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3 years ago

You flip a coin twice. The first flip lands

Mathematics

2 answers:

Slav-nsk [51]3 years ago

8 0

Answer:

Step-by-step explanation:

Should be 2/2

DerKrebs [107]3 years ago

6 0

The correct answer should be 2/2

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Find the vectors T, N, and B at the given point. r(t) = < t^2, 2/3t^3, t >, (1, 2/3 ,1)

maxonik [38]

Answer with Step-by-step explanation:

We are given that

$r(t)=< t^2,\frac{2}{3}t^3,t >$

We have to find T,N and B at the given point t > (1, $2/3$ ,1)

$r'(t)=$

$\mid r'(t) \mid=\sqrt{(2t)^2+(2t^2)^2+1}=\sqrt{(2t^2+1)^2}=2t^2+1$

$T(t)=\frac{r'(t)}{\mid r'(t)\mid}=\frac{}{2t^2+1}$

Now, substitute t=1

$T(1)=\frac{}{2+1}=\frac{1}{3}$

$T'(t)=\frac{-4t}{(2t^2+1)^2} +\frac{1}{2t^2+1}$

$T'(1)=-\frac{4}{9}+\frac{1}{3}$

$T'(1)=\frac{1}{9}=$

$\mid T'(1)\mid=\sqrt{(\frac{-2}{9})^2+(\frac{4}{9})^2+(\frac{-4}{9})^2}=\sqrt{\frac{36}{81}}=\frac{2}{3}$

$N(1)=\frac{T'(1)}{\mid T'(1)\mid}$

$N(1)=\frac{}{\frac{2}{3}}=$

$N(1)=$

$B(1)=T(1)\times N(1)$

$B(1)=\begin{vmatrix}i&j&k\\\frac{2}{3}&\frac{2}{3}&\frac{1}{3}\\\frac{-1}{3}&\frac{2}{3}&\frac{-2}{3}\end{vmatrix}$

$B(1)=i(\frac{-4}{9}-\frac{2}{9})-j(\frac{-4}{9}+\frac{1}{3})+k(\frac{4}{9}+\frac{2}{9})$

$B(1)=-\frac{2}{3}i+\frac{1}{3}j+\frac{2}{3}k$

$B(1)=\frac{1}{3}$

5 0

2 years ago

Convert to an improper fraction. Type in your answer with the negative in the numerator. -8 3/4 =

Sergeu [11.5K]

Answer:

-32/4

Step-by-step explanation:

-8 times 4= -32 put -32 over 4

8 0

3 years ago

The Gaineys and the Arnolds are saving money for a trip to Utah to go snowboarding. The Arnolds are going to save a nickel on th

Debora [2.8K]

Write a recursive and explicit formula for each option.

The Arnolds

Save a nickel on the first day of the month and then double the amount each day for a month

=> a1 =0.05

=> a2 = a1* 2 = 0.05*2

=> a3 = a2*2 = a1* 2*2

..............................................

=>recursive an = $a_{n-1} *2$

=> explicit an = 0.05* $2^{n-1}$

The Gaineys

Start their savings by saving $10 on the first day and then $10 each day of the month

=> a1 = 10

=> a2 = a1 + 10 = 20

=> a3 = a2 +10 = 20 +10 =30

........................................................

=> recursive an = $a_{n-1} +10$

=> explicit an = 10 + 10( n-1)

Hope it will find you well.

8 0

2 years ago

What precent of 25 is 10?

vivado [14]

40%

40 percent of 25 is 10

10/25x100 and you will get your answer which is 40

4 0

2 years ago

Write the following decimal number in its equivalent fraction form. Show all work for full credit.

Oduvanchick [21]

Negative 3143 over 1000 divide -3.143 by 1000 and there’s your answer

4 0

2 years ago