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Using proportions, it is found that 375 products are produced with 15 workers in 5 hours.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have that the rule of three are given as follows:

1000 products - 20 workers - 10 hours.

x products - 15 workers - 5 hours.

The measures are direct proportional, hence:

[tex]\frac{1000}{x} = \frac{20}{15} \times \frac{10}{5}[/tex]

[tex]\frac{1000}{x} = \frac{40}{15}[/tex]

Applying cross multiplication:

40x = 15(1000)

x = 15(1000)/40

x = 375.

375 products are produced with 15 workers in 5 hours.

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An equation is formed of two equal expressions. The equation of the new graph will be y=|1/(2x-4)|+3.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation given is  [tex]y=\left|\dfrac{1}{2x-2}\right|+3[/tex], which is needed to be translated 1 unit to the right therefore, the value of x should be decreased by 1. Therefore, the equation of the new graph will be,

[tex]y=\left|\dfrac{1}{2(x-1)-2}\right|+3\\\\\\y=\left|\dfrac{1}{2x-2-2}\right|+3\\\\\\y=\left|\dfrac{1}{2x-4}\right|+3[/tex]

Hence, the equation of the new graph will be y=|1/(2x-4)|+3.

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Answer:

16

Step-by-step explanation:

3x - 12 = 36

3x = 48

x = 16

Answer:

91.9/29.1=3.15807560137

so around 3.16

Answer: 25.52

Step-by-step explanation: correct on khanacademy

Answer:

1/4

Step-by-step explanation:

Answer:

the answer is 8

Step-by-step explanation:

a2+3b÷c-2d

3×2+3×8÷2-10

6+24÷2-10

6+12-10

18-10

=8

Answer:

It's X=3y = -9

Step-by-step explanation:

helping!!!

If she is only interested in creating a small number of clusters.The type of clustering method that would work best is: k-means clustering.

k-means clustering can be defined as a quantization techniques that is used to divide or seperate or data into number of groups in which each of the observation is linked to a prototype cluster or vectors.

Based on the given scenario k-means clustering method is the best choice as this will result in efficiency and make her work faster and easier.

Therefore the type of clustering method that would work best is: k-means clustering.

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The unit fraction for an area (or anything, for that matter) divided into n equal parts is 1/n.

A fraction represents a part of a number or any number of equal parts.

We have to draw lines to divide the shape into parts with equal areas.

The unit fraction for an area (or anything, for that matter) divided into n equal parts is 1/n.

The area of the first shape as a unit fraction is 1/2.

The area of the second shape as a unit fraction is 1/3.

The area of the third shape as a unit fraction is 1/6.

For 2 equal parts, it is 1/2.

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Answer:

  (a)  sec²(θ) -tan²(θ) = 1

Step-by-step explanation:

The identity relation between sec(θ) and tan(θ) is ...

  tan²(θ) +1 = sec²(θ)

__

When tan²(θ) is subtracted from both sides of this equation, the result matches the first choice:

  sec²(θ) -tan²(θ) = 1

_____

Additional comment

This is a variation of the "Pythagorean" relationship between sine and cosine. There is a similar relation between cot²(θ) and csc²(θ).

  [tex]\sin^2\theta+\cos^2\theta=1\\\\\dfrac{\sin^2\theta}{\cos^2\theta}+\dfrac{\cos^2\theta}{\cos^2\theta}=\dfrac{1}{\cos^2\theta}\qquad\text{divide by $\cos^2\theta$}\\\\\tan^2\theta+1=\sec^2\theta[/tex]

Answer:

In the picture is how to solve it

Step-by-step explanation:

Answer:

We are multiplying sin theta by sec theta, so we first start with valuing sec theta. Re-evaluate sec theta as sec(theta), and get the reciprocal.

[tex]sin(theta) * \frac{1}{cos(theta)}[/tex] <-- reciprocal

Combine sin() with the reciprocal of sec theta.

[tex]\frac{sin(theta)}{cos(theta)}[/tex]

Rewrite this combination as tan(theta)

[tex]tan(theta)[/tex]

Since the sides are equal, they count as an identity.

[tex]sin(theta) * sec(theta) = tan(theta)[/tex]

That said, sin(theta) × sec(theta) = tan(theta) is an identity.

Solving the trigonometric equation, it is found that during the first 11 years, the population size will be of 4700 in 3.62 and 7.24 years.

