Name the property in the expression: a+b=b+a

Answer:

127 degrees

Step-by-step explanation:

Interior Congruent Angles

Also if it asks for angle 4 or 5, just know on one side like 6 and 4, they must add up to 180 degrees, so that males angle 4, 53 degrees.

The new statue, which is three times as large in every dimension, will weigh 675 pounds if Ted uses bronze again.

If Ted plans to build a larger statue that is three times as large in every dimension, we can use the concept of scaling factors to determine the weight of the new statue.

Since the new statue will be three times as large in every dimension, its height, width, and depth will all be three times that of the original statue.

The original statue weighs 25 pounds and is 2 feet high, we can calculate the weight of the new statue as follows:

Scaling factor for height: 3

Scaling factor for width: 3

Scaling factor for depth: 3

The weight of an object is typically proportional to its volume. Since the scaling factor for each dimension is 3, the volume of the new statue will be (3^3) = 27 times that of the original statue.

Therefore, the weight of the new statue will be 27 times the weight of the original statue:

Weight of new statue = 27 * 25 pounds

Weight of new statue = 675 pounds

Hence, the new statue, which is three times as large in every dimension, will weigh 675 pounds if Ted uses bronze again.

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Based on the line of best fit, the approximate maximum depth of a lake that has 31 miles of shoreline is; 142.968 ft

The line of best fit is defined as a straight line which is drawn to pass through a set of plotted data points to give the best and most approximate relationship that exists between such data points.

Now, we are given a table of values that shows the total shoreline in miles which will be represented on the x-axis and then the maximum depth of several area lakes which will be represented on the y-axis.

However, when the geologist found the graph, she arrived at an equation of best fit as;

y = 4.26x + 10.908.

Thus, for 31 miles of shoreline, the approximate maximum depth is;

Approximate maximum depth = 4.26(31) + 10.908.

Approximate maximum depth = 142.968 ft

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Answer:

143 feet

Step-by-step explanation:

its technically 142 and change but edmentum rounds up

Answer:

-9

Step-by-step explanation:

Answer:

y=1/2x+3

Step-by-Step Explanation:

I think y=1/2x+3 would be your equation. I hope it's right.

\(A(0,3) \ \ and \ \ B(2,4)\)

\(\dfrac{y - y_{B}}{y_{A} - y_{B}} = \dfrac{x - x_{B}}{x_{A} - x_{B}} \iff \dfrac{y - 4}{3 - 4} = \dfrac{x - 2}{0 - 2}\\\)

\(\dfrac{y - 4}{-1} = \dfrac{x - 2}{- 2} \iff 2(y-4) = x-2\\\)

\(2y-8 = x-2 \iff 2y = x-2+8\)

\(2y = x + 6 \ \Big|:2 \implies y = \dfrac{1}{2}x + 3\)

\(or \ x - 2y + 6 = 0\)

When f(x) = x² becomes f'(x) = x² - 3, the function will move 3 units downward. The correct option is the second option - it moves 3 units downward. The graphs of the functions are shown below.

From the question, we are to determine what happens when the given function becomes the other function

The given function is

f(x) = x²

We are to determine what happens when the function becomes f'(x) = x² - 3

To determine what will happen, we will substitute x = 0 into the functions

f(x) = x²

When x = 0

f(0) = 0²

f(0) = 0

For the function f'(x) = x² - 3

f'(0) = (0)² - 3

f'(0) = 0 - 3

f'(0) = -3

Hence, this means the function will move 3 units downward.

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The error term is a random variable with an expected value of zero.2. The error term is normally distributed

The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.

The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.

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Answer:

Step-by-step explanation:

so your weights about 500 pounds thats pretty big. take her to a doctor .

heres a doctor i know

Based on the properties of rectangles, the angles and the side lengths are KN = 11 and NLK = 32

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

JN = 2x + 7, LN = 6x - 1

NKJ = 58 degrees

The diagonals or a rectangle are equal

So, we have

2x + 7 = 6x - 1

Evaluate the like terms

4x = 8

Divide

x = 2

So, we have

KN = 2 * 2 + 7

KN = 11

Adjacent angles in this case add up to 90 degrees

This gives

NLK = 90 - 58

Evaluate

NLK = 32

Hence, the measure of the angle is 32 degrees

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You can solve this equation by converting to standard form and using the formula for roots of quadratic equation.

The solution to given equation equation is \(x = \dfrac{-1 + \sqrt{37}}{2}\)

The standard form of quadratic equation is given by:

\(ax^2 + bx + c =0\)

The roots of this equation is obtained by:

\(x =\dfrac{-b \pm \sqrt{b^2 -4ac }}{2a}\)

We can take square on both sides to remove the root.

