Find the equation of the line through the point (–2, –2) that is perpendicular to the line y = 2x – 1.
A.
y = –2x – 9/4
B.
y = 2x – 3
C.
y = –1/2x – 3
D.
y = –1/2x + 3

Answer: A. 4(8m-2) and 32m -8

Step-by-step explanation: First distribute the 4 to 8m and -2 to get 32m - 8 which is equal to 32m - 8.

32m - 8 = 32m - 8

Hope this helps! :)

Answer:

The first one

Step-by-step explanation:

4(8m-2)=32m-8

Answer:

x=3

Step-by-step explanation:

7+4(5/4x-1)=18

7+5x-4=18

3+5x=18

5x=15

x=3

Answer:

x = 3

Step-by-step explanation:

18 = 7 + 4(\(\frac{5}{4}\)x - 1)

18 = 7 + 5x - 4

18 = 3 + 5x

15 = 5x

x = 3

Answer:

47

Step-by-step explanation:

The cost of beginner classes is $7.6 and the cost of the advanced classes is $29.2

Addition, subtraction, multiplication, and division are the four basic algebraic operations.

Given that, x is the cost of beginner classes, and y is the cost of advanced classes.

The relationship between beginner classes and advanced classes is

x=0.5y-7

4x+3y=118

From the first equation, we can write

y=2x+14

Using this equation, we can write

4x+3(2x+14) =118

10x+42=118

i.e x=7.6

Substituting the value of x in the equation y=2x+14, we get

y=(2*7.6)+14

i.e y=29.2

The cost of beginner classes is $7.6, and the cost of advanced classes is $29.2.

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To determine the location of the maximum tensile bending stress with respect to the neutral axis, you need to find the point where the distance (y) is maximum.

To calculate the maximum tensile bending stress, you need to know the moment of inertia of the cross-sectional shape and the distance from the neutral axis to the point of interest.

The formula to calculate the maximum tensile bending stress (σ) is:

σ = (M * y) / I

where:

- M is the bending moment applied to the material

- y is the distance from the neutral axis to the point of interest

- I is the moment of inertia of the cross-sectional shape

Please provide the values for the bending moment (M), the moment of inertia (I), and the cross-sectional shape to calculate the maximum tensile bending stress and determine its location with respect to the neutral axis.

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Answer:

brainliest plss

Step-by-step explanation:

The Least Common Multiple (LCM) of 60 and 72 is 360

Answer:

3 gallons

Step-by-step explanation:

1/6+1/6=2/6=1/3

1/3x3=3/3=1

The total number of milligrams of sodium recommended for a 2000-calorie diet is 2429 mg.

In mathematics, an expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, and division) that can be evaluated to obtain a value.

If one serving of toasted corn kernels contains 170 milligrams of sodium and it represents 7% of the daily value, we can calculate the recommended daily value as follows:

Let X be the total number of milligrams of sodium recommended for a 2000-calorie diet.

7% of X = 170 mg

0.07X = 170 mg

X = 170 mg / 0.07

X = 2428.57 mg

The total number of milligrams of sodium recommended for a 2000-calorie diet is 2429 mg.

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Height = base * tan(angle)

X = 10 ft x tan(30)

X = 5.7735 feet

Rounded to the nearest hundredth = 5.77 feet.

Answer:

5.77 ft

Step-by-step explanation:

Because this is a trigonometry problem, I will assume that you know what a sine, cosine, and cosine is, along with the acronym soh cah toa. If this is not the case, please let me know and I can explain. The problem is dealing with two sides, 10 and x. 10 is adjacent to 30 degrees, and x is opposite from 30 degrees. Tan deals with this (remember soh cah toa) Now we have everything to set up a equation.

tan(30) = \(\frac{x}{10}\)

Multiply both sides by 10 to get x by itself: 10tan(30) = x

x is approximately 5.77.

I hope this helped (sorry it took so long, I couldn't find my calculator)!

The derivatives of the given functions are:

z'(x) = (6x - 2)(2x - 7)^4 + 8(3x^2 - 2x)(2x - 7)^3

f'(x) = 18(6x - 1)^2 - 15(6x - 1)^3(5x + 3)^2

f'(x) = -16x^3 + 84x^2

To find the derivatives of the given functions, we'll use the power rule, product rule, quotient rule, chain rule, exponential rule, and logarithmic rule where applicable. Let's solve each problem one by one:

Given: z(x) = (3x^2 - 2x)(2x - 7)^4

To find the derivative, we'll apply the product rule. The product rule states that if we have a function u(x) multiplied by another function v(x), the derivative of the product is given by:

(d/dx)(u(x) * v(x)) = u'(x) * v(x) + u(x) * v'(x)

