A commercial apple grower estimates from past records that if 50 trees are planted per acre, then each tree will yield an average of 70 pounds of apples per season. If, for each additional tree planted per acre (up to 30), the average yield is reduced by 1 pound, how many trees should be planted per acre to obtain the maximum yield per acre? What is the maximum yield?

Answers

Answer 1

Answer:

i) 60 trees

ii) 3600 apples

Step-by-step explanation:

50 trees per acre

Total pounds produced per acre ( ideally ) = 70 * 50 = 3500 pounds

Assumption :

lets assume the additional tree = X

Therefore the number of trees planted per acre = ( 50 + x )  where x ≤ 30

calculate average yield per tree =   ( 70 - x )

Total yield per acre = number of trees * average yield per tree

                                 = ( 50 + x ) * ( 70 - x )

                           Y(x)   =  3500 + 20x - x^2

i) Number of trees that should be planted per acre to obtain maximum yield per acre

y'(x) = 20 - 2x = 0   hence X ( number of additional trees ) = 20 / 2 = 10

Number of trees that should be planted per acre = 50 + 10 = 60 trees

ii) Calculate maximum yield

where ; X = 10

number of trees planted per acre = ( 50 + x ) = 50 + 10 = 60

hence maximum yield  = ( 50 + x ) * ( 70 - x ) = ( 60 ) * ( 60 ) = 3600 apples


Related Questions

What does one equal 10+ b over 25 equal

Answers

Answer:

b is 15.

Step-by-step explanation:

Trust me on this, The answer could only be 15 when solving for b. Hopefully that helps.

The answer is 15 because that is what it is.

What is 8 divided by 3/5= ?

Answers

The answer is 13 1/3 or 13.333333333
8 x 5/3 = 13 1/3

Answer:

0.075

Step-by-step explanation:

What is the common difference between successive terms in the sequence? 0.36, 0.26, 0.16, 0.06, –0.04, –0.14

Answers

Answer:

-.1

Step-by-step explanation:

A license plate is to consist of digits followed by uppercase letters. Determine the number of different license plates possible if the first and second digits must beâ odd, and repetition is not permitted.A. 71, 610, 739, 200,000 B. 795, 674, 880,000 C. 7, 894, 720 D. 8, 840, 832,000

Answers

Answer:

D. 8, 840, 832,000

Step-by-step explanation:

The computation of the number of license plates possible is shown below:

Here the first position could be taken by any of the five odd numbers

The second position could be taken by any of the 4 odd numbers

The third position could be taken by the eight left numbers

The fourth position could be taken by another seven numbers

Als the first digit could be any of the 26 upper case letters and so on

So,

= 5 × 4 × 8 × 7 × 26 × 25 × 24 × 23 × 22

= 8,840,832,000

Therefore option D is correct

4(11 + 7) ÷ (7 – 5) Simplify the expression.

Answers

Answer:

36

Step-by-step explanation:

Answer:

19.2

Step-by-step explanation:

Use distributive property: 11+28 / 7-5

Add: 11+28 ( 39 ) Subtract: 7-5 ( 2 )

Divide: 39/2 ( 19.2 )


1. According to a recipe for cooking roast beef, it takes 3/4 hour for each pound of beef in an oven heated
to 325 Fahrenheit. How long should it take to cook a roast that weighs 12 pounds?

Answers

回答:   正直わからない

説明:   私たちは愛する見知らぬ人ではありません

あなたはルールを知っています、そして私もそうです

完全なコミットメントは私が考えていることです

あなたは他の人からこれを取得しないでしょう

気分を伝えたいだけです

お奨めはあなたに理解させる

決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない

走り回ってあなたを捨てるつもりはない

泣かせたり、さよならを言ったりしないでください

嘘をついてあなたを傷つけることは決してない

私たちは長い間お互いを知っていました

あなたの心は痛んでいますが、あなたはそれを言うには恥ずかしがり屋です

内部では、私たち二人は何が起こっているのかを知っています

私たちはゲームを知っていて、それをプレイするつもりです

そして、あなたが私にどのように感じているか尋ねれば

あなたが盲目すぎて見ることができないと私に言わないでください

決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない

走り回ってあなたを捨てるつもりはない

泣かせたり、さよならを言ったりしないでください

嘘をついてあなたを傷つけることは決してない

決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない

走り回ってあなたを捨てるつもりはない

泣かせたり、さよならを言ったりしないでください

嘘をついてあなたを傷つけることは決してない

(ああ、あきらめて)

