Evaluate : -80 - (-15) =

The given equation is X² + 7y² = 7, and dy/dx by implicit differentiation of the given equation gives dy/dx = -2x/14y or, dy/dx = -x/7y.

We have been given the equation X² + 7y² = 7, and we have to find the value of dy/dx using implicit differentiation. To do that, we need to differentiate both sides of the equation with respect to x. Differentiating X² + 7y² = 7 with respect to x, we get:

d/dx(X² + 7y²) = d/dx(7)

2x + 14y(dy/dx) = 0

Now, we can simplify this equation further by solving it for (dy/dx).

14y(dy/dx) = -2x

dy/dx = -2x/14y

dy/dx = -x/7y

Hence, we have found the value of dy/dx using implicit differentiation. We can simplify this result further if we know the values of x and y. But since we have not been given any specific values, we can leave the answer in this form.

The value of dy/dx for the given equation X² + 7y² = 7 has been found using implicit differentiation. We can use this method to find the derivative of any equation that is difficult to differentiate explicitly.

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The equivalent unit of production- Weighted Average Method is given in the attached image.

The equivalent units of production (EUP) in the weighted average method refer to the units of output that have been partially completed during a period, and are expressed in terms of fully completed units.

In the weighted average method, the costs incurred during the period are combined with the costs of beginning work in process (BWIP) to determine the cost per equivalent unit. This cost per equivalent unit is then used to assign costs to the units completed and transferred out and to the units still in process at the end of the period.

The EUP in the weighted average method is calculated by adding together the units completed during the period with the equivalent units of work done on the units that are still in process at the end of the period.

The equivalent units are calculated by multiplying the number of partially completed units by the percentage of completion for the period.

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Answer:

n(a): 6

n(a b): 4

n(a c) : 10

n (a b c): 8

n (a b c): 8

n (a b c): 8

Hope it helps :) Brainliest pls

Answer: the answer is 0.05, 0.2, 1/4

Step-by-step explanation: 1/4 is greatest because 1/4 = 0.25 and 0.2 is next because it is 0.20 and then 0.05 would be least

Carlos have to travel 105 miles to reach the destination.

The path followed by an object to travel a predetermined distance at a predetermined speed from one place to another is called the distance traveled. As was previously said, the distance formula combines distance, speed, and time.

As per the details share in the above question are as bellow,

The details provided are as follow,

Carlos is traveling by automobile for more than 240 miles.

Carlos has traveled 135 miles so far.

How far must Carlos still travel?

We have to use subtraction method to determine the distance remaining.

Now subtract the total distance by the distance traveled,

Substitute the value in above we get,

=240-135

=105 miles

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The required value of the x is 13 in the measures of the angle.

Given that,

Line A and B are parallel lines and intersect by a transversal line.

Here,

If a pair of parallel lines intersect by the transversal line then their corresponding angles are equal in measure,

Thus, we get;

8x + 2 = 14x - 76

6x = 78

x = 78 / 6

x = 13

Thus, the required value of the x is 13 in the measures of the angle.

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The Taylor series is an infinite sum of terms that are calculated from the derivatives of a function at a particular point. The Taylor series expansion is used to approximate a function near a certain value.

The first-order approximation can be calculated using the formula:\(f(x) ≈ f(x₁) + hf'(x₁)\)
\(f(x) = -0.1x4-0.15x³-0.5x²-0.25x + 1.2\) \(f(x) ≈ f(0) + hf'(0) = 1.2 - 0.25 = 0.95\)

Second-order approximation: The second-order approximation can be calculated using the formula:
\(f(x) ≈ f(x₁) + hf'(x₁) + h²f''(x₁)/2\)\(f(x) = -0.1x4-0.15x³-0.5x²-0.25x + 1.2\)from x=1 is given by :\(f(x) ≈ f(0) + hf'(0) + h²f''(0)/2 = 1.2 - 0.25 - 0.5/2 = 0.95\)

