if this interconnection line runs diagonally from one corner to the other corner of a 10mm x 10mm silicon integrated die, what is the resistance of the line of 1μm thick and 5μm wide?

Answer:

A

Step-by-step explanation:

half circle diameter = 9-(-1) =10

so perimeter = 2π r=20π =62.8

1/2 of it = 31.4

triangle 3 sides: 10, 4.5

10²+4.5² = long line's sqaure

so long line is 11

so perimeter for triangle without the line shared with semicircle = 11+4.5 =15.45

total =31.4+15.45 =46.85

Answer:

D. Use the equivalent ratio in lowest terms to plot the numerator on the x-axis and the denominator on the y-axis, then connect the two points.

Answer:

Area of the composite figure is 516

Step-by-step explanation:

picture above

Answer:

8 multiplied by 5 equals 40.

8 is a factor of 40.

40 can be divided by 8 with no remainder.

Step-by-step explanation:

To find the volume and surface area of three-dimensional shapes, you can use the following formulas:

Rectangular Prism:

Volume: V = lwh (l = length, w = width, h = height)

Surface Area: A = 2lw + 2lh + 2wh

Right Cylinder:

Volume: V = πr^2h (r = radius, h = height)

Surface Area: A = 2πrh + 2πr^2

Right Pyramid:

Volume: V = (1/3)Bh (B = base area, h = height)

Surface Area: A = B + pl (B = base area, l = slant height)

Given the volume or surface area, you can find the side lengths, radius, or diameter of a three-dimensional figure by solving the formulas for the desired variable.

For example, if you are given the volume of a cylinder and want to find the radius, you can use the formula for the volume of a cylinder and solve for the radius:

V = πr^2h

r^2 = V / (πh)

r = √(V / (πh))

In a similar manner, you can find the side lengths, radius, or diameter of any three-dimensional shape by using the relevant formulas and solving for the desired variable.

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Based on the chord of a circle theorem, the length of Ef is: 33.

If the arcs of a circle have the same measurement, then their corresponding chords will also have the same measurement based on the chord of a circle theorem.

Therefore, since arcs CD and EF are congruent, then:

CD = EF

Substitute and find x:

-2x + 41 = 7x + 5

-2x - 7x = -41 + 5

-9x = -36

-9x/-9 = -36/-9

x = 4

Length of EF = 7x + 5 = 7(4) + 5

Length of EF = 33 units.

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Answer:

x=0

Step-by-step explanation:

xx(x^2+121)=0

x=0

x^2+121=0

x=0

The data set represented by the modified box plot is: 92, 88, 100, 136, 106, 79, 88, 86, 98, 115.A graphical depiction of a set of numerical data is a modified box plot.

The figure is made by drawing a box between the data's upper and lower quartiles with whiskers extending from each end of the box to the minimum and maximum values. The median is represented by the vertical bar inside the box.

In this scenario, the data is displayed on a number line with a whisker spanning from 79 to 115 and a range of 70 to 140 in 5 increments. The box runs from 88 to 106, with 95 being the median.

The single dot mark above 136 is an anomaly. The values in the data set are: 92, 88, 100, 136, 106, 79, 88, 86, 98, 115.

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Answer:

≈84,13%

Step-by-step explanation:

To find the probability of a student liking between 5.5 and 8.5 songs from Eminem, we need to find the standard normal deviate (z-score) for each of these values and then use a standard normal table to find the area between these z-scores.

For 5.5 songs:

z = (5.5 - 7.0) / 1.5 = -1.0

For 8.5 songs:

z = (8.5 - 7.0) / 1.5 = 1.0

The area between -1.0 and 1.0 on a standard normal distribution table is approximately 0.8413. This means that the probability of an individual student liking between 5.5 and 8.5 songs from Eminem is approximately 84.13%.

The coordinates of the midpoint of line CD is (17, 21).

A midpoint is a point that is equidistant from the endpoints of a line segment. It is the point that is exactly halfway between the two endpoints of the line segment.

