I will mark you brainliest! Which point is a solution to y > 5x + 1 ?

Answer: y= up 6. X= right 6.

Step-by-step explanation: it would be appreciated if you could give me brainliest. (i need one more to become an expert!)

To create a square with 50px sides, we need to draw four lines that are each 50px long and perpendicular to one another.

A square is a quadrilateral (a four-sided shape) with four equal sides and four equal angles of 90 degrees each. To create a square with 50px sides, we need to follow a few steps.

Step 1: Draw a line that is 50px long using a ruler or any other measuring tool.

Step 2: At the end of the line, draw a second line that is also 50px long and perpendicular to the first line. This will form the first side of the square.

Step 3: From the end of the second line, draw a third line that is also 50px long and perpendicular to the second line. This will form the second side of the square.

Step 4: Finally, draw a fourth line that is 50px long and perpendicular to the third line, connecting back to the starting point of the first line. This will form the remaining two sides of the square.

By following these steps, you have successfully created a square with 50px sides.

In summary, a square is a four-sided shape with four equal sides and angles of 90 degrees each. The resulting shape will be a square with 50px sides.

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Probability is the mathematical way to think about uncertain or random behavior.

Probability is a branch of mathematics that quantifies uncertainty and random events. It provides a framework to analyze and understand the likelihood of different outcomes in various situations. By assigning numerical values between 0 and 1, probability measures the chance of an event occurring.

It allows us to make informed decisions, assess risks, and predict behavior in fields such as statistics, economics, and science. Probability helps us reason about uncertain phenomena, account for variability, and determine the likelihood of specific outcomes.

It provides a mathematical foundation for understanding and interpreting the inherent randomness and unpredictability present in many aspects of our world.

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a) True, b) False, c) False, d) True, e) False, f) False, g) True

a) The statement is true. The symbol "∅" represents the empty set, which does not contain any elements. Since 0 is not an element of the empty set, the statement "0 ∈ ∅" is false.

b) The statement is false. The symbol "{0}" represents a set containing the element 0. The empty set, represented by "∅", does not contain any elements. Therefore, the empty set is not an element of the set {0}.

c) The statement is false. The symbol "{0}" represents a set containing the element 0. However, the empty set, represented by "∅", does not contain any elements. Therefore, the set {0} is not a subset of the empty set.

d) The statement is true. The empty set, represented by "∅", does not contain any elements. Every set is a subset of the empty set, including the set {0}.

e) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not an element of itself. Therefore, the statement "{0}∈{0}" is false.

f) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not a proper subset of itself. Therefore, the statement "{0}⊂{0}" is false.

g) The statement is true. The symbol "{∅}" represents a set containing the empty set. In this case, {∅} is a subset of itself because it contains the element ∅. Therefore, the statement "{∅} ⊆ {∅}" is true.

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Answer:

B 11,250

Step-by-step explanation:

Answer:

11,250

Step-by-step explanation:

Based on the number of hours that the group of students gave as their responses, the median 10 hours can be found to be and the mean is 9.1 hours.

To find the median, you have to first order the responses from lowest to greatest and then pick the middle number.

The responses given were:

5, 10, 12, 10, 12, 6

When ordered we get:

5, 6, 10, 10, 12, 12

The middle number is found by the formula:

= (Middle number₁ + Middle number₂) / 2

= (10 + 10) / 2

= 10 hours

To find the mean, simple add up all the responses and then divide by the number of students:

= (5 + 6 + 10 + 10 + 12 + 12) / 6 student

= 55 / 6

= 9. 2 hours

The question is:

find median and the mean number of hours for these students

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Answer:

Step-by-step explanation:

the x intercept takes coordinate (x,0)

the y intercept takes coordinate (0,y)

                                         x intercept                        y intercept

40: x+y=5                          (5,0)                                      (0,5)

x=0 , y=5, when y=0 x=5

41: x-y=5                            (5,0)                                      (0,-5)

x=0, -y=5 then y=-5, when y=0, x=5

42: 3x+4y=12                     (4,0)                                      (0,3)

x=0, 4y=12⇒y=12/4⇒y=3

y=0, 3x=12⇒x=12/3⇒x=4

43: 2x+3y=6                      (3,0)                                       (0,2)

x=0 , 3y=6⇒y=6/3=2

y=0 ,3y=6 ⇒ y=6/3 ⇒y=2

44: 3x+4y=-24                   (-8,0)                                      (0,-6)

x=0 , 4y=-24⇒y=-24/4 ⇒ y=-6

y=0 , 3x=-24⇒ x=-24/3⇒x=-8

45: 1/3x+2/3y=5/6            (5/2,0)                                    (0,5/4)

x=0 , 2/3 y=5/6 ⇒12y=15 ⇒ y=15/12 ⇒y=5/4

y=0 , 1/3 x=5/6 ⇒6x=15 ⇒x=15/6 ⇒x=5/2

46: x=-2                             (-2,0)                                   no y intercept

it is vertical line , there is no y intercept

47: y=15                    no x intercept                               (0,15)

horixzontal line, no x intercept

48: 3x-7y=8              (8/3,0)                                             (0,-8/7)

x=0 , -7y=8 ⇒y=-8/7

y=0 , 3x=8 ⇒x=8/3

Answer:

50

Step-by-step explanation:

Direct labour rate variance is $3,000

Direct labour efficiency variance is $5,000

Actual direct labour costs is $100,000

Therefore the standard direct labour production during the month of January can be calculated as follows

= 100,000/5,000-3,000

= 100,000/2,000

= 50

The probability that the product of the two chosen numbers will be even and greater than 2 is 9/25.

Probability is a measure of the likelihood or chance of a particular event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event that will not occur, and 1 represents a certain event that will always occur.

According to the given information:

There are 5 balls numbered 1 through 5 in the bowl. The total number of possible outcomes, when Josh chooses a ball, is 5, as there are 5 balls in the bowl.

Now let's consider the probability of choosing a ball with an even number. There are 3 even numbers (2, 4, and 5) out of the 5 possible numbers, so the probability of choosing a ball with an even number is 3/5.

Next, let's consider the probability of choosing a ball with a number greater than 2. There are 3 numbers (3, 4, and 5) greater than 2 out of the 5 possible numbers, so the probability of choosing a ball with a number greater than 2 is also 3/5.

To find the probability that the product of the two chosen numbers will be even and greater than 2, we need to multiply the probabilities of choosing an even number and choosing a number greater than 2.

Probability of choosing an even number: 3/5

Probability of choosing a number greater than 2: 3/5

Multiplying these probabilities, we get:

(3/5) * (3/5) = 9/25

So, the probability that the product of the two chosen numbers will be even and greater than 2 is 9/25.

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Option C: 0.4 for p and 32 for n Using a normal curve, one may approximate the sampling distribution using the sample size (n) and sample proportion (n is 6).

If np > 10 or n(1 - p) > 10 is true, the normal curve can be applied in this situation.

For example, if n = 28 and p = 0.3;

np = 28 × 0.3 = 8.4 < 10

It is thus useless.

B) In case n = 28 and p = 0.9;

np = 28 × 0.9 = 25.2 > 10 Ok

Not acceptable: n(1 - p) = 28(1 - 0.9) = 2.8

Thus, it cannot be applied.

C) With n = 32 and p = 0.4

np = 32 × 0.4 = 12.8 > 10 Ok

n(1 - p) = 32(1 - 0.4) = 19.2 > 10 Ok

Thus, it can be utilized.

D) When n is 32 and p is 0.2

np = 32 × 0.2 = 6.4 < 10 Not Ok

So it is useless.

Option C: 0.4 for p and 32 for n Using a normal curve, one may approximate the sampling distribution using the sample size (n) and sample proportion (n is 6).

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Answer:

[C] \(\frac{\pi }{2}\;radians\)

Step-by-step explanation:

The ray in the terminal position, after the rotation is call the "terminal side of the angle."

Note that quadrant of the unit circle of any given angle the radians would be in:

Quad I → 0 < θ < pi/2

Quad II → pi/2 < θ < pi

Quad III → pi < θ < 3pi/2

Quad IV → 3pi/2 < θ < 2pi

Hence, Answer is [C]  pi/2 radians

~lenvy~

Answer:

Well you have a 1/8 chance to land heads 4 times in a row. So baisicly you are saying that 6/8 flips are tails, thus 2/8 are heads (simplfyed will be 1/4 or 25%).

Answer:

A = £7.15 per hour

James' average pay per hour this year is £7.15 per hour

Step-by-step explanation:

Given;

Last year pay = £1,100 per month

This year, he's had a 4% increase in his monthly pay

This year pay P = 1,100 + 4% of 1,100 = 1,100 +1,100(0.04)

This year pay P = £1,144 per month

Yearly pay Tp= 12 × P = 12 × £1,144 = £13,728

Number of hours worked this year;

He worked 40 hours per week for 48 weeks in the year

N = 40 hours per week × 48 weeks per year

N = 1920 hours per year

Average pay per hour this year A;

A = Yearly pay/Number of hours worked this year

A = Tp/N

A = £13,728/1920hours

A = £7.15 per hour

James' average pay per hour this year is £7.15 per hour

To draw the image of quadrilateral ABCD under a translation by 1 unit to the right and 4 units up, we will move each point of the quadrilateral in the specified direction.