\(\sqrt{x+10} -1 =x\\ \sqrt{x+10} = x + 1\\ \\ \text{Taking square on both sides}\\ \\ x + 10 = (x + 1)^2\\ x + 10 = x^2 + 1 + 2x\\ x^2 + x - 9 = 0\\ \)

Know that we took square.

Also know that \((\sqrt{x+10})^2 = (-\sqrt{x+10})^2 = x+10\\ \) This is the reason that both roots we will obtain won't belong to our quadratic equation we obtained. Thus, we will have to check which root is correct solution of the obtained quadratic equation.

Now, comparing with standard form, we get a = 1, b = 1, c = -9, thus:
\(x = \dfrac{-1 \pm \sqrt{1 + 36}}{2} = \dfrac{-1\pm\sqrt{37}}{2}\)

x = 2.54 or x = -3.54

Putting both values, we get:

For x  =2.54:

\(\sqrt{x+10} -1 =x\\ \sqrt{2.54+10}-1 = 2.54\\ 2.5411 \approx 2.54\)

For x = -3.54

\(\sqrt{x+10} -1 =x\\\sqrt{-3.54+10}-1 = -3.54\\1.5411 \neq -3.54\)

Thus, the solution to given equation equation is \(x = \dfrac{-1 + \sqrt{37}}{2}\)

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Answer:

C- 302.57

Step-by-step explanation:

Answer:

sin 105 = sin (45 + 60) = sin 45 cos 60 + cos 45 sin 60, or

                                    = (1 / √2)(1 / 2)        + (1 / √2)(√3 / 2)

                                         1 + √3

                                    = -------------

                                           2√2

Step-by-step explanation:

Answer:

C. 5n+7

You're buying 5 shirts, so that'll be 5n and there's a 7 dollar tax which means we add on the 7 dollar tax. So it's C. 5n+7

Answer:

6

Step-by-step explanation:

x + 2x + 6x = 54

9x = 54

x = 6

yeah-ya..... right?

In a supermartingale , the current variable (\(X_{t}\)) is an overestimate for the upcoming \(X_{t + 1}\).

A sequence of random variable (\(X_{t}\)) adapted to a filtration (\(F_{t}\)) is a martingale (with respect to (\(F_{t}\))) if  all the following holds for all t :

(i)   E|\(X_{t\)| < ∞

(ii) E[ \(X_{t + 1}\)|\(F_{t}\)] = \(X_{t}\)

If instead of condition (ii) we have E [\(X_{t + 1}\)|\(F_{t}\)]  ≥ \(X_{t}\) for all t , we then say that (\(X_{t}\))  is submartingale with respect to (\(F_{t}\)).

If instead of condition (ii) we have E [ \(X_{t + 1}\) | \(F_{t}\)] ≤\(X_{t}\) for all t , we then say that (\(X_{t}\)) is supermartingale with respect to (\(F_{t}\)).

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Answer:

She started playing the game at 11:30.

Step-by-step explanation:

45 + 45 = 1hr 30 mins

5:00 - 1hr 30 minutes = 3:30

3:30 - 2hrs = 1:30

1:30 - 2hrs = 11:30

Answer:

d = 43

Step-by-step explanation:

Answer:

Here is the full answered document ;)

Step-by-step explanation:

The coordinates of the bases are:

a) Home plate: (0, 0)

b) First base: ( 90 , 0 )

c) Second base: ( 90 , 90 )

d) Third base: ( 0 , 90 )

"If the baseball diamond is m × m feet then the first base is 90 degrees to the right and 'm' feet away."

"If the baseball diamond is m × m feet then the third base is 90 degrees to the left and 'm' feet away."

"If the baseball diamond is m × m feet then the first base is in between the first and the third base and 'm' feet away from the first and the third base."

For given question,

We have been given the dimensions of the baseball field.

The baseball diamond is 90 feet by 90 feet.

We need to find the coordinates of the coordinates of the three bases.

The coordinates of the first base would be (90, 0)

The coordinates of the third base would be (0, 90)

And the coordinates of the second base would be (90, 90)

Also, the graph of the coordinates for the three bases is as shown below.

Therefore, a) Home plate: (0, 0)

b) First base: ( 90 , 0 )

c) Second base: ( 90 , 90 )

d) Third base: ( 0 , 90 )

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The cost for  \(1\frac{3}{4}\) pounds of milk chocolate is $ 6.16 more than the cost for  \(1\frac{3}{4}\) pounds of caramels.

Two or more expressions with an Equal sign is called as Equation.

