PLSS help i dont understand I found w =59 but dont know how to find the rest

The graph of the inequality y ≤ (x + 2)² is the graph (a)

From the question, we have the following parameters that can be used in our computation:

(y\le(x+2)^2\)

Express properly

So, we have

y ≤ (x + 2)²

The above expression is a quadratic inequality with a less or equal to sign

This means that

The graph opens upward and the bottom part is shaded

Using the above as a guide, we have the following:

The graph of the inequality is the first graph

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Step-by-step explanation:

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\( = 6.6.6.3.3\)

\( = 6(1 + 1 + 1).3(1 + 1)\)

\( = 6(3).3(2)\)

According to the given statement the probability that the mean sleep time per night is greater than 8 hours is very close to 1.

This means that it is highly likely for the mean sleep time to exceed 8 hours based on the given data.

To find the probability that the mean sleep time per night is greater than 8 hours, we will use the z-score formula and the standard normal distribution.

1. Calculate the standard error of the mean (SEM) using the formula:

SEM = standard deviation / sqrt(sample size).
  SEM = 2.1 / sqrt(23) ≈ 0.439.

2. Next, calculate the z-score using the formula:

z = (sample mean - population mean) / SEM.
  z = (8 - 6.3) / 0.439 ≈ 3.86.

3. Look up the z-score in the z-table or use a calculator to find the corresponding cumulative probability.

  The probability corresponding to z = 3.86 is very close to 1.

The z-score measures how many standard deviations the sample mean is from the population mean.

In this case, a z-score of 3.86 indicates that the sample mean of 8 hours is almost 3.86 standard deviations above the population mean of 6.3 hours.

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The measure of each dimension of the rectangle can either be 6 units by 30 units or 30 units by 6 units is the correct answer.

Let length be x units and breadth be y units.

The area of a rectangle is given by length times breadth.

Therefore,  xy = 5x + 5y, which we can factor out to xy - 5x - 5y = 0.

To factor this we must add 25 to both sides of the equation. xy - 5x - 5y + 25 = 25, which can be written as (x - 5)(y - 5) = 25.

The factors of 25 are (1, 25) and (5, 5).

To find the dimensions of the rectangle, we substitute the following values into the equation (x - 5)(y - 5) = 25 and solve: If (x - 5) = 1 and (y - 5) = 25, then x = 6 and y = 30. If (x - 5) = 25 and (y - 5) = 1, then x = 30 and y = 6.

Therefore, the dimensions of the rectangle are either 6 units by 30 units or 30 units by 6 units.

The measure of each dimension of the rectangle can either be 6 units by 30 units or 30 units by 6 units.

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The inequality on the graph is:

y > -x + 8

We can see a dashed line with a shaded region above, so the inequality is of the form:

y > line.

The general line is written as:

y  =ax + b

Where a is the slope and b is the y-intercept.

Here we can see that the y-interceptis y = 8, then:

y = ax + 8

The line also passes through (8, 0), then we can solve:

0 = a*8 + 8

-8/8 = a

-1 = a

Then the inequality is:

y > -x + 8

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A prime date is a date where both the month and day form a prime number, for example 2/2 or 3/3.

There were 10 prime dates in 2007:

January 2nd (1/2)

February 2nd (2/2)

March 3rd (3/3)

April 5th (4/5)

May 7th (5/7)

June 11th (6/11)

July 13th (7/13)

August 17th (8/17)

September 19th (9/19)

November 23rd (11/23)

December 29th (12/29)

A prime date is a date where both the month and day form a prime number, for example 2/2 or 3/3. To find the number of prime dates in 2007, we must first identify which months and days form prime numbers. January 2nd (1/2), February 2nd (2/2), March 3rd (3/3), April 5th (4/5), May 7th (5/7), June 11th (6/11), July 13th (7/13), August 17th (8/17), September 19th (9/19), November 23rd (11/23), and December 29th (12/29) are all prime dates in 2007. Therefore, there were 10 prime dates in 2007.

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An equation that mode the relationship between thee two variable is y=2x+3 .

Let x represent the number of 6-month period worked

Let y represent the total number of paid vacation day

According to the question,

When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.

Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19

An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).