The midpoint of a line segment is found by taking the average of the x-coordinates and the y-coordinates of the endpoints of the line segment. The coordinates of the midpoint can be determined using the formula below.

midpoint (x, y) = (x₁ + x₂/2, y₁ + y₂/2)

If point C has coordinates (24, 16) and point D has coordinates (10, 26), then the midpoint is:

midpoint (x, y) = (24 + 10/2, 16 + 26/2)

midpoint (x, y) = (34/2, 42/2)

midpoint (x, y) = (17, 21)

Therefore, the midpoint of line CD has the coordinates (17, 21).

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Answer:

[tex]600[/tex]

[tex] 6 \times {10}^{2} [/tex]

Answer:

To find the equation of a line that passes through two given points, we can use the point-slope form of a line.

The first step is to find the slope of the line. We can do this by using the formula:

m = (y2 - y1) / (x2 - x1)

Plugging in the values for the two given points:

m = (3 - (-2)) / (6 - 4) = 5 / 2

Next, we can use the point-slope form of a line to find the equation of the line:

y - y1 = m (x - x1)

Plugging in the values we have:

y - (-2) = 5/2 (x - 4)

Expanding the right side:

y + 2 = 5/2 x - 4

Multiplying both sides by 2:

2y + 4 = 5x - 8

Adding 8 to both sides:

2y + 12 = 5x

Dividing both sides by 2:

y + 6 = 2.5x

So the equation of the line that passes through the points (4, -2) and (6, 3) is y + 6 = 2.5x.

The probability of drawing 2 successive red pens is [tex]\frac{1}{66}[/tex]

Probability is a branch of mathematics that deals with the likelihood or chance of an event happening. It is a number between 0 and 1 that indicates the likelihood of an event occurring, with 0 meaning that an event is impossible and 1 meaning that an event is certain to occur.

Probability is used to model and make predictions about real-world situations such as the outcome of a coin flip, the results of a survey, or the success of a marketing campaign. It is also used in many fields including statistics, finance, engineering, and sciences to make decisions based on uncertain data.

Probabilities can be calculated using various methods, such as counting, Bayes' theorem, and simulation. In general, the probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

The probability of drawing a red pen on the first draw is 2/12 = 1/6. After the first red pen is drawn, there is 1 red pen left in the bag, so the probability of drawing another red pen is 1/11.

Therefore, the probability of drawing 2 successive red pens is 1/6 * 1/11 = 1/66.

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The value of [tex]a_{4} = 91[/tex]

We have to find value of [tex]a_{4}[/tex].

A sequence is a collection of elements that are arranged according to a specific pattern.

Arithmetic sequence is a sequence where each consequtive term has a common constant difference.

Now,

Given that value of [tex]a_{1} = 4[/tex]

[tex]a_{n} = 4a_{n-1} -1 - 4[/tex]

Then to find value of [tex]a_{4}[/tex], we can find a_{2} , a_{3} as;

[tex]a_{2} = 4(a_{1} ) - 1-4\\a_{2} = 4(3) - 1 - 4 = 11[/tex]

[tex]a_{3} = -4(a_{2} ) - 1\\4(11) - 1 - 4 = 39[/tex]

Hence, the value of [tex]a_{4}[/tex] as;

[tex]a_{4} = 4(a_{3} ) - 1-4\\a_{4} = 4(-39) -1 -4\\a_{4} = 91[/tex]

Therefore, The value of [tex]a_{4}[/tex]= 91.

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Answer:

x = 9/2, y = 15/4

Step-by-step explanation:

The line intersecting two distinct points on both sides of the triangle are parallel

So the corresponding angles are equal
Also, we have a common angle at point A
So, both the triangles are similar by AAA criteria

Now, the sides will be proportional as the triangles are similar
4/7 = 5/5+y = 6/6+x
Solving this, we get y = 15/4 units
and x = 9/2 units

The temperature in Chicago at afternoon is 16 °F if Overnight, the temperature in Chicago was just 7°F. But by the afternoon, the temperature had risen 9°F.

