Answer:
m∠ABC = 75°
Step-by-step explanation:
From the figure attached,
Three lines intersect each other at point B.
Angles formed at B are collinear.
By the property of collinear angles at a point,
Sum of all angles formed on a straight line at the point B = 180°
(3x - 6)° + (2x + 25)° + (x + 11)° = 180°
6x + 30 = 180
6x = 150
x = 25
Since, m∠ABC = (2x + 25)°
= (2×25) + 25
= 75°
Therefore, measure of angle ABC = 75° will be the answer.
The speed of a sound wave in air depends on the air temperature. The formula
a=1052+1.08t
Turn into a math problem and solve: Twelve decreased by 8 times a number is 36. Find the number.
Answer: -3
Step-by-step explanation:
12 - 8x = 36
subtract 12 from each side
-8x = 24
divide by -8
x = -3
A 90% confidence interval is constructed based on a sample of data, and it is 74% +3%. A 99% confidence interval based on this same sample of data would have: A. A larger margin of error and probably a different center. B. A smaller margin of error and probably a different center. C. The same center and a larger margin of error. D. The same center and a smaller margin of error. E. The same center, but the margin of error changes randomly.
As a result, for the same data set, a 99% confidence interval would have a greater margin of error than a 90% confidence interval.
Answer: If a 90% confidence interval is constructed based on a sample of data, and it is 74% + 3%, a 99% confidence interval based on this same sample of data would have a larger margin of error and probably a different center.
What is a confidence interval? A confidence interval is a statistical technique used to establish the range within which an unknown parameter, such as a population mean or proportion, is likely to be located. The interval between the upper and lower limits is called the confidence interval. It is referred to as a confidence level or a margin of error.
The confidence level is used to describe the likelihood or probability that the true value of the population parameter falls within the given interval. The interval's width is determined by the level of confidence chosen and the sample size's variability. The confidence interval can be calculated using the standard error of the mean (SEM) formula
.A 90% confidence interval indicates that there is a 90% chance that the interval includes the population parameter, while a 99% confidence interval indicates that there is a 99% chance that the interval includes the population parameter.
When the level of confidence rises, the margin of error widens. The center, which is the sample mean or proportion, will remain constant unless there is a change in the data set. Therefore, alternative A is the correct answer.
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Evaluate the equation. d - 4.12 = 12.8
A) d = 8.58
B) d = 8.68
C) d = 16.92
D) d = 17.02
Answer: i think its D
Step-by-step explanation:
1. Find the slope of the line passing through the points (3,5) and (3, -6).
slope:
2. Find the slope of the line passing through the points (-6, 2) and (8,2).
slope:
please help
Question 1)
Given the points
(3, 5)(3, -6)Finding the slope between (3, 5) and (3, -6)
(x₁, y₁) = (3, 5)(x₂, y₂) = (3, -6)Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [-6 - 5] / [3 - 3]
= -11 / 0
= undefined or ∞
Thus, the slope of the line = m = undefined.
Note: The undefined slope means the line is vertical.
Question 2)
Given the points
(-6, 2)(8, 2)Finding the slope between (-6, 2) and (8, 2)
(x₁, y₁) = (-6, 2)(x₂, y₂) = (8, 2)Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [2 - 2] / [8 - (-6)]
= 0 / 14
= 0
Thus, the slope of the line = m = 0.
Note: The zero slope means the line is horizontal.
______ is a technique used to reduce the number of transactions between subsidiaries of the firm by paying the total amount to be transferred between subsidiaries rather than settling transactions individually.
The technique used to reduce the number of transactions between subsidiaries of a firm by paying the total amount to be transferred between subsidiaries rather than settling transactions individually is known as "netting."
Netting is a process in which the financial obligations between subsidiaries within the same firm are consolidated and settled on a net basis. Instead of making multiple individual transactions for each obligation between subsidiaries, netting allows for the aggregation of these obligations into a single payment or transfer.
This approach helps streamline the settlement process and reduces the administrative burden associated with managing numerous individual transactions.
By using netting, the firm simplifies its internal financial transactions and minimizes the need for multiple cash flows between subsidiaries. This can lead to increased efficiency, lower transaction costs, and improved cash management within the organization. Netting is commonly used in multinational corporations or conglomerates with multiple subsidiaries to optimize financial operations and facilitate better coordination between various business units.
