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2 years ago

11

Oceanside bike rental shop charges 18 dollar plus 8dollars an hour for renting a bike. Benny pain 58 dollars to rent a bike a bi

ke. How many hours did he pay to have the bike checked out

1 answer:

noname [10]2 years ago

7 0

Answer:

benny paid for 5 hours.

Step-by-step explanation:

y=mx+b

M=8

B=18

Y=58

18+8x=58

subtract 18 on both sides

canceling out 18 alltogether leaving you Y as 40 then divied 40 by 8 on each side canceling out 8 and leaving you with the answer of X=5

hope this helps!!

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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

please help as soon as you see this because people keep answering my questions a day later it’s too late by then‍♂️ & if you

melisa1 [442]

Answer:

A. Cylinder, Shpere, Cone

Step-by-step explanation:

a cylander can be made by rotating a square.

for a sphere, a semi-circle.

for a cone, a right triangle.

hope this helped you

7 0

2 years ago

Eighty, decreased by three times a

Marina86 [1]

Answer:

The number is 9.

Step-by-step explanation:

Lets write this as an equation first. We'll substitute the number for the variable <em>x</em>.

80 - 3x = 5x + 8

First, let's add 3x to both sides.

80 - 3x + 3x = 5x + 3x + 8

80 = 8x + 8

Next, let's subtract 8 from both sides.

80 - 8 = 8x + 8 - 8

72 = 8x

Finally, let's divide both sides by 8.

72/8 = 8x/8

9 = x

<em>"x" is 9.</em>

<em>So the secret number is 9.</em>

P.S.

This is my first answer to a Brainly question so please don't complain!

6 0

2 years ago

A relation is plotted as a linear function on the coordinate plane starting at point C (0,−1)(0,−1) and ending at point D (2,−11

Alika [10]

To find the rate of change, or slope, pick two points. The slope, is change in y coordinates over change in x coordinates.
$slope = \frac{y2-y1}{x2-x1}$ .

In this case, the slope is
$\frac{-11+1}{2-0} = \frac{-10}{2} = -5$ .
Remember that subtracting a negative number equals adding the number without the negative sign.
a-(-b) = a+b

Now for the y-intercept. The y-intercept is where the graph intersects the y-axis, where x = 0.
You have the coordinate (0, -1), where x = 0. So the y-intercept is -1.

Putting these values into the slope-intercept form y = mx+b, the equation is
y = -5x - 1

4 0

2 years ago

What are the names of three planes that contain point G?

liubo4ka [24]

Answer:

B is the correct answer to your question

4 0

2 years ago