w varies directly as the square of x and inversely as p and q.

If w = 12 when x = 4, p = 2 and q = 20,

find w when x = 3, p= 8 and q = 5. b. 9 d. 5 21.​

The inverse of the statement is "If a number does not have exactly two distinct factors, then the number is not prime." Thus Option 2 is the answer.

   When a conditional statement is reversed, the hypothesis and conclusion are both negated. The hypothesis in the original statement is "a number with exactly two distinct factors," while the conclusion is "is prime."

  To make the inverse, we negate both sections. "A number does not have exactly two distinct factors" is the antonym of "A number that has exactly two distinct factors." "Is not prime" is the opposite of "is prime."

    As a result, the inverse statement is "If a number does not have exactly two distinct factors, then the number is not prime."

     It's crucial to remember that a statement's inverse could or might not be accurate. In this instance, the inverse is true since the definition of a prime number is incompatible with the fact that a number has more than two components if it has more than exactly two different factors.

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Answer:

(0,-7)

Step-by-step explanation:

Factor out the x^2 and the 7x.

x(x+7)

Do the zero factor

x = 0

x = -7

Answer:y= 29

y=41

y=47

y=65

Step-by-step explanation:

Oh it's just plugging x into the equation!

y= 5+ 6x

y= 29

y=41

y=47

y=65

a) x[2(n-1)] is a signal that has been shifted to the right by 1 sample and then scaled by a factor of 2. , b) x[n-1]u[-1-n] is a signal that has been shifted to the left by 1 sample and then multiplied by a unit step function.

a) x[2(n-1)] is a signal that has been shifted to the right by 1 sample and then scaled by a factor of 2. This can be shown graphically by shifting the signal to the right by 1 sample and then halving the width of each sample.

b) x[n-1]u[-1-n] is a signal that has been shifted to the left by 1 sample and then multiplied by a unit step function which is used to clip off all values of the signal before -1. This can be shown graphically by shifting the signal to the left by 1 sample and then removing all values before the -1 sample.

a) x[2(n-1)] is a signal that has been shifted to the right by 1 sample and then scaled by a factor of 2.

b) x[n-1]u[-1-n] is a signal that has been shifted to the left by 1 sample and then multiplied by a unit step function.

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The given ratio of men to women working for the company is "to". Since the exact ratio is not provided, let's assume the ratio is "x:y". We are also given that there are "z" women working for the company.

To find the total number of employees, we need to determine the number of men working for the company.

Using the given ratio, we can set up the equation:
x/y = z/1

Cross-multiplying, we have:
x = z * y

Now, to find the total number of employees, we add the number of men and women:
Total employees = number of men + number of women
Total employees = x + z

Substituting the value of x from the equation above, we get:
Total employees = (z * y) + z

Simplifying the expression, we have:
Total employees = z * (y + 1)

In conclusion, the total number of employees in the company is z times the sum of the ratio (y+1).

Note: Since the exact ratio is not given, we cannot provide a numerical value for the total number of employees.

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Answer:

3x+10=-5

3x=-15

x=-5

3x-12=9

3x=21

x=7

Answer:

1. \(x=-5\)

2. \(x=7\)

Step-by-step explanation:

First Equation

1. For the first equation, \(3x+10=-5\) we need to move all the constants to one side.

\(3x+10=-5\\3x=-15\)

2. Once that is done, we need to divide both sides by 3 to get \(x\) by itself.

\(3x=-15\\\frac{3x}{3}=\frac{-15}{3}\)

3. Now, we have our final answer.

\(x=-5\)

Second Equation

1. For the second equation, \(3x-12=9\) we need to move all the constants to one side.

\(3x-12=9\\3x=21\)

2. Once that is done, we need to divide both sides by 3 to get \(x\) by itself.

\(3x=21\\\frac{3x}{3} =\frac{21}{3}\)

3. Now, we have our final answer.

\(x=7\)

Hope this helped C:

The amount of money we can make is $0.05.

We have,

P= $710

R= 5.1%

T= 12 year

Compounded Continuously:

A = P\(e^{rt\)

A = 710.00(2.71828\()^{(0.051)(12)\)

A = $1,309.32

Compounded Daily:

A = P(1 + r/n\()^{nt\)

A = 710.00(1 + 0.051/365\()^{(365)(12)\)

A = 710.00(1 + 0.00013972602739726\()^{(4380)\)

A = $1,309.27

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The area of trapezium with a median of 25 cm and height of 8 cm = 200 cm².

