is the graph of x-3y=6 and x-3y=9 parallel, perpendicular, or neither?

is the graph of y=4x+1 and y=-4x-2 parallel, perpendicular, or neither?

Answer: 9/20

Step-by-step explanation:

Answer:

9/20

Explanation:

0.45

Since there are two numbers after the decimal point, the denominator will be 100 (two zeroes). So, 45/100.

Simplify the fraction. Divide both the numerator and the denominator by 5.

9/20

Hope this helps! :)

Answer:

The answer is 84.

Step-by-step explanation:

The given equation is

4x*2 + 2x -5 = 0

Here a= 4, b= 2, c= -5

Since Discriminant= b*2 -4ac

Putting values

Discriminant= (2)*2 - 4(4)(-5)

= 4 + 80

= 84

Since our Discriminant(84) is >0 and is not a perfect square so the roots of the given equation are unequal and irrational(real).

We can drag the particles in mass/grams measurement to the corresponding descriptions as follows:

1.  1.6744 × 10⁻²⁴: Two electrons and 0ne proton

2. 5.021 × 10⁻²⁴: Two protons and one neutron

3. 5.0224 × 10⁻²⁴: One proton and two neutrons

4. 3.3484  × 10⁻²⁴: One electron, one proton, and one neutron

To match the measurements to the descriptions first note that one neutron is 1.6749 × 10⁻²⁴. One proton is equal to  1.6726 × 10⁻²⁴ and one electron is equal to  9.108 × 10⁻²⁸.

To obtain the right combinations, we have to add up the particles to arrive at the constituents. So, for the figure;

1.6744 × 10⁻²⁴, we would

Add 2 electrons and one proton

= 2(9.108 × 10⁻²⁸) + 1.6726 × 10⁻²⁴

= 1.6744 × 10⁻²⁴

The same applies to the other combinations.

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a. The middle 68% of per capita energy consumption rates would be between 29.3 million BTU and 67.1 million BTU.

b. The middle 95% of per capita energy consumption rates would be between 10.4 million BTU and 86.0 million BTU.

a. According to the empirical rule, for a distribution that is approximately unimodal and symmetric, approximately 68% of the data falls within one standard deviation of the mean. In this case, the mean is 48.2 million BTU and the standard deviation is 18.9 million BTU. Therefore, we can expect the middle 68% of the data to be within one standard deviation of the mean, which gives us a range of 48.2 - 18.9 = 29.3 million BTU to 48.2 + 18.9 = 67.1 million BTU.

b. Similarly, the empirical rule tells us that approximately 95% of the data falls within two standard deviations of the mean. Using the same mean and standard deviation values, we can calculate the range for the middle 95% of the data. Two standard deviations below the mean is 48.2 - 2(18.9) = 10.4 million BTU, and two standard deviations above the mean is 48.2 + 2(18.9) = 86.0 million BTU. Therefore, we can expect the middle 95% of the data to be within the range of 10.4 million BTU to 86.0 million BTU.

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The pairs of expressions (a), (b), (c), and (d) are not logically equivalent because they do not yield the same truth value when p and q are assigned certain values.

For (a):
p → q is false if p is true and q is false, but q → p is true in this case. Therefore, these expressions are not logically equivalent.

For (b):
¬p → q is true if p is false and q is true, but ¬p ∨ q is false in this case. Therefore, these expressions are not logically equivalent.

For (c):
(p → q) ∧ (r → q) is false if p is true, q is false, and r is true, but (p ∧ r) → q is true in this case. Therefore, these expressions are not logically equivalent.

For (d):
p ∧ (p → q) is true if p is true and q is true, but p ∨ q is false in this case. Therefore, these expressions are not logically equivalent.

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Answer:

So I had this question too so I got the number of miles are shown by how mush winston walked. winston and wilfred walked 2.5 miles, and wayne walked 3 miles.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

1/81

(1/9)^2

Thanks me later ☺️

Answer:

The answer is 0.02

Step-by-step explanation:

1/50=0.02

If the sum of squares for error (SSE) is 40 and the sum of squares due to the model (SSM) is 60, therefore, the answer is (c) 0.60.

