The slope is negative. In the graph, as you move from left to right, the
line of the graph is going _________________

Answer:

Step-by-step explanation:

Let x be the variable.

One fourth times the difference of ten and x is 2/3

1/4 (10 - x) = 2/3

10 - x = 3/2

-x = 3/2 - 10

x = -3/2 + 10

x = 13/2

The answer is:

\(\rm{\dfrac{1}{4}(10-d)=\dfrac{2}{3}}\)

Work/explanation:

First, the variable is d

Then, the difference of 10 and d is 10 - d.

One-fourth is 1/4.

The equation is : \(\rm{\dfrac{1}{4}(10-d)=\dfrac{2}{3}}\).

Answer:

5.6

Step-by-step explanation:

11*7=77

11.8*7= 82.6

82.6-77=5.6

Answer:

Step-by-step explanation:

Substitute and evaluate:

Answer:

\(b = 3 \ \: \: : c = 5 \\ \\ b {}^{2} c - 11 = \\ \\ \\ {3}^{2} \times 5 - 11 = \\ \\ 9 \times 5 - 11 = \\ \\ 45 - 11 = \\ \\ = 34\)

Answer:

E67.5

Step-by-step explanation:

Research has shown that competent communicators achieve effectiveness by adjusting their behaviors to the person and situation (option e).

Effective communication involves being adaptable and responsive to the specific context, individual preferences, and the needs of the situation.

Competent communicators recognize that different people have different communication styles, preferences, and expectations. They understand the importance of tailoring their communication approach to effectively connect and engage with others.

This may involve using appropriate language, tone, non-verbal cues, and listening actively to understand the needs and perspectives of others.

By adapting their behaviors, competent communicators can build rapport, foster understanding, and promote effective communication exchanges. They are mindful of the social and cultural dynamics at play, and they strive to communicate in a way that is respectful, inclusive, and conducive to achieving mutual goals.

In summary, competent communicators understand that effective communication is not a one-size-fits-all approach. They adjust their behaviors to the person and situation, demonstrating flexibility and adaptability in order to enhance communication effectiveness.

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Competent communicators achieve effectiveness mostly by adjusting their behaviors to suit the person they are communicating with and the situation they find themselves in. While other factors, like having a broad vocabulary or giving feedback, play a part in effective communication, the former is considered the most crucial.

Research suggests that competent communicators achieve effectiveness mostly through adjusting their behaviors depending on the person they are communicating with and the situation they are in. This is option e. of your question. Communicating effectively involves behaviors like active listening, understanding the other person's point of view, being able to express thoughts and ideas clearly, and being polite and respectful. While a broad vocabulary (option b.) can be useful, it is not as crucial as adapting your behavior to fit the situation. Moreover, giving feedback (option d.) is a part of effective communication but not the sole defining factor. Apologizing when offending others (option c.) is also important but it doesn't necessarily make one a competent communicator. Using the same type of behavior in various situations (option a.) might not always work, as different situations and individuals require different communication styles.

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the form of the unit step response is found by applying the inverse Laplace transform to the Y(s) expression, the steady-state response is a constant value, and the time to reach the steady state depends on the settling time of the system.

The form of the unit step response of the given model can be determined by finding the steady-state response and the time it takes to reach the steady state. Here's a step-by-step explanation:

Identify the model: The given model is a second-order differential equation represented as:
2y'' + 5y' + 625y + 4108 dy + 1.1202 x 104 - 5 x 104 f(t) = 0

Determine the Laplace transform of the given model:
Taking the Laplace transform of the given equation, we get:
2s^2Y(s) + 5sY(s) + 625Y(s) + 4108 Y'(s) + 1.1202 x 10^4 - 5 x 10^4 U(s) = 0

Solve for Y(s):
Y(s) = [5 x 10^4 U(s) - 1.1202 x 10^4] / (2s^2 + 5s + 625 + 4108s)

Apply the Inverse Laplace Transform:
To find the unit step response, we apply the inverse Laplace transform to Y(s) and obtain y(t).

Determine the steady-state response:
The steady-state response is the value of y(t) as t approaches infinity. As the given model is a second-order system, the steady-state response will be a constant value.

Determine the time to reach the steady state:
The time it takes to reach the steady state depends on the settling time, which is related to the damping ratio and natural frequency of the system. These values can be determined from the coefficients of the given model.

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The prime factorization of the number 21 is:

21 = 3*7

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

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Answer:

Iceland

Step-by-step explanation:

The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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Mrs. Munch and Mrs. Crunch both bought 6 boxes of cookies.

Let the number of cookie boxes bought by Mrs. Munch and Mrs. Crunch be represented by x.

Since both of them bought the same number of boxes, we can say that x is the same for both of them.

From the given information, we can say that Mrs. Munch took 43/2 or 43/3 days to finish one box of cookies. To finish all the x boxes, it took her 43 days. Similarly, it took Mrs. Crunch 62/2 or 62/3 days to finish one box of cookies and 62 days to finish all the x boxes.

