please help I'll do anything

solve the system of equations by using substitution

y = 2x+3
x - y= -2​

Sum of 8th & 4th terms of an AP = 24

Sum of 6th & 10th terms = 44

A.P.

We know that,

nth term of an AP = a + (n - 1)d

Hence,

⟹ a + (8 - 1)d + a + (4 - 1)d = 24

⟹ a + 7d + a + 3d = 24

⟹ 2a + 10d = 24 -- equation (1)

Similarly,

⟹ a + 5d + a + 9d = 44

⟹ 2a + 14d = 44 -- equation (2)

Subtract equation (1) from (2).

⟹ 2a + 14d - (2a + 10d) = 44 - 24

⟹ 2a + 14d - 2a - 10d = 20

⟹ 4d = 20

⟹ d = 20/4

⟹ d = 5

Substitute the value of d in equation (1).

⟹ 2a + 10(5) = 24

⟹ 2a = 24 - 50

⟹ 2a = 24 - 50

⟹ 2a = - 26

⟹ a = - 26/2

⟹ a = - 13

We know,

General form of an AP is a , a + d , a + 2d...

Hence,

⟹ required AP = - 13 , - 13 + 5 , - 13 + 2(5)...

⟹ required AP = - 13 , - 8 , - 3....

I hope it will help you.

Regards.

The conditional statement P→Q is logically equivalent to its contrapositive ¬Q→ ¬P .

A conditional statement is one that has the syntax "If P then Q," with P and Q denoting sentences.

A statement in mathematics is a declarative utterance that can only be either true or false. A proposal is another name for a statement. It's important that there be no ambiguity.

When we reverse the hypothesis and the conclusion in a statement and refute both of them, you have a contrapositive statement.

To put it another way, we must first determine the inverse of the conditional statement that is supplied before switching the positions of the hypothesis and conclusion to discover the contrapositive.

Given the statement p→q , therefore the inverse of both the statements is given by ¬p and ¬q .

So the contrapositive statement will be ¬p → ¬q

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The correct answer is (a) None of these.

The given function is:

u(x, y) = e * cos(y) + xy

We need to find u_xx and u_yy in order to calculate the Laplacian of u.

Differentiating u(x, y) with respect to x, we get:

u_x = y

Differentiating u_x with respect to x again, we get:

u_xx = 0

Similarly, differentiating u(x, y) with respect to y, we get:

u_y = -e * sin(y) + x

Differentiating u_y with respect to y again, we get:

u_yy = -e * cos(y)

Therefore, the Laplacian of u(x, y) is:

u_xx + u_yy = 0 - e * cos(y) = -e * cos(y)

Hence, the correct answer is (a) None of these.

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Answer: 7/6

Step-by-step explanation:

Ok so first we must take these fractions and make them have a common denominator. The best way to do this is to take 2/3 and multiply the numerator and denominator by 8 giving us 16/24. Next take 4/8 and multiply the numerator and denominator by 3 giving us 12/24. Now we have both a common denominator. Now we add the numerators of both (16+12) to get 28/24 but now we have an improper fraction divide the numerator and denominator by 4 to get us 7/6.

Hope this Helps :)

Answer:

(x+y) + (x-y) = x + y + x - y =2x

(x+y)(x-y)=x^2 + yx - xy - y^2 = x^2 - y^2

(x+y) ( x-y)

x^2 - y^2

Step-by-step explanation:

The reliability of the given system is 0.4033.

To calculate the reliability of a system, we need to multiply the reliability values of all the components in the system. In this case, we have a system composed of three components with the following reliability values:

Component 1: 0.90

Component 2: 0.90 0.90 0.85

Component 3: 0.85 0.85 0.92

To find the overall system reliability, we multiply these values together:

System reliability = Component 1 reliability x Component 2 reliability x Component 3 reliability

System reliability = 0.90 x (0.90 x 0.90 x 0.85) x (0.85 x 0.85 *x 0.92)

System reliability ≈ 0.90 x 0.6831 x 0.6528 ≈ 0.4033

Therefore, the reliability of the given system is 0.4033.

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Answer:\(3^1^1\\\)

Step-by-step explanation:

\(\frac{81^4}{3^5}\)

\(\frac{3^1^6}{3^5}\)

The base is same power can be add or subtract

\(3^1^6^-^5\)

\(3^1^1\)

Answer:

5) (2,-3) 6) (-3,-3) 7) (-5,-3)

Step-by-step explanation:

increasing it starts to rise

decreasing drops

constant level

hope this helps

Using the Pythagorean Theorem, it is found that the balloon rises 67.08 feet.

The Pythagorean Theorem relates the length of the legs \(l_1\) and \(l_2\) of a right triangle with the length of the hypotenuse h, according to the following equation:

\(h^2 = l_1^2 + l_2^2\)

Researching this problem on the internet, it is found that the situation is modeled by a right triangle, in which the horizontal distance between the balloon and the student is of 60 ft, the vertical distance is of h, while the hypotenuse is of 90 ft, hence:

\(60^2 + h^2 = 90^2\)

\(h = \sqrt{90^2 - 60^2}\)

\(h = 67.08\)

The balloon rises 67.08 feet.

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Answer:

39 cm taller

Step-by-step explanation:

Subtract the heights:

189 - 150 = 39.

If my answer is incorrect, pls correct me!

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-Chetan K

The interest Ernesto will earn in 1 year to the nearest cent is 2200 cents.

Given the following data:

To calculate how much interest Ernesto will earn in 1 year to the nearest cent:

Mathematically, compound interest is given by this formula:

\(B=P(1+r)^t\)

Where:

Substituting the given parameters into the formula, we have;

\(B=20(1+0.1)^1\\\\B=20(1.1)\)

B = $22.

To cents:

B = \(22 \times 100\)

B = 2200 cents.

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The reformulated problem becomes minimize Z = 2x1 + 3x2 + x3 + M1 + M2 + M3, subject to -  x1 + 4x2 + 2x3 - M1 + A1 = 8, 3x1 + 2x2 - M2 + A2 = 6, x1, x2, x3, M1, M2, M3, A1, A2 ≥ 0, where M1, M2, and M3 are the artificial variables associated with each constraint, and A1 and A2 are the artificial variables for the artificial objective function.

To convert the given problem into a convenient artificial problem for the simplex method, we introduce artificial variables. The objective function remains the same, Minimize Z = 2x1 + 3x2 + x3.

For each constraint, we subtract an artificial variable (M) to represent a surplus or excess value and add an artificial variable (A) to the left-hand side to form equality.

The first constraint becomes x1 + 4x2 + 2x3 - M1 + A1 = 8. Here, M1 serves as an artificial variable representing the surplus or excess of the constraint.

The second constraint becomes 3x1 + 2x2 - M2 + A2 = 6, with M2 as the artificial variable.

Additionally, we introduce artificial variables M3, A1, and A2 in the objective function to track the artificial problem's feasibility.

All variables, including the artificial variables, are non-negative (x1, x2, x3, M1, M2, M3, A1, A2 ≥ 0).

By introducing artificial variables, we can transform the original problem into a form that can be solved using the simplex method, allowing us to determine the feasibility and optimal solution.

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The proportion that is correct to find the value of x in the similar triangles is: B. x/20 = 9/15.

For any two triangles that are similar to each other, their corresponding sides will have lengths that are proportional to each other, which means they have the same ratio.

The triangles as shown in the image attached below are said to be similar to each other, this means they have side lengths that are proportional to each other or their corresponding sides will have proportional lengths.

Therefore, we will have the following proportion if we intend to find the value of x in the image given:

x corresponds to 20 while 9 corresponds to the side that measures (9 + 6) 15.

Therefore, the correct proportion is:

x/20 = 9/15.

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Answer:

The size of the angle is 66.4 degrees

Step-by-step explanation:

The solution is in the image

Answer:

Use the Vertical Angles Theorem

Step-by-step explanation:

The vertical angles theorem states that angles vertical/opposite to each other are congruent. Use the vertical angles theorem in your proof.

Answer:

See below.

Step-by-step explanation:

Answer:

The house will be worth $287,163 in 5 years.

