Given circle E with diameter CD and radius EA. AB is tangent to E at A. If AC = 9 and AD = 4, solve for CD. Round your answer to the nearest tenth if necessary. If the answer cannot be determined, click "Cannot be determined."​

a).  2^38 bytes of memory

b). 12 bits

c). The maximum number of entries in the single-level page table would be 2^38.

d). The size would be 2^38 * 4KB, which equals 2^20 pages.

e). The maximum number of entries it can have depends on the remaining bits of the logical address.

f). The amount of bits required to denote an index into the inner page table is obtained by subtracting the offset and outer page index bits from the logical address.

a. To address a physical memory size of 128GB (2^37 bytes), a 64-bit architecture would require 38 bits for the logical address, allowing access to a maximum of 2^38 bytes of memory.

b. Given that the page size is 4KB (2^12 bytes), 12 bits would be needed to specify the displacement into a page. This means that the lower 12 bits of the logical address would be used for page offset or displacement.

c. With a single-level page table, the maximum number of entries would be equal to the number of possible logical addresses. In this case, since the logical address requires 38 bits, the maximum number of entries in the single-level page table would be 2^38.

d. The size of the single-level page table is determined by the number of entries it contains. Since each entry maps to a page of size 4KB, the size of the single-level page table can be calculated by multiplying the number of entries by the size of each entry. In this case, the size would be 2^38 * 4KB, which equals 2^20 pages.

e. For a two-level page table, the size of the outer page table is determined by the number of entries it can contain. Since the outer page table uses 4KB pages, the maximum number of entries it can have depends on the remaining bits of the logical address. The number of bits used for the index into the outer page table is determined by subtracting the bits used for the inner page index and the offset from the total number of bits in the logical address.

f. The number of bits used to specify an index into the inner page table can be determined by subtracting the bits used for the offset and the bits used for the outer page index from the total number of bits in the logical address. The remaining bits are then used to specify the index into the inner page table.

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a) If w = I, then we can write w = 0 + I. This means that x = 0 and y = 1. Using the polar form of a complex number, we can write z = r cos theta + I r sin theta. Since x = 0 and y = 1, we can write z = r cos theta + I r sin theta = 0 + I. This means that r cos theta = 0 and r sin theta = 1. Since cos theta = 0, theta = pi/2. Therefore, z = r cos (pi/2) = I.

b) To prove that w = (x^3+2x+y^3+y) + I (x+2y+2)/ (x+2)^2+y^2, we can substitute the values of x and y from the equation w = x + I y into the equation and simplify.

w = (x^3+2x+y^3+y) + I (x+2y+2)/ (x+2)^2+y^2
= (x^3+2x+y^3+y) + I (x+2y+2)/ (x^2+4x+4+y^2)
= (x^3+2x+y^3+y) + I (x+2y+2)/ (x^2+4x+4+y^2)
= (x^3+2x+y^3+y) + I (x+2y+2)/ (x^2+4x+4+y^2)
= w

Therefore, the equation is true.

c) When Re(w) = 1, this means that the real part of w is equal to 1. Therefore, x^3+2x+y^3+y = 1. We can rearrange this equation to get y^3+y = 1-x^3-2x. Taking the derivative of both sides with respect to x, we get 3y^2 dy/dx + dy/dx = -3x^2-2. Solving for dy/dx, we get dy/dx = (-3x^2-2)/(3y^2+1). This is the gradient of the line l_1.

d) Given that arg(z) = arg(w) = pi/4, this means that the angle of both z and w is equal to pi/4. Using the polar form of a complex number, we can write z = r cos (pi/4) + I r sin (pi/4) and w = s cos (pi/4) + I s sin (pi/4). Since the angles are equal, this means that r cos (pi/4) = s cos (pi/4) and r sin (pi/4) = s sin (pi/4). Therefore, r = s and z = w.

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A-The first line has a direction vector of ⟨-2, 1, 3⟩, b-the second line has parametric equations x(t) = -4 - 2t, y(t) = 2 + t, z(t) = 17 + 5t, c-the two lines intersect at the point (1, 3, 10), d-the angle formed is 15.2 degrees, and e- the equation containing both lines is -2x + 7y - 5z = -59.

What is direction vector ?

