7/12 x 4x3 =? I need help

The equation of the tangent plane to the surface represented by the vector-valued function at the point (1,1,1) is x - 2y - 2z + 1 = 0.

To find the equation of the tangent plane, we need to find the partial derivatives of the vector-valued function with respect to u and v, and evaluate them at the given point (1,1,1):

r(u,v) = ui + vj + √(uv)k

∂r/∂u = i + (1/2√(uv))k

∂r/∂v = j + (1/2√(uv))k

Now we evaluate these partial derivatives at the point (1,1,1):

∂r/∂u(1,1) = i + (1/2)k

∂r/∂v(1,1) = j + (1/2)k

The normal vector to the tangent plane is the cross product of these partial derivatives:

n = ∂r/∂u × ∂r/∂v = i × j + (1/2)i × k + (1/2)j × k = -k + (1/2)i + (1/2)j

So the equation of the tangent plane at the point (1,1,1) is:

-k + (1/2)i + (1/2)j = -(x-1) + (1/2)(y-1) + (1/2)(z-1)

Simplifying, we get:

x - 2y - 2z + 1 = 0

Therefore, the equation of the tangent plane to the surface represented by the vector-valued function at the point (1,1,1) is x - 2y - 2z + 1 = 0.

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The volume of the pot is = 731.2 cubic inches.

Each thing in three dimensions takes up some space. The volume of this area is what is being measured.

The space occupied within an object's borders in three dimensions is referred to as its volume.

It is sometimes referred to as the object's capacity.

Finding an object's volume can help us calculate the quantity needed to fill it, such as the volume of water needed to fill a bottle, aquarium, or water tank.

Since the forms of various three-dimensional objects vary, so do their volumes.

According to our answer-

volume of a pot is = πr²h + 2πr³

22/7 * 698/3

731.2 cubic inches

Hence, The volume of the pot is = 731.2 cubic inches.

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In the ANOVA test, factors don't directly explain variation, levels don't account for external variation, and the blocking factor's significance should be considered despite a significant main factor for accurate interpretation.

1. A factor in an ANOVA test that does not necessarily describe the cause of the variation in the data is False. A factor represents a categorical variable or an independent variable that is believed to have an effect on the dependent variable. It is used to explain the observed differences among groups or treatments, but it does not directly explain the cause of the variation.

2. A level in an ANOVA test does not account for the variation outside of the main factor is False. A level refers to the different values or categories within a factor. It represents the specific groups or treatments being compared within a factor.

Levels do not account for variation outside of the main factor; rather, they help analyze the variation within the factor and assess the differences between the levels.

3. The significance of the blocking factor is still important even if the main factor is statistically significant in a randomized block ANOVA is False. A blocking factor is included to account for potential sources of variation that are not of primary interest but might affect the outcome variable.

It helps control for confounding variables or other sources of variation, and its significance should be considered in interpreting the results accurately. Both the main factor and the blocking factor need to be evaluated to understand the overall significance and impact of different factors on the outcome variable.

Therefore, all the answers are false.

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Note: The question would be as

1. A Factor In An ANOVA Test Describes The Cause Of The Variation In The Data. True Or False?

2. A Level In An ANOVA Test Accounts For The Variation Outside Of The Main Factor. True Or False?

3. As Long As The Main Factor Is Statistically Significant With Randomized Block ANOVA, There Is No Concern About The Significance Of The Blocking Factor. True

Answer:

5000-4000=1000

Step-by-step explanation:

you subtract to get your answer

The Z algorithm is a linear-time string-matching algorithm that is used to find all occurrences of a pattern in a text. It can be implemented in various programming languages, including C++, Python, and Java. Here's an example of the Z algorithm implemented in C++:

CODE IS AS FOLLOWS:
#include <iostream>

#include <vector>

using namespace std;

vector<int> Z_algorithm(string str) {

 int n = str.size();

 vector<int> Z(n);

 Z[0] = n;

 int l = 0, r = 0;

 for (int i = 1; i < n; i++) {

   if (i > r) {

     l = r = i;

     while (r < n && str[r - l] == str[r]) r++;

     Z[i] = r - l;

     r--;

   } else {

     int k = i - l;

     if (Z[k] < r - i + 1) Z[i] = Z[k];

     else {

       l = i;

       while (r < n && str[r - l] == str[r]) r++;

       Z[i] = r - l;

       r--;

     }

   }

 }

 return Z;

}

int main() {

 string str;

 cin >> str;

 vector<int> Z = Z_algorithm(str);

 for (int i = 0; i < Z.size(); i++) cout << Z[i] << " ";

 return 0;

}

This code takes a string str as input, and returns an array Z of integers, where each Z[i] represents the length of the longest common prefix of str and str[i...n-1]. The code uses the Z algorithm to compute the Z array in linear time.

