Given:
Inductor value = 125 millihenries
2% tolerance
Minimum value is:
\(\begin{gathered} =\frac{98}{100}\times125 \\ =122.5 \end{gathered}\)Maximum value is:
\(\begin{gathered} =\frac{102}{100}\times125 \\ =127.5 \end{gathered}\)find the marked angle of
Answer:
∠ C = 100°
Step-by-step explanation:
since 2 sides of the triangle are congruent then the triangle is isosceles with base angles congruent.
consider the angle inside the triangle to the left of 140°
this angle and 140° are a linear pair and sum to 180°
angle + 140° = 180° ( subtract 140° from both sides )
angle = 40°
then the angle on the left of the triangle = 40° ( base angles congruent )
the sum of the angles in a triangle = 180° , so
∠ C + 40° + 40° = 180°
∠ C + 80° = 180° ( subtract 80° from both sides )
∠ C = 100°
Manufacturers were subdivided into groups by volume of sales. Those with more than $100 million in sales were classified as large; those from $50 to $100 million as medium size; and those between $25 and $50 million, and so on. Samples were then selected from each of these groups. What is this type of sampling called
Stratified random sampling is used to subdivided into groups by volume of sales.
According to the statements
Manufacturers are subdivided into groups by volume of sales. and for this Stratified random sampling is used.
Stratified random sampling is the technique used divide the population can be partitioned into subpopulations.
Thus, Stratified random sampling is used to subdivided into groups by volume of sales.
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Write an equation that represents the line plsss
Give the vertices of a triangle that 3 times as big as ABC if A(0,0), B(2,6), C(6,4). (centered at the origin)
Answer:
wndie xueu xr
Step-by-step explanation:
nx9rkc9emxirnx8rm
Fencing a Garden A determined gardener has 120 ft of deer-resistant fence. She wants to enclose a rectangular vegetable garden in her backyard, and she wants the area that is enclosed to be at least 800 ft2. What range of values is possible for the length of her garden?
The quadratic formula to find the roots:l = (60 ± √(60² - 4(1)(800))) / (2(1))simplify:l = (60 ± √(3600 - 3200)) / 2l = (60 ± √400) / 2simplify:l = 30 ± 10l = 20 or l = 40The length of the garden can be between 20 ft and 40 ft.
The area of a rectangle is the product of the length and width of the rectangle. We can use the formula to write an equation in terms of the length of the rectangle given that the area of the rectangle must be at least 800 ft²:A = lw800 = lwmultiply both sides by w:800/w = lWe know that the gardener has 120 ft of deer-resistant fence.
The perimeter of a rectangle is the sum of the lengths of all four sides of the rectangle. We can use the formula to write an equation in terms of the length of the rectangle given that the gardener has 120 ft of deer-resistant fence:P = 2l + 2w120 = 2l + 2wmultiply both sides by 1/2:60 = l + wsubtract l from both sides:60 - l = wWe want to find the range of possible values for the length of the garden
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Bd=7x bc =4×-29 cd=5×-9
Whats x?
Given the length of segment BD, BC and CD, the numerical value of x is 19
What is the numerical value of x?Given the data in the question.
BD is a line segment, C is a point on the line segment BD.
Segment BD = 7xSegment BC = 4x - 29Segment CD = 5x - 9Since C is a point on segment BD
BD = BC + CD
We plug in the given values.
7x = (4x - 29) + ( 5x - 9 )
Collect like-terms
7x = 4x + 5x - 29 - 9
7x = 9x - 38
9x - 7x = 38
2x = 38
x = 38/2
x = 19
Given the length of segment BD, BC and CD, the numerical value of x is 19
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What is the final amount if 672 is decreased by 12% followed by a further 5% decrease?
Give your answer rounded to 2 DP.
Answer:
561.79
Step-by-step explanation:
672 * (100-12)/100 = 591.36
591.36 * (100-5)/100 = 561.792
Find the lateral surface area of the figure.
The evaluated lateral surface area is 261.8 square meters, under the condition that the base length is 20 m and height is 13 m.
The lateral surface area of a cylinder is given by the formula 2πrh
Here,
r = radius of the base
h = height of the cylinder.
