Solve for x 5z-8=-28

Answer:

the distance is 8

Step-by-step explanation:

Answer:

8 units

Step-by-step explanation:

Simple, count from -3 to 5

An alternative way to find the answer is to add the absolute values of the points.

For example,

|-3| = 3    So, |-3| + |5| is 8

The exterior angle of the given triangle is X. The value of the angle X is 55°.

Triangle -

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes.

types of triangle

The exterior angle of a triangle is equal to the sum of two interior opposite angles.

X = 21° + 34°

X = 55°

The exterior angle of the given triangle is X. The value of the angle X is 55°.

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If for every ordered pair (m,n) is in ℤ×ℤ, "m P n" ⇔ m and n have a common prime factor , then yes "10 P 35" because 10 and 15 share a common prime factor of 5.

The Relation "P" on ℤ is defined as follows: For every ordered pair (m, n) in ℤ ✕ ℤ, "m P n" if and only if m and n have a common prime factor.

To determine whether 10 P 15, we need to check if 10 and 15 have a common prime factor.

The prime factors of 10 are 2 and 5, whereas the prime factors of 15 are 3 and 5.

So , 10 and 15 share a common prime factor of 5.

Therefore , we can conclude that "10 P 15".

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The given question is incomplete , the complete question is  

Define a relation "P" on ℤ as follows: for every ordered pair (m, n) is in ℤ×ℤ, "m P n" ⇔ m and n have a common prime factor. Is "10 P 35"?

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

The monthly net income to keep housing a 30% of his budget is $7000.

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Cost of monthly housing per month = $2100

$2100 = 30%

Monthly income = 100%

30% = 2100

Multiply 100/30 on both sides.

100/30 x 30% = 100/30 x 2100

100% = 7000

Thus,

The monthly net income to keep housing a 30% of his budget is $7000.

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The absolute minimum value of f(x, y) is -16, occurring at the points (7, 0) and (7, 10). Therefore, the minimum value is -16.

To find the absolute minimum and absolute maximum of the function f(x, y) = 6 - 4x + 7y on the closed triangular region with vertices (0, 0), (7, 0), and (7, 10), we need to evaluate the function at the critical points and the boundary of the region.

Critical points: To find critical points, we need to take the partial derivatives of f(x, y) with respect to x and y and set them equal to zero.

∂f/∂x = -4 = 0

∂f/∂y = 7 = 0

Since there are no solutions to these equations, there are no critical points within the region.

Boundary of the region: We need to evaluate the function at the vertices and on the sides of the triangle.

Vertices:

f(0, 0) = 6 - 4(0) + 7(0) = 6

f(7, 0) = 6 - 4(7) + 7(0) = -16

f(7, 10) = 6 - 4(7) + 7(10) = 60

Sides:

Side 1: From (0, 0) to (7, 0)

y = 0

f(x, 0) = 6 - 4x + 7(0) = 6 - 4x

The minimum occurs at x = 7 with a value of -16.

Side 2: From (0, 0) to (7, 10)

y = (10/7)x

f(x, (10/7)x) = 6 - 4x + 7((10/7)x) = 6 - 4x + 10x = 6 + 6x

The minimum occurs at x = 0 with a value of 6.

Side 3: From (7, 0) to (7, 10)

x = 7

f(7, y) = 6 - 4(7) + 7y = -22 + 7y

The minimum occurs at y = 0 with a value of -22.

From the above evaluations, we can conclude:

The absolute minimum value of f(x, y) is -16, occurring at the points (7, 0) and (7, 10).

The absolute maximum value of f(x, y) is 60, occurring at the point (7, 10).

Therefore, the minimum value is -16.

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Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Therefore, the values of k for which the function y cos(kt) satisfies the differential equation 49y" - 100y = 0 are k = 10/7 and k = -10/7. Therefore, for every value of A and B, the family of functions y = A sin(kt) + B cos(kt) is also a solution to the given differential equation.

(a) To find the values of k for which the function y cos(kt) satisfies the differential equation 49y" - 100y = 0, we substitute y = cos(kt) into the differential equation and solve for k:

\(49y" - 100y = 49(cos(kt))" - 100(cos(kt)) = -49k^2 cos(kt) - 100cos(kt)\)

For this expression to equal zero, we need\(-49k^2 cos(kt) - 100cos(kt) =\)0.

