A point represents a location.

True
False

Answer:

y=15x

Step-by-step explanation:

Divide the change in y components of two points by the change in x components of a the points

60-30/4-2

30/2

=15

x=1

y=15

Equation: y=15x

I hope this helps :)

(someone please let me know if I'm incorrect and submit the correct answer)

Answer:

Part A: \(\frac{3}{5}\)

Part B: \(\frac{1}{2}\)

Step-by-step explanation:

We know that Alinn flipped a coin 20 times, and that 12 of those times resulted in heads. The other 8 times resulted in tails.

Part A wants us to find the experimental probability of the coin landing on heads. Experimental probability is the probability determined based on the experiments performed.

Part B wants us to find the theoretical probability of the coin landing on heads. Theoretical probability is determined based on the number of favorable outcomes over the number of possible outcomes.

Experimental probability is determined as # of times something occurred experimentally / total number of times.  

Since 12 of the 20 times that Alinn flipped the coin resulted in heads, this means that the experimental probability of Alinn flipping heads is \(\frac{12}{20}\), which simplifies down to \(\frac{3}{5}\).

Theoretical probability, as stated above, is the number of favorable outcomes / possible outcomes.

Our favorable outcome is flipping heads, and on a coin, there are two sides that a coin can land on: heads and tails. This means that there are two possible outcomes, and only one of them is favorable.

This means that our theoretical probability is \(\frac{1}{2}\).

The required coordinates of C' after rotating triangle ABC 90° clockwise about the origin are (4, -5).

To rotate a point in the Cartesian plane 90° clockwise about the origin, we can use the following transformation:

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

where (x, y) are the original coordinates and (x', y') are the new coordinates after rotation.

To find the coordinates of C' after rotating triangle ABC 90° clockwise about the origin, we can apply this transformation to point C(5, 4):

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

(x', y') = (4, -5)

Therefore, the coordinates of C' after rotating triangle ABC 90° clockwise about the origin are (4, -5).

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The value of cos F and sin E are equal to one another or they are equal angles since they have the same ratios

To solve this problem, we have to use the respective trigonometric ratio required.

Using SOHCAHTOA, we can use this to solve for all the unknown.

cos F

To solve for cos F, we can use the cosine value of F

\(cos F = \frac{adjacent}{hypothenuse} \\cos F = \frac{\sqrt{39} }{20}\)

Sin E

To solve for sin E, we can use the Sine value of E

\(sin E = \frac{opposite}{hypothenuse} \\sin E = \frac{\sqrt{39} }{20}\)

The value of cos F and sin E are the same.

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Answer:

- 14x²y

Step-by-step explanation:

Given

- 7x² × 2y

= - 7 × 2 × x² × y

= - 14x²y

Answer:

Its 12

Step-by-step explanation:

1.   Following PEMDAS, we first solve the equation inside the parentheses.

       -4(-2) = 8

       -12 ÷ 3 = -4

       -20 + 4 = -16

2.    Now, we have the following expression:

       8 + (-4) + (-16)

 3.  Again, following PEMDAS, we solve the equation inside the parentheses first.

       8 + (-4) + (-16) = 8 - 4 - 16

  4. Finally, we solve the equation from left to right.

       8 - 4 - 16 = 8 - (4 + 16)

       8 - (20) = -12

Therefore, the value of the expression is -12.

There is an open circle on –6. 5 and the arrow points to the right. The correct options are A and E.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is used to compare two statements.

The given expression is \(\rm x > -6.5\).

It means the value of x is more than -6.5.

Since the sign of equality is not there in the equation then at -6.5 will be an open circle. And the arrow points to the right.

The graph is shown below.

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The correct answer is: To express each individual outcome when repeatedly rolling a die until getting a 3, you can create a list using the numbers rolled and an ellipsis (...) to indicate repetition.