Therefore, The Z algorithm is a linear-time string-matching algorithm that is used to find all occurrences of a pattern in a text. It can be implemented in various programming languages, including C++, Python, and Java.

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The solution of the expression will be 3, -2, and -22 respectively.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expressions are:-

2x²−3x−2 if x is less than or equal to -1

E = 2x²−3x−2

E = 2 (-1) ² - 3 x -1 -2

E = 2 + 3 - 2

E = 3

E = −x²+2x+1 if -1

E = -(-1)² + 2 x -1 + 1

E = -1 - 2 + 1

E = -2

E = −2x²−x−1

E = -2 ( 3 )² - 3 - 1

E = -18 - 3 - 1

E = -22

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Answer:

4

Step-by-step explanation:

2 + 2 = 4

you have two and you add 2

you get 4

Hope this helps!

The solution to the proportion is x = 16.

We have,

To solve the proportion (x - 4)/6 = x/8, cross-multiply and then solve for x.

Cross-multiplying gives:

8(x - 4) = 6x

Now, distribute the 8 on the left side:

8x - 32 = 6x

Next, isolate the x term by subtracting 6x from both sides:

8x - 6x - 32 = 6x - 6x

2x - 32 = 0

Finally, add 32 to both sides to solve for x:

2x - 32 + 32 = 0 + 32

2x = 32

Divide both sides by 2:

(2x)/2 = 32/2

x = 16

Therefore,

The solution to the proportion is x = 16.

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Answer:  9/10

=======================================================

Explanation:

Imagine a pizza split into 5 equal slices. Then imagine that you split each slice in half. This means we now have 5*2 = 10 slices.

Eating 3 out of the original 5 is equivalent to eating 6 smaller slices out of the now 10 total.

In other words:  The fraction 3/5 is the same as 6/10

Put another way: Multiply top and bottom of 3/5 by 2 to get 6/10.

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

Gary painted 3/10 of the fence in the morning, and then 3/5 of it in the afternoon. We can replace the "3/5" with "6/10".

3/10 + 6/10 = (3+6)/10 = 9/10 total

Going back to the pizza scenario, we can imagine 3/10 as eating 3 slices out of 10 total. Then 6/10 adds 6 more slices to get 3+6 = 9 slices total. That's how we end up with 9/10 as the answer.

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.

The 95% confidence interval for the mean weight per apple is calculated and the p value foe that particular interval is 0.1447

There is not sufficient evidence to reject the company's claim.

Z Test of Hypothesis for the Mean

Data

Null Hypothesis m =120

Level of Significance 0.05

Population Standard Deviation 12

Sample Size 49

Sample Mean 122.5

Intermediate Calculations

Standard Error of the Mean 1.7143

Z Test Statistic 1.4583

Two-Tail Test  

Lower Critical Value -1.9600

Upper Critical Value 1.9600

p-Value 0.1447

Do not reject the null hypothesis

Hence, the p value foe that particular interval is 0.1447

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Answer:

(A U B) = {1,2,3,5,7,8,9,10}

(A n B)= {7,9,10}

(A U B) U (A n B) = {1,2,3,5,7,8,9,10}

Step-by-step explanation:

Answer:

z = 9 I think

Step-by-step explanation:

Because I did the quiz

Answer:

3 more girls than boys.

Step-by-step explanation:

Let's change 4:5 to 4x(boys) and 5x(girls).

Since there are 27 students, the equation would be:

4x+5x=27

Then, you simplify the equation:

9x=27

x=3

We are not finished yet!

Since there is 4x boys and 5x girls,

do 4 times 3 which gets you 12 boys

and 5 times 3 which gets you 15 girls.

15 girls minus 12 boys is 3 more girls than boys!

Hope this helps :)

Answer:

198 in²

Step-by-step explanation:

triangle (A=1/2)bh [A=1/2(22×8)] b=22 H=8

rectangle (A=bh) [A= 22×5] B=22 H=5

triangle = 88

rectangle = 110

So, 88+110 = 198

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

Yes, Y follows a Chi-Squared distribution with v = 1.

Is it true that Y has the Chi-Squared distribution with v = 1?

The main answer is that Y indeed has the Chi-Squared distribution with v = 1.

To explain further:

Let's start by finding the cumulative distribution function (CDF) of Y. We have Y = \(X^2^/^2\), where X follows the standard normal distribution.

The CDF of Y can be calculated as follows:

F_Y(y) = P(Y ≤ y) = P(\(X^2^/^2\) ≤ y) = P(X ≤ √(2y)) = Φ(√(2y)),

where Φ represents the CDF of the standard normal distribution.

Next, we differentiate the CDF of Y to obtain the probability density function (PDF) of Y. Applying the chain rule, we have:

f_Y(y) = d/dy [Φ(√(2y))] = Φ'(√(2y)) * (d√(2y)/dy).