Factoring out cos(kt), we have cos(kt)\((-49k^2 - 100) = 0.\)

Since cos(kt) cannot be zero for all values of t, we focus on the second factor: \(-49k^2 - 100 = 0.\)

Solving this quadratic equation, we get:

\(k^2 = -100/49\)

Taking the square root of both sides (considering both positive and negative roots), we have:

k = ±10/7

(b) To verify that every member of the family of functions y = A sin(kt) + B cos(kt) is also a solution to the differential equation, we substitute y = A sin(kt) + B cos(kt) into the differential equation and simplify:

y = A sin(kt) + B cos(kt)

y' = Ak cos(kt) - Bk sin(kt)

\(y" = -Ak^2 sin(kt) - Bk^2 cos(kt)\)

Substituting these expressions into the differential equation 49y" - 100y, we have:

=\(49(-Ak^2 sin(kt) - Bk^2 cos(kt)) - 100(A sin(kt) + B cos(kt))\\ -49Ak^2 sin(kt) - 49Bk^2 cos(kt) - 100A sin(kt) - 100B cos(kt)\)

Rearranging the terms, we get:

\((-49Ak^2 - 100A)sin(kt) + (-49Bk^2 - 100B)cos(kt)\)

Comparing this expression with the right-hand side of the differential equation, we find:

A solution for the differential equation is given by:

\(49y" - 100y = (-49Ak^2 - 100A)sin(kt) + (-49Bk^2 - 100B)cos(kt) = 0\)

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The value of the expression (a[1] + a[3]) is "BD". In this array declaration and initialization, the variable "a" is an array of type String that contains four elements: "A", "B", "C", and "D". The square brackets notation is used to access specific elements of the array.

In this case, a[1] refers to the second element of the array (remember that array indices start at 0), which is "B". Similarly, a[3] refers to the fourth element of the array, which is "D".

Therefore, the expression (a[1] + a[3]) concatenates the strings "B" and "D" to form the string "BD". This is the final value of the expression.

It's worth noting that the other options listed in the question ("AC", "ABC", and "CD") are not correct. "AC" is the result of concatenating the first and third elements of the array (a[0] + a[2]). "ABC" is the result of concatenating all four elements of the array (a[0] + a[1] + a[2] + a[3]). And "CD" is the result of concatenating the last two elements of the array (a[2] + a[3]).

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The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

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

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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Given :

The cost of wings = $2.53 per pound

Customers who pay cash receive a discount of $0.02 per pound.

so, the cost per pound after the discount =

so, the answer is : $2.51

Answer:

here

Step-by-step explanation:

Answer:

Since you didn't list the statements, I'll just list some true statements.

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

There are 17 students in this class.

Majority of students voted for a hamster.

Snake was the least voted for.

the volume of the cylinder is 572.27 cm³

Given:

radius of the cylinder = 4.5cm

height = 9cm

To get the volume of the cylinder, we will use the formula:

To the nearest hundredth, the volume of the cylinder is 572.27 cm³

Answer so i think 60

Step-by-step explanation:

well the square is 90

Class A and Class C sell 187.5 altogether

Represent the classes with their initials

So, we have

B = 2A

C = 3/4 * B = 3/4 * 2A

C = 3/2A

The total number of bars they had initially was

A + B + C = Total

A + 2A + 3/2A = Total

Total = 4.5A

The average number of bars the 3 classes had initially was 225,

So

4.5A = 225

A = 75

For Class A and Class C together, we have

Class A and C = A + 3/2A

Class A and C = 75 + 3/2 * 75

Class A and C = 187.5

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Those methods involving the collection, presentation, and characterization of a set of data in order to properly describe the various features of that set of data are called descriptive statistics.

Descriptive statistics:- Descriptive statistics helps to describe, summarize and organize the set of data efficiently and in an informative way, so that it'll be easier to make conclusion about the data in order to make rational decisions. This method describes the characteristics of a dataset.

Example:- The average test score for the students of a particular class, gives descriptive sense of the typical scores.

