In Exercises, we present descriptions of designed experiments. In each case, identify the
a. experimental units.
b. response variable.
c. factor(s).
d. levels of each factor.
e. treatments.
Oat Yield and Manure. In a classic study, described by F. Yates in The Design and Analysis of Factorial Experiments (Commonwealth Bureau of Soils, Technical Communication No. 35), the effect on oat yield was compared for three different varieties of oats and four different concentrations of manure (0, 0.2, 0.4, and 0.6 cwt per acre).

Working with the right side,

(1 + sin(θ))/(1 - sin(θ)) - (1 - sin(θ))/(1 + sin(θ))

multiply the first term by (1 + sin(θ))/(1 + sin(θ)) and the second one by (1 - sin(θ))/(1 - sin(θ)). This gives

(1 + sin(θ))/(1 - sin(θ)) • (1 + sin(θ))/(1 + sin(θ)) = (1 + sin(θ))^2 / (1 - sin^2(θ))

… = (1 + sin(θ))^2 / cos^2(θ)

and

(1 - sin(θ))/(1 + sin(θ)) • (1 - sin(θ))/(1 - sin(θ)) = (1 - sin(θ))^2 / (1 - sin^2(θ))

… = (1 - sin(θ))^2 / cos^2(θ)

Now combine the fractions, expand the numerator, and simplify:

(1 + sin(θ))^2 / cos^2(θ) - (1 - sin(θ))^2 / cos^2(θ) = ((1 + sin(θ))^2 - (1 - sin(θ))^2) / cos^2(θ)

… = ((1 + 2 sin(θ) + sin^2(θ)) - (1 - 2 sin(θ) + sin^2(θ))) / cos^2(θ)

… = 4 sin(θ) / cos^2(θ)

… = 4 • sin(θ)/cos(θ) • 1/cos(θ)

… = 4 tan(θ) sec(θ)

Answer:

168 yd²

Step-by-step explanation:

1) Dark Grey:

[tex]A_1 = 2(2 * 9) = 2* 18 = 36\ yd^2[/tex]

2) Light Grey:

[tex]A_2 = 2(2*6) = 2*12 = 24\ yd^2[/tex]

3) Whitish-Grey:

[tex]A_3 = 2(6*9) = 2 * 54 = 108\ yd^2[/tex]

4) Total Area:

[tex]A = A_1 + A_2 + A_3 = 36 + 24 + 108 = 168\ yd^2[/tex]

Answer:

[tex]the \: forth \: answer \: is \: correct \: answer[/tex]

Answer:

She can spend anything greater than $9.  Such as, $10, $11, $12, $13

Step-by-step explanation:

Subtract 17 from 26 to get $9

Answer:

128.08 in^2

Step-by-step explanation:

A=1/2 ab SinC

=1/2×11×24×Sin 76

The area of given triangle is 128.1 square inches.

The area of a SAS triangle is the total amount of space it encloses in a 2-dimensional plane. "SAS" which means "Side, Angle, Side", is the property of a triangle whose 2 sides and the angle between these sides is given.

The formula to calculate the area of a triangle using SAS is given as,

1. When sides 'b' and 'c' and included angle A is known, the area of the triangle is: 1/2 × bc × sin(A)

2. When sides 'b' and 'a' and included angle B is known, the area of the triangle is: 1/2 × ab × sin(C)

3. When sides 'a' and 'c' and included angle C is known, the area of the triangle is: 1/2 × ac × sin(B)

Given

a = 24 inches

b = 11 inches

∠C=76°.

Area of SAS triangle = [tex]\frac{1}{2} absinc[/tex]

Area = [tex]\frac{1}{2}(24)(11)sin76^{0}[/tex]

Area = 128.079 ≅ 128.1 (nearest  tenth)

Hence, the area of given triangle is 128.1 square inches.

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Answer:

Using the Pythagoras theorem, we have:

[tex]c = \sqrt{a {}^{2} + b {}^{2} } [/tex]

with a = 5, b = 6, we have:

[tex]c = \sqrt{5 {}^{2} + 6 {}^{2} } = \sqrt{61} [/tex]

Answer:

domain: {x ≠ 0}

Step-by-step explanation:

Answer:

72 hot chocolates

Step-by-step explanation:

2h + 3g=306 equation 1 h=hot chocolate g=Gatorade

h + g =126. equation 2

h=126-g isolate h in equation 2

2(126-g) + 3g =306 substitute h value of equation 2 (126-6) into h value eq 1

252-2g+3g=306

g=54

solve for h:

h + g = 126

h+54=126

h=72

check answer:

2h + 3g=306

2(72) +3(54)=306

144+162=306

306=306

Answer:

noon 180 degrees from 12 to 12

Answer:

$51.00

Step-by-step explanation:

One bag price multiply it number of price bag wanted $17.00 × 3 =$51.00

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Initial investment (P)= $5,000

Interest rate (r)= 5% simple interest

Number of periods (t)= 7 years

To calculate the interest earned, we need to use the following formula:

I= P*r*t

I= 5,000*0.05*7

I= $1,750

To calculate the future value of the investment, we need to use the following formula:

FV= I + P

FV= 1,750 + 5,000

FV= $6,750

Answer:

1

Step-by-step explanation:

Answer:

1080 in^2

Step-by-step explanation:

Answer:

180 in^2

Step-by-step explanation:

A 12" wide by 30" flag has the area  A = (1/2)(base)(height) square inches, or 180 square inches.

