what does x equal? ???

The  solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).

One method to solve the given system of equations is substitution:

- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).

- Substitute the expression for the variable into the other equation.

- Solve the resulting equation for the remaining variable.

- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable

Using this method with the given equations

- x - y = 9 -> x = 9 + y

- 3x + 2y = 22 -> 3(9 + y) + 2y = 22

- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1

- Substituting y = -1 into x = 9 + y: x = 8

To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.

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Answer:

h(x) = 4x - 1

Step-by-step explanation:

h(x) = f(x) + g(x)

      = 5x + 2 - x - 3 ← collect like terms

       = 4x - 1

Answer:

4x-1

Step-by-step explanation:

h(x)=5x+2+ (-x-3)

h(x) = 5x+2-x-3

h(x)=5x-x+2-3

h(x)=4x-1

This problem can be solved using the concept of the expected value of a random variable. Let X be the random variable representing the number of boxes a person needs to buy to get all four prizes.

To calculate the expected value E(X), we can use the formula:

E(X) = 1/p

where p is the probability of getting a new prize in a single box. In the first box, the person has a 4/4 chance of getting a new prize. In the second box, the person has a 3/4 chance of getting a new prize (since there are only 3 prizes left out of 4). Similarly, in the third box, the person has a 2/4 chance of getting a new prize, and in the fourth box, the person has a 1/4 chance of getting a new prize. Therefore, we have:

p = 4/4 * 3/4 * 2/4 * 1/4 = 3/32

Substituting this into the formula, we get:

E(X) = 1/p = 32/3

Therefore, the average number of boxes a person needs to buy to get all four prizes is 32/3, or approximately 10.67 boxes.

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Answer:

I'm not really sure but I think it's 2

Step-by-step explanation:

So here's what I did;

x³+3x-9=x - 1 +2x

x³+3x - x -2x = 9 - 1

x³= 8

x = ³√8

x = 2

I hope this helps

1000 is the amount of garbage that was initially dumped in the landfill before any additional garbage was added. i.e: It is the quantity of garbage on Day 0.

The initial function given in the problem is n = 2000x + 1000.

The definition of a function's initial value is its starting value, which is unaffected by any variables used in the function.

The given function is:

n = 2000x + 1000

where the amount of trash is n, and the number of days is x. We'll set the variable (x) equal to zero to obtain the starting value.

Therefore, initially:

n = 2000(0) + 1000 = 1000

This indicates that the trash had a value of 1000 at day zero.

Therefore 1000 represents the amount of trash that was originally present in the landfill before dumping any extra trash.

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Answer:

-679

Step-by-step explanation:

14, 5, -4, ...

a = 14

d = 5 - 14 = -9

nth term = a + (n - 1) d

n(78) = 14 + (78 - 1) * -9

= 14 + 77(-9)

= 14 -693

= -679

answer

the formula is a+(n-1)d

a: the first term

d:the 2nd term -the first term

Answer:

I think d is not a binomial from the option given

Answer:48

Step-by-step explanation:12 times 4 is 48

A → ¬B → (A ∧ ¬B) is a tautology. (B → C) → (A ∧ B → A ∧ C) is a tautology.

Exercise 1:

a) ((P ∨ (¬Q ∧ R)) → (P ∨ R)) → Q

b) (A → (B ∨ C)) → ((A ∨ ¬¬B) → C)

Exercise 2:

a) Assume (A → B), (B → C), and ¬(A → C)

From (A → B), assume A and derive B using Modus Ponens

From (B → C), derive C using Modus Ponens

From ¬(A → C), assume A and derive ¬C using Modus Tollens

Using (A → B) and B, derive A → C using Modus Ponens

From A → C and ¬C, derive ¬A using Modus Tollens

Derive ¬B from (A → B) and ¬A using Modus Tollens

Using (B → C) and ¬B, derive ¬C using Modus Tollens

From A → C and ¬C, derive ¬A using Modus Tollens, a contradiction.