Using the identity d/dx [Φ(x)] = φ(x), where φ(x) is the standard normal PDF, we can write:

f_Y(y) = φ(√(2y)) * (d√(2y)/dy) = φ(√(2y)) * (1/√(2y)).

Now, we recognize that φ(√(2y)) is the PDF of the Chi-Squared distribution with v = 1. Therefore, we can conclude that Y has the Chi-Squared distribution with v = 1.

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A. The y-intercept is at the point (0, 0).

B.  The zeros are x = 0 or x = ±√5

C.

A) The y-intercept of this graph is the point where x = 0.

When  x = 0, the value of y

= 0^4 - 5*0^2

= 0.

Therefore, the y-intercept is at the point (0, 0).

B) The x-intercepts/roots of the function are the values of x that make y = 0.

To find these values, we need to set y = 0 and solve for x:

x⁴ - 5x² = 0

x⁴ = 5x²

x² = x⁴/5

x = ±√(x⁴/5)

We can simplify this expression by factoring x² out of both sides:

x²(x² - 5) = 0

x² = 0 or x² - 5 = 0

x = 0 or x = ±√5

hence the x-intercepts are at x = 0 and x = ±√5.

C) The end behavior of this function refers to how the graph of the function approaches the x-axis as x approaches positive infinity and negative infinity.

x → ∞ f(x) → ∞

x → -∞ f(x) → -∞

D) The graph is attached

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Answer:

a and c

Step-by-step explanation:

5(-2)<2

-10<2

5(-5)<2

-25<2

Answer :Exponential growth occurs when the base of an exponential function (b) is greater than 1 and the exponent (t) is positive.

Explanation :An exponential function is a mathematical function of the form y = Cbt, where b > 0 and b ≠ 1. When b > 1, the function is said to model exponential growth, while when 0 < b < 1, the function models exponential decay. Thus, exponential growth occurs when the base of an exponential function (b) is greater than 1 and the exponent (t) is positive. When b is any positive number, it may not necessarily result in exponential growth as it may lead to exponential decay or constant value as well.

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Answer:

See below

Step-by-step explanation:

The answer is attached

Answer: 2b = 3g

Step-by-step explanation:

This is quite basic to solve, below is a Step by step explanation:

from the given question we have that;

       i.e  b = 1500 gallons per minute

          g = 1000 gallons per minute.

Our questions tells us to write the equation which  relates the flow of water from the blue hydrant, b, to the flow from the green hydrant, g.

ANS:

Since flow from blue  hydrant b = 1500 gallons per minute, we have that

b = 3 * 500

b = 3 * 1000/2 g

b = 3/2 g

equation  gives 2b = 2g

cheers i hope this helped !!

Answer:

like terms

1.-2x-p+7z

2.7m+5n-3

3.6t+2+3s

Distribute and simplify

1.-24t-30x-12+3x

-24t-27x-12

2.10x+15y+35-5x-3y

5x+12y+35

3.24x-12-2x

22x-12

Answer:

points for points

Step-by-step explanation:

aint gotta explain $ hit.

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that Keith leaves a 15% for a dinner bill of $25. The amount of tip that Keith leaves will be calculated by multiplying 15% by $25. This will be:

= 15% × $25

= 15/100 × $25

= 0.15 × $25

= $3.75

Keith's total bill will be gotten by adding the dinner bill plus the tip together. This will be:

= $25 + $3.75

= $28.75

The volume of the cylnder is  9,728.5 ft³

For a cylinder of radius R and height H, the volume is given by:

V = pi*R^2*H

Where pi = 3.14

Here we know that the height is.

H = (20 + 1/2) ft = 20.5 ft

And the diameter is (1 + 1/5) times the height, then:

D = (1 + 1/5)*(20 + 1/2) ft = (1.2)*(20.5)ft = 24.6ft

And the radius is half of that, so:

R = 12.3ft

Then the volume is:

V = 3.14*(12.3ft)^2*20.5ft = 9,728.5 ft³

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Answer:

yes because it can be equal to it

Answer:

This graph is kind of funky, but it should be 70

Step-by-step explanation:

23+47=70

Please mark Brainliest!!!

Answer:

70

Step-by-step explanation:

Step-by-step explanation:

\( f(x) = - 3 {x}^{2} + 9x - 2\)

A) f(-2) + f(1) = -32 + 4 = -28

B) f(-2) - f(1) = -32 - 4 = -36

Answer: The answer is sixteen.

Explanation: The area of any square would be equal to \(S^{2}\) or lw = a. (Length x width = area). The area could also be found with A =  \(S^{1} x\)   \(S^{2}\).

Side 1 = 4     Side 2 = 4

4 x 4 = 16.