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3 years ago

What is the length and width of this cylinder?

Mathematics

1 answer:

defon3 years ago

5 0

<span>it can hold 804.25 Gallons </span>

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Which intersection forms a parabola?

NeTakaya

Answer

A plane intersects only one nappe of a double-napped cone, and the plane is not parallel to the generating line of the cone.

Step-by-step explanation:

Parabola is a symmetrical open plane bend framed by the crossing point of a cone with a plane parallel to its side. The way of a shot affected by gravity in a perfect world takes after a bend of this shape.

7 0

3 years ago

Leno4ka [110]

Answer:

$\frac{s^2-25}{(s^2+25)^2}$

Step-by-step explanation:

Let's use the definition of the Laplace transform and the identity given: $\mathcal{L}[t \cos 5t]=(-1)F'(s)$ with $F(s)=\mathcal{L}[\cos 5t]$ .

Now, $F(s)=\int_0 ^{+ \infty}e^{-st}\cos(5t) dt$ . Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that $F(s)=\frac{1}{5}\sin(5t)e^{-st} |_{0}^{+\infty}+\frac{s}{5}\int_0 ^{+ \infty}e^{-st}\sin(5t) dt=\int_0 ^{+ \infty}e^{-st}\sin(5t) dt$ .

Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that

$F(s)=\frac{s}{5}(\frac{-1}{5}\cos(5t)e^{-st} |_{0}^{+\infty}-\frac{s}{5}\int_0 ^{+ \infty}e^{-st}\sin(5t) dt)=\frac{s}{5}(\frac{1}{5}-\frac{s}{5}\int_0^{+ \infty}e^{-st}\sin(5t) dt)=\frac{s}{5}-\frac{s^2}{25}F(s)$ .

Solving for F(s) on the last equation, $F(s)=\frac{s}{s^2+25}$ , then the Laplace transform we were searching is $-F'(s)=\frac{s^2-25}{(s^2+25)^2}$

3 0

3 years ago

The coordinates of a point on a coordinate grid are (−3, 7). The point is reflected across the x-axis to obtain a new point. The

shepuryov [24]

The reflected points would be (-3,-7)

The x coordinate would stay the same but the y-coordinate would be the opposite

8 0

3 years ago

Two positive, consecutive, odd integers have a product of 143. set up an equation to then solve for the integers.

mixer [17]

Answer:

Step-by-step explanation:

Let (2n-1) and (2n+1) be the consecutive, odd numbers.

(2n-1)(2n+1) = 143

4n² - 1 = 143

4n² = 144

n² = 36

n = 6

2n-1 = 11

2n+1 = 13

The numbers are 11 and 13.

6 0

3 years ago

Simon put $15000 in an account with a simple interest rate of 4.5%. How much interest will be earned after 8 years?

Leto [7]

$~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$15000\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ t=years\dotfill &8 \end{cases} \\\\\\ I = (15000)(0.045)(8)\implies I=5400$

4 0

2 years ago