(ああ、あきらめて)

(ああ)決して与えるつもりはない、決して与えるつもりはない(あなたをあきらめる)

(ああ)決して与えるつもりはない、決して与えるつもりはない(あなたをあきらめる)

私たちは長い間お互いを知っていました

あなたの心は痛んでいますが、あなたはそれを言うには恥ずかしがり屋です

内部では、私たち二人は何が起こっているのかを知っています

私たちはゲームを知っていて、それをプレイするつもりです

気分を伝えたいだけです

お奨めはあなたに理解させる

決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない

走り回ってあなたを捨てるつもりはない

泣かせたり、さよならを言ったりしないでください

嘘をついてあなたを傷つけることは決してない

決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない

走り回ってあなたを捨てるつもりはない

泣かせたり、さよならを言ったりしないでください

嘘をついてあなたを傷つけることは決してない

決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない

走り回ってあなたを捨てるつもりはない

泣かせたり、さよならを言ったりしないでください

嘘をついてあなたを傷つけることは決してない™

(x-8)(2x+5)=0 solve the equation

Answers

Answer:

x=8

Step-by-step explanation:

x= -5/2=-2 1/2= -2.5. If you add all of those up you will get x=8

Hope this helps and have a great day :)

If the temperature is 5°F outside and the wind is blowing 15 miles an hour, the wind chill makes it feel like the temperature is 25°F below zero. Which integer represents the wind chill temperature? * PLZ HELP

Answers

Answer:

-30

Step-by-step explanation:

5-(-25)

=30

(has nothing to do with wind speed)

PLS GIVE BRAINLIEST

Integers are those numbers that can be represented positively or negatively.

Integers are never in decimal numbers.

Integers are whole numbers with positive signs and negative signs.

Below zero degrees means the temperature is in negative value.

The integer that represents the wind chill temperature is -25°F.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Integers are those numbers that can be represented positively or negatively.

Integers are never in decimal numbers.

Integers are whole numbers with positive signs and negative signs.

Temperature outside = 5°F

The wind is blowing 15 miles an hour.

The wind chill makes it feel like the temperature is 25°F below zero.

Below zero degrees means the temperature is in negative value.

This can be represented by an integer as,

= -25°F

Thus,

The integer that represents the wind chill temperature is -25°F.

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please help!! find the reciprocal of these numbers.
6.2
-2.3
0.9
-22.7

Answers

Answer:

They have its own reciprocal

6.2 will be 0.16 -2.3 will be -0.43 0.9 will be 1.11 and -22.7 will be 0.04. You need to change the decimals into fractions. Flip the fraction and then turn that fraction back into a decimal. I hope this is right!

Stuck on this last question​

Answers

Answer:

C.

because both of those decimals can be turned into fractions.

Step-by-step explanation:

Hope this helps and have a great day :)

Answer:

C

Step-by-step explanation:

.752 is a rational number and .232323... is a non-terminating repeating number, which is also rational

At end of the first half of a football game, Nathan had carried the ball for 50.5 yards. By the end of the game, he carried the ball for a total of 75 yards. Find the percent of increase in the number of yards he carried. Round to the nearest whole tenth if necessary.

Answers

Answer:

48.5%

Step-by-step explanation:

Given parameters:

Distance after first half = 50.5yd

Distance at the end of game = 75yd

Unknown:

Percent increase in the number of yards he carried = ?

