A circle has a diameter of 6ft. What is the circumference of the circle?​

x = -5

7x = 8x + 5

7x − 8x = 8x + 5 − 8x

−x = 5

-x / -1 = 5 / -1

Answer:0.9

Step-by-step explanation:

The speed of an object is defined as the ratio of distance travelled by it to the time taken. It will take a person 0.9 hours to walk end and back .

Speed is the ratio of distance and time. It is a measure of how fast or slow an object is moving. A high speed object takes less time to travel the same distance as compared to a low speed object.

Given length of island is 2.7 miles.

Speed of the person is 6 mph.

Thus total length for travelling end and back  2.7 + 2.7 =5.4 miles.

Time taken = distance/speed

Therefore, time taken by the person is given as, time is 5.4/6 = 0.9 hours.

Hence, the person will have to take 0.9 hours to walk island end and back.

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Answer:

what are the answers?

Step-by-step explanation:

Answer:

The solution on a graph is the point where two lines interesect

Step-by-step explanation:

Answer:

Step-by-step explanation:

m is number of miles

A: 45+0.21m (45 is the initial cost)

B: 28+0.38m (28 is the initial cost)

To know how in many miles the cost will be equal,

45+0.21m=28+0.38m

0.38m-0.21m=45-28

0.17m=17

m=17/0.17 = 100

So, at 100 miles the cost will be same for company A and B.

Answer: infinite solutions

Step-by-step explanation:

(−3) (4) + (−3) (−3x) = 9x + −12

−12 + 9x = 9x + −12

9x − 12 = 9x − 12

9x − 12 − 9x = 9x − 12 − 9x

−12 = −12

−12 + 12 = −12 + 12

0 = 0

Answer:

420 is the answer

Step-by-step explanation:

15/2 * 56L =

l = 15/2 = 7.5

7.5 * 56 = 420

Answer:

420

Step-by-step explanation:

Attached below

Answer:

Thats nice

Step-by-step explanation:

Answer:

x+2y+z+80=360°

Step-by-step explanation:

the sum of the interior angles in a quadrilateral is 360°, so the answer is: x+2y+z+80=360°

Answer:

Option 4 - x+2y+z+80=360degrees is the correct answer.

Step-by-step explanation:

As given in the figure, it is a quadrilateral, and as all the angles in this quadrilateral are interior angles, the sum of the interior angles of a quadrilateral will be 360 degrees.

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Answer:

51.5 m

Step-by-step explanation:

Plot the points B and C. Then substitute the points in the distance formula.

B(-35,-20)  

\(\sf x_1= -35 \ ; \ y_1=-20\)

C(-10,25)

\(\sf x_2=-10 \ ; \ y_2 = 25\)

        \(\sf \boxed{\bf Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}\)

                          \(\sf = \sqrt{(-10-[-35])^2+(25-[-20])^2}\\\\=\sqrt{(-10+35)^2+(25+20)^2}\\\\=\sqrt{(25)^2+(45)^2}\\\\=\sqrt{625+2025}\\\\=\sqrt{2650}\\=51.5 \ m\)

The probability that between 84 and 95 inclusive survive is approximately 0.6826, and the probability that fewer than 86 survive is approximately 0.1587.

Step-by-step Explanation:

(a) To find the probability that between 84 and 95 inclusive survive, we first find the mean and standard deviation of the sample. The mean is calculated by multiplying the probability of survival by the total number of patients, which is 0.9 x 100 = 90. The standard deviation is calculated using the formula: square root of (probability of not surviving x total number of patients), which gives us square root of (0.1 x 100) = 3.16.

Next, we use the Normal Distribution formula: Z = (X - mean) / standard deviation, where X is the number of patients surviving between 84 and 95 inclusive. We want to find the probability that between 84 and 95 inclusive survive, so we need to find the area under the Normal Distribution curve between the Z-scores of (83.5 - 90) / 3.16 and (95.5 - 90) / 3.16.

Using a Z-table or calculator, we find that the area between these Z-scores is 0.6826. Therefore, the probability that between 84 and 95 inclusive survive is approximately 0.6826.

(b) To find the probability that fewer than 86 survive, we can use the same Normal Distribution formula: Z = (X - mean) / standard deviation, where X is the number of patients surviving fewer than 86. We want to find the area under the Normal Distribution curve to the left of the Z-score of (85.5 - 90) / 3.16.

Using a Z-table or calculator, we find that the area to the left of this Z-score is 0.1587. Therefore, the probability that fewer than 86 survive is approximately 0.1587.

