Anyango divided her 50 hectares farm as follows.maize took 35% of the farm beans 32%;potatoes 24% and millet took the remaining part.
a). What is the area covered by each crop in hectares?
b) Anyango increased the plot for beans by 11 and quater % and reduced the plot for potatoes by 15%in the following year.​

The cost is the same for each location when the cost function is equal. Therefore, we can equate the cost functions for both the locations to find out the number of units per week at each retail outlet:

Location 1:Cost function:

\(C1=300(\frac{500}{x1})+200(\frac{500}{y1})+500000\)

where x1 and y1 are the number of units supplied to Retail Outlets 1 and 2, respectively. Location 2:Cost function:

\(C2=400(\frac{500}{x2})+150(\frac{500}{y2}) +750000\)

where x2 and y2 are the number of units supplied to Retail Outlets 1 and 2, respectively . To find out the number of units per week at each retail outlet when the cost is the same using both locations, we need to equate the cost functions and solve for the variables as follows:

\(300(\frac{500}{x1})+200(\frac{500}{y1}) +500000=400(\frac{500}{x2})+150(\frac{500}{y2})+750000\)

Simplifying and rearranging terms, we get:

\(\frac{60}{x1} +\frac{40}{y1} = \frac{80}{x2} +\frac{30}{y2} -5000\)

..(1)Also, we know that the total number of units supplied to both retail outlets is 500 per week, i.e.,

\(x1 + y1 = 500 and x2 + y2 = 500\)

Solving the above equations (1) and (2), we get

\(:x1 = 250, y1 = 250, x2 = 400,\)

and y2 = 100Therefore, the number of units per week at each retail outlet is as follows:For Location 1, Retail Outlet 1 and 2 get 250 units each per weekFor Location 2, Retail Outlet 1 and 2 get 400 and 100 units per week, respectively.

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The exact value of cos^-1( √3/2) = 30°

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

There are special angles in trigonometry, this angles have exact value and can be obtained without using calculator. Examples of this calculator are; 30°, 60°, 45°

sin30 = 1/2

cos 30 = √3/2

tan 30 = 1/√3

cos 60 = 1/2

sin 60 = √3/2

tan 60 = √3

Therefore, if cos^-1( √3/2) = x

cos x = √3/2

cos 30 = √3/2

cos x = cos 30

therefore x = 30

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Answer:

this is true, just count by five four times

Step-by-step explanation:

Answer:

52qx

Step-by-step explanation:  

qx(5+21)x(2x)

Answer:

487=3x-17

487+17=3x-17+17

3x=53

3x/3=53/3

x=168

Step-by-step explanation:

The linear system of equation y =-6x+2 and 12x+  2y =- 4 has only one solution.

The linear equation is y = -6x+2 .

Now for any value of x we find the value of y ,

at x=0 ,y = 2

at x=1 , y = -4

at x=-2 , y = 14

Hence there are infinitely many solutions on the line . All points on the straight line are solutions.

The collection of variable values in a linear equation that yields every feasible solution is referred to as the "solution of a linear equation." In order to model real-world issues, linear equations include unknown quantities as one or more variables.

The locations where the lines or planes used to illustrate the linear equations intersect or meet are known as the solutions. The set of values for each variable in a system of linear equations is known as the solution set.

Disclaimer: the complete question is :

How many solutions does this linear system have Y =- 6x + 2 and 12x + 2y =- 4?.

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The value of given Integral is 8 ln(17) - 8 tan^-1(2). The vaue of Double integral is 2/3 - 2/pi. The volume of the given solid. 27/2 cubic units.