To express each individual outcome when repeatedly rolling a die until getting a 3, you can create a list using the numbers rolled and an ellipsis (...) to indicate repetition. Your answer would be:

Individual outcome: {1, 2, 4, 5, 6, 3}, {1, 2, 4, 5, 6, 1, 2, 4, 5, 6, 3}, {1, 2, 4, 5, 6, 1, 2, 4, 5, 6, 1, 2, 4, 5, 6, 3}, ...

In each list, you roll the die until you get a 3, and you can repeat this process infinitely. The ellipsis indicates that this pattern continues indefinitely.

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the lifetime of a radial tire that corresponds to the first percentile 36,250 miles

To identify the lifetime of a radial tire that corresponds to the first percentile, we need to find the value at which only 1% of the tires have a lower lifetime.

In a normal distribution, the first percentile corresponds to a z-score of approximately -2.33. We can use the z-score formula to find the corresponding value in terms of miles:

z = (X - μ) / σ

Where:

z = z-score

X = lifetime of the tire

μ = mean lifetime of the tires

σ = standard deviation of the lifetime of the tires

Rearranging the formula to solve for X, we have:

X = z * σ + μ

X = -2.33 * 2,510 + 42,100

X ≈ 36,250

Rounded to the nearest 10 miles, the lifetime of the tire that corresponds to the first percentile is 36,250 miles.

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Answer

180 - x

Step-by-step explanation:

opposite angles of a quadrilateral inscribed in a circle are supplementary

Answer:

180-x !!!

Step-by-step explanation:

i had some time to think about it

Answer:

Ok so for every 10 years the population grows by 500 people so by 2025 it would have grown 250 people so 8250 people

Answer:

Volcanic Eruptions, Earthquakes, Erosion

I am very sorry if this is wrong

Have a great rest of your day and good luck!

Answer:

the answer is a, b, and d

Step-by-step explanation:

erosion is caused by wearing down overtime

There are no extreme values of the function ƒ(x, y, z) = xy z^2 on the given intersection.

To find the extreme values of the function ƒ(x, y, z) = xy z^2 on the given intersection, we need to find the critical points.

First, let's substitute y = x into the equation of the sphere:

x^2 (x^2) z^2 = 4

Simplifying the equation, we have:

x^4 z^2 = 4

Taking the square root of both sides, we get:

x^2 z = ±2

Now, we can substitute y = x into the equation of the function:

ƒ(x, y, z) = x(x)(z^2) = x^2 z^2

Since we have x^2 z^2 in both the function and the equation of the sphere, we can substitute x^2 z^2 = 4:

ƒ(x, y, z) = 4

The function ƒ(x, y, z) = 4 is a constant function, which means it has no critical points.

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Answer:

1.11 is bigger

Step-by-step explanation:

Step-by-step explanation:

\( \frac{1}{u} + \frac{1}{v} = \frac{1}{f} \)

\( \frac{1}{v} = \frac{1}{f} - \frac{1}{u} \)

\( \frac{1}{v} = \frac{u - f}{uf} \)

\(v = \frac{uf}{u - f} \)

The maximum Number of  scholars in each row is 12. This means that the  scholars can be arranged in rows with an equal number of  scholars, and each row can have a  outside of 12  scholars.

To find the maximum number of  scholars in each row, we need to determine the  topmost common divisor( GCD) of the total number of  scholars in each section. The GCD represents the largest number that divides all the given  figures unevenly.  

Given that there are 24, 36, and 60  scholars in the three sections, we can calculate the GCD as follows    Step 1 List the  high factors of each number  24 =  23 * 31  36 =  22 * 32  60 =  22 * 31 * 51    

Step 2 Identify the common  high factors among the three  figures  Common  high factors 22 * 31    Step 3 Multiply the common  high factors to find the GCD  GCD =  22 * 31 =  4 * 3 =  12  

 thus, the maximum number of  scholars in each row is 12. This means that the  scholars can be arranged in rows with an equal number of  scholars, and each row can have a  outside of 12  scholars.

