find the area of this parallelogram. HELP ASAP!

Answer:

Yes, 23 is a prime number, because its only factors are 1 and itself.

Answer:

7.9230

Step-by-step explanation:

Combine like terms

115 = 13x+12

103 = 13x

7.9230 = x

Hope that helps

Answer:

x= -1/51

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

58÷1.095= 53 is the answer

Answer:

5.03196347032

Step-by-step explanation:

We do:

.095x+x=58

1.095x=58

x=52.96

52.96 is a approximation and when you do the math and see what  9.5 of 52.96 plus 52.96 is you get 57.9912 which is super close to 8 The exact answer is x = 5.03196347032

Since we are looking for the value of f(7), we need to find the corresponding output value when the input is 7. From the given function, we see that input 7 corresponds to output 2. f(7) = 2.

To determine the value of f(7), we need to look at the given function f and substitute 7 for the independent variable.

The function f is defined by the ordered pairs (7,2), (9,7), (4,9), and (3,4). The first value in each ordered pair represents the input, while the second value represents the output.

In summary, when we substitute 7 for the independent variable in the given function f = (7,2), (9,7), (4,9), (3,4), we find that f(7) = 2.

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Answer:

-13.62

explanation:

use a method called keep change change, meaning you keep the -4.3, change the minus to a plus, and change the positive to a negative, and then add.

Let's call the greater number "x" and the lesser number "y". According to the problem, we know that:

x - y = 48  (since the difference between the two numbers is 48)

y = (1/3)x   (since the lesser number is one third of the greater number)

Now we can substitute the second equation into the first equation:

x - (1/3)x = 48

Simplifying this equation, we get:

(2/3)x = 48

Multiplying both sides by 3/2, we get:

x = 72

Now that we know x, we can use the second equation to find y:

y = (1/3)x = (1/3)(72) = 24

So the two positive numbers are 72 and 24.

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The solution to the given initial value problem is \(\(y(t) = 2 + 4\cos(t) + 4\sin(t) - t\cos(t) + \sin(t)\ln|\cos(t)|\)\). This answer consists of the trigonometric functions of sine and cosine as well as a logarithmic term involving the absolute value of the cosine function.

We can begin by resolving the corresponding homogeneous equation in order to arrive at this solution  \(\(y'' + y' = 0\)\). The characteristic equation \(\(r^2 + r = 0\)\) has roots \(\(r_1 = 0\)\) and \(\(r_2 = -1\)\). Thus, the homogeneous equation's general solution is \(\(y_h(t) = C_1 + C_2e^{-t}\)\), where \(\(C_1\) and \(C_2\)\) are arbitrary constants.

Next, we must identify a specific non-homogeneous equation solution  \(\(y'' + y' = \sec(t)\)\). We can make an educated guess at a specific solution in the form because the right-hand side is not a polynomial.\(\(y_p(t) = A\cos(t) + B\sin(t) + C\ln|\cos(t)|\)\), where \(\(A\), \(B\), and \(C\)\) are constants to be determined. By substituting this guess into the differential equation, we find that \(\(A = 2\), \(B = 4\), and \(C = -1\)\).

We eventually combine the general and specific solutions to the homogeneous equation to obtain the whole result.

\(\(y(t) = y_h(t) + y_p(t) = C_1 + C_2e^{-t} + 2\cos(t) + 4\sin(t) - \cos(t)\ln|\cos(t)|\)\)

Applying the initial conditions \(\(y(0) = 6\)\) and \(\(y'(0) = -4\)\), we can solve for the constants \(\(C_1\)\) and \(\(C_2\)\) and arrive at the solution mentioned above.

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Answer:

c

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

4 pints = 8 cups

3 cups = 3 cups

8 cups + 3 cups = 11 cups

11 cups = 88 fl oz

Answer:

64 + 24 = 88 oz

Step-by-step explanation:

1 pint = 16 oz  (4 x 16 = 64)

1 cup = 8 oz (3 x 8 =24)

Answer:

11%

Step-by-step explanation:

find the price of the shirts before markup by dividing 10800 by 400

You get 27, which you will subtract 30 by, getting you 3.

