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vovikov84 [41]
3 years ago
7

An acre of land planted with sugar beet produces 550 gallons of ethanol from the sugar by fermentation. A car converted to run o

n E75 (a 75% ethanol, 25% petrol mixture) can do 40 miles per gallon. If you drive 20,000 miles per year, how many acres of sugar beet will be needed to produce the ethanol you need?
Mathematics
1 answer:
valkas [14]3 years ago
4 0

Answer:

Step-by-step explanation:

a

fdsa

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Which set of angles could be the interior angles of a triangle? O A. 10° 20°, and 60° B. 20°. 20°, and 50° C. 209.30'. and 50° D
oee [108]
Answer is D because it adds to 180
7 0
3 years ago
The ducks at the Duck Pond game are numbered 1 through 31 with a 32nd one bearing the Big Prize
neonofarm [45]

Answer: 96 games

Step-by-step explanation:

32 total possibilities

3 people

32*3= 96

8 0
3 years ago
Determine the first four terms of the sequence in which the nth term is a_n=(n+1)!/(n+2)!
Vilka [71]

Answer: Choice B) 1/3, 1/4, 1/5, 1/6

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

Plug in n = 1 to find the first term

a_n = ( (n+1)! )/( (n+2)! )

a_1 = ( (1+1)! )/( (1+2)! )

a_1 = ( 2! )/( 3! )

a_1 = ( 2*1 )/( 3*2*1 )

a_1 = 2/6

a_1 = 1/3

The first term is 1/3. Optionally you can stop here because only choice B has 1/3 listed as the first term, so this must be the answer. However, I'm going to keep going to show how to find the three other terms. This will help confirm why choice B is the answer, and it will be handy for those times when you aren't given multiple choice answers.

------------

Plug in n = 2

a_n = ( (n+1)! )/( (n+2)! )

a_2 = ( (2+1)! )/( (2+2)! )

a_2 = ( 3! )/( 4! )

a_2 = ( 3*2*1 )/( 4*3*2*1 )

a_2 = 6/24

a_2 = 1/4

The second term is 1/4

------------

Plug in n = 3

a_n = ( (n+1)! )/( (n+2)! )

a_3 = ( (3+1)! )/( (3+2)! )

a_3 = ( 4! )/( 5! )

a_3 = ( 4*3*2*1 )/( 5*4*3*2*1 )

a_3 = 24/120

a_3 = 1/5

The third term is 1/5

------------

Plug in n = 4

a_n = ( (n+1)! )/( (n+2)! )

a_4 = ( (4+1)! )/( (4+2)! )

a_4 = ( 5! )/( 6! )

a_4 = ( 5*4*3*2*1 )/( 6*5*4*3*2*1 )

a_4 = 120/720

a_4 = 1/6

The fourth term is 1/6

------------

The first four terms are: 1/3, 1/4, 1/5, 1/6, so that confirms why choice B is the answer.

4 0
3 years ago
Find the coordinates of the intersection of the medians of △ ????BC given ????(2, 4), ????(−4, 0), and ????(3, −1).
Damm [24]

Answer:

The coordinates of the intersection of the medians of △ABC is (1/3, 1).

Step-by-step explanation:

Consider the vertices of △ABC are A(2, 4), B(−4, 0), and C(3, −1).

Intersection of the medians of a triangle is known as centroid.

Formula for centroid of a triangle is

Centroid=(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3})

Using the above formula the centroid of △ABC is

Centroid=(\dfrac{2-4+3}{3},\dfrac{4+0-1}{3})

Centroid=(\dfrac{1}{3},\dfrac{3}{3})

Centroid=(\dfrac{1}{3},1)

Therefore the coordinates of the intersection of the medians of △ABC is (1/3, 1).

4 0
3 years ago
Express each number in scientific notation.<br><br> 0.00000186
finlep [7]

Answer:

Step-by-step explanation:

0.00000186=1.86*10^{-6}

5 0
3 years ago
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