Eight workers are hired to weed a field by
hand. Each is given a plot which is 9×7
meters in size. What is the total area of
the field?

Answer: 83.3

Step-by-step explanation:

0.98 x 85 =83.3

Answer: 83.3 hope this helps.

Answer:

8

Step-by-step explanation:

Given: x=2

Then,

5x-2 = 5(2)-2

= 10-2

=8

Answer: .209

Step-by-step explanation:

took the test

The infinite geometric series will converge if the common ratio of the next terms is 1/5. Each phrase in this series is created by multiplying the one before it by a fifth.

The series converges when the common ratio's absolute value (in this case, 1/5 of 1) is smaller than 1. We may use the formula for the sum of an infinite geometric series, which is provided by S = a / (1 - r), where 'a' is the first term and 'r' is the common ratio, to calculate the sum of the infinite series. In this instance, a = 1/5 and r = 1/5 are substituted into the formula to yield S = (1/5) / (1 - 1/5) = 1/4. As a result, the total of the infinite geometric series 1/5 is equal to 1/4.

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There is only one solution for the equation 4z + 2(z -4) = 3z + 11 because the exponent for the power of z is 1.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

A solution is any value of a variable that makes the specified equation true.

According to the given information:

4z + 2(z-4)= 3z+11

Solve the equation,

4z+2z-8=3z+11

6z-3z=11+8

3z =19

z=

Hence,

Number of solution that can be found for the equation 4z + 2(z-4)= 3z+11 is option(2) one

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The divergence theorem is used to compute the net outward flux of the vector field across the boundary of a region in the first octant.

The divergence theorem, also known as Gauss's theorem, relates the flux of a vector field across a closed surface to the divergence of the field within the enclosed region.

In this case, we are given a region "d" in the first octant between the planes z = xy and z = xy. To compute the net outward flux of the vector field "f" across the boundary of region "d", we can apply the divergence theorem.

The divergence theorem states that the flux across the boundary is equal to the triple integral of the divergence of the vector field over the volume enclosed by the boundary.

By evaluating this triple integral, we can determine the net outward flux.

The net outward flux represents the total flow of the vector field through the surface boundary, taking into account both the magnitude and direction of the field.

It provides valuable information about the behavior and characteristics of the vector field within the given region.

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Answer:

p(draw a blue or red marble)= 16/21

Step-by-step explanation:

8+8/21 because p(blue marble)=8/21 and p(red marble)=8/21

Answer:

(-1,-1)

Step-by-step explanation:

Answer:

x = 40°

Step-by-step explanation:

In circle with center O.

The finite population correction factor is used in computing the standard error of the sample mean when the sample size is smaller than 5% of the population size.

The finite population correction factor is a adjustment made to the standard error of the sample mean when the sample is taken from a finite population, rather than an infinite population.

It accounts for the fact that sampling without replacement affects the variability of the sample mean.

When the sample size is relatively large compared to the population size (more than half), the effect of sampling without replacement becomes negligible, and the finite population correction factor is not necessary.

In this case, the standard error of the sample mean can be estimated using the formula for sampling with replacement.

On the other hand, when the sample size is small relative to the population size (less than 5%), the effect of sampling without replacement becomes more pronounced, and the finite population correction factor should be applied.

This correction adjusts the standard error to account for the finite population size and provides a more accurate estimate of the variability of the sample mean.

Therefore, the correct answer is option 2: the finite population correction factor is used when the sample size is smaller than 5% of the population size.

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Answer:

(-8, 8)

Step-by-step explanation:

Plug in the y from the top equation into the y of the bottom equation

x² + (x + 16)² = 128

x² + x² + 32x + 256 = 128

Subtract 128 from both sides to make it equal to zero

2x² + 32x + 256 = 128

                 - 128    - 128

2x² + 32x + 128 = 0

Divide both sides by 2

(2x² + 32x + 128)2 = 0/2

x² + 16x + 64 = 0

Factor the equation

(x + 8)(x + 8) = 0

We see that x will have to be -8 for it to equal zero

so x = -8

Plug the new x into one of the original equations; let's use the top one

y = -8 + 16

y = 8

The number that is irrational among the option is √0.036.

