Is the following set a function?
{(-3, -27), (-2, -18), (1, -9), (0, 0), (1,9), (2, 18), (3, 27)}
A) Yes
B) No

it's a I know this because I'm in the 8th

Step-by-step explanation:

it's a

Answer:

6.64

Step-by-step explanation:

The nearest hundredth is the second digit after the decimal point.

6.6428571 rounded to the nearest hundredth is 6.64

Answer:

1.5 meters per second

Step-by-step explanation:

30 meters in 20 seconds. U need to "separate" the 30 seconds into 20 parts so u have to divide:

30/20 = 1.5

Answer: 1.5 meters

Step-by-step explanation:

To find how many meters in 1 second we need to make a unit. We'll use fractions in this case...

30 meters     ÷ 20               1.5 meters

--------------                    =       -----------------

20 seconds   ÷   20              1 second

This is a fancy was of saying 1.5 meters per 1 second.

The angle of rotation for the described transformation is

The movement or transformation described is form quadrant 4 to quadrant  2.

The transformation will require 180 degrees transformation.

In this type of transformation, both clockwise and the counter clockwise have similar effects

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Answer:

A. -1

B.10

C.0

Step-by-step explanation:

Use calculator*

Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

Answer: m=5

Step-by-step explanation:

Because the triangles are similar, AC/QS = AB/QR

Substituting in the given side lengths,

2/4 = m/10

1/2 = m/10 -> m=5

The coordinates of the triangle P'Q'R' is P'(x, y) = (- 4, - 1), Q'(x, y) = (- 2, - 2) and R'(x, y) = (1, 1), respectively.

In this problem we know the three vertices of a triangle on a Cartesian plane and we must determine the coordinates of its image by applying rigid transformations. According to the statement, the vertices of the image are obtained by applying a translation formula:

P'(x, y) = P(x, y) + T(x, y)        (1)

Where:

If we know that P(x, y) = (2, - 4), Q(x, y) = (4, - 5), R(x, y) = (7, - 2) and T(x, y) = (- 6, 3), then the coordinates of the vertices of the image are:

P'(x, y) = (2, - 4) + (- 6, 3)

P'(x, y) = (- 4, - 1)

Q'(x, y) = (4, - 5) + (- 6, 3)

Q'(x, y) = (- 2, - 2)

R'(x, y) = (7, - 2) + (- 6, 3)

R'(x, y) = (1, 1)

The coordinates of the triangle P'Q'R' is P'(x, y) = (- 4, - 1), Q'(x, y) = (- 2, - 2) and R'(x, y) = (1, 1), respectively.

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The measure of second angle and third angle of the isosceles triangle will be equal to 69° each.

What is an isosceles triangle ?

An isosceles triangle is a triangle which has two equal sides and two equal angles.

It is given that the first angle of an isosceles triangle is 42°. In a triangle sum of all angles is equal to 180°.

We know that in an isosceles triangle the measure of two angles and two sides are equal.

The measure of first angle is 42°. Let's assume the measure of second angle is x this meant the measure of third angle will be x too.

∵ Sum of three angles of a triangle = 180°

∴ 42 ° + ( x + x ) = 180°

or

42 ° + ( 2x ) = 180°

2x = 180° - 42°

2x = 138°

or

x = 69°

As measure of both unknown angles is same , so second angle and third angle will have a measure of 69° each.

Therefore , the measure of second angle and third angle of the isosceles triangle will be equal to 69° each.

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Answer:

what do you need to be helped with please

====================================================

Explanation:

When x = 0, we have y = 18. The y intercept value is 18. This is the initial value, and it's the value of 'a' in the equation below

y = a*b^x

The value of b is tied to the growth or decay rate, depending on if b > 1 or if 0 < b < 1 respectively.

In this case, we have growth due to y increasing as x increases. They increase together.

