find an equation for the tangent plane to the surfacez 1=xy5cos(z) at the point (1,1,0)

Answer:

y intercept = -3

the slope of the line is 1

Step-by-step explanation:

y intercept is the value of y when x = 0

x = 0 when y = -3

Each digit in a number has a place value based on its position. In the number 2.452, there are two 2s, but they have different place values. The first 2 is in the "tenth" place, and the second 2 is in the "hundredth" place.

The place value of the first 2 is 2 tenths, or 0.2. The place value of the second 2 is 2 hundredths, or 0.02.

The difference in value between these two 2s comes from their place values. In decimal numbers, the value of a digit decreases as you move to the right. So, the digit in the tenth place has a higher value than the digit in the hundredth place.

In this case, the first 2 is worth 0.2 and the second 2 is worth 0.02. The value of each digit is determined by its position and the corresponding place value.

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in the number 2.452, the first 2 has a value of 0.2 and the second 2 has a value of 0.02. Each 2 has a different value due to its position in the number, determined by the decimal place value system.

The number 2.452 has two 2s, but each 2 has a different value because of its position in the number. In the decimal system, the value of a digit is determined by its place value. The place value of the first 2 in 2.452 is the tenth place, while the place value of the second 2 is the hundredth place.

In the tenth place, the first 2 represent a value of 2/10 or 0.2. This is because the tenth place is one place to the right of the decimal point. So, the first 2 contribute a value of 0.2 to the overall number.

In the hundredth place, the second 2 represents a value of 2/100 or 0.02. This is because the hundredth place is two places to the right of the decimal point. So, the second 2 contributes a value of 0.02 to the overall number.

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The transformation of f(x) to g(x) is g(x) = (x + 6)² + 4

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

Where, we have

f(x) = x²

The translation 6 units left and 4 units up means that

g(x) = f(x + 6) + 4

So, we have

g(x) = (x + 6)² + 4

This means that the transformation of f(x) to g(x) is g(x) = (x + 6)² + 4

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The radius is 12. (Equation used: r=\(\sqrt{\frac{a}{\pi } }\))

Answer:

same

Step-by-step explanation:

They are the same since

1/2÷4=1/2×1/4(reciprocal)

Answer:

dfgdfvdfvthtybg f cv v  

Step-by-step explanation:

Answer:

2.96 cm to the nearest hundredth.

Step-by-step explanation:

V = 3.14 r^2 h

226 = 3.14 * r^2 * 8.2

r^2 = 226 / (3.14*8.2)

r^2 = 8.7774

r =  2.96 cm to the nearest hundredth.

Answer:

57

Step-by-step explanation:

Let c represent the number of children ($1.75 each) and a represent the number of adults ( $2.00 each).

We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c

We also know that $1.75 c + $2.00 a = $609.25

By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25

Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25

Subtract $680 from both sides and combine like terms to get - $0.25 c = -

$70.75

Now, divide both sides by -$0.25 to get c = 283, the number of children.

The number of adults is 340 - c or 340 - 283 = 57

We have the expression:

We can solve the parenthesis and then multiply or we can apply the distibutive property before the addition.

1) Solving the parenthesis first:

2) Applying the distributive property:

If we look at each of the expressions, we can find if they are equivalent of not.

A) Equivalent. In this case, we are applying the commutative property of the multiplication (you can multiply in any order).

B) Equivalent. In this case, the commutative property of the addition is applied, as we can sum in any order.

C) Not equivalent. Is the distributive property but applied wrong: the 6 has to also multiply the 8.

D) Equivalent. This is the application of the distributive property.

sets A and B are dijoint.

What is disjoint?

When two sets do not share a common element, they are said to be disjoint. A collection must be disjointed if it contains two or more sets, in which case the intersection of the entire collection must be empty.

However, a collection of sets can have a null intersection without being broken up. A group of less than two sets is trivially disjoint because there are no pairs to compare them to, but a group of only one set has an intersection that is equal to that set, which may or may not be non-empty. For instance, although the three sets 11 and 12, 12 and 13, and 11 and 13 have a null intersection, they are not disjoint. In this group, there aren't any two disjoint sets that are possible. The empty family of sets also exhibits pairwise disjointness.

A={1} and B= {3,7}

So there is no common element between set A and B.

Hence sets A and B are dijoint.

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Answer:

2.82

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of rectangle:

Area of square:

Answer:

The length of the square is 12 inches.