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Solve by substitution (show work pls)
y= 2x-2
-3x+4y=-23
Answer:
x = -3 y = -8 (-3,-8)
Step-by-step explanation:
first you would subsitute the y with (2x-2) in -3x+4y=-23 as y=2x-2
giving you-3x+4(2x-2)=-23
next you distribute the 4 to (2x-2) leaving you with -3x+8x-8=-23
then add -3x+8x to get 5x, having 5x-8=-23
add 8 to both sides canceling out 8 on one side and adding 8 to the other leaving you with 5x=-15 then you divide 5 from 5x to both sides leaving you with x = -3
next is y since you have x you would substitute the x in y=2x-2 with -3 getting y=2(-3)-2 then you multiply the 2 and -3 so you have y=-6-2 then you subtract those getting y = -8
HELP I NEED HELP ASAP
Answer:
C
Step-by-step explanation:
the first person's grows in a line/ with a slope and the second persons grows with a growth rate (the percent).
Answer:
C
Step-by-step explanation:
and forvthe explination the other person explained pretty well
17. A glider lands 26 miles west and 12 miles south from where it took off. The result of the trip
can be described by the vector (-26, -12).
What is another description of this vector using distance (for magnitude) and direction?
about 29 miles at 25° south of west
about 25 miles at 29° south of east
about 29 miles at 25° south of east
about 25 miles at 29° south of west
By finding the magnitude and bearing, we conclude that the correct option is:
"about 29 miles at 25° south of west"
How to write the vector in polar coordinates?For a vector (x, y), the polar coordinates are the magnitude R and the bearing θ.
Such that:
\(R = \sqrt{x^2 + y^2} \\\\\theta = Atan(y/x)\)
In this case, the original vector is (-26, -12), replacing that we get:
\(R = \sqrt{(-26)^2 + (-12)^2} = 28.6 \\\\\theta = Atan(-12/-26) = 24.7\°\)
Where the angle is measured from the negative x-axis counterclockwise, so it is South of West.
Then we can describe this vector as:
"About 29 miles at 25° south of west".
The first option is the correct one.
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A fish is swimming at a constant rate towards the ocean floor. The equation y = -5x – 9 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming. Which statement best describes the depth of the fish, given this equation? Answer
The statement best describes the depth of the fish is that from starting position of 9 meters below sea level, the fish is descending 5 meters per second
How to determine the statement that best describes the depth of the fish?
In order to know which statement best describes the depth of the fish, we have to first understand what the equation means:
Given: the equation y = -5x – 9
This can be likened to the equation of a straight line, which is of the form y =mx +c,
where m is the slope and c is the y-intercept
Comparing the given equation with the equation of a line :
y = -5x – 9
Slope(m) = -5 and y-intercept(c) = -9
The y-intercept represents the starting while the slope is the rate of descend
Therefore, what this means is that from starting position of 9 meters below sea level, the fish is descending 5 meters per second.
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The perimeter of this kite is 102 cm. What is the value of n? n+ 3cm, n cm, n+ 3cm, n+ 3cm
By using the perimeter of the kite, we will see that the value of n is:
n = 23.25
How to get the value of n?
We assume that the measures of the 4 sides of the kite are:
n + 3cm
n cm
n + 3cm
n + 3cm
So we have 3 equal sides and one shorter. And we know that the perimeter is equal to 102cm.
Then we can write the equation:
(n + 3) + n + (n + 3) + (n + 3) = 102
4n + 9 = 102
4n = 102 - 9 = 93
n = 93/4 = 23.25
The value of n is 23.25
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Rose plz. give me chance to explain
Answer:
who is Rose
Step-by-step explanation:
You have 8 names of people on a list. If you randomly chose pairs of two's, how many potential pairs are there?
Answer:
56
Step-by-step explanation:
Because there are 8 names and when you choose a name there are 7 people that can be a pair so 7*8=56
The horse racing record for a 1.50-mi track is shared by two horses: Fiddle Isle, who ran the race in 147 s on March 21, 1970, and John Henry, who ran the same distance in an equal time on March 16, 1980.What were the horses' average speeds in a) mi/s? b) mi/h?
The horses' average speeds are approximately:
(a) mi/s: 0.0102 mi/s
(b) mi/h: 58.06 mi/h
To calculate the horses' average speeds, we need to calculate the speed as distance divided by time.
We have:
Distance: 1.50 miles
Time: 147 seconds
(a) To calculate the average speed in mi/s, we divide the distance by the time:
Average speed = Distance / Time
Speed of Fiddle Isle = 1.50 miles / 147 seconds ≈ 0.0102 mi/s
Speed of John Henry = 1.50 miles / 147 seconds ≈ 0.0102 mi/s
(b) To calculate the average speed in mi/h, we need to convert the time from seconds to hours:
Average speed = Distance / Time
Since 1 hour has 3600 seconds, we can convert the time to hours:
Time in hours = 147 seconds / 3600 seconds/hour
Speed of Fiddle Isle = 1.50 miles / (147 seconds / 3600 seconds/hour) ≈ 58.06 mi/h
Speed of John Henry = 1.50 miles / (147 seconds / 3600 seconds/hour) ≈ 58.06 mi/h
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Why does -3.6 -(-4) have the same result as -3.6 + 4?