For the given case, the base length is 20 m and height is 13 m. Then the base length is stated instead of the radius, we have to evaluate the radius first.
The radius of a cylinder can be found applying the formula r = l/2π
Here,
l = base length.
So, staging l = 20 m
, we get
r = 20/(2π)
≈ 3.18 m
Now that we have received the radius and height, we can evaluate the lateral surface area applying the formula mentioned above.
Staging
r = 3.18 m
h = 13 m,
we get:
Lateral surface area
= 2πrh
≈ 261.8 m²
Then, the lateral surface area of the given cylinder is approximately 261.8 square meters.
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use calculus to find the volume of the following solid s: the base of s is the triangular region with vertices (0, 0), (3, 0), and (0, 2). cross-sections perpendicular to the y-axis are semicircles.
The volume of the solid S, where the base is a triangular region and cross-sections perpendicular to the y-axis are semicircles, can be found using calculus. The volume of S is (3π/8) cubic units.
In the first part, the volume of the solid S is (3π/8) cubic units.
In the second part, we can find the volume of S by integrating the areas of the cross-sections along the y-axis. Since the cross-sections are semicircles, we need to find the radius of each semicircle at a given y-value.
Let's consider a vertical strip at a distance y from the x-axis. The width of the strip is dy, and the height of the semicircle is the x-coordinate of the triangle at that y-value. From the equation of the line, we have x = (3/2)y.
The radius of the semicircle is half the width of the strip, so it is (1/2)dy. The area of the semicircle is then\((1/2)\pi ((1/2)dy)^2 = (\pi /8)dy^2.\)
To find the limits of integration, we note that the base of the triangle extends from y = 0 to y = 2. Therefore, the limits of integration are 0 to 2.
Now, we integrate the area of the semicircles over the interval [0, 2]:
V = ∫\((0 to 2) (\pi /8)dy^2 = (\pi /8) [y^3/3]\) (evaluated from 0 to 2) = (3π/8).
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The area of a circle is 25 pi feet squared what is the circumference of the circle
Answer:
The area of a circle is given as pi*r^2. Now the circumference of a circle is 2*pi*r = 2*pi*5 = 10*pi. The required circumference is 10pi or 31.42 units. Given the area of the circle is 25pi.
Step-by-step explanation:
Given the sequence -14,-6,-2,0,1 find the recursive formula
\(u_{2} = u_{1} + 8 \\ u_{3} = u_{2} + 4 \\ u_{4} = u_{3} + 2 \\ u_{5} = u_{4} + 1 \\ u_{6} = u_{5} + 0.5 \\ ....\)
\(u_{2} = u_{1} + 2 {}^{3} \\ u_{3} = u_{2} + 2 {}^{2} \\ u_{4} = u_{3} + 2 {}^{1} \\ u_{5} = u_{4} + 2 {}^{0} \\ u_{6} = u_{5} + 2 {}^{ - 1} \\ ....\)
\(u_{n + 1} = u_{n} + 2 {}^{4 - n} \)
Consider this system of equations.
p=2n
p-5 = 1. 5n
What value of n makes the system of equations true?
Enter your answer in the box.
Therefore, the value of n that makes the system of equations true is n = 10.
Given:
p = 2n
p - 5 = 1.5n
Substituting the value of p from the first equation into the second equation, we have:
2n - 5 = 1.5n
Next, we can solve for n by subtracting 1.5n from both sides of the equation:
2n - 1.5n - 5 = 0.5n - 5
Simplifying further:
0.5n - 5 = 0
Adding 5 to both sides of the equation:
0.5n = 5
Dividing both sides by 0.5:
n = 10
Therefore, the value of n that makes the system of equations true is n = 10.
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PLS HELPPP OMG PLSS WILL GIVE BRAINLIEST 5 STARS AND A THANKS
Answer:
x=-10
Step-by-step explanation:
2=-8-x
x=-8-2
=-10
Given the graph below, what points would partition XY into segments with lengths having a ratio of 3:4?Select two correct answers.
A: ( 3, -3)
B: ( 1, 0)
C: ( -3, 6)
D: ( -1, 3)
Please show how you got the answers.
