All Answers 356458 Answers

Shame on me I made a boo-boo but I'm not the only one.

I never heard of a line of best fit before, so I looked it up.  Here's the definition that I found: 

The line of best fit (or trendline) is an educated guess about where a linear equation might fall in a set of data plotted on a scatter plot. Trend lines are usually plotted with software, as once you’ve got more than a few points on a piece of paper, it can be difficult to figure out where that line of best fit might be.   

The definition says "scatter plot" and "trend" and

one answer says "scatter plot" and "trend" so I'm

with you:  It is D.  Whoever told you that answer

was wrong, was himself wrong.  It can happen. 

_.

m + n = 14.

PMT=5000 / (1*1.085^-3 + 2*(1.085^-6))

PMT = $2,489.05

p = payment at 3 years

    loan amount at 3 years = 5000 (1.085)^3 = 6386.4456

p = 1/2 (6386.4456 - p )(1.085)^3

2p / (1.085)^3 = 6386.4456 - p

p = $ 2489.05

12000 w / (4 m 32 h)   = 93.75   w / m-h

93.75 w / m-h    *  1 hr   *  x  m    = 200 w

x = 2.13 machines

In Q IV   sin is neg    cos is positive

tan = sin/cos = -2/5      

   find hypotenuse     h^2 = (-2)^2 + 5^2        h = sqrt 29

        cos = 5/sqrt29     or    5 sqrt29/29

        sin = -2/sqrt 29

I love these problems!

1) N=11 when divided by 12

So if you are familiar with modular arithmetic, we will write some equations. 

N==2 (mod 3)

N==3 (mod 4)

N==x(mod 12)

Let's solve for N. 

3a+2=4b+3

a and b are integers

take the whole thing modulo 3

b=2(mod 3)

so inputting for a new quotient integer c,

N=3a+2=4(3c+2)+3

N=3a+2=12c+11

N= 11 (mod 12)

or the remainder is 11 when divided by 12

2) D=102

482-74=408

992-74=918

1094-74=1020

The GCF is 102. 

D=102

!!!

3) N=311

Again, use modular arithmetic with integer variable quotients. Solving the way I did before, N=311 (mod 315) so N>=311+315n, and n can't be negative thus N=311.

4) 38 candies

lol, same modular arithmetic.

Solving equations and writing them, we have for the # of candies=x

x=3(mod7)

x=6(mod8)

x=3(mod5)

so x=3(mod 35)

and x=6(mod 8)

therefore x= 38 mod 280, and x=38 

(because 318 would obviously be too many candies for >8 people to eat.)

The roots of x^2 + px + q are real, and the roots of (x + a)(2x + p) are real, so when we add them, we get another quadratic where the roots are real.

10 liters total

x = 5%           amount of acid  =   .05x

10-x = 40%    amount of acid = .40 (10-x)

Sum of ingredients = amount in final solution

.05x       +    .40(10-x)     =    .20 ( 10)      

                                                       solve for x the 5% amount     then 40% amount = 10-x liters

Divide both sides by -5   (NOTE: this changes  <   to >)

sqrt(x-2) > 2     square both sides

x-2 > 4

x> 6             open circle at 6   line extending R to + inf

Don't post more than ONE question at a time. Your original post was removed because of that.

What is the smallest positive integer n for which n^2 is divisible by 18 and n^3 is divisible by 640? 

n^2 is divisible by 18

18=2*2*3

n must have factors 2 and 3

and

n^3 is divisible by 640

640=5*2^7

n must have factors  2*2*2*5

Put these together and n must have factors    2*2*2*3*5 = 120    That is the smallest possible value of n 

What n?

To me your question makes no sense.

Maybe you do mean 60^n but maths is precise and you have written nonsense.

Hint

draw it and then use the  Pythagorean theorem.

Hello Guest!

\(3\frac{1}{3}:4\frac{5}{6}={\color{black}\frac{10}{3}:\frac{29}{6}=\frac{10\cdot6}{3\cdot 29}=}\color{blue}\frac{20}{29}\)

  !

Firstly your formula is not quite right, you need the extra brackets

[f (x +h) - f(x)] / h

f(x) = x^2 + 4x

[f (x +h) - f(x)] / h =?

 f(x+h)   = (x+h)^2+4(x+h)

Just write it all down and simplify. 

If you have more problems with this then say so but try and explain what the problems are.

\(f(g(x))=sin(7*5\sqrt{x} )=sin(35 \sqrt{x}) \)

you can do the other one yourself

how many balls are there?

I assume A B C D and E are all people?

Suppose that  x and y are positive integers such that  (x^2)(y^3)= 46656. What is the sum of all possible values of x?

factor(46656) = 2^6*3^6

\(2^6*3^6\\~\\ (2^3)^2* (3^2)^3=8^2*9^3\\ (3^3)^2*(2^2)^3 =27^2*4^3 \\1^2*(6^2)^3=1^2*36^3 \\(6^3)^2*1^3=216^2*1^3\)

Just as guest already determined.

I am not answering any more.

There is a policy of one question per post.

PLUS

We are not here to do all your homework for you.

In Zucchini squash a gene for white color (W) is dominant over its allele for yellow color (w). Give the genotypic and phenotypic ratios for the results of each of the following crosses: a. WW x ww b. Ww x ww c. Ww x Ww

T"Genotype" is an organism's full hereditary information.

"Phenotype" is an organism's actual observed properties

For a)    All of the plants will be   Ww     Genotype and

                  all will have the phenotype white 

For b)     Genotypes,  25% WW,    25% ww    and  50%    Ww

               Phenotypes    75% will be white and  25% will be yellow.

Have you drawn the pic?

Once you draw the pic you can just use Pythagoras's theorem to solve it.

No one else answer over me, thanks.