To evaluate the integral by reversing the order of integration, The region of integration is the rectangle with vertices (0, root 0), (0, 2), (16, root 16), and (16, 2). Reversing the order of integration, we get

Integral from 0 to 2 Integral from y^2 to 16 of 4/(y^3 + 1) dx dy

Evaluating the inner integral, we get

Integral from y^2 to 16 of 4/(y^3 + 1) dx = [4 ln(y^3 + 1)] from y^2 to 16

Substituting the limits of integration, we get

Integral from 0 to 2 of [4 ln(16^3 + 1) - 4 ln(y^6 + 1)] dy

= [4 ln(4097) y - 4 integral from 0 to 2 ln(y^6 + 1) dy]

= [4 ln(4097) y - 8 integral from 0 to 2 ln(y^2 + 1) dy]

= [4 ln(4097) y - 8 [(y ln(y^2 + 1) - 2 tan^-1(y))] from 0 to 2

= 8 ln(17) - 8 tan^-1(2)

To evaluate the double integral of 2y^2 over the triangular region D, we need to integrate with respect to x and then with respect to y. The limits of integration for x are x = 1 - y and x = sqrt(1 - y^2). The limits of integration for y are y = 0 and y = 1. So, we have

Integral from 0 to 1 Integral from 1 - y to sqrt(1 - y^2) of 2y^2 dx dy

= Integral from 0 to 1 [(2y^2) (sqrt(1 - y^2) - (1 - y))] dy

= Integral from 0 to pi/2 [(2 sin^2(t)) (cos(t) - sin(t))] dt (substituting y = sin(t))

= 2 Integral from 0 to pi/2 [sin^2(t) cos(t) - sin^3(t)] dt

= 2/3 - 2/pi

To find the volume of the given solid under the plane x - 2y + z = 9 and above the region bounded by x + y = 1 and x^2 + y = 1, we need to first find the intersection of the two curves. Solving the equations x + y = 1 and x^2 + y = 1, we get x = 0 and x = 1.

So, the region of integration is the rectangle with vertices (0, 0), (1, 0), (1, 1), and (0, 1). The equation of the plane can be written as z = 9 - x + 2y. So, the volume can be calculated as

Integral from 0 to 1 Integral from 0 to 1 (9 - x + 2y) dx dy

= Integral from 0 to 1 (9x - x^2 + 2xy) dy

= Integral from 0 to 1 (9y - y^2 + 2y) dy

= (27/2)

Therefore, the volume of the given solid is (27/2) cubic units.

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Answer: Times 5

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

\(\frac{7}{8}=0.875\)

Answer:

B

Step-by-step explanation:

I got this answer correct on a test

Answer:

The answer is D

Cuba, Poland, U.S., Argentina, Turkey, and Spain

Step-by-step explanation:

Basically, what it was asking, is what countries are over 90%? So, all you have to do - to put it simply - is just look at the countries that's numbers are greater than 90%

Answer:

√6 is the right answer. You're correct.

Step-by-step explanation:

√6=2.44948974278(irrational) because it has non repeating decimals

√900=39

√25=5

√0.16=0.4

1). Volume of the coin is 1.4 cm³

2). Volume of cylinder is 282.8 cm³

3). Volume and curved surface area of the cylinder are 2771.2 cm³ and 791.8 cm² respectively.

Volume of cylinder is calculated using:

V = π × r² × h

1) Volume of coin = 3.142 × (1.5cm)² × 0.2cm

Volume of coin = 1.4 cm³

2) Volume of the cylinder = 3.142 × (3cm)² × 10cm

Volume of the cylinder = 282.8 cm³

3) Volume of the cylinder = 3.142 × (7cm) × 18cm

Volume of the cylinder = 2771.2 cm³

Area of curved surface= 2πrh

Area of curved surface of the cylinder = 2 × 3.142 × 7cm × 18cm

Area of curved surface of the cylinder = 791.8 cm²

Therefore, the volume of the coin is 1.4 cm³.

(2) Volume of cylinder is 282.8 cm³

(3). Volume and curved surface area of the cylinder are 2771.2 cm³ and 791.8 cm² respectively.

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The minimum sample size needed to guarantee a given margin of error increases , the correct option is (b) .

What is Margin Of Error ?

