our 3rd side becoming smaller and smaller. In the ultimate case the triangle will be a flat line, and the two other lines overlap. The third line will have to be 7, to get from 15 to 22 (22-15=7).
Likewise, if the line increases and increases, again you'll endup with a flat line, but now the two otherlines will span the entire third line, so its length is the sum, i.e., 15+22 = 37
-59 = m - 11, m = ? i dont know the answer
Answer:
m = -48
Step-by-step explanation:
m - 11 = -59 (add 11 on both sides)
m = -48
Hope this helps!!
Answer:
m = -48
Step-by-step explanation:
m - 11 = -59
you add the 11 to both sides crossing it out from the left side and then you get an equation that looks like this.
m = -59 + 11
Now you can just solve it like a simple subtraction problem, -59 + 11 = -48
Hope I was able to help :)
1
Identify the shape and find the area. (Round your answer to the tenths place if needed)
10
Shape
Perimeter = 17
Apothem = 4.2
Area =
NEXT
Answer:
Pentagon and I think the area is 19.89 so if you round it, that will be 19.9
Como puedo resolver esto?
- x - y = 4
The points on the graph of the equation represent the solution set to the equation.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Given is the equation as -
- x - y = 4
The given equation is -
- x - y = 4
x + y = 4
The graph of the given equation will represent a straight line. All the points on the line represent the solution set to the equation.
Therefore, the points on the graph of the equation represent the solution set to the equation.
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{Question in english -
How can i solve this?
- x - y = 4}
the sum of two numbers is 495. the one digit of one thte numbers is you cross off the zero the resulting number will eqal the other number what are the numbers
The two numbers whose sum is 495 and follows the required conditions are 450 and 45.
Let the two numbers be "AB0" and "AB," where A and B are digits, and 0 represents a zero.
The sum of the two numbers is equal to 495.
The last digit of one of the numbers is zero, which means the first number is a multiple of 10, so we can rewrite it as 10x.
If you cross off the zero from the first number, you get the second number, so the second number is AB.
Now, let's substitute the values into the equation:
10x + x = 495
Now, add the like terms, and we get,
11x = 495
Divide both sides by 11, and we get,
x = 495/11
x = 45
And, 45 times 10 is 450.
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The complete question:
The sum of the two numbers is equal to 495.
The last digit of one of them is zero.
If you cross the zero off the first number you will get the second.
What are the numbers?
y=cbrt(2x)
graph for edge 2021 please
Vocabulary:
Graph: A visual representation of data.
Data: Gathered information.
Situated Problem:
Graph: \(y=\sqrt[3]{x} -2\)
Brandon's car averages 25 miles per gallon of gas. Predict how far he can travel on 5 gallons of gas
8cm
20cm
What is the volume of this cylinder?
Answer:
4021.2386 cm ^3
Step-by-step explanation:
V = πr2h = π·82·20 = 4021.2386 cm ^3
data from a poll conducted by travelocity led to the following estimates: approximately 44% of travelers check work email while on vacation, about 32% take cell phones on vacation in order to stay connected with work, and about 26% bring a laptop computer on vacation. are the given percentages population values or were they computed from a sample?
The estimates that is led from the data from a poll conducted by Travelocity , then the percentages are "computed from a sample" .
The Data from the poll conducted by Travelocity was computed from a sample of travelers and was used to estimate the proportion of travelers
The travelers have certain habits or behaviors, such as checking work email (44%) taking a cell phone (32%) , or bringing a laptop computer on vacation (26%) .
The sample estimates are used to make inferences about the population.
Therefore , the given percentages are that they were "computed from a sample" .
The given question is incomplete , the complete question is
Data from a poll conducted by Travelocity led to the following estimates:
Approximately 44% of travelers check work email while on vacation, about 32% take cell phones on vacation in order to stay connected with work, and about 26% bring a laptop computer on vacation.
Are the given percentages "population values" or were they "computed from a sample" ?
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Analyze the diagram below and complete the instructions that follow.
K
B
A
гс
F
E
Given that ZCFE ZCFA, mZCFB = 68°, and mZEFD= 62°, find the measure of ZAFD.
