. What is the solution set of the equation below?
2x - 3 = 11

Answer:

He would have 18 left for his teachers

Step-by-step explanation:

28*3 = 84

102-84= 18

the point of intersection of the line with the yz-plane is (0, -15, -13/2).

To find the points of intersection of the line with the xy-plane (i.e., the plane where z = 0), we substitute z = 0 into the equation of the line and solve for t:

-4 + t = 0
t = 4

Substituting t = 4 into the equation of the line, we get:

x = 5 + 2(4) = 13
y = 5 + 8(4) = 37
z = -4 + 4 = 0

So the point of intersection of the line with the xy-plane is (13, 37, 0).

Similarly, to find the points of intersection of the line with the xz-plane (i.e., the plane where y = 0), we substitute y = 0 into the equation of the line and solve for t:

5 + 8t = 0
t = -5/8

Substituting t = -5/8 into the equation of the line, we get:

x = 5 + 2(-5/8) = 3.75
y = 5 + 8(-5/8) = 0
z = -4 - 5/8 = -37/8

So the point of intersection of the line with the xz-plane is (3.75, 0, -37/8).

Finally, to find the points of intersection of the line with the yz-plane (i.e., the plane where x = 0), we substitute x = 0 into the equation of the line and solve for t:

5 + 2t = 0
t = -5/2

Substituting t = -5/2 into the equation of the line, we get:

x = 5 + 2(-5/2) = 0
y = 5 + 8(-5/2) = -15
z = -4 - 5/2 = -13/2

So the point of intersection of the line with the yz-plane is (0, -15, -13/2).
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Angles 6 and 8 are adjacent, they are Linear pair οf angles.

Linear pair οf angles are fοrmed when twο lines intersect each οther at a single pοint. The angles are said tο be linear if they are adjacent tο each οther after the intersectiοn οf the twο lines. The sum οf angles οf a linear pair is always equal tο 180°. Such angles are alsο knοwn as supplementary angles.

Angles 1 and 4 are not adjacent, they are vertically opposite.

Angles 5 and 8 are not adjacent, they are vertically opposite.

Angles 6 and 8 are adjacent, they are Linear pair οf angles

Angles 1 and 5 are corresponding exterior angle, so the are not linear pair.

Thus, Angles 6 and 8 are adjacent, they are Linear pair οf angles

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Answer:

30.25

Step-by-step explanation:

All angles of a line must add up to 180. Since we already know that one angle is 90 degrees, we know that the other angles should add up to 90 degrees in order for all of the angles to add up to 180 degrees:

(3x-7)+(x+8)=90

4x+1=90

4x=89

x=22.25

22.25+8= 30.25

Answer:

See below

Step-by-step explanation:

First off, the missing side is c=√(17²-8²)=15

sinø=opposite/hypotenuse=15/17

cosø=adjacent/hypotenuse=8/17

tanø=opposite/adjacent=15/8

cscø=hypotenuse/opposite=1/sinø=1/(15/17)=17/15

secø=hypotenuse/adjacent=1/cosø=1/(8/17)=17/8

cotø=adjacent/opposite=1/tanø=1/tanø=1/(15/8)=8/15

Answer:

x = 4

Step-by-step explanation:

-2 ( x+2)=-12

-2x - 4 = -12

-2x = -8

x = 4

Step-by-step explanation:

The given number is 7,594,000,000.

To convert it into scientific notation,

First move the decimal point places to the left to find a number that is greater than or equal to 1 and less than 10. Then multiply by 10 , using an exponent on 10 that equals the number of places you moved the decimal. The exponent is negative if the original no was <1 and the exponent is positive, if the original number was  > 1.

In 7,594,000,000, we move the decimal point places to the left before 5. It means we have moved 9 digits left.

Hence, \(7,594,000,000=7.59\times 10^9\) is the scientific notation.

Answer:

54

Step-by-step explanation:

all you have to do is times 18 by 3

The statement for the associative property of multiplication is given as follows:

(3 × 8) × 6 = 3 × (8 × 6).

The associative property of multiplication states that the way in which factors are grouped in a multiplication problem does not change the product.

This means that when we have more than two factors, the order in which they are multiplied will not change the result of the multiplication.