Let's assume the coordinates of the original quadrilateral ABCD are as follows:

A(x₁, y₁), B(x₂, y₂), C(x₃, y₃), D(x₄, y₄)

To perform the translation, we will add the given values to the x-coordinates and y-coordinates of each point:

A'(x₁ + 1, y₁ + 4), B'(x₂ + 1, y₂ + 4), C'(x₃ + 1, y₃ + 4), D'(x₄ + 1, y₄ + 4)

Now, plot the original quadrilateral ABCD and then move each point to its corresponding new position.

For example, if point A had coordinates (2, 3), after the translation, it will move to (2 + 1, 3 + 4) = (3, 7). Similarly, you can calculate the new coordinates for points B, C, and D using the same process.

Once you have the new coordinates for each point, connect them to form the image of the quadrilateral ABCD under the translation.

The new quadrilateral A'B'C'D' will be a shifted version of the original quadrilateral, 1 unit to the right and 4 units up.

It's important to note that the scale and proportions of the quadrilateral will remain the same after the translation. Only its position in the coordinate plane will change.

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Answer:

a

Step-by-step explanation:

an equation y=x is a line going straight up and y=-(x) is a line going straight down. These make a Cross shape which is symmetrical. If you put 5 in one and -5 in the other you will get the same number. they look the same on both sides.

Minimum distance between A and B is 36 meters using Pythagorean Theorem.

Let's call the distance between A and O "x" and the distance between B and O "y". From the diagram, we can see that:

x = 22 - 4t (since A is moving towards O at a speed of 4m/s)

y = 14 - 3t (since B is moving towards O at a speed of 3m/s)

To find the distance between A and B, we can use the Pythagorean theorem:

\(distance^2 = (x-y)^2 + (22+14)^2\)

Simplifying:

\(distance^2 = (22-4t-14+3t)^2 + 36^2\\distance^2 = (8-t)^2 + 1296\)

Next, we need to find the value of t when the distance between A and B is a minimum. To do this, we can take the derivative of the distance function with respect to t, set it equal to zero, and solve for t:

\(d/dt(distance^2) = 2(8-t)(-1) = 0\)

t = 8

Therefore, the minimum distance occurs when t = 8 seconds. Plugging this value of t back into the distance function, we get:

\(distance^2 = (8-8)^2 + 1296\)

distance = 36

So the minimum distance between A and B is 36 meters.

In summary, particle A starts at point P, 22 meters east of fixed point O, and moves towards O at a speed of 4 m/s. Particle B starts at point Q, 14 meters south of O, at the same time as A and moves towards O at a speed of 3 m/s. The distance between A and B t seconds after the start is given by the expression:

\(distance = \sqrt{((8-t)^2 + 1296)}\), where t: time in seconds. The minimum distance between A and B occurs at t=8 seconds, and the minimum distance is 36 meters.

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Answer:

w=14

Step-by-step explanation:

753.95-123.95=630

630 divided by 45=14

So w=14

Answer:

w=14

Step-by-step explanation:

753.95-123.95=630

630 divided by 45=14

So w=14

Step-by-step explanation:

Given the expression

\(-3m - [2m + (5 - m)] + 7\)

Step one

Firstly we have to open the inner bracket we have

\(-3m - [2m + 5 - m] + 7\)

Step two

we proceed further by opening up the next bracket we have

\(-3m - 2m -5 +m+ 7\)

Step three

we then have to collect like terms of m and rearrange.

\(=-3m - 2m+m -5+ 7\\=-4m+2\\=2-4m\)

The max value and min value can then be determined from these critical points.

To find the extreme values of a function subject to a constraint, we can use Lagrange multipliers. First, we set up the Lagrangian equation by multiplying the constraint by a scalar λ and adding it to the original function.

Then, we take the partial derivatives of the Lagrangian equation with respect to each variable and set them equal to zero. This will give us a system of equations to solve for the critical points.

Once we have the critical points, we need to determine which ones are maximums and which are minimums.

To do this, we can use the second derivative test. If the second derivative is positive at a critical point, it is a minimum. If the second derivative is negative, it is a maximum.

In summary, to find the extreme values of a function subject to a constraint using Lagrange multipliers, we set up the Lagrangian equation, solve for the critical points, and then use the second derivative test to determine which ones are maximums and which are minimums.

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The maximum value of f(x, y, z) is 26.5, and the minimum value is -29.

To find the extreme values of the function f(x, y, z) = 6x + 6y + 5z subject to the constraint 3x² + 3y² + 5z² = 29 using Lagrange multipliers, set up the following system of equations:

1. ∇ f = λ∇g

2. g(x, y, z) = 3x² + 3y² + 5z² - 29

where ∇f and ∇g are the gradients of f and g respectively, and λ is the Lagrange multiplier.

