which of the following instructions clears all the bits in register $8 except for the low order byte, which is unchanged?

Answer

\(\frac{573}{400}\)

step-by-step explanation:

\(\frac{1.4325}{1}\) ×  \(\frac{10000}{10000}\)  =  \(\frac{14325}{10000}\)

Simplify

\(\frac{14325}{10000}\) ÷\(\frac{25}{25}\) = \(\frac{573}{400}\)

Answer:

5

Step-by-step explanation:

slopes of the parallel lines are always same this line has slope five

because equation in y intercept form is y=mx+b

where m is the slope.

so the slope of the new line will be five

Answer:

18000 of it was her salary.

that leaves 3000 commission.

3000/.12 = 25000.

she made sales of 25000.

the formula for her pay would be pay = 18000 + .12 * sales

if sales is 25000, then formula for pay becomes:

pay = 18000 + .12 * 25000

simplify to get:

pay = 18000 + 3000

combine like terms to get:

pay = 21000

Step-by-step explanation:

hope this helps you

Mark my answer as brainalist please

The probability that a senior takes the bus to school every day, given that he or she has a driver's license, is approximately 17%.

To find the probability that a senior takes the bus to school every day given that he or she has a driver's license, we can use conditional probability.

Let's denote the event that a senior has a driver's license as A and the event that a senior takes the bus to school every day as B. We want to find the probability of event B given event A, denoted as P(B|A).

We are given the following information:

The conditional probability formula states that P(B|A) = P(A ∩ B) / P(A).

Substituting the given values, we have:

P(B|A) = P(A ∩ B) / P(A) = 0.14 / 0.84 ≈ 0.1667

To the nearest whole percent, the probability that a senior takes the bus to school every day, given that he or she has a driver's license, is approximately 17%.

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The probability that a senior takes the bus to school every day, given that he or she has a driver’s license, is 17%.

To find the probability that a senior takes the bus to school every day, given that he or she has a driver’s license, we need to use the concept of conditional probability. Conditional probability is the probability of one event happening given that another event has already occurred. In this case, we want to find the probability of taking the bus to school every day, given that the student has a driver’s license.

We can use the formula:

P(A|B) = P(A and B) / P(B)

where P(A|B) is the probability of event A happening given that event B has happened, P(A and B) is the probability of both events A and B happening, and P(B) is the probability of event B happening.

In the given problem, 84% of the seniors have driver’s licenses, 16% of seniors take the bus every day to school, and 14% of the seniors have driver’s licenses and take the bus to school every day. We want to find the probability of taking the bus every day, given that the student has a driver’s license.

Plugging in the values into the formula:

P(Taking the bus every day | Having a driver’s license) = P(Taking the bus every day and Having a driver’s license) / P(Having a driver’s license)

P(Taking the bus every day | Having a driver’s license) = 0.14 / 0.84 ≈ 0.1667

To the nearest whole percent, the probability that a senior takes the bus to school every day, given that he or she has a driver’s license, is 17%.

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The flux of f across the surface s is 0.

To find the flux of f across the surface s, we can use the formula for flux:
flux = ∬(f · dS)
where f is the vector field, dS is the differential surface area vector, and the double integral is taken over the surface s.

In this case, f = j, which means the vector field is constant in the z-direction with a magnitude of 1. Therefore, the flux simplifies to:
flux = ∬(j · dS)

Now, let's calculate the flux step-by-step:
1. First, we need to parametrize the surface s. Since s is the part of the plane z=1 x y inside the cylinder x^2 + y^2 = 1, we can parametrize it as:
r(u, v) = (u, v, 1), where -1 ≤ u, v ≤ 1

2. Next, we need to find the differential surface area vector dS. Since s is a plane, the differential surface area vector is simply the cross product of the partial derivatives of r with respect to u and v:
dS = (∂r/∂u) × (∂r/∂v)

Calculating the cross product, we get:
dS = (1, 0, 0) × (0, 1, 0) = (0, 0, 1)

3. Now, let's evaluate the double integral ∬(j · dS) over the surface s. Since the magnitude of j is 1 and the dot product of j and dS is always 0, the flux is always 0.

Therefore, Flux of f across the surface s is 0.

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Answer:

Amount got by Natasha = £52

Step-by-step explanation:

Given that:

Ratio of Sushil, Natasha and Fiona's share = 1:4:2

Amount of money received by Sushil and Fiona = £39

Let,

x be the number of times.

x+2x = 39

3x = 39

Dividing both sides by 3

\(\frac{3x}{3}=\frac{39}{3}\\x=13\)

Share of Natasha = 4x = 4(13) = £52

Hence,

Amount got by Natasha = £52

Answer:

See below.

Step-by-step explanation:

"1*1=1

2*1=2. 2*2=4

3*2=6,3*3=9

4*2=8,4*3=12,4*4=16

5*2=10,5*3=15, 5*4=20,5*5=25

6*2=12,6*3=18,6*4=24,6*5=30,6*6=36

At last we are getting square numbers...

1^1=1....2^2 =4... 3^3=9....4^4=16..... 5 ^5=25....6 ^6=36"

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Start at 8, double each number, add 2.

8*2=16+2=18

18*2=36+2=38

38*2=76+2=78

78*2=156+2=158

158*2=316+2=318

So, starting at 8, the first five numbers in the sequence is:

8, 18, 38, 78, 158

-hope it helps

Answer:

Step-by-step explanation:

The first pattern:

This is an AP with the first term of 1 and common difference of 1:

The second pattern:

This is an AP with the first term of 2 and common difference of 2:

The third pattern:

This is an AP with the first term of 3 and common difference of 3:

The first term is 8, for the second term, double this and add 2:

Find the first five numbers:

The sequence is:

Answer:

y = 3x + 15

Step-by-step explanation:

1. Find the reciprocal of the slope and change signs: -3

2. y = 3x + b

3. Plug in x and y --> b = 15

4. Make your equation using y = mx + b: y = 3x + 15

The equation of the perpendicular line 't' will be equal to y = -3x + 3.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that line, s has an equation of y=1/3-X-5. Line t is perpendicular to line 's' and passes through (-2, 9).

The equation of the line will be calculated as,

For the perpendicular line, the slope is reciprocal with a negative sign,

m = -3

The equation of the line will be written as,

y = mx + c

y = -3x + c

9 = ( -3 x - 2) +c

c = 9 - 6

c = 3

The equation is,

y = mx + c

y = -3x + 3

Therefore, the equation of the perpendicular line 't' will be equal to y = -3x + 3.

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To prove that DE is parallel to FB, we can use the property that the line joining the midpoints of two sides of a triangle is parallel to the third side and half its length.

We can see triangles AED and CFB with DE and FB as their respective midsegments. Then, we can show that these triangles are similar and that their corresponding sides are proportional. This will imply that DE and FB are parallel.

Proof:

ABCD is a parallelogram, E is the midpoint of AB and F is the midpoint of DC.

Given

Construct triangles AED and CFB with DE and FB as their midsegments, respectively.

Definition of midsegment

AE = ED and CF = FB

Given that E and F are midpoints

AD = BC

Opposite sides of a parallelogram are congruent

∠AED = ∠DCF

Opposite angles of a parallelogram are congruent

∠ADE = ∠CDB

Alternate interior angles formed by parallel lines and a transversal

Triangles ADE and CFB are similar

By angle-angle similarity (AA)

AD/CF = DE/FB

Corresponding sides of similar triangles are proportional

Substituting AD = BC and simplifying, we get:

BC/CF = DE/FB

Since CF = FB (given), we have:

BC/FB = DE/FB

Therefore, BC = DE

Since the corresponding sides of similar triangles are proportional, we can equate BC/CF and DE/FB to get this result.

Hence, DE is parallel to FB

If a line segment joining the midpoints of two sides of a triangle is parallel to the third side, then it is half its length.

Therefore, DE is parallel to FB, as required.