The cost of each pounds of Caramels = $ 9.28,

So, the cost of \(1\frac{3}{4}\)  pounds of caramels =  \(1\frac{3}{4}\)×9.28

=7/4×9.28=$16.24

The cost of each pounds of milk chocolate = $ 12.80

So, the cost of \(1\frac{3}{4}\)  pounds of milk chocolate = \(1\frac{3}{4}\)  ×12.8

=$22.24

∵ 22.4 > 16.24,

the cost of  \(1\frac{3}{4}\) pounds of milk chocolate  > The cost of   \(1\frac{3}{4}\)pounds of caramels

22.4-16.24=6.16

Hence, the cost for  \(1\frac{3}{4}\) pounds of milk chocolate is $ 6.16 more than the cost for  \(1\frac{3}{4}\) pounds of caramels.

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The area of prism in each figure is:

Figure 1:

The surface area of the prism can be calculated using the formula:

Surface Area = \(2(ab + bc + ac) + 2(\frac{1}{2} )(w)(c)\)

Given dimensions: \(a = 6 \ ft, b = 8 \ ft, c = 10 \ ft, and \ w = 5 \ ft\)

Plugging in the values: Surface Area =

\(2(6 \times 5 + 8 \times 5 + 6 \times 10) + 2(\frac{1}{2} )(5)(10)\\= 2(30 + 40 + 60) + 2(\frac{1}{2} )(5)(10)\\= 200 ft^{2}\)

Figure 2:

The second prism is a cube with all sides measuring \(9\) inches, we can find its surface area using the formula for the surface area of a cube (a special case of a prism): \(\text{Surface Area} = 6 \times \text{side length}^2\)

Given that all sides of the square prism measure \(9\) inches:

\(\text{Surface Area} = 6 \times (9)^2= 6 \times 81= 486 \text{ square inches}\)

Figure 3: \(\text{Surface Area} = 2 \times (\text{length} \times \text{width} + \text{length} \times \text{breadth} + \text{width} \times \text{breadth})\)

Given the dimensions: \(width = 2.2 \ m, \ length = 5.8 \ m, \ and \ breadth = 3.7 \ m\)

= \(\text{Surface Area} = 2 \times (5.8 \times 2.2 + 5.8 \times 3.7 + 2.2 \times 3.7)\)

Calculating the expression:

\(\text{Surface Area} = 2 \times (12.76 + 21.46 + 8.14)\\= 2 \times 42.36\\= 84.72 , \text{m}^2\)

The surface area of the rectangular prism is \(84.72 , \text{m}^2\).

Figure 4:

The formula for the surface area of a rectangular prism is given by:

\(\[ \text{Surface Area} = 2lw + 2lh + 2wh \]\)

where \(\( l \)\) represents the length, \(\( w \)\) represents the width, and \(\( h \)\) represents the height of the prism.

Substituting the given values:

\(\[ \text{Surface Area} = 2(8\, \text{cm})(7\, \text{cm}) + 2(8\, \text{cm})(6\, \text{cm}) + 2(7\, \text{cm})(6\, \text{cm}) \]\)

Simplifying the expression:

\(\[ \text{Surface Area} = 112\, \text{cm}^2 + 96\, \text{cm}^2 + 84\, \text{cm}^2 \]\)

The surface area of the prism is \(\( 292\, \text{cm}^2 \)\).

Figure 5:

The formula for the surface area of a square prism is given by:

\(\[ \text{Surface Area} = 2a^2 + 4a^2 \]\)

where \(\( a \)\) represents the length of each side of the square prism.

Substituting the given value:

\(\[ \text{Surface Area} = 2(5\, \text{ft})^2 + 4(5\, \text{ft})^2 \]\)

\(\[ \text{Surface Area} = 2(25\, \text{ft}^2) + 4(25\, \text{ft}^2) \]\)

The surface area of the square prism is \(\( 150\, \text{ft}^2 \)\).

Figure 6:

To find the surface area of a prism, we need to consider the area of each face and then sum them up.

The prism has five faces: two triangular faces, two rectangular faces, and one parallelogram face.

The area of each triangular face is given by:

\(\[ \text{Area of Triangle} = \frac{1}{2} \times \text{base} \times \text{height} \]\)

Substituting the values:

\(\[ \text{Area of Triangle} = \frac{1}{2} \times 3 \, \text{m} \times 3.7 \, \text{m} \]\)

The area of each rectangular face is given by:

\(\[ \text{Area of Rectangle} = \text{length} \times \text{width} \]\)

Substituting the values:

\(\[ \text{Area of Rectangle} = 3 \, \text{m} \times 3.2 \, \text{m} \]\)

The area of the parallelogram face is given by:

\(\[ \text{Area of Parallelogram} = \text{base} \times \text{height} \]\)

Substituting the values:

\(\[ \text{Area of Parallelogram} = 3 \, \text{m} \times 3.7 \, \text{m} \]\)

The surface area of the prism is the sum of the areas of all five faces:

\(\[ \text{Surface Area} = 2 \times (\text{Area of Triangle}) + 2 \times (\text{Area of Rectangle}) + (\text{Area of Parallelogram}) \]\)

