What is the Y-INTERCEPT of the line that has a slope of 3 and goes through the point (2,7).

Answer:

5x+2y=8

2x+2y=2

subtract both eq.

3x-0y=6

3x=6

x=2

x+y=1

2+y=1

y= -1

Elena's yearly cash inflows from the project after the payback period is $15,000. A correct answer is an option (b).

The payback period is the time it takes for the project's cash inflows to equal the initial investment. In this case, the payback period is 6 years, meaning that after 6 years, Elena will have received enough cash inflows to recover her initial investment of $150,000.

Since the project pays Elena an even amount per year for 10 years, and the payback period is 6 years, she will receive cash inflows for an additional 4 years after the payback period. Therefore, to calculate Elena's yearly cash inflows, we divide the remaining cash inflows by the number of years remaining:

Remaining cash inflows = $150,000 (initial investment) - cash inflows received during the payback period

= $150,000 - ($15,000 x 6)

= $60,000

Yearly cash inflows = Remaining cash inflows/number of years remaining

= $60,000 / 4

= $15,000

Hence, B is the correct option.

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The probability of randomly selecting an order and getting the order that is used in the spelling​ bee is  0.001388888

Given we have the following:

Number of students in the spelling bee = 6

Number of ways selecting a student in the spelling bee = 6!

The probability of randomly selecting an order and getting the order that is used in the spelling bee :

P(selecting the correct spelling bee order) = 1/6!

= 1/6*5*4*3*2*1

= 1/720

= 0.001388888

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Answer:

11 packages of hot dogs

Step-by-step explanation:

Step 1:

$100 - $6 = $94

Step 2:

$94 ÷ $8 = 11.75

Answer:

11

Hope This Helps :)

The probability that a different catalyst is used on each run is 1, meaning it is certain to happen.

To calculate the probability that a different catalyst is used on each run, we can use the formula for combinations, which is given by n! / (n-k)!k!, where n is the number of items to choose from, k is the number of items being selected, and ! means factorial, which is the product of all positive integers up to that number.

In this case, we have 5 experimental runs and 5 different catalysts, so n = 5 and k = 5. The probability that a different catalyst is used on each run is given by:

5! / (5-5)!5! = 5! / 0!5!

= 120/120

= 1

--The question is incomplete, answering to the question below--

"An experimenter is studying the effects of temperature, pres-sure, and type of catalyst on yield from a certain chemical reaction. Three different temperatures, four different pressures, and five different catalysts are under consideration.

Suppose that five different experimental runs are to be made on the first day of experimentation. If the five are randomly selected from among all the possibilities, so that any group of five has the same probability of selection, what is the probability that a different catalyst is used on each run?"

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Answer:

Step-by-step explanation:

\(f(x) = 2x + 2\\\\f^-^1 (x) = ?\)

Let y equal to the given equation ;

\(y = 2x+2\\\)

Solve for x ;  

\(y-2 = 2x\\Divide \:both\:sides\:of\:the\:equation\:by \:2\\\\\frac{y}{2} - \frac{2}{2} = \frac{2x}{2} \\\\\frac{y}{2} -1 =x\\\\x = \frac{y}{2} -1\)

Change the y back to x

\(x = \frac{x}{2} -1 \\\\f^-^1(x) = \frac{x}{2} -1\)

Step-by-step explanation:

4^2+7^2= when u get the answer for each subtract then from each other square root the answer and that's c

5^2+9^2= when u get the answer for each subtract then from each other square root the answer and that's the e

The height of the Christmas tree could be either 12 meters or 18 meters.

To find the height of the Christmas tree, let's assign a variable to represent the height. Let's call it "h."

According to the problem, the wire supporting the tree is 3 meters longer than the height of the tree. So, the length of the wire is "h + 3."

The wire is anchored at a point whose distance from the base of the tree is 21 meters shorter than the height of the tree. Therefore, the distance from the base of the tree to the anchor point is "h - 21."