The measure of ZAFD is 50 degrees.
Based on the given information:
ZCFE is congruent to ZCFA.
mZCFB = 68°.
mZEFD = 62°.
To find the measure of ZAFD, we can use the fact that angles in the same segment of a circle are equal.
Since ZCFE and ZCFA are congruent, angle ZCFE is equal to angle ZCFA.
Therefore, mZCFA = mZCFE.
Now, let's find the measure of angle ZCFE:
mZCFE = mZCFB + mZEFD (Angle Addition Postulate)
mZCFE = 68° + 62°
mZCFE = 130°
Since ZCFA is congruent to ZCFE, we can conclude that mZCFA is also equal to 130°.
Now, to find the measure of ZAFD, we need to consider the angles in the quadrilateral ZAFD.
The sum of the angles in a quadrilateral is always 360°.
mZAFD + mZAFB + mZBFD + mZBFA = 360°
We know that mZAFB and mZBFD are equal to 90° because they are right angles (angle AFB and angle BFD are right angles in the diagram).
Therefore, we can rewrite the equation as:
mZAFD + 90° + 90° + mZBFA = 360°
Simplifying:
mZAFD + 180° + mZBFA = 360°
Rearranging the equation:
mZAFD + mZBFA = 360° - 180°
mZAFD + mZBFA = 180°
We know that mZBFA is equal to mZCFA, which is 130°.
Substituting the known values into the equation:
mZAFD + 130° = 180°
Subtracting 130° from both sides:
mZAFD = 180° - 130°
mZAFD = 50°
Therefore, the measure of ZAFD is 50 degrees.
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Hasil tambah semua faktor perdana 66 ialah
Answer:
16
Please mark as brainliest;)
Suppose the supply function for avocados (in avocados permonth) is Q=58+15p-20pf, where is the price of fertilizer per lb. If the price of fertilizer rises by $1.60 per lb., how will this affect the supply curve for avocados?
Part 2 If the price of fertilizer rises by $1.60 per lb., then the supply of avocados will change by enter your response here avocados per month at each price. (Enter your response as a whole number and include a minus sign if necessary.)
Part 3 Using the line drawing tool, show how an increase in the price of fertilizer affects the avocado supply curve. Label this new supply curve '.'
Part 1: An increase in the price of fertilizer per pound will affect the supply curve for avocados.
The supply function for avocados is given by Q = 58 + 15p - 20pf, where p is the price of avocados and pf is the price of fertilizer. When the price of fertilizer rises by $1.60 per pound, it means that the value of pf in the supply function increases by $1.60. Consequently, the equation for the new supply curve becomes Q = 58 + 15p - 20(pf + 1.60). This adjustment reflects the decrease in supply resulting from the higher cost of production due to the increased fertilizer price.
Part 2: To determine how the supply of avocados changes in response to the price increase of $1.60 per pound of fertilizer, we need to evaluate the change in quantity supplied (ΔQ) at each price level. By substituting the new value of pf = original pf + $1.60 into the supply function, we can find the difference in quantity supplied.
For example, if the supply of avocados at a particular price was initially Q1, the new supply with the increased fertilizer price would be Q2. The change in supply can be calculated as ΔQ = Q2 - Q1, expressed in avocados per month. This value will indicate the magnitude and direction of the supply shift resulting from the change in fertilizer price.
The supply curve for avocados is influenced by the cost of production, including the price of inputs like fertilizer. When the price of fertilizer increases, it directly affects the production costs for avocado growers. The supply function reflects this relationship by incorporating the price of fertilizer (pf) as a factor.
As the price of fertilizer per pound rises, the term -20pf in the supply equation causes a decrease in the quantity supplied at each price level. This implies a leftward shift of the supply curve, indicating a reduction in the overall supply of avocados in the market. The magnitude of the shift can be determined by calculating the change in quantity supplied (ΔQ) using the new value of the fertilizer price. The supply curve is dynamic and changes in input prices can lead to significant shifts in the quantity of avocados supplied.
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