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3 years ago

Your job pays $8 an hour. Write a variable expression for your pay in dollars for working h hours

1 answer:

7 0

Lets say p is for pay. An expression for you would be p=8h because you would get 8 dollars per hour that you work. Then you would replace h with however many hours you worked. Ex: p=8h. You worked 12 hours, so 8 x 12 would equal 96, so you would get 96 dollars as your total pay, or p.

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The product of two consecutive even positive integers is 674 more than the sum of the two integers. Find the integers.

IrinaVladis [17]

$2n(2n+2)=2n+2n+2+674\\
4n^2+4n=4n+676\\
4n^2=676\\
n^2=169\\
n=-13 \vee n=13$
$-13\not\ \textgreater \ 0$

$n=13\\
2n=26\\
2n+2=28$

It's 26 and 28.

7 0

2 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

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

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

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

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

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

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

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

$N(1)=$

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

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

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

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

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

5 0

2 years ago

For each incorrect answer on a test, the teacher changes the total points possible by - 3

Bogdan [553]

Answer:

Step-by-step explanation:

8 incorrect answers x -3 points per wrong answer. 64 - 24 points taken off = score of 40.

5 0

2 years ago

Read 2 more answers

At the school football game, there are 42 adults

galina1969 [7]

Answer:

54 students

Step-by-step explanation:

42 / 7 = 6

9 x 6 = 54

42 : 54 = 7 : 9

4 0

1 year ago

How to find components of a vector given magnitude and angle?

Zanzabum

<span>1. Find the magnitude and direction angle of the vector.
2. Find the component form of the vector given its magnitude and the angle it makes with the positive x-axis.
<span>3. Find the component form of the sum of two vectors with the given direction angles.</span></span>

3 0

3 years ago