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Aleksandr-060686 [28]
3 years ago
11

Next multiples of 1/5

Mathematics
1 answer:
eduard3 years ago
3 0
The next multiples of 1/5 are 2/5,3/5,4/5,5/5=1
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A population of 200 animals has a growth rate of 1.03% each year. at this growth rate, the function f(x)=200(1.03)^x gives the p
Y_Kistochka [10]
For this case, the first thing we should do is use the following equation:
 f (x) = 200 (1.03) ^ x
 We substitute f (x) = 300:
 300 = 200 (1.03) ^ x
 We clear the value of x:
 log1.03 (300/200) = log1.03 ((1.03) ^ x)
 x = log1.03 (300/200)
 x = 13.72
 Answer: 
 the population will first reach 300 in about 13.72 years.
6 0
2 years ago
IM GIVING BRAINLIEST!
Mariana [72]
Sorry i don’t know the answer but i’m new to this app, and was wondering what brainliest is?:)
6 0
3 years ago
You are to manufacture a rectangular box with 3 dimensions x, y and z, and volume v=8000. Find the dimensions which minimize the
Inga [223]

Answer:

20 by 20 by 20

Step-by-step explanation:

Let the total surface of the rectangular box be expressed as S = 2xy + 2yz + 2xz

x is the length of the box

y is the width and

z is the height of the box.

S = 2xy + 2yz + 2xz ... 1

Given the volume V = xyz = 8000 ... 2

From equation 2;

z = 8000/xy

Substituting into equation 1;

S = 2xy + 2y(8000/xy)+ 2x(8000/xy)

S = 2xy+16000/x+16000/y

Differentiating the resulting equation with respect to x and y will give;

dS/dx = 2y + (-16000x⁻²)

dS/dx = 2y - 16000/x²

Similarly,

dS/dy = 2x  + (-160000y⁻²)

dS/dy = 2x - 16000/y²

Note that at the turning point, ds/dx = 0 and ds/dy = 0, hence;

2y - 16000/x² = 0 and 2x - 16000/y² = 0

2y = 16000/x² and 2x = 16000/y²

2y = 16000/(8000/y²)²

2y = 16000×y⁴/64,000,000

2y = y⁴/4000

y³ = 8000

y =³√8000

y = 20

Given 2x = 16000/y²

2x = 16000/20²

2x = 16000/400

2x = 40

x = 20

Since Volume of the box is V = xyz

8000 = 20(20)z

8000 = 400z

z = 8000/400

z = 20

Hence, the dimensions which minimize the surface area of this box is 20 by 20 by 20.

3 0
3 years ago
JJ buys a video game for $50.00. If the sales tax is 8.25%
Galina-37 [17]

Answer:

$54.26

Step-by-step explanation:

Convert the percentage into a decimal by moving the decimal point 2 places to the left or divide by 100.

This will give you .0825.

Multiply this number by $50 and add it to it

6 0
3 years ago
This figure represents the base of a fish tank that is 8 inches high.
Igoryamba

The volume of the fish tank is 408 in³

To solve the volume of the fish tank, we need to understand what is the volume of plane shapes.

<h3>What is the volume of plane shapes?</h3>

The volume of plane shapes resembles a 3-dimensional space showing the area enclosed by the shape.

From the figure given:

The figure can be differentiated into two shapes;

  • A rectangle
  • A triangle

The volume of the rectangle is known as:

  • = Length × Breadth
  • = 7 inches × 6 inches
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The volume of the triangle is:

  • = 1/2 × base × height
  • = 1/2 × 3 × 6
  • = 9 inches²

The total volume of the base of the fish tank now is:

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Now, the volume of the fish tank is:

  • = Height × base of the fish tank
  • = 8 inches × 51 inches²
  • = 408 in³

Learn more about the volume of plane shapes here:

brainly.com/question/20475473

7 0
2 years ago
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