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3 years ago

6

Peter uses 13.5 cups of flour tomake 6 batches of muffins. How many cups of flour did he use per batch?

1 answer:

matrenka [14]3 years ago

8 0

Answer:

2.25

Step-by-step explanation:

13.5 divided by 6 = 2.25

PLEASE GIVE BRAINLIEST!!!

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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

3 years ago

Answer fast please!!!!

MrMuchimi

Answer:

6z + 9

Step-by-step explanation:

distribute 3/4 by 8z to get 6z

distribute 3/4 by 12 to get 9

4 0

2 years ago

Ms. White measured the number of the ounces of juice left behind by 3 students after breakfast. She plotted the data on the line

xxMikexx [17]

Answer: 7 3/4

Step-by-step explanation:

3 1/4 + 4 2/4 = 7 3/4

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3 years ago

Simplify 12 + -24 ÷ -6 * 2<br> Show stack method

Ierofanga [76]

Answer:

4

Step-by-step explanation:

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3 years ago

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A line intersects the point (-11, 4) and has a slope of -2. What are the inputs to the point-slope formula? y - [?] = [](x-[])

Lyrx [107]

y - 4 = -2 ( x - ( -11)) which would simplify to y - 4 = -2 ( x + 11) !!

5 0

3 years ago