An isosceles triangle has an Angel that measures 66 degrees. What measures are possible for the other two angles

Answer:

38%

Step-by-step explanation:

22 ÷ 58 = 0.3793...

Ans × 100 = 37.93%

As a whole number = 38%

Answer: 0.064

Step-by-step explanation:

Answer:

Approx = 8/125

Step-by-step explanation:

Hope this helps you my friend!!

The value of the computer after 5 years is $189.84 and \(v = 800 * (3/4)^t\) , where v is the value of the computer t years after it is purchased.

1. The computer costs $800 initially and loses 1/4 or 25% of its value every year. We can represent this decrease in value using the following formula:

\(v = 800 * (1 - 1/4)^t\)

where v is the value of the computer t years after it is purchased. Simplifying this equation, we get:

\(v = 800 * (3/4)^t\)

2. To find the value of the computer when t is 5, we can substitute t = 5 into the equation we derived in step 1:

\(v = 800 * (3/4)^5\)

\(v = 800 * 0.2373\)

\(v = 189.84\)

This means that the value of the computer after 5 years is $189.84. This value is less than the initial cost of the computer, which was $800. It indicates that the computer has significantly depreciated in value over time, losing approximately 76% of its initial value.

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The complete question is :

A computer costs $800. It loses 1/4 of its value every year after it is purchased.

1. Write an equation representing the value, v, of the computer, t years after it is purchased.

2. Use your equation to find v when t is 5. What does this value of v mean?

Answer:

Step-by-step explanation:

5/6

Answer:

5/6 or approximately 0.8333 (83.33%)

Step-by-step explanation:

This is because there are five possible outcomes that are not a 3 (1, 2, 4, 5, 6) out of a total of six possible outcomes.

Fuzzy logic is commonly utilized in computer science, artificial intelligence, engineering, and other fields that require imprecise or ambiguous information to be handled.

The mathematical method of handling imprecise or subjective information is fuzzy logic.What is the mathematical method of handling imprecise or subjective information?The mathematical method of handling imprecise or subjective information is fuzzy logic. It is a form of reasoning that allows for the management of approximate, subjective, or ambiguous information to be carried out using a mathematical model. It is a soft computing technique that uses artificial intelligence to model uncertainty and imprecision in data. Fuzzy logic is commonly utilized in computer science, artificial intelligence, engineering, and other fields that require imprecise or ambiguous information to be handled.

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The rotation rule used in this problem is given as follows:

90º counterclockwise rotation.

The five more known rotation rules are given as follows:

The equivalent vertices for this problem are given as follows:

Hence the rule is given as follows:

(x,y) -> (-y,x).

Which is a 90º counterclockwise rotation.

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The expression f(x)=g(x) indicate the points in the graph where the two functions intersect, i.e. when they cross

In this graph, g(x) cuts f(x) in two points (-4,4) and (0,4)

Now f(x) is a contstant, it has no slope and is equal to 4, always.

Since g(x) cuts f(x) in point (-4,4), you can say that f(-4)= g(-4)

Second cut is in point (0,4), this means f(0)= g(0)

The correct option is number 2 f(-4)= g(-4) and f(0)= g(0)

9% of 89

\( \frac{9}{100} \times 89\)

801/100

= 8.01

Step-by-step explanation:

There are 6 equal square sides that make up the cube's surface area.

Each of these square sides are 14in * 14in = 196 square inches in area.

Hence, the surface area of the container is 6 * 196 = 1176 square inches.

Answer:

6 children passes

Step-by-step explanation:

a = adult and c = children

25a + 15c = 440           and          a + c = 20

                                                     c = 20 - a

25a + 15(20-a) = 440

25a + 300 - 15a = 440

25a - 15a = 440 - 300

10a = 140

a = 140/10

a = 14 and this is 14 adult tickets

Now we plug the a value into the equation to find the c value

14 + c = 20

c = 20 - 14

c = 6

Verify answer:

25(14) = 15(6) = 440

350 + 90 = 440

440 = 440

the answer is.....

-26

Answer:

8/3  or 2   2/3

Step-by-step explanation:

so we take 3/4 and flip it. 2 x 4/3= 8/3  or   2    2/3

Hope this helps :3

The Quotient is 8/3.

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.

Given:

2 divided by 3/4

As, division is not possible in fraction so we will perform the multiplication

= 2  ÷ 3/4

= 2 x 4/3

= 8/3

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Answer:ITS NOT D

Step-by-step explanation:

The component form of the velocity vector of the airplane is 150√2 mph.