Step-by-step explanation:

Area of square = Area of rectangle

Area of rectangle = Length × Breadth

⇒ 18 × 8

⇒ 144 in²

★ Area of square = Side × Side

⇒ 144 = Side²

⇒ Side = √144

⇒ Side = 12 inches

Therefore, the length of the square is 12 inches.

Answer: Z<4

Step-by-step explanation:

Rearrange the equation

-3(z-6) - (2z-2)>0

-3z+18-2z+2>0

-5z +20>0

-5(z-4)>0

divide  both side by -5

z-4<0

z<4

If r(x) is a rational function in simplest form where the degree of the numerator is 3 and the degree of the denominator is 1, a)then r(x) has a horizontal asymptote at y=0.

This is because the degree of the denominator is greater than the degree of the numerator, which means that as x gets very large or very small, the denominator will dominate the behavior of the function.

As a result, the function will approach zero, and thus, there is a horizontal asymptote at y=0. If the degree of the numerator were greater than or equal to the degree of the denominator, then the function could have a horizontal asymptote at a nonzero value or no horizontal asymptote at all.

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Answer:

0.2

Step-by-step explanation:

Answer:

-6g

Step-by-step explanation:

The engineer should take a sample size of approximately 40 to be 95% confident of being in error by only 0.125 minutes.

To calculate the sample size for estimating the cycle time, the engineer can use the formula for continuous data:

E = (zα/2) * (σ / √n)

where:
E is the maximum allowable error (0.125 minutes),
zα/2 is the z-value for a 95% confidence level (which corresponds to a 0.025 alpha level),
σ is the standard deviation (0.4 minutes), and
n is the sample size (unknown).

Rearranging the formula, we have:

n = (zα/2)^2 * (σ^2 / E^2)

Plugging in the given values, we get:

n = (1.96)^2 * (0.4^2 / 0.125^2)

Simplifying the equation, we have:

n ≈ 3.8416 * (0.16 / 0.015625)

n ≈ 3.8416 * 10.24

n ≈ 39.494

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Answer:

i do not know

Step-by-step explanation:

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

Explanation:

Use the remote interior angle theorem. This says to add the interior angles shown, and you'll get the exterior angle that is not adjacent to those interior angles.

68+65 = 133

So angle B is 133 degrees

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

A longer alternative is to let C be the missing interior angle of the triangle. Then we can find that

68+65+C = 180

C+133 = 180

C = 180-133

C = 47

Angle C is adjacent to the exterior angle B, meaning

B+C = 180

B+47 = 180

B = 180-47

B = 133

Answer:

7

Step-by-step explanation:

Pythagorean theorem. 24^2+b^2=25^2

Simplify

576+b^2=625

b^2=49

b=7

The approximate weight of all the ants in the worlds in scientific notation is  3×10¹⁰ kg .

Values that are either too large or too little to be conveniently stated in decimal form can be indicated using scientific notation (typically would result in a long string of digits).

Weight of 1 ant = 3×10⁻⁶ kg

number of ants =  1×10¹⁶

Total weight = 3×10⁻⁶ × 1×10¹⁶ =  3×10¹⁰ kg

Therefore the weight of all the ants in the world is approximately

3×10¹⁰ kg

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The required demand function for the marginal revenue function is P = 0.02x² - 0.025x.

Marginal Revenue is the revenue that is gained from the sale of an additional unit. It is the revenue that a company can generate for each additional unit sold; there is a marginal cost attached to it, which must be accounted for.

The marginal revenue function, find the demand capability is P = 0.02x² - 0.025x + 138 when R'(x) = 0.06x² - 0.05x + 138 .

Considering that,

We need to find for the peripheral income capability, find the interest capability.

Recollect that the pay is zero assuming no things are sold:

R'(x) = 0.06x² - 0.05x + 138

p(x) is what.

That's what we know,

MR = dTR/dx = 0.06x² - 0.05x + 138

Incorporating the marginal revenue function , we get complete income capability,

MR = TR

= (0.06x²⁺¹)/(2+1) - (0.05x¹⁺¹)/(1+1) + 138x

= (0.06x³)/3 - (0.05x²)/2 + 138 x

TR = 0.02 x³ - 0.025 x² + 138 x

TR = (P)(Q) = (P)(x) = 0.02 x³ - 0.025 x² + 138 x

P = ( 0.02 x³ - 0.025 x² + 138 x)/x

P = 0.02x² - 0.025x + 138

In this manner, The marginal revenue function, find the interest capability is P = 0.02x² - 0.025x + 138 when R'(x) = 0.06x² - 0.05x + 138 .