The point that divides a line segment into two equal halves is known as the midway.
How do you identify the point dividing the segment?We can use a formula that incorporates some of the slope of the line segment to get the point P that partitions the line segment suitably given a line segment AB and a partitioning ratio a/b. P is thus defined as (x1 + c(x2 - x1), y1 + c(y2 - y1)).
P(x1, y1) and Q are two things to consider (x2, y2). Finding the coordinates of the point R that divides PQ in the ratio m: n is necessary because PR/RQ = m/n. Given the ratio, the point R can either be outside of the segment PQ or between P and Q.
Two points on a line, for instance, equal one line segment; three points, three segments; five points, ten segments.
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The centre of the circle is (3,a) and a point on the circumference is (6,-1). if the radius of the circle is 3 units , find the value of a
Answer: -1
Step-by-step explanation:
The one-to-one functions g and h are defined as follows.
The functions and their composites are g⁻¹(x) = -(x + 14)/3, (g o g⁻¹)(4) = g⁻¹(g(4)) = 4 and h⁻¹(-1) = -2
Evaluating the functions and their compositesThe one-to-one functions g and h are defined as follows.
g(x) = -3x - 14
Also, we have
h = {(-4, -1), (-2, -1), (1, -2), (4, 5)
Solving the functions expressions, we have
This means that we find the inverse of the function g(x)
So, we have
y = -3x - 14
x = -3y - 14
3y = -x - 14
y = -(x + 14)/3
So, we have
g⁻¹(x) = -(x + 14)/3
Next, we have
(g o g⁻¹)(4) = g⁻¹(g(4))
Using the rule
(g o g⁻¹)(x) = g⁻¹(g(x)) = x
We have
(g o g⁻¹)(4) = g⁻¹(g(4)) = 4
From the ordered pairs, we have
h⁻¹(-1) = -2
Hence, the value of h⁻¹(-1) is -2
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The coordinates (0, A) and (B, 0) lie on the line 2x - 3y = 6. What are the values of A and B? b) Use your answer to part a) to work out which line below is 2x - 3y = 6
25 points for the correct answer.
The values of A and B are -2 and 3 respectively, the line 2x - 3y = 6 is equivalent to the line x = 3.
To find the values of A and B, we can substitute the coordinates (0, A) and (B, 0) into the equation 2x - 3y = 6.
For the point (0, A):
2(0) - 3(A) = 6
0 - 3A = 6
-3A = 6
A = -2
So, A = -2.
For the point (B, 0):
2(B) - 3(0) = 6
2B = 6
B = 3
So, B = 3.
Therefore, the values of A and B are A = -2 and B = 3.
b) Now that we know the values of A and B, we can substitute them into the equation 2x - 3y = 6:
2x - 3y = 6
2x - 3(0) = 6 (substituting y = 0)
2x = 6
x = 3
So, the line 2x - 3y = 6 is equivalent to the line x = 3.
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The table shows the dimensions of three cylinders.
Cylinders
Radius (inches)
Cylinder
W
X
Y
3
4
4.5
Height (inches)
9
2
6
Which two cylinders have the same lateral surface area in square
inches?
The two cylinders that have the same lateral surface area are cylinders W and Y.
What is the lateral surface area of the cylinders?
The lateral surface area is the area of all the sides of a 3-dimensional shape without its base and top.
Lateral surface area of a cylinder = 2πrh
Lateral surface area of cylinder W = 2 x π x 3 x 9 = 27π
Lateral surface area of cylinder X = 2 x π x 4 x 2 = 16π
Lateral surface area of cylinder Y = 2 x π x 4.5 x 6 = 27π
Hence, the two cylinders that have the same lateral surface area are cylinders W and Y.
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ldhjahwkwueyebr. help pls
Answer:
34
Step-by-step explanation:
Triangle is an isosceles triangle, where two angles are the same. BA=BC
Answer:34
Step-by-step explanation:
its an isosceles triangle because two sides are equal
What is the answer for x?
Answer:
x = -5/7
Step-by-step explanation:
Groups of twenty to thirty people, composed of representatives
from multiple different subgroups will be able to work more
effectively than a group of six to eight people.
