Ask question

Ask question

All categories

3 years ago

6

How do you solve this math question

1 answer:

Lapatulllka [165]3 years ago

7 0

7/4 is a rational number and not a whole number

You might be interested in

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

3 years ago

$4.30 40% discount 6% tax

alex41 [277]

The total would be $2.73.

7 0

3 years ago

Read 2 more answers

In ΔNOP, the measure of ∠P=90°, PO = 77, NP = 36, and ON = 85. What ratio represents the cosine of ∠N?

Usimov [2.4K]

Answer:

36:85

Step-by-step explanation:

Given the right angled triangle as shown in the attachment, the cos of angle N can be gotten by simply using the CAH method in SOH CAH TOA.

According to CAH

Cos∠N = Adjacent/Hypotenuse

Hypotenuse is the longest of the triangle |ON| = 85

Since the opposite side to ∠N is 77, the third side will be the Adjacent side.

Adjacent side will be |NP| = 36

Therefore:

Cos∠N = 36/85

The ratio that represents the cosine of ∠N is 36:85

3 0

3 years ago

How far is the director if he hears the drumbeat in 0.40 seconds? The speed of sound is 330 m/s

Tomtit [17]

825 meters away
i think bit too sure

7 0

3 years ago

(-6)*(-6)*(-6)*z*z <br> the expression is

ra1l [238]

Answer:

-216z^2

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers