Pls answer this ASAP

Answer: vertex: A, base: B and C

Step-by-step explanation:

Answer: the last one is gonna be the most likley to be correct

Step-by-step explanation:

The equation of the tangent plane to the given parametric surface at the specific point is -2x + 4z = 0  .

In the question ,

it is given that ,

the function is r(u,v) = u²i + 2usin(v)j + ucos(v)k ; u = 1, v = 0 .

Now,

According to the give function,

r(u,v) = (u² , 2usin(v) , ucos(v))

Then, solving it , We get ,

r(u,v) = (u² , 2usin(v) , ucos(v))

\(r_{u}\) = (u , 2sin(v) , cos(v))

\(r_{u}\) (1,0) = (2 , 0 , 1)

\(r_{v}\) = (0 , 2ucos(u) , -sin(v))

\(r_{v}\) (1,0) = (0 , 2 , 0)

So , the matrix become

\(\left[\begin{array}{ccc}i&j&k\\2&0&1\\0&2&0\end{array}\right]\)

On simplifying , we get

i(−2) −j(0) \(+\) k(4) = (−2 , 0 , 4)

r(2,0) = (2 , 0 , 1)

The  plane is

r = −2x \(+\) 4z

r(2,0,1) = −2(2) \(+\) 4(1) = d

−4 \(+\) 4 \(=\) d

d = 0

Therefore , the equation of tangent is -2x + 4z = 0 .

The given question is incomplete , the complete question is

Find an equation of the tangent plane to the given parametric surface at the specified point.  r(u,v) = u²i + 2usin(v)j + ucos(v)k ; u = 1, v = 0 .

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The change that will be gotten based on the cost illustrated is $10.

From the information, it should be noted that the person is given $20.

The cost of the pound of grapes will be: = 2 × $1.95 = $3.90

The cost of the loaves of bread will be: = 2 × $2.55 = $5.10

Cost of corn = $1.00

Therefore, the change that will be gotten will be:

= $20 - ($3.90 + $5.10 + $1.00)

= $20 - $10

= $10

Therefore, the change that will be gotten based on the cost illustrated is $10.

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a) Contribution (objective value) = $132.14

b) The firm earns $132.14 at the optimal solution.

c) An additional hour of time available for the third machine is worth $0.14 to the firm.

d) An additional 5 hours of time available for the second machine will increase the objective value by $3.69.

The best result obtained from using computer software to solve the LP problem is: X1 = 11.43, X2 = 12.86, X3 = 5.71

b) The number of unused hours at the ideal solution is:

Machine 1 still has 8.57 hours of time left.

There are no hours left on Machine 2 at the moment.

There are still 94.29 hours left on Machine 3.

c) The shadow price of the third limitation is worth an extra hour of time available for the third machine. With the exception of increasing the right-hand side of the third constraint by one unit, we can solve the LP problem using the same constraints to determine the shadow price. Using LP to solve this issue, we discover that the shadow price for the third constraint is

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Answer:

The expression is (310-30)^8

Step-by-step explanation:

ezer lol lol.    

Answer:

c

d

e

Step-by-step explanation:

Unfortunately, without more context about the origin of the value 0.0004, it is not possible to provide a detailed explanation of how it was obtained. The method for obtaining this value will depend on the context in which it is used.

For example, if 0.0004 is a decimal fraction, it may have been obtained by dividing a small number by a larger number. If it is a monetary amount, it may have been the result of a calculation involving currencies, exchange rates, or taxes. If it is a measurement of physical quantity, it may have been obtained using a scale, ruler, or other measuring device.

The value 0.0004 can have different meanings depending on the context in which it is used. For example, it could represent a decimal fraction, a monetary amount, or a measurement of physical quantity.

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Answer:

Step-by-step explanation:

Case 1 :

Radius, r = 5 feet.

Area,

\(A=\pi r^2\\\\A = 3.14\times 5^2\ feet^2\\\\A = 78.5\ feet^2\)

Case 2 :

Diameter, d = 56 mm.

So, radius, r = d/2 = 28 mm.

Area,

\(A = 3.14\times 28^2\ mm^2\\\\A = 2461.76\ mm^2\)

Hence, this is the required solution.

The student covers a total distance of 22.05 kilometers in a week's time, walking between the park and the house each day.

To find the total distance covered by the student in a week's time, we need to calculate the distance covered in one round trip (from the house to the park and back) and then multiply it by the number of round trips in a week.

Given that the difference between the park and house is 1 kilometer and 575 meters, we can convert it to a total distance of 1.575 kilometers.

In a round trip, the student covers twice the distance between the park and the house, which is 1.575 kilometers * 2 = 3.15 kilometers.

Now, we need to determine how many round trips the student makes in a week. Let's assume the student makes one round trip each day.

Since there are 7 days in a week, the total distance covered by the student in a week's time is 3.15 kilometers * 7 = 22.05 kilometers.

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Answer:

C

Step-by-step explanation:

You can use process of elimination. In D and A all the y numbers are staying the same. In B, the numbers are decreasing. So the only possible answer is C.

Hope this helped!! :D

Answer:

97,175

Step-by-step explanation:

I don't think It's necessary, but I am gonna do it anyways.

15*6=90

15*7=105

105 - 90 =15

15/2 =7,5

90+7,5= 97,5

15*6,5=  97,5

0,05*6,5= 0,325

97,5 - 0,325 =   97,175

If h(x)=(fog)(x) then h'(3) = 12.

Given:

Let f and g be differentiable functions such that f(3)=5,g(3)=7,f'(3) = 13, g'(3) = 6,f'(7) = 2 and g'(7) = 0

h(x)=(fog)(x)

h(x) = f(g(x))

h'(x) = f'(g(x)) * g'(x)

h'(3) = f'(g(3) * g'(3)

= f'(7) * 6

= 2*6

= 12

Therefore If h(x)=(fog)(x) then h'(3) = 12.

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Answer: 9m

Step-by-step explanation:

there is one “m” in each and there is a 9 in both number. (9*2=18), (9*3=27)

Answer:

= -9 11/36

Step-by-step explanation:

-2 3/4 - 6 5/9

= -2 27/36 - 6 20/36

= -8 47/36

= -9 11/36

Answer:

A i think

Step-by-step explanation:

....... X U Y

means x united y

which is both x and y

Here, Option D is the right answer in the given Venn diagram.

What is Venn diagram?

A Venn diagram is a diagram that represents the logical relation between two or more sets.

Y' represents everything except Y inside the box.

When we do X ∪ Y', it will represent the total area inside the box where only Y is not there.

Hence, Option D is right answer.

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The Laplace transform of e^(8t) * sin(t) is given by 1 / ((s - 8)(s^2 + 1)).

Theorem 7.4.2 states that if F(s) = ℒ{f(t)} and G(s) = ℒ{g(t)}, then the Laplace transform of the convolution of f(t) and g(t) is given by F(s) * G(s).

Using this theorem, we can evaluate the Laplace transform of e^(8t) * sin(t) by finding the individual Laplace transforms of e^(8t) and sin(t) and then multiplying them together.

The Laplace transform of e^(8t):

ℒ{e^(8t)} = 1 / (s - 8)

The Laplace transform of sin(t):

ℒ{sin(t)} = 1 / (s^2 + 1)

Now, applying Theorem 7.4.2, we can find the Laplace transform of e^(8t) * sin(t):

ℒ{e^(8t) * sin(t)} = ℒ{e^(8t)} * ℒ{sin(t)}

= (1 / (s - 8)) * (1 / (s^2 + 1))

= 1 / ((s - 8)(s^2 + 1))

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Answer:

3a - 2b = -3

Step-by-step explanation:

= (3) (3) - (6) (2)

= 9 - 12

= -3

Answer:

Step-by-step explanation:

3(3)- (6)2

9-12

-3

Firstly, let's begin by eliminating the parameter t as shown below;Given x = 16 - t and y = -6 - 3tAdding 3t on both sides of y = -6 - 3t, we get:y + 3t = -6Subtracting 16 from both sides of x = 16 - t, we get:t = 16 - xSubstituting the above result in y + 3t = -6, we get:y + 3(16 - x) = -6y = -3x - 54Thus, the equation in the form y = mx + b has m = -3 and b = -54.

Eliminating the parameter in the equations x = 16 - t and y = -6 - 3t, the equation in the form y = mx + b has been found where m = -3 and b = -54. To eliminate the parameter, we need to solve for t in one equation and then substitute it into the other equation. In this case, we have;t = 16 - xNow, we can substitute t in the second equation to obtain;y = -6 - 3(16 - x)y = -6 - 48 + 3xy = -3x - 54Therefore, the Cartesian equation for the given parametric equations is y = -3x - 54. The value of m (slope) in the equation y = mx + b is -3, and the value of b (y-intercept) is -54.

Therefore, the Cartesian equation for the given parametric equations is y = -3x - 54. The value of m (slope) in the equation y = mx + b is -3, and the value of b (y-intercept) is -54.

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To estimate the number of new users that would be added during time period 7, we can use the Bass diffusion model, which is commonly used to model the adoption of new products or technologies.

The Bass diffusion model is given by the formula:

\(\[N(t) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot t)}}}\]\)

where:

- N(t) represents the cumulative number of adopters at time \(t\).

- p is the innovation parameter, representing the coefficient of innovation.

- q is the imitation parameter, representing the coefficient of imitation.

- e is the base of the natural logarithm.

Given a population size of 67 million, an innovation parameter of 0.005, and an imitation parameter of 0.84 for Color TV, we can substitute these values into the Bass diffusion model and calculate the number of new users added during time period 7.

\(\[N(7) - N(6) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 7)}}} - \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 6)}}}\]\)

Substituting the given values into the equation:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

Evaluating the expression will give us the estimated number of new users added during time period 7.

