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3 years ago

54÷6+0.42×(9×8÷2+82)

Mathematics

2 answers:

icang [17]3 years ago

6 0

Answer:

58.56

Step-by-step explanation:

7nadin3 [17]3 years ago

6 0

Answer: 58.56
Solving Steps:

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What the equivalent expression. 5 (3m +2p) - 4m

Ad libitum [116K]

Hi the answer is 11m+10p

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3 years ago

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

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

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

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

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

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

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

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

$N(1)=$

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

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

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

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

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

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3 years ago

Please Help!! 10 Points! Brainliest Answer

Ivenika [448]

The correct answer is D because you already have one side and one angle that are equal so you need one more side

6 0

3 years ago

5. h(x)=0.5x - 1 with domain (-♾, 4) what is the range

Rudiy27

We have a domain of a function, that is, which x-es can we throw in. But we are asking which y-s will we get given that we can only throw x-es in $(-\infty,4)$ .

Let's try $x=4$ even though we are forbidden to put 4 inside $h$ we are still able to do so.

So $h(4)=0.5\cdot4-1=2-1=1$ what we just got is the upper limit of the range. The lower limit is $h(-\infty)=-\infty$ .

So the range is just $(-\infty, 1)$ .

Hope this helps :)

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3 years ago

The width of the rectangle is 75% of its length, the length is 24, what's the area?

lapo4ka [179]

S = a * b where a - <span>length and b - width
a = 24
b = 0.75 * a
S = 24 * 24 * 0.75 = 432</span>

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3 years ago

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