Six times a number x and was added to 90 and the result is -42. What is the number​

The curl of F is:  (16z^3) i - 5j + (5 + 20y^3) k.

The curl of a vector field F = P i + Q j + R k is given by the following formula:

curl F = (∂R/∂y - ∂Q/∂z) i + (∂P/∂z - ∂R/∂x) j + (∂Q/∂x - ∂P/∂y) k

Using this formula, we can find the curl of the given vector field F:

P = 4x + 4z^4

Q = 4y + 5z + 5 sin(y^4)

R = 4x + 5y + 4e^(z4)

∂P/∂y = 0

∂Q/∂z = 5 + 20y^3

∂R/∂x = 4

∂P/∂z = 16z^3

∂R/∂y = 5

∂Q/∂x = 0

Therefore,

curl F = (16z^3) i + (-5) j + (5 + 20y^3) k

Hence, the curl of F is (16z^3) i - 5j + (5 + 20y^3) k.

To learn more about curl of a vector field visit : https://brainly.com/question/7890697

#SPJ11

The Hedging Table for the grain merchant including the basis, the net gain or loss in the spot and futures markets, and the net hedged selling price is attached.

To prepare the Hedging Table for the grain merchant, we need to calculate the basis, net gain or loss in the spot and futures markets, and the net hedged selling price for each transaction date.

Transaction Date: 15th October

- Purchase of 10,000 bushels of wheat at $12.50 per bushel.

- Sale of a 15th January wheat futures contract at $12.90 per bushel.

Basis = Spot Price - Futures Price

Basis = $12.50 - $12.90

Basis = -$0.40

Net Gain/Loss in Spot Market = (Spot Selling Price - Spot Purchase Price) * Quantity

Net Gain/Loss in Spot Market = ($12.40 - $12.50) * 10,000

Net Gain/Loss in Spot Market = -$1,000

Net Gain/Loss in Futures Market = (Futures Purchase Price - Futures Selling Price) * Quantity

Net Gain/Loss in Futures Market = ($12.90 - $12.50) * 10,000

Net Gain/Loss in Futures Market = $4,000

Net Hedged Selling Price = Spot Selling Price + Basis

Net Hedged Selling Price = $12.40 + (-$0.40)

Net Hedged Selling Price = $12.00

Transaction Date: 15th December

- Sale of 10,000 bushels of wheat in the physical market at $12.40 per bushel.

- Purchase of a 15th January futures contract at $12.50 per bushel.

Basis = Spot Price - Futures Price

Basis = $12.40 - $12.50

Basis = -$0.10

Net Gain/Loss in Spot Market = (Spot Selling Price - Spot Purchase Price) * Quantity

Net Gain/Loss in Spot Market = ($12.40 - $12.50) * 10,000

Net Gain/Loss in Spot Market = -$1,000

Net Gain/Loss in Futures Market = (Futures Purchase Price - Futures Selling Price) * Quantity

Net Gain/Loss in Futures Market = ($12.50 - $12.50) * 10,000

Net Gain/Loss in Futures Market = $0

Net Hedged Selling Price = Spot Selling Price + Basis

Net Hedged Selling Price = $12.40 + (-$0.10)

Net Hedged Selling Price = $12.30

The completed Hedging Table for the grain merchant is as follows:

Please note that the calculations assume that the quantity of bushels remains constant throughout the transactions.

Learn more about gain here: https://brainly.com/question/23826924

#SPJ11

Answer:

41.5675675676km/hour or 41.57km/hour

Step-by-step explanation:

158÷3.7=41.5675675676  or 41.57

Answer:

The appropriate equation for the above mentioned conditon would be

x+y=7

225x+70y=1110

Step-by-step explanation:

As mentioned in the question the meals contain just two delicacies (i.e. sliders and chicken wings)

Let the number of Sliders be represented by “x”

Let Number of Chicken wings be represented as “y”

As given in the question the total number of sliders and chicken wings equals 7

Hence  x + y =7… Equation 1  

Further, it is mentioned that each slider carries worth 225 calories of energy and chicken wing carries 70 calories of energy. Total calorie of a meal which contains sliders and wings is 1110 calories.