What is relation between celsius to fahrenheit ?

The relation between celsius to fahrenheit  is (0°C × 9/5) + 32 = 32°F .

Given,

Overnight, the temperature in Chicago was just 7°F.

But by the afternoon, the temperature had risen 9°F.

So, given there was rise in the temperature

so,

the temperature in chicago could be = 7 + 9

= 16

Therefore, The temperature in Chicago at afternoon is 16 °F if Overnight, the temperature in Chicago was just 7°F. But by the afternoon, the temperature had risen 9°F.

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The trigonometry function represented on the graph is

Sine waves or sinusoidal waves are the graphs of functions that are defined by the equation y = sin x.

The graph repeats itself as it advances along the x-axis, as you can see. Periods are the cycles of this predictable repetition. Every 6.28 units, or 2 pi radians, this graph repeats.

How to interpret sine graph

The sine graph in the problem starts at (0, 0)

The equation is y = -0.5 sin (4x - π/2 ) - 1

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a) In 1 hour, 32 tables / 8 hours = 4 tables are produced in an hour.

b) In 3 days, 32 tables/day * 3 days = 96 tables are produced in 3 days.

c) In a 5-day week, 32 tables/day * 5 days = 160 tables are produced in a 5-day week.

d) 6 minutes hours: Not a valid unit of time to perform the calculation. Showing work is not applicable.

What is an example of a unitary method?

We can use the unitary approach to calculate 100% of an amount. For instance, if 10% of the marbles in a pot are 35, then the total number of marbles in the pot will be 35 x 10%, or 350.

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Simply multiply each value of the discrete random variable by the probability associated with that value to obtain the expected value, E(X), or mean. E(X)=xP is the formula's notation (x).

How do you find ex and Var X?

It is common to refer to the long-term average or mean (symbolized as ) as the expected value of a discrete random variable X, denoted by the symbol E(X).

Thus, if you conducted an experiment again throughout time, you could anticipate this average result. If you toss three fair coins, for instance, let X be the number of heads you receive.

The expected value of X is the average number of heads you would anticipate receiving after three fair coin tosses if you were to perform this experiment a significant number of times.

f(x) = 4x³,0 < x < 1

Domain of f(x) = 4x³,0 < x < 1 : Solution : 0 < x < 1

Interval notation : (0,1)

Range of 4x³ ,0 < x < 1;

Solution : 0 < f(x) < 4

Interval Notation : (0,4)

Axis interception points of 4x³,0 <x <1.

Asymptotes of 4x³. 0 < x < 1;

Extreme Points of 4x³ . 0<x < 1:

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Answer:

x = 13

Step-by-step explanation:

x² = 5² + 12²

x² = 169

x = √169 = 13

The radius of this disk r is ± 9 √(1 - 2x^2).

The radius of the disk created by rotating the strip of width δx around the x-axis can be found using the Pythagorean theorem. Consider a right triangle with the horizontal leg equal to δx, the vertical leg equal to the height of the strip (which is equal to 9 - 9x^2), and the hypotenuse equal to r. We have:

δx^2 + (9 - 9x^2)^2 = r^2

Expanding and simplifying the square on the right-hand side, we get:

δx^2 + 81 - 162x^2 + 81x^4 = r^2

Since δx is infinitesimal, we can neglect it compared to 81 and 162x^2. Thus,

r^2 ≈ 81 - 162x^2

Taking the square root of both sides, we get:

r ≈ ± 9 √(1 - 2x^2)

where the positive sign corresponds to the upper half of the disk and the negative sign corresponds to the lower half.

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Step-by-step explanation:

The probability of getting at least two heads among all four tosses, given that at least one head came up among the first two tosses is given as follows:

p = 5/6.

A probability is given by the division of the number of desired outcomes by the number of total outcomes.