A company needs to package 2,400 pencils. A box in the shape of a rectangular prism can hold 60 pencils. A cylindrical container can hold 80 pencils. Each box costs the company $0.50, while each cylindrical container costs $0.75.
Which packaging should the company use to minimize cost? Explain.
The rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers.
The cylindrical containers should be used because they will cost the company $2.50 less than using the rectangular boxes.
The rectangular prism boxes should be used because they will cost the company $5.00 less than using the cylindrical containers.
The cylindrical containers should be used because they will cost the company $5.00 less than using the rectangular boxes.
The rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers. (option A).
Which box should be used?The first step is to determine the number of each type of box shape that would be needed for the pencils.
Number of rectangular prism boxes that would be needed = total number of pencils / capacity of the box
Number of rectangular prism boxes that would be needed = 2400 / 60 = 40 boxes
Number of cylindrical boxes that would be needed = total number of pencils / capacity of the box
Number of cylindrical boxes that would be needed = 2400 / 80 = 30
Now determine the total cost of using each type of box shape.
Total cost of using the cylindrical boxes = 30 x 0.75 = $22.50
Total cost of using the rectangular prism boxes = 40 x 0.50 = $20
Difference in cost = $22.50 - $20 = $2.50
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Answer:
^^ A on edge
Step-by-step explanation:
it takes 2 hours to bake 8 sheets of cookies. if Brandom and his mother boeing baking at 4:00 pm, when will they finish baking the cookies
Find the initial value, final value, and initial slope when this system is subjected to a unit step input, u(t) = 1(t).
- The initial value is 0 since the system is at rest , the final value is 1 after the input is applied, the initial slope is undefined as there is an instantaneous change from 0 to 1 at t = 0.
The initial value refers to the value of the system at time t = 0. It represents the system's behavior before the unit step input is applied. In this case, since the system is subjected to a unit step input u(t) = 1(t), which means it jumps from 0 to 1 at t = 0, the initial value is 0.
The final value refers to the value of the system at a very large time, approaching infinity. It represents the steady-state behavior of the system after it has settled down. In this case, when the unit step input is applied, the system reaches a final value of 1, as it stays at that value indefinitely.
The initial slope refers to the rate of change of the system at t = 0. It represents how the system responds to the sudden change in input. In this case, since the unit step input causes an immediate jump from 0 to 1, the initial slope is undefined. This is because the system experiences an instantaneous change and there is no slope to describe the behavior at t = 0.
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The given system is subjected to a unit step input, u(t) = 1(t). To find the initial value, final value, and initial slope, we need to analyze the system's response over time.
1. Initial value: The initial value of the system is the output value at t = 0. To find it, we evaluate the output of the system when the input is u(t) = 1(t) at t = 0.
2. Final value: The final value of the system is the output value as time approaches infinity. In this case, as the unit step input u(t) = 1(t) remains constant after t = 0, the system will eventually settle into a steady-state response. We can find the final value by evaluating the output at a sufficiently large time.
3. Initial slope: The initial slope is the derivative of the output with respect to time at t = 0. We can find it by taking the derivative of the system's response equation with respect to time and evaluating it at t = 0.
Remember that the specific system's response equation and properties are needed to provide a more accurate analysis.
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-2(4x - 4) + x
Need help
Show work
Answer:
Distribute:
=(−2)(4x)+(−2)(−4)+x
=−8x+8+x
Combine Like Terms:
=−8x+8+x
=(−8x+x)+(8)
=−7x+8
Step-by-step explanation:
Answer:
x
2
−4x+4=0
To solve the equation, factor x
2
−4x+4 using formula x
2
+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.
a+b=−4
ab=4
Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 4.
−1,−4
−2,−2
Calculate the sum for each pair.
−1−4=−5
−2−2=−4
The solution is the pair that gives sum −4.
a=−2
b=−2
Rewrite factored expression (x+a)(x+b) using the obtained values.
(x−2)(x−2)
Rewrite as a binomial square.
(x−2)
2
To find equation solution, solve x−2=0.
x=2
Step-by-step explanation:
hope this helped heres a graph
THIS IS A SYSTEMS OF EQUATIONS QUESTION-
the sum of two numbers is 53. if their difference is 25, find both numbers.
Answer: Equation 1, sum of the numbers: x + y = 53. Equation 2, difference of the numbers: x - y = 25. System of equations: x + y = 53. x - y = 25. 2x = 78.
