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Talja [164]
3 years ago
13

3. What is the average (arithmetic mean) of all the multiples of ten from 10 to 190 inclusive?

Mathematics
2 answers:
viktelen [127]3 years ago
8 0
Hello!

The average mean (arithmetic mean) of all the multiples of ten from 10 to 190 inclusive would be C. 100.

Explanation:

10 and 190 inclusive would mean that there are 19 terms.

To find the arithmetic mean, we must add all the numbers and divide by the amount of numbers.

If you add up all the terms, you will get 1,900. Now, divide that by the number of terms.

1,900 ÷ 19 = 100

Therefore, your answer is C. 100.

Have a wonderful day!
Sergio039 [100]3 years ago
7 0

Answer:

100

Step-by-step explanation: 100

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Barrett works at an ice cream shop. The function f(x) represents the amount of money Barrett earns per gallon of ice cream, wher
Sliva [168]

The value of f(g(x)) is 6x^{3} +4

Explanation:

The function f(x) is given by

f(x)=2x^{2} +4

The function g(x) is given by

g(x)=\sqrt{3x^{3} }

To determine the value of f(g(x)), let us first substitute the value of g(x).

Thus, we get,

f(g(x))=f(\sqrt{3x^{3} } )

Now, substituting for x=\sqrt{3x^{3} } in the function f(x), we get,

f(g(x))=2(\sqrt{3x^{3} } )^2+4

Simplifying, the expression, we get,

f(g(x))=2({3x^{3} } )+4

Multiplying the term within the bracket, we have,

f(g(x))=6x^{3} +4

Thus, the value of f(g(x)) is 6x^{3} +4

Hence, the value of f(g(x)) represents the total amount of money that Barrett earns for working x hours.

4 0
3 years ago
3. In a single growing season at the Smith Family Orchard, the average yield per apple tree is 150 apples when the number of tre
g100num [7]

Answer:

<em><u>A.10000</u></em>

<em><u>B.25 more trees must be planted</u></em>

Step-by-step explanation:

⇒Given:

  • The intial average yield per acre y_{i} = 150
  • The initial number of trees per acre  t_{i} = 100
  • For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
  • Total yield = (number of trees per acre)*(average yield per acre)

<em>A.</em>

⇒If the total trees per acre is doubled , which means :

total number of trees per acre t_{f} = 2*t_{i} = 200

the yield will decrease by : t_{f} - y_{i}

y_{f}= 150-100= 50

⇒total yield = 50*200=10000

<em>B.</em>

⇒to maximize the yield ,

let's take the number of trees per acre to be 100+y ;

and thus the average yield per acre = 150 - y;

total yield = (100+y)*(150-y)\\=15000+50y-y^{2} \\

this is a quadratic equation. this can be rewritten as ,

     ⇒   =15000+50y-y^{2}\\=15000+625 - (625 - 50y +y^{2})\\=15625 - (y-25)^{2}

In this equation , the total yield becomes maximum when y=25;

<u><em>⇒Thus the total number of trees per acre = 100+25 =125;</em></u>

                 

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2 years ago
What if the following is the sum of both solutions of the equation....
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answer

D 2

factor

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the two numbers that meet these conditions are a = -4 and b = 2

x^{2} - 2x - 8 = (x - 4)(x + 2)

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x - 4 = 0

x = 4

x + 2 = 0

x = -2

add solutions

since the two solutions are x = 4 and x = -2, add them together to get your final answer

4 + (-2) = 2

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Answer:

Step-by-step explanation:

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X= 147
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