If a dozen eggs (12 eggs) are worth 3 cowry shells, how much would 6 dozen eggs be worth?


A.
36 cowry shells


B.
9 cowry shells


C.
18 cowry shells


D.
15 cowry shells

The number of countries ever visited is a discrete variable. Discrete variables are variables that can only take specific values, rather than any value within a range. The number of countries ever visited can only be a whole number, such as 0, 1, 2, 3, and so on, and not a fraction or decimal.

Pounds of chocolate consumed in the past year is a continuous variable. Continuous variables are variables that can take any value within a range. Pounds of chocolate consumed in the past year can be any value between 0 and a maximum value, such as 0.5, 1.5, 2.7, and so on.

Shoe size is a discrete variable. Shoe size is typically measured in whole numbers, such as 5, 6, 7, 8, and so on, and not in fractions or decimals.

Height in inches is a continuous variable. Height in inches can take any value within a range, such as 60, 61, 62, and so on.

The number of pets currently living in the household is a discrete variable. The number of pets can only be a whole number, such as 0, 1, 2, 3, and so on, and not a fraction or decimal.

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Answer:

2100

Step-by-step explanation:

let the unknown be x

5 : 2

x. 600

cross multiply

2x=3000

x= 3000

2

x=. 1500 .

Total amount collected= 1500+600

=2100

Answer:

b

Step-by-step explanation:

b. There is 5% probability that a true null hypothesis will be rejected.

A p-value of 0.05 represents the probability of obtaining a test statistic as extreme or more extreme than the one observed under the assumption that the null hypothesis is true. In other words, it is the probability of observing the data or more extreme data assuming the null hypothesis is true. It is also the threshold level of significance beyond which the null hypothesis is rejected in favor of the alternative hypothesis. A p-value of 0.05 means that there is a 5% probability that the observed results occurred by chance under the null hypothesis and that there is a 95% probability that the observed results occurred due to a real effect.

Assembly dept. allocation rate = $45 per MH; Packaging dept. allocation rate = $0.60/DL$; Total cost for Basic = $864,000; Total cost for Deluxe = $1,566,000; Cost/unit for Basic = $144/unit; Cost/unit for Deluxe  = $52/unit.

a) Assembly dept. allocation rate = $1,620,000 MOH / 36,000 MH = $45 per MH

Assembly dept. MOH allocated to Basic = 6,000 MH * $45/MH = $270,000

Assembly dept. MOH allocated to Deluxe = 30,000 MH * $45/MH = $1,350,000

b) Packaging dept. allocation rate = $810,000 MOH / $1,350,000 DL$ = $0.60/DL$

Packaging dept. MOH allocated to Basic = $990,000 DL$ * $0.60/DL$ = $594,000

Packaging dept. MOH allocated to Deluxe = $360,000 DL$ * $0.60/DL$ = $216,000

c) Total cost for Basic = $270,000 + $594,000 = $864,000

Total cost for Deluxe = $1,350,000 + $216,000 = $1,566,000

d) Cost/unit for Basic = $864,000 / 6,000 units = $144/unit

Cost/unit for Deluxe = $1,566,000 / 30,000 units = $52/unit

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(a) 1 sack of rice contains 100 kg of rice. If 1 basin of rice is equal to 20 cups, then 1 sack is equal to 40*20 = 800 cups.

Therefore, 1 basin of rice contains 100/40 = 2.5 kg of rice.

1 cup of rice contains 2.5/20 = 0.125 kg of rice.

(b) A trader buys a sack of rice for 6 000 and sells it at 200 per basin. If 1 sack contains 800 cups of rice, then the total revenue from a sack of rice is 800*200 = 160,000.

Therefore, the profit on a sack of rice is 160,000-6,000 = 154,000

(c) A trader charges #5 000 for a sack of beans and 140 for a basin. If four women buy a sack of beans between them, they share the beans equally, so each woman gets 1/4 of a sack of beans, which is equal to 1/440 = 10 basins of beans.

Each woman gets 10 basins of beans which cost 14010 = 1,400. If they had bought the beans individually at 140 per basin, they would have spent 140*10 = 1,400.

So each woman saves 5,000/4 = 1,250 by buying the beans in this way.

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Given System of equation has multiple solution.

Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

Given a system of equation:

-1 = 2x - y and  8x - 4y = -4​

From equation 1

-1 = 2x - y

y = 2x + 1

Substitute this value on equation 2

8x - 4y = -4​

8x - 4(2x + 1) = -4

-4 = -4

An equation can have infinitely many solutions when it should satisfy some conditions. The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line.

Thus, Given System of equation has multiple solution.

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Based on the information provided, it can be concluded that the vaccine trials most likely did not cause children to get polio as these are independent variables.

This type of bias implies people believe two events are related as a cause or effect. This often happens when one event follows another, and therefore people believe one event causes the other.

In this case, people are likely to believe the vaccine caused higher polio rates just because after the vaccine, polio rates seemed to increase. However, these two variables are independent as vaccines produce immunization against polio.

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Answer:

D) During translation, the cell uses information from messenger RNA to produce proteins.