A direction vector, also known as a directional vector or simply a direction, represents the direction of a line, vector, or a linear path in three-dimensional space. It is a vector that points in the same direction as the line or path it represents.

a) The direction vector for the first line is given by ⟨-2, 1, 3⟩.

b) The parametric equations for the second line, written in terms of the parameter t, are x(t) = -4 - 2t, y(t) = 2 + t, z(t) = 17 + 5t.

c) To find the intersection point, we set the x, y, and z coordinates of both lines equal to each other and solve for s and t:

4 - 2s = -4 - 2t

-2 + s = 2 + t

1 + 3s = 17 + 5t

Solving this system of equations yields s = 3 and t = 1. Therefore, the two lines intersect at the point (1, 3, 10).

d) The angle formed at the intersection point is given by the angle between their respective direction vectors. Using the dot product, the angle θ can be found as cos(θ) = (⟨-2, 1, 3⟩ · ⟨-2, 1, 5⟩) / (|⟨-2, 1, 3⟩| |⟨-2, 1, 5⟩|), which simplifies to cos(θ) = 0.96. Taking the inverse cosine, we find θ ≈ 15.2 degrees.

e) To find the equation of the plane containing both lines, we can use the point-normal form of a plane equation. We choose one of the intersection points (1, 3, 10) and use the cross product of the direction vectors of the two lines as the normal vector. The equation of the plane is given by -2x + 7y - 5z = -59.

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Answer:

(B)\(-4\dfrac34$ meters\)

Step-by-step explanation:

For divers

Given a dive with a depth of  \(4\dfrac34$ meters\)

Since we already know that depths are written using negative numbers, divers would represent it as:

\(-4\dfrac34$ meters\)

The correct option is B.

The length of the UV is 3.7  feet.

All triangles have interior angles adding to 180°. When one of those interior angles measures 90°, it is a right angle and the triangle is a right triangle. In drawing right triangles, the interior 90° angle is indicated with a little square □ in the vertex.

In ΔUVW , The sides and angles are :

∠W = 90°

∠U = 61°

VW = 3 feet.

Let, taking UV be x

So, Accordingly to right angle triangle,ΔUVW

Sin ∠U = \(\frac{VW}{UV}\)

Sin 61° = \(\frac{3}{x}\)

Sin 61° ≈ 0.87

Plug the values in above formula:

x = \(\frac{3}{0.87}\)

x = 3.7

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Answer:

v=lxbxh

v=5x5x5

v=125cm

volume b

v=lxbxh

v=5x5x5

v=125cm

volume A+volume B

125+125=150

Step-by-step explanation:

you find the first one first then you find the second one then you add

Answer:

First cube

\( = {125}^{3} \)

second cube

\( = {125}^{3} \)

125 +125=250

Step-by-step explanation:

The formulas to find the volume of a cube are:

V = s3, where s is the edge length of the cube.

\(v = 5 \times 5 \times 5 = {125}^{3} \)

The probability that the gambler is winning money or even after 16 plays is 0.2184.

To determine the probability that the gambler is winning money or even after 16 plays, we need to analyze the possible outcomes and calculate the probabilities associated with each outcome.

Let's consider the different scenarios the gambler can encounter after 16 plays:

To calculate the total probability, we need to sum up the probabilities of all these scenarios. Mathematically, this can be represented as follows:

Probability = \((0.1)^1^6\) + (16 choose 1) * \((0.1)^1^5\) * (0.9) + (16 choose 2) * \((0.1)^1^4\) * \((0.9)^2\)+ ... + (16 choose 8) * \((0.1)^8\) * \((0.9)^8\)

By evaluating this expression, we find that the probability is approximately 0.2184.

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F(x - 7)=2x - 10

Step-by-step explanation:

F(x)=2x+4 translation 7 units left is given as:

\(F(x - 7)=2(x - 7)+4 \\ \\ F(x - 7)=2x - 14+4 \\ \\ \purple{ \boxed{F(x - 7)=2x - 10 }} \\ \\ \)

In a given year, an economy has 10 million unemployed workers and 120 million employed workers. This information provides a snapshot of the labor market and indicates the number of individuals who are currently without jobs and those who are employed.

The information states that in the given year, there are 10 million unemployed workers and 120 million employed workers in the economy. This data provides a measure of the labor market situation at a specific point in time.

Unemployed workers refer to individuals who are actively seeking employment but currently do not have a job. The number of unemployed workers can be an important indicator of the health of an economy and its ability to provide job opportunities.

Employed workers, on the other hand, represent individuals who have jobs and are currently working. The number of employed workers indicates the size of the workforce that is actively contributing to the economy through productive activities.

By knowing the number of unemployed and employed workers, policymakers, economists, and analysts can assess factors such as labor market conditions, unemployment rates, and workforce participation rates. This information is crucial for formulating policies, understanding economic dynamics, and monitoring the overall health and functioning of the economy.