The pace at which an object's position changes is represented by a velocity vector. A velocity vector's magnitude indicates an object's speed, whereas the vector's direction indicates its direction.

The velocity vector is calculated as:-

\(\widehat{V}\) = Vcos45

\(\widehat{V}\) = 300 x ( 1 / √2 )

\(\widehat{V}\) = ( 2 x 150 ) / √2

\(\widehat{V}\) = 150√2 mph

Hence, the velocity vector of the airplane is 150√2 mph.

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The height of the triangular face of the box is 6 cm when the Volume of the box is 3,240 cubic cm.

Given Parameters,

The length of the box (l) = 30 cm

The breadth of the box (b) = 18 cm

The height of the box  = h

The Volume of the prism = l * b * h

It is given that the volume of the prism is 3,240 cubic cm.

Thus,

l * b * h = 3,240

Putting the values of length and breadth, we have

30 * 18 * h = 3,240

540 * h = 3,240

h = 3,240/540

h = 6

Thus, the height of the triangular face of the box is 6 cm.

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Answer:

160

Step-by-step explanation:

To maximize profits, the firm should produce a quantity of goods x = 5 and y = 10, based on the cost function and price constraints.

To maximize profits, the firm needs to find the quantities of goods x and y that will yield the highest profit. The profit function can be defined as the revenue minus the cost. Revenue is calculated by multiplying the quantity of each good produced with their respective prices, while the cost function is given as C(x, y) = 10x + xy + 10y.

The firm is committed to delivering a total of 15 units, which can be expressed as x + y = 15. To determine the optimal production quantities, we need to maximize the profit function subject to this constraint.

By substituting the price expressions Ps = 50 - x + y and Py = 50 - x + y into the profit function, we obtain the profit equation. To find the maximum profit, we can take the partial derivatives of the profit equation with respect to x and y, set them equal to zero, and solve the resulting system of equations.

Solving the equations, we find that the optimal production quantities are x = 5 and y = 10, which maximize the firm's profits.

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Answer:

None. Both the amount of sugar and the amount of flour would be equal.

The recipe has more flour than sugar.

Therefore, the simplified sum of the expression 7 1/4 and 4 5/12 is 35/3 that is option D, 11 2/3.

In mathematics, an expression is a combination of symbols and/or numbers that represents a quantity or a mathematical relationship between quantities. Expressions can be simple or complex, and can involve arithmetic operations, algebraic operations, functions, and variables.

Here,

To add these mixed numbers, we need to first convert them to improper fractions with the same denominator:

7 1/4 = 28/4 + 1/4

= 29/4

4 5/12 = 48/12 + 5/12

= 53/12

Now, we can add the fractions:

=29/4 + 53/12

To find a common denominator, we can multiply the denominator of the first fraction by 3 and the denominator of the second fraction by 1:

29/4 × 3/3 = 87/12

53/12 × 1/1 = 53/12

Now we have the same denominator, so we can add the numerators:

87/12 + 53/12 = 140/12

We can simplify by dividing the numerator and denominator by their greatest common factor, which is 4:

140/12 ÷ 4/4 = 35/3

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The solution to the system of differential equations that satisfies the initial conditions x(0)=5 and y(0)=3 is:

x(t) = (29/3) \(e^{\frac{22t}{3} }\) - (4/3) \(e^{\frac{-16t}{3} }\)

y(t) = (-13/3) \(e^{\frac{22t}{3} }\) + (2/3) \(e^{\frac{-16t}{3} }\)

To solve the system of differential equations, we can use matrix exponential. The system can be written in matrix form as follows:

X' = AX, where X = [x y], A = [22 60; -6 -16]

The matrix exponential of A can be calculated as follows:

\(e^{(At)}\) = I + At + \(\frac{(At)^{2}}{2!}\) + \(\frac{(At)^{3}}{3!}\) + ...

where I is the identity matrix and t is the variable of integration.

We can substitute A and t = 1 into the formula to get:

\(e^{A}\)= I + A + \(\frac{(A)^{2}}{2!}\) + \(\frac{(A)^{3}}{3!}\)+ ...

= [1 0; 0 1] + [22 60; -6 -16] + [44 192; -36 -104]/2! + [ -256 -768; 96 272]/3! + ...