Based on your question,  the coefficient of determination (R²) for a simple linear regression, given the sum of squares for error (SSE) is 40 and the sum of squares due to the model (SSM) is 60.

To calculate R², follow these steps:

1. Calculate the total sum of squares (SST): SST = SSE + SSM
2. Divide SSM by SST: R² = SSM / SST

Now, let's apply the values from your question:
To calculate, we use the formula:
= SSM / SSM + SSE)

Plugging in the given values, we get:
= 60 / (60 + 40) = 0.6
SST = SSE + SSM = 40 + 60 = 100
R² = SSM / SST = 60 / 100 = 0.60

So, the coefficient of determination (R²) is 0.60, which corresponds to option (c).

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Answer:

  a) see attached

  b) 15015 meters

Step-by-step explanation:

You want the voltage, current, resistance, and power for each component of the circuit shown in the diagram.

The relevant circuit relations are ...

Given current and resistance for element 1, we immediately know its voltage is ...

  V = IR = (4)(10) = 40 . . . . volts

Given the voltage on element 3, we know that parallel element 2 has the same voltage: 30 volts.

Given the voltage at T is 90 volts, the sum of voltages on elements 1, 2, and 4 must be 90 volts. That means the voltage on element 4 is ...

  90 -(40 +30) = 20

The current in elements 1, 4, and T are all the same, because these elements are in series. They are all 4 amperes.

That 4 ampere current is split between elements 2 and 3. The table tells us that element 2 has a current of 1 ampere, so element 3 must have a current of ...

  4 - 1 = 3 . . . . amperes

The resistance of each element is the ratio of voltage to current:

  R = V/I

Dividing the V column by the I column gives the values in the R column.

Note that power source T does not have a resistance of 22.5 ohms. Rather, it is supplying power to a circuit with an equivalent resistance of 22.5 ohms.

Power is the product of voltage and current. Multiplying the V and I columns gives the value in the P column.

Note that the power supplied by the source T is the sum of the powers in the load elements.

We found that the transmitter is receiving a power of 90 watts, so its operating frequency is ...

  (90 W)×(222 Hz/W) = 19980 Hz

Then the wavelength is ...

  λ = c/f

  λ = (3×10⁸ m/s)/(19980 cycles/s) ≈ 15015 m/cycle

The wavelength of the broadcast is about 15015 meters.

__

Additional comment

The voltage and current relations are "real" and used by circuit analysts everywhere. The relationship of frequency and power is "made up" specifically for this problem. You will likely never see such a relationship again, and certainly not in "real life."

Kirchoff's voltage law (KVL) means the sum of voltage rises (as at T) will be the sum of voltage drops (across elements 1, 2, 4).

Kirchoff's current law (KCL) means the sum of currents into a node is equal to the sum of currents out of the node. At the node between elements 1 and 2, this means the 4 amps from element 1 into the node is equal to the sum of the currents out of the node: 1 amp into element 2 and the 3 amps into element 3.

As with much of math and physics, there are a number of relations that can come into play in any given problem. You are expected to remember them all (or have a ready reference).

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The approximate amount of paint needed =  438.03 cm²

The correct answer is an option (D)

We know that the formula for the surface area of the cylinder is :

A = (2 × π × r × h) + (2 × π × r²)

Here, the diameter of the can is 9 sm

So, the radius of the can would be,

r = d/2

r = 9/2

r = 4.5 cm

And the height of the can is h = 11 cm

Since the can is cylindrical, we use above formula of surface area of the cylinder to find the amount of paint needed.

Using above formula,

A = (2 × π × r × h) + (2 × π × r²)

A = (2 × π × (4.5) × (11)) + (2 × π × (4.5)²)

A = 311.02 + 127.01

A = 438.03 cm²

Therefore, the correct answer is an option (D)

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For the given equation, we can complete the statements below:

Ariel is correct. For any value of y, the statement -12 = 3 is always true.

The equation has no solutions.

What is an equation?

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

The first part of the question is as given below.

Ariel simplifies the equation 3y - 12 = 3(y+1) and says it has no solution.