Divide this number by 27

.11

Answer:

50%?

Step-by-step explanation:

Answer:

55.5%

Step-by-step explanation:

Decrease is negative so It maybe - 55.5%

Answer: 18

Step-by-step explanation:

\(9m+2 \\ -(3m+8) \\ - - - - - \\ 6m - 6 \\ - - - - - \)

Solution :-

\(9m + 2 - (3m + 8) \\ 9m + 2 - 3m - 8 \\ m(9 - 3) + (2 - 8) \\ 6m - 6\)

Answer:

6m - 6

Step-by-step explanation:

9m + 2 - (3m + 8) = 9m + 2 -3m -8

= 9m - 3m + 2 - 8

= 6m - 6

when you open the brackets, -(+3m) = -3m because when a positive sign times a negative sign, you get a negative sign. so, same thing for -(+8) = -8

Answer:

120.8

Step-by-step explanation:

The length of the side parallel to the barn that will maximize the area of the pasture is 38 feet.

To find the length of the side parallel to the barn that maximizes the area of the pasture, we can use calculus. Let's denote the length of the side parallel to the barn as x. The other two sides of the rectangular pasture are perpendicular to the barn, so their lengths will be fixed.

Let's consider the area of the pasture as a function of x. The area, A, is given by A = x * (l - 2x), where l is the length of the barn.

To maximize the area, we can take the derivative of A with respect to x and set it equal to zero: dA/dx = l - 4x = 0.

Solving for x, we get x = l/4.

Substituting l = 150 feet into the equation, we find x = 150/4 = 37.5 feet.

To the nearest foot, the length of the side parallel to the barn that will maximize the area of the pasture is 38 feet.

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405 - 217 by converting the number in the decimal form and repeated dividing by 8 we get 272 in base eight.

To convert the difference 405 - 217 to base eight (octal), follow these steps:

Convert the numbers to decimal form:

405 (decimal) - 217 (decimal)

Calculate the difference:

405 - 217 = 188

Convert the difference (188) to octal:

Divide 188 by 8 repeatedly and record the remainders until the quotient becomes 0.

188 ÷ 8 = 23 remainder 4

23 ÷ 8 = 2 remainder 7

2 ÷ 8 = 0 remainder 2

Write the remainders in reverse order to get the octal representation:

The octal representation of 188 is 272.

So, 405 - 217 is equal to 272 in base eight.

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Answer: 19 and 1/2 cups

Step-by-step explanation:

write out the problem then do 3/4 then multiply by 13. Next, multiply the answer by 2.

Hope this helps!

The current it conduct when it is plugged into a wall outlet that provides 120 V is 10.4A

The current passing through a conductor is proportional to the potential difference. Mathematically;

V = IR
where
V is the voltage = 120V

R is the resistance = 11.5 ohms

Required

Current I

Substitute

I = V/R
I = 120/11.5
I = 10.4A

Hence  the current it conduct when it is plugged into a wall outlet that provides 120 V is 10.4A

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Answer:

6000 cents

Step-by-step explanation:

60$ is 6000 cent because you would think 100 cent is 1$ so then you would times that by 60 and a fast way to do that is to do 100 then 60 has 1 0's so add 1 0 to the end put the 1 to a 6.

Hope This Helps

Answer:

4miles

Step-by-step explanation:

mean = (6.5+5+2+2+4.5)/5 = 20/5 = 4

Answer:

6.00

Step-by-step explanation:

Answer:

(e - 7)(e + 5)

Step-by-step explanation:

If factored form is (e + a)(e + b), then a*b will equal the constant (last term, -35) and a+b will equal the second term’s coefficient (-2). Notice that -7*5 = -35 and -7+5 = -2. Thus, -7 and 5 will be values a and b:

(e - 7)(e + 5)

Answer:

The intersection points are (-1,0) and (10,0)

Step-by-step explanation:

Brainliest if i am right? uwu

The integral of \(x^3/\sqrt(x^2+4)\) using trigonometric substitution is: \(8 * (1/3)tan^2\theta(1 + tan^2\theta)^(3/2) + C\), where θ is determined by x = 2tanθ, and C represents the constant of integration

What is integration?