Third-order approximation: \(f(x) ≈ f(x₁) + hf'(x₁) + h²f''(x₁)/2 + h³f'''(x₁)/6\)\(f(x) = -0.1x4-0.15x³-0.5x²-0.25x + 1.2\) \(f(x) ≈ f(0) + hf'(0) + h²f''(0)/2 + h³f'''(0)/6 = 1.2 - 0.25 - 0.5/2 - 0/6 = 0.95\)

Fourth-order approximation: The fourth-order approximation can be calculated using the formula: \(f(x) ≈ f(x₁) + hf'(x₁) + h²f''(x₁)/2 + h³f'''(x₁)/6 + h⁴f⁴(x₁)/24\) \(f(x) = -0.1x4-0.15x³-0.5x²-0.25x + 1.2\) \(f(x) ≈ f(0) + hf'(0) + h²f''(0)/2 + h³f'''(0)/6 + h⁴f⁴(0)/24\)
\(1.2 - 0.25 - 0.5/2 - 0/6 - 0/24 = 0.95\)

Therefore, the predicted value of the function f(x) at x=1 using zero-through fourth-order Taylor series approximations with x₁=0 and h=1 is 0.95.

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A. The total differential of the utility function U(X,Y) = X^αY^β is dU = αX^(α-1)Y^β dX + βX^αY^(β-1) dY.

B. The total differential of the utility function U(X, Y) = X^2 + Y^3 + XY is dU = (2X + Y) dX + (3Y^2 + X) dY.

A. The total differential of a function represents the small change in the function caused by infinitesimally small changes in its variables. In this case, we are given the utility function U(X, Y) = X^αY^β, where α and β are constants.

To find the total differential, we differentiate the utility function partially with respect to X and Y, and multiply the derivatives by the differentials dX and dY, respectively.

For the partial derivative with respect to X, we treat Y as a constant and differentiate X^α with respect to X, which gives αX^(α-1). We then multiply it by the differential dX.

Similarly, for the partial derivative with respect to Y, we treat X as a constant and differentiate Y^β with respect to Y, resulting in βY^(β-1). We then multiply it by the differential dY.

Adding these two terms together, we obtain the total differential of the utility function:

dU = αX^(α-1)Y^β dX + βX^αY^(β-1) dY.

This expression represents how a small change in X (dX) and a small change in Y (dY) affect the utility U(X, Y).

B. To find the total differential of the utility function U(X, Y) = X^2 + Y^3 + XY, we differentiate each term of the function with respect to X and Y, and multiply the derivatives by the differentials dX and dY, respectively.

For the first term, X^2, we differentiate it with respect to X, resulting in 2X, which is then multiplied by dX. For the second term, Y^3, we differentiate it with respect to Y, resulting in 3Y^2, which is multiplied by dY. Finally, for the third term, XY, we differentiate it with respect to X and Y separately, resulting in X (multiplied by dY) and Y (multiplied by dX).

Adding these three terms together, we obtain the total differential of the utility function:

dU = (2X + Y) dX + (3Y^2 + X) dY.

This expression represents how a small change in X (dX) and a small change in Y (dY) affect the utility U(X, Y).

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Answer:

Statistical inference

Step-by-step explanation:

Rearrange the equation from part A, we get y = (x - 1)^2 - 8

From the comlete question, the equation from part A

y = x^2 - 2x - 7

To rearrange the equation, we have the following

y = x^2 - 2x - 7

Set to 0

So, we have

x^2 - 2x - 7 = 0

This gives

x^2 - 2x = 7

Take the coefficient of x; divide it by 2 and then add the squared quotient to both sides

So, we have

x^2 - 2x + 1 = 7 + 1

Factorize

(x - 1)^2 = 8

So, we have

(x - 1)^2 - 8 = 0

Replace 0 with y

y = (x - 1)^2 - 8

Hence, the equation is y = (x - 1)^2 - 8

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Answer:

150 students

Step-by-step explanation:

1300 - 700 = 600

600 x .25 = 150  (25% = 0.25)

Таким образом, (X-2)(3x-1) = 0 можно переписать в виде двух уравнений:

X-2=0 или 3x-1=0

Решение для

X=2

Solving for x in the second equation, we get:

3x=1

x=1/3

Therefore, the possible values of X are X=2 and x=1/3.