We are asked to complete the statements based on the above information.

Simplifying the equation,

 3y - 12 = 3(y+1)

3y - 12 = 3y + 3

-12 = 3

Since the y term in the above equation is not present, the given equation has indeed no solution.

Also if we take any value of y, the final answer will always be -12 = 3.

Therefore we can complete the statements as below:

Ariel is correct. For any value of y, the statement -12 = 3 is always true.

The equation has no solutions.

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Answer: Ariel is correct. For any value of y the statement -12=3 is always false and it’s no solution

Step-by-step explanation:

On solving the provided question, we can say that the value of the ellipse from give data will be = 4/9 + 9/36 = OD. (-2,4±3√3)

In mathematics, an ellipse is a planar curve that encompasses two focus points and ensures that the sum of the two distances from any point on the curve to the focal points is constant. In doing so, the circle—a particular variety of ellipse with two equal focus points—is generalized. The ellipse, whose eccentricity is less than 1, indicates the area containing the points whose distances from its two foci add up to a certain amount. Running tracks in sporting arenas and 2D egg forms are two straightforward examples of ellipses in daily life.

\((x+2)^2/9 + (y-4)^2/ 36 = 1\)

x = 0 and y = 1

4/9 + 9/36

OD. (-2,4±3√3)

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Answer: The second one

Step-by-step explanation: Because I said so nons

Answer:

Vertex is (2, 11)

Step-by-step explanation:

Call the vertex (h, k)

A quick way to find h is use the formula h = -b/2a

In your case, h = -8/-4 = 2

Now, to find k.

k = f(2) = -2(2)^2 +8(2) + 3

            = -8 + 16 + 3

             = 11

Vertex is (2, 11)

Answer: a) 35% b) 39

Step-by-step explanation:

Answer:

A) 35% B) 39

Step-by-step explanation:

do 14÷40=35% and you already know that have of 60 is 30 so you do 40 ÷60 and see if it is close then you go down one to 39÷60=65%

Answer:

d.90l

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

\( \sin(60) = \frac{ \frac{5 \sqrt{3} }{2} }{a} \\ a = \frac{ \frac{5 \sqrt{3} }{2} }{ \sin(60) } = 5 \\ \cos(60) = \frac{b}{5} \\ b = 2.5 = \frac{5}{2} \)

The sum angle measure of the two angles I've marked in red is 180°

so when the given angle is 120° , the other angle I marked in red is 60° , since 120+60=180

to find the measure of C we should know the measure of other two angles of the triangle , and we know

the sum angle measure of triangle is 180° according to this rule :

(n-2)180 , where n is the number of the sides pf polygon

let's name the other two angles of the triangle as A and B

so

A+B+C=180

60+64+C=180

124+C=180

C=180-124

C=56°

so the measure of C is 56°

HOPE IT HELPS

PLEASE MARK ME AS BRAINLIEST

Answer:

the answer is in the picture

Step-by-step explanation:

1. One of the planes parallel to plane WXT is the plane WXY.2. Two segments parallel to VU are AB and CD.3. Two segments parallel to SW are PQ and RS.4. Two segments skew to XY are QR and PS.5.

Two segments skew to VZ are RT and PU.A plane parallel to plane WXT:Consider the following figure below: Here, WX is parallel to YZ. Now, any plane which passes through any of the point, say X and Y, which lie on the line WX and YZ respectively, will be parallel to plane WXT. One of such plane is plane WXY.

Two segments parallel to VU:Segments AB and CD are parallel to VU in the following figure below:Two segments parallel to SW:Segments PQ and RS are parallel to SW in the following figure below:Two segments skew to XY:Segments QR and PS are skew to XY in the following figure below:Two segments skew to VZ:Segments RT and PU are skew to VZ in the following figure below:

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The surface given by the equation \(4x^2 - 16y^2 + z^2 = 16\) is a hyperboloid of two sheets. It consists of two distinct surfaces that intersect along the z-axis and open upwards and downwards.

To identify the surface defined by the equation \(4x^2 - 16y^2 + z^2 = 16,\) we can analyze the equation and determine its geometric properties.