Hence the statement is given as follows:

(3 × 8) × 6 = 3 × (8 × 6).

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Answer:

Step-by-step explanation:

y= 3/2x-2

The eccentricity of the conic section below is: A. closer to 0 than 1.

In Euclidean geometry, a conic section can be defined as a curve that is generated as the intersection of the surface of a right circular cone with a plane.

In Mathematics, there are four (4) types of conic section and these include the following with their eccentricity:

In this context, we can reasonably infer and logically deduce that the eccentricity of the conic section is closer to zero (0) than one (1) because it represents a circle.

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Answer:

8, 1, and 3

Step-by-step explanation:

Range is the y in (x, y)

Hope it helps

Answer :

solution in the pic

Given:

The equation is

\(\left(z+\dfrac{6}{7}\right)+\dfrac{2}{14}=-1\)

To find:

The solution of the given equation.

Solution:

We have,

\(\left(z+\dfrac{6}{7}\right)+\dfrac{2}{14}=-1\)

It can be written as

\(\left(z+\dfrac{6}{7}\right)+\dfrac{1}{7}=-1\)

\(\left(z+\dfrac{6}{7}\right)=-1-\dfrac{1}{7}\)

Multiply both sides by 7.

\(7z+6=-7-1\)

\(7z+6=-8\)

\(7z=-8-6\)

\(7z=-14\)

Divide both sides by 7.

\(z=\dfrac{-14}{7}\)

\(z=-2\)

Therefore, the value of z is -2.

Classroom objects can be categorized as vertical or horizontal. Examples of vertical objects include doors, bookshelves, and clocks, while horizontal objects include desks, tables, and chairs.

In a classroom, there are many objects that are vertical and horizontal. Here are ten examples of each:

Vertical objects in a classroom:

1. Door                     6. Clock

2. Cabinet               7. Electrical outlets

3. Bookshelf            8. Light switches

4. Whiteboard         9. Window blinds

5. Flagpole             10. Bulletin board

Horizontal objects in a classroom:

1. Desks                  6. Keyboard trays

2. Chairs                 7. Carpet tiles

3. Tables                 8. Ceiling tiles

4. Countertops       9. Whiteboard markers

5. Shelves              10. Paper trays

These are just a few examples of vertical and horizontal objects that can be found in a classroom.

It is important to recognize the different shapes and orientations of objects in our environment, as they can affect the way we perceive and interact with them.

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Answer:

4,050 ft^3

Step-by-step explanation:

Separate the figure into a cube and a square pyramid.

Volume of the cube (a^3):

15 x 15 x 15 = 3,375

3,375 ft^3

Volume of the square pyramid (lwh/3):

15 x 15 x 9/3 = 675

675 ft^3

Add the volumes of both figures:

675 ft^3 + 3,375 ft^3 = 4,050

The volume of the whole figure is 4,050 cubic feet.

Hope this helps!

The general solution for the given differential equation is the sum of the complementary function and the particular solution:

\(y = y_h + y_p\\\\= C_1e^{6x} + C_2e^{-6x} + (-1/70)e^{3x} + (-1/70)e^{-3x}\)

where C₁ and C₂ are arbitrary constants determined by the initial or boundary conditions of the problem.

We are given the differential equation: d²y/dx - 36y = cosh(3x).

In this case, the homogeneous equation is d²y/dx - 36y = 0.

The characteristic equation associated with the homogeneous equation is obtained by replacing the derivatives with their corresponding algebraic expressions. In our case, we have r² - 36 = 0. Solving this quadratic equation, we find the roots to be r = ±6.

Since the roots are distinct and real, the general solution for the homogeneous equation is given by:

\(y_h = C_1e^{6x} + C_2e^{-6x}\)

where C₁ and C₂ are arbitrary constants determined by the initial or boundary conditions of the problem.

The term cosh(3x) can be written as a linear combination of exponential functions using the identities:

\(cosh(ax) = (e^{ax} + e^{-ax})/2, \\\\sinh(ax) = (e^{ax} - e^{-ax})/2.\)

Therefore, \(cosh(3x) = (e^{3x} + e^{-3x})/2.\)

Now, we assume the particular solution has the form:

\(y_p = A_1e^{3x} + A_2e^{-3x}\)

where A₁ and A₂ are undetermined coefficients.