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It will take about 3 years for the bird population to reach 7,200, assuming exponential growth. Assuming exponential growth, we can use the formula N = N0 x (1+r)^t, where N is the final population, N0 is the initial population, r is the annual growth rate, and t is the time in years.

In this case, we know that N0 = 900 and N = 7,200. We can find the annual growth rate, r, by using the fact that the population doubled in one year.
If the population doubles in one year, then the growth rate is 100%. So r = 1.
Now we can plug in the values we know and solve for t:
7,200 = 900 x (1+1)^t
Dividing both sides by 900:
8 = 2^t
Taking the logarithm of both sides:
log(8) = t x log(2)
Solving for t:
t = log(8) / log(2)
t ≈ 3
So it will take about 3 years for the bird population to reach 7,200, assuming exponential growth.

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Answer:

5832

Step-by-step explanation:

54+27=81x72=5832

The price of a three-month put option with the same exercise price will be $7.79.

Given that:

Price of a Share: $73

The exercise cost is $70.

Price on Call: $5.27

The risk-Free Interest Rate is equal to 0.22% each month.

Time Left Until Expiration: 3 months

The put-call parity formula may be used to determine the cost of a three-month put option with the same exercise price given as,

Put Price + Exercise Price = Call Price + Stock Price / (1 + Risk-Free Rate)³

Put Price + $70 = $5.27 + $73 / (1 + 0.0022)³

Put Price + $70 = $5.27 + $73 / 1.00663

Put Price + $70 = $5.27 + $72.52

Price Put = $7.79

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The given matrix A is diagonalizable, and the matrix P such that P⁻¹AP = D is:

P = [[1, 1],

    [0, 1]

D = [[2, 0],

    [0, 3]]

To determine whether a given matrix is diagonalizable, we need to check if it has a full set of linearly independent eigenvectors. If it does, then it is diagonalizable.
To determine if a matrix is diagonalizable and find the diagonal matrix D:
1. Compute the eigenvalues of matrix A by solving the characteristic equation det(A - λI) = 0, where λ is an eigenvalue and I is the identity matrix.
2. For each eigenvalue λ, find the corresponding eigenvectors by solving the equation (A - λI)X = 0, where X is a vector.
3. If the number of linearly independent eigenvectors is equal to the size of the matrix (i.e., the matrix has n linearly independent eigenvectors), then the matrix A is diagonalizable.
4. Once you have found a set of linearly independent eigenvectors, construct the matrix P using these eigenvectors as columns.
5. Find the inverse of matrix P, denoted as P⁻¹.
6. Compute the diagonal matrix D by using the equation D = P⁻¹AP.
If the matrix A is diagonalizable, then matrix P will be the matrix of eigenvectors, and D will be a diagonal matrix consisting of the corresponding eigenvalues on the diagonal.

Example:
Let's say we have a matrix A:
A = [[2, 1],
    [0, 3]]
1. Compute the eigenvalues:
  The characteristic equation is det(A - λI) = 0:
  |2-λ  1   |
  |0    3-λ |
  Setting this determinant equal to zero, we get:
  (2-λ)(3-λ) - 0 = 0
  Expanding and simplifying, we have:
  λ² - 5λ + 6 = 0
  Factoring, we get:
  (λ - 2)(λ - 3) = 0
  So, the eigenvalues are λ = 2 and λ = 3.

2. Find the eigenvectors:
  For λ = 2, we solve the equation (A - 2I)X = 0:
  |0  1| |x1|   |0|
  |0  1| |x2| = |0|
  Solving this system of equations, we get one eigenvector:
  X1 = [1, 0]
  For λ = 3, we solve the equation (A - 3I)X = 0:
  |-1  1| |x1|   |0|
  |0   0| |x2| = |0|
  Solving this system of equations, we get one eigenvector:
  X2 = [1, 1]
3. Since we have found two linearly independent eigenvectors (X1 and X2) and the matrix A is a 2x2 matrix, it is diagonalizable.
4. Construct matrix P:
  P = [X1, X2] = [[1, 1],
                  [0, 1]]
5. Find the inverse of matrix P:
  P⁻¹ = [[1, -1],
          [0,  1]]
6. Compute the diagonal matrix D:
  D = P⁻¹AP = [[2, 0],
                [0, 3]]
Therefore, the given matrix A is diagonalizable, and the matrix P such that P⁻¹AP = D is:
P = [[1, 1],
    [0, 1]]
D = [[2, 0],
    [0, 3]]

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Answer:

me too

Step-by-step explanation:

Meeee toooooooo!!!,!,!,!,!,,,,!,!!,!!!!