Thus, Total energy carried by sliders individually = total sliders* energy carried by one slider= 225x

Similarly, Total energy carried by wings individually = total chicken wings* energy carried by one wing= 70y

Thus 225x+70y=1110

The total area of the shape is equal to 102 cm².

Mathematically, the area of a rectangle can be calculated by using this formula:

A = LW

Where:

Next, we would determine the area of this irregular shape in parts as follows;

Area of rectangle 1 = 15 × 6

Area of rectangle 1 = 90 cm²

Area of rectangle 2 = 4 × 3

Area of rectangle 2 = 12 cm²

Total area of irregular shape = 90 + 12

Total area of irregular shape = 102 cm²

Read more on area of a rectangle here: https://brainly.com/question/28666070

#SPJ1

Answer:

a = 8.5  

Step-by-step explanation:

Answer: 114 red marbles

Step-by-step explanation:

We know that for every 20 marbles, there are 19 red and 1 black marble.

So to get from 20 to 120, we multiply by 6. So we take 19 times 6 = 114 red marbles and 6 black marbles,

Therefore, The Coordinates of the THIRD VERTEX is:  ( 5, -3 )

        Calculate the midpoint of the given vertices:

        MidPoint = ( -5 + 5/2,  3 + 3/2 )

        MidPoint = ( 0, 3 )

        Distance = √( -5 -5 )^2 + ( 3 - 3 )^2

        Distance = √( -10 )^2  +  (0)^2

        Distance = √100

        Distance =  10

        Side Length =  10/√3

        Side Length = 10/1.7

        Side Length = 5.88

        Height = √3/2  *  Side Length

        Height  = 1.7/2  *  5.88

        Height  =  5

Since the origin lies inside the triangle, The Third Vertex will have a Positive  X-Coordinate and a Negative Y-Coordinate.

       ( x, y )

        x  =  -5 + x/2

        y   =  3 + y/2

       x  =  5

       y  = -3

        Hence, The Coordinate  of the Third Vertex is:  ( 5, -3 )

I hope this helps!

Answer:

9 quarts

Step-by-step explanation:

IReady 2021

Sorry if I am wrong

Quarts of blue paint jade needs to add in order to get the same shade is 9

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or \(\dfrac{a}{b}\)

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

\(a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3\)

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Given;

The ration in directions=3:4

Here, jade has added 12 quarts of white paint

12/4=3

So, to find the quarts of paint to be added in same ratio

3x3=9

Therefore, the answer according to the given ratio will be 9 quarts

Learn more about ratio here:

brainly.com/question/186659

#SPJ2

The explicit formula for the population growth is P(t) = 9 * (1 + 0.08)^t, where P(t) represents the population at time t, P0 is the initial population of 9, r is the growth rate of 8% or 0.08, and t is the time in years. Using this formula, we can calculate the population after 9 years which is approximately 16.03

To find the explicit formula for the population growth, we use the exponential growth model formula P(t) = P0 * (1 + r)^t. In this case, P0 is given as 9, and the growth rate r is 8%, or 0.08 when expressed as a decimal. Plugging these values into the formula, we get P(t) = 9 * (1 + 0.08)^t.

To evaluate the population after 9 years, we substitute t = 9 into the formula and calculate: P(9) = 9 * (1 + 0.08)^9. Using a calculator or performing the calculation manually, the population after 9 years is approximately 16.03 (rounded to two decimal places).

