19. the sum of twelve and sixteen divided by the sum of three and four

Answer:

21

Step-by-step explanation:

prim factors: 2, 3, 5, and 11

The sum of the prime factors of the number 330 is 21.

A natural number other than 1 whose only factors are 1 and itself is said to have a prime factor. In actuality, the first few prime numbers are 2, 3, 5, 7, 11, and so forth.

Given:

The number is 330

Factorize the above number,

330 = 1 × 2 × 3 × 5 × 11

Prime factors are = 2, 3, 5, 11

Calculate the sum of the prime factor

2 + 3 + 5 + 11 = 21

Therefore, the sum of the prime factors of the number 330 is 21.

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a) No, p1 = 20, p2 = 19.50 is not a Nash Equilibrium.

b) Yes, there is a Nash Equilibrium in which Firm 2 makes a positive profit.

c) Player 1 has infinitely many strategies.

d) Yes, p1 = 15, p2 = 15 is a Nash Equilibrium.

e) No, p1 = 21, p2 = 21 is not a Nash Equilibrium.

Nash Equilibrium is a state of a strategic game where no player has an incentive to deviate from his or her chosen strategy after considering the strategies of other players. A game has more than one Nash equilibrium if players are unable to agree on a cooperative strategy to play.

Finding Nash Equilibrium

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Answer:

She soled 58 small prints and one big print

The mean of the time taken by a mechanic to rebuild the transmission of 2005 Chevrolet Cavalie μ = 8.4 hours The standard deviation of the time taken by a mechanic to rebuild the transmission of 2005 Chevrolet Cavalier, σ = 1.8 hours.

The sample size, n = 40 We have to find the probability that their mean rebuild time exceeds 8.7 hours. We know that the sampling distribution of the sample means is normally distributed with the following mean and standard deviation.

We have to find the probability that the sample mean rebuild time exceeds 8.7 hours or Now we need to standardize the sample mean using the formula can be found using the z-score table or a calculator. Therefore, the probability that the mean rebuild time of 40 mechanics exceeds 8.7 hours is 0.1489.

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Answer:

a = 4

b = -3

Step-by-step explanation:

Let a and b be the two numbers.

According to question,

4a - b = 19........(i)

And,

a + 4b = -8........(ii)

From (i),

4a - b = 19

or, b = 4a - 19

Replacing b in (ii),

a + 4(4a - 19) = -8

a + 16a - 76 = -8

17a = -8 + 76

17a = 68

a = 68/17

a = 4

And,

b = 4a - 19

= 4 x 4 - 19

= 16 - 19

= -3

Answer:

The marathon runner runs 1 mile every 10 minutes.

Step-by-step explanation:

9/2 miles is equal to 4.5 miles. 3/4 hours is equal to 45 minutes.

The diagonal and two adjacent sides of the square form an isosceles right triangle.

By the Pythagorean theorem

Answer:

x = - \(\frac{14}{3}\)

Step-by-step explanation:

Given

\(\frac{3}{4}\) (x + 5 \(\frac{1}{2}\) ) = \(\frac{5}{8}\)

Multiply both sides by 8 to clear the fractions

6(x + 5 \(\frac{1}{2}\) ) = 5 ← distribute parenthesis on left side

6x + 33 = 5 ( subtract 33 from both sides )

6x = - 28 ( divide both sides by 6 )

x = \(\frac{-28}{6}\) = - \(\frac{14}{3}\)

Answer:

Its x-intercepts are at (0,0) and (11,0)

The x-coordinate of its vertex is 5.5

Step-by-step explanation:

(both of the answers)

Step-by-step explanation:

x intercept is where you graph cuts the x axis

put this equation equal to 0 and then solve for x

\(2x(x - 11) = 0 \\ 2x = 0 \: \: \: \: \: or \: \: \: \: \: x - 11 = 0 \\ x = 0 \: \: \: or \: \: \: \: x = 11\)

so x intercept is (0,0) and (11,0).