Taking the partial derivatives, we have:

∇ f = (6, 6, 5)

∇g = (6x, 6y, 10z)

Setting these two gradients equal to each other, we get:

6 = 6λx

6 = 6λy

5 = 10λz

Dividing the first two equations by 6\(\lambda\), we obtain:

x = ¹/λ

y = ¹/λ

Substituting these values into the third equation, we have:

5 = 10λz

z = ¹/2λ

Now, substitute x, y, and z back into the constraint equation to find the value of λ:

3(¹/λ)² + 3(¹/λ)² + 5(1/2λ)² = 29

6(¹/λ²) + 5(⁴/λ²) = 29

24 + 5 = 116λ²

116λ² = 29

λ² = ²⁹/₁₁₆

λ = ±√²⁹/₁₁₆

λ = ± √²⁹/2√29

λ = ± ¹/₂

We have two possible values for λ, λ = ¹/₂ and λ = ¹/₂

Case 1: λ = ¹/₂

Using this value of λ, we can find the corresponding values of x, y, and z:

x = ¹/λ = 2

y =¹/λ = 2

z = 1/2 λ = ¹/₂

Case 2: λ = -1/2

Using this value of λ, find the corresponding values of x, y, and z:

x = 1/λ = -2

y = 1/λ = -2

z = 1/(2λ) = -1

Now that we have the values of x, y, and z for both cases, substitute them into the objective function f(x, y, z) to find the extreme values.

For Case 1:

f(x, y, z) = 6x + 6y + 5z

= 6(2) + 6(2) + 5(1/2)

= 12 + 12 + 2.5

= 26.5

For Case 2:

f(x, y, z) = 6x + 6y + 5z

= 6(-2) + 6(-2) + 5(-1)

= -12 - 12 - 5

= -29

Therefore, the maximum value of f(x, y, z) is 26.5, and the minimum value is -29.

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Answer:

The answer is true.

Step-by-step explanation:

Because we are working on negative integers and if a negative number is leaning more to the right on a number line it is bigger.

Answer:

The question is asking what is the volume of water in the full pool.  It is 70 liters.

Step-by-step explanation:

Let P represent the volume of a full pool.

"2/5 of a kiddy pool was filled with water" can be written as:

(2/5)P.

"After pouring out 5/7  of the amount of [I assume from the 2/5P] water in the pool" can be written as:

(2/7)(2/5)P, or (4/35)P       [This represents the amount of water remaining in the pool after the above shenanigans.]

The we are told that when 62 liters are added back to the pool, it is full.  That can be written as:

62 + (4/35)P = P  [Add 62 liters to what was remaining. ((4/35)P), and we'll have P, a full pool, for a cool fool. [sorry]

62 = (31/35)P

P = 62(35/31)

P = 70 liters

Find the slope of the perpendicular line

When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are negative-reciprocals of each other.

⇒  if the slope of this line = - ²/₅

      then the slope of the perpendicular line (m) = ⁵/₂

Determine the equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

                                ⇒  y - (-8) =  ⁵/₂ (x - 2)

                                   ∴  y + 8 = ⁵/₂ (x - 2)

We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

                  since   y + 8 =  ⁵/₂ (x - 2)

                                    y =  ⁵/₂ x - 13

Answer:

(x+8)^2=40

Step-by-step explanation:

x^2+16x+24=0.

Well, to solve for this, you do:

1. (16/2)^2 to find what number should be in place of 24.

That, by the way, is 64.

2. There's no 64! We have to add 64-24 on both sides, which makes the equation

x^2+16x+64=40.

3. Since we know that (16/2)=8, using the completing the square formula, you know that it's going to be a variation of (x+8)^2 or (x-8)^2.

As we are adding for the middle term, it must be (x+8)^2.

4. Answer: (x+8)^2=40.

Sorry if this is too late :)

Answer:

2

Step-by-step explanation:

parallel lines have same slope.

y = 2x + 5

y = mx + b

m is the slope

b is y-intercept

Answer:

C.) I x - 1 I + 3

Step-by-step explanation:

Since the bottom of the line is 3 units up, the equation should have "+ 3". Since the bottom of the line is one unit to the right, the equation should have "x - 1"

Answer:

h(x)=20

Step-by-step explanation:

x=5

3(5)+5

15+5

20

Hope this helps!

Answer:20

Step-by-step explanation:

Hello!

So first you want to plug in 5 to all of the x

h(5) = 3(5) + 5

No you want to do 3(5)

3(5) = 15

h(5) = 15 + 5

Now you add 15 + 5

15 + 5 = 20

h(5) = 20

So your answer is 20