There are three types of descriptive statistics-

Thus we can conclude that, those methods involving the collection, presentation, and characterization of a set of data in order to properly describe the various features of that set of data are called descriptive statistics.

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Answer:

l

Step-by-step explanation:

l

The distribution of Z is Rayleigh distributed and that the distribution of Z² is exponentially distributed when X and Y are independent, zero-mean Gaussian random variables with variance σ².

Let X and Y be independent, zero-mean Gaussian random variables with variance σ². We will prove that the distribution of Z = X² + Y² is Rayleigh distributed and that the distribution of Z² is exponentially distributed.

First, we will find the cumulative distribution function (CDF) of Z. Let FZ(z) be the CDF of Z. Then:

FZ(z) = P(Z ≤ z) = P(X² + Y² ≤ z)

Since X and Y are independent, we can express the joint probability density function (PDF) of X and Y as:

fXY(x,y) = (1/(2πσ²)) * exp(-(x²+y²)/(2σ²))

Using this PDF, we can calculate the CDF of Z as follows:

FZ(z) = P(X² + Y² ≤ z)

= ∬fXY(x,y)dxdy over the region x² + y² ≤ z

= (1/(2πσ²)) * ∬exp(-(x²+y²)/(2σ²))dxdy over the region x² + y² ≤ z

Making a change of variables to polar coordinates, we get:

FZ(z) = (1/(2πσ²)) * ∫[from 0 to 2π]∫[from 0 to √z]re^(-r²/(2σ²))drdθ

= (1/(2σ²)) * ∫[from 0 to √z]re^(-r²/(2σ²))dr * ∫[from 0 to 2π]dθ

Simplifying the integral with respect to θ, we get:

FZ(z) = πzσ^-2 * ∫[from 0 to √z]re^(-r²/(2σ²))dr

Let u = r²/(2σ²), then du/dr = r/σ², and we get:

FZ(z) = πzσ^-2 * ∫[from 0 to z/(2σ²)]e^-udu

= 1 - e^(-z/(2σ²))

Thus, the CDF of Z is given by the Rayleigh distribution with parameter σ, i.e., Z ~ Rayleigh(σ).

Next, we will find the distribution of Z². Let FZZ(z) be the CDF of Z². Then:

FZZ(z) = P(Z² ≤ z) = P(X² + Y² ≤ sqrt(z))

Using the same approach as above, we can calculate the CDF of Z² as:

FZZ(z) = 1 - e^(-sqrt(z)/(2σ))

Taking the derivative of FZZ(z) with respect to z, we get the PDF of Z² as:

fZZ(z) = (1/(4σ²)) * z^(-1/2) * e^(-sqrt(z)/(2σ))

This is the PDF of an exponential distribution with parameter λ = 1/(2σ²).

Therefore, we have proved that the distribution of Z is Rayleigh distributed and that the distribution of Z² is exponentially distributed when X and Y are independent, zero-mean Gaussian random variables with variance σ².

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Answer:

Question: 1

 Subtract 9 from each side.

 Divide each side by 2

 Add 11 to each side.

 Divide each side by 4

Question: 2

10x +2 = 32

10x = 30

x = 3

Question: 3

19 -4c = 17

-4c = -2

c = 1/2 or 0.5

Question 4:

1.1x + 1.2x -5.4 = -10

2.3x = -4.6

x = -2

Question: 6

6(5 − 8v) + 12 = −54

6( 5 - 8v ) = -66

( 5 - 8v ) = -11

-8v = -16

v = 2

Step-by-step explanation:

Answer:8/3x

Step-by-step explanation:tell if this didnt work

Answer:

i.) 66% of the earth is covered in water

ii.) 33% is continental

Step-by-step explanation:

Answer:

My reasonable answer would be that it was a translation and then dilation

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

Given that we have the graph of f(x), we want to see which one is the graph of its inverse. i just had that question and i got a 100 on it

Answer:

a

Step-by-step explanation:

calculator

Answer:

Step-by-step explanation:

The experimental probability of the cube landing on three is 1/10.

Answer:

If you want to simply it, the answe is 7 cm to 5 cm

Step-by-step explanation:

Find a GCF which is 7 in this case, and divide both numbers by the GCF