In LaTeX, the solution can be represented as:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

After evaluating this expression, you will obtain the estimated number of new users added during time period 7.

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Using the values provided and a derivative of the cone's volume formula, the result is 0.059 feet per minute.

In mathematics, the rate at which a function changes in relation to a variable.

A cone is a three-dimensional geometric structure that has a smooth transition from a flat base that is typically circular to the point at the top, which is also referred to as the apex or vertex.

The formula for cone volume is:

V=πr2h/3

yields the formula for cone volume:

dv/dt = 2r * h/3 * dr/dt dV/dt = 3 r=2 h=12

dr/dt = 0.059 feet per minute.

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The interest earned increases with higher principal amounts, higher interest rates, and longer time periods.

Principal (P) | Interest Rate (r) | Time Period (t) | Interest Earned (I)

$1,000 | 2% | 1 year | $20

$5,000 | 4% | 2 years | $400

$10,000 | 3.5% | 3 years | $1,050

$2,500 | 1.5% | 6 months | $18.75

$7,000 | 2.25% | 1.5 years | $236.25

To calculate the interest earned (I), we can use the simple interest formula: I = P * r * t.

For the first row, with a principal of $1,000, an interest rate of 2%, and a time period of 1 year, the interest earned is calculated as follows: I = $1,000 * 0.02 * 1 = $20.

For the second row, with a principal of $5,000, an interest rate of 4%, and a time period of 2 years, the interest earned is calculated as follows: I = $5,000 * 0.04 * 2 = $400.

For the third row, with a principal of $10,000, an interest rate of 3.5%, and a time period of 3 years, the interest earned is calculated as follows: I = $10,000 * 0.035 * 3 = $1,050.

For the fourth row, with a principal of $2,500, an interest rate of 1.5%, and a time period of 6 months (0.5 years), the interest earned is calculated as follows: I = $2,500 * 0.015 * 0.5 = $18.75.

For the fifth row, with a principal of $7,000, an interest rate of 2.25%, and a time period of 1.5 years, the interest earned is calculated as follows: I = $7,000 * 0.0225 * 1.5 = $236.25.

These calculations show the interest earned for different savings principals, interest rates, and time periods.

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The design is a randomized controlled trial (RCT), where participants are randomly assigned to treatment groups and tested on the dependent variable once to control for confounding variables and ensure that differences observed between groups are due to the treatment.

The type of design you are referring to is a randomized between-subjects design, also known as a randomized controlled trial (RCT). In this type of experiment, participants are randomly assigned to one of two or more treatment groups, each receiving a different level or type of the independent variable. Then, the dependent variable is measured only once after the treatment is administered. The purpose of this design is to control for potential confounding variables and to ensure that any differences observed between groups are due to the treatment and not to other factors.

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Answer:

34.75 ( that's round to the nearest hundredth )

Step-by-step explanation:

do the math

Answer:

The correct option is (B).

Step-by-step explanation:

In this case, we need to test whether the claim made by the new brand of gym shoe is correct or not.

Claim: A new brand of gym shoe claims to add up to 2 inches to an athlete’s vertical leaps.

So, we need to test whether the average vertical leap of all the athletes increased by 2 inches or not after using the new brand of gym shoe.

The sample procedure would be to compute the average vertical leap of a group of athletes in their regular shoes (or a different pair) and the average vertical leap of a group of athletes in their new shoes.

Compare the two averages to see whether the difference is 2 inches or not.

The experimental group would be the one with the new shoes and the control group would be the one with the different pair of shoes.

Thus, the correct option is (B).

Answer:

B) Find the average vertical leap of all the athletes in their regular shoes. Give the experimental group the new shoes and the control group a different pair of shoes. Find the average vertical leap of the athletes in both groups. Compare the increases in vertical leap for each group.

Step-by-step explanation:

The equation of the normal line to the surface z = 4x⁸y² at the point (-1, -1, 4) is x = -t, y = -1 - t, z = 4 + 4t.

To find the equation of the normal line, follow these steps:
1. Calculate the partial derivatives of z with respect to x and y.
2. Evaluate the partial derivatives at the given point.
3. Form the parametric equation of the line using the gradient vector and the point.

Step 1: ∂z/∂x = 32x⁷y², ∂z/∂y = 8x⁸y
Step 2: ∂z/∂x(-1, -1) = 32, ∂z/∂y(-1, -1) = 8
Step 3: Gradient vector = (32, 8, -1), point = (-1, -1, 4)
Parametric equation: x = -1 - 32t, y = -1 - 8t, z = 4 - t

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Answer:

it’s B

Step-by-step explanation:

just took the test

Answer:

D.105

Step-by-step explanation:

sum of measures of the three angles equal 180

therefore measure of angle B equal 180-(52+23)=105 degree

The third table gives the correct numeric values for the function in this problem.

To obtain the numeric value of a function or even of an expression, we must substitute each instance of the variable of interest on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.

The function for this problem is given as follows:

y = 8x + 3.

Hence the numeric values of the function are given as follows:

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