To find vertex

x coordinate is -b/2a

\(2x(x - 11) \\ 2x {}^{2} - 22x \\ so \: vetex \: is \: - \frac{ - 22}{2(2)} \\ \frac{22}{4} \\ 5.5\)

Answer:

________

-11

________

Let's say event A is the selection of four positive numbers, event B the selection of four negative numbers, and event C the selection of two positive and two negative numbers.

Since four numbers are chosen without replacement,  n(A) = 6 × 5 × 4 × 3 = 360  n(B) = 8 × 7 × 6 × 5 = 1680. In event C, four numbers are to be chosen without replacement such that two numbers are positive and two numbers are negative.

This can be done in following ways:  + + – – OR + – + – OR + – – + OR – + – + OR – – + + OR – + + –  ∴ n(C) = 6 × 5 × 8 × 7 + 6 × 8 × 5 × 7 + 6 × 8 × 7 × 5 + 8 × 6 × 7 × 5 + 6 × 5 × 8 × 7 + 8 × 6 × 5 × 7  = 6 × (8 × 7 × 6 × 5)  =10080  Here, total number of numbers = 14  ∴ n(S) = 14 × 13 × 12 × 11 = 24024

Since A, B, C are mutually exclusive events,

Required probability = P(A) + P(B) + P(C)

= n(A)/n(S) + n(B)/n(S)+ n(C)/n(S)

= 360+1680+10080/24024

= 505/1001

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Answer:

smith fam

Step-by-step explanation:

\(\dfrac{\left(x^0 y^{\tfrac 23} z^{-2} \right)^{\tfrac 32}}{\left(x^2 z^{\tfrac 12} \right)^{-6}}\\\\\\=\dfrac{1\cdot \left( y^{\tfrac 23}\right)^{\tfrac 32} \cdot \left(z^{-2} \right)^{\tfrac 32}}{\left(x^2 \right)^{-6} \cdot \left( z^{\tfrac 12} \right)^{-6}}~~~~~~~~~~~~~~~~~~;\left[(ab)^m = a^m b^m\right]\\\\\\=\dfrac{y^{1} \cdot z^{-3}}{x^{-12} \cdot z^{-3}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[(a^m)^n = a^{mn}\right]\\\\\\=\dfrac{y}{x^{-12}}\\\\\\\)

\(=\dfrac{y}{\tfrac 1{x^{12}}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[a^{-m} = \dfrac 1{a^m} } \right]\\\\\\=yx^{12}\)

To determine how long it will take Mary Corens to repay her student loan, we can divide the total loan amount of $15,000 by the annual repayment amount of $1,800. The result will give us the number of years it will take her to repay the loan.

it will take Mary approximately 8 years to repay the loan.

By dividing the total loan amount of $15,000 by the annual repayment amount of $1,800, we can calculate the number of years needed to repay the loan.

Loan amount: $15,000

Annual repayment: $1,800

Number of years = Loan amount / Annual repayment

Number of years = $15,000 / $1,800

Number of years ≈ 8.33

Since we are asked to round the answer to the nearest whole number, Mary will take approximately 8 years to repay the loan.

It's important to note that this calculation assumes a constant annual repayment amount of $1,800 throughout the entire loan repayment period. In reality, factors such as interest accrual and varying repayment schedules may affect the actual time it takes to fully repay the loan. Additionally, any changes to the annual repayment amount would also impact the duration of the loan repayment.

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The first step in solving the first equation is different from the first step of solving the second equation because,

In the first equation, start by squaring both sides to eliminate the radical, but in the second equation, start by adding 1 to both sides to isolate the radical.

Thus the option B is the correct option.