An irrational number is a type of real number which cannot be represented as a simple fraction.

Irrational numbers cannot be written as a ratio of two integers.

Therefore, any numbers  that cannot be written as a simple fraction is an irrational number.

Example of irrational numbers are π, √2 etc.

Hence, rational numbers among the options are  7.25, √1 and 10.

The only irrational number is √0.036. This is because the number cannot be written as a simple fraction.

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Answer:

\(3(a^2+2a)\)

Step-by-step explanation:

\(\sqrt{3a}(\sqrt{12a}+a\sqrt{3a}) \\ \\ =\sqrt{36a^2}+a\sqrt{9a^2} \\ \\ =6a+a(3a) \\ \\ =3a^2+6a \\ \\ =3(a^2+2a)\)

Answer:

i hope its right, im taking the test, i put A

Step-by-step explanation:

To solve triangle ABC, we are given:

Angle A = 35.8°

Side a = 3.3 units

Side c = 13.7 units

To determine the triangle, we need to find the remaining angles and sides.

Using the Law of Sines, we can write:

sin(A) / a = sin(C) / c

Substituting the given values:

sin(35.8°) / 3.3 = sin(C) / 13.7

Now we can solve for sin(C):

sin(C) = (sin(35.8°) * 13.7) / 3.3 ≈ 0.7202

To find angle C, we can use the inverse sine function:

C = sin^(-1)(0.7202) ≈ 46.3°

Now that we have angle C, we can find angle B:

B = 180° - A - C

B = 180° - 35.8° - 46.3° ≈ 97.9°

To find side b, we can use the Law of Sines:

b / sin(B) = a / sin(A)

Substituting the given values:

b / sin(97.9°) = 3.3 / sin(35.8°)

Solving for b:

b = (3.3 * sin(97.9°)) / sin(35.8°) ≈ 6.68

Therefore, the possible solution for triangle ABC is:

A = 35.8°, B ≈ 97.9°, C ≈ 46.3°

a = 3.3 units, b ≈ 6.68 units, c = 13.7 units

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Answer:74 blue beads and 90 purple beads

Step-by-step explanation:

first you need to take the total number of beads 164 divide by the 2 colors so 164÷2=86 then you subtract the 8 more purple from 1/2 of 86 and you get 74 then you add 8 more to the other half of 82 and get 90 purple and 74 blue.

If a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two

When a categorical variable that has n categories is to be included as an independent variable in a linear regression analysis, it must be converted to n - 1 dummy variables. The reason for this is that including all n categories as dummy variables would cause perfect multicollinearity in the regression analysis, making it impossible to estimate the effect of each variable.In this case, the set of categories {Red, Blue, Green, Yellow} has four categories. As a result, n - 1 = 3 dummy variables are required to represent this variable in a linear regression. This is true since each category is exclusive of the others, and we cannot assume that there is an inherent order to the categories.The dummy variable for the first category is included in the regression model by default, and the remaining n - 1 categories are represented by n - 1 dummy variables. As a result, the number of dummy variables that are required to represent the categorical variable in the regression model is n - 1.

Thus, if a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two .

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The unit rate for the given proportional relationship is k = 15.

A proportional relationship between two variables can be written as:

y = k*x

Where k is the constant of proportionality (also called the unit rate).

If we look at the graph, we can see that the line passes through the point (1, 15).

This means that when x = 1, we must have y = 15.

Replacing that in the proportional relation we get:

15 = k*1

Solving for k:

k = 15/1 = 15

So we conclude that the unit rate is 15.

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Answer:

3630

Step-by-step explanation:

726*5

= (700+20+6) * 5

= (700*5) + (20*5) + (6*5)

= 3500 + 100 + 30

= 3600 + 30

= 3630

Answer:

lets find the exact value of w

7w - 7 = 7

+7        +7

7w = 14

/7     /7

w = 2

Now let's replace w with 2

5(2) + 1 = 11

Answer:

270 miles is your answer

Step-by-step explanation:

Answer:

1024

Step-by-step explanation:

Answer:

2^4 x 4^3

Step-by-step explanation:

Hi! I'm happy to help!

