19. What is the biggest value we can express in 15 bits if we use unsigned numbers? Express using metric prefixes. 20. What is the smallest value we can express in 27 bits if we use signed numbers? Ex

Answer:Irrational,2/9,22/100 11/50, Irrational, No Fraction Given, Perfect Square, Non-Perfect Square

Step-by-step explanation:Best fit options for each question.

Answer:

5

Step-by-step explanation:

Answer: 6 weeks

Step-by-step explanation: $7x6=42

therefore marilyn has to do chores for 6 weeks to get $38

Answer:

64 /49

Step-by-step explanation:

-8/7*-8/7

64 /49

Answer:

Step-by-step explanation:

Hello! The first step in solving our equation is subtracting 9 from both sides. Upon doing this, we obtain: \(\bf 2x=15-9\), which later simplifies to \(\bf 2x=6\).

Then, we need to divide both sides by 2, since both sides are multiplied by 2. Remember, we always use inverse operations to solve equations.

We arrive at \(\boxed{\bf{x=3}}\), which is our final answer.

I hope it helped! :)

The total number of medium trucks are 20% and large trucks are 15% that used the highway during the survey period.

Truck classification is generally based on the maximum loaded weight of the truck, usually using gross vehicle weight rating (GVWR) and sometimes gross trailer weight rating (GTWR), and may vary by jurisdiction.

In the United States, commercial truck classification is based on Gross Vehicle Weight Rating (GVWR). The categories are numbered 1 through 8. The Federal Highway Administration (FHWA) also classifies trucks more broadly, classifying 1 and 2 as light weight, 3 through 6 as medium weight, and 7 and 8 as heavy duty. The Environmental Protection Agency (EPA) has a separate system for classifying truck emissions. The U.S. Census Bureau also assigns classifications in its Vehicle Inventory and Usage Survey (VIUS), formerly known as the Truck Inventory and Usage Survey (TIUS).

U.S. federal law requires drivers to hold a Commercial Driver's License (CDL) to operate heavy-duty vehicles in commerce, with the exception of emergency vehicles and vehicles used strictly for recreational and/or agricultural purposes, although that states allow CDLs to require them at their discretion. A CDL is also required under federal and state laws to operate any vehicle with at least 16 passengers (including the driver) or dangerous goods requiring placards, regardless of vehicle weight. States can extend their CDL requirements to other vehicles, for example, New York requires a CDL to operate a stretch limo, while California requires any vehicle with three or more axles and a gross vehicle weight rating greater than 6,000 books has a CDL.

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Convert 75 degrees to radians

since

then

75 degrees to rads is given by

notice how the degree symbol(°) is cancelled then we only have the rads units

then

Answer:

Both angles are 51°

Step-by-step explanation:

By the Vertical Angles Theorem, both angles are congruent.

Step 1: Set up equation

68 - x = 3x

Step 2: Solve for x

68 = 4x

x = 17

Step 3: Find angles

68 - 17 = 51°

Answer:

4x=68

x=17

51°

Step-by-step explanation:

B. The series diverges.

To determine whether the infinite geometric series with the terms K-1 Σ 5k=1 converges or diverges, we need to analyze the behavior of the common ratio, which is 5.

For an infinite geometric series to converge, the absolute value of the common ratio should be less than 1. In this case, the absolute value of the common ratio is 5, which is greater than 1. Therefore, we can conclude that the series diverges.

When a geometric series diverges, it means that the sum of the series does not approach a finite value as the number of terms increases indefinitely. Instead, it either grows without bound (becomes infinitely large) or oscillates between different values.

In this particular case, the series diverges, and we cannot find a finite sum for it. As we add more terms to the series, the sum will continue to increase without approaching a specific value.

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The probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.

To find the probability of selecting a red six or a black king from a 52-card deck, we need to determine the number of favorable outcomes (red six or black king) and divide it by the total number of possible outcomes (52 cards).

There are 2 red sixes (hearts and diamonds) and 2 black kings (spades and clubs) in a deck.

Since we want to select either a red six or a black king, we can add these numbers together to get a total of 4 favorable outcomes.

Since there are 52 cards in a deck, the total number of possible outcomes is 52.

Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes: Probability = Number of favorable outcomes / Total number of possible outcomes Probability = 4 / 52 Probability = 1 / 13

Therefore, the probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.

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If the two angles have the same cosine values , then their reference angles must be complementary angles .

If two angles have the same cosine value, then it means that they have the same ratio of the adjacent side to the hypotenuse in a right triangle.

