All Answers 352713 Answers

"here" is denmark

\(\text{for Cedric}\\ fv = \$12000(1+0.05)^{15} = \$24947.10\\~\\ \text{For Daniel}\\ fv = \$12000(1 + (0.07)15) = \$24600.00\\~\\ \text{The difference to the nearest dollar is $\$347$}\)

\(\text{most of this can be ignored. Two important points}\\ 1)~p = p[\text{make the free throw}] = 0.546\\ 2)~\text{$n = 2$, i.e. he takes two free throw shots at a time}\\ \text{The number of free throws, and thus the points he makes $\\$ has a binomial distribution, with the above parameters, $n$ and $p$}\\ \text{it's well known that the expectation of the binomial distribution is $\mu = np\\$ which in this case is $\mu = 2(0.546)=1.092$}\)

use of the phrase homecoming is fine... it's the first part of the sentence that's open to misinterpretation....

I belive that the motivation for substituting \(b=-\frac 12\) was to cancel out the \(2x^4\) term. Then, you easily work your way to the correct answer.

Chris, please check your line 2.

2 + 3 + 5 = 10  total failures

          Failures by Team 1    =    2

          Failures by all teams  =  10 

          Proportion of Team 1 failures to Total failures  =  2/10 

          2/10  =  20%

.

Thanks, power27....excellent answer   !!!!

Agree tbh

But I skipped 7th grade math 

You find the precent something is of a whole like this: \(\frac{\text{part}}{\text{whole}}\)

There are 10 first class seats, 10 business class seats and 30 economy seats on the plane so there are 10+10+30=50 total seats.

To find the precent of first class seats, \(\frac{\text{number of first class seats}}{\text{total seats}}=\frac{10}{50}=\frac{20}{100}=20 \text{%}\) of the seats on the plane are first class.

Only the third pie chart has the number of first class seats as 20%, so that must be the answer, but lets double check the rest.

Buesness class: There are also 10 buesness class seats, which is the same number of first class seats so it must also be 10% buesness class. This matches the third pie chart.

Economy: There are 30 economy seats, so \(\frac{30}{50}=\frac{60}{100}=60\text{%}\) economy seats, which also matches the third pie chart so the answer must be the third chart.

Looollll, im sorry that’s the only way I could think of to be the most creative, im not American , so I just wanted to use “home coming” as a literal phrase….hehe

Thx CPhill The answer was correct 

We have a total  of   twenty-five  people

Five  are 25, or older

So.....

5 / 25   =  1 / 5   = 20 %

A right angle is 90^o.  Bisecting it divides it into two equal halves. 

Half of 90^o is 45^o.  Each angle is 45^o.

An angle that is less than 90^o is called an acute angle. 

.

(2)   If we let  b  = -1/2  we have

f(x)  + (-1/2) g(x)   =

x^4 -3x^2 + 2  +  - (1/2) [2x^4 - 6x^2 + 2x - 1 ]  =

x^4 - 3x^2 + 2  - x^4 - 3x^2 - x + 1/2  =

-x + 2 + 1/2  =

-x + 5/2   ⇒   degree  1   is the smallest possible degree

What is the polynomial function of least degree whose only zeros are −3 , −2 , and 4?

We have

( x + 3)  ( x + 2) ( x - 4)  =

(x^2 + 5x + 6) ( x - 4)  =

x^3 + 5x^2 + 6x  - 4x^2 - 20x - 24  =

1x^3  +  1x^2  - 14x  - 24

(1)   x^3  + 7x^2 + 8x - 16

Note that   x  = 1   produces a zero....so....(x -1)  is a factor...and we can use synthetic division to find the remaining polynomial

1 [   1     7       8      - 16   ]

              1       8        16

     _____________________

       1     8      16         0

The remainig polynomial is   x^2  + 8x + 16    which factors as  (x + 4) (x + 4)

So.....we have  (x - 1) (x + 4) ( x + 4)

\(\text{Equilibrium solutions are found where $\dfrac{dx}{dt}=0$}\\ \text{Here these occur at $x=6,~x=2$}\\~\\ \text{To determine their stability we look at the second derivative}\\ \dfrac{d^2x}{dt^2} = (-1)(x-2) + 1(6-x) = 8-2x\\ \text{at $x=6,~\dfrac{d^2x}{dt^2}=8-12=-4$}\\ \text{A negative second derivative indicates an unstable equilibrium point}\\ \text{at $x=2,~\dfrac{d^2x}{dt^2}=8-4=4$}\\ \text{A positive second derivative indicates a stable equilibrium point}\\ \)

Team 1 failures  =  2

Total Failures by all teams  =  10

% of failures from Team 1    =    2  / 10     =  20 %

CORRECTED ANSWER

continuous variables  can be any value at all, such as length, weight, and area

discrete variables must take integer values such as the number of items or events

can you figure it out now?

Answer 1 was correct but 2 was not. thx for question 1 tho !! 

A.RussificaTION PRESSURED ALL ethnic groups to unite as Russians, but self-determination gave different ethnic groups the right to govern themselves.

hope this helps!! 

\(1) ~1 + 5 = 6\\~\\ 2)~\text{The degree of a polynomial $f(x)$ is its highest power of $x$ $\\f(x)+bg(x)$ will be of degree 4}\)

no just these 2 questions