Suppose that for each firm in the competitive market for potatoes, long-run average cost is minimized at $0.6 per pound when 150 pounds are grown. The demand for potatoes is Q = 40,000/p. If the long-run supply curve is horizontal, then what would be the total consumer spending?

Answer:

-5z^3-z^4+4z^5

Answer:

[tex]\huge\boxed{\sqrt[4]{16a^{-12}}=2a^{-3}=\dfrac{2}{a^3}}[/tex]

Step-by-step explanation:

[tex]16=2^4\\\\a^{-12}=a^{(-3)(4)}=\left(a^{-3}\right)^4\qquad\text{used}\ (a^n)^m=a^{nm}\\\\\sqrt[4]{16a^{-12}}=\bigg(16a^{-12}\bigg)^\frac{1}{4}\qquad\text{used}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\=\bigg(2^4(a^{-3})^4\bigg)^\frac{1}{4}\qquad\text{use}\ (ab)^n=a^nb^n\\\\=\bigg(2^4\bigg)^\frac{1}{4}\bigg[(a^{-3})^4\bigg]^\frac{1}{4}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=2^{(4)(\frac{1}{4})}(a^{-3})^{(4)(\frac{1}{4})}=2^1(a^{-3})^1=2a^{-3}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}[/tex]

[tex]=2\left(\dfrac{1}{a^3}\right)=\dfrac{2}{a^3}[/tex]

Answer: Choice B

95 - 1080n for any integer n

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

Explanation:

Notice how 1080 is a multiple of 360 since 360*3 = 1080. The other values 1450, 780 and 340 are not multiples of 360. For example 1450/360 = 4.02777 approximately. We need a whole number result to show it is a multiple.

Therefore, choice B shows subtracting off a multiple of 360 from the original angle 95. In my opinion, it would be better to write 95+360n or 95-360n to make it more clear we are adding or subtracting multiples of 360.

Choice B will find coterminal angles, but there will be missing gaps. One missing coterminal angle is 95-360 = -265 degrees. So again, 95-360n is a more complete picture. I can see what your teacher is going for though.

Answer:

1: V:56.52  SA:94.2  Ratio: 3:5

2: V:113.04  SA:62.8  Ratio: 9:5

3: V:113.04  SA:138.16  Ratio: 9:11

4: V:113.04  SA:131.88  Ratio: 6:7

Step-by-step explanation:

Hey there!

By using the following formula for volume of a cylinder I got,  

[tex](3.14) r^2h[/tex]

1: 56.52

2: 113.04

3: 113.04

4: 113.04

Now to find SA we'll use the following formula,

1: 94.2

2: 62.8

3: 138.16

4: 131.88

Now for the ratio,

56.52:94.2 - 3:5

113.04:62.8 -  9:5

113.04:138.16 - 9:11

113.04:131.88 - 6:7

Hope this helps :)

Answer:

C

Step-by-step explanation:

4,800 times 7% is 336, and 1200 times 14% is 168, and 168 is half as much as 336, so the correct answer is c

Answer:

C

Step-by-step explanation:

Multiply .7 to 6000 and solve

Answer:

I guess that we want to find how many grams of fat we have in a small pizza.

In a small pizza, we use 12 cups of cheese.

in 14 cups of cheese, we have 6 grams of fat.

Then, in 12 cups of cheese, we have x grams of fat.

We want to find the value of x.

We know that the ratio between the number of cups must be the same as the ratio between the grams of fat then:

12cups/14cups = x/6grams

x = (12/14)*6grams = 5.14 grams

Then in the 12 cups of cheese, we have 5.14 grams of fat.

Answer:

  D.  f(x) = |x|

Step-by-step explanation:

The absolute value parent function has nothing added or subtracted or multiplied. It is simply ...

  f(x) = |x|

Answer:

  all real numbers

Step-by-step explanation:

The domain of any polynomial function is "all real numbers."

Step-by-step explanation:

x+y=12

3×+y=20

×=12-y

3 (12-y)+y=20

36-3y+y=20

36-4y=20

-4y=20-36

-4y= -16

y =16÷4

y=4

×+y=12

×+4=12

×=12-4

×=8

therefoer;y=4,x=8

Answer:  18954

Step-by-step explanation:

The given format for password :  Each password will have one digit, followed by one letter, followed by two digits. The digit 7 will not be used. So, there are 26 letters and 9 digits that will be used.

We assume that the digits can be repeated.

Then by using fundamental principle of counting,

Number of passwords can be created =  (Number of digits) x (Number of letters) x (Number of digits)x(Number of digits)    

= 9 x 26 x 9 x 9

=  18954

Hence, Number of passwords can be created=  18954

Answer:

[tex]\boxed{\mathrm{view \: attachments}}[/tex]

Step-by-step explanation:

Vertex is the highest or lowest point of a parabola.

Axis of symmetry is the line that cuts the parabola in half.

y-intercept is the point where the parabola touches the y-axis.

The maximum or minimum values are the highest or lowest values the parabola can reach.

x-intercepts are the points where the parabola touches the x-axis.

Answer:

C.

