Fine the value of X ​

1. 17x - 3

2. 5m + 4n

3.-11x + 11

4. 6k + 1

5. 5xy + 7x

6. 7x - 19

7. 14a - 3b + 4

8. 6m - n

9. -a + 2n + 7

10. 6a

The equation which can be used to find the number is 2n = -4, and the number is -2.

What do you mean by equation?

A mathematical statement which is known as an equation makes two expressions' values equal to each other. It is mathematical statement which says "this is equivalent to that," in different words. It appears to have an equal sign in the centre, with a mathematical expression on the right side, and a mathematical expression on the left side.

Let the number be n,

we have given that the number is being twice.

So, the number becomes 2n

And, it is also given that the this twice of the number is equal to -4.

So the equation becomes as:

2n = -4

on solving this equation, we get n = -2

Therefore, the equation is 2n = -4 and the number is -2.

To know more about equation, go to link

https://brainly.com/question/22688504

#SPJ4

Answer:

yes

Step-by-step explanation:

if (x + 2) is a factor of the polynomial , then if x = - 2 gives the polynomial a value of zero it is a factor

(- 2)³ + 5(- 2)² - 4(- 2) - 20

= - 8 + 5(4) + 8 - 20

= - 8 + 20 + 8 - 20

= 0

since polynomial = 0 then (x + 2) is a factor

The 4 laws of logarithms are product property, division property, power property and change of base property.

Product property - According to this principle, multiplying two logarithmic numbers is equivalent to adding their individual logarithms.

Division property - The difference between each logarithm is equivalent to the division of two logarithmic values.

Power rule/Exponential property - According to the exponential rule, the exponent times the logarithm of m's logarithm is equivalent to m's logarithm with a reasonable exponent.

Change of base property - A logarithm in one base is changed to a logarithm in another base using the change of base rule.

To learn more about logarithms here:

https://brainly.com/question/30085872

#SPJ4

Answer:

30%

Step-by-step explanation:

The coordinates of the vertices for the image, triangle U′V′W′, if the preimage is rotated 90° counterclockwise include the following:

U' = (1, 1).

V' = (-4, 0).

W' = (-1, 4).

In Mathematics and Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).

By applying a rotation of 90° counterclockwise to the vertices of triangle UVW, the coordinates of the vertices of the image are as follows:

(x, y)                               →            (-y, x)

Ordered pair U = (-1, 1)   →  Ordered pair U' = (1, -(-1)) = (1, 1).

Ordered pair V = (0, -4)   →  Ordered pair V' = (-4, -(0)) = (-4, 0).

Ordered pair W = (-4, -1)   →  Ordered pair W' = (-1, -(-4)) = (-1, 4).

Read more on rotation here: brainly.com/question/28854313

#SPJ1

(a) p: "There is one and only one real solution to the equation \(x^2\)."

(b) p -> q: "If it is sunny, then I will go for a walk."

(c) r: "Either I will go shopping or I will stay at home."

(d) "If it is sunny, then I will go for a walk."

(e) "I will go shopping or I will stay at home."

(f) p(a): "A is a prime number."

(a) Let p be the proposition "There is one and only one real solution to the equation \(x^2\)."

Propositional logic representation: p

(b) q: "If it is sunny, then I will go for a walk."

Propositional logic representation: p -> q

(c) r: "Either I will go shopping or I will stay at home."

Propositional logic representation: r

(d) "If it is sunny, then I will go for a walk."

English representation: If it is sunny, I will go for a walk.

(e) "I will go shopping or I will stay at home."

English representation: I will either go shopping or stay at home.

(f) p(a): "A is a prime number."

Propositional logic representation: p(a)

To know more about solution, refer here:

https://brainly.com/question/30133552

#SPJ4

Answer/Step-by-step explanation:

If Janie works 5 Hours and earn $35.75..

And It asking for Janie earn for each hour she works..

Therefore, we have to divide to Find how much Janie earn for each hour.

$35.75/5=$7.15

Hence. Janie earn $7.15 each Hour she work.

[RevyBreeze]

The work done by f in moving a particle once counterclockwise around the given curve is -15π.