Step-by-step explanation:
there you go
15 - 2b = -9
What does b equal
Answer:
clt
15+9=2b
24=2b
dbs by 2
24/2=2b/2
b=12
a)
3 x a x 2 x b
b)
с^5 х с
c) 2y^4 x 5y^3
d) 3gh? x 4g^3h^3
Answer:
a)6ab
b)5c
c)
Step-by-step explanation:
a)3×2=6 and a×b=ab
then 6×ab=6ab
Which is the slope-intercept equation of the line shown?
X=2
Y=2
Y=2r
X=2y
Answer:
Step by step explanation:
A line is intersecting Point (0,2) and (1,2)
(x1,y1) = (0,2)
(x2,y2) = (1,2)
(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)
(y - 2)/(2 - 2) = (x - 0)/(1 - 0)
(y - 2)/0 = x/1
UNDEFINED
A line have no slope. It was y = 2
Option → B
Pls help!!!!
30 cm = m
Answer:
I assume that "m" means meters. If so it would be 0.3 meters
Step-by-step explanation:
FIND THE DOMAIN AND THE RANGE.
Find the equation for the plane tangent to each surface z = f(x, y) at the indicated point. z = x2 + y3 - 6xy, at the point (1, 2, -3)
The equation for the plane tangent to each surface - -10x + 6y + z - 5 = 0
What is Plane Tangent?
a tangent is a line that touches a curve at exactly one point without intersecting it. Similarly, a plane tangent is a plane that touches a surface at only one point without intersecting it further. This concept is commonly used in calculus and differential geometry to study the behavior of curves and surfaces.
We usually use partial derivatives of the equation of the surface to find the equation of the plane tangent to the surface at a point. The normal vector to the surface at that point is obtained by taking the cross product of the partial derivatives evaluated at that point. Then, using the coordinates of the point and the normal vector, we can determine the equation of the plane using the point-normal form or the general form of the plane equation.
It is important to note that the tangent plane equation depends on the specific point on the surface where the tangent plane is desired. Different points on the surface will have different tangent planes associated with them.
To find the equation for the plane tangent to the surface z = f(x, y) at a point (a, b, c), we need to use the partial derivatives of f with respect to x and y at the point (a, b) to find the normal vector to the plane.
Then we can use the point-normal form of the equation of a plane to write the equation.
First, we need to find the partial derivatives of f(x, y) = x^2 + y^3 - 6xy with respect to x and y:
fx = 2x - 6y
fy = 3y^2 - 6x
Then we can evaluate these partial derivatives at the point (1, 2) to get the normal vector:
n = <fx(1, 2), fy(1, 2)> = <2(1) - 6(2), 3(2)^2 - 6(1)> = <-10, 6>
So the equation of the plane tangent to the surface z = f(x, y) = x^2 + y^3 - 6xy at the point (1, 2, 3) is:
-10(x - 1) + 6(y - 2) + (z - 3) = 0
Simplifying, we get:
-10x + 6y + z - 5 = 0
So the equation of the plane tangent to the surface z = x^2 + y^3 - 6xy at the point (1, 2, 3) is -10x + 6y + z - 5 = 0
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Help please help please
Answer:
the answer is a
Step-by-step explanation:
so w^2 would equal -25, then 3w would be -15
so you would then do -25-15-11
Evaluate the expression when x = 4 and y = 5.
3x2 + 4y0 • x –1
Answer:
60
Step-by-step explanation:
The evaluated expression of 3x² + 4y⁰(x - 1) when x = 4 and y = 5 is 60.
What is Substitution?
Substitution simply means to put in place another. Therefore, let's substitute the value of x and y in the mathematical expression.
3x² + 4y⁰(x - 1)
Therefore,
y⁰ = 1
3x² + 4y⁰(x - 1)
3x² + 4y⁰(x - 1)
3x² + 4(x - 1)
3x² + 4x - 4
Therefore, when x = 4 and y = 5
3(4)² + 4(4) - 4
48 + 16 - 4 = 60
HOPE THIS HELPED!
Answer:
B
Step-by-step explanation:
Which of the following shapes are quadrilaterals?
please help asap I'll make brainliest
Explanation:
A quadrilateral has four sides, and each side is a straight line.
Quad = 4
Lateral = side
This means we go for choices A and C.
Choice B is ruled out because of the curved side on the right.
Choice D is ruled out because it has 5 sides instead of 4.
An equilateral triangle has a side length of 30.
Another side of the same triangle measures 3x + y.
The third side of the same triangle measures 4x - 2y.
What are the values of x and y that would keep the triangle equilateral?
Answer:
x=9
y=3
Step-by-step explanation:
since all three sides of an equlateral triangle are equal:
3x+y=30 then y=30-3x
4x-2y=30
4x-2(30-3x)=30
4x-60+6x=30
10x=90
x=9
3x+y=4x-2y
x=3y
y=3