How to solve x=5y for y

License plates in a particular state display 3letters followed by 3numbers. how many different license plates can be manufacture

mixas84 [53]

there are 26 possible letters to choose from and there are 3 letters

there are 10 possible numbers to choose from and there are 3 numbers

combinations = 26 x 26 x 26 x 10 x 10 x 10 = 17,576,000

3 0

3 years ago

For the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t .

algol13

Answer:

a) $T(t) = \frac{}{5}=$

$T(4) =$

b) $T(t) = \frac{}{8\sqrt{37}}$

$T(4) =$

c) $T(t) = \frac{}{2425825977}$

$T(4) = \frac{1}{2425825977}$

Step-by-step explanation:

The tangent vector is defined as:

$T(t) = \frac{r'(t)}{|r'(t)|}$

Part a

For this case we have the following function given:

$r(t) =$

The derivate is given by:

$r'(t) =$

The magnitude for the derivate is given by:

$|r'(t)| = \sqrt{25 sin^2(5t) +25 cos^2 (5t)}= 5\sqrt{cos^2 (5t) + sin^2 (5t)} =5$

And then the tangent vector for this case would be:

$T(t) = \frac{}{5}=$

And for the case when t=4 we got:

$T(4) =$

Part b

For this case we have the following function given:

$r(t) =$

The derivate is given by:

$r'(t) =$

The magnitude for the derivate is given by:

$|r'(t)| = \sqrt{4t^2 +9t^4}= t\sqrt{4 + 9t^2}$

$|r'(4)| = \sqrt{4(4)^2 +9(4)^4}= 4\sqrt{4 + 9(4)^2} = 4\sqrt{148}= 8\sqrt{37}$

And then the tangent vector for this case would be:

$T(t) = \frac{}{8\sqrt{37}}$

And for the case when t=4 we got:

$T(4) =$

Part c

For this case we have the following function given:

$r(t) =$

The derivate is given by:

$r'(t) =$

The magnitude for the derivate is given by:

$|r'(t)| = \sqrt{25e^{10t} +16e^{-8t} +1}$

$|r'(t)| = \sqrt{25e^{10*4} +16e^{-8*4} +1} =2425825977$

And then the tangent vector for this case would be:

$T(t) = \frac{}{2425825977}$

And for the case when t=4 we got:

$T(4) = \frac{1}{2425825977}$

5 0

3 years ago

(4s+3)(4s–3) i really neeed help

Blababa [14]

Answer:

16s^2 -9

Step-by-step explanation:

(4s+3)(4s–3)

FOIL

first : 4x*4x = 16s^2

outer -3 *4s = -12s

inner 3*4s = 12s

last = 3* -3 = -9

Add them together

16s^2 -12s+12s -9

Combine like terms

16s^2 -9

6 0

3 years ago

What is this answer -v+5+6v=1+5v+3

vivado [14]

Answer:

no solution

Step-by-step explanation:

Given

- v +5 + 6v = 1 + 5v + 3 ← combine like terms on both sides

5v + 5 = 5v + 4 ( subtract 5 from both sides )

5v = 5v - 1 ( subtract 5v from both sides )

0 = - 1 ← not possible

Hence the equation has no solution

8 0

3 years ago

Explain how to use a model to find the quotient. 2 1/2 divided by 2

dedylja [7]

00 o = 2 1/2
— 00 o
2 — = 1 — = .25
2 2

00=2
o=1/2

2/2=1
.5/2=.25

Final answer = 1.25 or 1 1/4

5 0

3 years ago