The projected number of employed writers and authors in 2016 is 153,000. 12. 4% of those will have some college experience but no degree, and 84. 1% will have a bachelor’s degree or higher. If this holds true, how many more writers and authors with bachelor’s degree will there be than those with only some college experience and no degree?.

Step-by-step explanation:

\( = 2 \frac{3}{7} - 5 \frac{6}{7} \\ \)

\( = \frac{2 \times 7 + 3}{7} - \frac{5 \times 7 + 6}{7} \\ \)

\( = \frac{17}{7} - \frac{41}{7} \\ \)

\( = \frac{17 - 41}{7} \\ \)

\( = \frac{ - 24}{ \: 7} \\ \)

☘☘☘...

The number of polynomials that can be formed with -2 and 5 as zeroes are more than 1.

What is a polynomial?

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.x² -3x - 7 is an illustration of a polynomial with a single indeterminate x.

Given that the zeros of a polynomial are -2 and 5.

The polynomial that has a and b as zeors is p(x) = k[x² + (a+b)x + ab].

where k is a real number.

The polynomial that has -2 and 5 zeros is

p(x) = k[x² + (-2 + 5)x + (-2)×5]

p(x) = k[x² + 3x - 10]

Where k is a real number.

The number of real numbers is infinity.

The number of polynomials is infinity.

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Without changing the value, Marcus can add 3 positive counters and 3 negative counters. Option d is correct.

To determine the difference -8 - 3 (+3), Marcus wants to use a model with counters. He starts with 8 negative counters, and in order to add 3 positive counters without changing the value, he can add 3 positive counters and 3 negative counters.

By adding 3 positive counters, he is increasing the value by 3. However, since he wants to maintain the same value, he also needs to add 3 negative counters. This ensures that the net change in value remains zero.

So, by adding 3 positive counters and 3 negative counters to the model, Marcus can represent the difference -8 - 3 (+3) without changing the overall value. Therefore, d is correct.

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The simplest form of a fraction is when the numerator (top number) and denominator (bottom number) have no common factors.

A fraction is a mathematical expression that represents a part of a whole, where a numerator is divided by a denominator. To simplify a fraction, we must divide both the numerator and the denominator by the same number until we cannot divide any further. To simplify a fraction, you must divide both the numerator and denominator by their greatest common factor (GCF).

For example, let's simplify the fraction 24/36. The GCF of 24 and 36 is 12. So, dividing both numbers by 12 will give us the simplified fraction 2/3.

24 ÷ 12 = 2

36 ÷ 12 = 3

Therefore, the simplified fraction of 24/36 is 2/3.

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Answer:es, theoretically you would expect to roll only eight 5s. 3. You survey 100 people in your school and ask them if they feel your school has adequate parking. Only. 30% of the sample feels the school has enough parking. If you have 728 students total in your school, how many would you expect out of all the student body that ...

Step-by-step explanation:

After solving the given equations the answer is an Infinite solution. Hence, option A is correct

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equation in the question,

8 + 4x = 2x + 8 + 2x

Firstly, let's write the given equation in a simplified manner,

8 + 4x = 8 + 4x  

As we can see that LHS = RHS, which means that both equations are the same then which means they will give infinite solutions.

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Answer: 60

A triangle can only be 180 degrees so if one side is 60 so is the other two sides

Answer:

Step-by-step explanation:

Solution:

Rewriting input as fractions if necessary:

9/10, 1/4

For the denominators (10, 4) the least common multiple (LCM) is 20.

LCM(10, 4)

Therefore, the least common denominator (LCD) is 20.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

9/10 = 9/10 × 2/2 = 18/20

1/4 = 1/4 × 5/5 = 5/20

The temperature equation is T(x) = 180 - 2.25*x, using that we will see:

A) after 20 minutes the temperature is 135

B) the temperature will be 100 after 35.56 minutes.