The term margin of error is defined as an estimate of a small sample that is drawn from a relatively large population data.

the margin of error is usually governed by the parameters such as the standard deviation , sample size and desired confidence level.

to find missing term in the given statement , let us consider the values ,

where σ ⇒ Standard deviation for population

and m as "Margin of error"  and Z as "Empirical value of Z-score" at a given confidence level .

So , minimum sample size for given confidence level is given by

⇒ (Z×σ)²/m²

from above formula we can conclude that minimum sample size is directly related to population's standard deviation.

Therefore, the minimum sample size required would "increase" with the increase in population "standard deviation" .

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Answer:

Step-by-step explanation:

Ft

When the full moon is at position 3, positions 9 and 12 experience low tide.

The correct option is 9 and 12.

The positions of the moon and the sun have an impact on the tides of the Earth's oceans.

What is a tide?

Tides are the regular rise and fall of the sea level due to the gravitational influence of the Moon and the Sun on the Earth. The gravitational pull of the Moon on the Earth produces two tidal bulges, one on the side of the Earth facing the Moon and one on the side opposite the Moon. The Moon's gravitational pull causes high tides in the area of the bulge and low tides elsewhere on the Earth. The tides are affected by the location of the Sun and the Moon as they orbit the Earth.

In order to determine which two positions experience low tide, the Moon's position must be considered.

When the Moon is directly overhead or opposite to the Earth, its gravitational pull has the greatest effect, causing the greatest difference between high and low tides, also known as spring tides.

When the Moon is at a 90-degree angle to the Earth, its gravitational pull is less, causing a smaller difference between high and low tides, also known as neap tides.

In the given case, when the full moon is at position 3, positions 9 and 12 experience low tide.

Thus, the correct option is 9 and 12.

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The estimated thickness of the glass dish is approximately 0.02 cm or 0.0155 cm, rounded to the nearest hundredth.

To estimate the thickness of the glass dish, we need to convert the given measurements from inches to centimeters to ensure consistent units.

Given:

Length = 8.5 inches

Width = 6.75 inches

Height (thickness) = 2.5 inches

Density of glass = 2.23 grams per cubic centimeter

Mass of dish = 0.9 kilogram

To convert inches to centimeters, we use the conversion factor: 1 inch = 2.54 centimeters.

Length (converted) = 8.5 inches * 2.54 cm/inch = 21.59 cm

Width (converted) = 6.75 inches * 2.54 cm/inch = 17.15 cm

Height (converted) = 2.5 inches * 2.54 cm/inch = 6.35 cm

The volume of the dish can be calculated by multiplying the length, width, and height:

Volume = Length * Width * Height = 21.59 cm * 17.15 cm * 6.35 cm ≈ 2346.68 cm³

The mass of the dish is given as 0.9 kilograms, which is equal to 900 grams.

Density = Mass / Volume

2.23 g/cm³ = 900 g / 2346.68 cm³

To find the thickness of the glass, we rearrange the formula:

Thickness = Mass / (Density * Length * Width)

Thickness = 900 g / (2.23 g/cm³ * 21.59 cm * 17.15 cm)

Thickness ≈ 0.0155 cm or 0.02 cm (rounded to the nearest hundredth)

Therefore, the estimated thickness of the glass dish is approximately 0.02 cm or 0.0155 cm, rounded to the nearest hundredth.

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Step-by-step explanation:

AB=BC

8x+6=6x+18

2x=12

x=6

so

AB= 48+6=54cm

BC=36+18=54cm

AD=CD

8y+20=12y-8

-4y=-28

y=7

so

AD= 84-8=76cm

CD=56+20=76cm

AE=2x+4y

AE=2×6+4×7

AE=40cm

AC=2×40=80cm

Answer:

3n = 18

Step-by-step explanation:

(n + 1) + (n + 3) + (n + 5) = 27

Remove the bracket,

n + 1 + n + 3 + n + 5 = 27

Group like terms,

n + n + n + 1 + 3 + 5 = 27

Add similar elements,

3n + 9 = 27

Substrate 9 from both sides,

3n + 9 - 9 = 27 - 9

Simplify,

3n = 18

Simplify,

n = 6

We got the information, which n = 6.

