What is the y-value of the solution to the system of equations below?
5x + 7y = -19
4x + 3y = - 10
A. - 2
B. - 1
O C. There is no solution
D. There are infinite solutions

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:

hggffffxdfffdsddfdohgfffdedss

88 cm is the circumference of a circle with a diameter of 28 cm.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The circumference of a circle with a diameter of 28 cm.

Radius = 28/2

Radius is 14 cm.

Circumference=2πr

=2×3.14×14

=87.92=88 cm

Hence, 88 cm is the circumference of a circle with a diameter of 28 cm.

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Answer:

do u mean decimal to a fraction

Answer:

0.875

Step-by-step explanation:

7/8 in a decimal form is 0.875

Answer:

D. The probability of selecting an orange is ³/₅.

Step-by-step explanation:

A is incorrect because there would be 4 apples combined (3 from bag one, 1 from bag two). That makes the chance of selecting an apple 2/5 (40%), not 3/10 (30%).

B & C are incorrect because 4/10 (40%) is less than 6/10 (60%)

That leaves D, which state that you have a 60% (3/5) chance selecting an orange, as our answer. That is correct as 3/5 = 6/10 = 60%.

Answer: Segment PQ is a median

Step-by-step explanation:

A median is a segment whose endpoints are the vertex of a triangle and the midpoint of the opposite side. This means segment PQ has to be a median for it meets the criteria of a median.

The segment PQ is a median.

A median is a segment whose endpoints are the vertex of a triangle and the midpoint of the opposite side.

The median is the middle number in a sorted, ascending, or descending list of numbers and can be more descriptive of that data set than the average.

This means segment PQ has to be a median for it meets the criteria of a median.

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Answer: $55

Step-by-step explanation:

You have Bella’s parents and her grandmother going to the game= 3 non student tickets at $16 per ticket. 16x3=$48 for tickets and 1 car parked = $7. $48 + $7= $55

The standard deviation of x for scores on the Critical Reading part of the test is approximately 18.26.

To find the standard deviation of x for scores on the Critical Reading part of the test, we can use the formula:

\(σ(x) = σ / √n\)

where σ is the population standard deviation and n is the sample size.

Plugging in the values given in the question:

\(σ(x) = 100 / √30\)

≈ 18.26

Therefore, the standard deviation of x for scores on the Critical Reading part of the test is approximately 18.26.

(b) Using the same formula, we can find the standard deviation of x for scores on the Mathematics part of the test:

\(σ(x) = 100 / √60\)

≈ 12.91

So, the standard deviation of x for scores on the Mathematics part of the test is approximately 12.91.

(c) Again, using the same formula, we can find the standard deviation of x for scores on the Writing part of the test:

\(σ(x) = 100 / √90\)

≈ 10.58

Hence, the standard deviation of x for scores on the Writing part of the test is approximately 10.58.

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Answer:

You need 21 ounces of cheese for 3 pizzas.

Step-by-step explanation:

If you use 14oz for 2 pizzas, then if you divide it by 2, you have 7oz for 1 pizza.

Now multiply by 3 to get 21oz for 3 pizzas.

The correct answer for the partial derivatives of the function f(x, y) = cos(2x²y³) are fy = -4xy³ sin(2x²y³) and fx = -6x²y² sin(2x²y³).

To find the partial derivatives of f(x, y) = cos(2x²y³), we differentiate the function with respect to each variable separately while treating the other variable as a constant.

Taking the partial derivative with respect to y, we apply the chain rule. The derivative of cos(u) with respect to u is -sin(u), and the derivative of the exponent 2x²y³ with respect to y is 6x²y². Therefore, fy = -4xy³ sin(2x²y³).

Next, we find the partial derivative with respect to x. Again, applying the chain rule, the derivative of cos(u) with respect to u is -sin(u), and the derivative of the exponent 2x²y³ with respect to x is 4x³y³. Hence, fx = -6x²y² sin(2x²y³).

Therefore, the correct answer is fy = -4xy³ sin(2x²y³) and fx = -6x²y² sin(2x²y³).

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Answer:

y= 3x+ 1

Step-by-step explanation:

-3x   +   2y =2

+3x            +3x

---------------------

2y = 3x +2

-----   --------

2           2

y = 3x + 1

Answer:

around 45 minutes

Step-by-step explanation:

it takes about 15 minutes to do 1 mile, do the correct math, it'll take about 45 minutes to do 3 miles

Answer:

The goal post is 40.05 feet tall.

Step-by-step explanation:First, you need to decide whether to use sin, tan or cos.

You have the angle, the adjacent and need the opposite , so you need to find out which one has all three values in

Sin  

Cos  

Tan  

So you need to use tan.

Tan = opposite / adjacent, so rearrange the formula to make opposite the subject:

\(Opp = Tan * adj

So simply plug these values in:

\(Opp =131 * tan(17) = 40.05

So the goal post is 40.05 feet tall

Answer:

5x + 6y = 12

Step-by-step explanation:

The standard form of a linear equation is  Ax + By = C.

Multiply both sides by  6

6y = 6(-5x/6 + 2)

Simplify the right side

Simplify  

6(−5x/6+2)

Apply the distributive property =  a  ( b + c )  = ab + ac

6y = 6( −5x/6) + 6 ⋅ 2

Cancel the common factor of  6

Move the leading negative in  −5x/6 into the numerator

6y = 6 −5x/6 + 6 ⋅ 2

Cancel the common factor 6

Rewrite the expression

6y  = −5x + 6 ⋅ 2

Multiply  6  by 2

6y = -5x + 12

Move all terms containing variables to the left side of the equation

Add  5x to both sides of the equation.

