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Reika [66]
3 years ago
6

A stamp has the Length of 1/2 cm and a width of 1 1/2 is the area of the stamps

Mathematics
1 answer:
avanturin [10]3 years ago
3 0

Answer:

Area =  \frac{3}{4} cm^2

Step-by-step explanation:

Given

Length =\frac{1}{2}\ cm

Width = 1\frac{1}{2}\ cm

Required

Determine the Area

Area is calculated as follows

Area = Length * Width

Substitute values for Length and Width

Area = \frac{1}{2} * 1\frac{1}{2}

Convert mixed fraction

Area = \frac{1}{2} * \frac{3}{2}

Area =  \frac{3}{4}

Hence, the area is

Area =  \frac{3}{4} cm^2

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PtichkaEL [24]

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4^{5x} = 3^{x-2}

\implies \log 4^{5x} = \log 3^{x-2}

Drop the exponents:

\implies 5x \log 4 = (x-2) \log 3

Expand the right side:

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Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :

\implies 5x \log 4 - x \log 3 = - 2 \log 3

\implies x (5 \log 4 - \log 3) = - 2 \log 3

Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :

\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}

You can stop there, or continue simplifying the solution by using properties of logarithms:

\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }

\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }

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You can condense the solution further using the change-of-base identity,

\implies \boxed{x = -\log_{\frac{1024}3}9}

5 0
2 years ago
Find the value of 5.8 ÷ 1.2. Round your answer to the nearest hundredth. A. 5.24 B. 4.83 C. 6.96 D. 4.6
Sedaia [141]

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rounded to the nearest hundredth

4.83

8 0
3 years ago
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Please Help!!
ryzh [129]

Answer:

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Step-by-step explanation:

Mai's distance divided by Noah's distance will give you your answer.

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3 years ago
How do you solve and show work for <br>624 divided by 8<br>​
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Step-by-step explanation:

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Use row operations to solve the system.
Aleks04 [339]

Answer:

x = 2, y = 7, z = 12

Step-by-step explanation:

x + y - z = -3 (1)

3x - y + z = 11 (2)

x - 4y + z = -14 (3)

add (1) and (2)

4x = 8 x = 2

add (1) and (3)

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3 years ago
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