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The function f(x, y) = |x² + y2| − x² − y² is continuous at all points in its domain except at the origin (0,0)

Condition 1: The function is defined at all points (x, y) except at (0, 0), where the denominator of the expression 1 - x² - y² becomes zero.

Condition 2: To check whether the limit of the function exists as (x,y) approaches a point (a,b), we need to evaluate the limit along different paths leading to that point. If the limit is the same along all paths, then the function has a limit at that point.

Let's consider two cases:

Case 1: When (x,y) approaches (0,0) along the x-axis i.e., y=0, then we get:

lim (x,y)->(0,0) f(x,y) = lim x->0 f(x,0) = 1/(1-x²)

Case 2: When (x,y) approaches (0,0) along the y-axis i.e., x=0, then we get:

lim (x,y)->(0,0) f(x,y) = lim y->0 f(0,y) = 1/(1-y²)

The limits in both cases do not exist as they tend to infinity as x or y approaches 0. Therefore, the limit of the function as (x,y) approaches (0,0) does not exist.

Condition 3: Since the limit of the function as (x,y) approaches (0,0) does not exist, the function is not continuous at (0,0).

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I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

Brad made 20L iced tea

hope it helps you

make me brainliest plz

False. An n × n matrix that is orthogonally diagonalizable does not necessarily have to be symmetric. A matrix is said to be orthogonally diagonalizable if it can be expressed as PDP^T, where P is an orthogonal matrix and D is a diagonal matrix.

For a matrix to be symmetric, it must satisfy the condition A = A^T, where A^T denotes the transpose of A. While it is true that symmetric matrices are always orthogonally diagonalizable, the converse is not necessarily true. There exist non-symmetric matrices that can still be orthogonally diagonalized. An example of such a matrix is the following:

  [1  2]

A = [3 4]

This matrix is not symmetric, as A^T is:

  [1  3]

A^T = [2 4]

However, it is still orthogonally diagonalizable. The matrix A can be diagonalized as:

A = PDP^T, where P = [0.8507 -0.5257]

[0.5257 0.8507]

          and D = [-0.3723   0     ]

                    [ 0      5.3723]

Therefore, it is not necessary for an n × n matrix that is orthogonally diagonalizable to be symmetric.

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The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

What is derivative?

The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).

The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.

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The coefficient B 9,8 is 4. Thus, option (a) is correct.

The given wave equation is, \(u_tt=4(u_xx+u_yy),(x,y)∈D=[0,3]×[0,2],t > 0\)

Consider the boundary condition, \(u(x,y,t)=0,t > 0, (x,y\)) on the boundary of D, and initial conditions.

\(u(x,y,0)=5πsin(3πx)sin(4πy),\)

\(u_t(x,y,0)=30πsin(3πx)sin(4πy)\)

Let us first solve the equation, \(λ_mn=2π(9m²+4n²)\)

The boundary condition is \(u(x,y,t)=0, t > 0, (x,y)\)on the boundary of D.

This means, \(u(0,y,t)=0,\)

\(u(3,y,t)=0,\)

\(u(x,0,t)=0,\)

and \(u(x,2,t)=0\)

This suggests that the wave solution of u(x,y,t) will be a sum of sin functions with x and y with different coefficients.

The solution is given as, \(u(x,y,t)=∑(m=1 to infinity) ∑(n=1 to infinity)[\)\(A_mn cos(λ_mn t)+B_mn sin(λ_mn t)] sin(3mπx) sin(2nπy).\)

Applying initial conditions to solve for B_9,8.

We have,B_9,8 = 2/6 \(∫[0,2] ∫[0,3] f(x,y) sin(27πx)sin(16πy) dxdywhere, f(x,y) = u_t(x,y,0)\)

=\(30π sin(3πx) sin(4πy).\)

Therefore,B_9,8 =\((1/3) ∫[0,3] sin(27πx) dx ∫[0,2] sin(16πy) dy\)

=\((1/3)(-cos(27πx)/27π) from 0 to 3 * (-cos(16πy)/16π) from 0 to 2\)

= 4

Therefore, the coefficient B_9,8 is 4. Thus, option (a) is correct.

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The set {h| 0 ≤ h ≤ 60} describe the domain of p(h).

According to the statement

We have given that the brenton gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour.

and we have to find that the those set which describes the domain of p(h).