Integration is a fundamental concept in calculus that involves finding the integral of a function.

To integrate the function \(\int(x^3/\sqrt(x^2+4))\) dx using a trigonometric substitution, we can use the substitution x = 2tanθ. Let's go through the steps:

Substitute x = 2tanθ. This implies \(dx = 2sec^2\theta d\theta.\)

Rewrite the integral in terms of θ:

\(\int((8tan^3\theta)/(\sqrt(4tan^2\theta+4))) * 2sec^2\theta d\theta.\)

Simplify the expression inside the square root:

\(\int((8tan^3\theta)/(2sec\theta)) * 2sec^2\theta d\theta.\\\\\int(8tan^3\theta) * sec\theta d\theta.\)

Simplify further:

\(16\int tan^3\theta sec\theta d\theta.\)

Apply the trigonometric identity: \(sec^2\theta = 1 + tan^2\theta\). Rearranging, we get: \(sec\theta = \sqrt(1 + tan^2\theta).\)

Substitute \(sec\theta = \sqrt(1 + tan^2\theta)\) in the integral:

\(16\int tan^3\theta * \sqrt(1 + tan^2\theta) d\theta.\)

Let u = tanθ, which implies \(du = sec^2\theta d\theta\). We can rewrite the integral in terms of u:

\(16\int u^3 * \sqrt(1 + u^2) du.\)

Now we have a rational power of u. We can use the substitution \(v = 1 + u^2\) to simplify it:

\(v = 1 + u^2\), which implies dv = 2u du.

Rewrite the integral using v:

\(16\int (u^3 * \sqrt v) * (1/2u) dv.\\\\8\int (u^2\sqrt v) dv.\)

Simplify and integrate:

\(8\int (u^2\sqrt v) dv = 8\int(u^2 * v^{(1/2)}) dv = 8\int u^2v^{(1/2)} dv.\)

Integrate \(u^2v^{(1/2)\) with respect to v:

\(8 * (1/3)u^2v^{(3/2)} + C.\)

Replace v with \(1 + u^2\):

\(8 * (1/3)u^2(1 + u^2)^{(3/2)} + C.\)

Substitute u = tanθ back into the expression:

\(8 * (1/3)tan^2\theta(1 + tan^2\theta)^{(3/2)} + C.\)

So, the integral of \(x^3/\sqrt(x^2+4)\) using trigonometric substitution is:

\(8 * (1/3)tan^2\theta(1 + tan^2\theta)^{(3/2)} + C,\)

where θ is determined by x = 2tanθ, and C represents the constant of integration

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Each model should be produced on a weekly basis to maximize net profit is $75,900.

What is Net profit?

In both business and accounting, net income or profit is an entity's revenue less cost of goods sold, costs, depreciation and amortisation, interest, and taxes for a certain accounting period.

As given,

Number of products sold:

T ≥ 1.5G

Maximize Profit Z = 150T + 130G

Labor Constraint:

Labor hours Available:

Production Department:

Number of labor hours available per day = 58 × 7 = 406

Number of days in a week = 5

Number of lobor ours available per week = 406 × 5 = 2030

Assembly Department:

Number of labor hours available per day = 25 × 7 = 175

Number of days in a week = 5

Number of labor hours available per week = 175 × 5 = 875.

Labor hours Required:

Labor hours required for G1 model:

Labor hours required at Production department = 3.5G

Labor hours required at assembly department = 2G

Labor hours required for T1 model:

Labor hours required at Production department = 4T

Labor hours required at Assembly department = 1.5T

Total labor hours required at Production department = 3.5G + 4T

Total labor hours required at Assembly department = 2G + 1.5T.

Constraint:

Labor hours required ≤ Labor hours Available.

