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The given equations of planes are: 15x - 3y + 12z = 2  & 2y = 10x - 8z

To determine whether these planes are parallel, perpendicular or neither, we need to compare the normal vectors of the planes. The normal vector of a plane is given by the coefficients of x, y and z in the equation of the plane.

The normal vector of the first plane (1) is [15, -3, 12] and the normal vector of the second plane (2) is [10, 2, -8/2] = [10, 2, -4].

Now, to check if the planes are parallel or perpendicular, we can take the dot product of the normal vectors. If the dot product is 0, then the planes are perpendicular, and if it is non-zero, then the planes are parallel.

The dot product of the normal vectors of the given planes is:

[15, -3, 12] · [10, 2, -4] = (15)(10) + (-3)(2) + (12)(-4) = 0

Since the dot product is zero, the planes are perpendicular to each other.

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Answer: Forgot to divide at the end

Step-by-step explanation:

To figure out your friend's error, solve the equation yourself.

When we do this, we realize adding 3 would make it 33. This shows that the friend likely forgot to divide by 25 to completely isolate x, and stopped at that step.

Hence, \(\frac{-1-3}{4-(-2)}\)  is the required fraction.

We know that the slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line.

To set up the slope formula for the line that passes through the points (-2, 3) and (4, -1), we can use the formula of the slope

i.e. \(m=\frac{y_2-y_1}{x_2-x_1}\)

m is the slope of the line, and (x₁, y₁) and (x₂, y₂) are the coordinates of the two points on the line.

So, x₁ = -2

y₁ = 3

x₂ = 4

y₂ = -1

Substituting the values in the formula

\(m = \frac{-1-3}{4-(-2)}\)

Hence, \(\frac{-1-3}{4-(-2)}\)  is the required fraction.

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Order of Operations: BPEMDAS

We are given the coordinates \((12 ,\ -2)\) and \((4 ,\ -6)\). Recall from our definition that they are in the format of \((x ,\ y)\). Therefore, we can set \(x_1 = 12 ,\ y_1 = -2 ,\ x_2 = 4 ,\ y_2 = -6\).

∴ the slope m of the coordinates \((12 ,\ -2)\) and \((4 ,\ -6)\) is equal to \(\displaystyle \frac{1}{2}\), or 0.5.

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Topic: Algebra I
Unit: Linear Equations

A batch of 140 semiconductor chips is inspected by choosing a sample of 5 chips without replacement and the different samples possible are 416,965,528.

A  batch of 140 semiconductor chips is inspected by choosing a sample of 5 chips without replacement.

Assume 10 of the chips do not conform to customer requirements

The different number of samples can be calculated by combinations and permutations.

Given n = 140 semiconductor chips

r = 5 chips without replacement

The number of different samples can be calculated using combinations formulae. The  batch of 140 semiconductor chips is inspected by choosing a sample of 5 chips without replacement.

n = 140

r = 5

10 of the chips do not conform to customer requirements.

order is not important,  whether chip selected last or at the first, by using the combinations formulae , we get

n! / (r!)(n! - r!)

140! / (5!) (140! - 5!)

140! / (5!) (135!)

So, the number of different samples possible are 416,965,528.

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Answer:

The answer is 5/10 multiply 1/2 by 5

Answer:

it is the 3rd one

Step-by-step explanation:

Answer:

it's e/g

Step-by-step explanation:

adjacent/hypotenuse

the third option, as stated by someone else, is hypotenuse/adjacent, makig it incorrect

As per the given Ratio difference between the amount of money spent and the amount of money saved in a week is $2.

A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other.

The ratio formula can be used to represent a ratio as a fraction. For any two quantities, say a and b, the ratio formula is a:b = a/b. Because a and b are separate amounts for two portions, the total quantity is given as (a + b).

et 5x be the money he spends and 4x be the amount he saves

therefore, 5x+4x= 18

9x= 18

x= 18/9= 2

Tom spends, 5×2 = $10

and he saves, 4×2= $8

Difference, = $10-$8= $2

Therefore, as per the given ratio in the question difference between the amount of money spent and the amount of money saved in a week is $2.

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Tom receives $18 from his father in a week. The ratio of the amount of

the money he spends to the amount of money he saves in a week is 5:4

What is the difference between the amount of money spent and

amount of money saved in a week?