When x increases by 1 like this, the value of b can be determined by dividing any y term over its previous value. So for instance, we can say b = 21.6/18 = 1.2 or we could say b = 25.92/21.6 = 1.2

Then note how 1.2 = 6/5, which means b = 6/5

Therefore, y = a*b^x becomes y = 18(6/5)^x

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

We can confirm this equation by plugging in x values from the table and we should get the y values, or f(x) values, listed

Example: plug in x = 0 to find that

y = 18(6/5)^x

y = 18(6/5)^0

y = 18(1)

y = 18 which matches

Then try x = 1

y = 18(6/5)^x

y = 18(6/5)^1

y = 18(1.2)

y = 21.6 that also matches

I'll let you confirm the other x values.

a.) The equation for the problem is 3X + 4 = 27. Solving it, we find X = 7.67 (rounded).

b.) The solution for X in the equation "Four more than three times a number is equal to 27" is approximately X = 7.67. This satisfies the statement, as when we multiply 7.67 by 3 and add 4, we get 27.

a.) Let's write the equation for this problem using X as the variable. The problem states that "Four more than three times a number is equal to 27." We can translate this into an equation as follows:

3X + 4 = 27

To solve this equation for X, we need to isolate X on one side of the equation. We can do this by subtracting 4 from both sides:

3X = 27 - 4

3X = 23

Next, we can divide both sides of the equation by 3 to solve for X:

X = 23/3

Therefore, the solution for X is X = 7.67 (rounded to two decimal places).

b.) Findings Statement: The solution for X in the equation "Four more than three times a number is equal to 27" is X = 7.67. This means that if we take the number 7.67, multiply it by 3, and add 4, we will obtain 27. Thus, the original statement is satisfied when the unknown number is approximately 7.67.

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Answer:

5 ≤ L ≤ 35

Step-by-step explanation:

Let w represent the width of the rectangle.

The perimeter (P) of the rectangle is given by:

P = 2w + 2L

Where L is the length of the rectangle.

We know that w = 30 cm and that the perimeter is between 100 and 160 cm. We can now set up our compound inequality:

100 ≤ 2(30) + 2L ≤ 160

100 ≤ 90 + 2L ≤ 160

10 ≤ 2L ≤ 70

We can now divide both sides by 2 to solve for L:

5 ≤ L ≤ 35

Therefore, the compound inequality that represents the graph of a rectangle with a width of 30 centimeters and a perimeter of 100 centimeters to 160 centimeters is:  5 ≤ L ≤ 35

Answer:

20%

Step-by-step explanation:

The Length of the rod is 3/5 meters.

The civil engineer wants to find the length of a rod that stretches for 1 meter and can be given by the function x=2y^(3/2).

To find the length of the rod, we need to integrate the function x=2y^(3/2) with respect to y. Integrating both sides of the equation,

we have:'int dx = int 2y^(3/2) evaluating the left-hand side gives x = 2/5 y^(5/2) + C, where C is the constant of integration. To find the value of C,

we use the given information that the rod stretches for 1 meter. At y = 0, x = 0 since the rod has no length when it is not stretched. At y = 1, x = 1 since the rod stretches for 1 meter.

Therefore, we have:1 = 2/5 (1)^(5/2) + C1 = 2/5 + CC = 3/5 Substituting C = 3/5 back into the equation for x,

we have:x = 2/5 y^(5/2) + 3/5

The length of the rod is given by the value of x when y = 1. Substituting y = 1,

we have:x = 2/5 (1)^(5/2) + 3/5 = 3/5

The length of the rod is 3/5 meters.

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Answer: 156.38 m

Step-by-step explanation:

Using the arc length formula, the answer is \(2\pi(8^2) \cdot \frac{140}{360} \approx 156.38\)

Answer:

\(P(win) = 0.4722\)

Step-by-step explanation:

Given

\(n = 36\) --- slots

\(Even = 17\) i.e. even numbers between 1 and 34 (inclusive)

Required

\(P(win)\)

The probabiity of winning is the number of even numbers divided by the total slot;

i.e.

\(P(win) = \frac{Even}{n}\)

So, we have:

\(P(win) = \frac{17}{36}\)

\(P(win) = 0.4722\)

The probability of obtaining exactly two 6's in four rolls of a fair die is approximately 0.1608, or about 16.08%.

