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3 years ago

How does 5 x(2)^n-1 simplify to 5/2 x (2)^n ? Please help me

Mathematics

1 answer:

kotegsom [21]3 years ago

8 0

9514 1404 393

Explanation:

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

1/a^b = a^-b

$5\times2^{n-1}=5\times(2^n)(2^{-1})=5\times2^n\times\dfrac{1}{2}=\boxed{\dfrac{5}{2}\times2^n}$

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Pls pls pls pls pls help

Arturiano [62]

Answer:

$y=\frac{1}{2}$

Step-by-step explanation:

$4(y+1)= \frac{3}{1-y}$

$4y+4= \frac{3}{1-y}$

$(4y+4)(1-y)= 3$

$4y(1-y)+4(1-y)=3$

$4y-4y^{2} +4-4y=3$

$-4y^{2}=3-4$

$4y^{2}=1$

$y^{2} = \frac{1}{4}$

$y=\sqrt{\frac{1}{4} }$

$y=\frac{1}{2}$

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3 years ago

what do you call the procedure that helps you determine the volume of an irregularly shaped object while using a graduated cylin

vagabundo [1.1K]

Water displacement. You fill a graduated cylinder with an amount of water, place the object inside the graduated cylinder, and then measure the new water level. The change in volume of the water is the volume of the object, that is, if the object was completely submerged.

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4 years ago

What is 400,000 times 200 in scientific notation

aniked [119]

If you move the decimal point left until it is just to the right of the most-significant digit, the number of places you moved it is the power of ten that your new number is multiplied by.

$400,000=4\times 10^{5}\\200=2\times 10^{2}$

Then multiplication can proceed in the usual way, taking into account the rules of exponents.

$4\cdot 10^{5}\times 2\cdot 10^{2}=8\cdot 10^{(5+2)}\\\\=8\cdot 10^{7}$

8 0

3 years ago

Read 2 more answers

What is m in 4/5m=2/9 is it 5/18

Romashka [77]

$\frac{4}{5} m = \frac{2}{9} \\ \\ \frac{4m}{5} = \frac{2}{9} \\ \\ 4m = \frac{2}{9} \times 5 \\ \\ 4m = \frac{10}{9} \\ \\ m = \frac{10}{9 \times 4} \\ \\ m = \frac{10}{36} \\ \\ m = \frac{5}{18} \\ \\$

The final result is: m = 5/18 or 0.2778.

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3 years ago

A French toast recipe calls for cup milk per beaten egg. If you use 6 cups milk, how many eggs should you use?

V125BC [204]

Answer:

the answer will be 12 eggs

4 0

3 years ago