It is given by:

[tex]p(t) = 4096 - 1269\cos{\left(\frac{2\pi}{11}t\right)}[/tex]

It will be of 4700 when p(t) = 4700, hence:

[tex]p(t) = 4096 - 1269\cos{\left(\frac{2\pi}{11}t\right)}[/tex]

[tex]4700 = 4096 - 1269\cos{\left(\frac{2\pi}{11}t\right)}[/tex]

[tex]604 = - 1269\cos{\left(\frac{2\pi}{11}t\right)}[/tex]

[tex]\cos{\left(\frac{2\pi}{11}t\right)} = -\frac{604}{1269}[/tex]

[tex]\cos{\left(\frac{2\pi}{11}t\right)} = -0.47596532702[/tex]

[tex]\cos^{-1}{\cos{\left(\frac{2\pi}{11}t\right)}} = cos^{-1}{-0.47596532702}[/tex]

Then:

[tex]\frac{2\pi}{11}t = 2.06685766[/tex]

[tex]t = \frac{11 \times 2.06685766}{2\pi}[/tex]

[tex]t = 3.62k, k = 1, 2, ...[/tex]

Thus:

t = 3.62 x 1 = 3.62

t = 3.62 x 2 = 7.24.

The population size will be of 4700 in 3.62 and 7.24 years.

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Answer:

Let's say a factor in the watercycle is vegetation. Deforestation leads to less vegetation which means less transpiration which affects how the water reenters the atmosphere. In addition, the trees can no longer catch water in their leaves, absorb it, or filter pollutants through their roots before it runs off into say a local body of water.

Answer: i can not see it

Step-by-step explanation:

The total hours that Karen spent baby-sitting on the weekend is 7 hours.

a + b = 8 hours equation 1

6a + 13b = 55 equation 2

Where:

Multiply equation 1 by 13

13a + 13b = 104 equation 3

Subtract equation 2 from equation 3

7a = 49

a = 7 hours

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Answer:

#2 is 12 and #3 is 45

Step-by-step explanation:

Step 1:  Determine 25% of 48

[tex]48 * \frac{25}{100}[/tex]

[tex]48 * 0.25[/tex]

[tex]12[/tex]

Step 2:  Determine 150% of 30

[tex]30 * \frac{150}{100}[/tex]

[tex]30 * 1.5[/tex]

[tex]45[/tex]

Answer:  #2 is 12 and #3 is 45

Step-by-step explanation:

Topic :- Percentage Increase

= Cost price × Rate/one hundred

⇒ 34.90 × 9/100

⇒ 314.1/100

⇒ 3.141

Therefore, the sale tax of the elephant would be $3.141

Answer:

3.15

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The solid line is y = -x + 9, and everything below it is shaded, so the correct sign is less than or equal to.

Putting the two pieces of information together, the equation you get is:

D. y ≤ -x + 9

Answer:

At least 2 sides that are the same lenth

Step-by-step explanation:

Equilateral triangle - All the sides have the same lenth

Isosceles triangle - 2 sides that are the same lenth

Answer(s)

Problem 15: x = -16

Problem 12: y = 20

Problem 13: y = 7

Problem 14: x = -7

Answer:

see below

Step-by-step explanation:

450 + 60x <= 900

60x <= 450

x <= 7.5      ~ 7 weeks     After 7 weeks you will not have enougn money for a full week's worth of chow.  

Answer:

(0, -4)

Step-by-step explanation:

J: (0, -2)

Since the equation: [(1/2) x, (1/2) y] was used to create the image, the opposite would create the answer.

x: (2) × 0 = 0

y: (2) × (-2) = -4

(0, -4)

I hope this helps!

3√y^2

We can write it as,

⇒ y 2/3

Because,

n√a  = a 1/n

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Answer:

The distance to the center of the earth from the equator is 6,378 km or 33,963 miles, whereas the distance to the center of the earth from a pole is 6,357km or 3,950 miles. Complete answer: The average distance from the surface of the earth to its center is 6,371 km or 3,959 miles.

Answer:

c

Step-by-step explanation:

did it got a 100

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Step-by-step explanation:

< 2 = 37 = <4 (vertically opposite angles)

<3 = 180-37 = 144

<1 = 144

<2 = <8 = 37 ( alternate angles)

<3 = <5 = 144 (alternate angles)

<8 = <6 = 37 (vertically opposite angles)

<5 = <7 = 144 (alternate angles)

Answer:

D -- Triangular prism

Step-by-step explanation:

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