Substituting these derivatives into the original differential equation, we get:

\((9A_1e^{3x} + 9A_2e^{-3x}) - 36(A_1e^{3x} + A_2e^{-3x}) = (e^{3x} + e^{-3x})/2.\)

To satisfy this equation, the coefficients of the exponential terms on both sides must be equal. Therefore, we have the following system of equations:

9A₁ - 36A₁ = 1/2,

9A₂ - 36A₂ = 1/2.

Solving these equations, we find A₁ = -1/70 and A₂ = -1/70.

Thus, the particular solution is:

\(y_p = (-1/70)e^{3x} + (-1/70)e^{-3x}\)

Finally, the general solution for the given differential equation is the sum of the complementary function and the particular solution:

\(y = y_h + y_p\\\\= C_1e^{6x} + C_2e^{-6x} + (-1/70)e^{3x} + (-1/70)e^{-3x}\)

where C₁ and C₂ are arbitrary constants determined by the initial or boundary conditions of the problem.

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The cosine of the angle between the vectors v = <2,6,9> and w = <3,-2,6> is 0.7095.

To find the cosine of the angle between the vectors v = <2,6,9> and w = <3,-2,6>, use the dot product formula. This is:

cosθ = (v·w)/(|v|·|w|)

Therefore, cosθ = (2·3 + 6·-2 + 9·6) / (sqrt(22 + 62 + 92)·sqrt(32 + (-2)2 + 62))

cosθ = 12 / (sqrt(101)·sqrt(45)) = 12 / (sqrt(4545)) = 0.7095

Therefore, the cosine of the angle between the vectors v = <2,6,9> and w = <3,-2,6> is 0.7095.

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Answer:

$700

Step-by-step explanation:

She's willing to pay up to $3000.

She pays only $2300.

consumer surplus = $3000 - $2300 = $700

Answer:

$700

Step-by-step explanation:

Anna's consumer surplus is the difference between her willingness to pay and the price she actually paid, which is $3000 - $2300 = $700.

Therefore, the answer is $700.

Answer:

24.2-y =11.2

24.2-11.2=y

13=y

Answer:

6(x+5)

Step-by-step explanation:

The area of the described larger loop and smaller loop is pi+3root3

Given by is the area of one half of the outer loop..

One-half of the inside loop's area is calculated using

Now, to account for symmetry, we multiply by 2 and subtract the outer loop from the inner loop:

To take shape, coordinate, or meld into an effective or cohesive whole: To combine with something else; to incorporate into a larger entity. 3. Differentiation is the antithesis of integration. In other words, integration results if the differentiation process is reversed. The example below exemplifies it: dy/dx = 2x when y = x2 As a result, dx and dy go hand in hand and signify the integration of the function with regard to x. Integration of races and cultures is a successful joining or mingling with a different set of people.

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Answer:

IDRK ask ur teacher

Step-by-step explanation:

Answer:

43 bags.

Step-by-step explanation:

You need to divide the 2021 ounces by 47 ounces, for each bag. 2021/47=43

To determine if A = {0ku0k | k ≥ 1 and u ∈ Σ∗} is regular, we need to check if a finite state machine can be constructed for this language.

Observe the language A.A consists of strings with 0's, an arbitrary string u, and an equal number of 0's as before u.

Analyze the constraints,There's no fixed limit on the number of 0's (k ≥ 1), and u can be any string in Σ∗, which means an infinite number of possibilities.

Determine if A is regular.Since there are infinite possibilities for k and u, it is impossible to construct a finite state machine for A.

Therefore, A is not regular.

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Answer:

2.62 x 10^16

Step-by-step explanation:

Step-by-step explanation:

Let look at the numerator:

(3.1 x 10^6)(6.97 x 10^4)

= (3.1 x 6.97) x 10^(6+4)

= 21.607 x 10^10

So  21.607 x 10^10      

      _______________        

      8.245 x 10^-6

= (21.607/8.245) x 10^(10 - -6)

= 2.62 x 10^(10 + 6)

= 2.62 x 10^16

I hope this helps

Answer:2.62061855 x 10^16

Step-by-step explanation:

Answer:

Step-by-step explanation:

3