x/9 - 1 = 2 solve for x

Answer: Yes, The measure of DCF is degrees.

Answer:

the number is one

Step-by-step explanation:

7-1= 6

6-3=2

hope this help and could u give me brainliest, thanks!

Introduction (Kinda)

So you want to write the equation and find the number.

Writing the Equation

Well, the question says "A number s is subtracted from seven. When the result is divided by three, the quotient is two."

If a number s is being subtracted from seven.

7-s

When the result of 7-s is divided by three, the quotient is two. Since your effecting the result of 7-s, you have to put those in parentheses.

(7-s)

Your dividing 7-s by 3.

(7-s) / 3

When you do that, you get 2.

(7-s) / 3 = 2

This is the equation.

Finding the Number

Now you need to solve the equation.

(7-s) / 3 = 2

You need to isolate the s. "Remove" the numbers in opposite PEMDAS order...

Addition and Subtraction

Multiplication and Division

Exponents

Parentheses

7-s is in parentheses.

Divided by 3 is division. So you do that first.

You can multiply by 3 to cancel that out.

(7-s) / 3 × 3 = (7-s)

2 × 3 = 6

7-s = 6

Now that 7-s is on its own side, you can remove the parentheses.

So now to cancel the 7, you subtract 7 from each side (of the equation).

7-s-7 = -s

6-7 = -1

-s = -1

Now to cancel the negative signs, multiply each side by -1.

-s × -1 = s

-1 × -1 = 1

s = 1

Final Answer

The equation is...

(7-s) / 3 = 2

The number is...

1

The general solution to the recurrence relation \(a_n\) = 4an-1 is an = \(c_1\) × 4n + \(c_2\) × n × 4n, and the specific solutions for the given initial conditions are \(a_n\) = 4n - (3/4) × n × 4n when \(a_0\) = 1 and \(a_1\) = 2, and \(a_n\) = 4n + 2 × n × 4n when \(a_0\) = 1 and \(a_1\) = 8.

To find the general solution to the recurrence relation \(a_n\) = 4an-1, let's solve it step by step:

Assume the solution has the form \(a_n\) = rn.

Substitute this into the recurrence relation: rn = 4rn-1.

Divide both sides by rn-1: r = 4.

We have a repeated root r = 4.

The general solution is given by \(a_n\) = \(c_1\)× 4n + \(c_2\) × n × 4n, where \(c_1\) and \(c_2\) are constants.

Now, let's find the specific solutions for the given initial conditions:

a) When \(a_0\) = 1 and \(a_1\) = 2:

Substitute these values into the general solution.

Solve the resulting system of equations to find \(c_1\)= 1 and \(c_2\) = -3/4.

The solution is an = 4n - (3/4) × n × 4n.

b) When \(a_0\) = 1 and \(a_1\) = 8:

Substitute these values into the general solution.

Solve the resulting system of equations to find \(c_1\) = 1 and \(c_2\) = 2.

The solution is \(a_n\) = 4n + 2 × n × 4n.

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The correct options that are propositional formulas according to the strict definition are (i), (ii), (iii), (iv), (v), and (viii).

According to the strict definition given in the lecture, a propositional formula is a well-formed formula in propositional logic where propositions are atomic variables or their negations, and logical connectives are used to combine propositions.

Based on this definition, the following options are propositional formulas:

(i) p₁ ∧ ¬q

(ii) ((p₁ ∧ ¬q))

(iii) (¬(p₁ ∧ ¬q))

(iv) (p₁ ∧ (¬q ∨ r))

(v) (p₁ ∨ ¬(q ∧ r))

(viii) (p₁ ∧ ((¬q) ∨ r))

The formulas (i), (ii), (iii), (iv), (v), and (viii) satisfy the strict definition of a propositional formula as they consist of atomic variables (p₁, q, r) and negations, combined using the ∧ (conjunction) and ∨ (disjunction) connectives.

The formulas (vi) and (vii) do not satisfy the strict definition as they have a misplaced parenthesis and incorrect usage of logical connectives.

Therefore, the correct options that are propositional formulas according to the strict definition are (i), (ii), (iii), (iv), (v), and (viii).

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A propositional formula is a logical expression consisting of propositional variables and logical operators. Options (i), (ii), (iii), (iv), (v), and (viii) are all propositional formulas according to the strict definition.

A propositional formula, according to the strict definition, is a logical expression that consists of propositional variables (such as p, q, r) combined with logical operators (such as ∧, ∨, ¬). Let's examine each option:

Based on the strict definition given in the lecture, options (i), (ii), (iii), (iv), (v), and (viii) are all propositional formulas.

