Consider vectors u and v, where u = (1, -1) and v = (1, 1). What is the measure of the angle between the vectors?

volume= 16/3, A coordinate plane is a graphing and description system for points and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants in the coordinate plane. The point where these lines connect is called the origin (0, 0).

limits

z= 0 to z = 4-y-2x

y= 0 to y = 4- 2x

x= 0 to x= 2

volume

v= \(\int\limits^2_0 \int\limits^4_0 \int\limits^4_0 dzdydx\)

v= \(\int\limits^2_0 \int\limits^4_0 (4-y-2x) dydx\)

v= \(\int\limits^2_0 ( 4y- y^{2} / 2 - 2xy) ^4^-^2^x _0\)

dx= \(\int\limits^2_0 [ 16-8x - 16+ 4x^2 - 16x / 2 - 8x+ 4x^2 ] dx\)

v= \(\int\limits^2_0 [ 8+ 2x^2- 8x] dx\\\)

= [ 8x + 2x^3 / 3 - 8x^2 / 2 ] ^2_0

= [16+ 16/3- 16]

v= 16/3

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Complete Question

Question: Sketch The Tetrahedron Enclosed By The Coordinate Planes And The Plane 2x+Y+Z=4. Use A Triple Integral To Find The Volume Of The tetrahedron

Answer:

9.108

You only need to look at the 10nths place to determine which number is larger

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you can't solve it algebraically I suggest plot the points or lines and see if they meet the VTL (vertical line test).

Answer:

8

Step-by-step explanation:

\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)

The final answer is A. ∇f(-3,1) = (-6(-3) - 3(1), -3(-3) - 4(1)) = (15, -5).

                                B.  the gradient of f at the point P is (15, -5).

                                C.  the directional derivative of f at P in the direction of u is 39/5.

A. The gradient of f is a vector that points in the direction of maximum increase of the function, and its magnitude is the rate of change of the function in that direction. It is computed by taking the partial derivatives of the function with respect to each variable and putting them together as a vector:

∇f(x,y) = (∂f/∂x, ∂f/∂y) = (-6x - 3y, -3x - 4y)

So, in this case, the gradient of f is:

∇f(-3,1) = (-6(-3) - 3(1), -3(-3) - 4(1)) = (15, -5)

B. Evaluating the gradient at the point P means plugging in the values x = -3 and y = 1 into the expression for ∇f(x,y):

(f)(-3,1) = (-6(-3) - 3(1))i + (-3(-3) - 4(1))j = (15)i - 5j

So, the gradient of f at the point P is (15, -5).

C. The directional derivative of f at P in the direction u is the rate of change of f as we move along the line passing through P in the direction of u. It is computed by taking the dot product of the gradient of f at P with the unit vector in the direction of u:

Duf(p) = ∇f(-3,1) · u/|u| = (15, -5) · (3/5, 4/5)/|(3/5, 4/5)|
= (45/5, -20/5) · (3/5, 4/5)/√(9/25 + 16/25)
= 39/√25
= 39/5

So, the directional derivative of f at P in the direction of u is 39/5.

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The number of Indian and foreign visitors as per the data given of entry fee , tickets sold is equal to 230 and 250 respectively.

Let us denote the number of Indian visitors as 'I' and the number of foreign visitors as 'F'.

The entry fee for Indians is Rs. 150,

And the entry fee for foreigners is Rs. 400.

The cashier sold a total of 480 tickets.

The total amount collected is Rs. 1,34,500.

Set up a system of equations to represent the given information,

total number of tickets sold = 480

⇒ I + F = 480  ___(1)

Total amount collected = 1,34,500

⇒ 150I + 400F = 1,34,500 ___(2)

To solve this system of equations, use the substitution method.

From Equation 1, express I in terms of F,

I = 480 - F

Substituting this value of I into Equation 2,

⇒ 150(480 - F) + 400F = 1,34,500

Expanding and simplifying the equation,

⇒ 72,000 - 150F + 400F = 1,34,500

⇒250F = 1,34,500 - 72,000

⇒250F = 62,500

⇒F = 62,500 / 250

⇒F = 250

Now that we have the number of foreign visitors,

Substitute this value back into Equation 1 to find the number of Indian visitors,

I + 250 = 480

⇒ I = 480 - 250

⇒ I = 230

Therefore, the number of Indian visitors is 230, and the number of foreign visitors is 250 as per tickets sold.