Four the toss of four fair coins, the 16 total outcomes are given as follows:

There are 12 outcomes that result in at least one heads during the first two trials.

Among those, 10 outcomes result in at least two heads, hence the probability is defined as follows:

p = 10/12

p = 5/6.

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120  multiplied by 56% equals 67.2 students.

The number 67 becomes the result of rounding to the nearest whole number, which is 67.2.

A collection of positive integers and zero, whole numbers are numbers without fractions. The set of integers are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,... and it is denoted by the sign "W". Whole Numbers: W = 0 through 10 (inclusive).

Absolute numbers those figures that contain zero and natural integers. neither a fraction nor a decimal. {0, 2, 3, 4, 5 6, 7, 8, 9,10, 11 …} Integer. A counting number, zero, or the negative.

The number of students who failed can be calculated by multiplying the total number of students by the percentage that failed:

120 students * 56% = 67.2 students

Rounding to the nearest whole number, 67.2 students becomes 67 students.

So, 67 students failed in the 6th grade.

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Answer:

C :minimum value of -4

Step-by-step explanation:

the curve is a u shape so its a minimum value

if its a n shape it wouldve been a maximum value

the curve goes on -4 so its -4

The domain of the given function f(x) is = [-7,∞)∩(R-{3/4}).

The domain of a function is the collection of all conceivable values that can be used as inputs, or alternatively, it is the full range of potential values for independent variables. The domain is indicated by the fact that the fraction's denominator is not equal to zero and by the fact that the digit under the square root bracket is positive. (For a function that has fractional values.)

The domain of the function. f(x)=√(7 +x)/(-4 +3x)

[tex]f(x)=\frac{\sqrt{(7+x)}}{(-4+3x)}[/tex]

The domain of  [tex]\sqrt{7+x}[/tex]  is [-7,∞)

and the domain of -4+3x  is R-{4/3}

the domain of the given function f(x) is = [-7,∞)∩(R-{3/4})

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Answer:

x(x + 2)

Step-by-step explanation:

x² + 2x ← factor out the common factor x from each term

= x(x + 2)

Therefore , the solution of the given problem of scale factor comes out to be new coordinate is (-4,5).

To determine a dilated figure's scale factor, use the following simple formula: Scale factor is the product of the old shape's dimension and the new shape's dimension. A reduction is a scale factor that is more than zero but less than one, or 0 x 1.

Here,

Given :

=>  dilation maps (2,3) to (4,6)

=> √(4-2)² + (6-3)²

=> √4 + 9

=>√13

Scale factor of dilation is :

=> 1/√13

and

=> (-6,3)

=> new coordinate is (-4,5)

Plot DEF with a scale factor of 2 with the origin (0,0) as the centre of dilation. To determine the new coordinates, add the scale factor of 2 to each x and y coordinate value as indicated in the formula above.

Therefore , the solution of the given problem of scale factor comes out to be new coordinate is (-4,5).

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If ln(x) = 3.23 , the value of x is 25.28.

Therefore the answer is 25.28.

If ln(x) = 3.23, then x can be found by using the exponential function.

The natural logarithm function, represented by ln(x), gives the power to which e (approximately equal to 2.71828) must be raised to equal x. So, if ln(x) = 3.23, it means that e^3.23 = x.

The exponential function is the inverse of the natural logarithm, so if ln(x) = 3.23, then

x = e^(ln(x))

= e^(3.23).

Using a calculator, we can find that e^(3.23) ≈ 25.28.

So, the value of x is approximately 25.28.

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The required number of rhombi that can be made through two adjacent triangles is 300 rhombi.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
The given figure grid consists of 25 small triangles,
Since to make a rhombus we have to add 2triangles.
So the number of ways rhombi can be formed from 25 triangles
= 25C2
= 25!/2!

= 300 rhombus

Thus, the required number of rhombi that can be made through two adjacent triangles is 300 rhombi.

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