A farmer has 100 acres of available land that he wishes to plant with a mixture of potatoes, corn, and cabbage. It costs him $400 to produce an acre of potatoes, $160 to produce an acre of corn, and $280 to produce an acre of cabbage. He has a maximum of $20,000 to spend. He makes a profit of $120 per acre of potatoes, $40 per acre of corn, and $60 per acre of cabbage. How many acres of each crop should he plant to maximize his profit?

a. Create a chart to organize this information.
b. Write the objective function
c. Write all the constraints to the problem.

Answer:

k=8

Step-by-step explanation:

Cab 1 : 1/km

Cab2: 0.5 /km with Base charge =4

x=0.5 x+4

x-0.5x=4

0.5x=4

4/0.5=x

x=8

Assume x=k

k=8

Answer:

option 2 is correct

Step-by-step explanation:

Another 2 btc please

Answer:

1/16

Explanation:

You have a 1/4 chance both times but in probability you multiply when in a sequence of events. 1/4*1/4= 1/16

Answer:

Step-by-step explanation:

First,

7x - 9 = 15

=> 7x = 15 + 9

=> 7x = 24

[tex] = > x = \frac{24}{7} [/tex]

Now putting its value in 7x + 1,

= 7x + 1

[tex] = 7 (\frac{24}{7} ) + 1[/tex]

[tex] = 7 \times \frac{24}{7} + 1[/tex]

= 24 + 1

= 25 (Ans)

Answer:

[tex]r=\frac{k+7s}{4}[/tex]

Step-by-step explanation:

Answer:8

is the answer

Answer:

$119

Step-by-step explanation:

08:00 - 12:15 = 4hrs 15mins

13:00 - 17:15 = 4hrs 15mins

Total hours worked = 8hrs 30 mins

$14/hr

14 × 8 = 112

30 mins is half of an hour so 14/2 = 7

$7 for 30 mins

112 + 7 = 119

$119

hope this helps ^^

Answer:

y = 3x - 17

Step-by-step explanation:

y - 3x = 2

y = 3x + 2

Parallel slope (m) = 3

Passes through (6, 1)

Slope-intercept:

y - y1 = m(x - x1)

y - 1 = 3(x - 6)

y - 1 = 3x - 18

y = 3x - 17

Answer:

The standard error is [tex]s = \sqrt{\frac{\pi_1(1-\pi_1)}{n_1}+\frac{\pi_2(1-\pi_2)}{n_2}}[/tex], in which [tex]p_1,p_2[/tex] are the proportions and [tex]n_1,n_2[/tex] are the sample sizes.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The standard error is:

[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

For the difference of proportions:

For proportion 1, the standard error is:

[tex]s_1 = \sqrt{\frac{\pi_1(1-\pi_1)}{n_1}}[/tex]

For proportion 2, the standard error is:

[tex]s_2 = \sqrt{\frac{\pi_2(1-\pi_2)}{n_2}}[/tex]

For the difference:

The standard error is the square root of the sum of the squares of each separate standard error. So

[tex]s = \sqrt{(\sqrt{\frac{\pi_1(1-\pi_1)}{n_1}})+(\sqrt{\frac{\pi_2(1-\pi_2)}{n_2}})^2} = \sqrt{\frac{\pi_1(1-\pi_1)}{n_1}+\frac{\pi_2(1-\pi_2)}{n_2}}[/tex]

The standard error is [tex]s = \sqrt{\frac{\pi_1(1-\pi_1)}{n_1}+\frac{\pi_2(1-\pi_2)}{n_2}}[/tex], in which [tex]p_1,p_2[/tex] are the proportions and [tex]n_1,n_2[/tex] are the sample sizes.

Answer: 7×4³

Step-by-step explanation:

Answer:

7 x 4³

Step-by-step explanation:

using exponents to my understanding,

the answer vis supposed to be;

7 x 4³

Answer:

790000

Step-by-step explanation:

Answer:

790,000

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

32/0.64 = 50

Answer:

Hello! answer: 360

Step-by-step explanation:

The rule is multiply by 30 I found this out by using the info shown in the table like...

120 ÷ 4 = 30 90 ÷ 30 = 3 60 ÷ 30 = 2 and so on matching up with the chart! so what I did was 12 × 30 to get the final answer to follow the pattern so... 12 × 30 = 360 therefore the answer is 360 HOPE THAT HELPS!

Answer:

Operations on Complex Numbers (page 2 of 3) ... Simplify (2 – i)(3 + 4i). (2 – i)(3 + 4i) = (2)(3) + (2)(4i) + (–i)(3) + (–i)(4i). = 6 + 8i – 3i – 4i2 = 6 + 5i – 4(–1) ... exact same techniques for simplifying complex-number expressions as you do for polynomial ... Suppose you have the following exercise:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

Horizontal lines have __zero___

slope and vertical lines have   undefined   slope.

Horizontal lines have ___linear____ equations that say _y_= any number.

Vertical lines have equations that say _x_= any number.

Answer:

To write the equation of a horizontal line, we only need to specify where it intersects with the y-axis. This will look like y=k, where k is where the line crosses the y-axis.

The equation of a vertical line always takes the form x = k, where k is any number and k is also the x-intercept .

Step-by-step explanation:

Mark me brainliest plzzzzzzzzzzzzzzzzzzzzzz

Given:

In a right angle triangle,

Length of legs are x and 7.

Length of hypotenuse = y

Measure of angle between leg 7 and hypotenuse = 33 degrees.

To find:

The value of x and y.

Solution:

In a right angle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\tan (33^\circ)=\dfrac{x}{7}[/tex]

[tex]7\times \tan (33^\circ)=x[/tex]

[tex]7\times 0.6494=x[/tex]

[tex]4.5458=x[/tex]

Approximate the value to the nearest tenth.