True or false
The statement suggesting that larger groups are more effective than smaller groups is false. Smaller groups tend to have better communication, efficiency, and individual participation.
The statement suggests that larger groups, specifically groups of twenty to thirty people with representatives from multiple subgroups, are more effective than smaller groups of six to eight people. However, this statement is generally considered false for several reasons:
Communication and coordination:Larger groups can face challenges in communication and coordination. With more members, it becomes more difficult to ensure effective information sharing, active participation, and clear decision-making. Small groups often have better communication and coordination due to fewer individuals involved.
Efficiency and productivity:Smaller groups tend to be more efficient and productive. In larger groups, there can be increased time spent on managing diverse opinions and reaching consensus, which can slow down the decision-making process and hinder productivity. Smaller groups can often make quicker decisions and accomplish tasks more efficiently.
Individual participation:Larger groups may result in reduced individual participation. Some members may feel less inclined to contribute or may be overshadowed by more dominant personalities. In smaller groups, each member can have a more significant impact and be actively engaged in the group's work.
Group dynamics and cohesion:Smaller groups tend to foster better group dynamics and cohesion. It is easier for members to develop strong relationships, trust, and a shared sense of purpose in smaller groups. Larger groups can struggle with maintaining cohesiveness and a sense of belonging.
While larger groups may have certain advantages, such as a broader range of perspectives and resources, the statement disregards the potential drawbacks of managing larger groups effectively. Overall, smaller groups often exhibit better communication, efficiency, and individual participation, making the statement false in general.
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Find a vector function, r (t), that represents the curve of intersection of the two surfaces. The cone z = squareroot x^2 + y^2 and the plane z = 3 + y r (t) =
The vector function that represents the curve of intersection of the cone and the plane is:
r(t) = [t, (t^2 - 9) / 6, √(t^2 + ((t^2 - 9)/6)^2)]
For a vector function that represents the curve of intersection between the cone and the plane, we need to set the equations of the cone and the plane equal to each other and solve for x, y, and z.
The cone equation is given as: z = √(x^2 + y^2)
The plane equation is given as: z = 3 + y
Setting these two equations equal to each other, we have:
√(x^2 + y^2) = 3 + y
To eliminate the square root, we can square both sides of the equation:
x^2 + y^2 = (3 + y)^2
x^2 + y^2 = 9 + 6y + y^2
Simplifying the equation, we have:
x^2 - 6y = 9
Now we can express x and y in terms of a parameter t to create the vector function r(t):
x = t
y = (t^2 - 9) / 6
Substituting these values back into the cone equation to find z:
z = √(x^2 + y^2) = √(t^2 + ((t^2 - 9)/6)^2)
Therefore, the vector function that represents the curve of intersection of the cone and the plane is:
r(t) = [t, (t^2 - 9) / 6, √(t^2 + ((t^2 - 9)/6)^2)]
Note that this is a parametric representation of the curve, where t is the parameter that determines points on the curve.
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Is the following number rational or irrational?
-2π
Choose 1 answer:
А
Rational
00
B
Irrational
Answer:
B, Irrational number
Step-by-step explanation:
Irrational number because
\(\pi\)
is Irrational number
How would you write the formula for the volume of a sphere with a radius of 3? A � ( 3 ) 2 π(3) 2 B 1 3 � ( 3 ) 2 3 1 π(3) 2 C 4 3 � ( 3 ) 3 3 4 π(3) 3 D � ( 3 ) 2 ℎ π(3) 2 h
The volume of the sphere is 4 π × 3 × h. Option C
How to determine the valueTo determine the expression, we need to know the formula for volume of a sphere.
The formula that is used for calculating the volume of a sphere is expressed as;
V = 1/3 πr²h
Given that the parameters of the formula are;
V is the volume of the spherer is the radius of the sphereh is the height of the sphereNow, substitute the values, we have;
Volume, V= 4/3 × π × 3² × h
Multiply the values, we get;
Volume =4 π × 3² × h/3
Divide the values
Volume =4 π × 3 × h
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Franco read 3 over 8 of a chapter of his history book in 1 over 5 of an hour. At this rate, how many chapters of his history book can he read in 1 hour?.