= [1 + 22 + \(\frac{44}{2!}\) - \(\frac{256}{3!}\)*60 + \(\frac{192}{2!}\) - \(\frac{768}{3!}\);

-6 + \(\frac{(-6)}{2!}\) + \(\frac{96}{3!}\) - 16 + \(\frac{(-104)}{2!}\)+ \(\frac{272}{3!}\)]

= [\(\frac{29}{3}\) \(\frac{102}{3}\);

\(\frac{-13}{3}\)  \(\frac{-4}{3}\) ]

Now we can use the initial conditions to find the constants of integration. We have:

X(0) = [x(0) y(0)] = [5 3]

So,

[\(e^{A}\)] [\(c_{1}\)] = [5]

[\(c_{2}\)] [3]

Multiplying both sides by the inverse of \(e^{A}\), we get:

[\(c_{1}\)] = [29/3 102/3]^(-1) [5]

[\(c_{2}\)] [-13/3 -4/3] [3]

Solving this system of linear equations, we get:

\(c_{1}\) = -4/3

\(c_{2}\) = 2/3

Therefore, the solution to the system of differential equations that satisfies the initial conditions x(0)=5 and y(0)=3 is:

x(t) = (29/3) \(e^{\frac{22t}{3} }\) - (4/3) \(e^{\frac{-16t}{3} }\)

y(t) = (-13/3) \(e^{\frac{22t}{3} }\) + (2/3) \(e^{\frac{-16t}{3} }\)

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Answer:

x - y - 1 = 0

Step-by-step explanation:

Using y-intercept

b = y - m × x

b = 7 - (1) × (8) = -1

y = mx + b/Flip expression, subtracting from all sides

assuming x ≠ 0 for x = 1

assuming y = 0

y = x - 1

x - y - 1 = 0

Profit per unit is maximized when the firm produces the output where the average total cost (ATC) is minimized. This is because profit per unit is calculated by subtracting the average total cost from the price (P) of the product.

By minimizing the ATC, the firm is able to minimize its costs and increase its profit per unit.

The condition "MC equals MR" is a necessary condition for profit maximization, but it does not guarantee that profit per unit will be maximized.

MC stands for marginal cost, which represents the additional cost incurred by producing one more unit of output. MR stands for marginal revenue, which represents the additional revenue earned from selling one more unit of output.

For profit maximization, it is important that marginal revenue is greater than or equal to marginal cost (MR ≥ MC). This condition ensures that producing an additional unit of output will contribute positively to overall profit.

However, it is the combination of minimizing ATC and satisfying the condition MR ≥ MC that leads to profit per unit being maximized.

When demand equals MC, it implies that the firm is operating at the optimal level of output where marginal cost equals the price, ensuring that the additional cost of producing one more unit is fully covered by the additional revenue generated from selling that unit.

In conclusion, while MC equals MR is a necessary condition for profit maximization, profit per unit is actually maximized when the firm produces the output level where the ATC is minimized and satisfies the condition MR ≥ MC.

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Answer:

The Equation to find the smallest integer =

4x + 6 = 170

The smallest integer = First integer = x = 41

Step-by-step explanation:

Four consecutive integers is represented by:

First Integer = x

Second Integer = x + 1

Third Integer = x + 2

Fourth Integer = x + 3

The sum of four consecutive integers is 170.

x + x + 1 + x + 2 + x + 3 = 170

The Equation to find the smallest integer =

4x + 6 = 170

4x = 170 - 6

4x = 164

x = 164/4

x = 41

Therefore:

The Equation to find the smallest integer =

4x + 6 = 170

The smallest integer = First integer = x = 41

Answer:

47.68 inches

Step-by-step explanation:

As seen in the diagram attached below we can see that the tv is a rectangle. We are given the diagonal and the height which means we have to find the length. Since the tv diagonal forms a right triangle we can use the Pythagorean theorem to solve for the length. This theorem would be the following.

\(a^{2} + b^{2} = c^{2}\)

where a and b are the sides of the triangle and c is the diagonal.

\(27^{2} + b^{2} = 54.8^{2}\)

\(729 + b^{2} = 3,003.04\)

\(b^{2} = 2,274.04\)

\(b = 47.68\)

Finally, we can see that the length of the TV is 47.68 inches

Answer:

-4

Step-by-step explanation:

subtract then divide both sides

Answer:

\(x < -4\)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

The value of \( r_{2} \) is approximately 1.028 m. The moment or torque is calculated by multiplying the force applied by the distance from the point of rotation.

To find the value of \( r_{2} \), we need to use the concept of moments or torques in a system. The moment or torque is calculated by multiplying the force applied by the distance from the point of rotation.

