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Inessa [10]
3 years ago
5

Choose the correct simplification of the expression (2x2y6z5)(5x4y5z3).

Mathematics
1 answer:
erastovalidia [21]3 years ago
8 0

Answer:

The correct option is 4.

Step-by-step explanation:

The given expression is

(2x^2y^6z^5)(5x^4y^5z^3)

Simplify the given expression.

(2x^2y^6z^5)\times (5x^4y^5z^3)

(2\times 5)(x^2x^4)(y^6y^5)(z^5z^3)

10x^{2+4}y^{6+5}z^{5+3}                  [\because x^mx^n=x^{m+n}]

10x^6y^{11}z^8

Therefore correct option is 4.

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I need help with this work
STatiana [176]

Answer:

G. 245.04cm²

Step-by-step explanation:

The shortest way to solve this problem would be:

total surface area = 2 * π * r² + (2 * π * r) * h

or

total surface area = 2 * π * r * (r + h).

Diameter = 6

Radius = 3

Height = 10

The radius is half the diameter

TSA = Total surface area

TSA = 2 π 3(3+10)

TSA = (2)(3.141593)(3)(3+10)

TSA = (6.283185)(3)(3+10)

TSA = 18.849556(3+10)

TSA = (18.849556)(13)

TSA = 245.044227

TSA = 245.04

Or you could do the longer way, which would be:

Step 1: Find the surface area of the curved part of the cylinder

Surface Area (Curved) = 2 x π x Radius x Height

Step 2: Find the surface area of the two ends of the cylinder

Surface Area (Ends) = 2 x π x Radius²

Step 3: Add the surface are of the curved part to the surface area of the ends

Surface Area (Total) = Surface Area (Curved) + Surface Area (Ends)

For the cylinder in the picture:

A cylinder has a height of 10 and a diameter of 6

Hence, Radius = d/2 = 6/2 = 3 cm

Surface Area (Curved) = 2 x pi x 3 x 10

Surface Area (Curved) = 188.495559

Surface Area (Ends) = 2 x pi x 3²

Surface Area (Ends) = 2 x pi x 25

Surface Area (Ends) = 56.548668

Surface Area (Total) = 245.044227

245.04 is the result of rounding 245.044227 to the nearest hundredth

7 0
2 years ago
In two years tom will be twice as old as 5 years ago how old is tom
lisabon 2012 [21]
In two years tom will become 10 years old
Because 5×2=10
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A dentist office gives a survey to all wisdom teeth extraction patients asking them to rate the quality of their dental experien
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3 years ago
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Asap help 100 points
gregori [183]

Answer:

(4x + 2)° = (6x -10)°

4x + 2 = 6x - 10

4x -6x = -10 -2

-2x = -12

x = <u>-</u><u>12</u>

-2

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A robot’s height is 3 meters 40 centimeters. How tall is the robot in millimeters?
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Answer:

3400

Step-by-step explanation:

if you add it all up in cm, which is 340cm then divide by 10 you get 3400.

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