Franco can read approximately 1.875 chapters of his history book in 1 hour, assuming his reading rate remains constant.
Franco read 3/8 of a chapter in 1/5 of an hour. To find out how many chapters he can read in 1 hour, we need to first determine his rate of reading.
To do this, we can set up a proportion:
3/8 of a chapter = x chapters
1/5 of an hour = 1 hour
Cross-multiplying, we get:
3/8 * 1 hour = x * 1/5
Simplifying:
3/8 = x/5
Cross-multiplying again:
15/8 = x
So Franco can read 15/8 or 1 7/8 chapters in 1 hour.
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If y’all r smart, then answer this.
Please help..
Answer
just add everything but the answer is 130
The domestic violence study conducted in 1984 by Sherman and Berk had an ethical concern in that: O They financially profited from the research. O They did not adhere to special protections for vulnerable populations. O They potentially withheld a beneficial treatment. O They deceived their subjects.
In the 1984 domestic violence study conducted by Sherman and Berk, the ethical concern was that they potentially withheld a beneficial treatment.
The domestic violence study conducted by Sherman and Berk in 1984 raised an ethical concern in that they financially profited from the research. This raises the question of whether their motives were purely altruistic or whether they were driven by financial gain. Additionally, the study did not adhere to special protections for vulnerable populations such as women and children who may have been victims of domestic violence. This raises concerns about the validity and generalizability of the study's findings. Furthermore, the study potentially withheld a beneficial treatment, which raises questions about the ethical responsibility of researchers to ensure that their subjects receive the best possible care. Finally, there are also concerns that the researchers may have deceived their subjects, which raises questions about the integrity and transparency of the research process. In conclusion, the ethical concerns raised by this study highlight the need for researchers to carefully consider the impact of their research on vulnerable populations and to ensure that they adhere to the highest ethical standards.
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Donald plays with his wood cubes and decides to make pyramids.
He carries on with his pyramids and labels following the same pattern.
After making p4 donald realises that he only has 12 wood cubes left. How many more cubes will he need to make p5?
Donald would need to use 5 levels of cubes, So to make p5 he would need 25-12 = 13 more cubes.
What is pyramid?A pyramid is a structure with a square or triangular base and four triangular sides that meet at a point, called the apex. Pyramids were built by ancient civilizations, such as the Egyptians, as tombs for pharaohs and their queens.
What is pyramid levels?In the context of building pyramids with wood cubes, it seems like "pyramid levels" refers to the layers of cubes used to construct the pyramid. Each level is a layer of cubes that sits on top of the previous one, and the number of cubes in each level increases as you move up the pyramid. For example, in the case of p4, the base level would use 1 cube, the next level would use 4 cubes, the next level would use 9 cubes, and so on. The top level, which forms the apex of the pyramid, would use the most cubes. So the pyramid levels refer to the different layers of the pyramid and the number of cubes used in each layer.
To make a pyramid labeled p5, Donald would need to use 5 levels of cubes.
Donald uses 1 cube for the base of p4, 4 cubes for the next layer, 9 cubes for the next, 16 cubes for the next and 25 cubes for the top level.
So to make p5 he would need 25-12 = 13 more cubes.
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HURRYYYY PLEASEEEE
find the value of x.
Answer:
x=31
Step-by-step explanation:
Hello there!
the shown angles are supplementary meaning that the sum of the two is 180
so we create an equation
180=3x+25+2x
step 1 combine like terms
3x+2x
now we have
180=25+5x
step 2 subtract 25 from each side
180-25=155
now we have
155=5x
step 3 divide each side by 5
155/5=31
5x/5=x
we're left with x=31
~TheMathWiz
2 Which equation describes the function shown in
the table?
х
-2
-1
0
1
2
у
-1
2
5
8
11
A y = x + 5
By = 3x + 5
=
=
c y= 3x + 5
D y = 5x + 3
Jacob chose D as the correct answer. How did he get that
answer?
Answer:
lam at po
Step-by-step explanation:
sa points pa brainlist nalng po