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Answer:

8.33

Step-by-step explanation:

1hr=60 minutes

?hr = 500 minutes

To find how many hours, divide 500 by 60

500/60 = 8.33

500 minutes = 8.33 hours

Answer:

\((-4)^{3\)*\(y^{2}\)

This should be right.

Answer:

It moves the x value 5 units to the left.

Step-by-step explanation:

"x - 5" means that we are subtracting 5 to whatever x value we are given. The "y" value doesn't change.

Since we are subtracting to the x value, we are going to move left 5 units.

Let's say we had the point (5, 5).

If we use the translation rule;

(5 - 5, 5)

(0, 5)

We moved the x value 5 units to the left.

Best of Luck!

The cylindrical coordinates are (r, θ, z) = (6√2, 20°, -9).

The given rectangular coordinates are (6, 2√3, -9)

To convert to cylindrical coordinates (r, θ, z), we must find r, θ, and z.

r = √(6^2 + (2√3)^2)

r = √(36 + 12)

r = √48

r = 6√2

Now,

tanθ = 2√3/6

θ = tan^-1(2√3/6)

θ = tan^-1(1/3)

θ = 20°

z: z = -9

Therefore, the cylindrical coordinates are (r, θ, z) = (6√2, 20°, -9).

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Answer: I think it's either 2 or 3 bc it's not number 4 and it's not number 1  for sure either one of those two

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

sqrt of 18 is irrational because you cannot put it in ratio notation

The builder conducted a survey of employees based on their trades by selecting a random sample from each trade.

In order to gather information about the employees and their specific trades, the builder decided to conduct a survey. To ensure the survey results are representative of the entire employee population, the builder employed a random sampling method. This means that a sample group was selected from each trade, chosen in a way that gives every employee an equal chance of being included in the survey.

Random sampling is a widely used technique in survey research as it helps minimize bias and ensures the sample represents the larger population. By selecting a random sample from each trade, the builder can obtain a diverse range of perspectives and experiences across different trades within the company. This approach allows for a comprehensive understanding of the employees' opinions, needs, and concerns specific to their respective trades.

By conducting a survey based on trades and using random sampling, the builder can gain valuable insights into the workforce's specific dynamics, identify any common issues or areas for improvement, and make informed decisions regarding training, resource allocation, or policy changes to better support each trade within the organization.

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Answer:

The answer is that the ball was in the air for 0.56 seconds when it was 54 feet above the ground. This was determined by using the Quadratic Formula to solve the equation 54 = -16s^2 + 96s for the variable s.

Step-by-step explanation:

To solve this equation, we can use the Quadratic Formula, which states that for a quadratic equation in the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

In this case, a = -16, b = 96, and c = -54. Plugging these values into the Quadratic Formula, we get:

s = (-96 +/- sqrt(96^2 - 4 * -16 * -54)) / (2 * -16)

= (96 +/- sqrt(9216 + 4352)) / -32

= (96 +/- sqrt(13,568)) / -32

Since we want the time (in seconds) that the ball was in the air, we need to find the positive solution to this equation. Thus, we have:

s = (96 + sqrt(13,568)) / -32

= (96 + 120) / -32

= 0.5625 seconds

Rounding this value to the nearest hundredth of a second, we get 0.56 seconds. This means that the ball was in the air for 0.56 seconds when it was 54 feet above the ground.

To solve this equation, we used the Quadratic Formula. This method allowed us to find the time (in seconds) that the ball was in the air by solving for the value of the variable s in the given equation. This helped Vue answer his question by providing a numerical value for the amount of time that the ball was in the air when it was 54 feet above the ground.

Answer:

9 , 16x^2 , 4z and 100y^2 are perfect Squares!

_____________________________________
What are Perfect Squares?

A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.

3 * 3 = 9
4 * 4 = 16
2 * 2 = 4
50 * 50 = 100

Therefore making those numbers perfect squares.
[NOTE: The numbers that are squared are still perfect squared, just a larger version!]