In this case, if we assume that \( r_{1} \) and \( r_{2} \) are the distances of masses \( m_{1} \) and \( m_{2} \) from the point of rotation respectively, then the torques exerted by \( m_{1} \) and \( m_{2} \) should be equal since the system is in equilibrium.

Using the equation for torque:

Torque = Force × Distance

The torque exerted by \( m_{1} \) is given by:

\( \text{Torque}_{1} = m_{1} \cdot g \cdot r_{1} \)

where \( g \) is the acceleration due to gravity.

The torque exerted by \( m_{2} \) is given by:

\( \text{Torque}_{2} = m_{2} \cdot g \cdot r_{2} \)

Since the system is in equilibrium, \( \text{Torque}_{1} = \text{Torque}_{2} \), we can equate the two equations:

\( m_{1} \cdot g \cdot r_{1} = m_{2} \cdot g \cdot r_{2} \)

Now, let's substitute the given values into the equation and solve for \( r_{2} \):

\( 120 \, \text{lbs} \cdot 9.8 \, \text{m/s}^{2} \cdot 1.8 \, \text{m} = 210 \, \text{lbs} \cdot 9.8 \, \text{m/s}^{2} \cdot r_{2} \)

Simplifying the equation:

\( 2116.8 \, \text{N} \cdot \text{m} = 2058 \, \text{N} \cdot r_{2} \)

Dividing both sides of the equation by 2058 N:

\( r_{2} = \frac{2116.8 \, \text{N} \cdot \text{m}}{2058 \, \text{N}} \)

\( r_{2} \approx 1.028 \, \text{m} \)

Therefore, the value of \( r_{2} \) is approximately 1.028 m.

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(a)we have two possible solutions for u:

u1 = 2i + sqrt(12)

u2 = 2i - sqrt(12)

(b)These expressions give the general solutions for z in terms of logarithmic functions.

(a) To solve the equation sin(z) = 2 for z, we can use the definition of the complex sine function in terms of exponential functions:

sin(z) = (e^(iz) - e^(-iz)) / (2i)

Substituting sin(z) = 2, we have:

2 = (e^(iz) - e^(-iz)) / (2i)

To simplify the equation, we can multiply both sides by 2i:

4i = e^(iz) - e^(-iz)

Let's denote u = e^(iz), then the equation becomes:

4i = u - 1/u

Multiplying both sides by u, we get:

4iu = u^2 - 1

Rearranging the equation:

u^2 - 4iu - 1 = 0

Now we have a quadratic equation in terms of u. We can solve this equation using the quadratic formula:

u = (-(-4i) ± sqrt((-4i)^2 - 4(1)(-1))) / (2(1))

u = (4i ± sqrt(-16 + 4)) / 2

u = 2i ± sqrt(12)

Therefore, we have two possible solutions for u:

u1 = 2i + sqrt(12)

u2 = 2i - sqrt(12)

Now, we need to solve for z. Taking the natural logarithm of both sides of u = e^(iz), we have:

ln(u1) = ln(2i + sqrt(12))

ln(u2) = ln(2i - sqrt(12))

Using the properties of logarithms, we can express z in terms of the natural logarithm:

z = (ln(u1)) / i

z = (ln(u2)) / i

(b) Using logarithmic functions to find z from e^(iz):

We have two solutions for u:

u1 = 2i + sqrt(12)

u2 = 2i - sqrt(12)

Taking the natural logarithm of both sides:

ln(u1) = ln(2i + sqrt(12))

ln(u2) = ln(2i - sqrt(12))

By using the properties of logarithms, we can simplify the expressions:

ln(u1) = ln(2i) + ln(1 + sqrt(3))

ln(u2) = ln(2i) + ln(1 - sqrt(3))

Next, we can express ln(2i) in terms of its exponential form:

ln(2i) = ln(2) + i(pi/2 + 2kπ), where k is an integer

Finally, substituting this into the equations for ln(u1) and ln(u2):

ln(u1) = ln(2) + i(pi/2 + 2kπ) + ln(1 + sqrt(3))

ln(u2) = ln(2) + i(pi/2 + 2kπ) + ln(1 - sqrt(3))

These expressions give the general solutions for z in terms of logarithmic functions. The solutions will involve complex numbers due to the presence of the imaginary unit i.

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Answer:

I'm pretty sure its A

Step-by-step explanation:

Answer: The answer is 38ft^2

Step-by-step explanation:

3 x 10 = 30

6 - 10 = 4

5 - 3= 2

4 x 2 = 8

30 + 8= 38

Answer: 38ft^2