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Answer:

x = [-b ±√(b² - 4ac)]/2a

Step-by-step explanation:

ax² + bx + c = 0

dividing through by a, we have

ax²/a + bx/a + c/a = 0

x² + bx/a + c/a = 0

x² + bx/a = -c/a

we now add th square of half the coefficient of x to both sides, thus

x² + bx/a + (b/2a)² = -c/a +  (b/2a)²

simplifying the left hand side and right hand side, we have

(x + b/2a)² = -c/a + b²/4a²

re-arranging, we have

(x + b/2a)² = b²/4a² - c/a

taking L.C.M of the right hand side, we have

(x + b/2a)² = (b² - 4ac)/4a²

taking square-root of both sides, we have

√(x + b/2a)² = ±√[(b² - 4ac)/4a²]

x + b/2a = ±√(b² - 4ac)/2a

So, x = -b/2a ±√(b² - 4ac)/2a

taking the L.C.M of the right hand side, we have

x = [-b ±√(b² - 4ac)]/2a

The distance that Paul will be able to run on Day 7, given the rate ran per day would be 6 ¹ / ₆ miles.

To determine how far Paul will run on Day 7, we need to consider the pattern of increasing distance each day.

Day 1: 2 miles

Day 2: 2 + 3/4 = 2 3/4 miles

Day 3: (2 3/4) + 3/4 = 3 1/2 miles

Day 4: (3 1/2) + 3/4 = 4 1/4 miles

Day 5: (4 1/4) + 3/4 = 5 miles

Day 6: (5) + 3/4 = 5 3/4 miles

Day 7: (5 3/4) + 3/4 = 6 1/2 miles

Therefore, Paul will run approximately 6 1/2 miles on Day 7.

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The value of the expression w - z for the given complex number will be -2√3 + 0i thus option (C) will be correct.

What is a complex number?

Complex numbers are helpful in finding the square root of negative numbers.

A complex number is the sum of a real number and an imaginary number.

If we solve x² + 1 = 0 ⇒ x = √(-1) which is called as iota(i).

As per the given complex numbers,

w = 2(cos(210°) + isin(210°))

w = 2(-√3/2 + i(-1/2)]

w = -√3 - i

z = 2[cos(330°) + isin(330°)]

z = 2[√3/2 + i(-1/2)

z = √3 - i

Now, w - z will be as,

w - z = (-√3 - i) - (√3 - i)

w - z = -√3 - √3 - i + i

w - z = -2√3 + 0 i

Hence "The value of the expression w - z for the given complex number will be -2√3 + 0i".

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Based on the given information, we can use Decision Tree Analysis to determine the best alternative for protecting the building against wind loads.

1. Decision Node: The first decision is whether to make an additional investment of $35,000 for wind load damage protection.

2. Chance Node: The probability of wind speeds exceeding 100 mph in any year is 0.01%. If the wind speed exceeds 100 mph, there are two possible outcomes:

  a. Terminal Node: If no additional investment is made, the building damage is $65,000.

  b. Terminal Node: If the additional investment of $35,000 is made, the building damage is $6,000.

3. Calculate the Expected Monetary Value (EMV) for each branch of the Chance Node:

  a. EMV of no additional investment = Probability (0.01%) * Damage ($65,000)

  b. EMV of $35,000 investment = Probability (0.01%) * Damage ($6,000) + (1 - Probability (0.01%)) * Additional Investment ($35,000)

4. Compare the EMV of both branches and select the alternative with the higher EMV as the best option.

Detailed calculations and drawing of the Decision Tree would be required to determine the specific values and make the final decision.

Decision Tree Analysis provides a structured approach to evaluate different alternatives and their associated probabilities and costs. By considering the potential outcomes and their probabilities, decision-makers can make informed choices that maximize expected value or minimize potential losses. It is important to conduct a thorough analysis and consider the financial implications over the design life of the project to make an optimal decision.

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Answer:

I think x equals 7.5

Step-by-step explanation:

Please let me know if this was correct or what you were looking for. Thanks!

X= 4

Step-by-step explanation:

:)

Answer:

the answer would be y^6/x^2

Step-by-step explanation:

so (Y) to the sixth power over (X) to the second power

The ordered pairs which are solutions to the system of inequalities given is (10, 2).

Given system of inequalities,

x + 2y ≥ 10

3x - 4y > 12

We have to find the solutions for the system of equations.

Let the equations be,

x + 2y = 10 [equation 1]

3x - 4y = 12 [equation 2]

From [equation 1],

x = 10 - 2y

Substituting in  [equation 2],

3(10 - 2y) - 4y = 12

30 - 6y - 4y = 12

-10y = -18

y = 9/5 = 1.8

x = 10 - 2y = 6.4

The system of equations hold true for (6.4, 1.8).