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Answer:

Step-by-step explanation:

Perfect squares are: 100y^2, 16x^2, and 9

sqrt of 100y^2 is 10y

sqrt of 16x^2 is 4x

sqrt of 9 is 3

The equation in vertex form is y = 2(x+3)² + 1. The vertex is (-3,1), the axis of symmetry is x = -3, and the direction of opening is upwards.

The vertex form of the equation is y = a(x-h)^2 + k, where (h, k) is the vertex. The axis of symmetry is x = h, and the direction of opening is determined by the value of a.

Using this formula, let us write each equation in vertex form and then identify the vertex, axis of symmetry, and direction of opening.

1. y = x² + 8x + 18

To write this equation in vertex form, we need to complete the square. y = x² + 8x + 18 is equivalent to y = (x+4)² - 2. Therefore, the equation in vertex form is y = (x+4)² - 2.

The vertex is (-4,-2), the axis of symmetry is x = -4, and the direction of opening is upwards.2

. y = -x² - 12x - 36To write this equation in vertex form, we need to complete the square. y = -x² - 12x - 36 is equivalent to y = -(x+6)² - 12. Therefore, the equation in vertex form is y = -(x+6)² - 12.

The vertex is (-6,-12), the axis of symmetry is x = -6, and the direction of opening is downwards.3. y = 2x² + 12x + 13To write this equation in vertex form, we need to complete the square. y = 2x² + 12x + 13 is equivalent to y = 2(x+3)² + 1.

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Given that the region bounded by the graphs of y = 3x and y = 4 − x².Let's find the intersection points of these two curves:y = 3xand y = 4 - x²⇒ 3x = 4 - x²⇒ x² + 3x - 4 = 0⇒ x² + 4x - x - 4 = 0⇒ x(x + 4) - 1(x + 4) = 0⇒ (x + 4) (x - 1) = 0⇒ x = -4 or 1

We have to check the interval for x: -4 ≤ x ≤ 1For finding the area of the region R by using a line integral. Firstly, we need to parameterize the region R.

Let's take P(x,y) as a point on R and the parameterization of R is given by:r(t) = ⟨t, 3t⟩ for -4 ≤ t ≤ 1The limits are -4 and 1 as discussed above.Now, let's calculate dr/dt as follows:r'(t) = ⟨1, 3⟩

Area of the region R can be computed as follows:A = ∫ᵧx F(x,y) dywhere, F(x,y) = xand the limits for y are:y = 3x ≤ y ≤ 4 - x² = 3x ≤ y ≤ 4 - x²The integral becomes:A = ∫₋₄¹ x ∫₃x⁴₋ₓ² dx dy⇒ A = ∫₋₄¹ ∫₀ⁿ x dy dx

Where n = 4 - x²So, integrating with respect to y and x:A = ∫₋₄¹ xy |₀ⁿ dx= ∫₋₄¹ x(4-x²-3x) dx= ∫₋₄¹ -x³+4x dx= [(-x⁴/4)+2x²]₋₄¹= (1/4)+32= 33/4 sq unitsThe area of the region R is 33/4 sq units.

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Answer:

405π cm3

Step-by-step explanation:

Answer:

The drum capacity is 180 liters.

Step-by-step explanation:

Let the capacity of the drum be c.  Then the contents of the drum at the beginning are (3/4)c, and

if 30 liters are drawn out, then the contents are (3/4)c - 30 liters = (7/12)c.

Here the LCD is 12, and so we have (9/12)c - (7/12)c = 30 liters, or

(2/12)c = 30 liters, or c = (12/2)(30 liters) = 180 liters

The drum capacity is 180 liters.

Answer:

The capacity of the drum is 180 liters

Step-by-step explanation:

3/4x - 30 = 7/12x

3/4x - 7/12x = 30

9/12x - 7/12x = 30

2/12x = 30

1/6x = 30

x = 30*6

x = 180 liters

Answer:

The slope is 2.

Step-by-step explanation:

slope = rise/run

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

= 6/3 = 2

Therefore, the slope is 2.