Our net is composed of three shapes. Two congruent circles, and one rectangle. Our rectangle is 12cm by 2cm. Multiplied together, our rectangle has an area of 24cm².

We have our circle equation: A=\(\pi\)r². It said to use 3 for pi, so our equation can be A=3(r²)

Radius is always half the length of our diameter. Our diameter is 4cm, so our radius will be 2cm.

Now, let's insert our values:

A=3(2²)

Now, let's solve:

A=3(4)

A=12

So, our area for one of the circles is 12cm². Since our circles are congruent, they will have the same area. Now, we have all 3 areas of all the shapes.

24+12+12=48cm²

Now, we need to name the figure. This is a net of a 3 dimensional shape. Since the net has circles on opposite sides, the rectangle must wrap around the circumference of both circles. This means that the 12cm must be equivalent to the circumference of the circle. Our circumference is 2\(\pi\)r, or 2(3)(2), which is 12. So, with congruent circles on top and bottom, and a rectangle wrapping around, this seems to be a cylinder.

So, our Total Surface Area is 48cm², and the figure is a cylinder.

I hope this was helpful, keep learning! :D

1. True: If Spain has an absolute productivity advantage in producing shoes, then it will have a lower opportunity cost for producing shoes than the rest of the world, allowing them to sell them at a lower price, which would encourage exporting.

2. True: The Ricardian Model explains how nations can gain by specializing in the production of goods that they are relatively more efficient in producing and then trading. It can be used to explain how workers in the same sector can be differently affected due to international trade. 3. Uncertain: The extent to which a specific or mobile factor of production benefits from trade (or trade liberalization) depends on several factors, and cannot be generalized.

4. False: Suppose that Home has a relative abundance of L compared with Foreign, then it means that K is scarce relative to L in Home. Thus, K owners in Home will benefit from free trade policies as it will lead to an increase in the demand for K.

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Answer:

Annika is 15 years old and Rohan is 7 years old.

All parts of the problem given have been explained and provided below.

Variables in any particular dataset are defined as any characteristics, numbers, or quantity that can be measured or counted to give information about any object, on which the dataset is based.

So, the variables in this given dataset are;

Overall score

Recommended

owner satisfaction

Overall miles per gallon

Acceleration (0-60) sec

Categorical or qualitative variables are those which can't be quantified or measured. Their values are defined by an order relation between the different categories.

the categorical variables in this dataset are,

Recommended

Owner satisfaction

Quantitative variables are those which can be measured in an order to provide information about an object.

the quantitative variables in this dataset are,

Overall score

Overall miles per gallon

Acceleration (0-60) sec

In the given dataset, 7 vehicles are recommended,

So their percentage would be,

7/15 × 100 = 46.67%

The average overall miles per gallon of these 15 vehicles is 25.4.

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Answer:

Its approximately 250

Step-by-step explanation:

If you had like a ruler or something you could get the exact numbers.

I did 100 + 60 + 45 + 45

To prove the relationship between the illumination at two different distances from a lamp, we can use the inverse square law of light propagation. According to this law, the intensity or illumination of light decreases as the distance from the source increases.

The inverse square law states that the intensity of light is inversely proportional to the square of the distance from the source. Mathematically, it can be expressed as:

I1 / I2 = (D2 / D1)^2 where I1 and I2 are the illuminations at distances D1 and D2, respectively. In this case, we are given that the illumination from the lamp at a distance of 1 m is 10 m/m^2 (meters per square meter). Let's assume that the illumination at a distance of 0.5 m is I2.

Using the inverse square law, we can write the equation as:

10 / I2 = (1 / 0.5)^2

Simplifying the equation, we have:

10 / I2 = 4

Cross-multiplying, we get:

I2 = 10 / 4 = 2.5 m/m^2

Therefore, we have proven that the illumination at a point 0.5 m away from the lamp is 2.5 m/m^2, not 40 m/m^2 as stated in the question. It seems there may be an error or inconsistency in the given values.

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