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Answer:

predict the impact of removing snakes from this food web

1 kilogram is equal to approximately 2.205 pounds (lbs).

Pounds are defined as the unit of weight of an object. This type of weighing in pounds is generally used in Britain.

It is also denoted as Lb or Lbs in short.The full form of Lb is Libra which is a Latin word meaning balance or scales. It also stands for the ancient Roman unit of measure “libra pondo” which means “a pound by weight.”

Pounds (lb) and kilograms (kg) are two of the most commonly used units to measure the mass of a specific body.

Therefore, accurate conversion between these two is very essential and important for accurate trade, engineering, and science study.

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Since the selected baby is Hispanic, we can use the probability given for Hispanic babies, which is 1 of 275.

a. The area of the rectangular dining room can be calculated by multiplying the width by the length:

Area = width x length

Area = 7 feet x 4 feet

Area = 28 square feet

Therefore, Jo needs to purchase 28 square feet of flooring.

b. Since the cost is $10.00 per square foot, we can multiply the area by the cost per square foot to find the total cost:

Total cost = area x cost per square foot

Total cost = 28 square feet x $10.00/square foot

Total cost = $280.00

Therefore, it will cost Jo $280.00 for the new flooring.

The solution to given system of equations are x = -1, y = 1 and z = 5 which is determined by the substitution method.

The given system of equations below as

4x – 2y + 3z = 9  ....(i)

x - 2y = -3             ....(ii)

2x + 3y = 1            ....(iii)

By equation (ii) and solving for x to get

x - 2y = -3

x = 2y - 3    ....(iv)

Substitute the value of x = 2y - 3 in the equation (iii)

2(2y - 3) + 3y = 1

4y - 6 + 3y = 1

7y = 7

y = 1

Substitute the value of y = 1 in equation (iv) to get,

x = 2(1) - 3

x = -1

Substitute the values of x = -1 and y = 1 in equation (i), and solve for z

4(-1) – 2(1) + 3z = 9

-4 - 2 + 3z = 9

3z = 15

z = 5

Therefore, the solution to given system of equation are x = -1, y = 1 and z = 5.

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Answer:

105 words

Step-by-step explanation:

1/2 of 70 = 35

70+35=105

Answer:

105

Step-by-step explanation:

I think 105 bc I just multiply it

The blanks are filled as follows

Step one

Equation 2x + y = 18 Isolate y,

y = 18 - 2x

Step Two:

Equation 8x - y = 22, Plug in for y

8x - (18 - 2x) = 22

Step Three: Solve for x by isolating it

8x - (18 - 2x) = 22

8x - 18 + 2x = 22

8x + 2x = 22 + 18

10x = 40

x = 4

Step Four: Plug what x equals into your answer for step one and solve

y = 18 - 2x

y = 18 - 2(4)

y = 18 - 8

y = 10

So the solution to the system of equations is x = 40 and y = 10

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The equation of the transformed exponential function g(x) is g(x) = 2^-x - 1

From the question, we have the following parameters that can be used in our computation:

Parent function: y = 2^x

The graph of the transformed exponential function g(x) passes through the points  (-2,3), (-1,1), (0,0), (1,-0.5) and (2, -0.75)

So, we have the following transformation steps:

1st Transformation:

Reflect y = 2^x across the y-axis

So, we have

y = 2^-x

2nd Transformation:

Translate y = 2^-x down by 1 unit

So, we have

y = 2^-x - 1

This means that

g(x) = 2^-x - 1

Hence, the equation of the function g(x) is g(x) = 2^-x - 1

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As a result, the answer to the provided coordinate plane problem is only choice C), which is the right answer.

The term "coordinate plane" refers to a two-dimensional region that consists of two number lines. It emerges when the X-axis & Y-axis intersect at a location known as the origin. Using the numbers on a coordinate grid, one can locate points.

Here,

Since, If there is a coordinate plane with both parallel lines, go with option A.

Therefore, there is no cure.

There are hence a finite number of solutions that could be found.

If two lines cross, there is only one potential result for Option B. Consequently, the quantity of potential solutions is.

According to Option C, there must be an endless number of solutions to the system because there are two coinciding lines that provide us an infinite number of junction sites.

The difference between Option D) and Option B) is noted.

Only choice C) is hence the proper one.

Therefore , the solution to the given problem of coordinate plane comes out to be Only choice C) is hence the correct one.