To find the value of x, we can set up the following equation:

43/2x = 62/3x

By solving this equation, we get x = 6.

Therefore, Mrs. Munch and Mrs. Crunch both bought 6 boxes of cookies.

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\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &3 \end{cases} \\\\\\ A=2000\left(1+\frac{0.04}{4}\right)^{4\cdot 3}\implies A=2000(1.01)^{12}\implies A\approx 2253.65\)

Step-by-step explanation:

the diameter of a circle is 2 times the radius.

the area of a circle is

pi × r²

r being the radius.

so,

1519.76 = pi × r²

r² = 1519.76/pi = 483.7546326...

r = 21.99442276... in

diameter = 2r = 43.98884552... in ≈ 44 in

Sampling is the use of a subset of the population to represent the whole population or to inform about processes that are meaningful beyond the particular cases, individuals or sites studied.

In non-probability sampling, the sample is selected based on non-random criteria, and not every member of the population has a chance of being included. Common non-probability sampling methods include convenience sampling, voluntary response sampling, purposive sampling, snowball sampling, and quota sampling.

Answer:  Decreasing, if it "Halves (cuts in half)". If it was increasing, it would probably say double.

Step-by-step explanation:

So, if it was being cut in half every two days, we would only be counting days 2, 4, and 6.

So days 2, it would be cut in half, and go from 500 to 250. Day 4, it would go from 250 to 125. The day 6, it would go from 125 to 62.5.

In 6 days, the investment will be worth $62.50

Answer:

AB

Step-by-step explanation:

The diameter has to pass  through the center of the circle and tough the outside of the circle on both ends

The diameters are

DE and AB

They can also be written as

ED and BA

Answer:

option A :  AB

Step-by-step explanation:

The diameter is the length of the line through the center that touches two points on the edge of the circle.

Both AB and DE are diameters.

Therefore, Option A : AB

Answer:

percentage increase = 50%

Step-by-step explanation:

percentage increase is calculated as

\(\frac{increase}{original}\) × 100%

increase = 18 - 12 = R 6 , then

percentage increase = \(\frac{6}{12}\) × 100% = 0.5 × 100% = 50%

The correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.

The correct answer is:

B. The graph of h is the graph of g vertically shifted up 1 unit.

Explanation:

The original function g(x) = x² represents a basic quadratic function, which is a parabola that opens upward and has its vertex at the origin (0, 0).

When we consider the function h(x) = g(x) + 1, we are adding a constant value of 1 to the output (y) values of the function g(x). This results in a vertical shift of the graph of g(x) by 1 unit upward.

In other words, for every x-value, the corresponding y-value of the function h(x) will be 1 unit higher than the corresponding y-value of the function g(x).

Visually, this means that the graph of h(x) will be the same shape as the graph of g(x), but it will be shifted upward by 1 unit. The vertex of the parabola, which was originally at the origin, will now be at (0, 1).

The statement "The graph of h is the graph of g horizontally shifted left 1 unit" (Option A) is incorrect because there is no horizontal shift in this transformation.

The statement "The graph of h is the graph of g vertically shifted down 1 unit" (Option B) is incorrect because the transformation results in a vertical shift upward, not downward.

The statement "The graph of h is the graph of g horizontally shifted right 1 unit" (Option D) is incorrect because there is no horizontal shift in this transformation.

Therefore, the correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.

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P = 90 is the solution for the given equation.

Given: Qd=95−4

PQs=5+P

To find Qd if P=5:

Put P = 5 in the equation

Qd=95−4P

Qd = 95 - 4 x 5

Qd = 75

So, Qd = 75.

To find P if Qs = 20:

Put Qs = 20 in the equation

Qs = 5 + PP

= Qs - 5P

= 20 - 5P

= 15

So, P = 15.

To solve Qd=Qs, substitute Qd and Qs with their respective values.

Qd = Qs

95 - 4P = 5 + P

Subtract P from both sides.

95 - 4P - P = 5

Add 4P to both sides.

95 - P = 5

Subtract 95 from both sides.

- P = - 90

Divide both sides by - 1.

P = 90

Thus, P = 90 is the solution for the given equation.

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L = lenght = 4w + 7

W = width

Perimeter = 2L + 2W

74 = 2 (4W + 7 ) + 2 W

74 = 8W + 14 + 2 W

74 = 10W + 14

74-14 = 10W

60 = 10W

60/10 = W

6 = W

L = 4W + 7

L= 4(6) +7

L= 24+7

L= 31

Answer:

Lenght = 31 inches

Width = 6 inches

Answer:

6

Step-by-step explanation:

Answer:

B is correct option that helps

Top and bottom:  (7.5in x 4in) = 30 in² each

Left and right sides:  (2.5in x 4in) = 10 in² each

Front and back:  (7.5in x 2.5in) = 18.75 in² each

Total area:  (58.75 in² ) x 2 = 117.5 in²

Step-by-step explanation:

i) answer =1

ii) 2 -3m + 6n -2 x 3 3-m

Answer:

( i ) \(\boxed{1}\)

( ii ) \(\boxed{2^{6n - 3m - 2}\times 3^{3 - m}}\)

.