Therefore, the population after 9 years, based on the exponential growth model with an initial population of 9 and a growth rate of 8%, is approximately 16.03

To learn more about population growth, click here: brainly.com/question/29885709

#SPJ11

Answer:

B Description is in the picture

Answer:

\(2^2*3^2\)

Step-by-step explanation:

By definition of a negative exponent: \((\frac{a}{b})^{-x}=(\frac{b}{a})^x=\frac{b^x}{a^x}\)

In the last step I simply distributed the exponent, but this actually goes both ways! So we can do: \(\frac{b^x}{a^x}\implies(\frac{b}{a})^x\)

The next thing you need to know is that: \((ab)^x=a^x*b^x\)

and like the previous statement, it works both ways! So this means: \(a^x*b^x\implies (ab)^x\)

So the denominator of the expression given can be expressed as:

\((2^{-2}*3^{-2})\implies (2*3)^{-2}\)

Lastly you need to understand: \(1^x\) just simplifies to one, because \(1*1*1*1...\text{ x amount of times}\) will stay equal to one. So we can thing of 1 as being raised to some number, even if not explicitly stated.

This helps because we can write one as: \(1^{-2}\)

so now we have the expression:
\(\frac{1^{-2}}{(3*2)^{-2}}\)

Well this can because now we can "factor" out this exponent just like how it was demonstrated in the beginning

We get the expression: \((\frac{1}{3*2})^{-2}\)

Now we use the definition of a negative exponent, to get the reciprocal giving us the expression

\((\frac{3*2}{1})^{2}\)

We can now "distribute" this exponent across the division to get

\(\frac{(3*2)^2}{1^2}\)

Well 1 squared just simplifies to 1, so it's redundant to write.

This gives us the expression:
\((3*2)^2\)

and as stated before we can distribute this across multiplication, and another way to think of it is:

\((3*2)^2\implies (3^2*2^2)\\\\\\text{because } (3*2)^2\implies (3*2)*(3*2)\implies(3*3)*(2*2)\)

we're just grouping the like terms, so we can write them as an exponent.

So this gives us our final expression:
\(3^2*2^2\)

or

\(2^2*3^2\)

which is the option B, since the order in which we multiply does not matter.

Answer:

z = -1.8, y = 10.2

Step-by-step explanation:

- 2z -2y = -24 (EQ 1)

3z - 2y = -33 (EQ 2)

Change one of the equations to it's opposite (Turning a negative number to a positive/or the other way around)

Let's target the equation that can leave us with the simplest question to solve

-2z + -2y = -24

-3z + 2y = 33

-5z = 9

(Dividing and switching the negative sign over)

z = -1.8

Plug in Z to solve for y.

-2(-1.8) - 2y = -24

3.6 - 2y = -24

-2y = -20.4

y = 10.4

\(\\ \rm\Rrightarrow |1/3(2^3-10^2/5)|=|1/3(8-20)|=|1/3(-12)|=4\)

\(\\ \rm\Rrightarrow |-(1/6)^3|=(1/6)^3=1/216\)

\(\\ \rm\Rrightarrow |6^3-7^3|=|216-343|=127\)

\(\\ \rm\Rrightarrow |9^2+(-9)^3|=|81-729|=648\)

Answer:

8)  1/216

13)  127

14)  648

15)  4

Step-by-step explanation:

\(\large \begin{aligned}\displaystyle \left|-\left(\frac{1}{6}\right)^3\right| & = \left|-\left(\frac{1^3}{6^3}\right)\right|\\\\& = \left|-\frac{1}{216}\right|\\\\& = \frac{1}{216}\end{aligned}\)

\(\large \begin{aligned}\displaystyle \left|6^3-7^3\right| & = \left|216-343\\ & = \left|-127\right|\\ & = 127\end{aligned}\)

\(\large \begin{aligned}\displaystyle \left|9^2+(-9)^3\right| & = \left|81+(-729)\right|\\& = \left|81-729\right|\\& = \left|-648\right|\\& = 648\end{aligned}\)

\(\large \begin{aligned}\displaystyle \left|\frac{1}{3}\left(2^3-\frac{10^2}{5}\right)\right| & = \left|\frac{1}{3}\left(8-\frac{100}{5}\right)\right|\\\\& = \left|\frac{1}{3}\left(8-20\right)\right|\\\\& = \left|\frac{1}{3}\left(-12\right)\right|\\\\& = \left|\frac{-12}{3}\right|\\\\& = \left|-4\right|\\\\& = 4\\\end{aligned}\)

Answer:

  C, E

Step-by-step explanation:

Here, we want to change the equation of a circle from general form to standard form. This is done by making the leading coefficients 1, completing the squares, and then rewriting the equation in standard form.

