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3 years ago

How should the decimal point in 4.003 be moved to determine the product of 100 × 4.003?

Mathematics

1 answer:

tangare [24]3 years ago

7 0

Answer:

Two places to the right.

Step-by-step explanation:

Since theres two zeros in 100, move the decimal two places to the right, making it 400.3.

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PLEASE HELP ASAP.

alexandr1967 [171]

Answer:

$Y' = (-2, 4\frac{2}{3})$

Step-by-step explanation:

Given

$Y = (-3,7)$

$Scale\ Factor = (\frac{2}{3}x,\frac{2}{3}y)$

Required

Determine Y'

Y' can be solved by multiplying the scale factor by Y

i.e.

$Y' = Scale\ Factor * Y$

For, the x coordinates.

$Y' = \frac{2}{3}x$

Where

$x = -3$

$Y' = \frac{2}{3} * -3$

$Y' = \frac{-6}{3}$

$Y = -2$

For the y coordinates:

$Y' = \frac{2}{3}y$

Where

$y = 7$

$Y' = \frac{2}{3} * 7$

$Y' = \frac{14}{3}$

$Y' = 4\frac{2}{3}$

Hence:

$Y' = (-2, 4\frac{2}{3})$

3 0

3 years ago

The volume of a rectangular prism is 2,058cm. The Length of the prism is 3 times the width. The height is twice the width. Find

Nat2105 [25]

v = l x w x h

v = 2058

width = x

height = 2x

length = 3x

2058 = 3x*2x*x =

2058 = 6x^3=

343 = x^3

x = 7

2*7 = 14

3*7 = 21

21*14*7 = 2058

height is 14 cm

5 0

3 years ago

Explain how to solve 5^(x-2)=8 using log base b of y equals log y over log b. include the solution for x in your answer. round y

miskamm [114]

The value of x will be equal to 2.477.

<h3>What is a logarithm?</h3>

The logarithm is the inverse function of exponentiation in mathematics. That is, the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised in order to obtain that number x.

The given expression will be solved as follows;-

$5^{x-2}= 8$

Taking Log on both sides.

$Log_e 5^{x-2}=Log_e8$

(x-2) Log5 = Log 8

( x-2) = Log8 / Log 5

(x - 2) = Log 8 - Log 5

(x - 2 ) = Log 3

x-2 = 0.477

x = 2.477

Therefore the value of x will be equal to 2.477.

To know more about Logarithm follow

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5 0

2 years ago

In order for smallest to largest is 70% 2/3, 0.62,13/20,0.6

likoan [24]

Answer:

70% = 0.70

2/3 = 0.667

0.62

13/20 = 0.65

0.6 = 0.60

0.6 < 0.62 < 13/20 < 2/3 < 70%

8 0

3 years ago

The area of the hexagon is 24a2 – 18 square units. Which is an equivalent expression for the area of the hexagon based on the ar

Tresset [83]

The area of the hexagon 24a² -18 is equivalent to 6(4a² -3).

Option A is the correct answer.

<h3>What is a Hexagon ?</h3>

A polygon with 6 sides is called a Hexagon.

The area of a hexagon is equal to area of 6 equilateral triangles.

The area of hexagon is given as

24a² -18

6(4a² -3)

Therefore the area of the hexagon 24a² -18 is equivalent to 6(4a² -3).

Option A is the correct answer.

To know more about Hexagon

brainly.com/question/3295271

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3 0

2 years ago