Step-by-step explanation:

( Part i )

\(\left(\frac{1}{x^{a - b}} \right)^{a + b}\left(\frac{1}{x^{b + a}} \right)^{b - a}\)

\(= \left(\frac{1}{x^{(a - b)(a + b)}} \right)\left(\frac{1}{x^{(b + a)(b - a)}} \right)\)

\(= \left(\frac{1}{x^{a^2 - b^2}} \right)\left(\frac{1}{x^{b^2-a^2}} \right)\)

\(= \frac{1}{x^{a^2 - b^2 + (b^2 - a^2)}}\)

\(= \frac{1}{x^0}\)

\(= \frac{1}{1}\)

\(= \boxed{1}\)

.

( Part ii )

\(\frac{2^{m + n}\times 3^{2m + 3} \times 4^{2n -1}}{6^{2m + n}\times 12^{m - n}}\)

\(=\frac{2^{m + n}\times 3^{2m + 3} \times 2^{2(2n -1)}}{(2\times3)^{2m + n}\times (3\times 2^2)^{m - n}}\)

\(=\frac{2^{m + n}\times 3^{2m + 3} \times 2^{4n -2}}{2^{2m + n}\times3^{2m + n}\times 3^{m - n}\times 2^{2(m - n)}}\)

\(=\frac{2^{m + n + 4n - 2}\times 3^{2m + 3}}{2^{2m + n + 2m - 2n}\times3^{2m + n + m - n}}\)

\(=\frac{2^{m + 5n - 2}\times 3^{2m + 3}}{2^{4m - n}\times3^{3m}}\)

\(= 2^{m + 5n - 2 - (4m - n)}\times3^{2m + 3 - 3m}\)

\(= \boxed{2^{6n - 3m - 2}\times 3^{3 - m}}\)

.

Happy to help :)

Answer:

128°

Step-by-step explanation:

Adjacent angles on a straight line must add up to 180°

Using the angle measures given,

(5x−28)° + 8x° = 180°

5x - 28 + 8x = 180

13x - 28 = 180

13x  = 180 + 28

13x = 208

x = 208/13 = 16

Therefore second angle = 8x° = 8(16)° = 128°

Answer:

3

Step-by-step explanation:

-33+9=-24

-24+9=-15

-15+9=-6

-6+9=3

Answer:

3, 12, 21

Step-by-step explanation:

-33+9=-24

-24+9=-15

-15+9=-6

-6+9=3

3+9=12

12+9=21

Answer and Step-by-step explanation:

As we know that

\(Perimeter\ of\ rectangle = 2\times (length + breadth)\)

Given that

The perimeter of a rectangle is  16  inches i.e length and breadth should be measured by that way in which the perimeter of rectangle comes 16 inches

We considered four way of measuring the perimeter

Length  Width  Perimeter

    1            7           16

    2            6          16

    3            5           16

    4            4           16

Simple it is as we multiply the 8 by 2 it gives 16 inches and the same is displayed above

So there are four combinations of 8 how it came.

Answer:

A

Step-by-step explanation:

Edgenuity

total days = 3+5+2+2 = 12

Sunny days = 3

Divide the sunny days by the total number of days

P = 3/12 = 0.25

We can see that the statement is not always true for any vectors u and v in V3.

The statement is not always true.

The cross product of vectors u and v in V3 is a vector that is orthogonal to both u and v. That is,

u x v ⊥ u and u x v ⊥ v

However, this does not necessarily mean that (u x v) * u = 0 for all u and v in V3.

For example, let u = <1, 0, 0> and v = <0, 1, 0>. Then,

u x v = <0, 0, 1>

(u x v) * u = <0, 0, 1> * <1, 0, 0> = 0

So in this case, the statement is true. However, consider the vectors u = <1, 1, 0> and v = <0, 1, 1>. Then,

u x v = <1, -1, 1>

(u x v) * u = <1, -1, 1> * <1, 1, 0> = 0

So in this case, the statement is also true. However, if we take the vector u = <1, 0, 0> and v = <0, 0, 1>, then

u x v = <0, 1, 0>

(u x v) * u = <0, 1, 0> * <1, 0, 0> = 0

So in this case, the statement is true as well.

However, if we take the vector u = <1, 1, 1> and v = <0, 1, 0>, then

u x v = <1, 0, 1>

(u x v) * u = <1, 0, 1> * <1, 1, 1> = 2

So in this case, the statement is not true.

Therefore, we can see that the statement is not always true for any vectors u and v in V3.

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Answer:

25.5 mi

Step-by-step explanation:

12 22.5  X

Let X be the shortest distance we are trying to find.

a units 2 b units 2 c units 2

12 units 2 + (22.5)=c units 2

144+506.25=c units 2

650.25=c units 2

\(\sqrt{x} 650.25\)=c units 2

25.5