The leading coefficients of the given equation are 2, so we first want to divide by 2. This gives ...

  x² +y² -4x -6y +8 = 0

Subtracting 8 puts us in better position to complete the squares.

  x² +y² -4x -6y = -8

Now, we can add the squares of half the coefficients of the linear terms.

  (x² -4x +4) +(y² -6x +9) = -8 +13 . . . . . . matches C

And we can simplify this to the standard form equation:

  (x -2)² +(y -3)² = 5 . . . . . matches E

Answer:

43

Step-by-step explanation:

Substitute x = 3 into the expression, that is

5(3)² - 2 = 5(9) - 2 = 45 - 2 = 43

Answer:

0.4589

Step-by-step explanation:

We solve using z score formula

The z score formula for a random number of samples is:

z = (x-μ)/σ/√n, where x is the raw score, μ is the population mean, and σ is the population standard deviation

Hence:

z = 246.7 - 245.3/96/√50

z = 0.10312

Probability value from Z-Table:

P(x<246.7) = 0.54107

P(x>246.7) = 1 - P(x<246.7) = 0.45893

Approximately to 4 decimal places = 0.4589

The probability that a single randomly selected value is greater than 246.7 is 0.4589

Answer:

q1 3 x ^2 − 5 x + 10

q2 1 − y^ 4

q3 exact form: x = − 5 /6

decimal form : 0.83r

q4 1 /2 z^ 2 + 1

Step-by-step explanation:

hope it correct please mark as brainliest if correct

thank you

the inverse Laplace transform of ℒ⁻¹(2s + 3/s² + 2s + 2) is f(t) = 2e^(-t) + 3cos(t) + 3sin(t), in its simplest form.

To find the inverse Laplace transform, we first need to decompose the expression into partial fractions. The denominator s² + 2s + 2 can be factored as (s + 1 + i)(s + 1 - i), where i is the imaginary unit. Therefore, we can write:

2s + 3/s² + 2s + 2 = A/(s + 1 + i) + B/(s + 1 - i)

Next, we need to find the values of A and B. Multiplying both sides by the denominator, we get:

2s + 3 = A(s + 1 - i) + B(s + 1 + i)

Expanding and collecting like terms, we have:

2s + 3 = (A + B)s + (A + B) + (Ai - Bi)

Comparing the coefficients of s and the constants, we get:

A + B = 2 ...(1)

A - B = 3 ...(2)

Ai - Bi = 0 ...(3)

Solving equations (1) and (2) simultaneously, we find A = 2 and B = 0.

Now, using the inverse Laplace transform pairs, we can write the inverse Laplace transform as:

ℒ⁻¹(2s + 3/s² + 2s + 2) = ℒ⁻¹(2/(s + 1 + i)) + ℒ⁻¹(0/(s + 1 - i))

Applying the inverse Laplace transform to each term, we get:

f(t) = 2e^(-t) + 3cos(t) + 3sin(t)

Therefore, the inverse Laplace transform of ℒ⁻¹(2s + 3/s² + 2s + 2) is f(t) = 2e^(-t) + 3cos(t) + 3sin(t), in its simplest form.

Learn more about Laplace transform here:

https://brainly.com/question/30759963

#SPJ11

The answer choice which could be the first step in solving the equation represented by the model is; Add 4 positive unit tiles to each side.

It follows from the task content that the first step in solving the equation represented by the model be identified.

