All categories

3 years ago

7.Suppose that water is entering a cylindrical water tank so that the initial height of the water is 3 cm and the

Mathematics

1 answer:

lukranit [14]3 years ago

4 0

Answer:

$H(t) = 3*2^{t/30}$

Step-by-step explanation:

Height doubles at every 30 seconds, so let's call n how many times it happens, and the t the total time:

n = t/30

If the height doubles one time, it is multiplied by 2, if it doubles 2 times, it's multiplied by 2², for n times, it is multiplied by 2ⁿ, so for an initial height equal to 3:

$H(t) = 3*2^{t/30}$

You might be interested in

the pitch, or frequency, of a vibrating string varies directly with the square root of the tension. if a string vibrates at a fr

Naily [24]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\begin{array}{llll}
\stackrel{frequency}{f}\textit{ of a vibrating string varies directly}\\
\qquad \qquad \textit{with the square root of the tension }\stackrel{tension}{t}
\end{array}$

$\bf f=k\sqrt{t}\quad \textit{we also know that }
\begin{cases}
f=300\\
t=8
\end{cases}\implies 300=k\sqrt{8}
\\\\\\
\cfrac{300}{\sqrt{8}}=k\implies \cfrac{300}{\sqrt{2^2\cdot 2}}=k\implies \cfrac{300}{2\sqrt{2}}=k\implies \cfrac{150}{\sqrt{2}}=k
\\\\\\
\textit{and we can \underline{rationalize} it to }\cfrac{150\sqrt{2}}{2}\implies 75\sqrt{2}=k$

$\bf thus\qquad f=\stackrel{k}{75\sqrt{2}}\sqrt{t}\implies \boxed{f=75\sqrt{2t}}\\\\
-------------------------------\\\\
\textit{now, when t = 72, what is \underline{f}?}\qquad f=75\sqrt{2(72)}$

5 0

3 years ago

Read 2 more answers

Newton's first law of motion applies only to objects that are already moving.<br> O True<br> O False

larisa [96]

Answer:

false

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

For numbers 19 and 20 you have to solve for the missing angle.

Illusion [34]

Answer:19. 17 degrees

20. 49 degrees

Step-by-step explanation:

Because of the postulate 50+?=67

So ?=17

And 20.

94+?=143

?=49

(Edit)I though you only meant 19 and 20

21. X=8

22. X=12

23.x=8

24.x=7

7 0

3 years ago

Please help i will mark branliest and rank up

Igoryamba

Answer:

C 2 and 7 are interior angles

Step-by-step explanation:

Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.

4 0

3 years ago

Please help me! Please!

user100 [1]

Answer:

C) -3 is the answer

6 0

3 years ago