Area of trapezium = 1/2(a + b)h, where a and b are the parallel bases of the trapezium, and h is the height.

Note, median of a trapezium = half of the sum of the length of the two bases of a trapezium = 1/2(a + b). Therefore, the area of a trapezium with a given median would be:

A = median length × height

Given the following:

Area of trapezium = 25 × 8 = 200 cm².

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Answer:

47 degrees

Step-by-step explanation:

i hope this helps

False. When sample size is more than 1000, type-1 and type-2 error do not exist. True. When population standard deviation is known, the correct distribution to use for a hypothesis testing is a normal distribution.

False. When sample size is more than 1000, type-1 and type-2 error still exist. However, when the sample size is very large, the errors are usually small and can be ignored in practical terms. True. When population standard deviation is known, the correct distribution to use for a hypothesis testing is a normal distribution. This is because the sample mean will be normally distributed, according to the Central Limit Theorem, and the test statistic (such as the z-score) can be calculated using the normal distribution. If the population standard deviation is unknown, then the t-distribution should be used instead.

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Answer:

(y-6)=-2/3(x+4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The probability that Steve chooses two different types of biscuits is 5/11 (or approximately 0.4545).

To calculate this, we need to consider the different combinations of two biscuits that Steve can take from the tin. There are two digestive biscuits, three chocolate biscuits, and seven ginger biscuits, so the total number of possible combinations is 12.

The number of combinations where he chooses two different types of biscuits is 5 (2 digestive and 1 chocolate, 2 digestive and 1 ginger, 1 chocolate and 1 ginger).

Therefore, the probability of choosing two different types of biscuits is 5/12, which is 0.4545.

Answer:

I think it's 3

Step-by-step explanation:

becuse if he has 12 biscuits and u take away 2 which is 10. then its says there are 3 chocolate but it might just be chocolate not a biscuit. then u take away 7 and u get 3.

Answer:

92 x 49 = 4,508

Step-by-step explanation:

According to the texts, she sold 92 blankets in her first month, bringing her total sales to 92, and each blanket cost $49.

Answer:

Distance rode = 6 miles

Step-by-step explanation:

distance from home = 2 miles

remaining distance =  4 miles

The distance rode = 4 + 2 = 6 miles

The correct matches are =

Proxy voting- Allowing someone else to vote one's shares

Board of Directors- the committee that hires, evaluates and monitors the senior managers of the firm

Preemptive right- The right to firstly buy any additional shares that the firm may issue before they are sold to the public

Straight-line voting- each candidate for the board of directors is elected by a majority vote

Cumulative voting- board seats are awarded in proportion to the votes received.

Definitions =

Proxy voting = Proxy voting is when a shareholder delegates their voting rights to another person or entity, known as a proxy, to vote on their behalf. This can be done for various reasons, such as when a shareholder is unable to attend a meeting or wants to entrust their voting decisions to someone else. It does not directly relate to board seats being awarded in proportion to the votes received.

Board of Directors = The Board of Directors is a group of individuals elected or appointed to represent the shareholders and oversee the management of a company. They are responsible for making major decisions, setting company policies, and appointing senior executives. Each candidate for the board of directors is typically elected by a majority vote of the shareholders.

Preemptive right = Preemptive right, also known as the right of first refusal, is a privilege granted to existing shareholders of a company. It allows them to have the first opportunity to purchase additional shares before they are offered to the public. This right helps protect the ownership interests of existing shareholders by giving them the chance to maintain their proportional ownership in the company.

Straight-line voting = Straight-line voting is not a commonly used term in corporate governance. However, based on the given options, it seems to be referring to a voting system where each shareholder is entitled to one vote per share they own. This is the standard method of voting in most corporate elections, where each shareholder's voting power is directly proportional to their shareholding.

Cumulative voting = Cumulative voting is a voting method that allows shareholders to pool their votes and allocate them as they see fit among the candidates for the board of directors. It gives minority shareholders the opportunity to concentrate their votes on fewer candidates and increase their chances of electing a representative to the board. This mechanism helps to ensure a more proportional representation of shareholders on the board.

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The complete question =

Match the following concepts Group of answer choices

Proxy voting [ Choose ] board seats are awarded in proportion to the votes received.