Answer:

Step-by-step explanation:

To find the expected value E(X) for the given density function, we use the formula:

E(X) = ∫ x f(x) dx

where the integral is taken over the range of possible values of X.

In this case, we have:

f(x) = 0.04e^(-0.04x) (for x >= 0)

So, we can evaluate the integral as follows:

E(X) = ∫ x f(x) dx

= ∫ 0^∞ x (0.04e^(-0.04x)) dx

= [-x e^(-0.04x)/25]∣∣∣0^∞ (using integration by parts)

= 25

Therefore, the expected value of X is 25.

To find the variance Var(X), we use the formula:

Var(X) = E(X^2) - [E(X)]^2

where E(X) is the expected value of X, and E(X^2) is the expected value of X^2.

To find E(X^2), we use the formula:

E(X^2) = ∫ x^2 f(x) dx

So, we have:

E(X^2) = ∫ 0^∞ x^2 (0.04e^(-0.04x)) dx

= [-x^2 e^(-0.04x)/10 - 5/2 x e^(-0.04x)/5]∣∣∣0^∞ (using integration by parts)

= 625

Therefore, Var(X) is given by:

Var(X) = E(X^2) - [E(X)]^2

= 625 - 25^2

= 0

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Answer:

0

Step-by-step explanation:

As x aproaches a, (x-a) will aproach 0, so the numerator will aproach 0, and because 0 divided by anything=0, the whole function will become 0. So, the answer is 0.

Answer:

33

Step-by-step explanation:

Convert the percentage to a decimal.

55 ÷ 100 = 0.55

Multiply 60 by 0.55

60 × 0.55 = 33

Answer:

33

Step-by-step explanation:

55 x 60 divided by 100

= 33

Answer:

Base = 4.62m,   Height = 6.93m

Step-by-step explanation:

I worked through the black first, then went to the blue.

Step-by-step explanation:

RS bisects PQ at T. PQ bisects RS at T.

prove: Triangle PTS congruent Triangle QTR

(1) RS bisects PQ at T.................(1) Given

(2) PQ bisects RS at T.................(2) Given

(3) angle PST ≅ angle QRT........(3) supplements of congruent angles

(4) TS ≅ TR......................(4) Converse of Base Angles Theorem

(5) angle PTS ≅ angle QTR.........(5) Subtraction Property of Equality

(6) Triangle PTS ≅ Triangle QTR...(6) Angle side angle

Hope it's help you..... ^_^❤️

Answer:

8\(\pi\) miles or 25.133 miles

Step-by-step explanation:

your radius is 4 miles.

The area of a circle is A= \(\pi r^{2}\)

Therefore, the area of this circle is \(4^{2} \pi\), or 16\(\pi\)

Half of this area, because what you're looking for is a semi-circle, is:

8\(\pi\) (exact) or 25.133 (rounded) miles.

Answer:

1.25 oz

Step-by-step explanation:

Since 1 / 0.80= 1.25

Pedro's earnings can be calculated using the given expression:

-126 + (-26) x 12

To simplify the expression, we need to perform the multiplication first, following the order of operations, which gives:

-126 + (-312) = -438

Therefore, Pedro's earnings would be -438 units, which could represent any currency or unit of measurement specified in the problem. The negative value indicates that Pedro owes money, as his earnings are less than zero.

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Answer:

linear, 825 meters

Step-by-step explanation:

The cost of one arepa is $3.75, and the cost of one buñuela is $1.50.

Let's assume the cost of one arepa is A dollars and the cost of one buñuela is B dollars.

From the given information, we can set up the following system of equations based on the orders and prices:

Equation 1: A + 2B = 6.75 (Pepa's order)

Equation 2: 2A + B = 9.00 (Félix's order)

To solve this system of equations, we can use either substitution or elimination method. Let's use the elimination method:

Multiply Equation 1 by 2:

2A + 4B = 13.50

Now subtract Equation 2 from the above equation:

(2A + 4B) - (2A + B) = 13.50 - 9.00

Simplifying:

2A + 4B - 2A - B = 4.50

3B = 4.50

Divide both sides by 3:

B = 1.50

Now, substitute the value of B into Equation 1 or Equation 2 to find the value of A.