[tex]x\approx 4.5[/tex]

In a right angle triangle,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\cos (33^\circ)=\dfrac{7}{y}[/tex]

[tex]y=\dfrac{7}{\cos (33^\circ)}[/tex]

[tex]y=\dfrac{7}{0.83867}[/tex]

[tex]y=8.34655[/tex]

Approximate the value to the nearest tenth.

[tex]y\approx 8.3[/tex]

Therefore, the correct option is D.

Answer:

8u =32 this is the equation

Answer and Step-by-step explanation:

8u = 32 is the answer.

This is because there are eight U's, and it is equal to 32.

#teamtrees #PAW (Plant And Water)

Answer:

a₁₂ = 20971520

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 5 and r = a₂ ÷ a₁ = 20 ÷ 5 = 4 , then

a₁₂ = 5 × [tex]4^{11}[/tex] = 5 × 4194304 = 20971520

Answer:

59 tournament passes and 36 one-day passes were sold.

Step-by-step explanation:

Since the first day of a water polo tournament the total value of tickets sold was $ 1540, and one-day passes sold for $ 10 and tournament passes sold for $ 20, and the number of tournament passes sold was 23 more than the number of day passes. sold, to determine how many day passes and tournament passes were sold, the following calculation must be performed:

20 x 33 + 10 x 10 = 760

20 x 63 + 10 x 40 = 1,660

20 x 58 + 10 x 35 = 1,510

20 x 59 + 10 x 36 = 1,540

Thus, 59 tournament passes and 36 one-day passes were sold.

Answer: 270°

Step-by-step explanation:

A full rotation is 360° so to find out the clockwise equivalent of a 90° counterclockwise rotation, deduct the counterclockwise rotation from 360°:

= 360 - 90

= 270°

If you rotated 90° counterclockwise, you would get to the same point as if you rotated 270° clockwise.

Answer:

15 plates

Step-by-step explanation:

450 divided by 30 = 15, meaning 30 x 15 would be 450 mg. This also means that if the weight of some plates was 450 mg, there would be 15 plates.

Answer:

15

Step-by-step explanation:

Your units are a little confused.

The mass (total ) is 450 mg

1 plate weighs 30 mg

1 plate / 30 mg  =  x plates / 450 mg             Cross multiply

1 * 450 = 30x                                                   Divide by 30

450 / 30 = x

x = 15

There are 15 gold plates.

Answer:

answer is ASA

Step-by-step explanation:

two triangles are congruent by angle side angle theorem.

Answer:

6

Step-by-step explanation:

fog(x) = √3(x-6)

Domain => 3(x-6) ≥ 0

<=> x-6≥ 0

=> x ≥ 6

so, the smallest number is 6

As

(fog)(x)=f(g(x))

f(g(x))

So

Smallest no is 6

Answer:

can't explain how but i'm confident the answer is:

A. G(X) > -6

Answer:

The number of non-positive integral values of [tex]k[/tex] are contained in the following set:

[tex]S_{k} = \{-1, 0\}[/tex]

Step-by-step explanation:

Let be the following second order polynomial:

[tex]x^{2}-(k + 1)\cdot x + (k^{2}+k -8) = 0[/tex], [tex]k \le 0[/tex] (1)

Whose roots can be found by the Quadratic Formula:

[tex]x_{1,2} =\frac{k + 1\pm \sqrt{k^{2}+2\cdot k +1 - 4\cdot k^{2}-4\cdot k +32 }}{2}[/tex]

[tex]x_{1,2} = \frac{k+1}{2} \pm \frac{\sqrt{33-2\cdot k -3\cdot k^{2}}}{2}[/tex]

Based on the statement, we have the following system of inequations:

[tex]\frac{k+1}{2} + \frac{\sqrt{33 - 2\cdot k -3\cdot k^{2}}}{2} > 2[/tex] (2)

[tex]\frac{k+1}{2} - \frac{\sqrt{33 - 2\cdot k -3\cdot k^{2}}}{2} < 2[/tex] (3)

By (2) we have:

[tex]k + 1 + \sqrt{33-2\cdot k -3\cdot k^{2}} > 4[/tex]

[tex]\sqrt{33 -2\cdot k - 3\cdot k^{2}} > 4 - (k + 1)[/tex]

[tex]33 - 2\cdot k -3\cdot k^{2} > [4 - (k+ 1)]^{2}[/tex]

[tex]33 - 2\cdot k -3\cdot k^{2} > 16 -8\cdot (k+1)+(k+1)^{2}[/tex]

[tex]33 - 2\cdot k - 3\cdot k^{2} > 16-8\cdot k -8 + k^{2}+2\cdot k + 1[/tex]

[tex]33 - 2\cdot k -3\cdot k^{2} > 9 -6\cdot k + k^{2}[/tex]

[tex]0 > 4\cdot k^{2}-4\cdot k -24[/tex]

[tex]4\cdot k^{2}-4\cdot k -24< 0[/tex]

[tex]4\cdot (k^{2}-k-6) < 0[/tex]

[tex]k^{2}-k - 6 < 0[/tex]

[tex](k -3)\cdot (k+2) < 0[/tex]

The solution is:

[tex]k \in (-2, 3)[/tex]

Likewise, we get the following expression from (3):

[tex]k^{2}-k - 6 > 0[/tex]

[tex](k -3)\cdot (k + 2) > 0[/tex]

The solution is:

[tex]k \in (-\infty, -2)\,\cup\,(3, +\infty)[/tex]

The number of non-positive integral values of [tex]k[/tex] are contained in the following set:

[tex]S_{k} = \{-1, 0\}[/tex]

Answer:

The third option

Step-by-step explanation:

[tex]\frac{-56}{8} = -7[/tex]