For (16, 9),

16 + (2 × 9) = 34 ≥ 10 is true.

(3 × 16) - (4 × 9) = 12 not greater than 12.

So this is not true.

For (10, 2),

10 + (2 × 2) = 14 ≥ 10 is true.

(3 × 10) - (4 × 2) = 22 > 12 is true.

Hence the correct ordered pair is (10, 2).

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Answer:

y = 19.99x + 30

Step-by-step explanation:

y = 19.99x + 30

The x represents the number of hours, and because it costs 19.99 per hour, the coefficient before the x will be 19.99. The y-intercept is the fee because it doesn't change with the x.

Answer: try internet

Step-by-step explanation:

sorry

Answer: 2

Step-by-step explanation:

x2 + 2(y ÷ w)

= 5 * 2 + 2(-8/2)

= 10 + 2 * -4

= 10 + (-8)

= 10 - 8

= 2

(I assumed that x2 means x * 2, tell me if I'm wrong)

In a multiple choice exam, there are 5 questions and 4 choices for each question (a, b, c, d). nancy has not studied for the exam at all and decides to randomly guess the answers, the probability that Nancy will correctly answer all 5 questions by guessing is 0.000977

In a multiple choice exam, there are 5 questions and 4 choices for each question (a, b, c, d). Nancy has not studied for the exam at all and decides to randomly guess the answers.

The probability of guessing on an exam can be calculated by using the formula:n(C)/(n(T))where n(C) is the number of favorable events and n(T) is the total number of events. Let's solve the given problem:

Probability of getting the first question correct: P (1st) = 1/4 Probability of getting the second question correct: P (2nd) = 1/4Probability of getting the third question correct: P (3rd) = 1/4 Probability of getting the fourth question correct: P (4th) = 1/4Probability of getting the fifth question correct: P (5th) = 1/4 The probability of guessing all questions correctly can be calculated by multiplying the probability of each question together. P (all) = P (1st) * P (2nd) * P (3rd) * P (4th) * P (5th)= 1/4 * 1/4 * 1/4 * 1/4 * 1/4= 1/1024Therefore, the probability that Nancy will correctly answer all 5 questions by guessing is 0.000977. (rounded to four decimal places)Answer: 0.000977

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The simplified form of the expression is ∛5/3x

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, \(\sqrt[3]{\frac{10x^{5} }{54x^{8} } }\)

Simplifying, we get,

\(\sqrt[3]{\frac{10x^{5} }{54x^{8} } }\\= \sqrt[3]{\frac{10x^{3+2} }{2*27x^{3+3+2} } }\\= \frac{x}{3x^{2} } \sqrt[3]{\frac{10x^{2} }{2x^{2} } }\\= \frac{\sqrt[3]{5} }{3x}\)

Hence, the expression is ∛5/3x

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Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

  8√2 feet

Step-by-step explanation:

You want the length of the diagonal of a square that is 8 ft on a side.

The diagonal of a square is the hypotenuse of the isosceles right triangle with leg lengths equal to the sides of the square. The ratios of side lengths in such a triangle is ...

  1 : 1 : √2

Then the lengths of the sides of that triangle are ...

  8 ft : 8 ft : 8√2 ft . . . . . multiply ratio values by 8 ft

The diagonal length is 8√2 feet.

__

Additional comment

If you use the Pythagorean theorem to find the diagonal length, you will determine it is ...

  d = √(8² +8²) = 8√(1+1) = 8√2 . . . . feet

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The equation of the parabola that has its focus at (0, -2) and directrix at y = 4 is presented as follows;

\(y = 1 - \frac{ x² }{12}\)

The focus of the parabola, obtained from a similar question posted online is (0, -2)

The given directrix is y = 4

From the definition of the directrix, we have;

(x - 0)² + (y - (-2))² = (y - 4)²

Which gives;

x² + (y + 2)² = (y - 4)²

4•y = y² - 8•y + 16 - (x² + y² - 4)

12•y = 12 - x²

The equation of the parabola is therefore;

\(y = 1 - \frac{ x² }{12}\)

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