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The above question is incomplete, the complete question is:

Amber Fort situated in Amer (Rajasthan) is one of the famous tourist destination .This fort was built by Mughals and is famous for its artistic style and design. The entry ticket for the fort is Rs.150 for Indians and Rs. 400 for foreigners. One day cashier found that 480 tickets were sold and Rs. 1,34,500 was collected. calculate the number of Indian and Foreign visitors.

The proof that quadrilateral WXYZ, having vertices W(-5, 6), X(-1, 10), Y(1, 4), and Z(-2, -3) is a trapezoid is given below.

Mathematical proof is a set of logical statements that are sequentially indicated to guaranty that a stated position is indeed accurate.

It is to be noted that with parallelograms, the diagonals intersect at the midpoints. (See the attached image).

The Diagonals are  WY  and  XZ; Where

WY :  (-4, -3) to  (6, -2); and

Midpoint is  [ (0 + 2)/2 ,  (-1 + -4)/2 ]  

= (1, -5/2)

The diagonals are bisectors of each other.

It is to be noted that the diagonals are not congruent. For if they were congruent, then the above would not be a trapezoid.

The Length of WY  = √((-4 - 6)²  +  (-3 - (-2))²)

WY = √(100 + 1)

WY = √101

The Length of XZ =    √((0 - 2)²  +  ( -1 - -4)²)

XZ = √(4+9)

XZ = √13

From the above, it is clear that both diagonals are unequal. Hence, given the first and second proof, we can state that quadrilateral WXYZ is a Trapezoid.

QED

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Answer:

Result = 9b/25 or 36b/100

Step-by-step explanation:

The number is b

step 1

b is decreased by 40%

value of 40% of b = 40/100 *b = 4b/10

New value after this change = b - 40% decreased value of b = b -4b/10

= (10b-4b)/10 = 6b/10

Step 2 The new value obtained is again decreased by 40%

value of 40%  number found in step 1 =  40% of value found in step 1

value of 40%  number found in step 1 =  40/100 * 6b/10 = 24b/100

This value (24b/100) is subtracted from value found in step 1(6b/10) as given that  value obtained is decreased by 40%

new value found after 40% decrease = 6b/10 - 24b/100

new value found after 40% decrease = 60b/100 - 24b/100= 36b/100

new value found after 40% decrease =  36b/100 = 9b/25

Thus, the result of b is decreased by 40% and decreased again by 40% is 9b/25

*remember to always be nice!

Have an outstanding day

The final Result is 36x/25

Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division.

An algebraic expression in algebra is formed using integer constants, variables, and basic arithmetic operations of addition(+), subtraction(-), multiplication(×), and division(/). An example of an algebraic expression is 5x + 6. Here 5 and 6 are fixed numbers and x is a variable.

Given:

let the number be x

x is decreased by 40%

40% of x = 40/100 * x = 4x/10

After decreasing

= x- 4x/10

=6x/10

Again decreasing 40%

Then , the value will be

= 6x/10- 0.4*6x/10

=6x/10- 02.4x/10

= 3.6x/10

= 36x / 100

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Answer: Neither

Step-by-step explanation:

We would solve this as angle, side, side. Unfortunately, there are no bad words in math. For your specific case it would be Neither, but it really would be HL (Hypotenuse leg)

Answer:

The first graph

Step-by-step explanation:

I just felt too bad for you after looking at your questions and points.

First, graph the parent function x ≤ -1.

It looks like a straight vertical line going through x = -1.

Since it is going through x = -1 and every point above and under it since it is a straight vertical line, and since x is less than or equal to this, it must be the blue function.

Then you look at the answer choices.

The first answer choice is correct because if you graph that, it comes out to the screenshot.

It matches the blue line, so it is correct.

I feel bad

Answer:

c is the answer

Step-by-step explanation:

hope this helps

Answer:

The answer would be A

Step-by-step explanation:

3 x 4pt and 3 x p which equals 12pt + 3p

Answer:

Yes, because there were 8 pieces to start with. Hernando ate 2, leaving six pieces to split equally between his other six friends.