The problem requires us to calculate the work done by the vector field f along a closed curve C, which is a circle centered at (5,5) with a radius of 5. To do this, we can use the line integral of f along C, which is given by:

∫C f · dr = ∫C (f(x,y) · T) ds

where T is the unit tangent vector to C and ds is the arc length element along C.

To parameterize the curve C, we can use the parametric equations:

x = 5 + 5cos(t)

y = 5 + 5sin(t)

with 0 ≤ t ≤ 2π. Then, the unit tangent vector T is given by:

T = (-sin(t), cos(t))

and the arc length element ds is given by:

ds = √(x'(t)² + y'(t)²) dt = 5 dt

Using these expressions, we can compute the line integral as:

∫C f · dr = ∫C [(x-3y)i + (3x-y)j] · (-sin(t)i + cos(t)j) 5 dt

After some algebraic manipulation, we obtain:

∫C f · dr = -15π

Therefore, the total work done by f in moving the particle once around the given curve counterclockwise is -15π.

Learn more about work done

brainly.com/question/31655489

#SPJ11

The work done by f in moving a particle once counterclockwise around the given curve is zero.

To find the work done by a vector field f in moving a particle along a curve C, we use the line integral formula. The line integral of a vector field f along a curve C is given by the formula ∫C f · dr, where dr is the differential of the position vector r(t) of the curve C. In this case, the vector field is f = (x - 3y)i + (3x - y)j and the curve is the circle (x - 5)² + (y - 5)² = 25 centered at (5,5) with radius 5. To evaluate the line integral, we need to parameterize the curve. Since the curve is a circle, we can use the parametrization r(t) = 5cos(t)i + 5sin(t)j, where t ranges from 0 to 2π. Then, dr = -5sin(t)dt i + 5cos(t)dt j.

Evaluating the line integral, we get ∫C f · dr = ∫0^2π f(r(t)) · dr/dt dt = ∫0^2π (-15sin²(t) + 15cos²(t))dt = 0. Therefore, the work done by f in moving a particle once counterclockwise around the given curve is zero.

You can learn more about work done at

https://brainly.com/question/25573309

#SPJ11

Answer:

Step-by-step explanation:

The test score each of the juniors received on the test is 93.

We can assume that the class has ten students. One junior and nine seniors will follow.

The total score for all participants is 10 * 84, or 840.

Since the seniors' average score was 83, the total of all their scores is 9 * 83, which is 747.

The junior's score, that is; is the only one that hasn't been added to that;

= 840 - 747

= 93

Thus, score each of the juniors received on the test is 93.

To know more about the average score, here

https://brainly.com/question/15474428

#SPJ4

Answer:

Option 1 will give a better overall mileage.

Step-by-step explanation:

The husband and wife travel the same number of miles each week.

Let's say each one travels x miles in 1 week.

Let e = fuel economy in mpg

Let v = amount of fuel in gallons

Let d = distance in miles

e = d/v

ve = d

v = d/e

Before modifying cars:

Wife:

d = x

e = 13

v = d/e = x/13

Husband:

d = x

e = 65

v = d/e = x/65

Combined fuel they both use in 1 week:

x/13 + x/65 = 5x/65 + x/65 = 6x/65 = 0.0923x

Option 1:

Wife changes to:

d = x

e = 15

v = d/e = x/15

Husband remains the same.

Combined fuel they both use in 1 week:

x/15 + x/65 = 13x/195 + 3x/195 = 16x/195 = 0.08205x

Option 2:

Husband changes to:

d = x

e = 80

v = d/e = x/80

Wife remains the same.

Combined fuel they both use in 1 week:

x/13 + x/80 = 80x/1040 + 13x/1040 = 93x/1040 = 0.08942x

The total fuel used in 1 week by both in terms of the miles, x, driven by both are:

Original case: 0.0923x

Option 1: 0.08205x

Option 2: 0.08942x

The lowest amount of fuel is 0.08205x in option 1.

Answer: Option 1 will give a better overall mileage.

Answer:Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

5

,

1

)

Focus:  

(

5

,

9

8

)

Axis of Symmetry:  

x

=

5

Directrix:  

y

=

7

8

x

y

3

9

4

3

5

1

6

3

7

9  

Answer:

c

Step-by-step explanation:

The slope of the graph is -2/3 is true.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁.

