The owner of a soybean farm raises guinea hens for food and insect control. Guinea hens will eat grasshoppers and other insect pests and ticks. They also act as a "watchdog" by making a lot of noise when intruders approach their territory. The farmer allows the hens free range in his fields during the day and provides roosts for them at night. You may make these assumptions: ∙

1. The farmer lives on 1 hen/day for a year.
2. 1 hen eats 25 grasshoppers/day.
3. 1,000 grasshoppers have a mass of 1 kg.
4. 1 grasshopper requires about 30 g of soy/yr.
6. 1 human requires about 600 grasshoppers/day.
7. dry soybeans have about 3.3 cal/g.

Required:
a. Calculate the number of grasshoppers a hen needs per year.
b. How many grasshoppers are needed for a year's supply of hens for the farmer each year?
c. What is the total mass, in kilograms, of the grasshoppers needed to feed all the hens for one year?
d. How many kilograms of soybeans are needed to feed all the grasshoppers for one year?

Answer:

Option C. between 6 and 18 hours per week

Step-by-step explanation:

We are given that distribution of times is symmetric and mound shaped and this implies that data is normally distributed.

We also know that in the normal distribution the 95% of data lies within 2 standard deviations i.e. mean± 2*standard deviation.

So, 95% of the television viewing times falls in interval

mean± 2*standard deviation

12±2*3

12±6

[6,18]

Thus, [6,18] is an interval where you believe approximately 95% of the television viewing times fell in the distribution.

Answer:

u = 7\/10

Step-by-step explanation:

Answer:

The explicit formula is [tex]a_n=15(\frac{4}{5})^{n-1}[/tex].

Step-by-step explanation:

First, we need to find the common ratio. We know this is a geometric sequence because the decrease from one term to the next is not a constant number.

To find the constant ratio, we can take the [tex]2^{nd}[/tex] term and divide by the [tex]1^{st}[/tex] term:

[tex]\frac{2nd}{1st}=\frac{12}{15}=\frac{4}{5}[/tex]

So, our common ratio is [tex]r=\frac{4}{5}[/tex].

We already know our initial term, [tex]a_0[/tex] is 15, so we get:

[tex]a_n=a_0(r)^{n-1}\\a_n=15(\frac{4}{5})^{n-1}[/tex]

Answer:

minimum

Step-by-step explanation:

Because of the negative infront of 52. The graph opens downward which makes it minimum. Hope this helps

Answer:

(-4, -17), (-3, -10), (-2,5), (-1,2)

Step-by-step explanation:

All the coordinates are represent linear function.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The coordinates are,

⇒ (-4, -12), (-3,-10), (-2, -8), (-1,-6)

⇒ (-4, -17), (-3, -10), (-2,5), (-1,2)

⇒ (1, -7), (2, -10), (3, -13), (4, -16)

⇒ (1, 1), (2, 4), (3, 7), (4, 10)

Now,

We know that;

A relation between a set of inputs having exactly one output each is called a linear function.

Clearly, All the coordinate have exactly one output for every input.

Learn more about the mathematical expression visit:

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Answer:

8

Step-by-step explanation:

2 ÷ 1/4 = 8
You can draw 2 squares and make them into quarters for your diagram. Hope this helped!

Answer:  There are 8 1/4 inches in 2 inches.

Step-by-step explanation:

1/4 x 4 = 1, so 1/4 x 8 = 2

Diagram can be made to look as splitting 2 inches into 8 parts.

Answer:

The college student can get 5 concert tickets

Step-by-step explanation:

$367.50÷(70+$3.50)

Answer:

[tex]\displaystyle \boxed{y = -3} \\ \boxed{\pi} \\ \boxed{N/A} \\ f(x) = \boxed{-2cot\:(x + \frac{\pi}{2}) - 3}[/tex]

Step-by-step explanation:

[tex]\displaystyle f(x) = Acot(Bx - C) + D \\ \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ \\ Vertical\:Shift \hookrightarrow -3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{2}}{1} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{2} \\ Amplitude \hookrightarrow N/A[/tex]

OR

[tex]\displaystyle f(x) = \boxed{2tan\:x - 3} \\ \\ f(x) = Atan(Bx - C) + D \\ \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ \\ Vertical\:Shift \hookrightarrow -3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{2} \\ Amplitude \hookrightarrow N/A[/tex]

Here is all the information you will need. Now, what you need to know is that ALL tangent, secant, cosecant, and cotangent functions have NO amplitudes. Also, keep in mind that although this IS a tangent graph, if you plan on writing your equation as a function of cotangent, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle f(x) = 2cot\:x - 3,[/tex]in which you need to replase "tangent" with "cotangent", then figure the appropriate C-term out that will make the graph horisontally shift and map onto the tangent graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two graphs, we can tell that the cotangent graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{2}\:unit[/tex]to the right, which means that in order to match the tangent graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{2}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{2}} = \frac{-\frac{\pi}{2}}{1},[/tex]but we are NOT YET DONE. Although we shifted the graph back into position, remember, cotangent is graphed in REVERCE, so we need to insert a negative in front of the amplitude term, and with that, the cotangent graph of the tangent graph, accourding to the horisontal shift, is [tex]\displaystyle f(x) = -2cot\:(x + \frac{\pi}{2}) - 3.[/tex]Now, with all that being said, we can move forward. To find the period in this case, you need to take a look at the distanse between each vertical asymptote. Now, accourding to this graph, the vertical asymptotes are at [tex]\displaystyle -\frac{\pi}{2} = x\:and\:\frac{\pi}{2} = x.[/tex]From here, you will then find the distanse between these asymptotes by simply perfourming the operation of Deduction, and doing that will give you [tex]\displaystyle \boxed{\pi} = \frac{\pi}{2} + \frac{\pi}{2}.[/tex]So, the period of this function is [tex]\displaystyle \pi.[/tex]Now, you will instantly get the jist of the horisontal shift by looking at the above formula. Just keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to what is given to you inside those parentheses. Finally, the midline is the centre of your graph, also known as the vertical shift, which in this case is at [tex]\displaystyle y = -3.[/tex]

Well, that just about wraps it up. Now that everything has been explained, you should understand it better. If you still have questions, do not hesitate to comment any you have.