Step-by-step explanation:

Hope it helps! =D

The average rate of change of the function  f(x) = 7x from x1 = 0 to x2 = 4 is solved to be 7

The rate of change is solved using the formula

= change in y / change in x

In the problem, the function is  f(x) = 7x from x1 = 0 to x2 = 4

hence y = f(x) =

For x = 0, y = 7 * 0 = 0

For x = 4, y = 7 * 4 = 28

rate of change

= 28 - 0 / 4 - 0

= 28 / 4

= 7

the rate of change is 7

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Answer: 40

Step-by-step explanation:

Answer:

C. Pulling a blue sock from a drawer of only blue socks

Step-by-step explanation:

If there is no other color in the drawer, only that color can be pulled certainly.

Here x = 5, The two angles are ∠B = 41° and ∠C=  63°.

A pentagon is a 2D polygon with five sides and five angles.

Pentagon is formed from three triangles, so the sum of angles in a pentagon = 3 × 180° = 540°.

We are given in the figure , following information about a pentagon:

3 angles are 90 degrees, one angle is (6x+1) degrees, and the other angle is (8x-11) degrees.

To solve for x, we need to add all of the angles together.

The sum of the angles in any polygon is always equal to (n-2)*180, where n is the number of sides in the polygon.

In this case, n=5, so the sum of the angles is (5-2)*180 = 540 degrees.

We can now solve for x by substituting our known values into the equation.

540 = 90 + (6x + 1) + (8x - 11)

540 = 14x

x = 540/14

x = 5

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Answer:

y=3x+4

slope is the slope obviously and insert the point into the y=3x+b

itll be 7=3(1)+b

so itll be 4=b

Answer:

  5.1% increase

Step-by-step explanation:

You want the percentage change in price per load when the price of detergent went from $16.99 for 52 loads to $16.49 for 48 loads.

The percentage change is given by the formula ...

  ((new price)/(old price) -1) × 100%

The price per load is found by dividing the price of the bottle of detergent by the number of loads it will wash.

  old price per load = $16.99/52 ≈ $0.32673

  new price per load = $16.49/48 ≈ $0.34354

Then the percentage change is ...

  (0.34354/0.32673 -1) × 100% ≈ 0.05145 × 100% ≈ 5.1%

The price per load has increased by about 5.1%.

The fundamental frequency of the flute of length 49.0 cm and with its one end closed is 175 hertz.

Given,

           Length of flute = 49.0 cm

           Speed of sound in air = 343 m/s

The flute closed from one end and is open from the other exhibits a standing wave pattern.

We know that,

                        [tex]f =\frac{v}{4L}[/tex]

Now substituting values in the above equation:

                       [tex]f = \frac{343}{4* (0.49)}[/tex]

                       [tex]f = 175 hz[/tex]

Thus, the fundamental frequency of the flute is 175 hertz.

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The price for the Suite room for check-in on Friday and Saturday is given as follows:

$278.75.

The price for the room is obtained applying the proportions in the context of this problem.

The price for the room on the period from Sunday until Thursday is given as follows

$223.

The price for the room on Friday and Saturday is 25% higher than from Sunday until Thursday, hence the price is given as follows:

1.25 x 223 = $278.75.

(as an increase of 25% is equivalent to a proportion of 1.25).

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The correct option B) x= 0,-3, are the values of x make the given quadratic equation true 3x = -x^2.

The stated quadratic equation is-

3x = -x^2

x^2 + 3x = 0

Taking x common.

x(x + 3) = 0

x = 0, -3

Thus, the values of x that makes the equation true are  0, -3.

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Answer:

10

Step-by-step explanation:

The purple line would be plotted at the level of output $60 billion, and the orange line segments would be plotted at 90, 95, 100, 105, and 110 respectively.

1. Plot the purple line at the level of output $60 billion.

2. Plot the orange line segments at 90, 95, 100, 105, and 110 respectively.

The long-run aggregate supply (RAS) curve is used to represent the natural level of output for an economy. In this case, the natural level of output is $60 billion of real GDP with a price level of 100. Therefore, the purple line should be plotted at the level of output $60 billion on the graph. The short-run aggregate supply (AS) curve is used to show how the level of output reacts to the price level. Therefore, the orange line segments should be plotted at 90, 95, 100, 105, and 110 respectively. This will show how the level of output changes when the price level is different from the natural level. This will help to illustrate how the economy may react when the price level is different than expected.

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The values of the following are:

Sin A = 0.71

Cos A = 0.71

Sin B = 0.71

Cos B = 0.71

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

Right triangle ABC.

∠C = 90

The other two sides are a = 8 and b = 8

This means,

The angle opposite to the side a = 8 and b = 8 are equal.

Now,

∠A = ∠C

∠C + ∠A + ∠B = 180

90 + ∠A + ∠B = 180

2∠A = 180 - 90

∠A = 90/2

∠A = 45

∠B = 45

Now,

c² = a² + b²

c² = 64 + 64

c² = 128

c = √128

c = 11.31

Thus,

Sin A = a/c = 8/11.31 = 0.71

Cos A = b/c = 8/11.31 = 0.71

Sin B = b/c = 8/11.31 = 0.71

Cos B = a/c = 8/11.31 = 0.71

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The area of the region in the first quadrant within the limacon r = 5 + sin(o) is 25π/2 + 5π - 2.