Let's apply the product rule to z(x):

z'(x) = (3x^2 - 2x)' * (2x - 7)^4 + (3x^2 - 2x) * ((2x - 7)^4)'

Taking the derivatives of each term:

z'(x) = (6x - 2) * (2x - 7)^4 + (3x^2 - 2x) * 4(2x - 7)^3 * 2

Simplifying the expression:

z'(x) = (6x - 2)(2x - 7)^4 + 8(3x^2 - 2x)(2x - 7)^3

Given: f(x) = (6x - 1)^3 / (5x + 3)^3

To find the derivative, we'll apply the quotient rule. The quotient rule states that if we have a function u(x) divided by another function v(x), the derivative of the quotient is given by:

(d/dx)(u(x) / v(x)) = (u'(x) * v(x) - u(x) * v'(x)) / v(x)^2

Let's apply the quotient rule to f(x):

f'(x) = ((6x - 1)^3)' * (5x + 3)^3 - (6x - 1)^3 * ((5x + 3)^3)'

Taking the derivatives of each term:

f'(x) = 3(6x - 1)^2 * 6 - (6x - 1)^3 * 3(5x + 3)^2 * 5

Simplifying the expression:

f'(x) = 18(6x - 1)^2 - 15(6x - 1)^3(5x + 3)^2

Given: f(x) = 4x^3 / (-2x + 7)

To find the derivative, we'll apply the quotient rule again:

f'(x) = (4x^3)' * (-2x + 7) - 4x^3 * (-2x + 7)'

Taking the derivatives of each term:

f'(x) = 12x^2 * (-2x + 7) - 4x^3 * (-2)

Simplifying the expression:

f'(x) = -24x^3 + 84x^2 + 8x^3

f'(x) = -16x^3 + 84x^2

So, the derivatives of the given functions are:

z'(x) = (6x - 2)(2x - 7)^4 + 8(3x^2 - 2x)(2x - 7)^3

f'(x) = 18(6x - 1)^2 - 15(6x - 1)^3(5x + 3)^2

f'(x) = -16x^3 + 84x^2

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Answer:

YES

Step-by-step explanation:

When a transversal cuts two parallel lines, the alternate interior angles are congruent. So, for two lines to be parallel, their alternate interior angles has to be equal.

Angle 2 and angle 8 are alternate interior angles. They both measure 115°. Since these alternate interior angles are congruent, therefore, line m is parallel to line p.

Answer: 300 percent

Step-by-step explanation:

Where: 15 is the old value and 60 is the new value. In this case we have a positive change (increase) of 300 percent because the new value is greater than the old value.

Answer:

400%

Step-by-step explanation:

60/15 = 4

4 * 100 = 400 %

If a sample of 250 RDNS was randomly selected from a list of all RDNS in the state of California for a California policy study, then the sampling method was simple random sample

Here a sample of 250 RDNS was randomly selected from a list of all RDNS.

Sampling is defined as the selecting the individual members or the group that you will actually collect data from in your research. There are five types of sampling method. They are Random, Systematic, Convenience, Cluster, and Stratified.

In the simple random sampling the researchers select the random samples from the population. Here a sample of 250 RDNS was randomly selected from a list of all RDNS.

Therefore, the sampling method that used is simple random sample

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The predicted number of runs for the player with only 86 hits can be calculated using the equation Runs = Hits + Walks - Home Runs. Plugging in the values given, we get: Runs = 86 + Walks - Home Runs. Therefore, the predicted number of runs for the player is dependent on the number of walks and home runs they have.

To solve for the predicted number of runs, we can use the following steps:

Therefore, the predicted number of runs for the player with only 86 hits can be calculated by plugging in the values of the number of walks and home runs into the equation Runs = Hits + Walks - Home Runs.

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The matching sets for the given orbitals are as follows:

A. 3, 2, -1

C. 5, 1, -1

G. 4, 0, -1

H. 3, 2, 3

In quantum mechanics, each electron in an atom is described by a set of quantum numbers that provide information about its energy level, orbital shape, and orientation. The quantum numbers include the principal quantum number (n), the azimuthal quantum number (l), and the magnetic quantum number (ml).

For the given orbitals, we need to match the orbital names with the sets of quantum numbers. Let's go through each option:

A. The quantum numbers 3, 2, -1 correspond to the orbital name 3dxy. The principal quantum number (n) is 3, the azimuthal quantum number (l) is 2, and the magnetic quantum number (ml) is -1. This describes a d orbital in the xy plane.

C. The quantum numbers 5, 1, -1 correspond to the orbital name 5py. The principal quantum number (n) is 5, the azimuthal quantum number (l) is 1, and the magnetic quantum number (ml) is -1. This describes a p orbital oriented along the y-axis.