We know that the wire is stretched from the top of the tree to the anchor point, forming a right-angled triangle. The height of the tree represents the vertical side of the triangle, and the distance from the base to the anchor point represents the horizontal side.

Using the Pythagorean theorem, we can calculate the hypotenuse (the length of the wire) as follows:

\((h + 3)^2 = h^2 + (h - 21)^2\)

Simplifying the equation, we get:

\(h^2 + 6h + 9 = h^2 + h^2 - 42h + 441\)

Combine like terms and solve for h:

\(6h + 9 = 2h^2 - 42h + 441\)

\(2h^2 - 48h + 432 = 0\)

Dividing by 2, we get:

\(h^2 - 24h + 216 = 0\)

Factoring the quadratic equation, we get:

(h - 12)(h - 18) = 0

Therefore, the possible heights of the tree are 12 meters and 18 meters.
In conclusion, the height of the Christmas tree could be either 12 meters or 18 meters.

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Answer:

A. Third quartile – First quartile

Step-by-step explanation:

The interquartile range is found by taking the third quartile minus the first quartile.  It is also found by taking the right side of the box in a box  and whisker plot and subtracting the left side of the box  in a box  and whisker plot

We have been able to create a thread that uses Gate_Control function and then shown the code generated.

A thread that uses Gate_Control function and the code generated is as follows:

#include <stdio.h>

#include <stdlib.h>

#include <pthread.h>

#include <semaphore.h>

#include <unistd.h>

sem_t Gate, Counter;

// Function to generate a random number between 0 and 3

int sensor_value() {

   return rand() % 4;

}

// Function for the Gate_Control thread

void* Gate_Control(void* arg) {

   while (1) {

       int value = sensor_value();

       if (value == 2) {

           // Passing the Gate semaphore

           sem_post(&Gate);

       }

       if (value == 1 || value == 3) {

           // Passing the Counter semaphore

           sem_post(&Counter);

       }

       usleep(1000000); // Wait for 1 second

   }

   return NULL;

}

int main() {

   srand(time(NULL));

   // Initialize semaphores

   sem_init(&Gate, 0, 0);

   sem_init(&Counter, 0, 0);

   // Create the Gate_Control thread

   pthread_t gateControlThread;

   pthread_create(&gateControlThread, NULL, Gate_Control, NULL);

   // Main thread waits for the Gate semaphore

   while (1) {

       sem_wait(&Gate);

       // Gate semaphore passed

       printf("Gate semaphore passed\n");

   }

   // Cleanup and exit

   sem_destroy(&Gate);

   sem_destroy(&Counter);

   return 0;

}

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The formula for allocation deviation is as follows:σA = (w1σ1^2 + w2σ2^2 + … + wσn^2)^(1/2)σB = (w1σ1^2 + w2σ2^2 + … + wσn^2)^(1/2)

Here,

σ1 = 15%

σ2 = 10%

w1 = 50%,

w2 = 50%

Substituting the values in the above formula:

σA = (0.5 × 0.15^2 + 0.5 × 0.10^2)^(1/2)

= (0.0225 + 0.0100)^(1/2)

= 0.0158 = 1.58%σB

= (0.5 × 0.15^2 + 0.5 × 0.10^2)^(1/2)

= (0.0225 + 0.0100)^(1/2)

= 0.0158

= 1.58%

Hence, the correct option is

D. σ(A) = 14.14%;

σ(B) = 16.33%.

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Answer:

The 9th term in the sequence is 29

Step-by-step explanation:

can i have brainliest please

Answer:

he 9th term in the sequence is 29Step-by-step explanation:

Answer: the answer is 49.84 bags but depending on how your teacher wants you to round, it’s either 49 or 50 bags

Step-by-step explanation: 1/12=0.8333333333

54/1.833333333=49.846153

Answer:

? = 60

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

120 = ? +60

subtract 60 from each side

120-60 = ? +60-60

60 = ?