Board of Directors [ Choose ] each candidate for the board of directors is elected by a majority vote

Preemptive right [ Choose ] The right to firstly buy any additional shares that the firm may issue before they are sold to the public

straight-line voting [ Choose ] the committee that hires, evaluates and monitors the senior managers of the firm

cumulative voting [ Choose ] Allowing someone else to vote one's shares

Answer:

I think B

Step-by-step explanation:

because their age group is 20-25 more of a constant age group

compared to 20-30

Answer:

2nd option

Step-by-step explanation: if the numbers keeps on repeating in the same pattern after a decimal point  then they're considered to be non terminating and repeating and rational

The result of executing the code segment is -2

The complete question is added at the end of this solution as an attachment

The code in the question is given as

IF X > Y

  DISPLAY X + Y

ELSE

  DISPLAY X - Y

Given that

X = 3 and Y = 5

When x and y are compared, we have the truth value to be

Y > X

This means that the executed segment is

DISPLAY X - Y

So, we have

DISPLAY 3 - 5

Evaluate

DISPLAY -2

Hence. the displayed result is -2

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Answer: The possible outcomes are — 1, 2, 3, 4, 5, and 6. The probability of getting any of the outcomes is 1/6

Step-by-step explanation:

Answer: Negative

Step-by-step explanation:

the y (output) is going down by -.25

Answer:

A, the other person was correct

Step-by-step explanation:

The polynomial functions is graphed below is f(x) = (x+ 4)(x- 2)².

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

There are three components that make up a function: a set of inputs, a set of outputs, and a rule that links the elements of the input set to the elements of the output set so that each input is paired with exactly one output.

We have a graph for polynomial function.

We know that the function of graph have solution where the graph touches or passes the x axis.

Here from the graph at x = -4 and at x= 2 the touches and moves upward.

So, the factors of polynomial are (x+ 4) and (x- 2).

Thus, the polynomial function is f(x) = (x+ 4)(x- 2)².

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Answer:

21 liters of the 12% solution and 4 liters of the 37% solution

Step-by-step explanation:

Represent the number of liters of the first solution as x and the second as y. Now, the total liters of iodine is going to be 16% of 25 = 4 liters of iodine, and the total liters of each solution is going to be 25. Now, we can setup two equations:

0.12x+0.37y = 4

x + y = 25

Multiplying the bottom equation by 0.12, we have

0.12x + 0.12y = 3

Subtracting, we have

0.12x+0.37y=4

-

0.12x + 0.12y = 3

= 0.25y = 1

= y = 4

= x = 25 - 4 = 21

Answer:

x= -4, y= -20

Step-by-step explanation:

y= 16x+44

(y= -x²+8x+28) * (-1)

multiply both sides by -1  

y= 16x+44

-y= x²-8x-28

add the equations to eliminate y

y-y= x²+16x-8x+44-28

0= x² +8x +16 this is the same with (x+4)²=0 so x= -4

go back to the first equation and substitute x with -4 and solve for y

y= 16*(-4) +44 = -64+44 = -20

Answer:

240 yards lost, if I understand the question correctly.

Step-by-step explanation:

If I read this correctly the team lost 85 yards lost in 8 plays.  Then they tripled their loss on the next 17.  3 x 85 = 255 yards lost in the last 17 plays.

Total yards lost was (85 + 255) = 240 yards in 22 plays.

Answer:

I can answer the type of angle: Acute

Step-by-step explanation:

It's less than 90 degrees, so it's \(acute.\)

The system of equations models this problem:

x + y = 405

y = 8x

The correct answer is an option (c)

Here, the variable x represents the number of angelfish Carlos bought and the variable y represents the number of parrotfish he bought.

Carlos bought 8 times as many parrotfish as angelfish.

From this statement we get an equation,

y = 8x

Carlos bought 405 tropical fish for a museum display.

This means that the total number of fish = 405

so, we get an equation,

x + y = 405

Therefore, the system of equations would be,

x + y = 405

y = 8x

The correct answer is an option (c)

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Answer:

\(\sqrt{59}\)

Step-by-step explanation:

7^2 is 49 and 8^2 is 64, which means the square root of any number between 49 and 64 (exclusive) will be in between 7 and 8, and it's also going to be irrational, because it's not a perfect square.

One number between 49 and 64 is 59, so \(\sqrt{59}\) is an irrational number between 7 and 8