Which of the following relationships will have a positive slope? Select all that apply.

In the analysis of variance study, if we consider 3 treatments, in which we have 4 observations for the first treatment, 5 observations for the second treatment, and 6 observations for the third treatment. Then, the degrees of freedom associated with SSE in each case is 2, 3, and 4, respectively.

Degrees of Freedom Associated with SSE

The number of degrees of freedom in statistics refers to the quantity of values that can fluctuate in a statistic's final calculation. Various amounts of data or information can be used to estimate statistical parameters.

In order to find the degrees of freedom associated with SSE in an Analysis of Variance (ANOVA) study, we subtract 2 from the number of observations. In n is the number of observations, then (n-2) gives the degrees of freedom associated with SSE.

Thus, for the first treatment, n = 4

⇒ Degrees of freedom = 4-2

= 2

For the second treatment, n = 5

⇒ Degrees of freedom = 5-2

= 3

For the third treatment, n = 6

⇒ Degrees of freedom = 6-2

= 4

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The piecewise function graphed below is given as follows:

A piecewise function is a function that has different definitions, depending on the input.

For x between -4 and -2, inclusive, the function is constant at 3, hence the definition is:

[tex]f(x) = 3, -4 \leq x \leq -2[/tex]

For x greater than -2 until 3, the function is a line with slope 1 and y-intercept 2, hence the definiton is:

[tex]f(x) = x + 2, -2 < x \leq 3[/tex]

For x greater than 3 until 5, the function is constant at -1, hence the definition is:

[tex]f(x) = -1, 3 < x \leq 5[/tex]

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Answer: $48 more

Step-by-step explanation: We use algebra. Let c = Carter and a = Ari. C+A = 240. A+16 = 2(C-16). 2C-32 + C-16 = 240. 3C - 48 is 240. 240+48 is 288. So, C is 96 and a is  144. 144- 96 = 48 more.

Answer:

Option (2)

Step-by-step explanation:

[tex]\mathbf{u} \cdot \mathbf{v}=(-5)(-15)+(3)(-25)=0[/tex]

So, the vectors are orthogonal.

Answer:

f-1(x) = +- sqrt(x + 6)

Step-by-step explanation:

f(x) = x^2 - 6

y = x^2 - 6

x = y^2 - 6

x + 6 = y^2

y = +- sqrt(x + 6)

f-1(x) = +- sqrt(x + 6)

Hi :)

Let's find the inverse of the function

Remember, inverse functions do the opposite things in the opposite order.

To find the inverse,

Replace f(x) with y. (one step)

Then

[tex]\boldsymbol{y=x^2+6}[/tex]

Swap x's and y's (one step)

Then

[tex]\boldsymbol{x=y^2+6}[/tex]

Solve for y (several steps)

[tex]\boldsymbol{x-6=y^2}[/tex] > square root both sides

[tex]\boldsymbol{\sqrt{x-6}=y}[/tex] > swap y and √x-6

[tex]\boldsymbol{y=\sqrt{x-6}}[/tex]

[tex]\tt{Learn~More;Work~Harder}[/tex]

:)

Bearing is a topic that deals with distance and measure of the angle in locating the position of an object. The distance required in the question is 692 feet.

Bearing is a topic that relates the distance and measure of an angle so as to determine the accurate position of a given object. The angle with respect to the object is measured clockwise with respect to the North pole.

From the first part of the question, the height of the lighthouse, h, can be determined by applying the trigonometric function. So that;

Tan θ = [tex]\frac{Opposite}{Adjacent}[/tex]

Tan 12 = [tex]\frac{h}{1315}[/tex]

h = Tan 12 x 1315

  = 279.51

Thus the height of the lighthouse is approximately 280 feet.

Thus, let the distance between points A and B be represented by l. This implies that the distance from point B to the lighthouse is (l + 1315) ft.

So that;

Tan θ = [tex]\frac{Opposite}{Adjacent}[/tex]

Tan 8 = [tex]\frac{280}{(l+1315)}[/tex]

Tan 8 x (l + 1315) =  280

0.141l + 185.415 = 280

0.141 l = 280 - 185.415

          = 97.585

l = [tex]\frac{97.585}{0.141}[/tex]

 = 692.092

l = 692 feet

Therefore, the distance between points A and B is 692 feet.