Answer:

21

Step-by-step explanation:

Well you basically divide 3 and 1/2 by 1/6 which you would you have to simplify the 3 and 1/2 which is 7/2 and switch the denominator and numerator of the 1/6 which would be 6/1 and after you multiply(7/2 x 6/1=42/2) it would be 42/2 which you would have to simplify by dividing 42 and 2 which is 21. There you go I hope this helps.

Answer:

21.

Step-by-step explanation:

That would be  3 1/2 divided by 1/6.

= 7/2 / 1/6

= 7/2 * 6

= 42/2

= 21 glasses.

Answer:

n  n n n n n n n n  

Step-by-step explanation:

b b b  b b b b b b b  b b b b b b b

Answer:

45cm^2

Step-by-step explanation:

multiply 5 and 9 and thats the answer you end up with basically

Thus, the given quadratic equation has two real roots x = 3 and x = -2.

A function or mathematical statement of degree two is a quadratic function. This indicates that two is the function's highest power. The roots of all quadratic functions are two.

Given equation:

x² - x - 6 = 0

Using the quadratic formula:

x = [-b ± √(b² - 4ac) ] / 2a

a = 1 , b = -1 and c = -6

x = [1 ± √((-1)² - 4*1*(-6) ] / 2*1

x = [1 ± √(1 + 24) ] / 2

x = [1 ± 5 ] / 2

Now,

x = (1 + 5)/2 = 3

x = (1 - 5)/ 2 = -2

Thus, the given quadratic equation has two real roots x = 3 and x = -2.

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complete question:

Check whether the given equation has, one solution, two solution ,many solution or no real solution.

x² - x - 6 = 0

By evaluating the exponential equation, we will see that the amount that Erica owes after 6 years is $8551.56

Here we just need to use the exponential equation:

A = P*(1 + r/n)^(n*t)

Where A represents the amount owed t years after, and the other letters represent:

Replacing all that in the given quadratic equation we will get:

A = $5,300*(1 + 0.08/12)^(12*6) = $8551.56

Then the amount that Erica owes is $8551.56

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Answer:

53.7 degrees.

Step-by-step explanation:

C? im pretty sure its c

hope this helps!

C. It is a decimal, it is true of Gemma’s divisor.

The correct answer is: C. It is a decimal.

When Gemma moves the decimal point directly up to the quotient, she is essentially performing long division by powers of 10.

This is because when you divide a number by a power of 10, you are essentially shifting its decimal point to the left by the number of positions determined by the power of 10.

For example, if she is dividing by 100 \((10^2)\), she is moving the decimal point two places to the left.

If she is dividing by 1000 \((10^3)\), she is moving the decimal point three places to the left, and so on.

Moving the decimal point up to the quotient means that the divisor is a decimal number, and its value determines how many decimal places Gemma needs to move the decimal point in the dividend to get the quotient.

So, the correct answer is C. It is a decimal.

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Answer: 3750

Step-by-step explanation:

Answer:

12(4+1)

Step-by-step explanation:

(12×4+12×1)

(48+12)

60

Look I am just going to give you the answer. You don't need to know how YOU got it!

The answer it 12(4+1)!!!!!!!!!!!!!!!!!

hope this is helpful!

Answer:

If the numbers are the same of the boxes that should help

Step-by-step explanation:

I would rather you ask someone in person. They could help you step by step.

Step-by-step explanation:

it says two less which means that you would be subtracting 2 from 3 and a number wich is 3x - 2

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The expression that represents the statement

“two less than the product of three and a number” is

3M - 2.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

3x - 4 + 5 is an expression.

3x = 5 + 4 is an expression.

We have,

“two less than the product of three and a number”

Let the number be = M

This can be written as,

3 x M - 2

= 3M - 2

Thus,

The expression that represents the statement

“two less than the product of three and a number” is

3M - 2.

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Answer:

Hello! answer: 252

Step-by-step explanation:

To find parelogram area you do base × height so... 21 × 12 = 252 therefore 252 is the area Hope that helps!