So,for this purpose

In this case, the domain represents the set of hours he is permitted to work

From the question, we understand that he cannot work more than 60 hours

This means that, the least number of hours to work is 0, and the highest is 60

So, the domain is 0 to 60

When represented properly, the domain of P(h) is (b)  {h| 0 ≤ h ≤ 60}.

So, The set {h| 0 ≤ h ≤ 60} describe the domain of p(h).

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

Brenton’s weekly pay, P(h) , in dollars, is a function of the number of hours he works, h. He gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour. He is not permitted to work more than 60 hours in a week. Which set describes the domain of P(h)? {h| 0 ≤ h ≤ 40} {h| 0 ≤ h ≤ 60} {P(h)| 0 ≤ P(h) ≤ 1,400} {P(h)| 0 ≤ P(h) ≤ 1,800

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Answer:

B.{h|0<h<60}

Step-by-step explanation:

The statement "the algebraic and spreadsheet formulations of a linear programming model both have advantages" is true. (Option 3)

Both algebraic and spreadsheet formulations have their own advantages and disadvantages. Algebraic models allow for a more formal mathematical representation of the problem, making it easier to see relationships between variables and constraints. They also allow for the use of powerful optimization solvers to quickly find optimal solutions.

On the other hand, spreadsheet models allow for more intuitive modeling and visualization of the problem. They also allow for quick and easy scenario analysis and sensitivity testing. Furthermore, they are more accessible to a wider range of users who may not have the technical background to create and solve complex algebraic models.

Therefore, the choice between the two formulations depends on the specific problem and the preferences and expertise of the modeler.

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Complete Question:

which of the following statements about linear programming models is true? multiple choice question.

Answer:

y = 4

Step-by-step explanation:

It doesn't exactly have a real equivalent as in y = mx + b.

It's actual equation is y = 4. All x values are permitted. y = 4 is a function: it passes the vertical line test. (Any x has only 1 y value associated with it).

The equation I gave you is really y = 0*x + b which reduces down to y = b or y = 4.

Step-by-step explanation:

y8t8tx8xigz7gdiz7ts7tzs7t

A scale factor is a contracting scale such that x < 1, where x is the scale factor.

For example, if the scale factor x is less than 1, then it must be decreasing in size, and thus be contracting in size.

But, if the scale factor is greater than 1, then it is expanding in size and increasing.

1) -5 is expanding. It is greater than one.

2) -1/4 is contracting. It is less than one.

3) 3.5 is expanding. It is greater than one.

4) 6/7 is contracting. It is less than one.

Answer:

She gets

Step-by-step explanation:

She gets an error message because when solving a linear equation, the coefficient of the variable is not meant to be the same on both sides of the equation because it will equal 0 in the end. In this equation, you will get 4x on both sides and then the last step will be 0= 3. This is an error.

Answer:

The answer is 55g+10

Step-by-step explanation:

first you use distributive property then add like terms.

Researchers typically exercise direct control over the independent variable in experimental designs.

The independent variable is the variable that is being controlled or changed in an experiment. It is referred to as "independent" because its value is determined by the researcher rather than being influenced by other variables in the study.

The purpose of manipulating the independent variable is to observe its effect on the dependent variable, which is the variable being measured or observed in response to the manipulation of the independent variable.

For example, in a study investigating the effects of a new drug on blood pressure, the independent variable would be the administration of the drug, and the dependent variable would be the measured blood pressure. The researcher would directly control the administration of the drug and then measure the changes in blood pressure that result.

In summary, the independent variable is the key factor being tested in an experiment, and researchers have direct control over its value. By manipulating this variable, researchers can determine the relationship between it and the dependent variable and ultimately draw conclusions about cause-and-effect relationships between variables.

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Answer:

The correct answer is C: CDEF=NMOP.

Step-by-step explanation:

Got it right on edge!

The congruency statement that applies is \(CD EF \cong NMOP\)

From the complete question, we have the following corresponding points

The  above highlights mean that:

Trapezoid CDEF and trapezoid NMOP are congruent

Hence, the congruency statement that applies is \(CD EF \cong NMOP\)

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Answer:

Well considering it only talks about fiji and gala apples those have got to be your answers

Step-by-step explanation:

The value of the fraction 8 / 9 when expressed as a decimal as required in the task content is; 0.88888.

It follows from the task content that the value of the fraction 8 / 9 when expressed as a decimal be determined.

Since the given fraction is; 8 / 9.

The decimal representation of the fraction is; 0.8888888±

This insinuates that the decimal is continuous.

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