evaluate the scalar line integral ∫ c (3x y) ds, where c is the line segment from (−1,3) to (4,2).

Answer:

no....... sadly i nerver figured it out... but im pretty sure the ansewr to the univers is 42

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

Divide both sides by the same factor then simplify

Answer:

m=2.5

Step-by-step explanation:

10m=25

m=25/10

m=5/2

m=2.5

Answer:

Not all the means are equal.

Step-by-step explanation:

In an ANOVA table, a sum of squares for the independent variable divided by its respective degrees of freedom.

So if the omnibus null hypothesis is rejected it means that there is sufficient evidence to conclude that not all the means are equal.

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If the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.

ANOVA table gives us the total sum of squares ( TSS ), the residual sum of squares ( RSS ) and the estimated sum of squares ( ESS ).

It establishes the relation that:

ESS + RSS = TSS.

If we reject the omnibus null hypothesis, then it means that:

at least one of the population means is different from at least one other population mean.

Therefore, we get that, if the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.

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Answer:

A = $11093

Step-by-step explanation:

Given the following data;

Principal = $25,000

Rate = 15% = 15/100 = 0.15

Time, t = 5

To find the future value, we would use the compound interest formula;

\( A = P(1 + \frac{r}{n})^{nt}\)

Where;

Substituting into the equation, we have;

r = -0.15 because it's depreciating.

\( A = 25000(1 + \frac{-0.15}{1})^{1*5}\)

\( A = 25000(1 - 0.15)^{5}\)

\( A = 25000(0.85)^{5}\)

\( A = 25000*0.4437\)

A = 11092.63 ≈ $11093

Therefore, the future value, A after 5 years is $11093.

Answer:

11809

Step-by-step explanation:

Answer:I think it will be 3

Answer:

GCF = 3

Step-by-step explanation:

The greatest common factor is the highest number that all factors can be multiplied by, which in this case is 3.

3 x 5 = 15

3 x 3 = 9

Answer:

The probability that the next customer will pay with credit card is approximately 0.33

Step-by-step explanation:

The given parameters are;

The number of customers that paid cash = 80 customers

The number of customers that used a debit card = 7 customers

The number of customers that used a credit card = 42 customers

The total number of different payments made = 80 + 7 + 42 = 129 payment

Probability = The number of desired outcome/(The number of possible outcome)

The probability that the next customer will pay with credit card = (The number of customers that used a credit card)/(The total number of different payments made)

∴ The probability that the next customer will pay with credit card = 42/129 ≈ 0.33 to the nearest hundredth.

Answer:

Intercept Form.

You can directly solve for x by setting them to zero to which X= 3, X= -2

x-3 = 0  x+2 =0

x= 3  x= -2

Answer:

Step-by-step explanation:

\((-2)*\dfrac{1}{5}*(-5\dfrac{3}{4})=(-2)*\dfrac{1}{5}*\dfrac{-23}{4}\\\\ = \dfrac{23}{5*2}\\\\=\dfrac{23}{10}\\\\=2\dfrac{3}{10}\)

Answer: First number is 16, second number is 17.

Step-by-step explanation
16 + 17 = 33

16 x 7 = 112
17 x 5 = 85

112 + 85 = 197

The formula to calculate the volume of a rectangular prism is length × width × height.

To find the length of one side of the cube, we can use the formula for the surface area of a cube.

Step 1: Determine the number of faces on a cube.

A cube has six faces.

Step 2: Calculate the area of one face of the cube.

The total surface area of the cube is given as 150 cm². Since there are six faces, the area of one face can be found by dividing the total surface area by the number of faces:

Area of one face = Total surface area / Number of faces

Area of one face = 150 cm² / 6 = 25 cm²

Step 3: Calculate the length of one edge of the cube.

The area of one face of the cube is equal to the length of one edge squared. Therefore, we can find the length of one edge by taking the square root of the area of one face:

Length of one edge = √(Area of one face)

Length of one edge = √(25 cm²) = 5 cm

Thus, the length of one side of the cube is 5 cm.

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Answer:

Box 3 is 4 becuase if x equals 4 then its gets y=12

Box 1 is 12 to get box 2 which is 24 this is because 3*3=9 and 24+9=33

Step-by-step explanation:

Box 1: 12

Box 2: 24

Box 3: 4

Answer:

A) 210 B) 0.18

Step-by-step explanation:

got it right

Answer:

angle E is congruent to Angle F

Answer:

U = -1

Step-by-step explanation:

-6 - 1 = -7

U = -1

Hope this helps; have a great day!

The value of the triple integral ∭D zdV is q11.

The result of the plot of the portion of x^2 + z^2 = 9 above the xy-plane and between y = 1 and y = 5 is assigned to q12.

Calculating ∭D zdV:

To calculate the triple integral ∭D zdV over the solid D, we need to determine the limits of integration for each variable (x, y, and z) based on the given conditions.

The solid D is described by three conditions:

Inside the cone: z = V(x^2 + y^2)

Inside the sphere: x^2 + y^2 + z^2 ≤ 9

Above the plane: z ≥ 1

By considering these conditions, we can determine the limits of integration as follows:

For z: From 1 to V(x^2 + y^2) (since z is bounded above by the cone equation and below by the plane equation)

For y: From -√(9 - x^2) to √(9 - x^2) (since y is bounded by the sphere equation)

For x: From -3 to 3 (since x is bounded by the sphere equation)

Thus, the triple integral can be written as:

∭D zdV = ∫∫∫ D z dV = ∫(-3 to 3) ∫(-√(9 - x^2) to √(9 - x^2)) ∫(1 to V(x^2 + y^2)) z dz dy dx

Plotting the portion of x^2 + z^2 = 9 above the xy-plane and between y = 1 and y = 5:

To plot the given portion, we consider the equation x^2 + z^2 = 9, which represents a cylinder centered at the origin with a radius of 3.

The plot should be restricted to the region above the xy-plane, which means z > 0, and between y = 1 and y = 5.

Using the fsurf command, we can generate the plot of the portion described above.

The value of the triple integral ∭D zdV is assigned to q11, and the plot of the portion of x^2 + z^2 = 9 above the xy-plane and between y = 1 and y = 5 is assigned to q12.

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Answer: A. 90° clockwise, E. 270° counterclockwise

Answer:

$1556.25

Step-by-step explanation:

Answer:

a. True

Step-by-step explanation:

a. True

A cost that changes in total as output changes is indeed a variable cost. Variable costs are expenses that vary in direct proportion to the level of production or business activity. As output increases, variable costs increase, and as output decreases, variable costs decrease. Examples of variable costs include direct labor, raw materials, and sales commissions.

t = [ln(100) - ln(50)] * (3.397/r) is the time required.

To solve the given radioactive decay problem, we can use the differential equation that relates the rate of change of the quantity Q(t) to its decay rate r: dQ/dt = -rQ

We are given that 3.397 dQ/dt = -rQ. To make the equation more manageable, we can divide both sides by 3.397: dQ/dt = -(r/3.397)Q

Now, we can separate the variables and integrate both sides: 1/Q dQ = -(r/3.397) dt

Integrating both sides gives:

ln|Q| = -(r/3.397)t + C

Applying the initial condition where Q(0) = 100 mg, we find: ln|100| = C

C = ln(100)

Substituting this back into the equation, we have: ln|Q| = -(r/3.397)t + ln(100)

Next, we are given that Q(1) = 81.54 mg after 1 week. Substituting this into the equation: ln|81.54| = -(r/3.397)(1) + ln(100)

Simplifying the equation and solving for r: ln(81.54/100) = -r/3.397

r = -3.397 * ln(81.54/100)

To find the time required for the substance to decay to one-half its original amount (50 mg), we substitute Q = 50 into the equation: ln|50| = -(r/3.397)t + ln(100)

Simplifying and solving for t:

t = [ln(100) - ln(50)] * (3.397/r)

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Answer:

a) 75 points

b) -50 points

c) 20 points

d) -12 points

Step-by-step explanation:

a) The maximum number of points equals all the questions correct times 3 = 75.

b) The minimum number of point equals all the questions wrong times 2 = -50

c) 10 correct = 3*10 = 30 and 5 incorrect = 5*2 = 10; 30 - 10 = 20 points

d) 6 correct = 3*6 = 18 and 15 incorrect = 15*2 = 30; 18 - 30 = -12 points

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Answer:

Step-by-step explanation:

The mistake in the equation is in step 2 and the value of x = -6

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

( 1/3 ) ( x + 15 ) = 3   be equation (1)

Step 1 :

( 1/3 )x + 15 ( 1/3 ) = 3

On simplifying , we get

( 1/3 )x + 5 = 3

Step 2 : subtracting 5 on both sides , we get

( 1/3 )x = 3 - 5

( 1/3 )x = -2

Step 3 : multiply by 3 on both sides , we get

x = -6

Therefore , the mistake Diego made was when he multiplied (1/3) throughout the equation is step 2

Hence , the equation is x = -6

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a = 1, b = 6, c = -1

Using the quadratic formula:

Answer:

x1 = 0.3166

x2 = -6.3166

In ten years the town will have a population of  29,792

Future Population = Initial Population * (1 + Growth Rate) ^ Number of Years

In this case, the initial population is 3,200, the growth rate is 25% (0.25), and the number of years is 10.

Future Population = 3,200 * (1 + 0.25) ^ 10

Now, calculate the value inside the parentheses:

1 + 0.25 = 1.25

Now, raise this value to the power of 10:

\(1.25 ^ 1^0 \\=\\9.31\)

Finally, multiply the initial population by the result:

3,200 * 9.31

= 29,792

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However, with just these two components, we can get a sense of the general direction and magnitude of the fluid's movement.

A flow field can be defined as the way in which fluid moves through a given space. In this particular example, the flow field is defined by two components, u and v. The u component is given as (2x^2+1) m/s, where x is in meters. The v component is given as (xy) m/s, where both x and y are in meters. These components tell us how the fluid is moving in both the x and y directions. The u component increases as x increases, while the v component increases as both x and y increase. To fully understand the flow field, we would need to visualize how the fluid is moving in three-dimensional space.

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Initial size of the culture = 400 , Doubling period = (35 minutes - 10 minutes) / (1900 - 400) = 0.1437 minutes , Population after 60 minutes = 400 * (2^(60/0.1437)) = 10201 and Population will reach 11000 after approx. 74.51 minutes.

The initial size of the culture can be found by substituting t = 0 into the exponential growth formula:

P(t) = P0 * (2^(t/T))

where P(t) is the population at time t, P0 is the initial population, and T is the doubling period. Substituting t = 0, we get:

400 = P0 * (2^(0/T))

Therefore, P0 = 400.

The doubling period can be found by rearranging the exponential growth formula:

T = (t2 - t1) / (ln(P2) - ln(P1))

where t1 and t2 are the time points, and P1 and P2 are the populations at those time points. Substituting t1 = 10, t2 = 35, P1 = 400, and P2 = 1900, we get:

T = (35 - 10) / (ln(1900) - ln(400)) = 0.1437 minutes

The population after 60 minutes can be found by substituting t = 60 into the exponential growth formula:

P(60) = P0 * (2^(60/T))

Substituting P0 = 400 and T = 0.1437, we get:

P(60) = 400 * (2^(60/0.1437)) = 10201

Finally, the population will reach 11000 after approx. 74.51 minutes can be found by setting P(t) = 11000 in the exponential growth formula and solving for t:

11000 = 400 * (2^(t/0.1437))

t/0.1437 = ln(11000/400)

Therefore, t = 0.1437 * ln(11000/400) ≈ 74.51 minutes

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If z = xy⁷ − x²y, x = t² + 1, y = t² − 1, then using chain rule the value of dz/dt = 2t(y⁷ + xy⁶(dy/dx) - 2xy - x²(dy/dx)) + 2t(xy⁷ + 7xy⁶ - x²)

To find dz/dt using the chain rule, we need to differentiate z with respect to t while considering the relationship between z, x, y, and t.

Given:

z = xy⁷ − x²y

x = t² + 1

y = t² − 1

We can start by finding dz/dx and dz/dy separately and then use the chain rule to combine them to find dz/dt.

First, let's find dz/dx:

Differentiating z with respect to x, keeping y constant:

dz/dx = (d/dx)(xy⁷) - (d/dx)(x²y)

Using the product rule for differentiation:

dz/dx = y⁷ + xy⁶(dy/dx) - 2xy - x²(dy/dx)

Next, let's find dz/dy:

Differentiating z with respect to y, keeping x constant:

dz/dy = (d/dy)(xy⁷) - (d/dy)(x²y)

Using the product rule again:

dz/dy = x(y⁷ + 7y⁶(dy/dy)) - x²

Since dy/dy = 1, we can simplify dz/dy as:

dz/dy = xy⁷ + 7xy⁶ - x²

Now, let's use the chain rule to find dz/dt:

dz/dt = (dz/dx)(dx/dt) + (dz/dy)(dy/dt)

Substituting the expressions we found earlier for dz/dx and dz/dy, and using dx/dt = 2t and dy/dt = 2t:

dz/dt = (y⁷ + xy⁶(dy/dx) - 2xy - x²(dy/dx))(2t) + (xy⁷ + 7xy⁶ - x²)(2t)

Simplifying this expression gives us dz/dt in terms of t, x, and y:

dz/dt = 2t(y⁷ + xy⁶(dy/dx) - 2xy - x²(dy/dx)) + 2t(xy⁷ + 7xy⁶ - x²)

This is the complete calculation for finding dz/dt using the chain rule.

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Complete question is:

Use the chain rule to find dz/dt. z = xy⁷ − x²y, x = t² + 1, y = t² − 1

Answer:

1. She should use Length x Width x Height.

2. The unit of the answer is 30.

3. The volume of the box is 30 units.