Answer:

x = 4

Step-by-step explanation:

Subtract 2 from both sides of the equation

13x+2=4x+38

13x+2-2=4x+38-2

Simplify

13x=4x+36

Subtract 4x from both sides of the equation

13x=4x+36

13x-4x+36-4x

Simplify

9x = 36

Divide both sides of the equation by the same term

9x/9 = 36/9

Simplify

x = 4

[RevyBreeze]

Answer:

Step-by-step explanation:

\(13x + 2 = 4x + 38 \\ 13x - 4x = 38 - 2 \\ 9x = 36 \\ x = \frac{36}{9} \\ x = 4\)

Answer: the answer is just 2

1) Functonal

2) Hedonic

The functional need for touch (NFTs) refers to individuals using touch to evaluate products, while the hedonic need for touch (NFTs) refers to individuals touching things because they find the tactile sensation pleasurable.

The functional need for touch (NFTs) is rooted in the practical aspect of touch. It pertains to individuals utilizing the sense of touch to evaluate products. When evaluating products, people often rely on tactile feedback to assess qualities such as texture, material, weight, and durability.

On the other hand, the hedonic need for touch (NFTs) is driven by the pleasurable sensation of touching objects.

Some individuals simply enjoy the tactile experience itself, finding pleasure in the sensation of running their fingers over different surfaces, textures, or shapes.

This pleasure-seeking aspect of touch can be soothing, comforting, or even arousing for some people. It can range from appreciating the smoothness of a polished stone to the satisfying feedback of pressing a button on a mechanical keyboard.

Both the functional and hedonic aspects of touch play a significant role in human interactions with the physical world, influencing consumer behaviors, preferences, and overall sensory experiences.

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Answer:

-2.2

Step-by-step explanation:

m = y2 - y1/ x2- x1

m = -5 - 6/ 2 --3

m = -11/5

m = -2.2

Answer:

360 cm

Step-by-step explanation:

volume= length x width x height

8*5*9=360 cm

Answer:

360cm

Step-by-step explanation:

All you have to do is multiply the numbers.

To break it up, you can first multiply 8 and 5.

8 x 5 = 40.

Now that you have 40, multiply that by 9.

40 x 9 = 360.

Apply the unit: cm

360cm is your answer.

Answer:

A

Step-by-step explanation:

First you find the volume of the cube which is 512. Then you find the volume of the cone which is 133.97333333 and so on. Lastly you subtract 512 by 133.973333333 (and so on) which is 378.026667. Rounded the answer would be 378.0 which is answer A.

Plz mark brainliest!!! I spent lot of time on this.

Answer:

30.453

Step-by-step explanation:

n = (3000+45.3)/100

=     n = 3045.3/100

=     n = 30.453

Descartes's number is 30.453

No, the sample in this case is not random.

The sample in this case is not random. Random sampling involves selecting individuals from a population in such a way that each individual has an equal chance of being selected. In the given scenario, the sample consists only of students who buy hot lunch on a particular day.

This sampling method is not random because it introduces a bias by including only a specific subgroup of students who have chosen to buy hot lunch. It does not provide an equal opportunity for all students in the population to be selected for the survey.

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Answer:

Below

Step-by-step explanation:

Z score is the ± standard deviations from the mean

Answer:

Step-by-step explanation:

>First lets break down the problem...

Worker Pay : $14 per hour

Material Costs : $3 per shirt

Average 3 shirts per hour is made

Total expenses : $230

>Now create variables

Worker pay : 14h (h is hours)

Material Costs: 3s ( s is shirts)

Shirts made : 3sh (sh is shirts per hour)

> Plug-in variables to make an equation

14h + 3s = 230

>Solve if needed ( Use the Substitution Property)

Answer:

4,200 or 420

Step-by-step explanation:

4,200 if its 42,000 420 if its 4200 also 10 divided by 42000 or 10 divided by 4200.

Answer:

its 1

Step-by-step explanation:

Answer:

It point (-5,-3) lie on line y =mx-9

then it also satisfy the equation of line

\( - 3 = ( - 5) \times m - 9\)

\(m = - \frac{6}{ 5} \)

So the equation will be

\(y = ( \frac{ - 6}{5} )x - 9\)

Hope it helps you

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Answer:

What is the question?

Step-by-step explanation:

I dont see the question.

Step-by-step explanation:

1 fig.:not polygon

2 fig: polygon ,convex hexagon

3 fig.:polygon concave quadrilateral

4 fig.:polygon ,concave hexagon

Answer:

base of the triangle, height of the triangle, height of the prism.

