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1.93423002 x 10^8

Same answer as Guest #1

This is not going to be in your Maths exam though...... This is just large value, not hard. And teachers would prefer hard questions than large value question because large values are not going to test students' understandings.

5958374876958484*548858865 = 3270306872211948180360660

0.0123456790123457

= \(\dfrac{123456790123457}{10000000000000000}\)

Guest #1's answer is correct but he/she didn't state what is mean by what.

d is the distance

x₁ is the x-coordinate value of the 1st point(You can choose any point as your first point.)

x₂ is the x-coordinate value of the 2nd point(It is just another end-point of the line segment.)

y₁ is the y-coordinate value of the 1st point

y₂ ​is the y-coordinate value of the 2st point

It is just an application of Pythagorean theorem but it is really useful.

Subscript means the text that locates at the bottom right corner direction of the normal text.

a₂ '2' is the subscript.

Guest #1, the Guest who asked this question do not mean this.....

Did you notice the 2 is behind the y? :)

\(y^2=\dfrac{9}{64}\\ y=\pm\sqrt{\dfrac{9}{64}}=\pm\dfrac{3}{8}\)

y = 3/8 or -3/8

\(\text{Find } f^{-1}\text{ for the function }f(x)=\sqrt{(3)(x-2)+8}\)

\(y = \sqrt{(3)(x-2)+8}\)

\(y^2=(3)(x-2)+8\\ y^2=3x+2\\ y^2-2=3x\\ x = \dfrac{y^2-2}{3}\\ y=\dfrac{x^2-2}{3}\)

The inverse function is \(f(x)=\dfrac{x^2-2}{3}\)

I will use the calc for you.

sqrt(10) = 3.1622776601683793

LOL.

Hi Miss Melody,

I have a little dyslexia too. It is rather annoying, but it’s better than Lexidysa. The other two permutations are much better and I wouldn’t mind having them.

10(sin(pi(x-9)/6))+3 convert it into cosine function

\(10(sin(\frac{\pi(x-9)}{6}))+3\\ =10(cos(\frac{\pi}{2}-\frac{\pi(x-9)}{6}))+3\\ =10(cos(\frac{3\pi}{6}-\frac{\pi x-9\pi}{6}))+3\\ =10(cos(\frac{\pi x+12\pi}{6}))+3\\ =10cos(\frac{\pi x}{6})+3\\\)

(2^5)(2^(1/2))=2^a

2^(11/2)=2^a

a = 11/2

  2log₃(7) + log₃(11)

=log₃ (7²) + log₃ (11)

= log₃ (7² x 11)

= log₃(539)

Thanks Alan,

Yes I am dyslexic.  ://

Do it Alans' way :))

No it doesn't matter which one you use. They're just different ways of remembering the same thing! Use whichever one you are most comfortable with.

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Does it really matter which one to use because it's pretty similar unless I'm wrong but I usually use BEDMAS because that's what I was taught.

I think Melody has read this as x^2 = 1/64.

For 2^x = 1/64 then x = -6              (2^-6 → 1/2^6 → 1/64)

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O stands for order.

'To the order of'   means the same as  'to the power of'

the order is the exponential number.

In the United States the acronym PEMDAS is common. It stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. PEMDAS is often expanded to "Please Excuse My Dear Aunt Sally", with the first letter of each word creating the acronym PEMDAS. Canada and New Zealand use BEDMAS, standing for Brackets, Exponents, Division, Multiplication, Addition, Subtraction. Most common in the UK and Australia are BODMAS and BIDMAS. In some English speaking countries, Parentheses may be called Brackets, or symbols of inclusion and Exponents may be called either Indices,Powers or Orders, which have the same precedence as Roots or Radicals. Since multiplication and division are of equal precedence, M and D are often interchanged, leading to such acronyms as BOMDAS. The original order of operations in some countries was BODMAS, which stands for Brackets, Orders or Powers, Division, Multiplication, Addition, Subtraction. The O is sometimes associated with Of. This mnemonic was common until exponentials were added into the mnemonic.

Simplify the following:
-11/32+5/8-15/16

Put -11/32+5/8-15/16 over the common denominator 32. -11/32+5/8-15/16 = (-11)/32+(4×5)/32+(2 (-15))/32:
(-11)/32+(4×5)/32+(2 (-15))/32

4×5 = 20:
(-11)/32+20/32+(2 (-15))/32

2 (-15) = -30:
(-11)/32+20/32+-30/32

-11/32+20/32-30/32 = (-11+20-30)/32:
(-11+20-30)/32

-11+20-30 = 20-(11+30):
20-(11+30)/32
Answer: |(-21)/32

-21/32

a/(3b)=c+d

a=3bc+3bd

c=a/3b-d

d=a/3b-c

b=?

b = a/(3 (c+d))

Suppose f(x)=2^x. If f(x)=1/64, what is x?

\(x=\pm\frac{1}{8}\)

1.77245385091

Haha is 12 years old. Her mother's age is 4 times his age. Her sister's age is half of the age of her mother. How old is Haha's sister?

Haha's mother is: 4 x 12 =48 years old.

Her sister's age is: 48 / 2 =24 years old.