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Given information-

The first equation given in the problem is,

\((x-1)^2=8\)

The above equation can be solve using the algebraic formula of whole square of two number as,

\((x-1)^2=8\\x^2+1^2-2x=8\\x^2-2x-8+1=0\\x^2-2x-7=0\)

The first equation can be solved by putting square root both side as,

\(\sqrt{(x-1)^2}=\sqrt{8}\\(x-1)=\sqrt{8}\\x=2\sqrt{3}+1\)

The second equation given in the problem is,

\(x^2-1^2=8\)

The above equation can be solve using the algebraic formula of difference of the square of two number as,

\(x^2-1=8\\x^2=8+1\\x^2=9\\x=\pm3\)

Hence, The first step in solving the first equation is different from the first step of solving the second equation because,

In the first equation, start by squaring both sides to eliminate the radical, but in the second equation, start by adding 1 to both sides to isolate the radical.

Thus the option B is the correct option.

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Answer:

B.

Step-by-step explanation:

Correct on Edgen. (2022)

Answer:

x² + 9x + 20 = 0

Step-by-step explanation:

Given a solution x = - a for a quadratic equation then (x + a) is a factor

Here x = - 5 and x = - 4 , then corresponding factors are

(x + 5) and (x + 4)

The quadratic equation is then the product of its factors, that is

(x + 5)(x + 4) = 0 ← expand using FOIL

x² + 9x + 20 = 0

The "d" format specifier is used to denote a signed decimal integer in various programming languages and formatting systems.

When used in format strings or printf-style functions, the "d" specifier indicates that the corresponding argument should be formatted as a signed decimal integer. It allows for the representation of both positive and negative whole numbers, including zero.

For example, in C programming, the printf function can be used with the "%d" format specifier to display a signed decimal integer value. Similarly, in other languages such as Python, the "{:d}" format specifier can be used with the format() function or string interpolation to represent a signed decimal integer.

Using the "d" specifier ensures that the output is formatted as a base-10 representation of a signed integer, taking into account the sign of the number.

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Line A: x\(\frac{1}{1}\)

Line B: x\(\frac{2}{3}\)

An easy way to see this is too look at the points. For A, you can see the first contact it sees is (x,y) (1, 1). For B it first crosses (2, 3) you rewrite each thing y over x, so you get x\(\frac{1}{1}\) and x\(\frac{2}{3}\)

The average rate of change is D. 2.

The average rate of change simply means the measure of how the function will change let unit of time.

In this case, it is important to look at the input and the output that wee given. It can seen that the difference between the output is given as:

13 - 11 = 2

15 - 13 = 2

In this case, the average change is 2.

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Answer:

y = -(5/4)x - (1 3/4)

Step-by-step explanation:

A line parallel to y= -(5/4)x - 6 will have the same slope, -(5/4), but a different value for the y-intercept, which is -6 in this equation.  This means we can write:

y = -(5/4)x + b

As klong a b is not -6, the line will be parallel.  But we are told that point (5,-8) must be on the new line.  That means we need to select a value of b to make that happen.  By shifting b, we can move the straight line up or down.  To move it so that it goes through (5,8), enter that point in the equation and solve for b:

y = -(5/4)x + b

-8 = -(5/4)*5 + b   for (5,-8)

-8 = -(25/4) + b

b = -8 + (25/4)

b = -(32/4)+(25/4)

b = -(7/4) or - 1 3/4

The parallel line that goes through (5,-8) is y = -(5/4)x - 2

Answer:

y=-5/4x-7/4

Step-by-step explanation:

Use calculator for the solving:

12 / 24 - 3/216 +5600 -5554 = ?

Answer: 46.4861111111

Hopefully it's correct :)

Answer:

66 and two-thirds percent

Step-by-step explanation:

Answer:

The answer is (C) 66 and two-thirds percent

Step-by-step explanation:

                                                 hope it helps

Answer:

blab blah??

Step-by-step explanation:

thats not a good question tbh

Answer:

I think you would have to add 12.5 to the 5

Step-by-step explanation:

\(\huge\mathfrak\red {Answer:}\)

\(\frac{5p}{2} = \frac{25}{4} \\ 5p = \frac{25}{4} \times 2 \\ = > 5p = \frac{25}{2} \\ => p= \frac{25}{2} ÷ 5 \\ p = \frac{25}{2} \times \frac{1}{5} \\ = > p = \frac{5}{2} \\ = 2.5\)

\(\mathfrak\purple {Hope\: this\: helps\: you...}\)

The distance covered on the yesterday was 24 miles.

Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

Given that, The number of miles is 15 for today and m for yesterday. The number of hours is 2.5 for today and 4 for yesterday, the rate is same for both the days, therefore, this will represent a proportion,

Therefore, establishing the proportion,

15 / 2.5 = m / 4

15 × 4 / 2.5 = m

m = 24

Since, we got the value of m is 24 miles.

Hence, the distance covered on the yesterday was 24 miles.

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From the regression output is for predicting annual murders per million from percentage living in poverty in a random sample of 20 metropolitan areas,

a) the linear model: Annual murders = -29.901 + 2.559( percentage living in poverty )

b) the expected murder rate in metropolitan areas with no poverty is -29.901 million.

c) for each percentage increase in poverty, we expect murders per million to be higher on average by 2.559

d) for each percentage increase in poverty, we expect murders per million to be higher on average by 2.559

e) the correlation coefficient = 0.8398

In this question we have been given the regression output is for predicting annual murders per million from percentage living in poverty in a random sample of 20 metropolitan areas.

Consider the following image.

Let x represents the percentage living in poverty and y be the  annual murders per million of 20 metropolitan areas.

From given regression output the linear model would be,

y = -29.901 + 2.559x

To find the y-intercept substitute x = 0

So, y = -29.901

This means, the expected murder rate in metropolitan areas with no poverty is -29.901 million.

In this case there is no meaningful value.

Also, the slope of the regression line is m = 2.559

This means, for each percentage increase in poverty, we expect murders per million to be higher on average by 2.559

For this model, the coefficient of determination R^2 is  70.52%

i.e., Poverty level explain 70.52% of the variability in murder rates in metropolitan areas.

We need to find  the correlation coefficient.

R = √0.7052

R = 0.8398

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Answer:

\(\frac{2x^{4} - 5x^{2} + x + 6 }{x}\)

Step-by-step explanation:

\(\frac{2x^{3} - 5x + \frac{6}{x} + 1 }{x}\)
\(\frac{2x^{4} - 5x^{2} + x + 6 }{x}\)

\(2 {x}^{2} - 2x - 3\)

step by step explanations

The distance of a = 1 / 2 pi, b = 1 pi, and c = 3 / 2 pi.

The complete movement of an object, regardless of direction, is referred to as distance. The amount of ground a thing travels from its starting point to its destination is also referred to as distance.

Given:

The time, t = π / 2 sec,

Calculate the distance by using the formula given below,

\(Distance = r\times time\)

So, for distance, a = 1 × π / 2 =  π / 2

for distance, b = 1 × π =  π

for distance, c = 1 × 3 π / 2 =  3 π / 2

Therefore, the distance of a = 1 / 2 pi, b = 1 pi, and c = 3 / 2 pi.

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To match each inequality to the number line that represents its solution, you need to first understand the concept of inequalities. Inequalities are mathematical expressions that indicate a relationship between two values, where one is greater than or less than the other. Inequalities are commonly represented on a number line, which is a visual representation of all real numbers.

To solve this question, you need to carefully analyze each inequality and identify the range of values that satisfy the inequality. Then, you need to locate this range of values on the number line.

For example, the inequality x < 3 means that x can take any value less than 3. To represent this on the number line, you would draw an open circle at 3 (since 3 is not included in the solution) and shade all values to the left of 3.

Similarly, the inequality y ≥ -2 means that y can take any value greater than or equal to -2. To represent this on the number line, you would draw a closed circle at -2 (since -2 is included in the solution) and shade all values to the right of -2.

In summary, to match each inequality to the number line that represents its solution, you need to understand the concept of inequalities, carefully analyze each inequality, and locate the range of values that satisfy the inequality on the number line.

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