Solution:

To find the percent increase;

  Percent increase  = [tex]\frac{change in distance}{distance at half time}[/tex] x 100

  Percent increase  = [tex]\frac{75 - 50.5}{50.5}[/tex] x 100  = 48.5%


Given f(x) = 2x2 + 4x - 3 and g(x) = 5x - 2, find f(x) - g(x).
Must show all work to receive credit! Show your work in the box below

Answers

Answer:

its the same steps as the other one I answered for you except subtract

Step-by-step explanation:

x-1

Answer:

f(x) - g(x) = 2x^2 - x - 1

Step-by-step explanation:

f(x) = 2x^2 + 4x - 3 g(x) = 5x - 2

f(x) - g(x) = (2x^2 + 4x - 3) - (5x - 2)

= 2x^2 + 4x - 3 - 5x + 2

= 2x^2 - x - 1

4x + 5y = -30
slope intercept form

Answers

Answer:Y=4/5x-6







Explanation:

Slope intercept form of the equation 4x + 5y = - 30 is written as,

⇒ y = - 4/5x - 6

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

The equation is,

⇒ 4x + 5y = - 30

Now, We know that;

Slope intercept form of the equation is,

⇒ y = mx + c

Here, The equation is,

⇒ 4x + 5y = - 30

Subtract 4x both side,

⇒ 4x + 5y - 4x = - 30 - 4x

⇒ 5y = - 4x - 30

Divide by 5 both side, we get;

⇒ y = - 4/5x - 6

Hence, The Slope intercept form of the equation is,

⇒ y = - 4/5x - 6

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There are 60 new houses being built in a neighborhood. Last month, 1/4 of them were sold. This month, 1/5 of the remaining houses were sold. How many houses are left to be sold.

Answers

Answer:

36

Step-by-step explanation:

Number of new houses  = 60

Number of houses sold last month = (1/4) of 60

                                                          [tex]= \frac{1}{4}*60[/tex]

                                                          = 15

Remaining houses  = 60 - 15 = 45

Number of houses sold this month = (1/5) of 45

                                                          [tex]=\frac{1}{5}*45\\\\= 9[/tex]

Number of houses that are left = 45 - 9 = 36

Solve Sec(2x)-4=0 for the first two positive solutions. thanks!

Answers

sec(2x) - 4 = 0

sec(2x) = 4

1 / cos(2x) = 4

cos(2x) = 1/4

2x = cos⁻¹(1/4) + 2   or   2x = -cos⁻¹(1/4) + 2

(where n is any integer)

x = 1/2 cos⁻¹(1/4) +   or   x = -1/2 cos⁻¹(1/4) +

The first two positive solutions occur for n = 0 in the first family of solutions, and for n = 1 in the second family, so

x = 1/2 cos⁻¹(1/4)   or   x = π - 1/2 cos⁻¹(1/4)

x ≈ 0.659   or   x ≈ 2.483

Set up a proportion and solve. Round answers to the nearest tenth.

What is 20% of 72?

Answers

14.4 I hope this helped you :)
It would be 14.4 (it’s already a tenth so no rounding) be if it needs to be rounded to nearest whole number, it would be just 14 :)!! Hope this helps!! Pls mark as brainliest!! Have a great night!!

Example 4: In May 2006, Commonwealth Edison Company supplied electricity to residences for a

monthly customer charge of $7.58 plus $0.08275 per kilowatt-hour (kWhr) for the first 400 kWhr

supplied in the month, and $0.06208 per kWhr for all usage over 400 kWhr in the month. (a) What is the

charge for using 300 kWhr in a month? (b) What is the charge for using 700 kWhr in a month? (c) If Cis

the monthly charge for x kWhr, develop a model relating the monthly charge and kilowatt-hours used.

That is, express C as a function of x.