The graph of linear function g passes through the points (3, 7) and (9, 3).

We need to find which statement is true from options.

Slope=3-7/9-3

=-4/6

=-2/3

The slope intercept form 7=-2/3(3)+b

7=-6/3+b

7=-2+b

b=9

Hence, the slope of the graph is -2/3 is true.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ2

Answer:

A

Step-by-step explanation:

31%

The blue says 31%

Answer:

The answer is #1 (A)

Step-by-step explanation:

please mark brainliest i am begging you i only have one

The inference engine in an expert system will use both forward and backward chaining as needed to manipulate the rules and make decisions based on the available data and the desired outcome.

To address your question concisely:
The component of an expert system that uses forward and backward chaining to manipulate a series of rules is called the Inference Engine.
An expert system is composed of three primary components: the Knowledge Base, the Inference Engine, and the User Interface.

The Knowledge Base contains the domain-specific facts and rules that the system relies on to solve problems.

The User Interface facilitates communication between the user and the system.
The Inference Engine is responsible for reasoning and drawing conclusions based on the knowledge stored in the Knowledge Base.

It applies logical techniques such as forward and backward chaining to manipulate and evaluate rules.
In forward chaining, the Inference Engine begins with the available data and applies rules to deduce new information or conclusions.

This approach is data-driven, as it starts with facts and moves towards conclusions.
In backward chaining, the Inference Engine starts with a goal or hypothesis and works backward to find supporting evidence or facts.

This approach is goal-driven, as it begins with a desired conclusion and looks for rules that can lead to it.
By employing both forward and backward chaining, the Inference Engine is able to effectively analyze and manipulate rules to provide accurate and reliable solutions to problems within the domain of the expert system.

For similar question on chaining.

https://brainly.com/question/14574494

#SPJ11

By using both forward and backward chaining, the inference engine can efficiently evaluate complex sets of rules and make accurate decisions based on the available data.

The inference engine component of an expert system uses forward and backward chaining to manipulate a series of rules. Forward chaining involves starting with initial data and applying rules to draw a conclusion, while backward chaining involves starting with a goal and working backward to find the necessary data and rules to reach that goal.

By using both forward and backward chaining, the inference engine can efficiently evaluate complex sets of rules and make accurate decisions based on the available data.

The component of an expert system that uses forward and backward chaining to manipulate a series of rules is called the "inference engine". The inference engine applies logical reasoning to deduce new information based on the provided facts and rules in the knowledge base, ultimately assisting in problem-solving and decision-making processes.

to learn more about data click here:

https://brainly.com/question/30459199

#SPJ11

Required Formula

\(\sf cos(x) = \dfrac{adjacent}{hypotenuse}\)

Part A

Given: base length: 6m, half base: 3m, angle: 65°, let hypotenuse: h

Hence solve,

\(\rightarrow \sf cos(x) = \dfrac{a}{h}\)

\(\rightarrow \sf cos(65) = \dfrac{3}{h}\)

\(\rightarrow \sf h = \dfrac{3}{cos(65)}\)

\(\rightarrow \sf h =7.0986\ \approx \ 7.1 \ m\)

The slant height is 7.1 meters when base length is 6 meter.

Part B

Given: base length: 9.6m, half base: 4.8m, angle: 65°, let hypotenuse: n

Hence solve,

\(\rightarrow \sf cos (x) = \dfrac{a}{n}\)

\(\rightarrow \sf cos (65) = \dfrac{4.8}{n}\)

\(\rightarrow \sf n = \dfrac{4.8}{cos (65)}\)

\(\rightarrow \sf n = 11.357 \ \approx \ 11.4 \ m\)

The slant height is 11.4 meters when base length is 9.6 meter.

Answer:

A)  7.1 m

B) 11.4 m

Step-by-step explanation:

Trigonometric ratios

\(\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}\)

where:

The slant height of the roof is the hypotenuse of a right triangle.

Considering the information given, use the cos trig ratio to determine the slant height.

A roof's base length is the distance from one corner of the roof to the other. Therefore, the base length of the given right triangle is half the roof base length.