Answer:

A picture of this would really help thx so much! (Please comment when u have done so that i can be notified

Step-by-step explanation:

Answer:

eeeerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrm i have no idea

Step-by-step explanation:

#1

Solving for x only

[tex]\\ \sf\Rrightarrow x+90+55=180[/tex](Linear pair

[tex]\\ \sf\Rrightarrow x+145=180[/tex]

[tex]\\ \sf\Rrightarrow x=35°[/tex]

#2

[tex]\\ \sf\Rrightarrow x+32=90[/tex]

[tex]\\ \sf\Rrightarrow x=90-32=58°[/tex]

And

[tex]\\ \sf\Rrightarrow y+x=90°[/tex]

[tex]\\ \sf\Rrightarrow y=90-58=32°[/tex]

Answer:

5¹⁵

Step-by-step explanation:

(5³)⁹ = 5²⁷

5²⁷ ÷ 5¹² = 5¹⁵

Given:

The function is:

[tex]y=(f(x))^2[/tex]

To find:

The derivative of the given function at x=1, i.e., y'(1).

Solution:

Chain rule of differentiation:

[tex][f(g(x))]'=f'(g(x))g'(x)[/tex]

We have,

[tex]y=(f(x))^2[/tex]

Differentiate with respect to x.

[tex]y'(x)=2(f(x))\dfrac{d}{dx}f(x)[/tex]

[tex]y'(x)=2f(x)f'(x)[/tex]

Putting [tex]x=1[/tex], we get

[tex]y'(1)=2f(1)f'(1)[/tex]

From the given table of values it is clear that f(1)=3 and f'(1)=3. Putting these values in the above equation, we get

[tex]y'(1)=2(3)(3)[/tex]

[tex]y'(1)=18[/tex]

Therefore, the value of y'(1) is 18.

Answer: 2.5 ft

Step-by-step explanation: Add 1 1/4 + 1 1/4  =  2.5

Subtract 2.5 ft from 10 ft = 7.5 ft  divided by 3 places = 2.5 ft

To check answer: 2.5ft + 2.5ft + 2.5ft + 1 1/4ft + 1 1/4ft = 10 ft

The distance between the two identically sized posters should be 2,5 ft at all three places.

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

Let x be the distance between the two identically sized posters.

Add 1 1/4 + 1 1/4  =  2.5

The total length of the given wall is 10 ft.

here, the equation formed as

x + x +x + 2.5 = 10

3x + 2.5 = 10

3x = 10 - 2.5

3x = 7.5

x = 2.5

So, The distance between the two identically sized posters should be 2,5 ft at all three places.

Learn more about linear equations;

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Answer:

24

Step-by-step explanation:

put them in ascending order then cross of one each side still you reach the middle

Answer:

the answer to the question is A

Answer:

1. the team of Liverpool FC has the shortest player because the minimum is 64.

2. ny Knicks has the tallest player with a height of 84.

3. the NY Knicks box has the largest IQR because 82 - 74 = 8.

MS. A is wrong bc the 75% of players are taller than 74 inches.

Step-by-step explanation:

Fun Fact that has nothing to do with this:

The Beatles meet in Liverpool.

Answer:

Present age of Juna = 10 years

Present age of Jubin = 16 years

Step-by-step explanation:

Ratio of present ages = 5: 8

Let the present ages of:

Juna be 5x years and Jubin be 8x years

(where x is the common multiplier of the given ratios)

Four years after:

Juna's age = (5x + 4) years

Jubin's age = (8x + 4) years

According to the question:

(5x + 4) + (8x + 4) = 34

13x + 8 = 34

13x = 34 - 8

13x = 26

x = 26/13

x = 2

5x = 5*2 = 10 years

8x = 8*2 = 16 years

Hence,

Present age of Juna = 10 years

Present age of Jubin = 16 years

Answer:

6

Step-by-step explanation:

I Just answered the question on my test

Answer:

The directed number suggested is +3.

Step-by-step explanation:

A directed number is one that has either a positive or negative sign, so that it could be easily located on the number line. Thus, the sign shows the direction of the number. Examples are: -2, -1, +5, +6 etc.

From the given question, let the initial weight be represented by W, then:

I gained 3 pounds implies at that; 3 pounds was added to my initial weight. Thus, my present weight is my initial weight + 3 pounds.

i.e I gained 3 pounds ⇒ W + 3

So that the directed number suggested by the statement is +3.

Answer:

The number of minutes since Luke started driving from his house to his distance from the house is 40 minutes. :)

Step-by-step explanation:

Answer:

because l1//l2 => z + 65 = 180

y + 65 = 90

x + 65 = 90

<=> z = 115

y = 25

x = 25

Answer:

x=25

y=25

z=115

Step-by-step explanation:

x congruent to y

180-90-65=25

180-65=115

Answer:

x = 3; y = 8

Step-by-step explanation:

Sides KI and KE are congruent.

4x = 12

x = 3

Sides IT and ET are congruent.

3y - 4 = 20

3y = 24

y = 8

Answer: x = 3; y = 8

Answer:

55°

Step-by-step explanation:

180-125= 55

since they are supplementary, just subtract from 180