Step-by-step explanation:

To find the area of a rectangle, times the length and the breadth together. So, it would be 16×5=80. option C is 80.

Answer:

80 sq.units

Step-by-step explanation:

A of rectangle = L×B

L= 16 units

B=5 units

A of rectangle = L×B

                        =16×5 units

                        =80 sq.units

Answer:

Pyramid

Step-by-step explanation:

[tex]\text{Volume of a Square Pyramid }=\frac{1}{3} \times l^2 \times Height\\\\ \text{Volume of a Cone }=\frac{1}{3} \pi r^2 \times Height[/tex]

Given that the two solids have the same volume

[tex]\frac{1}{3} \times l^2 \times Height=\frac{1}{3} \pi r^2 \times Height[/tex]

If the length of a side of the square base of pyramid A is the same as the base radius of cone B. i.e l=r

[tex]\frac{1}{3} \times l^2 \times $Height of Pyramid=$\frac{1}{3} \pi l^2 \times $Height of cone$\\\\$Cancel out $ \frac{1}{3} \times l^2$ on both sides\\\\Height of Pyramid= \pi \times $ Height of cone$[/tex]

If the height of the cone is 1

[tex]H$eight of Pyramid= \pi \times 1 \approx 3.14$ units[/tex]

Therefore, the pyramid has a greater height.

Answer:

u have to multiply these.

it's too easy .

see I will tell you the answer.

-2x²-6x-(x²-2x+x-2)

Now the signs of the underlined terms will change because negative sign is outside it.

-2x²-6x-x²+ 2x-x + 2

Now we have to solve it simply

-2x²-x²-6x+ 2x-x + 2

-3x²-5x+2

so here is ur answer.

for Indians it is soo simple question bro

I am Indian

if u need any help plz let me know.

Answer:

[tex]4x^2 - 8x + 20[/tex]

Step-by-step explanation:

The correct equation is:

[tex]8x^3 + 4x^2 + 100[/tex]

We want to divide that by (2x + 5)

To do the long division, divide each term by 2x and then subtract the product of the result and (2x + 5) from the remaining part of the equation.

When you get to 0, you have reached the end of the division.

Whatever term you get from each step of division is part of the quotient.

Go over the steps above carefully while following them below:

Step 1:

Divide [tex]8x^3[/tex] by 2x. You get [tex]4x^2[/tex].

Step 2

Multiply [tex]4x^2[/tex] by (2x + 5)  and subtract from [tex]8x^3 + 4x^2 + 100[/tex]:

[tex]8x^3 + 4x^2 + 100[/tex] - ([tex]8x^3 + 20x^2[/tex]) = [tex]-16x^2 + 100[/tex]

Step 3

Divide [tex]-16x^2[/tex] by 2x. You get [tex]-8x[/tex].

Step 4

Multiply -8x by (2x + 5) and subtract from [tex]-16x^2 + 100[/tex]:

[tex]-16x^2 + 100[/tex] - ([tex]-16x^2 - 40x[/tex]) = 40x + 100

Step 5

Divide 40x by 2x. You get 20.

Step 6

Multiply 20 by (2x + 5) and subtract from 40x + 100:

40x + 100 - (40x + 100) = 0

From the three steps of the division, we got [tex]4x^2[/tex], -8x and 20.

Therefore, the quotient is [tex]4x^2 - 8x + 20[/tex]

Step-by-step explanation:

The square root of 5 can be approximately found by doing the square root of 4 to get 2, and the square root of 9 to get 3.  Then, because 5 is closer to 4 than 9, the square root of 5 is about 2.2.

Otherwise, simply do sqrt(5) in a calculator to get 2.23606798

Hope it helps <3

Answer:

17.32 minutes

Step-by-step explanation:

The standard deviation for a uniform distribution is:

[tex]\sigma =\frac{b-a}{\sqrt12}[/tex]

If a = 20 minutes and b = 80 minutes, the standard deviation is:

[tex]\sigma =\frac{80-20}{\sqrt12} \\\sigma=17.32\ minutes[/tex]

The standard deviation of the distribution of consumer usage time of computers in the public library is 17.32 minutes.

Answer:

a) 18

b) 20

c) 12

d) 12

Step-by-step explanation:

a) The triangle is half of the square, so you can find the area of the square(36) and divide by 2: so 18

b) There are 4 same sized blank triangles with area of 4 ( (2*4)/2 ) so 4 * 4 is 16. 16 is the blank area so the area of the shaded is 36 - 16: 20

c) There are 2 blank triangles which areas are 6, and 18, so you subtract those numbers from 36: 36 - (6+18) = 12

d) Another 2 same blank triangles with areas of 12 ( (6 *4)/2 )so you subtract them from 36 too: 36 - (12*2) = 36 - 24 = 12

Answer:

3.36:45=0,8

4.40:32=1,25

536:45=0,8

6.48:50=0,96

Hope it helps and likes it

Step-by-step explanation:

3- sin Z = opp/hyp

  sin Z = 27/45

   Z = sin-¹(27/45)

   Z = 37

4- tan C = opp/adjacent

   tanC = 24/32

   C = tan -¹ ( 24/32)

   C = 36.87 ( or 37)

5-  cos X = adj/hyp

    cos X= 36/45

    X = cos-¹ (36/45)

   X = 37

6- sin C = opp/hyp

   sin C = 14/48

   C = sin -¹ (14/48)

   C= 17  (or 16.96)

Answer:

Step-by-step explanation:

The order of a succession is a way that the terms (the first, the second, the third, etc.) can be distinguished according to a certain formation law or order criterion.