Given:

Substituting the given values into the formula and solving for H:

\(\sf \implies\cos(\theta)=\dfrac{A}{H}\)

\(\sf \implies\cos(65^{\circ})=\dfrac{3}{H}\)

\(\sf \implies H =\dfrac{3}{\cos(65^{\circ})}\)

\(\implies \sf H=7.1 \: m \: (nearest\:tenth)\)

The slant height of the roof is the hypotenuse of a right triangle.

Considering the information given, use the cos trig ratio to determine the slant height.

A roof's base length is the distance from one corner of the roof to the other. Therefore, the base length of the given right triangle is half the roof base length.

Given:

Substituting the given values into the formula and solving for H:

\(\sf \implies\cos(\theta)=\dfrac{A}{H}\)

\(\sf \implies\cos(65^{\circ})=\dfrac{4.8}{H}\)

\(\sf \implies H =\dfrac{4.8}{\cos(65^{\circ})}\)

\(\implies \sf H=11.4 \: m \: (nearest\:tenth)\)

Answer:

-2/7x - 6

Step-by-step explanation:

Combine Like Terms:

1/7x + 2/7x - 5/7x - 10 + 4

-2/7x - 6

Answer:

y-1=-3(x+2)

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 inches

When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

To subtract 3 from 22, we can perform the subtraction operation as follows:

22

3

19

We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.

Therefore, the simplified answer is 19.

The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.

By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.

In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

for such more question on simplified

https://brainly.com/question/11680269

#SPJ8

Answer:

5280

Step-by-step explanation:

I'm American and our system sucks but 1 mile is equal to 5280 feet

May I have brainliest please? :)

Answer:

I'm American and our system sucks but 1 mile is equal to 5280 feet

The volume of the solid is 9375 cubic units with a semicircular base of radius 15 and square cross sections perpendicular to the base and parallel to the diameter.

Many perpendicular lines may be seen in nature. The sides of a set square, the arms of a clock at different times of the day, the corners of a blackboard, a window, and the Red Cross emblem are other examples.

Here,

Let x be the height of the washer and h be the width of the square part of the washer. Then, the radius of the circular hole in the washer is 15 - x, so the width of the washer is 2 * (15 - x). The volume of each washer is then given by:

V = π * (15 - x)^2 * x + h^2 * x

where h^2 = (2 * (15 - x))^2

Expanding h^2, substituting into the expression for V, and simplifying, we get:

V = π * (15 - x)^2 * x + 4 * (15 - x)^2 * x

= 5πx(15 - x)^2

The total volume of the solid is given by the definite integral of V from 0 to 15:

V = 5π ∫_0^15 x(15 - x)^2 dx

This integral can be evaluated using integration by substitution. Let u = 15 - x, so that du = -dx and x = 15 - u. Then:

V = 5π ∫_0^15 (15 - u) * u^2 * (-du)

= 5π ∫_15^0 u^2 * (15 - u) du

= 5π * [u^3/3 * (15 - u) - u^2/2 * (15 - u)^2 + u * (15 - u)^3/3]_0^15

= 5π * (225/3 - 15 * (225/2) + (15^4)/4)

= 5π * (225/3 - 3375/2 + 3375)

= 5π * (5625/3)

= 9375π

So the volume of the solid is 9375 cubic units of the solid with a semicircular base of radius 15 and cross sections perpendicular to the base and parallel to the diameter that are squares.

To know more about Perpendicular,

https://brainly.com/question/29290298

#SPJ4

Answer:

ok

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

5y + 5 = 20

-5 -5

5y = 15

÷5 ÷5

y = 3

Answer:

25 pi

Step-by-step explanation:

area of circle = pi (r)^2

radius = 10/2 = 5

5×5 = 25

25 pi

Answer:

C

Step-by-step explanation:

The formula is pi(r＾2)

r=radius

=10/2

Answer:

0.05

Step-by-step explanation:

Answer:

D $0.05 per cough drop

Step-by-step explanation:

divide .99 by 19 you get 0.05210526

Answer:

15

Step-by-step explanation:

\(-x+46=31\)

\(-x=-15\)

\(x=15\)

Answer:

16.35Rs would be paid by everyone.

Step-by-step explanation:

98.10/6

=16.35Rs would be paid by everyone.

Hope it will help you :)