Therefore, (A → B) → ((B → C) → (A → C)) is a tautology.

b) Assume A, B, and C, and derive C using Modus Ponens

Assume A, B, and ¬C, and derive a contradiction (using the fact that A → B → ¬C → ¬B → C is a tautology)

Therefore, (B → C) → (A → B) → (A → C) is a tautology.

c) Assume (A ∨ B) ∧ (A → C) ∧ (B → D), and derive C ∨ D using cases

Case 1: Assume A, and derive C using (A → C)

Case 2: Assume B, and derive D using (B → D)

Therefore, (A ∨ B) ∧ (A → C) ∧ (B → D) → (C ∨ D) is a tautology.

Exercise 3:

¬(A ∧ B) = (¬A) ∨ (¬B) (De Morgan's Law)

(A ∧ B) = ¬(¬A ∨ ¬B) (Double Negation Law)

¬A = A ∧ A (Contradiction Law)

A ∨ B = ¬(¬A ∧ ¬B) (De Morgan's Law)

Therefore, all 4 basic connectives can be represented with the NOR connective ∧.

Exercise 4:

¬(A ∨ B) = ¬A ∧ ¬B (De Morgan's Law)

A ∨ B = ¬(¬A ∧ ¬B) (De Morgan's Law)

¬A = A ∨ A (Contradiction Law)

A ∧ B = ¬(¬A ∨ ¬B) (De Morgan's Law)

Therefore, all 4 basic connectives can be represented with the NOR connective ∨.

Exercise 5:

a) Assume A and ¬B, and derive A ∧ ¬B using conjunction

Therefore, A → ¬B → (A ∧ ¬B) is a tautology.

b) Assume (B → C) and (A ∧ B), and derive A ∧ C using conjunction and Modus Ponens

Therefore, (B → C) → (A ∧ B → A ∧ C) is a tautology.

c) Assume A → C, and derive (A → B ∨ C) using cases

Case 1: Assume A, and derive

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Answer:

A = $ 2,282.37

Step-by-step explanation:

A = P(1 + r/n)^nt

Where

A = Total Amount after t years

P = Principal = $1530

r = Interest rate = 10% = 0.1

t = 4 years

n = compounding frequency = daily = 365 days

Hence,

A = $1530(1 + 0.1/365) ^365 × 4

A = $ 2,282.37

Therefore, the total amount in the compound interest account = $ 2,282.37

The area of a square can be found by using the following expression:

where "A" is the area and "l" is the length of each side of the square. The square on this problem has an area of 9 cm², so we can find the sides by replacing A for 9 on the expression above.

To solve it we need to take the square root on both sides of the equation.

Each side of the square has a length of 3 cm, so the sides are 3 cm x 3 cm.

Answer:

8.4

Perimeter=a+b+c

3.2+4.2+3.-2

= 8.4

The perimeter of the triangle will be 5 + √17.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees. The sum of all the sides of the triangle will be known as the perimeter of the triangle.

A triangle DEF with vertices D (3,2), E (4,2), and F (3,-2).

Distance between DE will be

DE² = (4 - 3)² + (2 - 2)²

DE² = 1

DE = 1

Distance between EF will be

EF² = (3 - 4)² + (-2 - 2)²

EF² = 1 + 16

EF = √17

Distance between DF will be

DF² = (3 - 3)² + (-2 - 2)²

DF² = 16

DF = 4

Then the perimeter of the triangle will be

P = DE + EF + DF

P = 1 + √17 + 4

P = 5 + √17

The perimeter of the triangle will be 5 + √17.

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The resolution of the human eye is ultimately limited by the pupil diameter.

When the pupil diameter is 2.18mm, the smallest diameter spot the eye can produce on the retina is determined by the diffraction limit, which can be calculated using the formula:

θ = 1.22 * (λ / D)

where θ is the angular resolution, λ is the wavelength of light (typically around 550 nm for the visible spectrum), and D is the pupil diameter (2.18mm in this case). To find the smallest diameter spot on the retina, you would need to multiply the angular resolution by the distance from the lens to the retina (approximately 17mm for an average human eye).

However, the information provided is insufficient to calculate the exact smallest diameter spot. Additionally, factors like the density of photoreceptor cells in the retina also play a role in determining the resolution of the eye.

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The friend has to save for 5 and 2/3 of a month to in order to make up the remaining 85 to get the 125 headphone.

