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2 years ago

Express in exponential form. log2(x)=3

1 answer:

3 0

The relationship between logarithms and exponentials is that they are inverses of each other. That is, they are reflected about the line y = x.
In order to rewrite logarithms, we need to understand the basic fundamentals of them:
$log_ab = y$

This is essentially saying: "If we raise a to the y-th power, we get the answer to b".
Using this, we can say:
$log_2x = 3 \rightarrow 2^{3} = x$

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Kelly and Daniel wrote the following proofs to prove that vertical angles are congruent. who is correct?

katrin [286]

Kelly? Im not sure actually... Im going with Kelly but im probably wrong

7 0

3 years ago

Read 2 more answers

What ratio is proportional to 18/21

Doss [256]

Answer:

There are many.

Step-by-step explanation:

When you say proportional, you are looking for a ratio that is equivalent to the ratio given. In your case, there are many so you might need to be more specific. But still, we can help you figure it out.

An easy way to do this would be to scale it down to its simplest form and then move upwards. To find proportional ratios, just multiply denominator and the denominator with the same factor.

$\dfrac{18}{21} = \dfrac{6}{7}$

That is your ratio in its simplest form. Now we can scale up, I'll show you how to do one completely:

$\dfrac{6}{7} x \dfrac{2}{2} = \dfrac{12}{14}$

That's the same ratio scaled up by a factor of 2.

---------------------------------------------------------------------------------------

$\dfrac{6}{7} x \dfrac{3}{3} = \dfrac{18}{21}$

That's the ratio given

---------------------------------------------------------------------------------------

$\dfrac{6}{7} x \dfrac{4}{4} = \dfrac{24}{28}$

Scaled up by a factor of 4

---------------------------------------------------------------------------------------

$\dfrac{6}{7} x \dfrac{5}{5} = \dfrac{30}{35}$

Scaled up by a factor of 5.

The list goes on and on.

3 0

2 years ago

2. The height of one square pyramid is 24 m. A similar pyramid has a height of 8 m. The volume of the larger pyramid is 648 m3.

Dmitrij [34]

Larger PyramidHeight 24 Volume 648

Pyramid Volume = (Area of the Base * Height) ÷ 3648 = Base Area * 24 / 3Base Area = 648 * 3 / 24Base Area = 648 / 8Base Area = 81Base Length = 9
a) The Scale Factor between the Small & Large PyramidLength - 3LATERAL Area - 9Volume - 27

Slant Height^2 = 4.5^2 + 24^2Slant Height^2 = 596.25 Slant Height^2 = 24.4182308941 
b)
Large Pyramid Area = (½ * Perimeter of Base * Slant Height) + Base AreaLarge Pyramid Area = (.5 * 36 * 24.4182308941) + 81
Large Pyramid Area = 439.5281560938 + 81
Large Pyramid TOTAL Area = 520.5281560938 Large Pyramid LATERAL Area = 439.5281560938 

**********************************************************************************c)
Smaller PyramidHeight 8Surface Area = 124
This pyramid has dimensions that are one third of the larger pyramid.Therefore, it has a base length of 3.Base Area = 9.
Its base perimeter would be 12.
Small Pyramid Volume = (Area of the Base * Height) ÷ 3Small Pyramid Volume = ( 9 * 8 ) / 3Small Pyramid Volume = 72 / 3
c) Small Pyramid Volume =24 cubic meters

d) Ratio of larger pyramid volume to smaller pyramid volume648 / 24 = 27The reason? Volume is a 3 dimensional quantity. The Larger pyramid is 3 times larger in terms of the base measurement.9 meters vs 3 meters - a factor of 3When we compare volumes, we have to cube this factor.3^3 = 27

Source : http://www.1728.org/volpyrmd.htm

3 0

2 years ago

What is the answer to this? Plz answer! It's due tomorrow!!!!!

Leya [2.2K]

Answer: the third answer (C)

Step-by-step explanation:

4 0

2 years ago

17. Tiana deposited $500 into an

Ivahew [28]

Answer:

In 50 years the amount will be $ 2000.

Step-by-step explanation:

Tiana deposited $500 into a account at 6 % simple interest per Year .

Therefore, Principal (P) is $500

Amount (Principal + Interest) = $2000

Interest (I) = $2000 - $500 = $1500

Rate percentage (R) = 6% per Year

Let, The time be T years

Now, I = $\frac{P . R . T}{100}$

Or, T = $\frac{100. I }{P . R}$

Or, T = (100×1500 ) ÷ ( 500× 6 )

∴ T = 50 Years

3 0

2 years ago