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Andreas93 [3]
3 years ago
5

Paul predicts that n stalks of corn planted together will produce (2n2–2n)(2n2–2n) ears of corn. If Paul plants three corn plant

s, how many ears of corn does Paul expect to harvest? 24 ears 30 ears 12 ears 6 ears
Mathematics
1 answer:
Free_Kalibri [48]3 years ago
6 0
Given that the production of n stalks of corn planted has been modeled by (2n^2-2n), then the approximate ears of corn produced by 3 stalks will be given by:
2n^2-2n
plugging in n=3 in the formula we get:
2(3)^2-2(3)
simplifying we get:
2(9)-6
=18-6
=12
the answer is: 12 ears
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Two trains left the station traveling in opposite directions. The distance Train A traveled is modeled by the function d(t)=81t
stira [4]

Answer:

Option A -  The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.

Step-by-step explanation:

Given : The distance Train A traveled is modeled by the function d(t)=81t

where d represents distance in miles and t represents time in hours.

To find : How does the distance Train A traveled in 1 hour compare to the distance Train B traveled in 1 hour?

Solution :

Distance traveled by Train A in 1 hour is

d(t)=81t

d(t)=81(1)=81

Distance traveled by Train B in 1 hour is

d(t)=81t

d(t)=81(1)=81

or for B, we have 324 miles in 4 hours. If that is at a constant speed, it travels 324/4 = 81 miles in one hour

Therefore, The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.

Hence, Option A is correct.


8 0
2 years ago
1. Express 14/100 as a negative exponent.
Jet001 [13]

Step-by-step explanation:

Number 1

=  \frac{14}{100}

=  \frac{14}{ {10}^{2} }

= 14 \times  {10}^{ - 2}

\:

Number 2

=  {100 }^{ - 1}

=  \frac{1}{ {100}^{1} }

=  \frac{1}{100}

6 0
2 years ago
I don't get it please Help me
fenix001 [56]

Step-by-step explanation:

A. 2(x+4)=2x+8

=G

B. 3(2x-1)=6x-3

=I

C. 4(x+2)=4x+8

=J

D. 2(x+3)=2x+6

=K

E. 3(4x+1)=12x+3

=H

A - G

B - I

C - J

D - K

E - H

<em><u>H</u></em><em><u>O</u></em><em><u>P</u></em><em><u>E</u></em><em><u> </u></em><em><u>I</u></em><em><u>T</u></em><em><u> </u></em><em><u>H</u></em><em><u>E</u></em><em><u>L</u></em><em><u>P</u></em>

5 0
3 years ago
Help me with this question please
IRISSAK [1]

We have consecutive odd numbers for the sides of a triangle, perimeter 201.  We could write an equation, but clearly the middle side is 201/3 = 67, so the other two sides are 65 and 69.

This is almost an equilateral triangle, angles around 60 degrees, so not obtuse, meaning one angle over 90 degrees.

Scalene means the sides are all different lengths; we didn't even have to solve the problem to know this is true.

Smallest side 61, false.

Largest side 69, true.

This last one doesn't make much sense to me.  What's a unit here?  Dilation of 1/3 means all the linear measures become 1/3 as big, including the perimeter.  It would decrease much more than 3 inches, since it would go from 201 inches to 67 inches.  If I have to answer I'd go with false.


5 0
3 years ago
The graph of 4x+12y=8 and y=Mx+5 are perpendicular. What is the value of m
Komok [63]

Answer:

m=3

Step-by-step explanation:

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

step 1

Find the slope of the given line

we have

4x+12y=8

isolate the variable y

12y=8-4x

y=\frac{2}{3}-\frac{1}{3}x

the slope of the given line is

m=-\frac{1}{3}

step 2

Find the slope m_2 of the perpendicular line to the given line

m_1*m_2=-1

m_1=-\frac{1}{3} ---> slope of the given line

(-\frac{1}{3})*m_2=-1

m_2=3

therefore

The value of m is

m=3

8 0
3 years ago
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