Sophia expects the number of cows, c c, on her farm t t years from now to be modeled by the function c ( t ) = 3 0 ( 2 ) c(t)=30(2) t . additionally, she expects the supply of hay, f f, in tons, that her crops can provide for each cow t t years from now to be modeled by the function f ( t ) = 8 ( 1 . 5 ) f(t)=8(1.5) t . let h h be the total yearly amount of hay produced in sophia's farm (in tons) t t years from now. note that the hay produced on sophia's farm is used exclusively to feed her cows. write the formula of h ( t ) h(t) in terms of c ( t ) c(t) and f ( t ) f(t).

The expression is given as:

.

Step-by-step explanation:

Sophia expects the number of cows, C, on her farm t years from now to be modeled by the function:

Additionally, she expects the supply of hay, F, in tons, that her crops can provide for each cow t years from now to be modeled by the function

Let H be the total yearly amount of hay produced in Sophia's farm (in tons) t years from now.

Total amount of Hay produced in sophia's farm= Number of cows in farm×Amount of hay required for each cow.

i.e. H(t)=C(t)×F(t)

and we know that

Hence,.

Hence, the hay produced on Sophia's farm is used exclusively to feed her cows i.e. we need to write the formula of H ( t ) in terms of C(t) and F (t) is:

.

1) 
Steps: Simplify brackets, subtract numerators.

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Steps: Simplify brackets, subtract numerators, simplify into simplest form.

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Steps: Simplify brackets, add numerators, change into simplest form.

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Steps: Simplify brackets, simplify.

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Steps: Simplify brackets, simplify.

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Steps: Simplify brackets, subtract numerators.

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Steps: Simplify brackets, subtract numerators, simplify into simplest form.

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Steps: Simplify brackets, add numerators, change into simplest form.

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Steps: Simplify brackets, simplify.

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Steps: Simplify brackets, simplify.

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Steps: Simplify brackets, subtract numerators.

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Steps: Simplify brackets, subtract numerators, simplify into simplest form.

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Steps: Simplify brackets, add numerators, change into simplest form.

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Steps: Simplify brackets, simplify.

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Steps: Simplify brackets, simplify.

1. विद्यार्थियों ने अध्यापक को उपहार दिया .

2. मोहन कल विद्यालय जाएगा .

1.This is one of the best movies released this month. ( Use: good)

2. The memory is so vivid that I will never forget it .( Use: ‘ too’ in place of ‘so’ )

3. As soon as I reached the hall the minister’s speech started. ( Begin: No sooner…….)

4. Ravi was a better speaker than his brother. ( Begin- His brother)

5.Teacher asked ‘ How many of you think the answer is correct ?( Rewrite using indirect

speech)

6.Everybody has heard about the ex- president of the U.S.A , Barrack Obama.( Begin: Who?)

7.Only a few books were remaining on the shelf when we left. ( Begin: Most)

8.I prefer doing yoga to going to a gym. (Begin: I would rather)

answer this questions who's will be correct they will be marked brainlist and I will follow them

A 1. rival

2. rival

3. lawn

Explanation:

It is known that,

      No. of moles = Molarity × Volume

So, we will calculate the moles of as follows.

         No. of moles =

                                = 0.0125 mol

Now, the moles of KOH are as follows.

       No. of moles =

                                = 0.0374 mol

And, =

                             = 0.0375 mol

Now, the balanced reaction equation is as follows.

     

This means 1 mole of produces 173.2 kJ of heat. And, the amount of heat produced by 0.0125 moles of is as follows.

         M =

             = 2.165 kJ

Total volume of the solution = (55.0 + 55.0) ml

                                               = 110 ml

Density of the solution = 1.13 g/ml

Mass of the solution = Volume × Density

                                  =

                                  = 124.3 g

Specific heat = 3.78

Now, we will calculate the final temperature as follows.

              q =

          2165 J =

        2165 - 469.854 =

           17.417 =

               T =

Thus, we can conclude that final temperature of the solution is .

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