G. The quantum numbers 4, 0, -1 correspond to the orbital name 4pz. The principal quantum number (n) is 4, the azimuthal quantum number (l) is 0, and the magnetic quantum number (ml) is -1. This describes a p orbital oriented along the z-axis.

H. The quantum numbers 3, 2, 3 correspond to the orbital name 3dxyz. The principal quantum number (n) is 3, the azimuthal quantum number (l) is 2, and the magnetic quantum number (ml) is 3. This describes a d orbital with complex orientation in space.

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The number of clicks required to zoom in on the front door to make it approximately 3 feet wide on screen will depend on the current size of the image and the level of zoom available on the program being used.

However, assuming a standard zoom level, it is difficult to give an exact number of clicks required without more information. Generally, zoom levels are expressed as a percentage or a ratio of the original size, so it is possible to calculate the required zoom level based on the original size of the image and the desired final size. As a rough estimate, assuming the original image size is standard, it may take around 10-20 clicks of the zoom-in button to reach the desired size of the front door on the screen. However, this is just an approximation and the exact number of clicks will depend on various factors.

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Answer:

x = -1

Step-by-step explanation:

2/3 (12x + 6) = 5 + 3 (x - 2)

8x + 4 = 5 + 3x - 6

Combine like terms

8x + 4 = -1 + 3x

-3x - 4 = -4 -3x

5x = -5

x = -1

Answer:

-5

Step-by-step explanation:

F(x)=8/8-6

F(8)=1-6

F(8)=-5

Answer:

The number of tickets for sale at $26 should be 3300

The number of tickets for sale at $40 should be 1700

Step-by-step explanation:

Use 2 equations to represent the modifiers within the problem:

\(5000 = a + b \\ 153800 = 26a + 40b\)

Now you want to find the point at which the variables are changed to make both equations correct, this can be done by graphing and finding the intersection of both lines.

\(5000 = 3300 + 1700 \\ 153800 = 26(3300) + 40(1700)\)

Answer:

........................

Answer:

92%

Step-by-step explanation:

100-8=92

Answer:

91%

Step-by-step explanation:

If 8% is 8 out of 100, then the rest would be 91%, out of 100.

Step-by-step explanation:

Cog, KY tj, kyzkysiyso6doydi6wkyx co70 kysu5, 5i

Answer:

2

Step-by-step explanation:

Okay...I might be misunderstanding

but since it's from 5 to 7 it should be 2 units long

Answer:

2

Step-by-step explanation:

Answer: B

\(f(x) = 7x-2\) and        \(g(x) = \frac{x+2}{7}\)

How to solve:

check if the composite functions of f(x) and g(x) are equal to x (this means they are inverses)

f[g(x)] = x

g[f(x)] = x

Step-by-step explanation:

Checking A.

\(f(x) = \frac{5}{x} -2\)

\(g(x) = \frac{x+2}{5}\)

\(f(g(x)) = f(\frac{x+2}{5} ) = \frac{5}{\frac{x+2}{5} } -2\)

This does not equal x, so we know these are not inverses

Checking B.

\(f(x) = 7x-2\)

\(g(x) = \frac{x+2}{7}\)

\(f(g(x)) = f(\frac{x+2}{7} ) = 7(\frac{x+2}{7}) - 2 = x+2-2 = x\)

\(g(f(x)) = g(7x-2) = \frac{7x-2 + 2}{7} = \frac{7x}{7} = x\)

since both f(g(x)) = x and g(f(x)) = x, we can determine that they are inverses of each other.

STEP-BY-STEP EXPLANATION

Given information

The scale of the drawing was 5inches to 1 yard

The first thing to do is to convert the inches to yard for unit consistency

According to the Standard International Unit, 1 yard = 36 inches

Let x represents the length in the yard

Therefore, 5 inches = 36 inches

In real life drawing, 5 inches is equivalent to 5 inches

Recall that, the scaling factor is the ratio of the larger figure to the smaller figure

The scaling factor is 5 : 36

Answer:

i think it might be b,c,a BUT i am not sure so you should wait for another answer just in case

Step-by-step explanation:

The recursive formula that represents the value of account is a (n) = 1.0194 ;a (n-1); V (0) = 3.38.

Any term of a series can be defined by its preceding term in a recursive formula (s).

The general formula to find recursion is \(a_{n}= ra_{n-1}\) where r is the common ratio and n should ne grater than 2.

a (n) = 3.38. a (n-1);a (1) = 1.0194

a(n) = 3.38. a (n - 1);a (0) = 1.0194

a(n) = 1.0194. a (n-1);a (1) = 3.38

a (n) = 1.0194 .a (n-1); a (0) = 3.38

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