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Answer:

B. 20x⁹

Step-by-step explanation:

A monomial is a polynomial with just one term.

Example: 3x²

A. 11x - 9

INCORRECT, this has two terms 11x and 9

B. 20x⁹

CORRECT, this only has one term!

C. 20x⁹ - 7x

INCORRECT, this has two terms 20x⁹ and 7x

D.9/x

INCORRECT, this is not a polynomial

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Answer:

given,

final interest = Prt

p = 7500

r = 15%

t= 8 yrs

Fi= 7500 x 0.15 x 8

= 1125 x 8

=9000

total savings = 9000 + 7500 = 16500

The indicated sum for the geometric series is 121.5

The series is given as:

162 − 54 + 18 − 6 + .....

Start by calculating the common ratio of the geometric series.

This is calculated using

r = -54/162

Evaluate

r = -1/3

The indicated sum for the geometric series is then calculated as:

S = a(1 - r^n)/1 - r

Substitute the known values in the above equation

S = 162(1 - (-1/3)^7)/1 + 1/3

Evaluate the exponent and the sum

S = 162(1 + 1/2187)/4/3

Evaluate the sum

S = 162(2188/2187)/4/3

Express as products

S = 162 * (2188/2187)* 3/4

Evaluate the product

S = 162 * 547/729

Evaluate the product

S = 121.5

Hence, the indicated sum for the geometric series is 121.5

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The area of the shaded region shown in the image is 14π unit²

An equation is an expression that shows the relationship between two or more numbers and variables.

Area of semicircle = π*diameter² / 4

The area of the shaded region is the sum of the area of the individual semi circles shown in the diagram.

Area of shaded region = area of SR + area of QR + area of PQ

Area of shaded region = (1/2) * π(4²/4) +  (1/2) * π(2*4²/4) + (1/2) * π(2 * 2 * 4²/4) = 14π

The area of the shaded region shown in the image is 14π unit²

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Answer:
The answer is C- Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Answer:

A. 175 m

B. 20 cm

Step-by-step explanation:

[tex]\frac{1 cm}{25 m} =\frac{7 cm}{x m}[/tex]

x = 175 m

[tex]\frac{25 m}{1 cm} = \frac{500 m}{x cm}[/tex]

x = 20 cm

Answer:

No1. 175 m

no2. 20 cm

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

Let's consider the shape given to us:

 ⇒ a rectangle with two semicircles cutout on the edges

     ⇒ perimeter/circumference of the two semicircles can count as one

         circle

Let's solve:

               [tex]\hookrightarrow \text{Total circumference} =\frac{1}{2} *\pi *\text{ diameter} +\frac{1}{2} *\pi * \text{diameter}\\= \pi *\text{diameter}=10\pi =10 * 3.14 = 31.4[/tex]

Answer: 59.4 square units

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Answer: H

Step-by-step explanation:

[tex]9(-3)=-27[/tex], which is an integer.

Answer:

[tex] - \frac{ \sqrt{2} }{2} [/tex]

Step-by-step explanation:

The sine of an angle is equal to the y coordinate point where the terminal side of the angle intersects the unit circle.

The number of Levi's common shares that were outstanding on 12/31/2020 is 16,000,000 shares.

This refers to the number of shares of common stock that a company has issued to investors and company executives.

Total common shares

= $95million  / $5 par shares

= 19 million shares

Outstanding common shares = 19 million shares - 3 million shares

Outstanding common shares = 16,000,000 shares

Therefore, the number of Levi's common shares that were outstanding on 12/31/2020 is 16,000,000 shares.

Full information

The following partial information is taken from the comparative balance sheet of Levi Corporation:

Shareholders’ equity 12/31/2021 12/31/2020

Common stock, $5 par; 29 million shares authorized; 24 million shares issued and 19 million shares outstanding at 12/31/2021; and ____million shares issued and ____shares outstanding at 12/31/2020.

$120million $95million

Additional paid-in capital on common stock 529million 401million

Retained earnings 206million 166million

Treasury common stock, at cost, 5 million shares at 12/31/2021 and 3 million shares at 12/31/2020 (81million) (59million)

Total shareholders’ equity $774million $603million

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the expression that represents the volume of the prism is  14x² + 7x cubic centimeters. Option 2

The  volume of a pentagonal prism is determined using the formula;

V = 5/2abh

where

Now, let's substitute the values given

Let the base be 'x'

The apothem is 2. 8 centimeters

height is 2x + 1

Volume = 5/ 2 × 2. 8 × x × (2x + 1)

Volume = 14/ 2 × x(2x + 1)

Volume = 7x(2x + 1)

Volume = 14x² + 7x

Thus, the expression that represents the volume of the prism is  14x² + 7x cubic centimeters. Option 2

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Answer:

8 and -8.

