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2 years ago

How can i turn 100 U.S. dollars to Australian dollars?

Mathematics

1 answer:

leonid [27]2 years ago

4 0

One us dollar is equal to $1.317752 in australia

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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

Hank’s pickup can travel 60 miles on 5 gallons of gas. How many gallons will Hank’s pickup need to travel 36 miles

Scorpion4ik [409]

60 / 5 = 12 miles per gallon

36 miles = 12 miles / gal * x gallons

divide by 12

36/12 =x gallons

3 =x

He needs 3 gallons

7 0

2 years ago

Read 2 more answers

How many teaspoons make up 40ml<br>

mojhsa [17]

Answer:

Convert 40 Milliliters to Teaspoons

mL tsp

tsp40.01 8.1174

8.117440.02 8.1194

8.117440.02 8.119440.03 8.1215

8.117440.02 8.119440.03 8.121540.04 8.1235

3 0

2 years ago

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8. Starting from 300 feet away, a car drives toward you. It then passes by you at a speed of 48 feet per

fgiga [73]

Answer:

About 2 seconds away from you

Step-by-step explanation:

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2 years ago

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Determine if the two triangles shown are similar. If so, write the similarity statement.

dmitriy555 [2]

I don’t think those are similar... not 100% sure tho. I think they need 2 matching angles to be similar.

8 0

2 years ago