First, let's rewrite the equation in a standard form:

\(4x^2 - 16y^2 + z^2 = 16\)

By rearranging terms, we have:

\((x^2/4) - (y^2/1) + (z^2/16) = 1\)

Comparing this equation to the standard form of a hyperboloid, we can see that the x and z terms have positive coefficients, while the y term has a negative coefficient. This indicates that the surface is a hyperboloid of two sheets.

The trace of the surface can be obtained by setting one variable constant and examining the resulting equation. Let's consider the traces in the xz-plane (setting y = 0) and the xy-plane (setting z = 0).

When y = 0, the equation becomes:

\(4x^2 + z^2 = 16\)

This represents an ellipse in the xz-plane centered at the origin, with the major axis along the x-axis and the minor axis along the z-axis.

When z = 0, the equation becomes:

\(4x^2 - 16y^2 = 16\)

This represents a hyperbola in the xy-plane centered at the origin, with the branches opening along the x-axis and the y-axis.

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identify the surface from the following equation \(4x^2-16y^2 z^2=16\)

Answer:

x = -58

Step-by-step explanation:

18 + x = -40

-18 -18

x = -58

Angles opposite to the equal sides of an isosceles triangle are equal, so the third angle in this triangle is also 61.  Now, you know all the angles in the triangle, you can use the Triangle Sum Theorem, which says that all the angles in a triangle add up to 180.

x + 61 + 61 = 180

x + 122 = 180

x = 58

Hope this helped!

Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:

A. Perpendicular to the base: Rectangle

B. Parallel to the base: Triangle with dimensions equal to the base

C. Diagonal from vertex to vertex: Triangle with unknown dimensions

The measure of angle A, B, C are 60°,60°,60°

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.

The sum of angle in a polygon is 180°. i.e

A+B + C = 180°

therefore we can say that;

2x+2x + 3x-30 = 180

7x -30 = 180

7x = 180+30

7x = 210

divide both sides by 7

x = 210/7 = 30

therefore ;

angle A = 2× 30 = 60°

angle B = 2×30 = 60°

angle C = 3×30-30 = 90-30 = 60°

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Answer:

D

Step-by-step explanation:

He needs to buy 6 items

6 bags of chips

6*2.25= $13.5 so not possible

6 candy bars

6*1.5= $9 so possible

These statements knock out B and C because the dark gray needs to be able to include 6 on the y-axis to show that he could buy 6 candy bars leaving D and A. However, in D it shows that he could actually buy more than 6 candy bars and buy 8 which leaves him with 0 dollars left

8*1.5=$12

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

C(x) = 15            0 ≤ x ≤ 2

C(x) = 5x + 10    2 < x ≤ 6

C(x) = 50           x > 6

Step-by-step explanation:

Let's define

x: Gigabytes Used

C(x): Monthly Cost in dollars

The graph has three parts. In the first part, the cost has a constant value of 15. The closed circles indicate that endpoints (at 0 and 2) are included in this segment.

In the second part, a line (which pass through (2, 20) and (6,40)) is shown. Its parameters are:

slope = (40 - 20)/(6-2) = 5

y-intercept: 20 = 5*2 + b <=> b = 20 - 5*2 =  10

Therefore, the equation of the line is: y = 5x + 10

The open circle at the beginning of the line indicates that it is not present in the segment. The closed circle at the end of the line indicates that it is present in the segment.

In the third part, the cost has a constant value of 50. The open circle indicates that the endpoint (6,50) is not included in this segment.

Answer:

-18 + x = 11

x = 29

Step-by-step explanation:

To solve this, you can use the formula of a + b = c

\(-18 + x = 11\\-18 = 18\\11 + 18 = 29\\x = 29\)

Answer:

29

Step-by-step explanation:

Your equation can be -18+x=11. Since we don't know the number, we can use x. We are trying to find out a number that when it's added to -18, the answer will be 11.

Now, we solve the equation:

-18+x=11

x=11+18

x=29. Answer

To check this answer:

we can use our equation and substitute 29 for x.

-18+x=11

-18+(29)=11

11=11.

They are equal. Therfore, the answer is correct.