A walkway forms one diagonal of a square playground. The walkway is 30 m long. How long is a side of the playground?

Answer:

a^2+6a+9

Step-by-step explanation:

Answer

2x-3

Step-by-step explanation:

given:

−4x² y+5x+5−3x+4x² y−8

=−4x² y+4x² y+5x-3x+5-8

=2x-3

hope it helps!!

Let's simplify step-by-step.

(−4x2)(y)+5x+5−3x+4x2y−8

=−4x2y+5x+5+−3x+4x2y+−8

Combine Like Terms:

=−4x2y+5x+5+−3x+4x2y+−8

=(−4x2y+4x2y)+(5x+−3x)+(5+−8)

=2x+−3

=2x-3

The piecewise function that represent the graph is A)f(x)=\(\left \{{ x^3 ,if{x < 1} \atop x,if {x\ge1}} \right.\).

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

In considering the definition of any piecewise function, the domain descriptions in the function definition must match the pieces shown in the graph.

Here, the right segment has no upper bound, so x > 1 is an appropriate description of its domain.

The left segment also has no upper bound , so x\(\ge\) 1is an appropriate description of its domain.

The one answer choice that combines these domain descriptions is

A)f(x)=\(\left \{{ x^3 ,if{x < 1} \atop x,if {x\ge1}} \right.\)

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Answer:

20

Step-by-step explanation:

I'm pretty sure its 20 but I could be wrong but 20 is my best guess.

Answer:

16 of the 33 plays none.

Step-by-step explanation:

From the list, we get that 18 students play football, 1 basketball, and 7 both.

What we need to do here is add up 18 and 1

then we subtract 19 by 7 to cancel out the people who play both

and then subtract the total number of 33 by 17,

which gives you 16.

Answer:

sin^2a+ cos^2a=1

it is derived from Pythagoras theorem

Answer:

sin^2a+ cos^2a=1

Step-by-step explanation:

Homogeneous association in a 2×2×2 contingency table refers to the situation where the association between two variables X and Y is the same across different levels of a third variable Z.

If we have equal conditional XY odds ratios, it means that the strength of the association between X and Y is the same regardless of the level of Z. This indicates homogeneous association between X and Y across different levels of Z.

Now, if we have equal conditional YZ odds ratios, it means that the strength of the association between Y and Z is the same regardless of the level of X. Since X and Y are interchangeable in this context, this implies that the association between X and Y is also the same across different levels of Z.

Thus, we can conclude that equal conditional XY odds ratios are equivalent to equal conditional YZ odds ratios, demonstrating that homogeneous association is a symmetric property in this case.

In summary, in a 2×2×2 contingency table, if we have equal conditional XY odds ratios, it implies equal conditional YZ odds ratios, showing that homogeneous association is a symmetric property.

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Answer:

I believe so, it makes the most sense out of all the answers because there are 6 on the left and w with 2 more on the right. Good job!

The steady-state solution of the heat conduction equation refers to the temperature distribution that remains constant over time. This occurs when the heat flow into a system is balanced by the heat flow out of the system.

To find the steady-state solution of the heat conduction equation, follow these steps:

1. Set up the heat conduction equation: The heat conduction equation describes how heat flows through a medium and is typically given by the formula:

  q = -k * A * dT/dx,

  where q represents the heat flow, k is the thermal conductivity of the material, A is the cross-sectional area through which heat flows, and dT/dx is the temperature gradient in the direction of heat flow.

2. Assume steady-state conditions: In the steady-state, the temperature does not change with time, which means dT/dt = 0.

3. Simplify the heat conduction equation: Since dT/dt = 0, the equation becomes:

  q = -k * A * dT/dx = 0.

4. Apply boundary conditions: Boundary conditions specify the temperature at certain points or surfaces. These conditions are essential to solve the equation. For example, you might be given the temperature at two ends of a rod or the temperature at the surface of an object.

5. Solve for the steady-state temperature distribution: Depending on the specific problem, you may need to solve the heat conduction equation analytically or numerically. Analytical solutions involve techniques like separation of variables or Fourier series expansion. Numerical methods, such as finite difference or finite element methods, can be used to approximate the solution.

It's important to note that the exact method for solving the heat conduction equation depends on the specific problem and the boundary conditions given. However, the general approach is to set up the heat conduction equation, assume steady-state conditions, simplify the equation, apply the boundary conditions, and solve for the steady-state temperature distribution.

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Answer:

y=-12x-x

Step-by-step explanation:

y=mx + b

m=slope

m = -12

slope = rise / run -12/1

Answer:  y = (-4/3)*sqrt(2/3)

This is the same as writing \(y = -\frac{4}{3}\sqrt{\frac{2}{3}}\)

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

Explanation:

The phrasing "where the absolute value of the slope is minimized" is an interesting way of saying "the tangent slope is 0". This is because absolute values are never negative, so the smallest it can get is 0.