An inequality that consists of two or more parts is called a compound inequality. Either "or" or "and" may be used in these components. A number between 5 and 10 could be used as x in an inequality, for instance, if it states that "x is larger than 5 and less than 10". Any time one of the two inequalities is true when the two inequalities are united by the word or, the compound inequality is solved. The two separate solutions have been combined to form the final answer. Inequalities that are separated by "and" or "or" form a compound inequality. The intersection of the inequality graphs is shown by the graph of a compound inequality with a "and."

Cost of the headphone 125.

What the friend have: 40.

What need to save: 125-40 = 85

Let x = amount to be saved per month

Months to save up the 85 is 15

The equation would be 15 x = 85

Therefore x = 85/15

Which is 5 2/3 months.

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Answer:

0

Step-by-step explanation:

g(-3) = -(-3)-3

Answer:

52 days

Step-by-step explanation:

Answer:

1560 = 30(52) + b

Step-by-step explanation:

this answers a bit late but ik this is the correct one!

Answer:

The answer is "\(\bold{- \frac{19}{13} \ / hour}\)"

Step-by-step explanation:

Please find the complete question in the attached file.

Calculating the difference of \(9 \frac{1}{4}\ and \ 4 \frac{1}{2}\)  dividing the value by \(3 \frac{1}{4}\)

\(\to 4 \frac{1}{2} - 9 \frac{1}{4}\\\\ \to \frac{9}{2} - \frac{37}{4}\\\\ \to \frac{18-37}{4} \\\\ \to -\frac{19}{4}\\\\\to -\frac{19}{4} \div \frac{13}{4}= -\frac{19}{4} \times \frac{4}{13} = -\frac{19}{13}\\\)

Answer:

17

Step-by-step explanation:

8+4+5=17

Answer:

7

Step-by-step explanation:

(+8)-(-4)+(-5)

=8+4-5

=12-5

=7

When the rectangle is transformed according to the rule r0 90 T/F, it first undergoes a reflection about the y-axis, followed by a rotation of 90 degrees counterclockwise about the origin, and finally a translation of a certain distance in either the x or y direction depending on whether the final image is a reflection or not.

The final image obtained will be a rectangle as well, but with different dimensions and position depending on the translation distance.Let's assume that the rectangle has width w and height h. When reflected about the y-axis, its width changes sign but its height remains the same, resulting in a new width of -w and height of h.

After that, the rectangle is rotated 90 degrees counterclockwise about the origin, which swaps its width and height but preserves their signs, resulting in a new width of -h and height of -w.

Finally, a translation of distance d is applied to either the x or y coordinate depending on whether the final image is a reflection or not. If the final image is a reflection, then the translation is applied in the y direction by a distance of d, resulting in a new position of (-h, d).

Otherwise, the translation is applied in the x direction by a distance of d, resulting in a new position of (d, -w).In summary, the rectangle is transformed according to the rule r0 90 T/F by undergoing a reflection, rotation, and translation, resulting in a new rectangle with dimensions and position depending on the original dimensions and the translation distance.

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A rectangle can be transformed according to the rule r0 90 T/F, which can have different results, depending on how the transformation is done.

The rule can be interpreted as follows:r0: No rotation90: Rotate the rectangle 90 degreesT/F: Flip the rectangle horizontally (T) or vertically (F)For example, if a rectangle with a width of 4 units and a height of 2 units is subjected to this transformation rule, the result will vary depending on the order of transformations.

Consider the following cases : Case 1: r0 90 F T (rotate by 0 degrees, then rotate by 90 degrees, then flip vertically, then flip horizontally) In this case, the rectangle is first rotated by 0 degrees, which means that its position and size are unchanged. Next, it is rotated by 90 degrees, which means that its width becomes its height and vice versa. After that, it is flipped vertically, which means that its top and bottom edges are swapped.

Finally, it is flipped horizontally, which means that its left and right edges are swapped. The resulting rectangle has a width of 2 units and a height of 4 units. It is also reflected across the line y = 0 (the x-axis).Case 2: F T r0 90 (flip vertically, then flip horizontally, then rotate by 0 degrees, then rotate by 90 degrees) In this case, the rectangle is first flipped vertically, which means that its top and bottom edges are swapped. Next, it is flipped horizontally, which means that its left and right edges are swapped.