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To calculate the engine size that represents the 10th percentile of a sample, we need a dataset of engine sizes and their corresponding frequencies or the values themselves.

Without that information, it is not possible to provide a specific answer. Percentiles are used to divide a dataset into 100 equal parts, with each percentile representing a specific percentage of the data. The 10th percentile represents the value below which 10% of the data falls.

To find the 10th percentile, you would need a dataset of engine sizes, sorted in ascending order. You would then identify the value that corresponds to the 10th percentile.

For example, if we had a dataset of engine sizes: 1.4L, 1.6L, 1.8L, 2.0L, 2.2L, 2.4L, 2.6L, 2.8L, 3.0L, 3.2L, 3.4L, and so on, we would arrange the values in ascending order and identify the value that corresponds to the 10th percentile.

Without the specific dataset or more information about the sample, it is not possible to calculate the engine size representing the 10th percentile.

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The area under the standard normal curve to the left of z = 2.06 is approximately 0.9803.

The normal distribution function, also known as the Gaussian distribution or bell curve, is a probability distribution that is symmetric, bell-shaped, and continuous. It is defined by two parameters: the mean (μ) and the standard deviation (σ).

The normal distribution is widely used in statistics and probability theory due to its many desirable properties and its applicability to various natural phenomena. It serves as a fundamental distribution for many statistical methods, hypothesis testing, confidence intervals, and modeling real-world phenomena.

To find the area under the standard normal curve to the left of z = 2.06, you can use a standard normal distribution table or a calculator with a normal distribution function. The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

Using a standard normal distribution table, the area to the left of z = 2.06 can be found by looking up the corresponding value in the table. However, since the standard normal distribution table typically provides values for z-scores up to 3.49, we can approximate the area using the available values.

The closest value in the standard normal distribution table to 2.06 is 2.05. The corresponding area to the left of z = 2.05 is 0.9798. This means that approximately 97.98% of the area under the standard normal curve lies to the left of z = 2.05.

Since z = 2.06 is slightly larger than 2.05, the area to the left of z = 2.06 will be slightly larger than 0.9798.

Therefore, rounding the answer to four decimal places, the area under the standard normal curve to the left of z = 2.06 is approximately 0.9803.

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So, the probability of winning the game by rolling a total of 2 or 5 with two fair number cubes is 1/9.

The probability of winning the game on your next turn by rolling a total of 2 or 5 with two fair number cubes is 1/9.

To calculate the probability of winning, we need to determine the number of favorable outcomes (rolling a total of 2 or 5) and divide it by the total number of possible outcomes when rolling two number cubes.

There are 36 possible outcomes when rolling two number cubes since each cube has 6 faces, resulting in 6 * 6 = 36 total outcomes.

Out of these 36 outcomes, there are three favorable outcomes: (1, 1), (1, 4), and (4, 1), where the sum of the numbers rolled is either 2 or 5.

Therefore, the probability of winning the game on your next turn is 3 favorable outcomes out of 36 possible outcomes, which simplifies to 1/12.

So, the probability of winning the game by rolling a total of 2 or 5 with two fair number cubes is 1/9.

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Answer:

y+4= -16(x-9)

Step-by-step explanation:

point slope form is y-y1=m(x-x1)

substitute y-(-4)= -16(x-9)

simplify y+4= -16(x-9)

The correct sign that makes the statement true is the less than sign (<). To determine which sign makes the statement \(\frac{38}{40} ? \frac{19}{20}\) true, we need to compare the values of the fractions.

First, let's simplify the fractions:

\(\frac{38}{40} = \frac{19}{20}\)

Since the numerators of both fractions are the same, we need to compare the denominators. In this case, we have 40 and 20.

The denominator 40 is greater than the denominator 20. Therefore, the fraction \(\frac{38}{40}\) is larger than the fraction \(\frac{19}{20}\).

To make the statement true, we need to use the less than sign (<):

\(\frac{38}{40} < \frac{19}{20}\)

Therefore, the correct sign that makes the statement true is the less than sign (<).

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if the installment option is used, the total amount paid over the 240-month term would be $1,080,000. This includes both the principal amount of $550,000 and the interest accumulated over the repayment period.

To determine the total amount if the installment option is used, we need to calculate the total repayment over the 240-month term.

The installment amount per month is $4,500, and the repayment term is 240 months.

Total repayment = Installment amount per month * Repayment term

Total repayment = $4,500 * 240

Total repayment = $1,080,000

Therefore, if the installment option is used, the total amount paid over the 240-month term would be $1,080,000. This includes both the principal amount of $550,000 and the interest accumulated over the repayment period.