3n = 3 × 6

= 18

The constant of proportionality is 12. The equation to represent the relationship is :  b = 12p.

Constant proportional:

A constant of proportionality is a constant value for the ratio of two proportional quantities. If the ratio or product is constant, the two variables are proportional. The value of the constant of proportionality depends on the type of relationship between the two given quantities (positive versus inverse variation).

According to the question:

From the above mentioned , the individual ratio of number of birdhouse (b) cans of paints is:

Now,

For 1st  pair,

   b/ p = 3/ 1/4

⇒ b / p = 3 ×4 /1

⇒ b/ p = 12

Again,

For 2nd pair,

   b /p = 9/0.75

⇒ b /p = 12

For 3rd pair,

 b /p = 18/3/2

⇒ b /p = 18× 2/3

⇒ b/ p = 12

Finally,

For 4th Pair =

⇒ b/ p = 20/2.5

⇒ b/ p = 12

As all the ratios are equivalent, the relationship between number of birdhouse (b) and cans of paints (p) is proportional. The constant of proportionality is 12. The equation to represent the relationship is :  

                                            b = 12p.

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Triangle EFG was transformed to create triangle E'F'G' with identical side lengths and angle measures, and the second triangle is rotated to the right. the transformation is a c. rotation. Therefore, option c. rotation is correct.

Rotation is the change that took place. A figure is transformed by a rotation in which the centre of rotation is moved from one side to the other. Triangle EFG was in this instance rotated to the right, or around a point to the left of the triangle.

The two triangles are said to be congruent if their side lengths and angle measurements are the same. As a result, they are capable of being changed into one another by a series of translations, rotations, and reflections.

A transformation known as a translation involves moving a figure while maintaining its original size and shape. Stretching is a transformation that increases a figure's size while maintaining its shape. A transformation that flips a figure over a line is called a reflection.

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Answer: c. rotation is correct.

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Given

10 = 7 - m ( subtract 3 from both sides )

3 = - m ( multiply both sides by - 1 )

- 3 = m , or

m = - 3

As a check

Substitute m = - 3 into the right side of the equation and if equal to the left side then it is the solution

7 - m = 7 - (- 3) = 7 + 3 = 10 = left side

Thus m = - 3 is the solution to the equation

Answer:

y = mx + b

Step-by-step explanation:

so you first put the points on the graph and connect them with a slanted line.

Next, for your equation start of with y =

then, your going to find your slope, after you find it put it in front of x (slope x) (Ex; if the slope was 3 then it would look like this 3x)

finally you write + and the y intercept (at which point the line goes through the y axis)

the equation together should look like y = slope x + y intercept

The degree of freedom, df value for the chi-square statistic is 3.

In this question,

The chi-square goodness of fit test evaluates whether proportions of categorical or discrete outcomes in a sample follow a population distribution with hypothesized proportions. As a hypothesis test, the chi-square goodness of fit test allows you to use your sample to draw conclusions about an entire population.

Here,

Sample, n = 100

Number of categories, the sample is divided = 4

df is the degrees of freedom.

If there is a K category in the dataset and we want to apply chi-square goodness of fit test. Then, their degree of freedom df will be of k-1.

Thus, degree of freedom, df = k - 1

⇒ df = 4 - 1

⇒ df = 3

Hence we can conclude that the degree of freedom, df value for the chi-square statistic is 3.

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Step-by-step explanation:

This is a reflection. A reflection is a transformation involving two shapes looking the same by "bouncing it off a line without coming back.( meaning a reflection goes some where else not to it original poistion.)

Others reason why Why?

Line m is perpendicular to Line c.

B and E are equidistant from c that BC=CE.

Why the others are wrong.

While you could rotate this triangle 180 degrees, the transformation occurs about a line not a point. So using a rotation is wrong.

A translation doesnt occur about a line.

A guide reflection doesnt work since the transformations are already mapped correctly if you do the reflection. It doesnt need a translation.