The definite integral that represents the area of the region in the first quadrant within the limacon r = 5 + sin(o) is given by:

∫0π/2 (5 + sin(o))2 do

This integral can be evaluated by using the formula for the area of a circle, A = πr2, and converting it to polar coordinates. Since the radius of the limacon is given by r = 5 + sin(o), the area of the region within the limacon is calculated by:

A = ∫0π/2 (5 + sin(o))2 do

 = ∫0π/2 (25 + 10 sin(o) + sin2(o)) do

 = 25π/2 + 5π - (cos(π/2) - cos(0))

 = 25π/2 + 5π - 2

Therefore, the area of the region in the first quadrant within the limacon r = 5 + sin(o) is 25π/2 + 5π - 2.

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Answer:

the first one is 16=-4+12

from here you can solve

Step-by-step explanation:

Answer:

the answer is 20

Step-by-step explanation:

y= –x+z

1. 16= –4+z

16+4=z

20=z

z=20

2. 15= –5+z

15+5=z

20=z

z=20

z=20 is true

The rectangular solar collector panel has a total area of 74.164 feet2 since the solar panel put on a roof makes a 54° angle with the horizontal.

A quadrilateral having four right angles, or rectangle, in Euclidean plane geometry. A quadrilateral that is equiangular, or one in which all of the angles are equal, is another way to describe it. Also possible is a straight angle in the parallelogram. With four sides that are of the same size, a square is a rectangle. Four 90-degree vertices and equal parallel sides make up a quadrilateral with a rectangle-like shape. Its equirectangular rectangle moniker derives from this. The term "parallelogram" also refers to a rectangle, which has equal and parallel opposite sides.

given

A=12h

sin54°= h/5

ℎ= 5 / sin54°

h= sin54° / 5

Therefore:  A=12 * sin54° / 5

74.164 feet2

The rectangular solar collector panel has a total area of 74.164 feet2 since the solar panel put on a roof makes a 54° angle with the horizontal.

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​

The electric field is the derivative of the electric potential with respect to position. So we can find the electric field by finding the derivative of V(y) with respect to y.

What does a math function mean?

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variablevariable).

dV/dy = 8y - 3

So, at position y=6, the electric field is E = dV/dy = 8*6 - 3 = 45

Therefore, the magnitude of the electric field at position (2,6) is 45 N/C.

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our function v(t) is differentiable in the interval 0 to 40, by mean value theorem a(t)=0 at least two value of t. it can be t=0 and t=5, which is smallest.

A test plane files in a straight line with positive velocity v(t), v is a differentiable function of t.

selected value of v(t) for 0≤ t≤ 40are shown in the table.

We have to justify that what is that smallest number of instances at which the acceleration of plane could equal to zero on the interval (0,40).

We are aware about mean value theorem.

somewhere between t=0 , t=5, v'(t) =0

because v(t) is a differentiable function.

also, t=25 and t=30

v'(t)=0 because

[tex]\frac{v(30)-v(25)}{30-25} =0[/tex],

this means a(t) =0 for at least two value of t.

So, our function is differentiable in the interval 0 to 40, by mean value theorem a(t)=0 at least two value of t. it can be t=0 and t=5.

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In Amanda's case, an example of a parameter is the national average income for mechanical engineers.

As a mechanical engineer, Amanda is now seeking employment. Additionally, she is paid in line with both the national average for Mechanical engineers as well as the average for Mechanical engineers in our community. In Amanda's instance, a parameter example is needed, thus that is what the question asks for. The population's traits are referred to as a parameter, whereas the sample's characteristics are referred to as statistics.

Due to its gifts and the information it provided that was close to the average population slurry, it constitutes a parameter here. A representative sample of mechanical engineers is Amanda's city. In Amanda's city, the slurry from a sample is the mechanical engineers' average annual pay. They have therefore taken a representative sample of all the mechanical engineers in the city from the larger population.

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Put the decimal point to the right to make the divisor a full number if it isn't already. The dividend's decimal point should likewise be moved the same number of spaces to the right (adding some extra zeros if necessary.)

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Answer: √6/8 x √6/18

Step-by-step explanation: The square root of A over B is the same as the squared of A, so it's important to know that before I start with this product. To go over the square.

I can do that if I combine the two square roots under the exact square root. This is only for multiplication.

I could take the square root of the term separately

Since I'm using fractions, I'll add the tops and bottoms to the equation.

The square root is eight times 18 and the squared root is six times six. It is the square to 36 over. It's eight times 18. There are 44 items.

The square to 36 is a question. I don't know what time it gives me. There were 36. 36 times six is 6. Six Over would be this. What time gives me 1 44?

Twelve times. 6/12 would be the day. It doesn't want me to reduce that, but I could.

The answer would be 6/12.

2 and 1/4 chocolate and shared it among her eight friends.

24 people did he share with candy bar.

What is meant by chocolate ?

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