Step-by-step explanation:

Absolute value is the magnitude of quantity, irrespective of sign; the distance of a quantity from zero. The absolute value of a number is symbolized by two vertical lines, as |8| or |-8| is equal to 8.

The absolute value of number a:

|a| = 8 ⇔ a = 8 or a = -8

Answer:

1.2 meters long

Step-by-step explanation:

3(4/5)m=3.8m

5m-3.8m=1.2m

Answer:

[tex]y=-\dfrac{1}{3}x+4[/tex]

Step-by-step explanation:

Slope of line with given x and y intercepts

The x-intercept is when y = 0.  
Therefore, if the x-intercept is 5 ⇒ (5, 0).

The y-intercept is when x = 0.  
Therefore, the y-intercept is -15 ⇒ (0, -15).

Inputting these two points into the slope formula to find the slope of this line:

[tex]\sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{-15-0}{0-5}=3[/tex]

Slope of function f(x)

If the function f(x) is perpendicular to the above line, then the slope of function f(x) is the negative reciprocal of the slope of the line.

[tex]\implies \sf slope\:of\:f(x)=-\dfrac{1}{3}[/tex]

Equation of f(x) in point-slope form

Use the found slope and the point (-6, 6) with the point-slope form of a linear equation to find the equation of function f(x):

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-6=-\dfrac{1}{3}(x-(-6))[/tex]

[tex]\implies y-6=-\dfrac{1}{3}(x+6)[/tex]

Expand and rearrange so that the equation is in the slope-intercept form of y=mx+b:

[tex]\implies y-6=-\dfrac{1}{3}x-2[/tex]

[tex]\implies y=-\dfrac{1}{3}x+4[/tex]

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The equivalent expression of 21√(3)(15) - 9√(3)(15) is 36√5

The expression is given as:

21√(3)(15) - 9√(3)(15)

Express 15 as 3 * 5

21√(3)(15) - 9√(3)(15) = 21√(3)(3 * 5) - 9√(3)(3 * 5)

Evaluate the product of 3 and 3

21√(3)(15) - 9√(3)(15) = 21√(9 * 5) - 9√(9 * 5)

Take the square root of 9

21√(3)(15) - 9√(3)(15) = 21*3√(5) - 9*3√5)

Evaluate the product

21√(3)(15) - 9√(3)(15) = 63√(5) - 27√5)

Evaluate the difference

21√(3)(15) - 9√(3)(15) = 36√5

Hence, the equivalent expression of 21√(3)(15) - 9√(3)(15) is 36√5

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Step-by-step explanation:

x^2 +4x +4 -7 is

y=x^2+4x-3

Answer: g(x)=(x+2)²-4.

Step-by-step explanation:

g(x)=f(x)+3

g(x)=(x+2)²-7+3

g(x)=(x+2)²-4.

Answer:

15

Step-by-step explanation:

12 / 2 = 6

5 / 2 = 2.5

6 x 2.5 = 15

15 inches²

The displacement between t = 0 and t = 3 is 45 meters, so the correct option is d.

The displacement is defined as the difference between the final position and the initial position.

The initial position is what we get when we evaluate in t = 0.

s = 0^3 -18*0^2+60*0 = 0

The initial position is 0 meters.

The initial position is what we get when we evaluate in t = 3.

s = 3^3 -18*3^2+60*3 = 45

The final position is 45 meters.

Then the displacement is:

D = 45m - 0m = 45m

The correct option is d.

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Answer:

D

Step-by-step explanation:

1=5 ( being corresonding angle)

Answer:

4[tex]\sqrt{3xy}[/tex]

Step-by-step explanation:

4 is a perfect square.  We can pull 2 out from under the square root symbol.

The prime factor of 12 is 2.2.3.  We can pull another 2 outside of the square root symbol.  2 x2 is 4 that will be outside of the square root symbol and the x, y and 3 will be left under the symbol.