Let's use Equation 1:

A + 2(1.50) = 6.75

A + 3 = 6.75

A = 6.75 - 3

A = 3.75

Therefore, the cost of one arepa is $3.75, and the cost of one buñuela is $1.50.

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(L3) If there is no indication of congruent or equal segments, you are dealing with a(n) orthocenter .

The altitude is a piece of a perpendicular line that connects the triangle's vertex to either its opposite side or an extension of that side.The orthocenter is located inside the triangle if the triangle is acute, on the vertex that is farthest from the base if the triangle is obtuse, and on the base if the triangle is right-angled. The orthocenter is an important point in the study of triangles, as it has a variety of properties that are useful in problem-solving, such as its relationship with the circumcenter and centroid of a triangle.

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The value of given double integral ∬(D) 2xy dA is 7/12.

Given, double integral ∬(D) 2xy dA, where D is the triangular region with vertices (0,0), (1,2), and (0,3).

To evaluate the given integral, we divide the region D into two parts: D1 and D2.

For D1:

The region D1 is a right triangle with vertices (0,0), (1,2), and (0,2). The limits of integration are: 0 ≤ x ≤ 1 and 0 ≤ y ≤ 2x.

Therefore, ∬(D1) 2xy dA can be calculated as:

∫(0)¹ ∫(0)²ˣ 2xy dy dx = ∫(0)¹ x³ dx = 1/4

For D2:

We can transform the region D2 by using the variables u = x and v = y - 2x. The inverse transformation is x = u and y = u + v/2.

The equation of the line passing through the vertices (0,2), (1,2), and (0,3) can be expressed as y = x + 2. Substituting the transformations, we get v = u.

The limits of integration for D2 are: 0 ≤ u ≤ 1 and 0 ≤ v ≤ 3 - 2u.

Therefore, ∬(D2) 2xy dA can be calculated as:

∫(0)¹ ∫(0)\(^3^-^2^u\) 2u\(^(^u^+^v^/^2^)\) dv du = ∫(0)¹ [2u\(^2^v^/^2\) + u\(^2^v^/^2\) + v\(^2^u^/^4\)]_0\(^3^-^2^u\) du = ∫(0)¹ [(3u³)/2 - (5u²)/4 + (3u)/8] du = 19/24

Therefore, ∬(D) 2xy dA = 1/4 + 19/24 = 7/12.

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Answer:

yes it does, -6x2= -18

Step-by-step explanation:

The car traveled a distance of 30.25 meters while braking.

When a car is brought to a full stop from an initial velocity of 22 m/s with an acceleration of -8 m/s^2, we can use the laws of motion to determine the distance traveled by the car while braking.

The relevant equation to use in this case is:

\(v^2 = u^2 + 2as\)

where v is the final velocity (which is 0, since the car comes to a full stop), u is the initial velocity (which is 22 m/s), a is the acceleration (which is \(-8 m/s^2\), since the car is decelerating), and s is the distance traveled while braking.

Substituting the given values into the equation, we get:

\(0^2 = (22 m/s)^2 + 2(-8 m/s^2)s\)

Simplifying this equation, we get:

\(0 = 484 m^2/s^2 - 16s\)

\(16s = 484 m^2/s^2\)

\(s = (484 m^2/s^2) / 16s = 30.25 m\)

Therefore, the car traveled a distance of 30.25 meters while braking.

This calculation shows that the distance traveled by the car while braking depends on the initial velocity of the car and the rate at which it decelerates. In this case, the car was traveling at a high initial velocity of 22 m/s and decelerated at a rate of -8 m/s^2, which resulted in a braking distance of 30.25 meters. If the initial velocity or the deceleration rate were different, the braking distance would also be different.

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Answer:

copy the first fraction, turn the division sign to a multiplication sign and flip the second fraction

Step-by-step explanation:

ex: 2/5 divided by 1/4

turn it to- 2/5 x 4/1

Answer:

Step-by-step explanation:

find reciprocal of second fraction then multiply the fraction after you find the reciprocal

Answer:  a

Step-by-step explanation:   ias chinadu kumar khab