Example:

a¹/a²/a³/a⁴ And successively

In the order of a sequence you can assign any letter.

The answer is B. Shooting. Shooting is a sport on dry land, while the other three are aquatic sports, that is, they are on or in the water.

Answer:

4

Step-by-step explanation:

y=mx+b

b=y-intercept.

In this case...

mx=-5<-- this is the slope of the line.

b=4<-- y intercept.

Hope this helps, any further questions, please feel free to ask.

Answer:

Yes, because each x-value corresponds to one y value.

Step-by-step explanation:

If you look at the table, you notice that there is one output (y) for every input (x). This means that it is a function. It would NOT be a function if you had two outputs for an input. For example, there are two x values that are 6. For one coordinate pair, the table says (6,9) and (6,8). Since there are two values for the same input- it wouldn't be a function. In this case, there is an input of 4 and 5 with the same output. That is okay! Even though they have the same y value, those inputs still only have ONE output.

Answer:

The correct option is;

0.28

Step-by-step explanation:

The given data values are;

x,      f(x)

8,     12

12,    40

6,      15

20,    20

Where;

x = The number of flowers in the bouquet

f(x) = The total cost (in dollars)

The equation for linear regression is of the form, Y = a + bX

The formula for the intercept, a, and the slope, b, are;

[tex]b = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{N\sum X^{2} - \left (\sum X \right )^{2}}[/tex]

[tex]a = \dfrac{\sum Y - b\sum X}{N}[/tex]

Where:

N = 4

∑XY = 1066

∑X = 46

∑Y = 87

∑X² = 644

(∑X)² = 2116

b = (4*1066 - 46*87)/(4*644 - 2116) = 0.5696

a = (87 - 0.5696*46)/4 = 15.1996

The standard deviation of the x- values

[tex]S_X = \sqrt{\dfrac{\sum (x_i - \mu)^2}{N} }[/tex]

[tex]\sum (x_i - \mu)^2}[/tex] = 115

N = 4

Sx =√(115/4)

Sx = 5.36

[tex]S_Y = \sqrt{\dfrac{\sum (y_i - \mu_y)^2}{N} }[/tex]

[tex]\sum (y_i - \mu_y)^2}[/tex] = 476.75

N = 4

Sy =√(476.75/4)

Sy= 10.92

b = r × Sy/Sx

Where:

r = The correlation coefficient

r = b × Sx/Sy = 0.5696*5.36/10.92 = 0.2796 ≈ 0.28

The correct option is 0.28.

Answer:

C on edge

Step-by-step explanation:

Answer:

.72

Step-by-step explanation:

9 rounds up because 1-4 stay the same and 5-9 round up

Answer: 0.719 to the nearest hundredth is 0.72

Answer:

$45.

Step-by-step explanation:

When the TV is bought on hire purchase, you deposit $35 and pay $30 monthly. There are 12 payments. 12 * 30 = $360. 360 + 35 = $395.

Since cash would've cost $350, the amount of money saved by paying cash is 395 - 350 = $45.

Hope this helps!

Answer:

33 minutes

Step-by-step explanation:

To find the mean, you first must add up the values given.

45 + 25 + 35 + 20 + 40 = 165

Now, divide the sum by the number of values you have.

165/5 = 33

The mean number of minutes she spent practicing is 33.

Answer:

(i)  X+2 and x+3;

(ii) x( x+4)= X^2 +4x;

(iii) x( x+4)=a

    (x+1)(x+3)= a+3  

Step-by-step explanation:

(i)  X+2 and x+3;

(ii) x( x+4)= X^2 +4x;

(iii) (x+1)(x+3)=x^2+3X+X+3=x^2+4x+3;

x(x+4)=a

(x+1)(x+3)= a+3

Step-by-step explanation:

x is followed by x+1 so each time we add one

our sequence goes like this:

the first number is x and the fourth one is x+3

the second number is x+1 and the third one is x+2

the first product is x²+3x and the second one is x²+3x+2

Let P be x²+3x and P' be x²+3x+2

Step-by-step explanation:

The dimensions are (8-2x) and (10-2x) We will say the depth of the box is x. The equation we use for the volume of the box is V=x(8-2x)(10-2x)

Answer:

part b of the answer is x=1.5 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

This problem is based on unit conversion from miles per hour to  meter per second.'

From tables 1 mph= 0.44704 m/s

Given 248 mph to be converted to meters per second.

hence we have

1 mph= 0.44704 m/s

248 mph= x

cross multiplying we have

x= 110.86592 m/s

to the nearest hundreth we have