We know that the initial temperature is 180°F and it changes at a rate of -2.25°F per minute, so after x minutes, the temperature is:

T(x) = 180 - 2.25*x

A) after 20 minutes, the temperature is:

T(20) = 180 - 2.25*20 = 135

The temperature after 20 minutes is 135

B) How long will it take to go from 180°F to 100°F?

We need to solve the equation:

T(x) = 100

180 - 2.25*x = 100

180 - 100 = 2.25*x

80/2.25 = x

35.56 = x

So after 35.56 minutes, the temperature will be 100°F

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Answer:

580

Step-by-step explanation:

31(20) + 7(20) -  21(20) +12(20)

620 + 140 -   420 + 240

580                                                              

Answer:

50°

Step-by-step explanation:

65 + 65 +C = 180

130+C = 180

C = 180 - 130 = 50

Hi there!

\(\large\boxed{C = 50^o}\)

A line contains an angle of 180°, so:

∠C = 180° - 65° - 65°

∠C = 180° - 130°

∠C = 50°

Answer:

divide by -2/3 you will get -51

i believe :)

Step-by-step explanation:

The area of the parallelogram with vertices (0,0), (3,6), (8,2), and (11,8) is 0 square units.

To find the area of a parallelogram with given vertices, we can use the formula:

Area = |(x1y2 + x2y3 + x3y4 + x4y1) - (y1x2 + y2x3 + y3x4 + y4x1)| / 2

Given the vertices:

A = (0, 0)

B = (3, 6)

C = (8, 2)

D = (11, 8)

We can plug these coordinates into the formula to calculate the area:

Area = |(0*6 + 3*2 + 8*8 + 11*0) - (0*3 + 6*8 + 2*11 + 8*0)| / 2

Area = |(0 + 6 + 64 + 0) - (0 + 48 + 22 + 0)| / 2

Area = |70 - 70| / 2

Area = 0 / 2

Area = 0

Therefore, the area of the parallelogram with vertices (0,0), (3,6), (8,2), and (11,8) is 0 square units.

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Answer:

U equal them

Step-by-step explanation:

An divide

a) The number of ways to form a committee of 6 people from the department is 177,100.

b) The number of ways to form a committee of 6 people with an equal number of men and women is 54,600.

c) The number of ways to form a committee of 6 people with more women than men is 91,455.

a) To form a committee of 6 people from the department, we can choose 6 individuals from a total of 25 people (10 men + 15 women). The order in which the committee members are chosen does not matter, and we are not concerned with any specific positions within the committee. Therefore, we can use the concept of combinations.

The number of ways to choose 6 people from a group of 25 is given by the combination formula:

C(25, 6) = 25! / (6! * (25 - 6)!) = 25! / (6! * 19!) = 177,100

Therefore, there are 177,100 ways to form a committee of 6 people from the department.

b) In this case, we need to choose an equal number of men and women for the committee. We can select 3 men from the available 10 men and 3 women from the available 15 women. Again, the order of selection does not matter.

The number of ways to choose 3 men from 10 is given by the combination formula:

C(10, 3) = 10! / (3! * (10 - 3)!) = 10! / (3! * 7!) = 120

Similarly, the number of ways to choose 3 women from 15 is:

C(15, 3) = 15! / (3! * (15 - 3)!) = 15! / (3! * 12!) = 455

To find the total number of ways to form a committee with an equal number of men and women, we multiply these two combinations:

Total = C(10, 3) * C(15, 3) = 120 * 455 = 54,600

Therefore, there are 54,600 ways to form a committee of 6 people with an equal number of men and women.

c) In this case, we need to form a committee with more women than men. We can choose 1 or 2 men from the 10 available men and select the remaining 6 - (1 or 2) = 5 or 4 women from the 15 available women.