In probability theory, an outcome is the result of a random experiment, such as rolling a die, flipping a coin, or drawing a card from a deck. An outcome can be a single event, such as rolling a 3 on a die, or a combination of events, such as rolling a 1 and then a 4 on two consecutive rolls of a die.

The probability of an outcome is a number between 0 and 1 that measures the likelihood of that outcome occurring. A probability of 0 means that the outcome is impossible, while a probability of 1 means that the outcome is certain. For example, the probability of rolling a 7 on a single roll of a standard die is 0, because there is no face on the die with a 7. The probability of rolling a 1, 2, 3, 4, 5, or 6 is 1/6 each, because each face on the die has an equal chance of showing up.

The probability of obtaining a 6 on a single roll of a fair die is 1/6. The probability of not obtaining a 6 on a single roll is 5/6.

To obtain exactly two 6's in four rolls, we can use the following approach:

So the probability of obtaining exactly two 6's in four rolls of a fair die is approximately 0.1608, or about 16.08%.

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Answer:

The answer is C.

ooooooooooooo

Answer:

5.7, 4.6, 5.6, 6.7

Step-by-step explanation:

Answer:

2.63+3.07= 5.7

9.4-4.8= 4.6

3.92+1.68= 5.6

8.5-1.8= 6.7

Answer:

yes

Step-by-step explanation:

you didn't provide a question

After answering the presented question, we can conclude that probability Therefore, the probability of 30 or more seconds between vehicle arrivals is approximately 0.0498.

Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing a rare event and 1 representing an inescapable event. Switching a fair coin and coin flips has a chance of 0.5 or 50% because there are two equally likely outcomes. (Heads or tails). Probabilistic theory is an area of mathematics that studies random events rather than their attributes. It is applied in many fields, including statistics, economics, science, and engineering.

Sketch of exponential probability distribution with mean of 12 seconds:

   |                            

   |                            

   |              .            

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   |             . .            

   |             . .            

   |             . . .          

   |             . . .          

   |             . . .          

   |             . . .          

   |             . . .          

   |             . . . .        

   |             . . . .        

   |             . . . .        

   |             . . . . .      

   |             . . . . .      

   |_____________. . . . . . .

        0       12             X

The X-axis represents the time between vehicle arrivals, and the Y-axis represents the probability density. The peak of the distribution is at 12 seconds, which is the mean.

b. Probability of the arrival time between vehicles being 12 seconds or less:

Since the mean of the exponential distribution is 12 seconds, we can use the cumulative distribution function (CDF) to find the probability of the arrival time being 12 seconds or less:

\(P(X < = 12) = 1 - e^(-12/12) = 1 - e^(-1) ≈ 0.6321\)

Therefore, the probability of the arrival time between vehicles being 12 seconds or less is approximately 0.6321.

c. Probability of the arrival time between vehicles being 6 seconds or less:

\(P(X < = 6) = 1 - e^(-6/12) = 1 - e^(-0.5) ≈ 0.3935\)

Therefore, the probability of the arrival time between vehicles being 6 seconds or less is approximately 0.3935.

d. Probability of 30 or more seconds between vehicle arrivals:

\(P(X > = 30) = e^(-30/12) ≈ 0.0498\)

Therefore, the probability of 30 or more seconds between vehicle arrivals is approximately 0.0498.

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Therefore, the solution to the inequality 3(y + 1/4) > 3/4 is y > 0.

An inequality is a mathematical statement that shows a relationship between two values, which are not necessarily equal. Inequalities are represented using symbols such as > (greater than), < (less than), ≥ (greater than or equal to), and ≤ (less than or equal to). Inequalities are commonly used in algebra and other areas of mathematics, as well as in real-world applications such as finance, economics, and science. They can be used to represent constraints or limits on a variable, such as the maximum or minimum value that it can take.

Here,

We can solve the inequality 3(y + 1/4) > 3/4 by first distributing the 3 to the expression inside the parentheses:

3y + 3/4 > 3/4

Next, we can simplify by subtracting 3/4 from both sides:

3y > 0

Finally, we can solve for y by dividing both sides by 3:

y > 0/3

y > 0

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ANSWER: y = (1/2)x - 1.

