Ask question

Ask question

All categories

2 years ago

9

Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled 3/4 for the flowers to l

ast the longest. Her cylinder vase has a radius of 2 inches and a height of 9in. How much water should Mary pour into the vase

1 answer:

dangina [55]2 years ago

6 0

1.5 width and hmm... 6.8 height?

You might be interested in

How to you solve -15=y-62

sdas [7]

First move the (Y) to the other side of the equal sign,
$- y - 15 = - 62$
Then subtract add (15) on both sides
$- y = - 47$
Since a variable can't be negative just divide by (-1) on both sides,
$\frac{ - y}{ - 1} = \frac{ - 47}{ - 1}$
The answer would be,
$y = 47$
Hope this helped
:D

7 0

2 years ago

Please help me with the below question.

Snezhnost [94]

6a. By the convolution theorem,

$L\{t^3\star e^{5t}\} = L\{t^3\} \times L\{e^{5t}\} = \dfrac6{s^4} \times \dfrac1{s-5} = \boxed{\dfrac5{s^4(s-5)}}$

6b. Similarly,

$L\{e^{3t}\star \cos(t)\} = L\{e^{3t}\} \times L\{\cos(t)\} = \dfrac1{s-3} \times \dfrac s{1+s^2} = \boxed{\dfrac s{(s-3)(s^2+1)}}$

7. Take the Laplace transform of both sides, noting that the integral is the convolution of $e^t$ and $f(t)$ .

$\displaystyle f(t) = 3 - 4 \int_0^t e^\tau f(t - \tau) \, d\tau$

$\implies \displaystyle F(s) = \dfrac3s - 4 F(s) G(s)$

where $g(t) = e^t$ . Then $G(s) = \frac1{s-1}$ , and

$F(s) = \dfrac3s - \dfrac4{s-1} F(s) \implies F(s) = \dfrac{\frac3s}{\frac{s+3}{s-1}} = 3\dfrac{s-1}{s(s+3)}$

We have the partial fraction decomposition,

$\dfrac{s-1}{s(s+3)} = \dfrac13 \left(-\dfrac1s + \dfrac4{s+3}\right)$

Then we can easily compute the inverse transform to solve for f(t) :

$F(s) = -\dfrac1s + \dfrac4{s+3}$

$\implies \boxed{f(t) = -1 + 4e^{-3t}}$

6 0

1 year ago

Prove <br><br><br><br><img src="https://tex.z-dn.net/?f=%20%5C%5C%20" id="TexFormula1" title=" \\ " alt=" \\ " align="absmiddle"

irina1246 [14]

jwjwhbahauiwbsbbdvwhwuusg

5 0

3 years ago

Read 2 more answers

Evaluate:<br><br> -7 - (-8) + (-3) + 6 - 2<br><br> A) -2 <br> B) 0 <br> C) 1 <br> D) 2

Gala2k [10]

Answer:

D) 2

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Classify the following angle. 28. I WILL GIVE BRANLIEST!!!!!! RATE AND VOTE!!!!HELPP

Kaylis [27]

Answer:

reflex angle

Step-by-step explanation:

Acute is less than 90

Right = 90

Obtuse is greater than 90 and less than 180

Straight is 180

Reflex is greater than 180 and less than 360

This is greater than 90 and less than 180 so it is a reflex angle

3 0

3 years ago