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Let X be the number of type A solar panels and Y be the number of type B solar panels produced per year.The given revenue function is R(x,y) = 5x + 6y.The given cost function is c(x,y) = x^2 − 3xy + 6y^2 + 13x − 36y − 3.Profit P is defined as:P(x,y) = R(x,y) − c(x,y)

Now, substitute the given revenue and cost functions into the above profit equation, we get:

P(x,y) = R(x,y) − c(x,y)= (5x + 6y) − (x^2 − 3xy + 6y^2 + 13x − 36y − 3)= −x^2 + 8x + 9y − 3xy − 6y^2 − 3

The above equation is a quadratic function in two variables X and Y with coefficients: a = -1, b = -3, and c = -6.To find the maximum profit, we have to differentiate the profit function with respect to each variable X and Y and equate them to zero.Then we can solve these equations to find the values of X and Y that produce the maximum profit.Differentiating the profit function with respect to X, we get:

∂P/∂x = −2x + 8 − 3y = 0Or, 2x = −3y + 8 … equation (1)

Differentiating the profit function with respect to Y, we get:

∂P/∂y = 9 − 3x − 12y = 0Or, 4y = −x + 3 … equation (2)

Solving equations (1) and (2), we get:

X = 52/7 thousand Y = 23/7 thousand

Now, substitute these values of X and Y in the profit equation, we get:

P(x,y) = −(52/7)^2 + 8(52/7) + 9(23/7) − 3(52/7)(23/7) − 6(23/7)^2 − 3= $1.66 Million

So, the company should produce 52/7 thousand (or approx. 7,429) type A solar panels and 23/7 thousand (or approx. 3,286) type B solar panels to maximize its profit.The maximum profit that the company can achieve is $1.66 million. The given problem is about a company that produces two types of solar panels per year. The task is to determine the number of each type of solar panel that should be produced per year to maximize profit. To solve this problem, we need to find the profit function by subtracting the cost function from the revenue function. Once we have the profit function, we need to differentiate it with respect to each variable and equate the derivatives to zero to find the values of X and Y that produce the maximum profit. Then we can substitute these values in the profit function to get the maximum profit.The above approach is used in the given problem. The profit function is derived from the given revenue and cost functions, and its critical points are found by differentiating it with respect to X and Y. The values of X and Y that correspond to the maximum profit are then obtained by solving the system of equations obtained by equating the derivatives of the profit function to zero. Finally, the maximum profit is calculated by substituting these values in the profit function.The maximum profit that the company can achieve by selling the solar panels of both types is $1.66 million. Therefore, the company should produce 7,429 type A solar panels and 3,286 type B solar panels per year to maximize its profit.

In conclusion, we can say that the company can maximize its profit by producing 7,429 type A solar panels and 3,286 type B solar panels per year. The maximum profit that the company can achieve is $1.66 million.

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A because every input has one output

Answer:

Step-by-step explanation:

The lateral surface area is:

\(\\ \tt\longmapsto SA=2\pi rh[[/te]

\(\\ \tt\longmapsto SA=2\times 22}{7}\times (2.5)(9.25)\)

\(\\ \tt\longmapsto SA=145.23in^2\)

You are pushing a 40.0 kg crate across the floor. what force is needed to start the box moving from rest if the coefficient of static friction is 0.288?

The force needed to start the box moving from rest if the coefficient of static friction is 0.288 is 112.9 N.

Force is defined as an influence that causes an object to undergo a change in motion. Static friction: Static friction is a type of friction that must be overcome to start an object moving. The force needed to start the box moving from rest can be determined using the formula below:

Force of friction = Coefficient of friction × Normal force where: Coefficient of friction = 0.288

Normal force = Weight = mass × gravity (g) = 40.0 kg × 9.8 m/s² = 392 N

Force of friction = 0.288 × 392 N = 112.896 N (approx)

The force of friction is 112.896 N (approx) and since the crate is at rest, the force needed to start the box moving from rest is equal to the force of friction.

Force needed to start the box moving from rest = 112.896 N (approx) ≈ 112.9 N (rounded to one decimal place)

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The lateral surface area of the cylinder with a radius of 2 centimeters and a height of 2 centimeters is approximately 25.1 square centimeters.

To find the lateral surface area of a cylinder, we need to calculate the area of the side of the cylinder, which can be represented as a rectangle. The formula to find the lateral surface area of a cylinder is:

Lateral Surface Area = 2πr*h

where r is the radius of the base and h is the height of the cylinder.

In this case, the radius is given as 2 centimeters and the height is also given as 2 centimeters. So, plugging these values into the formula, we get:

Lateral Surface Area = 2π(2)(2) = 8π

Rounding this answer to the nearest tenth, we get:

Lateral Surface Area ≈ 25.1 cm2

Therefore, the lateral surface area of the cylinder with a radius of 2 centimeters and a height of 2 centimeters is approximately 25.1 square centimeters.

It is important to note that the lateral surface area of a cylinder does not include the area of the top and bottom circular bases. The lateral surface area only includes the area of the curved side of the cylinder.

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Answer:12x+64

Step-by-step explanation:

you x 8 and 3 (expand the bracket) and then x 8 and 8 =64

Answer:

x = 8

y = 8

Step-by-step explanation:

y = 8

2x - 3y = -8

We substitute 8 in for y and solve for x

2x - 3(8) = -8

2x - 24 = -8

2x = 16

x = 8

Let's Check the answer.

2(8) - 3(8) = -8

16 - 24 = -8

-8 = -8

So, x = 8 and y = 8 is the correct answer.