Step-by-step explanation:

To solve this problem, we can use the formula for compound interest:

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

Where:

A = the final amount (the value of the house in 5 years)

P = the initial amount (the value of the house when it was bought)

r = the annual interest rate (5%)

n = the number of times the interest is compounded in a year (we will assume it is compounded annually, so n = 1)

t = the number of years (5)

Plugging in the values, we get:

A = 225,000(1 + 0.05/1)^(1*5)

A = 225,000(1.05)^5

A = 225,000(1.27628)

A = $287,163.00

Therefore, the house will be worth approximately $287,163 in 5 years, rounded to the nearest dollar.

Answer:

$287.2 (After I round it)

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Answer: a

Step-by-step explanation:

Answer:

The correct option is B,15% tax rate with $375 in taxes owed

Step-by-step explanation:

Mary has a taxable income of $40,000 which implies that Mary falls into tax bracket of capital gains tax of 15% for taxable income between $38,601 and $425,800.

The amount capital gains tax payable is however the capital gains itself multiplied by the percentage applicable of 15% not the entire taxable income since that consisted of other income from other sources aside from capital gains

capital gains tax=$2500*15%=$375

Answer: Its C, the rationale is that short-term capital gains are taxed at income tax rate

Step-by-step explanation:

$2500=$550  22%

Plato

The charge on the K+ ion is 1.6 × 10⁻¹⁹ C. This can be calculated using the force and electric field strength, which are related to the mass and acceleration of the ion.

The mass and acceleration of a K+ ion are given as 6.5 × 10⁻²³ kg and 1.7 × 10⁶ m/s², respectively.

To calculate the charge on the K+ ion, we need to use the formula:

F = ma

Where F is the force, m is the mass, and a is the acceleration.

We can rearrange the formula to solve for the force:

F = ma

F = (6.5 × 10⁻²³ kg) × (1.7 × 10⁶ m/s²)

F = 1.105 × 10⁻¹⁶ N

Next, we can use another formula to calculate the charge on the K+ ion:

F = qE

Where F is the force, q is the charge, and E is the electric field strength. We can rearrange the formula to solve for the charge:

q = F/E

We are given the acceleration of the K+ ion, which we can use to find the electric field strength:

E = a/q

We can substitute the value of acceleration a = 1.7 × 10⁶ m/s² and solve for the electric field strength:

E = a/q

q = a/E

Mass of K+ ion m = 6.5 × 10⁻²³ kg

Acceleration a = 1.7 × 10⁶ m/s²

Charge on K+ ion q = 1.6 × 10⁻¹⁹ C

The charge on the K+ ion is 1.6 × 10⁻¹⁹ C. This can be calculated using the force and electric field strength, which are related to the mass and acceleration of the ion.

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(a) To graph the constraints, we can rewrite them in slope-intercept form:

1) 6xx - yy ≥ 18

  -yy ≥ -6xx + 18

  yy ≤ 6xx - 18

2) 3xx + 2yy ≤ 24

  2yy ≤ -3xx + 24

  yy ≤ (-3/2)xx + 12

The feasible region is the area that satisfies both inequalities. To graph it, we can plot the lines 6xx - 18 and (-3/2)xx + 12 and shade the region below both lines.

(b) To draw a line representing all combinations of x and y that make the objective function equal to a specific value, we can choose a value for the objective function and rearrange the equation to solve for y in terms of x. Then we can plot the line using the resulting equation.

(c) To find the optimal solution, we need to find the point(s) within the feasible region that minimize the objective function. If the optimal solution is at the intersection point of two constraints, we can solve the corresponding system of equations to find the coordinates of the intersection point.

(d) After finding the optimal solution(s), we can label them on the graph by plotting the point(s) where the objective function is minimized.

(e) To calculate the optimal value of the objective function, we substitute the coordinates of the optimal solution(s) into the objective function and evaluate it to obtain the minimum value.

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Answer:

En dos años ganará S/. 4440.