Answer:

(A) yes,they are correct. Hernado divided 6 by 6

Step-by-step explanation:

\(4n + 6 + n - 2 \\ 4n + n + 6 - 2 \\ 5n + 4\)

Answer:

5n+4

Step-by-step explanation:

4n+6+n-2

(4n+n) = 5n

(+6-2) = 4

5n + 4

Answer:

x=3

Step-by-step explanation:

replace y with 8

8=3x-1

8+1=3x

9=3x

x=3

Answer:

hhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

Answer:

The answer for you here is D.

Step-by-step explanation:

A. makes no sense, I don't think I need to explain myself there lol.

B. and C. both pretty much say the same thing, since you can only pick one that makes those answers sketchy. Not to mention, if anything it would be MORE biased for the survey to allow people who don't even use the service to vote.

D. This one simply makes the most sense, as that is indeed something that varies greatly from person to person. (Also I got this one right on the test :P   )

The option that could affect the results of the survey is the answer options could be interpreted differently by different users.

The survey is meant to be taken only by those who use the service. The fact that the survey administered through the service instead of in person does not make the survey biased.

The question is too ambiguous and it can be interpreted differently by the users.

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Answer:

1/3

Step-by-step explanation:

To get no solution, you want to get rid of x and leave an incorrect equation.

In this case, we will use 1/3x.

1/3x + 2 = 1/3x - 3

We subtract 1/3x on both sides. This will cause the 1/3x's to cancel out.

1/3x - 1/3x + 2 = 1/3x - 1/3x - 3

2 ≠ -3

As we know, 2 is not 3. Therefore, there is no solution if 1/3x is used.

Answer:

y=10x

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula

y−y1=m(x−x1)  to find the line parallel to y=10x−45

.

If velocity is negative,The body is moving backwards instead of forwards, so the displacement will be measured as a negative value.

An antiderivative of a velocity function can be used to find displacement of the body by integrating the velocity function over a given time interval. The result of this integration will give the total displacement of the body over that time interval.

If the velocity is negative, it means that the body is moving in the opposite direction to the positive direction of the coordinate system. This has an impact on the problem of finding displacement because the displacement will also be negative. In other words, the body is moving backwards instead of forwards, so the displacement will be measured as a negative value.

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Answer:-30 duhh

Step-by-step explanation:

Answer:30 time

Step-by-step explanation:

One drawback of using the range as a measure of variability is that it only takes into account the difference between the maximum and minimum values in a dataset.

This can lead to an incomplete understanding of the overall variability and spread of the dataset. The range is simply the difference between the maximum and minimum values in a dataset. While it provides a basic measure of the spread, it does not consider the distribution or arrangement of the values within that range.

It ignores any potential outliers or extreme values that might be present in the dataset. As a result, the range may not accurately reflect the true variability or dispersion of the data.

Additionally, the range is highly influenced by extreme values, making it sensitive to outliers. A single outlier can significantly affect the range, leading to an overestimation or underestimation of the variability depending on the position of the outlier. Therefore, relying solely on the range can be misleading and insufficient for understanding the overall variability of a dataset.

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The mean and standard deviation of the scores are given below:

• Mean = 75

• Standard deviation = 4

We make use of the z-score formula below:

Part A (between 63 and 87)

First, we determine the z-scores.

Part B (Above 83)

Therefore, the percentage of scores that were above 83 is 2.28%.

Part C (below 71)

Therefore, the percentage of scores that were below 71 is 15.87%.

Part D (between 67 and 79)

There is only a 0.62% chance that the average length will be less than 2.4 inches. Therefore, we can conclude that it is unlikely for the average length of 100 randomly selected fish to be less than 2.4 inches.

Use the central limit theorem, which states that the distribution of sample means will be approximately normal regardless of the distribution of the population, as long as the sample size is large enough.

In this case, we are given that the length of one kind of fish is normally distributed, with a mean of 2.5 inches and a standard deviation of 0.4 inches. We want to find the probability that the average length of 100 randomly selected fish is less than 2.4 inches.