Production department Labor constraint

3.5G + 4T ≤ 2030

Assembly department Labor constraint:

2G + 1.5T ≤ 875

The function:

Maximum Profit Z = 150T +130G

Constraint:

3.5G +4T ≤ 2030

2G + 1.5T ≤ 875

T ≥ 1.5G

Suppose that for example:

10.5G +12T = 6090

 16G + 12T = 7000

Solve both equations simultaneously,

5.5G = 7000 - 6090

5.5G = 910

    G = 910/5.5

    G = 363

Since, T > G

Hence,

T = 363,

G = 165

Calculate Profit:

150T + 130G = 150 × 363 + 130 × 165

                     = 54450 + 21450

                     = 75900

Hence, each model should be produced on a weekly basis to maximize net profit is $75,900.

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Answer:

it's the ice.

Step-by-step explanation:

.........

Answer:

ice

Step-by-step explanation:

i got it right on test

Answer:

The contact force between the block and the stick immediately before the system is released, we can use the equations of motion for the stick and the block.

Step-by-step explanation:

(a) To prove that the stick will hit the table before the block if cos θ0 ≥√2/3, we need to consider the motion of the stick and the block separately.

Let's start with the motion of the stick. The stick is pivoted at one end and released from rest at an angle θ0 with the table. The gravitational force acting on the stick can be resolved into two components: one parallel to the table and one perpendicular to the table. The component parallel to the table will cause the stick to rotate and the component perpendicular to the table will cause the stick to move downwards. The motion of the stick can be described using the following equations:

Iα = MgLsinθ - F

Ma = MgLcosθ - N

where I is the moment of inertia of the stick about its pivot point, α is the angular acceleration of the stick, M is the mass of the stick, g is the acceleration due to gravity, F is the force of friction between the stick and the table, a is the linear acceleration of the stick, and N is the normal force between the stick and the table.

Now, let's consider the motion of the block. The block is placed at the other end of the stick and remains at rest. The gravitational force acting on the block can be resolved into two components: one parallel to the table and one perpendicular to the table. The component parallel to the table will cause the block to move with the stick and the component perpendicular to the table will cause the block to move downwards. The motion of the block can be described using the following equation:

ma = MgLcosθ - N

where m is the mass of the block.

If the stick hits the table before the block, then the angle θ at which this happens satisfies the condition a = 0. In other words, the linear acceleration of the stick is zero at the instant the stick hits the table. Substituting a = 0 into the equation for the linear acceleration of the stick, we get:

MgLcosθ - N = 0

Substituting N = Mgcosθ into the equation for the linear acceleration of the block, we get:

ma = MgLcosθ - Mgcosθ

Simplifying this expression, we get:

ma = Mg(cosθ)(L - 1)

Since the block is at rest, its acceleration is zero. Therefore, cosθ = 0 or L = 1. Since L is the length of the stick, it cannot be less than 1. Therefore, we must have cosθ = 0, which means that θ = π/2.

Now, let's consider the condition cos θ0 ≥√2/3. We can rewrite this condition as θ0 ≤ cos-1(√2/3). If θ0 is less than or equal to π/4, then cos θ0 is greater than or equal to √2/2, which is greater than √2/3. Therefore, we can assume that θ0 is greater than π/4.

Using the equations for the motion of the stick and the block, we can show that if θ0 ≤ cos-1(√2/3), then the block will hit the table before the stick. This can be done by solving the equations of motion for the stick and the block numerically or by using energy conservation arguments. However, this is beyond the scope of this answer.

(b) To find the contact force between the block and the stick immediately before the system is released, we can use the equations of motion for the stick and the block. At the instant the system is released, the stick and the block are at rest and

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Answer:

i think its b

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

Answer:

The first machine can make 14,400 screws in 8 hours, which is equivalent to 1,800 screws per hour. The second machine can make twice as many screws per hour, so it can make 3,600 screws per hour. Since there are 60 minutes in an hour, the constant of proportionality between the number of screws and the number of minutes for the second machine is 3,600/60 = 60 screws per minute.

Step-by-step explanation: