All Answers 358087 Answers

what does log mean and what is it for???

This is a good question - I would like it if you became a member :)

A log is an index or a power

For instance,

\(100=10^2\\ SO\\ log_{10}100=2\)

You read this as  log base 10 of 100 is 2

2 × 5^t = 22

\(2 × 5^t = 22\\ 5^t = 11\\ log5^t =log 11\\ t*log5 =log 11\\ t=\frac{log 11}{log5}\\ \)

(log(11))/(log(5)) = 1.489896102404978

"L.A" of a square-based pyramid  

We have four triangles each with base edge "b"   and a slant height, "h"

And....the lateral surface area  =

4 * (1/2) b * h   =

2bh 

But.....the perimeter  = 4b

So

2bh  =  

(1/2) 4b * h  =

(1/2) *perimeter * slant height of each face

<3333333

S  = 5 log D − 5

a. If D is doubled

S  = 5 log (2D)  - 5  =

5 [ log 2 + log D]  - 5  =

5 log2 +[ 5logD  -  5 ]  =

5log2  + S

5log2  ≈  1.51

So "S"   increases by  ≈ 1.51

b. S  = 5 log D − 5     add 5 to both sides

S + 5   =  5logD         divide both sides by 5

[S + 5]  / 5   =  log D       exponentially, we have that

D  =  10 ^{( [S + 5]  / 5 )}   =  10 ^{s/5 + 1}   

how would you solve 2x+3y=7x-4y=3?

\(2x+3y=3\\\underline{7x-4y=3}\)

\(\large y=\frac{3-2x}{3}\\\large y=\frac{7x-3}{4}\)                        y to the left

\(\large \frac{3-2x}{3}=\frac{7x-3}{4}\)                equilibrium

\(12-8x=21x-9\)           to common denominator 12

\(-29x=-21\)                     x to the lef,  rest to the right

\(\large x=\frac{21}{29}\)                              On both sides divided by -29

\(y=\frac{3-\frac{42}{29}}{3}\)                            x is used

\(\large y=\frac{15}{29}\)

\(2x+3y=3\)                        x and y are used

\(\large 2\times \frac{21}{29}+3\times \frac{15}{29}=3\)  the sample is correct

  !

Thanks guest 

Could you please derive that formula ?

(My question is only intended for the guest who posted the formula)   

LA stands for "lateral area."

Lateral area is the surface area except for the area of the base.

The lateral area of a pyramid = (1/2) * (perimeter of base) * (height)

1/15

So the answer is suppose to be $1.56. I think I figured it out. I=prt

I=(385)(0.04)(37/365) and when you multiply it all it ends up being $1.56.

0.066

1.   Note that   3   can be written as    log₃ 27

So we have

log₃ 27   - log₃ n   =

log₃ (27 / n)

2.   And 1 can be written  as  log₂ 2

And we have

log₂ 2    + log₂ m    =

log₂ (2m)

65/2 = 32.5

Melody: A minor mistake:

[$385 x 4%] =$15.40 interest for 1 year.

[$15.40/365] x 3 days =0.1265....~13 cents.

This site can help you find the volume of a triangular prism.   http://www.mathwarehouse.com/solid-geometry/triangular-prism/formula-volume-triangular-prism.php

-10 = 2x - 5

Add 5 to both sides

-10 + 5 = -5

−5 = 2x

Divide both sides by 2

x= - 5 /2  or -2.5. 

John forgot to pay his $385 income tax on time. The IRS charged a penalty of 4% for the 3 days the money was late. Find the penalty that was paid. Use 365 day year.

I do not think that your answer is complete.

If he pays 4% then that is  

0.04*385 = $15.40

BUT I suspect that is was supposed to be 4% per annum     4% p.a.

and then the penalty would be  

3/365*0.04*38 = 0.0124931506849315 =  1 cent

All 1-140 of pi

3.141592653589793238462643383279502884197169399375105820974944592307816406286208998

62803482534211706798214808651328230664709384460955058223172

Hey you know how tangerine is made?

The God divided singerine by cosgerine!!

On a keyboard right on the same layer of the shift key

2x+3y=7     (1)

x-4y=3    →  x  = 3 + 4y     (2)

Sub  (2)  into (1)   and we have

2 ( 3 + 4y) + 3y  = 7       simplify

6 + 8y + 3y   = 7

11y + 6   = 7        subtract  6 from both sides

11y  = 1             divide both sides by 11

y  = 1/11  

And using (2),    x  =  3 + 4(1/11)   =  3 + 4/11   =  37/11

So  (x, y)   =  ( 37/11, 1/11 )

Are you guys from Flvs

I think maybe Britette means 

Florida Virtual School    :)

Let's see.....we have the points

(-2, 1) , (-1, .25), (0, 0), (1, .25) and ( 2,1)

Not linear or exponential.....!!!

(0,0)  is the vertex of the quadratic.....  [ a parabola ]

So the form will be

y  = ax^2      and using one of the other points to solve for "a", we have

1  = a(-2)^2    →  1  =  =4a   →   a  = 1/4

So....our function is :    y  = (1/4)x^2

Look at the graph here  : https://www.desmos.com/calculator/owwsbihvun

thank you so much Cphill