Since the given model is;

3 x tiles and 4 negative 1 tiles = 2 x tiles and 5 positive 1 tiles;

The model can be represented algebraically as follows;

3x - 4 = 2x + 5

Hence, in a bid to solve the equation; the first step could be to add 4 to both sides of the equation so that we have;

3x - 4 + 4 = 2x + 5 + 4.

3x = 2x + 9.

Consequently, the choice which could be the first step to solving the equation represented by the model is; Add 4 positive unit tiles to each side.

Read more on solving Linear equations;

https://brainly.com/question/28871326

#SPJ1

Answer:

a

Step-by-step explanation:

In regression analysis, if the dependent variable is measured in dollars, the independent variable can be units.

To learn more about Dependent and Independent Variable, refer to:

https://brainly.com/question/3764906

#SPJ4

Answer:

28

Step-by-step explanation:

each question is worth 2 points and he missed 6,6 times 2 is 12.therefore you subtract 40 by 12 and get 28 :)

Answer:

y-12<-32

Step-by-step explanation:

just remember to underline the less than sign

The total amount that Noah paid for the cartridge is $30.35

A sales tax is one that applies to the purchase of goods and services for consumers and to the sale of goods and services for businesses.

Given that, Noah bought a computer cartridge for $28.50. Sales tax on the cartridge was 6.5%.

We need to find the total amount that Noah paid for the cartridge,

Total amount = sales tax + original cost

Total amount = 6.5% of 28.50 + 28.50

= 6.5 / 100 × 28.50 + 28.50

= 30.35

Hence, the total amount that Noah paid for the cartridge is $30.35

Learn more about sales tax, click;

https://brainly.com/question/29442509

#SPJ1

Answer:

Step-by-step explanation:

??

Answer:

Step-by-step explanation:

The answer is 20% to 50%

The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.

The condition for destructive interference at the first dark fringe can be found using the path difference between the two waves.

For the first dark fringe, the path difference between the two waves that pass through the edges of the slit must be half a wavelength:

Δx = λ/2

where Δx is the path difference and λ is the wavelength of the light.

The path difference Δx can be related to the width of the slit w and the angle θ that the diffracted wave makes with the central axis of the slit by:

Δx = w sin(θ)

Therefore, the condition for the first dark fringe can be expressed as:

w sin(θ) = λ/2

The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.

This means that if the width of the slit and the wavelength of the light are known, the angle θ at which the first dark fringe occurs can be calculated.

This condition arises due to the interference of the diffracted waves from the edges of the slit. When the path difference between these waves is equal to half a wavelength, the waves interfere destructively and produce a dark fringe.

The first dark fringe is observed at the angle θ for which the path difference between the waves passing through the edges of the slit is equal to λ/2.

Learn more about First dark fringe

brainly.com/question/29566620

#SPJ11

Using the center-of-gravity technique, the best site location for the new distribution center in Charlotte is determined to be at coordinates (X, Y) = (27.92, 19.08).

The center-of-gravity technique is used to find the optimal location for a facility based on the distribution of demand. In this case, we will calculate the weighted average of the coordinates (X, Y) of the three sites, with the weights being the number of weekly packages flowing to each site.

To calculate the X-coordinate of the center of gravity, we use the formula:

Xc = (X1 * W1 + X2 * W2 + X3 * W3) / (W1 + W2 + W3)

Similarly, for the Y-coordinate:

Yc = (Y1 * W1 + Y2 * W2 + Y3 * W3) / (W1 + W2 + W3)

Substituting the given values:

Xc = (16 * 26000 + 35 * 12000 + 40 * 10000) / (26000 + 12000 + 10000) ≈ 27.92

Yc = (28 * 26000 + 10 * 12000 + 18 * 10000) / (26000 + 12000 + 10000) ≈ 19.08

Therefore, the best site location for the new distribution center in Charlotte is approximately at coordinates (X, Y) = (27.92, 19.08) based on the center-of-gravity technique.

Learn more about coordinates here:

https://brainly.com/question/22261383

#SPJ11