Step-by-step explanation:

Puedes encontrar la respuesta utilizando la fórmula para calcular el valor futuro:

VF=VP*(1+(i*n))

VP= valor presente= 3000

i= tasa de interés= 0.02

n= número de periodos de tiempo= 24 meses (2 años corresponden a 24 meses)

VF=3000*(1+(0.02*24))

VF=3000*(1+0.48)

VF=3000*1.48

VF=4440

De acuerdo a esto, la respuesta es que en dos años ganará S/. 4440.

Given the expression:

The expression shows the distribution property of addition

So, 6 ( 3 +4 ) = 6 * 7 = 42

Which will give the same result if we distribute 6 over 3 and 4

So, 6 (3) + 6(4) = 18 + 24 =42

Show the following diagram:

As shown, the rectangle on the left side has 3 rows + 4 rows

Which will give us 7 rows when divided to 6 column will give 42 squares

While the rectangles on the right side. we have divided it to 3 rows and 4 rows, each one of them is divided to 6 column which will give us 18 squares and 24 squares the sum of them will give us 42 squares

So, 6 ( 3 + 4 ) = 6(3) + 6 (4)

Answer:

Step-by-step explanation:

Some of the expressions that can be derived that have the values of 12 are:

i. 2a = 2 x 6

      = 12

ii. 3b = 3 x 4

        = 12

iii. (b  + c) x a = (4 - 2) x 6

                = 2 x 6

                = 12

iv. 2b + \(c^{2}\) = (2 x 4) + (-2 x -2)

                = 8 + 4

                = 12

v. \(b^{2}\) -  \(c^{2}\) = (4 x 4) - (-2 x -2)

             = 16 - 4

             = 12

vi. \(c^{4}\) - b = (-2 x -2 x -2 x -2) + 4

             = 16 - 4

             = 12

Answer:

the question?

Step-by-step explanation:

The flexible budget would reflect monthly operating income of $23,000 and $68,500 for 20,000 bottles of spray and 34,000 bottles of spray, respectively. The correct option is A.

The flexible budget is a tool that helps businesses to forecast their costs and revenues under different levels of activity. In this case, the flexible budget for Summer Nights bug spray is based on the following assumptions:

The selling price of each bottle of bug spray is $0.50.

The variable cost of each bottle of bug spray is $3.25.

The fixed cost is $42,000 for volumes up to 40,000 bottles of spray, and $60,000 for volumes above 40,000 bottles of spray.

The operating income for 20,000 bottles of spray is calculated as follows:

Revenue = 20,000 * $0.50 = $10,000

Variable costs = 20,000 * $3.25 = $65,000

Fixed costs = $42,000

Operating income = $10,000 - $65,000 - $42,000 = $23,000

The operating income for 34,000 bottles of spray is calculated as follows:

Revenue = 34,000 * $0.50 = $17,000

Variable costs = 34,000 * $3.25 = $110,500

Fixed costs = $60,000

Operating income = $17,000 - $110,500 - $60,000 = $68,500

Therefore, the flexible budget would reflect monthly operating income of $23,000 and $68,500 for 20,000 bottles of spray and 34,000 bottles of spray, respectively.

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Answer:

The total number of votes was 7968.

Step-by-step explanation:

From the information given, you know that the ratio of yes votes to no votes was 7 to 5 and you can use a rule of three to find the number of no votes if there were 4648 yes votes:

    7 yes    →   5 no

4648 yes  →      x

x=(4648*5)/7=3320

Now, you have to add up the amount of yes votes and no votes:

4648+3320=7968

According to this, the answer is that the total number of votes was 7968.

Answer:

y-3=2x-4

Step-by-step explanation:

Answer:

The length of each edge of the cube is 1 unit.

Step-by-step explanation:

Volume of the cube = x * x * x = x^3

So x^3 = 1

x = 1.

Answer:

x = 6

Step-by-step explanation:

put '3' in where 'y' is :

7x + 2(3) = 48

7x + 6 = 48              subtract 6 from both sides of the equation

7x = 42                 divide both sides by 7

x = 6

Answer:

$405

Step-by-step explanation:

SI=PTR/100

=9*1*750/100

=$ 67.50

In 6 yrs= 67.50*6

=$405

Answer:

The answer is $1087.50

I got it wrong because someoneeeeeee didnt give the right answer (2 people to be exact)