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1+2+4+...+64

= 2⁰+2¹+2²+.....+2⁶

Number of terms = 6+1 = 7

\(\color{aqua}\frac{950000000}{39500000000}\)

= \(\color{aqua}\frac{95}{3950}\)

= \(\color{aqua} \frac{190}{79}\)percent

\(\color{aqua} \approx 2.41\) percent.

\(\color{aqua}log_2(3x-1)=4\)

\(\color{aqua} 3x-1 = 2^4\)

\(\color{aqua} 3x=16+1\)

\(\color{aqua} x= \frac{17}{3}\)

\(\color{aqua}8-x=2x+8\)

\(\color{aqua}8=3x+8\)

\(\color{aqua}3x=0\)

\(\color{aqua} x=0\)

A. other

This is already an expression of y in terms of x. The x isn't in the numerator of the fraction so it's other which is neither linear nor quadratic.

B. quadratic

This is a function and x is to the second power with no fractions, so quadratic.

C. linear

Divide 2 on both sides so it become \(y=\frac{2x-1}{8}\) and the x is in the numerator of the fraction so it's linear.

D. other

Divide 3x on both sides, it will become \(y=\frac{4}{3x}\) and x isn't in the numerator of the fraction so it's other which is neither linear nor quadratic.

\(\sqrt{10}\approx 3 \)(Corrected to 1 significant figure)

Guest,

2 (-1)^(1/3) and -2 (-1)^(2/3) isn't a real number. So the only real number is -2

1 - 1 = 0

You can't find a square root of the complex number. 

2000(1.02)n-1> 2000 + (n-1)50

n > 4001/2040

1 metric tonne=1,000 kilograms

1,000 x 4E12 =4E15 kilograms.

It's the key marked "2nd", in the upper left corner. Click 2nd, and cos changes to acos (also known as arccosine or cos -1).

FV=PV[1 + R]^N

2,775.00 =570 [1 + 0.09 ]^N divide both sides by 570

4.868421=1.09^N take the log of both sides

N=Log(4.868421) / Log(1.09)

N=18.37 years that will take 570 to grow to 2,775 @ 9%.

A = Prt, t = ?

A = 2775

P = 570

r = 1.09

t = A/Pr

t = 2775/(570*1.09)

t = 4.47 years

follow order of operations, so do all division first for this problem, then the subtraction.

-80 / -40 = 2

-5 / -5 = 1

then the equation becomes 52 - 2 + 1 which equals 51

is this a question? if so, yes that is correct

for a visual representation you can input this in a grapher such as this:

https://www.desmos.com/calculator 

That fraction cant be simplified any further. it can either by represented as 21/4 or 5 and 1/4

if by that you mean how do you represent complex numbers? if you type i in this calculator it will consider that a complex number. or for example if you were to input sqrt(-4) the output would be 2i

Hope this helps!

1 ton = 907.185 kilograms

therefore 4 trillion tons = 3,628,740,000,000 kilograms

F = ma

force is equal to mass times acceleration. if the hammer is being swung at some acceleration then the force can be calculated by multiply that known acceleration with the 600 lbs. so more information must be known.

if the hammer is simply resting on the metal plate, then the acceleration would be 32.174 feet per square second (or 9.8 meters per square second) due to gravity. In this case the force would be equal to 19304.4 lb-ft/sec^2

Most Casio scientific calculators can save formulas, but if you really want to use them often a graphing calculator is a great investment. they are far more practical and for formula usage

i'm not sure your question is very clear... perhaps you should rephrase it. also the square root of 10 is 3.16 and not exactly 3.

a linear equation will have only one possible value for x given y. for example D is linear. (3xy=4) if you chose 1 as your value for y then x MUST be 4/3. so when the highest power of x is one (X^1), then the equation is linear. equation C is also linear

a quadratic equation will have two possible answers. B is quadratic because if you replace f(x) with a value such as -2, you will have two possible answers for x, 2 OR -2. the highest power of x in this equation is 2 (X^2), therefore it is quadratic

any equation having powers of x higher than two will not be quadratic, or any equation having powers lower than zero. for example equation A would be "other" because the power of x is -1. this is due to the x value being in the denominator. therefor x^-1 makes that equation neither linear or quadratic 

If it is (8*(x^6))/(8*(x^5)), it simplifies to x. If ((8x)^6)/((8x)^5) it simplifies to 8x.