Your teacher has given you

y = x^3 - 2x

which differentiates into

dy/dx = 3x^2 - 2

after using the power rule

The derivative function lets us determine the slope of the tangent. The slope is the dy/dx value. Since we want a slope of 0, we'll set 3x^2-2 equal to zero and solve for x. So you have the correct idea, but you won't involve the second derivative.

dy/dx = 0

3x^2 - 2 = 0

3x^2 = 2

x^2 = 2/3

x = sqrt(2/3)

Notice how I'm ignoring the negative version of this root. This is due to the fact that \(x \ge 0\)

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

Now plug this x value back into the original equation to find its corresponding y coordinate.

y = x^3 - 2x

y = x(x^2 - 2)

y = sqrt(2/3)*( 2/3 - 2 )

y = sqrt(2/3)*( -4/3 )

y = (-4/3)*sqrt(2/3)

Note that x = sqrt(2/3) leads to x^2 = 2/3 after squaring both sides.

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

Therefore, the equation of this tangent line is y = (-4/3)*sqrt(2/3)

All horizontal lines are of the form y = k, for some constant k. This constant value is basically what number you want the horizontal line to go through on the y axis. That number would be (-4/3)*sqrt(2/3).

The expression can be expanded as a sum of three logarithms:

\(log4(xy^5 Z^4) = log4(x) + 5 log4(y) + 4 log4(Z)\)

What is the logarithms?

Logarithms are mathematical functions that help to simplify the representation of very large or very small numbers. They are the inverse functions of exponential functions.

Using the properties of logarithms, we can expand the expression as follows:

\(log4(xy^5 Z^4) = log4(x) + log4(y^5) + log4(Z^4)\)

Now, we can simplify each logarithm using the property that log\((a^b\)) = b log(a):

\(log4(x) + log4(y^5) + log4(Z^4) = log4(x) + 5 log4(y) + 4 log4(Z)\)

Hence, the expression can be expanded as a sum of three logarithms:

\(log4(xy^5 Z^4) = log4(x) + 5 log4(y) + 4 log4(Z)\)

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Answer:

55 adult tickets were sold on Friday.

Step-by-step explanation:

A linear system will be used to model the system.

Let c be the number of child tickets and a be the number of adult tickets

Then according to given statements

\(a+c = 133\ \ \ \ Eqn\ 1\\9.50a+5.20c = 928.10\ \ \ Eqn\ 2\)

From equation 1

\(a = 133-c\)

Putting this in equation 2

\(9.50(133-c)+5.20c = 928.10\\1263.5-9.50c+5.20c=928.10\\1263.5-4.3c = 928.10\\-4.3c = 928.10-1263.5\\-4.3c=-335.4\\\frac{-4.3c}{-4.3} = \frac{-335.4}{-4.3}\\c = 78\)

Putting c = 78 in equation 1

\(a+78 = 133\\a = 133-78\\a = 55\)

Hence,

55 adult tickets were sold on Friday.

Given:

The number of envelopes left to address by Sani is at most 51 .

And Messages > 10 to have unlimited plan cheaper than paying for each messages.

At least numbers of envelopes Sani has = 68

Number of envelops he addressed = 17

Let x be the number of envelopes that Sani has left to address.

Then we have,

x ≤ 68 - 17

Simplifying this inequality, we get,

x ≤ 51

Sani has at most 51 envelopes left to address.

Cost per text message send or received by Nadine = $0.5

Cost pf unlimited number of text message send or received = $5

Let m be the number of messages Nadine sends or receives.

Then the cost of paying for each message is,

0.5m

The cost of the unlimited plan is $5.0.

The number of messages m such that,

5.0 ≤ 0.5m

Simplifying this inequality, we get,

⇒ 10 ≤ m

If Nadine sends or receives more than 10 messages, the unlimited plan is cheaper than paying for each message.

So the solution to the inequality is m > 10.

Therefore, number of message Sani left to address is at most 51 envelopes .

And to have unlimited plan cheaper than paying for each messages for Nadine is m > 10.

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The calculated surface area of the figure is 152 square feet

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

The triangular prism

The surface  area is calculated as

SA = hp + 2B

Where

h = height

p = perimeter of base

B = base area

From the figure, we have

B = 1/2 * 6 * 4 = 12

p = 5 + 5 + 6 = 16

h = 8

So, we have

SA = 8 * 16 + 2 * 12

Evaluate

SA = 152

Hence, the surface area is 152 square feet

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Answer:

the answer is 7^12

Step-by-step explanation:

7^14 ÷ 7^2

14 - 2

12

Therefore, the order-reversed integral is:

∫ba∫dcsin(x^2) dydx, where a= 0, b= 3, c= √(3y), and d= √(9y).