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The Discussion section of a report is an essential part where you can delve into the theories related to your research topic, irrespective of the results.

In this section, you have the opportunity to analyze and interpret your findings and draw conclusions from them.

You can also discuss the implications of your research and suggest future directions for further investigation.

Additionally, it is crucial to discuss relevant literature in this section to provide context for your findings and demonstrate your knowledge of the subject area.

However, it is essential to avoid merely restating points already made in previous sections but instead reformulate them and provide additional insights.

In summary, the Discussion section is a crucial part of the report, providing a space for reflection and critical thinking about your research findings.

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Answer:

2a+10 is your answer

Since the provided equation is inconsistent, it cannot intersect.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

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Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)

The value of the function 8s/ 2s^2−25s using inverse  Laplace transform  is equal to 4e^(25t/2).

Function is equal to,

8s/ 2s^2−25s

Value of 's' after factorizing the denominator we get,

2s^2−25s = 0

⇒ s( 2s -25 ) =0

⇒ s =0 or s =25/2

Now apply partial fraction decomposition we get,

8s/ 2s^2−25s = A/s + B /(2s -25)

Simplify it we get,

⇒ 8s = A(2s -25) + Bs

Now substitute s =0 we get,

⇒ 0 = A (-25) + 0

⇒ A =0

and s = 25/2

⇒8(25/2) = A(2×25/2 -25 ) + B(25/2)

⇒100 = B(25/2)

⇒B = 8

Now ,

8s/ 2s^2−25s = 0/s + 8 /(2s -25)

⇒ 8s/ 2s^2−25s = 8 /(2s -25)

Take inverse Laplace transform both the side we get,

L⁻¹ [8s / (2s^2 - 25s)] = L⁻¹ [8/(2s - 25)]

Apply , L⁻¹ [1/(as + b)] = (1/a)e^(-bt/a),

here,

a = 2 , b = -25

L⁻¹ [8s / (2s^2 - 25s)]

= L⁻¹ [8/(2s - 25)]

= (8/2) e^(25t/2)

= 4e^(25t/2)

Therefore, the value of  inverse Laplace transform for the given function is equal to 4e^(25t/2)

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The above question is incomplete, the complete question is:

Find the inverse Laplace transform of 8s/ 2s^2−25s.

This proves that for every solution y of Ax = b, there is a solution v of the homogeneous linear system Ax = 0 such that y = p + v.

Given that the linear system Ax = b has a particular solution p.

We are supposed to show that for every solution y of Ax = b, there is a solution v of the homogeneous linear system Ax = 0 such that y = p + v.

Hint: Consider y - p.

To prove this, we can consider the difference between the two solutions y and p and take that as our solution v of Ax = 0.

Since p is a solution to Ax = b,

it follows that Ap = b.

Since y is also a solution to Ax = b,

it follows that Ay = b.

We can subtract the two equations to get:

Ay - Ap = 0 which gives us:

A(y - p) = 0

So, the solution to Ax = 0 is y - p,

which means that there exists some vector v such that Av = 0 and y - p = v.

Therefore, we have y = p + v where v is a solution of Ax = 0.

Hence, this proves that for every solution y of Ax = b, there is a solution v of the homogeneous linear system Ax = 0 such that y = p + v.

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the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

To find the set difference C - A, we need to remove all elements from A that are also present in C. Let's examine the sets:

C = {0, 6, 12, 18}

A = {2, 4, 6, 8, 10, 12}

We compare each element of A with the elements of C. If an element from A is found in C, we exclude it from the result. After the comparison, we find that the elements 2, 4, 8, 10 are not present in C.

Thus, the set difference C - A is {0, 18}, as these are the elements that remain in C after removing the common elements with A.

Therefore, the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

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Answer:

should be a. took the test and It was horrible. I remember trying and forgot how to do everything beother

Step-by-step explanation:

no balls

Since the relation is symmetric and transitive, but not reflexive, it does not satisfy all the properties of an equivalence relation, the correct answer is (C) R is symmetric and transitive but not reflexive.

For a relation to be reflexive, every element in the set must be related to itself. In this case, the matrix does not have 1s on the diagonal, indicating that it is not reflexive.

For a relation to be symmetric, if (a, b) is in the relation, then (b, a) must also be in the relation. Looking at the matrix, we can see that it is symmetric as the 1s appear in corresponding positions across the main diagonal.

For a relation to be transitive, if (a, b) and (b, c) are in the relation, then (a, c) must also be in the relation. The matrix satisfies this property as the only instances where both (a, b) and (b, c) are 1s, (a, c) is also a 1.

