A right cylindrical vase holds 2.50 L of water. If the radius of the vase is 9.00 cm, what is the height of

I am really in hurry can anyone help me please

eimsori [14]

Answer:

This is your answer ☺️☺️☺️

6 0

3 years ago

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 5x - 7x + 11?

Maksim231197 [3]

Answer:

±1, ±11, ±1/5, ±11/5

Step-by-step explanation:

f(x) = 5x³ - 7x + 11

constant term: 11

leading coefficient: 5

factors of the constant term: ±1, ±11

factors of the leading coefficient: ±1, ±5

possible rational roots = factors of the constant term/factors of the leading coefficient = ±1, ±11, ±1/5, ±11/5

6 0

3 years ago

Felix has $1,000 in his savings account. He wants to purchase a motorcycle for $5,000. The seller has agreed to take a payment o

grigory [225]

Answer:

The system of equations is

(1) Amount balance to buy the motorcycle = Cost of motorcycle - Balance in savings

(2) Number of months Felix would need to make up the amount balance to buy the motorcycle = When Felix will have enough money to completely pay for his motorcycle

(3) Number of months Felix would need to make up the amount balance to buy the motorcycle = When Felix will have enough money to completely pay for his motorcycle

(4) The period it will take for Felix to have enough money to completely pay for his motorcycle is 8 months

Step-by-step explanation:

Here we have

Balance in savings = $1,000

Amount available to Felix each month = $500

Amount balance to buy the motorcycle = Cost of motorcycle - Balance in savings

= $5,000 - $1,000 = $4,000

Number of months Felix would need to make up the amount balance to buy the motorcycle = When Felix will have enough money to completely pay for his motorcycle

The above is given by

Number of months = Amount balance to buy the motorcycle ÷ Amount available to Felix each month

∴ Number of months = $4,000 ÷ $500 = 8 Months

That is Felix will have enough money to pay for his motorcycle in 8 months.

8 0

3 years ago

Use theorem 7. 4. 2 to evaluate the given laplace transform. do not evaluate the convolution integral before transforming. (writ

irga5000 [103]

With convolution theorem the equation is proved.

According to the statement

we have given that the equation and we have to evaluate with the convolution theorem.

Then for this purpose, we know that the

A convolution integral is an integral that expresses the amount of overlap of one function as it is shifted over another function.

And the given equation is solved with this given integral.

So, According to this theorem the equation becomes the

$\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{ \mathscr{L} (e^{-\tau} \cos \tau ) }{s} \\\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{\frac{s+1}{(s+1)^2+1}}{s} \\\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{1}{s}\left (\frac{s+1}{(s+1)^2+1} \right).$