Answer:

x = 8 and y = 8.

Step-by-step explanation:

To solve the system of linear equations using the elimination method, we'll eliminate the variable "y" by substituting the given value of y into the second equation. Let's start:

Given equations:

y = 8

2x - 3y = -8

Substitute y = 8 into equation 2:

2x - 3(8) = -8

2x - 24 = -8

Next, we'll solve this equation for x:

2x - 24 = -8

2x = -8 + 24

2x = 16

x = 16/2

x = 8

Now that we have the value of x, we can substitute it back into equation 1 to find the value of y:

y = 8

So, y = 8

Therefore, the solution to the given system of equations is x = 8 and y = 8.

Answer:

cos is used if there is adjacent and hypotenuse

Answer:

Step-by-step explanation:

step one:

let us calculate the percentage increase

(225/2)*100

=0.06428*100

=6.42%

We know that the expression for exponential formula is

\(y = ab^x.\)

where

a = the amount before measuring growth or decay

= $3500

r = decay rate = 6.42%= 0.0642

x = number of time intervals that have passed that is between 1995 and 2007= 12years

since this problem is on groth we are going to replace "b" with (1+r),

hence the formula to model the cost is  

\(y = a(1+r)^x.\)

\(y=3500(1+0.0642)^1^2 \\\\y=3500(1.0642)^1^2 \\\\y=3500*2.109983 \\\\y=7384.94\)

The cost of tuition in the year 2007 (12 years later)  would be

$7384.94

Answer:

4

Step-by-step explanation:

x>4

it would be that symbol before the 36 but I don't have it

On multiplying 55 × 35, the answer is  1925.

The simplest way to start teaching multiplication is to establish the relationship between the concept and addition, which your pupils should already be familiar with. Make sure your students understand the first principle of multiplication—that it is just repeated addition—before continuing on.

Your youngster can learn that multiplication is actually just a means to repeatedly add multiple groups of the same number by using objects like blocks and small toys. For instance, ask your youngster to arrange the blocks into six groups of three by writing the issue 6 x 3 on a sheet of paper.

        5 5

    ×  3 5

 ------------

     2 7 5

 + 1 6 5 ×

--------------

    1925

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Answer:

the correct is D the graph is a decreasing function

The point at which f(x) = g(x) of the graph is true is at (3.5, 10/3)

From the graph attached, we want to find the statement for which  f(x) = g(x) is true.

Now, this point on the graph where f(x) = g(x) is the point where the two graphs intersect each other.

From the attached graph, we see that the x-coordinate of such point of intersection is x = 3.5 while the y-coordinate of that same point is 10/3.

Thus, the point at which f(x) = g(x) of the graph is true is at (3.5, 10/3)

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Answer:

20,000 per sq. km.

Step-by-step explanation:

In this question, the variable k represents the total number of people in a single square km. Since we are provided both the total number of the population and the total square kilometers of the land, we can calculate the value of k by dividing the population size by the total land. Therefore, the calculation would be the following...

\(\frac{10,400,000 people}{520km^{2} }\) = k

20,000 per sq. km. = k

Finally, we can see that the value of k is 20,000 per sq. km.

Answer:

NL=10.82

Step-by-step explanation:

Start by finding the area of the triangle.  We do this by using c as the base.

1/2bh=1/2(12)(25)=150

Now that we know the area is 150, we turn the triangle so b is the base and use the formula again.  This time we’re looking for the height, which is NL.

1/2bh=

1/2(27.73)h=150

13.865h=150

h=10.8186

Rounded to the nearest hundredth, it’s NL=10.82

Yes, the test in an "if" function must evaluate to either a True or a False value.

An "if" function, also known as a conditional statement, is used to perform specific actions based on whether a certain condition is met or not. The test or condition within the "if" function needs to be evaluated as either True or False in order for the program to decide which action to execute. If the test evaluates to True, the program will perform the action within the "if" block, and if it evaluates to False, it will either execute the action in the "else" block (if present) or simply skip the "if" block.

When using an "if" function in programming, it is essential for the test or condition within the statement to result in a boolean value, which is either True or False. This is because the program needs to determine whether the condition is met or not, so it can decide which set of actions to execute. If the condition evaluates to True, the code within the "if" block will be executed, while if it evaluates to False, the code within the "else" block (if present) will be executed, or the "if" block will be skipped altogether.

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The height of the house is √175 feet if the piece of wire 16 feet long is strung from the top of the side of a house to the ground. option (C) is correct.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

As we can see the wire, wall and base making a right angle triangle;

So applying the Pythagoras theorem:

Supposing the length of the wall is x feet

16² = 9² + x²

x²= 175

x = √175 feet

Thus, the height of the house is √175 feet if the piece of wire 16 feet long is strung from the top of the side of a house to the ground. option (C) is correct.

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