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Answer:

x ≥ 250

Step-by-step explanation:

i think thats what it is, but i could be wrong. sorry if i am.

To make a triangular prism we need cardboard, glue and scissors.

A triangular prism is a geometric shape characterized by:

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Answer:

123

Step-by-step explanation:

Let 'x' = number of hamburgers.....then cheeseburgers = '2x'

  added together they = 369

x + 2x = 369

3x = 369

x = 123 hamburgers

Answer:

Solution given:

Annual salary;X

monthly salary:\( \frac{X}{12} \)

Monthly expenses:

Total:$12+391+50+100+119.98+75+10+387+178

=$1322.98

I have $X-$1322.98 left after I pay all expenses monthly.

We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.

To solve this problem, we can use the formula for the future value of an annuity:

\(FV = P * ((1 + r)^n - 1) / r\)

Where:

FV is the future value of the annuity

P is the periodic payment or deposit amount

r is the interest rate per period

n is the number of periods

In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).

We can rearrange the formula and solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Substituting the given values:

n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)

Using a calculator or software, we find that n ≈ 9.989.

Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.

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Answer:

Step-by-step explanation:

Simplify the numerator first

Since they have the same square root that's root 5 we can subtract them directly

That's

So we have

Reduce the expression with √5

We have the final answer as

Hope this helps you

Answer:

The length of the base will be: 17 m

Step-by-step explanation:

Given the area of the triangle

\(A=102\:m^2\)

Using the formula of Area of a triangle:

\(A=\frac{1}{2}\left(b\times h\right)\)

Here,

As the base of a triangle is 7 less than twice its height.

so

\(b=2h-7\)

so the formula of Area of a triangle becomes

\(102=\frac{1}{2}\left(\left(2h-7\right)\times \:h\right)\)

\(204=h\left(2h-7\right)\)

\(2h^2-7h=204\)

\(2h^2-7h-204=0\)

\(\left(2h+17\right)\left(h-12\right)=0\)

\(2h+17=0\quad \mathrm{or}\quad \:h-12=0\)

\(h=-\frac{17}{2},\:h=12\)

As height can not be negative, so:

\(h=12\) m

Hence, the length of the base:

\(b=2h-7\)

   \(= 2(12)-7\)

    \(=24-7\)

     \(= 17\) m

Therefore, the length of the base will be: 17 m

Answer:

1/-14 or -0.071428571428571

Step-by-step explanation

(-3,1) ___ -3 is x1 while 1 is y1

(-17, 2) ___ -17 is x2 while 2 is y2

slope formula is m = y2-y1/x2-x1

plug them in: m = 2-1/-17-(-3), which equals 1/-14 or -0.071428571428571

Answer:

Wellll

Step-by-step explanation:

Answer:

Step-by-step explanation:

A linear equation with two variables may appear in the form of Ax + By = C, and the resulting graph is always a straight line. The equation is more often in the form of y = mx+b, where m is the slope of the line of the corresponding figure and b is its Y-axis intercept, that is, the point where the line meets the Y-axis.

For example, 4x + 2y = 8 is a linear equation because it fits the desired structure. But for graphical and most other purposes, we often write this as y = - 2x + 4.

In this unit, on the basis of this linear equation, the equal sign is changed to the greater than a sign or less than sign, which is a new challenge in the operation of symbols.

Answer:

5.09

Step-by-step explanation:

Answer:

5.09

Step-by-step explanation:

The intrinsic value of the stock is $67.29, considering a dividend payment of $10, expected dividend growth rates of 13% and 11% for the next two years, and a future selling price of $88. The discount rate used in the calculation is 15%.

To calculate the intrinsic value, we need to determine the present value of future dividends and the future selling price of the stock. We can use the dividend discount model (DDM) to calculate the present value of dividends.

First, we calculate the present value of the dividend for the first year. Since the dividend is expected to grow at 13 percent, we can calculate it as follows:

Present value of first dividend = $10 / (1 + 0.15) = $8.70.

Next, we calculate the present value of the dividend for the second year, which is expected to grow at 11 percent:

Present value of second dividend = ($10 * (1 + 0.13)) / (1 + 0.15)^2 = $8.96.

Finally, we calculate the present value of the selling price of the stock:

Present value of selling price = $88 / (1 + 0.15)^2 = $60.63.

To find the intrinsic value of the stock, we sum up the present values of dividends and the present value of the selling price:

Intrinsic value = Present value of first dividend + Present value of second dividend + Present value of selling price

Intrinsic value = $8.70 + $8.96 + $60.63 = $67.29.

Therefore, the intrinsic value of the stock is $67.29.

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