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katovenus [111]
3 years ago
13

6. Based on data from the U.S. Department of Agriculture, the average number of acres per farm x years after 2000 can be approxi

mated by the model below. (Round answers to 2 decimal places.) A(x) = (2078x-94458)/(13x-2164)Use the model to estimate the average number of acres per farm in 2005
Mathematics
2 answers:
statuscvo [17]3 years ago
7 0

Answer: 170.37 acres

Step-by-step explanation:

In 2005, x= 2005

Substituting x=2005 in the equation.

A(2005) = (2078x-94458)/(13x-2164)

A(2005) = 4071932/23901

A(2005) = 170.37 acres

laila [671]3 years ago
7 0

Answer:

40.05 acres

Step-by-step explanation:

Let x = number of acres per farm x years after 2000.

In the year 2005, x = 2005 - 2000 = 5.

To estimate the average number of acres per farm in 2005, we have to replace the value x = 5 in the expression of A(x).

A(5) = (2078 . 5 - 94458) / (13 . 5 - 2164)

A(5) = (10390 - 94458) / (65 - 2164)

A(5) = (-84068) / (-2099)

A(5) = 40.05

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Which expression is equivalent to absolute value of 8 + absolute value of -7
anzhelika [568]

Answer:

8+7

Step-by-step explanation:

Absolute value is when you calculate how far away the number is from zero.

Since 8 is 8 spaces away from zero, then the absolute value of 8 is 8.

Since -7 is 7 spaces away from zero, then the absolute value of -7 is 7.

So, in conclusion, an equivalent expression can be 8+7

4 0
3 years ago
Read 2 more answers
1) Find the circumference and area of each circle:
MA_775_DIABLO [31]

Answer:

a] Radius of circle = 10 feet

Circumference of circle = 94.2 feet (Approx.)

Area of circle = 314 feet² (Approx.)

b] Radius of circle = 6 cm

Circumference of circle = 37.68 cm (Approx.)

Area of circle = 113.04 cm² (Approx.)

Step-by-step explanation:

Given:

a] Radius of circle = 10 feet

b] Radius of circle = 6 cm

Find:

Circumference an area for both circle

Computation:

Circumference of circle = 2πr

Area of circle = πr²

a] Radius of circle = 10 feet

Circumference of circle = 2(3.14)(10)

Circumference of circle = 94.2 feet (Approx.)

Area of circle = (3.14)(10)²

Area of circle = 314 feet² (Approx.)

b] Radius of circle = 6 cm

Circumference of circle = 2(3.14)(6)

Circumference of circle = 37.68 cm (Approx.)

Area of circle = (3.14)(6)²

Area of circle = 113.04 cm² (Approx.)

7 0
3 years ago
Evaluate the expression for the given value of the variable. 51 + 3/7r. R= - 1/2
mel-nik [20]

The answer is -50.429

You would replace the -1/2 where r is at, divide 7& -1/2, then add it to 51

4 0
3 years ago
If a transversal intersects 2 lines that are parallel then: a,b,c,d?
Yakvenalex [24]

Answer:

Step-by-step explanation:

a) corresponding angles are equal

b) Alternate interior angles are equal

c) Vertically opposite angles are equal

d) interior angles on the same side of the transversals are supplementary.  

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3 years ago
4(2x + 3) - 5y
kobusy [5.1K]

Answer:

Step-by-step explanation:

4(2x+3)-5y

=8x+12-5y

Sum means addition: 2x+3

Term: Term could be a single number , variable, or the product of both. we have 8x, 12,-5y

Product ( multiplication): we have 4(2x+3), 2 multiplied by x(2x), 5y

Factor(part of a product : factor of 8x=8, x, 2 and 4

Factor of -5y=-5 and y

Factor of 12=2,4,6

Quotient ( it is the result obtained by dividing one quantity by another)= Not present in the expression. The expression doesn't have a division

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Coefficient of 8x=8

Coefficient of -5y=-5

Coefficient of 12=12

                 

7 0
3 years ago
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