Substituting the calculated values:

\(\[ \text{Surface Area} = 2 \times \left( \frac{1}{2} \times 3 \, \text{m} \times 3.7 \, \text{m} \right) + 2 \times \left( 3 \, \text{m} \times 3.2 \, \text{m} \right) + \left( 3 \, \text{m} \times 3.7 \, \text{m} \right) \]\)

\(\[ \text{Surface Area} = 2 \times \left( \frac{1}{2} \times 3 \, \text{m} \times 3.7 \, \text{m} \right) + 2 \times \left( 3 \, \text{m} \times 3.2 \, \text{m} \right) + \left( 3 \, \text{m} \times 3.7 \, \text{m} \right) \]\)

\(\[ \text{Surface Area} = 2 \times \left( \frac{1}{2} \times 3 \times 3.7 \right) + 2 \times \left( 3 \times 3.2 \right) + \left( 3 \times 3.7 \right) \]\[ \text{Surface Area} = 2 \times 5.55 + 2 \times 9.6 + 11.1 \]\[ \text{Surface Area} = 11.1 + 19.2 + 11.1 \]\[ \text{Surface Area} = 41.4 \, \text{m}^2 \]\)

The surface area of the prism is \(\( 41.4 \, \text{m}^2 \)\).

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The negative sign indicates that the power is flowing in the negative x-direction.

To solve this problem, we can use the relationships between the electric field (E), magnetic field (H), and power density (P) in electromagnetic waves.

Given:

Incident H field phasor: H = ay8e30x (A/m)

Relative electrical permittivity of the dielectric medium: εr = 4

Boundary surface area radius: r = 60 cm = 0.6 m

We'll go through each part of the problem step by step:

a) Electric field phasor:

The relationship between the electric field and magnetic field in a plane wave is E = (1/η) x H, where η is the intrinsic impedance of the medium.

The intrinsic impedance of a dielectric medium is given by η = η0/√εr, where η0 is the impedance of free space (approximately 377 Ω).

Substituting the values, we have:

η = η0/√εr = 377/√4 = 188.5 Ω

Thus, the electric field phasor is:

E = (1/η) x H = (1/188.5) x (ay8e30x) = (ay4.22e-2x) V/m

b) Average incident power density vector:

The average power density (P) of an electromagnetic wave is given by P = (1/2)Re(E x H*), where H* denotes the complex conjugate of H.

Taking the real part, we have:

P = (1/2)Re(E x H*) = (1/2)Re[(ay4.22e-2x) x (ay8e30x)*]

= (1/2)Re[(-32.16ae28x)] = -16.08e28x W/m²

The negative sign indicates that the power is flowing in the negative x-direction.

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The fixed cost for suit is $125 and for every additional day, the cost can be calculated as 30*x.

Therefore, the total cost is the sum of the fixed cost ($125) and the additional cost per additional day ($30x). So, the total cost y is:

y = 125 + 30x

To calculate the total cost after 3 days, we need to replace x by 3 on the initial equation as:

y = 125 + 30*3

y = 125 + 90

y = 215

Answers: 21. y = 125 + 30x

22. $215

To determine if a function has a vertical asymptote, you need to consider its behavior as the input approaches certain values.

A vertical asymptote occurs when the function approaches positive or negative infinity as the input approaches a specific value. Here's how you can determine if a function has a vertical asymptote:

Check for restrictions in the domain: Look for values of the input variable where the function is undefined or has a division by zero. These can indicate potential vertical asymptotes.

Evaluate the limit as the input approaches the suspected values: Calculate the limit of the function as the input approaches the suspected values from both sides (approaching from the left and right). If the limit approaches positive or negative infinity, a vertical asymptote exists at that value.

For example, if a rational function has a denominator that becomes zero at a certain value, such as x = 2, evaluate the limits of the function as x approaches 2 from the left and right. If the limits are positive or negative infinity, then there is a vertical asymptote at x = 2.

In summary, to determine if a function has a vertical asymptote, check for restrictions in the domain and evaluate the limits as the input approaches suspected values. If the limits approach positive or negative infinity, there is a vertical asymptote at that value.

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Answer:

2.5 hour for 150 kilometers

Answer:

0.4 (not rounded)

Step-by-step explanation

You can first reduce this fraction by dividing both the numerator and denominator by the Greatest Common Factor of 18 and 45 using

GCF(18,45) = 9

18÷945÷9=25

We know that

25

is the same as

2÷5

Then using

Long Division for 2 divided by 5

gives us

=0.4

Answer:

11 and 12

Step-by-step explanation:

AD is opposite BC so they're equal, and DC is opposite AB so they're the same.

Answer:

11, 12

Step-by-step explanation:

plato answer just took test