The reference angles of the two angles must be complementary angles, meaning they add up to 90 degrees or π/2 radians.

The reference angle is defined as the acute angle between the terminal side of the angle and the x-axis.

Since the adjacent sides of the two angles are equal, their terminal sides will intersect the y-axis at the same point which means that their reference angles must be complementary angles, since they share the same y-coordinate on the unit circle.

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Answer:

d

Step-by-step explanation:

Twice a number decreased by four is less than 8 is x< 6.

2x - 4 < 8

2x < 8 + 4

2x < 12

x < 12 / 2

x < 6

Inequality refers to the unequal distribution of resources, opportunities, and outcomes among individuals or groups in a society. It can manifest in various forms, including economic inequality, social inequality, gender inequality, and racial inequality. Economic inequality refers to the unequal distribution of wealth and income, where some individuals or groups have access to more resources and opportunities than others.

Social inequality refers to the unequal distribution of social status and power, which can lead to marginalized groups being excluded from certain societal benefits. Gender and racial inequality refer to the unequal treatment and opportunities that certain genders or races face in society. Inequality can have negative consequences on individuals and society, including lower levels of social trust, reduced economic growth, and increased social tensions.

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Complete Question: -

Twice a number decreased by four is less than 8 is equation or inequality

range(2,11,2) because range is a tool for defining a range between two numbers and adding a step value.

Range is the difference between the highest and lowest values ​​in a range of numbers. To calculate the range, subtract the smallest number from the largest number in the set.

The number in a list or set between the lowest and maximum is referred to as a range. Line up all the numbers before locating the region. After that, take away (get rid of) the lowest number from the greatest number. The solution provides the list's range.

range(2,11,2) because range is used to create a range between number and add step value

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Answer:

BC = 810 KM

Step-by-step explanation:

It is 2/5 from A to C so the remaining distance 1 -2/5 = 5/5 -2/5 = 3/5 is the distance from C to B

BC = 3/5 * 1350

BC = 810 KM

Answer:

'5 ''6

Step-by-step explanation:

172 divided by 2.54 equals 67.7

67.7 divided by 12 equals 5.6

a) Contribution (objective value) = $132.14

b) The firm earns $132.14 at the optimal solution.

c) An additional hour of time available for the third machine is worth $0.14 to the firm.

d) An additional 5 hours of time available for the second machine will increase the objective value by $3.69.

The best result obtained from using computer software to solve the LP problem is: X1 = 11.43, X2 = 12.86, X3 = 5.71

b) The number of unused hours at the ideal solution is:

Machine 1 still has 8.57 hours of time left.

There are no hours left on Machine 2 at the moment.

There are still 94.29 hours left on Machine 3.

c) The shadow price of the third limitation is worth an extra hour of time available for the third machine. With the exception of increasing the right-hand side of the third constraint by one unit, we can solve the LP problem using the same constraints to determine the shadow price. Using LP to solve this issue, we discover that the shadow price for the third constraint is

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Answer:

A

Step-by-step explanation:

X before Y

Answer:

3/26

Step-by-step explanation:

6 of the 52 cards are red

After answering the provided question, we can state that As a result, expression rather than a rating of 6, it would be more appropriate to use the median to describe the centre of this data set.

An expression in mathematics is a collection of interpretations, digits, and transnational corporations that resemble a causative link or regimen. A real number, a mutable, or a combination of the two can be used as an expression. Mathematical operators include extension, subtraction, rapid spread, separation, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.

Because the dot plot is not symmetrical and the distribution appears to be skewed towards higher ratings, a rating of 6 may not be a good description of the centre of this data set. The numbers 8, 9, and 10 are more common than the numbers 0-7, indicating that the data set has a right skew.

As a result, the centre of the data set may be better described by a measure of central tendency that accounts for data skewness, such as the median.

As a result, rather than a rating of 6, it would be more appropriate to use the median to describe the centre of this data set.

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The statement is incorrect due to the invalid assumption of f(x) = g(x) = 0, and the incorrect application of the comparison test.

The comparison test states that if 0 ≤ f(x) ≤ g(x) and the integral of g(x) dx diverges, then the integral of f(x) dx also diverges. However, the statement assumes that f(x) and g(x) are equal to zero, which means that 0 ≤ f(x) ≤ g(x) is not satisfied.

Additionally, the assumption that g(x) dx diverges does not necessarily imply that f(x) dx also diverges. For example, let g(x) = 1/x^2 and f(x) = 0 for all x. Then g(x) dx diverges, but f(x) dx converges to zero.