Answers

Answer: monthly customer charge of $7.58 plus $0.08275 per kilowatt-hour (kWhr) for the first 400 kWhr

Step-by-step explanation: I took this test before so I hope this helps gl on the test

a) The charge for using 300 kWhr in a month is $ 32.41

b) The charge for using 700 kWhr in a month is $ 59.30

c) The rule for computing C is

    C ( x ) = { 7.58 + 0.08275x    if 0 ≤ x ≤ 400
                   15.848 + 0.06208x    if x > 400

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The monthly charge = $ 7.58

The monthly charge for per kWhr = $ 0.08275

The monthly charge per kWhr over 400 kWhr = $ 0.06208

So ,

The monthly charge for x kWhr is given by the equation = 7.58 + 0.08275x

The monthly charge for x kWhr which is more than 400 kWhr is given by the equation = 7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )

Now ,

a)

The charge for using 300 kWhr in a month is calculated by substituting the value of x as 300

So ,

The monthly charge for x kWhr is given by the equation = 7.58 + 0.08275x

The monthly charge for 300 kWhr = 7.58 + 0.08275 x 300

                                                         = 7.58 + 24.825

                                                         = $ 32.405

Therefore , The monthly charge for 300 kWhr is $ 32.41

b)

The charge for using 700 kWhr in a month is calculated by substituting the value for x as 700

The monthly charge for x kWhr which is more than 400 kWhr is given by the equation = 7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )

The monthly charge for 700 kWhr =  
7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )

Substituting the value for x as 700 , we get

= 7.58 + 0.08275 ( 400 ) + 0.06208 ( 300 )

= 40.68 + 18.624

= $ 59.304

Therefore , The monthly charge for 700 kWhr is $ 59.304

c)

Let x represent the number of kWhr used and C be the monthly charge for x kWhr.

The model can be split into 2 parts of condition , where

For , 0 ≤ x ≤ 400

The function is 7.58 + 0.08275x

For , x > 400

The function is 15.848 + 0.06208x

Therefore ,

The rule for computing C is

    C ( x ) = { 7.58 + 0.08275x    if 0 ≤ x ≤ 400
                   15.848 + 0.06208x    if x > 400

Hence , The monthly charge for 300 kWhr is $ 32.41 and the monthly charge for 700 kWhr is $ 59.304

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What is 727.526 in word form

Answers

Answer:

I believe that's a decimal point

Step-by-step explanation:

If yes then,

Seven hundred and twenty seven point five two six

Answer:

727.526 in word form is :Seventy-five thousand seven hundred and twenty-six

Step-by-step explanation:

hope this helps :)

A car running at a constant speed covers a distance of 492.36 km in
12 hours. Calculate the distance covered by the car in 51/2 hours.​

Answers

Answer:

the anser is 1046.265 because in

492.36=12hour

? =51/2hour then criscros both side 492.36*25,5/12=492.36

What is the radius of a circle whose equation is x2+y2−10x+6y+18=0?

2 units
4 units
8 units
16 units

Answers

Answer:

4 Units

Step-by-step explanation:

Edge 2021

Completing the squares and comparing with an standard equation, it is found that the radius of the circle is of 4 units.

What is the equation of a circle?

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In this problem, the equation is:

x² + y² - 10x + 6y = -18

Then, we start the steps to complete the squares, as follows:

x² - 10x + y² + 6y = -18

(x - 5)² + (y + 3)² = -18 + 25 + 9

(x - 5)² + (y + 3)² = 16

Then, the radius is found as follows:

r² = 16 -> r = 4 units.

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Is it a nonlinear or a linear

Answers

Answer: linear



Step-by-step explanation:

-Hope this helps :D

Hiii this due today can you draw a digram for 5 times 20 please THIS IS DUE TODAY THANK You​

Answers

Answer:

draw the diagram and multiply 5x20

Reality Check 4: Bringing the NBA into Math 0980

Answers

Is this a question or do I have to search up this sentence to help you?
What’s the question?