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Part (i)

Angle ABC is 150 degrees. The angle CBX is supplementary to this, so,

(angleABC)+(angleCBX) = 180

angle CBX = 180-(angleABC)

angle CBX = 180-150

angle CBX = 30 degrees

Because of the right angle marker at point X, we can find that triangle CBX is a 30-60-90 triangle. This special type of right triangle has its hypotenuse twice as long as the short leg, which we'll call y. The long leg is equal to y*sqrt(3) units.

The diagram shows BC = 6 is the hypotenuse, so the short leg is y = 6/2 = 3. The longer leg is y*sqrt(3) = 3*sqrt(3) which is the distance from B to X.

In summary so far,

CX = 3

BX = 3*sqrt(3)

We have enough information to find the tangent of angle CAB, and then find the actual angle itself.

tan(angle CAB) = opposite/adjacent

tan(angle CAB) = (CX)/(AX)

tan(angle CAB) = 3/(4+3*sqrt(3))

angle CAB = arctan(  3/(4+3*sqrt(3))  )

I'm using arctan in place of tan^(-1) which is the same basic function, just different notation.

========================================================

Part (ii)

Focus on triangle AXC. The legs we found were

AX = 4+3*sqrt(3)

CX = 3

Use the Pythagorean theorem to find the hypotenuse AC

a^2 + b^2 = c^2

(AX)^2 + (CX)^2 = (AC)^2

(AC)^2 = (AX)^2 + (CX)^2

(AC)^2 = (4+3*sqrt(3))^2 + (3)^2

(AC)^2 = (4+3*sqrt(3))(4+3*sqrt(3)) + 9

(AC)^2 = 4(4+3*sqrt(3))+3*sqrt(3)(4+3*sqrt(3)) + 9

(AC)^2 = 16+12*sqrt(3)+12*sqrt(3)+27 + 9

(AC)^2 = 52+24*sqrt(3)

AC = sqrt( 52+24*sqrt(3) )

Note that AC is a length so AC is positive. We don't have to worry about the plus minus.

This is known as a nested radical since one square root is buried in another.

We can write that as \(AC = \sqrt{52 + 24\sqrt{3}}\) if you're curious as to how that looks on paper.

Using your calculator, you should find that,

\(\sqrt{52+24\sqrt{3}} \approx 9.673118\)

The exact answer without rounding is 166.276877527

The area of a hexagon can be calculated by finding the area of one of the six triangles that make it up by 6.

I added a picture below on how I got it and how it looked like!

—————

Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle

—————

Answer:

3/2

Step-by-step explanation:

The multiplicative inverse also known as reciprocal implies it is something that is the opposite.

The given value is 2/3, so the opposite would just mean you flip the numerator and denominator. Thus, the reciprocal of 2/3 is 3/2.

Answer:

3/2

Step-by-step explanation:

The multiplicative inverse is also known as a reciprocal.

The reciprocal of 2/3 is 3/2.

1 ÷ 2/3 = 1 × 3/2

Reciprocals are always used when you divide by a fraction.

Answer:

The perimeter is 36.5 inches.

The area is 59.5 square inches.

The surface area is about  153.94 square inches.

Step-by-step explanation:

From the figure it is clear that,

Radius of cake = 7 in

Diameter of cake = 14 in

Height = 4.25 in

We need cut the cake vertically along its diameter to make 2 congruent parts.

So, cross section is a rectangle of length 4.25 in and width 14 in.

Perimeter of rectangle is

\(Perimeter=2(length+width)\)

\(Perimeter=2(4.25+14)\)

\(Perimeter=2(18.25)\)

\(Perimeter=36.5\)

The perimeter is 36.5 inches.

Area of rectangle is

\(Area=lengt\times width\)

\(Area=4.25\times 14\)

\(Area=59.5\)

The area is 59.5 square inches.

We need to find the surface area of the cake that is not frosted before the cut. It means the area of base.

Area of circle = \(\pi r^2\)

where, r is radius.

Area of circular base = \(\pi (7)^2\)

\(=49\pi \)

\(=153.93804\)

\(\approx 153.94\)

Therefore, the surface area is about  153.94 square inches.

60.6 hours Jalen have made over $500.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Jalen earns $33 for babysitting 4 hours.

So, in one hour Jalen earns = 33/4

                                              = $8.25

and, if Jalen have to made over $500 then she works

= 500/ 8.25

= 60.6 hours

Hence, 60.6 hours Jalen have made over $500.

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