How do i simplify e^ln3

Answers

Answer 1

Answer: Hello,

x=e^ln 3
==>ln x =ln(e^ln 3)
==>ln x=ln 3 ln(e)
==>ln x=ln 3
==>x=3

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Add or subtract the following mixed fractions. all answers must be in simplest form. show all work 7 2/5 - 6 1/5 =

Oliver buys yen stamps each costing 77centscomplete the calculation he could do to find the total cost

Answers

Hi!
I think that you misspelled the question, and you mean that Oliver bought "ten", not "yen" stamps- yen is the currency of Japan.

So we have 10 stamps of 77 cents each:

10*77=770 cents

He has to pay 770 cents, or since 100 cents are one dollar, 7 dollars and 70 cents.

Given the parent functions f(x) = log10 x and g(x) = 3x − 1, what is f(x) • g(x)?

Answers

we are given with two functions f(x) = log10 x and g(x) = 3x − 1 and is asked for the product of the two functions expressed as f(x) • g(x). The answer then is simply the product of the two functions, that is log x * (3x - 1). log 10 x is equal to log x.

Answer:

$\log_(10)x \cdot (3x-1)$ or

$3x \log_(10) x -\log_(10) x$

Step-by-step explanation:

Given the parent function:

$f(x) =\log_(10) x$ and $g(x)=3x-1$

we have to find $f(x) \cdot g(x)$

$f(x) \cdot g(x)$

⇒ $(\log_(10)x) \cdot (3x-1)$

⇒ $\log_(10)x \cdot (3x-1)$

we can write this as:

$3x \log_(10) x -\log_(10) x$

Therefore, the result of $f(x) \cdot g(x)$ we get, $\log_(10)x \cdot (3x-1)$ or $3x \log_(10) x -\log_(10) x$

Combine like terms.
3y + y + 6y
A. 10y
B. 8y
C. 9y-y
D. 2y

Answers

First off,like terms are value with the same unknown.

For example,in the equation 2x+3y+5y+4x,

The like terms would be 2x and 4x, with the same unknown x,
and the other like terms would be 3y and 5y with the same unknown y.

In this case (3y+y+6y), as they all have unknown y, they all are like terms.

To combine,we can simply add them together:
$3y + y + 6y \n = 4y + 6y \n = 10y$

Therefore the answer is A. 10y.

Hope it helps!

Answer: Its A.) 10y

Step-by-step explanation:

If the length of a rectangle isexpressed by 22 + 41-8 and the
width is 3x What is the area of the
rectangle?

Answers

I think that the length's area is 6075

A soccer ball is kicked into the air from the ground. If the ball reaches a maximum height of 25 ft and spends a total of 2.5 s in the air, which equation models the height of the ball correctly? Assume that acceleration due to gravity is –16 ft/s2.

Answers

Hello,

g=9.81m/s²= 9.81/0.3048 =32.18.. ft/s² rounded to 32

h=-g/2*t²+vt+h0
if t=0,h=0 ==>h0=0

==>h=-16*t²+vt
50 ft in 2.5s ==> 25 ft in 1.25s

25=-16*1.25²+v*1.25
==>v=50/1.25=40

Equation h=-16t²+40*t

The equation models the height of the ball correctly will be h = -16t² + 40t.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

A soccer ball is kicked into the air from the ground.

g = 9.81m/s²

g = 9.81/0.3048

g =32.18.. ft/s² rounded to 32

h = -g/2t² + vt + h0

if t = 0,h = 0

h = -16t² + vt

50 ft in 2.5s

25 ft in 1.25s

25 = -16 x 1.25² + v x 1.25

v = 50/1.25

v =40