To apply the central limit theorem, we need to calculate the mean and standard deviation of the sampling distribution of the sample mean. The mean of the sampling distribution will be equal to the population mean, which is 2.5 inches. The standard deviation of the sampling distribution can be calculated using the formula:

standard deviation = population standard deviation / square root of sample size

In this case, the population standard deviation is 0.4 inches, and the sample size is 100, so:

standard deviation = 0.4 / sqrt(100) = 0.04 inches

Now that we have the mean and standard deviation of the sampling distribution, we can use the z-score formula to find the probability of obtaining a sample mean of less than 2.4 inches:

z = (sample mean - population mean) / standard deviation

z = (2.4 - 2.5) / 0.04 = -2.5

Using a standard normal distribution table, we can find that the probability of obtaining a z-score of -2.5 or less is approximately 0.0062. This means that the probability of obtaining a sample mean of less than 2.4 inches is approximately 0.0062.

In other words, if we were to randomly select 100 fish from this population and calculate the average length, there is only a 0.62% chance that the average length would be less than 2.4 inches. Therefore, we can conclude that it is unlikely for the average length of 100 randomly selected fish to be less than 2.4 inches.

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x²+2x, is a quadratic polynomial with a constant coefficient of 0

For the expression 2x²-5x+3, this is a quadratic polynomial with a constant coefficient of 3.

For the expression 6x, this is a linear polynomial with a constant coefficient of 0

Polynomial functions are function that has a leading degree of 3. For instance, given the expression;

ax²+bx+c

This is a quadratic polynomial with a constant coefficient of c. For the expression 3x²+2x, this is a quadratic polynomial with a constant coefficient of 0

For the expression 2x²-5x+3, this is a quadratic polynomial with a constant coefficient of 3.

For the expression 6x, this is a linear polynomial with a constant coefficient of 0

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Answer and Step-by-step explanation:

It's very easy.

If you have two shapes, let's say triangles, the shapes are said to be similar if the corresponding angles are equal. For instance a triangle ABC with angles A = 45, B = 45 and C = 90 if there is another triangle PQR with angles P = 45, Q = 45 and R = 90, we say triangle ABC and triangle PQR are similar because their corresponding angles are equal.

Two triangles are said to be congruent if they are exactly the same in angles and size. All congruent shapes are similar but not all similar shapes are congruent.

To find area of similar shapes, we need what we call the scale factor of the enlargement.

If we have two similar shapes where by one is an enlargement of the other. Let's say the enlargement is in ratio 2:1. This ratio 2:1 is what we call scale factor. If we want to find the area of one shape given the area of a similar one to it, we make use of

Area = (scale factor)². For instance if we have two similar triangles, the area of the bigger is 16cm² and the scale factor is 2:1, we can find the area or the smaller by:

(2/1)² = 16/X = 4/1 = 16/X

4x = 16 and x = 4.

To find volume we use:

Volume = (scale factor)³ and the process is the same.

The derivative of F(x) is \(F'(x) = x^{(1/3)\).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

To find the derivative of the given function F(x), we will apply the fundamental theorem of calculus and differentiate the integral with respect to x.

Let's compute F'(x):

F(x) = ∫[0 to x] \(t^{(1/3)} dt\)

To differentiate the integral with respect to x, we'll use the Leibniz integral rule:

F'(x) = d/dx ∫[0 to x] \(t^{(1/3)} dt\)

According to the Leibniz integral rule, we have to apply the chain rule to the upper limit of the integral.

\(F'(x) = x^{(1/3)} d(x)/dx - 0^{(1/3)} d(0)/dx\)   [applying the chain rule to the upper limit]

Since the upper limit of the integral is x, the derivative of x with respect to x is 1, and the derivative of 0 with respect to x is 0.

\(F'(x) = x^{(1/3)} (1) - 0^{(1/3)} (0)\)

\(F'(x) = x^{(1/3)\)

Therefore, the derivative of F(x) is \(F'(x) = x^{(1/3)\).

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Answer:

13

Step-by-step explanation:

a^2 + b^2 = c^2

144 + 25 = \(\sqrt{169}\) = 13

Answer:

13

Step-by-step explanation:

pythagorean theorem a^2+b^2=C^2

5^2+12^=x^2

25+144=169

\( \sqrt{169} = 13\)

Answer:

15%

Step-by-step explanation:

i hope i got this right

Answer:

15% is the answer to your question

Answer:

34 mpg

Step-by-step explanation:

divide 578 by 17.