In conclusion, the statement is incorrect due to the invalid assumption of f(x) = g(x) = 0, and the incorrect application of the comparison test.

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In a Cartesian coordinate system for a three-dimensional space, let the sphere S be represented by the equation:

(x - a)^2 + (y - b)^2 + (z - c)^2 = r^2

where (a, b, c) are the coordinates of the center of the sphere, and r is the radius.

Let the plane P be represented by the equation:

Ax + By + Cz + D = 0

where (A, B, C) is the normal vector to the plane.

Since the line d is parallel to P and passes through the origin, it can be represented by the equation:

lx + my + nz = 0

where (l, m, n) is a vector parallel to the plane P.

To find the intersection points of the sphere S and the line d, we can substitute the equation of the line into the equation of the sphere, which gives us a quadratic equation in t:

(lt - a)^2 + (mt - b)^2 + (nt - c)^2 = r^2

Expanding this equation and collecting terms, we get:

(l^2 + m^2 + n^2) t^2 - 2(al + bm + cn) t + (a^2 + b^2 + c^2 - r^2) = 0

Since the line d passes through the origin, we have:

l(0 - a) + m(0 - b) + n(0 - c) = 0

which simplifies to:

al + bm + cn = 0

Therefore, the quadratic equation reduces to:

(l^2 + m^2 + n^2) t^2 + (a^2 + b^2 + c^2 - r^2) = 0

This equation has two solutions for t, which correspond to the two intersection points of the line d and the sphere S:

t1 = -(a^2 + b^2 + c^2 - r^2) / (l^2 + m^2 + n^2)

t2 = -t1

The coordinates of the intersection points can be obtained by substituting these values of t into the equation of the line d:

A = lt1, B = mt1, C = nt1

and

D = lt2, E = mt2, F = nt2

To find the distance between A and B, we can use the distance formula:

AB = sqrt((A - D)^2 + (B - E)^2 + (C - F)^2)

To maximize this distance, we can differentiate the distance formula with respect to t1 and set the derivative equal to zero:

d/dt1 (AB)^2 = 2(A - D)l + 2(B - E)m + 2(C - F)n = 0

This equation represents the condition that the direction vector (A - D, B - E, C - F) is orthogonal to the line d. Therefore, the vector (A - D, B - E, C - F) is parallel to the normal vector (l, m, n) of the plane P.

Using this condition, we can find the values of t1 and t2 that correspond to the maximum distance AB. Then we can substitute these values into the distance formula to find the maximum length of AB.

Answer:

Choice A

Step-by-step explanation:

Base = 10

Perpendicular = 10

Hypotenuse = x

On applying Pythagoras theorem:

\( \rm \: B^2+P^2 = H^2\)

On substituting,

Simplifying,

Hence,the value of x using Pythagoras theorem is 10√2.

Choice A

The measure of length of x of the triangle is x = 10√2

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of side AB = 10

The measure of side BC = 10

And , For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

On simplifying , we get

The measure of side AC = x

x = √ ( 10 )² + ( 10 )²

x = √200

x = 10√2

Hence , the measure of x of triangle is x = 10√2

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After simplification of m9m - 3 the answer is 3(3\(m^{2}\) - 1).

Given that :

= m9m - 3

a. Reordering terms:

= 9mm - 3

b.Exponents combining:

= 9mm -3

= 9\(m^{2}\) - 3

c.Common value factor:

= 9\(m^{2}\) - 3

Take 3 has common

= 3(3\(m^{2}\) - 1)

Therefore after simplification of m9m - 3 the answer is 3(3\(m^{2}\) - 1).

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Answer:

b

Step-by-step explanation:

what grade?

Answer:

Use colon method

Step-by-step explanation:

So it is more easy

Answer:

168 y²

Step-by-step explanation:

Area of a parallelogram: base x height

In this case:

base = 14

height = 12

14 x 12 = 168

Answer:

There were small rural towns and farms everywhere.

Step-by-step explanation:

You asked, I answered.

Hope this helped! :)

SOLUTION

The formula for area of segment is given to be

From the image

substituting these values gives

Solve for A

Therefore, the area of the shaded segment is 9.83 square meters

Answer: 25% i believe

Step-by-step explanation:

The probability that it lands inside the triangle is,

P = 25%

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Since, the probability is equal to,

P = size of the event space/size of the sample space

Here, In this problem

size of the sample size = area of the rectangular dartboard = 648 square centimeters

And, size of the event space = area of the triangular part = 162 square centimeters.

Hence, the probability that it lands inside the triangle is,

P = 162 / 648

P = 0.25

P = 25%

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