To find the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1), we need to determine the slope of the tangent line and its y-intercept.

First, let's find the derivative of the function y = √(x - 3) using the power rule:

dy/dx = 1/(2√(x - 3))

Now, we can substitute x = 4 into the derivative to find the slope of the tangent line at that point:

m = dy/dx = 1/(2√(4 - 3)) = 1/2

So, the slope of the tangent line is 1/2.

Next, we can use the point-slope form of a line to find the equation of the tangent line. Given the point (4, 1) and the slope m = 1/2, the equation becomes:

y - y1 = m(x - x1)

Substituting the values (x1, y1) = (4, 1):

y - 1 = (1/2)(x - 4)

Simplifying the equation:

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

y = (1/2)x - 1

Therefore, the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1) is y = (1/2)x - 1.

Answer:

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

Step-by-step explanation:

Step 1: Find the derivative of the function

The derivative of a function gives the slope of the tangent line to the curve at any point. To find the derivative of the given function y = sqrt(x - 3), we can use the power rule of differentiation which states that:

d/dx (x^n) = nx^(n-1)

Applying this rule to our function, we get:

dy/dx = d/dx sqrt(x - 3)

To differentiate the square root function, we can use the chain rule of differentiation which states that:

d/dx f(g(x)) = f'(g(x)) * g'(x)

Applying this rule to our function, we have:

g(x) = x - 3

f(g) = sqrt(g)

So,

dy/dx = d/dx sqrt(x - 3) = f'(g(x)) * g'(x) = 1/(2*sqrt(g(x))) * 1

Substituting g(x) = x - 3, we get:

dy/dx = 1/(2*sqrt(x - 3))

So, the derivative of y with respect to x is 1/(2*sqrt(x - 3)).

Step 2: Evaluate the derivative at the given point

To find the slope of the tangent line at the point (4, 1), we need to substitute x = 4 into the derivative expression:

dy/dx = 1/(2*sqrt(4 - 3)) = 1/2

So, the slope of the tangent line at the point (4, 1) is 1/2.

Step 3: Use point-slope form to write the equation of the tangent line

Now that we know the slope of the tangent line at the point (4, 1), we can use point-slope form to write the equation of the tangent line. The point-slope form of a line is given by:

y - y1 = m(x - x1)

where (x1, y1) is the point on the line and m is the slope of the line.

Substituting the values x1 = 4, y1 = 1, and m = 1/2, we get:

y - 1 = (1/2)*(x - 4)

Simplifying this equation, we get:

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

So, the equation of the tangent line to the curve y = sqrt(x - 3) at the point (4, 1) is y = (1/2)x - 1/2.

Hope this helps!

We know that

• There are 40 working hours.

• The earning ratio is $15 per hour.

To know the total earning, we just need to multiply.

Ok, so the answer is 6.5574385243

but idk what it would be rounded...

Hope this helps.....

:)

Domain: all reals, (-∝, ∝)

All inputs for x result in a solution.

Answer:

A. x = 12, y = 11, z = 2

Step-by-step explanation:

\(x + y + z = 25\)

\(5x + y + 9z = 89\)

\( - 7x + 6y + 6z = - 6\)

\(x = 25 - y - z\)

\(5(25 - y - z) + y + 9z = 89\)

\( - 5y + y - 5z + 9z = 89 - 125\)

\(4z - 4y = - 36\)

\( \frac{4z - 4y}{4} = \frac{ - 36}{4} \)

\(z = y - 9\)

\( - 7(25 - y - (y - 9)) + 6y + 6(y - 9) = - 6\)

\( - 175 + 7y + 7y - 63 + 6y + 6y - 54 = - 6\)

\(26y - 292 = - 6\)

\(26y = 286\)

\(y = 11\)

\(z = 11 - 9 = 2\)

\(x = 25 - 11 - 2 = 12\)

\(x = 12\)

\(y = 11\)

\(z = 2\)