I am delighted to assist you at any time.

Answer:

192 SQUARE FEET

Step-by-step explanation:

Area of a triangle= 1/2 ×base×height

1/2 of the base =32/2 ft

=16 ft

Let the height be A ft and another side(16 ft) be B ft

We know that, A^2 + B^2 =Hypotenuse^2

OR, A^2 + 16^2 = 20^2

OR, A^2= 400-256

OR, A^2 =144

OR, A= Square root of 144

OR, A=12 ft

By the problem,

1/2 ×Base×Height =Area of half of the triangle

1/2 ×16×12= Area of half of the triangle

96=Area of half of the triangle

AREA OF THE TRIANGLE=96 ×2

AREA OF THE TRIANGLE=192 SQUARE FEET.

HOPE IT HELPS

MARK ME BRAINLIEST

A little square marked on angle means that the angle is 90 degrees.

By the vertical angle theorem, angles opposite each other are equal thus the angle opposite the angle with the little square is also 90 degrees.

That angle is split into two angles that is off measure 22 degrees and x degrees

  -- x + 22 = 90 --> x = 68.

Hope that helps!

Answer:

68

Step-by-step explanation:

[tex] \hookrightarrow \: x + 22 = 90(complementary \: angles) \\ [/tex]

[tex] \hookrightarrow \: x + 22 = 90 \\ \hookrightarrow \: x = 90 - 22 \\ \hookrightarrow \: x = 68[/tex]

Answer:

I think it's C but I never did this before so don't trust me

Step-by-step explanation:

2100 * 5 = 1050 and I divided 1050 by 4 which gave me $262.50

Answer:

I'm sure it's 1/52

Step-by-step explanation:

because if there is 52 cards and one 7 of spades then it would be a 1 out of 52 chance

Answer: 1/2

Step-by-step explanation:

7/8 - 3/8 = 4/8

4/8 = 1/2

Answer:

she used 4/8 of the sugar

Step-by-step explanation:

Answer:

[tex]\frac{4}7[/tex]

Step-by-step explanation:

Just as a reminder, to find the ratio of 2 numbers, you divide the first by the second, and to divide 2 fractions, you multiply the dividend by the reciprocal of the divisor.

In this case, that would be:

[tex]\frac{\frac{4}{5}}{\frac{7}{5}}[/tex]

[tex]= \frac{4}{5} \cdot\frac{5}{7}[/tex]

=[tex]\frac{4}7[/tex]

I hope this helped you.

Answer:

C. 128 in²

Step-by-step explanation:

We know that the opposite sides of rectangles are congruent, so 8 = 2x. If we divide 8 by 2 and 2x by 2, we get x = 4.

Now, the area of a rectangle is l × w, where l = length and w = width. The dimensions of this rectangle are 8 and 16, so 8 × 16 = 128 in².

Answer:

Angles H, J, M, N

Step-by-step explanation:

Since m<p is 90 degrees it must be the largest angle so both triangles have angle 45-45-90. m<P is equal to m<K. This means that angle h, j, m, and n are equal.

angles M, N, and J.

try drawing diagrams to help you figure out the problem :)

Answer:

24

Step-by-step explanation:

Hope this helps and please mark me brainliest :D

Answer:

x=20

Step-by-step explanation:

Answer:

20%

the above was solved using set

Answe point me

Step-by-step explanation:

Answer:A

Step-by-step explanation:

The solution for the linear inequality, in interval notation, is [tex]\:(-\infty \:,\:-\frac{7}{6}][/tex].

It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use of follow symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than) and > (greater than).

The solutions for inequalities can be given by: graph in a number line or numbers.

For solving this exercise, it is necessary to find a number solution for  the given inequality.

                                 12x-8≤6x-15

                                12x-6x≤ -15+8

                                   6x≤-7

                                    x≤ -7/6

Read more about inequalities here.

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Answer:

a - 2b

Step-by-step explanation:

❖ Step 1: Distributive negative sign.

❖ Step 2: Combine like terms.

Therefore, the answer is a - 2b.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

a-2b

Step-by-step explanation:

(a-b+c)-(c+b)

Distribute the minus sign to the terms in the second parenthesis

a-b+c-c-b

Combine like terms

a-b+c-c-b

a-b-b+c-c

Cancel like terms

a-2b

The area of the floor the carpet needs to cover is 20 1/8 cm².

The floor has the shape of a rectangle. A rectangle is a 2-dimensional quadrilateral with four right angles.

Area of a rectangle = length x width

5 3/4 x 3 1/2

23/4 x 7/2 = 161/8 = 20 1/8 cm²

To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449

Step-by-step explanation:

89 multiplied by negative 34 gives a negative answer, since positive multiplied by negative is negative hence,

(89) × (-34) = -3026

Answer:

A)

Step-by-step explanation:

Starting point is at o and ending point at 2.

So, 2 in

Answer:

12

Step-by-step explanation:

For this question, simply plug in -2 for x:

[tex]g(-2)=2(-2)^2-4(-2)-4\\g(-2)=2(4)+8-4\\g(-2)=8+8-4\\g(-2)=12[/tex]

Hope this helps!!