For 1 man and 5 women:

Number of ways to choose 1 man from 10: C(10, 1) = 10

Number of ways to choose 5 women from 15: C(15, 5) = 3,003

For 2 men and 4 women:

Number of ways to choose 2 men from 10: C(10, 2) = 45

Number of ways to choose 4 women from 15: C(15, 4) = 1,365

The total number of ways to form a committee with more women than men is the sum of these two cases:

Total = (Number of ways for 1 man and 5 women) + (Number of ways for 2 men and 4 women)

     = 10 * 3,003 + 45 * 1,365

     = 30,030 + 61,425

     = 91,455

Therefore, there are 91,455 ways to form a committee of 6 people with more women than men.

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The value of x in the diagram to the nearest tenth is x = 776.8 ft

The hypotenuse side of a right-angled triangle can be determined by using the Pythagoras rule if the opposite side and the adjacent side are known.

However, if an angle and the side are known, we can use the tangent of the trigonometry to determine the adjacent side, then use the Pythagoras rule to determine the hypotenuse.

tan 31 = 400/y

y = 400 / tan 31

y = 400 / 0.60086

y = 665.7

y ≅ 666

x² = 666² + 400²

\(\mathbf{x = \sqrt{666^2 + 400^2}}\)

\(\mathbf{x = \sqrt{443556 + 160000}}\)

\(\mathbf{x = \sqrt{603556}}\)

x = 776.8 ft

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The maximum value of the product is 2500 if the sum of two positive values, x and y, is 100.

The sum of two positive numbers x and y is 100.

x + y = 100

Subtracting y from each side of the equation.

x + y - y = 100 - y

x = 100 - y

The product of x and y is maximum.

Let P be the product.

Then,

P = xy

The product will be maximum when dP/dy = 0.

P = ( 100 - y )y

P = 100y - y²

Differentiating the equation.

dP/dy = 100 - 2y

100 - 2y = 0

Adding 2y on each side of the equation.

100 - 2y + 2y = 0 + 2y

2y = 100

Dividing each side of the equation by 2

y = 50

Then,

x + y = 100

x + 50 = 100

x = 50

Then, the product is:

P = xy = 50 × 50 = 2500

If the sum of two positive numbers x and y is 100, then the maximum value of the product is 2500.

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Answer:

1)   p = 208/8

2) p = 9.54/6

Step-by-step explanation:

Answer:

1) 8p = 208$

p = 26$

2) q = one quart

6q = 9.54$

q = 1.59$

Step-by-step explanation:

1) 8p = 208$

p = 26$

2) q = one quart

6q = 9.54$

q = 1.59$

Step-by-step explanation:

-b - 6 = -3 b - 6b

-b - 6 = -9 b

-6 = -8b

b = 6/8

The interest rate would be = 8.9%

An interest rate is defined as the percentage of money that should be received by an individual for a particular period of time following an investment made.

The principal amount (p) = £9400

The simple interest = £11,907 - 9400 = 2507

The time given(T) = 3 years

The rate (R)= x%

The rate can be calculated from the formula of simple interest = P×T×R/100

make R the subject of formula;

R = 100×SI/P×T

R = 100× 2507/9400×3

R = 250700/28200

R = 8.89%

R= 8.9%

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one tin of cheese 20$ and one tin of Carmel 27$

The viables solutions for the given compound inequality are x ∈ (-3, 5).

According to the given question.

The number of pies baked by Rita is x which is limited by ingredients.

Also, the inequalities which represent the situation are

2x - 3 < 7

And, 5 - x < 8

Since, we have to solve the above inequality and find its solutions.

From the given inequality

2x - 3 <7  we can say that,

2x < 7 + 3

⇒ 2x < 10

⇒ x < 5 ..(i)

And, 5 - x < 8

⇒  5 - 8 < x

⇒ - 3 < x

or, x < -3 ..(ii)

From i and ii we can say that the solution of the given compound inequality are the numbers which lies in between  -3 and 5 or x ∈ (-3, 5).

Hence, the viables solutions for the given compound inequality are

x ∈ (-3, 5).