Expressions equivalent to z+(z+6)

Answers

Answer:

2z+6

Step-by-step explanation:

Answer:

z+ (z+6) =2 (z+3)

Step-by-step explanation:

the other given optional expressions are not equivalent to the given expression. The option 2 (z+3) is correct and it is the equivalent expression. Hence the given expression z+ (z+6) is equivalent to the expression 2 (z+3)

4x2 divided by 3 please help thanks you

Answers

Answer:

2 2/3 or 2.6... in decimal

Step-by-step explanation:

4*2 = 8

8/3 = 2 2/3

A line has a slope of - 3 and passes through the point (-3, 8). What is the equation of the line?
A. Y=-2/3x+6
B. Y=-2/3x+8
C. Y=6x-2/3
D. Y=8x-2/3

Answers

Answer:

y = -3x-1

Step-by-step explanation:

Point-slope equation of a line

y-y1=m(x-x1)

(x1,y1) are coordinates of a point in the line = (-3,8)

m is the slope of the line = -3

Fill in what you know and move constants to get y by itself (y=mx + b ... slope-intercept equation)

y-8=-3(x+3)

y-8=-3x-9

+8 +8

y = -3x-1

None of the options are correct

what makes this number special 8549176230​

Answers

Uhm hope this help (:

8,549,176,320 What makes this number unique? Answer: The said number has all the numbers from 0-9 exactly once and what is special is they are in lexicographical order of their English words.

Write an equation perpendicular to x-3y=3 passes through (5,-9)

Answers

3y=x-3
y=1/3x-1
Perpendicular slope: -3
y=-3x+b
Plug in the coordinates in the equation:
-9=-3(5)+b
-9=-15+b
4=b
Equation: y=-3x+4
Also, when finding the perpendicular slope you take the reciprocal of the original slope and make it negative if it is positive and make it positive if it’s negative.

 Equation of a line perpendicular to x - 3y = 3 will be y = -3x + 6.

    If two lines having slopes [tex]m_1[/tex] and [tex]m_2[/tex] are perpendicular, property of perpendicular lines shows,

[tex]m_1\times m_2=-1[/tex]

Line given in the question is,

x - 2y = 3

-2y = 3 - x

[tex]y=\frac{1}{3}x-1[/tex]

Slope of this line is,

[tex]m_1=\frac{1}{3}[/tex]

Therefore, slope of the perpendicular line to the given line will be,

[tex]\frac{1}{3}\times m_2=-1[/tex]

[tex]m_2=-3[/tex]

Equation of a line passing through a point (h, k) and slope 'm' is given by,

y - k = m(x - h)

Therefore, equation of a line passing through (5, -9) and slope (-3) will be,

y - (-9) = -3(x - 5)

y + 9 = -3x + 15

y = -3x + 6

      Hence, equation of the line perpendicular to x - 3y = 3 will be y = -3x + 6.

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a rectangle has a length of x3y4 inches and a width of xy7 inches . Which expression represents the ratio of the length of the rectangle to do width of the rectangle?

Answers

Given:

Length of the rectangle = [tex]x^3y^4[/tex] inches

Width of the rectangle = [tex]xy^7[/tex] inches

To find:

The ratio of the length of the rectangle to width of the rectangle.

Solution:

We have,

Length = [tex]x^3y^4[/tex] inches

Width = [tex]xy^7[/tex] inches

So, the ratio of the length of the rectangle to width of the rectangle is

[tex]Ratio=\dfrac{Length}{width}[/tex]

[tex]Ratio=\dfrac{x^3y^4}{xy^7}[/tex]

[tex]Ratio=\dfrac{x\times x^2\times y^4}{x\times y^4\times y^3}[/tex]

Cancel out the common factors.

[tex]Ratio=\dfrac{x^2}{y^3}[/tex]

[tex]Ratio=x^2:y^3[/tex]

Therefore, the required ratio is [tex]x^2:y^3[/tex].

which term of the series 2187,729,243...is 1/9​

Answers

Answer:

Step-by-step explanation:

Givens

a = 2187

r = 1/3

L = 1/9

what is n

Formula

L = a*r^(n-1)

1/9 = 2187 * (1/3)^(n-1)

1/(9 * 2187) = (1/3)^(n - 1)

1/19683 = (1/3)^(n - 1)

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

You need to break 19683 down into its prime factors.

19683 = 3* 729

19683 = 3 * 3 * 243

19683 = 3 * 3 * 3 * 81

81 = 3^4 so there are 4 more threes in the breakdown.