We have:

∫30∫3ysin(x^2) dxdy

To reverse the order of integration, we need to express the limits of integration as inequalities of x and y:

3y ≤ x^2 ≤ 9y

√(3y) ≤ x ≤ √(9y)

0 ≤ y ≤ 1

So, we have:

∫30∫√(9y)√(3y)sin(x^2) dxdy

Integrating with respect to x first, we get:

∫√(9y)√(3y) [-cos(x^2)/2] |_0^(√(3y)) dy

= ∫30 [-cos(3y)/2 + cos(y)/2] dy

= [-sin(3y)/6 + sin(y)/2] |_0^3

= (-sin(9)/6 + sin(3)/2) - (0 - 0)

= (-sin(9)/6 + sin(3)/2)

Therefore, the order-reversed integral is:

∫ba∫dcsin(x^2) dydx, where a= 0, b= 3, c= √(3y), and d= √(9y).

Note: We can also check the answer by evaluating the original integral and comparing it with the answer obtained by reversing the order of integration.

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Answer:

$12.50

Step-by-step explanation:

$100-$25-$50=$25

$25 / 2 = $12.50

Answer:

$12.50

the answer is b the second one

Answer:

( -2 , 4 ) --- ( -2 , 1 ) ------ ( -4 , 1 )

Step-by-step explanation:

Answer:

(-2,1) (-2,4) (-4,1)

Step-by-step explanation:

Possibly one of the easiest ways to figure this out is to take on of the points and count how many points go back to the y axis, in this case it goes back 2. Since its goes back two, on the other side we also need to go back two. Do this with all of the points. If you still don;t understand please don't hesitate to ask.

Answer:

1(-10-6v)

-10-6v

I think that is the answer for that question

To solve the problem we must know about Z-Score.

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,

\(Z = \dfrac{X- \mu}{\sigma}\)

Where Z is the Z-score,

X is the data point,

μ is the mean and σ is the standard variable.

The life span of an appliance that has a z-score of –3 is 24 months.

Given to us

The life span of the appliance can be calculated using the Z-score formula,

\(Z = \dfrac{X- \mu}{\sigma}\)

Substitute the values,

\(-3 = \dfrac{X- 48}{8}\\\\-3 \times 8 = X - 48\\\\-24+48=X\\\\X = 24\ months\)

Hence, the life span of an appliance that has a z-score of –3 is 24 months.

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Answer:

b: 24 months

Step-by-step explanation:

Answer:

x = 39

Step-by-step explanation:

∠JKL and ∠LKM are complementary angles meaning they have a sum of 90° Knowing this, we can create an equation to solve for x.

2x - 14 + 26 = 90

2x + 12 = 90

2x = 78

x = 39

The sum of the reciprocals of all the positive factors of the perfect number 28 is 2.

A factor is a number that divides another number by itself and leaves no residue. In other words, if multiplying two whole numbers yields a product, the numbers being multiplied are factors of the result since the product is divisible by them. Factors may be found using two methods: multiplication and division. Factors are numbers that may be multiplied together to get another number.

Here,

The sum of the reciprocals of all the perfect number 28's positive elements is 2.

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Answer:

185.714% increase

Step-by-step explanation:

Solution:

Calculate percentage change

from V1 = 14 to V2 = 40

(2−1)|1|×100

=(40−14)|14|×100

=2614×100

=1.85714×100

=185.714%change

=185.714%increase

add the question first. you dont have to give me points just show me what it is

Ada used 1.46 pints of blue paint to paint her bedroom walls.

The problem states that Ada used a total of 7.3 pints of white and blue paint combined to paint her bedroom walls. It also states that 4/5 of this amount is white paint.

So, we can first find the amount of white paint Ada used by multiplying the total amount of paint used (7.3 pints) by 4/5:

White paint used = 4/5 * 7.3

                = 5.84 pints

Now, since Ada used a total of 7.3 pints of paint, we can find the amount of blue paint used by subtracting the amount of white paint used from the total amount of paint used:

Blue paint used = Total paint used - White paint used

              = 7.3 - 5.84

              = 1.46 pints

Therefore, Ada used 1.46 pints of blue paint to paint her bedroom walls.

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In the First quadrants and the third quadrants have the same sign of the x-coordinates and the y-coordinates which is I (+; +), III (−; −).

According to the statement

we have to find that the in In which quadrants do the x-coordinates and the y-coordinates have the same sign.

For this purpose, firstly we know that the

Quadrants are The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants, each bounded by two half-axes. These are often numbered from 1st to 4th and denoted by Roman numerals.

And according to the Cartesian system, we know that the

First quadrants have a sign :

I (+; +),

And second quadrants have a sign:

II (−; +),

And third quadrants have a sign:

III (−; −),

and Fourth quadrants have a sign:

IV (+; −).

So, In the First quadrants and the third quadrants have the same sign of the x-coordinates and the y-coordinates which is I (+; +), III (−; −).

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