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In a 7-stage pipeline without branch prediction, if the branch outcome is not known until the 6th stage, we can answer the following questions:

a) How many clock cycles will be wasted if a branch is taken?

b) How many clock cycles will be wasted if a branch is not taken?

Solution:

Part a)

If a branch is taken, then 2 instructions will be lost as it takes 6 cycles for an instruction to reach the end of the pipeline. Once the branch instruction reaches the 6th stage of the pipeline, it is realized that it needs to be taken, and so two instructions need to be flushed out of the pipeline.The next instruction that can be executed is in the 3rd stage of the pipeline, and this will take 5 cycles to complete. Therefore, the total number of clock cycles that will be wasted if a branch is taken = 2 + 5 = 7 cycles.

Part b)

If a branch is not taken, then one instruction will be lost as it takes 6 cycles for an instruction to reach the end of the pipeline. Once the branch instruction reaches the 6th stage of the pipeline, it is realized that it does not need to be taken, and so one instruction needs to be flushed out of the pipeline.The next instruction that can be executed is in the 4th stage of the pipeline, and this will take 4 cycles to complete. Therefore, the total number of clock cycles that will be wasted if a branch is not taken = 1 + 4 = 5 cycles.

Note:

In the case of branch prediction, the number of cycles wasted will be less.

This is because in the case of branch prediction, the branch outcome is predicted earlier (at the fetch stage itself) and so the pipeline can be flushed earlier (if the prediction is wrong). In this case, only a part of the pipeline is affected (up to the stage where the branch is predicted).

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Answer:

i think it's 7 bags will have 6 berries correct me if I'm wrong

Rational numbers are numbers which can be written in the form of a/b where a and b are integers. The given statement that "the sum of two rational numbers is always rational".

Rational numbers are numbers which can be written in the form of a/b where a and b are integers.

Example: 1/2, 3.5 (which is writable as 7/5), 2(which is writable as 4/2), etc.

Irrational numbers are those real numbers which are not rational numbers.

For example √2, π, √13, etc.

It is important thing to Know that all natural numbers are integers, and all integers are rational numbers. That means natural numbers are not irrational.

Since rational number include integers and finite decimal numbers, also the decimal are non-repeating and non-reoccurring. Therefore, the sum of two rational number is always rational.

Hence, the given statement that "the sum of two rational numbers is always rational".

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Answer:

$(x-100)

Step-by-step explanation:

His net winnings from the tournament will be the price minus the entry fee.

Therefore:

Phil's net winnings=$(x-100)

Answer:

x - 100

Step-by-step explanation:

Since it costs 100 dollars for Phil to enter the competition, you subtract that from the prize in which he earns (x).

Answer:

[?] = 4

(the complete term is \(4\frac{1}{2}\ \text{cups}\))

Step-by-step explanation:

\(8\ \text{cups} - 1\frac{1}{3}\ \text{cups} - 2\frac{1}{6}\ \text{cups} = (8-1-2)\ \text{cups} + \frac{-\frac{6}{3} - 1}{6}\ \text{cups} = 5\ \text{cups} + \frac{-3}{6}\ \text{cups} = 5\ \text{cups} + \frac{-1}{2}\ \text{cups} = 4\ \text{cups} + \frac{2 - 1}{2}\ \text{cups}\)

Answer:

Below in bold.

Step-by-step explanation:

The right triangle of which ∅ is a part has

Hypotenuse = sqrt(8^2 + 15^2)

=  sqrt289

= 17,

So, sin ∅ = 8/17 and cos ∅ = 15/17

and

sin∅ + cos∅(1- cos∅)

= 8/17 + 15/17(1 - 15/17)

= 8/17 + 15/17 - 225/289

= 166/289.

(b)  tan 30 = h/96      where h is height of the mast

h = 96 tan 30.

= 55.4256

tan 60 = 55.4256/d        where d is the required distance

d = 55.4256/ tAN60

  = 32 M