19683 = 3 * 3 * 3 * 3 * 3 * 3 * 3

1/19683 = 1/(3)^(7-1)

1/9 is the 6th term in the series.

Other Questions
1. A 0.130 M solution of a weak base is titrated with a 0.130 M HCl solution. After the addition of 8.50 mL of the HCl solution to 25.00 mL of the weak base solution, the pH of the solution is 9.36 . Determine the pKb of the weak base.2. Calculate the pH of the resulting solution if 23.0 mL of 0.230 M HCl(aq) is added to (a) 33.0 mL of 0.230 M NaOH(aq). Why can you use cross products to solve the proportion StartFraction 18 over 5 EndFraction = StartFraction x over 100 EndFraction for x? what role does social media play in our learning? And how does social media influence how we learn and behave towards issues like politics, mental health, bullying? Which sentence needs revision to make its meaning clear?A Rounding the bend, the two racers appeared tied for first place.B On her way home, Alana found the mans broken bicycle.C We saw a beautiful sunset having a picnic on the hillside.D We handed water in large cups to the tired firefighters. The most recent price activity in this chart is a quadruple top breakout. The box size is $0.50 and the reversal size is three boxes. What is the price objective for the breakout using the horizontal count method?a. $19.00b. $21.50c. $12.50d. $22.00 What is juxtaposition?1. when authors use contrasting examples to draw attention to key points2. when the reader is able to uncover a storys theme based on hints and clues3. when the reader relies on the thoughts and actions of the characters to determine growth4. when authors create suspense and tension as events move toward the climax b. Selena has a coupon for 15% off ice cream. If she pays $2.68 with the coupon, what was the original price of the ice cream? Improvisational Plays in ancient Rome inspired what type of plays during the Renaissance? a. Comedia Del Farce b. Comedia Dellarte c. Comedia Del Teatro plz help me :(its the second question HELP ASAP! Relations and Functions!!! Giving brainliest!!! Camila started reading a 500 page book. She read of the book in hour. What is the maximum number of pages can she read in hour if she reads at the same rate? A. 10 pages B. 15 pages C. 40 pages D. 20 pages Help me pls Use your ideas and knowledge to list and answer questions about civic duties and responsibilities.Answer each of the following questions with at least two complete sentences:4. What does it mean to be a good citizen?5. What is the difference between a civic duty and a civic responsibility? Be sure to give an example for each to help explain.6. When have you experienced a civic duty or responsibility? You may describe the example you wrote in your CAP file.7. Why is it important to a community for people to have good citizenship?8. What could happen if people do not fulfill a civic duty or responsibility? Give a specific example. I have never really watched anime but I have been thinking to start watching it soooo does anyone have suggestions? Determine if the following vectors are orthogonal, parallel, or neither. and Plz Help...Find x in the given triangle. Refrigerant-22 absorbs heat from a cooled space at 50F as it flows through an evaporator of a refrigeration system. R-22 enters the evaporator at 10F at a rate of 0.08 lbm/s with a quality of 0.3 and leaves as a saturated vapor at the same pressure. Determine: a. The rate of cooling provided, in Btu/h. b. The rate of exergy destruction in the evaporator. c. The second-law efficiency of the evaporator. Take T0 = 77F. The properties of R-22 at the inlet and exit of the evaporator are: h1 = 107.5 Btu/lbm, s1 = 0.2851 Btu/lbmR, h2 = 172.1 Btu/ lbm, s^2 = 0.4225 Btu/lbmR. THE EGG! This musical number is an extended metaphor, so it makes a comparison between two unlike objects that compares more than one feature of those objects. Explain what objects/ideas are being compared to each other, and how they are being compared. Your response should be a paragraph of 5 sentences, minimum. Which of these is an example of heat transfer by conduction? cooking carrots in hot waterdrying hair with a blow dryerpressing a shirt with an ironwarming water with sunlight To add or subtract fractions, what must you have? what is one way the United States government dealt with the issue of slavery in the western territories of Kansas and Nebraska?