After that, it is rotated by 0 degrees, which means that its position and size are unchanged. Finally, it is rotated by 90 degrees, which means that its width becomes its height and vice versa. The resulting rectangle has a width of 2 units and a height of 4 units.

It is also reflected across the line y = -x (the line that goes through the origin with a slope of -1).In conclusion, a rectangle can be transformed in various ways, and the order of transformations matters. The rule r0 90 T/F can produce different results depending on the sequence of operations.

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The three possibilities that Damon can use as the common factor for equivalent expression are y(5xz + 3z + 2x), z(5xy + 3y + 2x) and  xy(5z + 3 + 2z).

To discover a common figure for 60xyz+36yz+24xy, we have to be discover the Greatest Common Factor (GCF) of the coefficients 60, 36, and 24, and the factors x, y, and z.

The GCF of the coefficients 60, 36, and 24 is 12. Able to calculate out 12 from each term:

60xyz+36yz+24xy = 12(5xyz + 3yz + 2xy)

Presently, we ought to discover a common calculate for the remaining components, 5xyz + 3yz + 2xy. Here are three conceivable outcomes:

Calculate out y:

5xyz + 3yz + 2xy = y(5xz + 3z + 2x)

Calculate out z:

5xyz + 3yz + 2xy = z(5xy + 3y + 2x)

Calculate out xy:

5xyz + 3yz + 2xy = xy(5z + 3 + 2z)

So, Damon may utilize any of these three conceivable outcomes as the common calculate for an proportionate expression.

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Answer:

would that be 264.1

Step-by-step explanation:

Answer:

Step-by-step explanation:

That answer is: 12 divided by 37.68 = 3.14

Answer: 7e-5 millimeters, and the nanometer scale is more appropriate

Step-by-step explanation: PLEASE MARK ME BRAINLIEST!!!!!!

-divide the length value by 1e+6

-The millimeter scale and the centimeter scale are two huge, while the nanometer scale is too small. The nanometer scale is often used to measure atoms and viruses.

Answer:

a) The length of the virus in millimetres is 0.000 07 mm.

b) Viruses are microscopic and so nanometres are the more appropriate unit for writing the length of the virus since the nanometre is a smaller unit of measurement than the millimetre.

Step-by-step explanation:

SI is the abbreviation for The International System of Units.

The SI base unit for length is metres (m).

Milli and nano are SI prefixes used to form decimal multiples or submultiples of SI units.

Therefore, to convert nanometres to millimetres, multiply the nanometres by 10⁻⁶:

So 70 nanometres is:

Viruses are microscopic and so nanometres are the more appropriate unit for writing the length of the virus since the nanometre is a smaller unit of measurement than the millimetre.

Answer:

do it yourself what do you do while teacher is teaching

Answer:

Area = 8 sq cm

Step-by-step explanation:

This shape is a parallelogram. Its like a rectangle that got tipped over. Area is:

base × height.

We don't know the base that is on the bottom of the image as it is shown. But if you turn it sideways, the 4 can be the base and the 2 is the height.

Area = b × h

= 4 × 2

= 8

The area is 8 sq cm.

Answer:

4 C3 H6 ........................

Answer:

ef + eg

Step-by-step explanation:

Distributive Property: a(b +c) = (a*b) + (a*c)

e(f +g) = e*f + e*g

           = ef + eg

We have that the 80% of this type of seeds germinate, if we plant 90 seeds, the 80% is: 90 * 80/100 = 72

Then we know that 72 seeds will germinate.

a) The probability that fewer than 75 seeds germinate is 1 or 100%, having in count that at least 72 seeds will germinate.

Then the correct answer is 1 (100%)

b) The probability of 80 or more seeds germinating is 0, again, having in mind the percent of seeds that germinate. In other words, as just 72 of 90 seeds will germinate, it's impossible that 80 or more seeds will germinate.

Then the correct answer is 0 (0%).

c) To approximate the probability that the number of seeds germinated is between 67 and 75 is the average of the probability that 67 seeds have been germinated and the maximum probability because 72 are the seed that will germinate.

Then the correct answer is 0.965

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Answer:

$0.45.

Step-by-step explanation:

Total amount of money held by all 5 children

= 5 * 0.50 = $2.50.

After 0.25 is lost the total = $2.25.

So the new average = 2.25 / 5

= $0.45.