The angle between ⟨4, 0⟩ and ⟨2, 2⟩ is 0 degrees or 0 radians. To find the angle between two vectors, we can use the dot product formula and the magnitude of the vectors.

The dot product of two vectors, A and B, is given by:

A ·B= |A|  |B| * cos(θ),

where |A| and |B| are the magnitudes of vectors A and B, and θ is the angle between them.

Let's calculate the angle between the vectors ⟨4, 0⟩ and ⟨2, 2⟩ using this formula:

First, calculate the magnitudes of the vectors:

\(\(|\mathbf{A}| = \sqrt{4^2 + 0^2} = \sqrt{16} = 4\)\(|\mathbf{B}| = \sqrt{2^2 + 2^2} = \sqrt{8} = 2\sqrt{2}\)\)

Next, calculate the dot product of the two vectors:

A·B = 4 * 2√2 * cos(θ),

Since one of the vectors has a y-component of 0, the dot product simplifies to:

A.B = 4 * 2 * cos(θ) = 8 * cos(θ).

Now, we can solve for θ:

8 * cos(θ) = ⟨4, 0⟩ · ⟨2, 2⟩ = 4*2 + 0*2 = 8.

Dividing both sides by 8:

cos(θ) = 1.

The angle θ between the vectors is the angle whose cosine is 1. This occurs at θ = 0 radians (or 0 degrees).

Therefore, the angle between ⟨4, 0⟩ and ⟨2, 2⟩ is 0 radians or 0 degrees.

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In order to write 4/6 as 2/3 we would break apart pieces and to write 4/6 as 8/12 we would combine pieces.

A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below.

In order to write 4/6 as 2/3 we have to express in its simplest form. This means that you have to divide 4/6 by 2. In order to write 4/6 as 8/23, multiply 4/6 by 2.

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The function f(x, y) = (x²y - x - 1)² + (x² - 1)² - (x² - 1)(x² - 1) has critical points given by the equations x²y - x - 1 = 0 and 2x³ - x² + 4x + 1 = 0.

To determine the critical points and identify the local minima of the function f(x, y) = (x²y - x - 1)² + (x² - 1)² - (x² - 1)(x² - 1), we need to find the partial derivatives with respect to x and y and set them equal to zero.

Let's begin by finding the partial derivative with respect to x:

∂f/∂x = 2(x²y - x - 1)(2xy - 1) + 2(x² - 1)(2x)

Next, let's find the partial derivative with respect to y:

∂f/∂y = 2(x²y - x - 1)(x²) = 2x²(x²y - x - 1)

Now, we can set both partial derivatives equal to zero and solve the resulting equations to find the critical points.

For ∂f/∂x = 0:

2(x²y - x - 1)(2xy - 1) + 2(x² - 1)(2x) = 0

Simplifying the equation, we get:

(x²y - x - 1)(2xy - 1) + (x² - 1)(2x) = 0

For ∂f/∂y = 0:

2x²(x²y - x - 1) = 0

From the second equation, we have:

x²y - x - 1 = 0

To find the critical points, we need to solve these equations simultaneously.

From the equation x²y - x - 1 = 0, we can rearrange it to solve for y:

y = (x + 1) / x²

Substituting this value of y into the equation (x²y - x - 1)(2xy - 1) + (x² - 1)(2x) = 0, we can simplify the equation:

[(x + 1) / x²](2x[(x + 1) / x²] - 1) + (x² - 1)(2x) = 0

Simplifying further, we have:

2(x + 1) - x² - 1 + 2x(x² - 1) = 0

2x + 2 - x² - 1 + 2x³ - 2x = 0

2x³ - x² + 4x + 1 = 0

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Answer:

x=7 and y=19

Step-by-step explanation:

20x+8y=292

15x+8y=257

subtract everything in order to eliminate 8y

5x=35

x=7

substitute

20(7)+8y=292

8y=152

y=19