Step-by-step explanation:

The formula for calculating the volume of the right triangle prism above is given as \( base area * height of prism \).

The base is a right triangle. Area of the right triangular base = ½*base*height of the triangle.

Therefore, the dimensions needed to find the volume of the prism are: "base of the triangle, height of the triangle, and height of the prism.

Answer:

The guy above me is correct its base of the triangle, height of the triangle, height of the prism

Step-by-step explanation:

I also got it correct on my quiz.

If the cube with 2.00 m wide and 2.00 m long and 2.00 m high has a weight of 900.00 n, then the cube exerts a pressure of 225 N/m².

To calculate the pressure exerted by the cube, follow these steps:

Step 1: To calculate the pressure exerted by the cube,  you need to consider its weight and the area over which it is exerting the force. The cube has a weight of 900 N and dimensions of 2.00 m x 2.00 m x 2.00 m.

Step 2: To find the pressure, we will use the formula:

Pressure (P) = Force (F) / Area (A)

Step 3: In this case, the force is the weight of the cube (900 N), and the area is the base of the cube (2.00 m x 2.00 m).

A = 2.00 m * 2.00 m = 4.00 m²

Step 4: Now, you can calculate the pressure:

P = 900 N / 4.00 m² = 225 N/m²

So, the cube exerts a pressure of 225 N/m².

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Answer: \(12< x \leq 20\)

Step-by-step explanation:

Given

x is at a distance of 20 or less i.e. x can be 20 or less

\(x\leq20\)

and it starts from the number 12 i.e.

\(12< x\)

In interval notation it is

\(12< x \leq 20\)

Answer:

23

110

Step-by-step explanation:

We have a + 1/a = 5

(a + 1/a)² = a² + (1/a²) + 2.a.1/a =  a² + (1/a²)  + 2

But (a + 1/a)² = 5² = 25

So a² + (1/a²) = 25 - 2 = 23

(a + 1/a)³ = a³ + 3a²(1/a) + 3a(1/a)² + (1/a)2

= a³ + 1/a³ + 3a + 3/a

= a³ + 1/a³ + 3(a + 1/a)

= a³ + 1/a³ + 3(5)

=  a³ + 1/a³ + 15

But (a + 1/a)³ = 5³ = 125

So

a³ + 1/a³ + 15 = 125

a³ + 1/a³  = 110

Answer:

23 and 110

Step-by-step explanation:

using the expansion

(a + b)² = a² + 2ab + b² , then

a + \(\frac{1}{a}\) = 5 ( square both sides )

(a + \(\frac{1}{a}\) )² = 5²

a² + 2(a × \(\frac{1}{a}\) ) + \(\frac{1}{a^2}\) = 25

a² + 2(1) + \(\frac{1}{a^2}\) = 25

a² + 2 + \(\frac{1}{a^2}\) = 25 ( subtract 2 from both sides )

a² + \(\frac{1}{a^2}\) = 23

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

using the expansion

(a + b)³ = a³ + b³ + 3ab(a + b) , then

a + \(\frac{1}{a}\) = 5 ( cube both sides )

(a + \(\frac{1}{a}\) )³ = 5³

a³ + \(\frac{1}{a^3}\) + 3(a × \(\frac{1}{a}\) )(a + \(\frac{1}{a}\) ) = 125

a³ + \(\frac{1}{a^3}\) + 3(1)(5) = 125

a³ + \(\frac{1}{a^3}\) + (3 × 5) = 125

a³ + \(\frac{1}{a^3}\) + 15 = 125 ( subtract 15 from both sides )

a³ + \(\frac{1}{a^3}\) = 110

Answer:

0 Joules (No work)

Step-by-step explanation:

The amount of work done on an object is equal to the force applied to the object times the distance over which the force is applied. In this case, the force applied to the car is 100 newtons, but the car does not move, so the distance over which the force is applied is 0 meters.

Therefore, the amount of work done on the car is 100 newtons * 0 meters = 0 joules. This means that no energy has been transferred to or from the car as a result of the force applied to it.

Answer:

$100.00

Step-by-step explanation:

5 and above ex: 150 =200 140=100 under 5 keep the first letter then turn the other numbers into 0's 5 and above make the first number go up one then turn the rest of the numbers in to 0's