6y + 5x = 12

Reorder 6y and 5x

5x + 6y = 12

For the space curve r(t) = <t, 3θ, 2t²>, we can find the tangent vector T, normal vector N, and binormal vector B at any point on the curve.

To find the tangent vector T, we take the derivative of r(t) with respect to t:

r'(t) = <1, 3, 4t>.

The tangent vector T is obtained by normalizing r'(t) (dividing it by its magnitude):

T = r'(t) / ||r'(t)||,

where ||r'(t)|| represents the magnitude of r'(t).

To find the normal vector N, we take the derivative of T with respect to t:

N = (dT/dt) / ||dT/dt||.

Finally, the binormal vector B is given by the cross product of T and N:

B = T x N.

These vectors T, N, and B provide information about the direction and orientation of the curve at any given point. By calculating these vectors for the space curve r(t) = <t, 3θ, 2t²>, we can determine how the curve changes as t varies.

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Answer:

192

Step-by-step explanation:

48 x 4 = 192

Social search is not a practice that degrades the results and usefulness of search engines. therefore, option A) Social search is correct.

In fact, social search can enhance the user's experience by incorporating recommendations and results from social networks into their search results.

On the other hand, link farms, content farms, and click fraud are all practices that can degrade the results and usefulness of search engines.Link farms are websites that exist solely for the purpose of creating links to other websites, often in an attempt to artificially increase their search engine ranking.

Content farms are websites that produce low-quality content in large quantities, often with the goal of generating ad revenue. Click fraud involves intentionally clicking on pay-per-click ads in order to drive up costs for the advertiser.

All of these practices can have a negative impact on the quality of search engine results.

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Answer:

i belive so

Step-by-step explanation:

because you know and x is 2 so i say yes

Answer:

It will attract and move towards each other

Answer: The balloon will be attracted to the cloth i hope this helps :D

Step-by-step explanation:

Answer:

53/100

Step-by-step explanation:

Answer: 4 ) 5/9

Step-by-step explanation:

Answer: Y2-Y1 over X2-X1 which gives you 7/-11

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

4   is  to 12    as    x is to 18

4/12 = x/18

4/12  * 18 = x = 6

The statement that is false with respect to the diagram given where angle FEA is stated to be supplementary to angle HGD, is:

A. measure of angle FEB + measure of angle HGD = 180°

By definition, supplementary angles are two angles that have a sum of 180 degrees when added together, that is, one is a supplement of the other.

Given the image below, we know the following:

Since angle FEA is supplementary to angle FEA would be congruent to angle HGC, and angle HGD is congruent to angle FEB. This is because, the supplement of angle

angle FEA + angle FEB - angle FEA + angle HGD = 180° - 180°. Therefore,

angle FEB = angle HGD.

In summary, from the options given, the statement that is false with respect to the diagram given where angle FEA is stated to be supplementary to angle HGD, is:

A. measure of angle FEB + measure of angle HGD = 180°

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Step-by-step explanation:

the sum of all angles in a triangle is always 180°.

the triangle here has 2 known angles : 56° and 90°.

so, the third angle must be

180 - 56 - 90 = 34°

x is now the supplementary angle to this third inner angle of the triangle.

that means together they have 180°.

simply because the sum of all angles around a single point on one side of a line is always 180° (as this simulates a half-circle with the center at this point).

so,

34 + x = 180

x = 180 - 34 = 146°

Answer:

You have to draw a graph.

Step-by-step explanation:

Multiply all of your sides together to figure out the area then plot the points.

The value of an investment with $1000 as principal amount compounding annually for 3 years with interest rate 7.5% is $1242.29

The interest rate is the amount that the lender charges the borrower and is the principal - a percentage of the loan amount. Loan interest rates are usually quoted on an annual basis known as the annual rate (APR). 

Solution according to the given information in the question:

Given, Principal = $1000

           Time = 3 years

           Interest rate = 7.5%

∴ Amount = P×(1 + r/100)³

                 = 1000×(1 + 7.5/100)³

                 = 1000×(1 + 0.075)³

                 = 1000×(1.075)³

                 = 1000 × 1.24

Amount   = $1242.29

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The solutions to the equation x minus StartFraction 7 Over x EndFraction is equal to 6 is -1 and 7

Any equation of the form \(\rm ax^2+bx+c=0\) Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

We have equation:

\(\rm x-\dfrac{7}{x}=6\)

After simplifying:

\(\rm x^2 -7 = 6x\\\\x^2-6x-7=0\)

\(\rm x^2 +x-7x-7=0\)

(x + 1)(x - 7) = 0

x = -1 or x = 7

Thus, the solutions to the equation x minus StartFraction 7 Over x EndFraction is equal to 6 is -1 and 7

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Answer:

C) x= -1 and x=7

Step-by-step explanation:

Answer:

-12x-9

Step-by-step explanation:

3 times -4x is -12x

3 times -3 is -9

In an equation the answer is:

-12x-9

Answer:

Isaiah will have a final amount of $1659.17.

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Compounded Interest Rate Formula:
\(\displaystyle A = P \bigg( 1 + \frac{r}{n} \bigg) ^{nt}\)

Step-by-step explanation:

Step 1: Define

Identify given variables.

P = $1300

r = 0.05

n = 1

t = 5

Step 2: Find Gain

∴ Isaiah would make approximately $359.18 and have a final amount of $1659.17.

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Topic: Algebra I