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3 years ago

Difference between cylinder and cone formula

Mathematics

1 answer:

seropon [69]3 years ago

5 0

If your trying to find area....
Cylinder formula is
V= (Pie) 3.14 X r2 X h
[volume = pie 3.14 times the radius squared times the height]
Cone formula is
V= (Pie) 3.14 X r2 X h / 3
[volume = pie 3.14 times the radius squared times the height then divide that answer by 3 ]

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Uninhibited growth can be modeled by exponential functions other than A(t) =Upper A 0 e Superscript kt. For example, if an i

laila [671]

The question is incomplete. Here is the complete question.

Uninhibited growth can be modeled by exponential functions other than $A(t)=A_{0}e^{kt}$ . for example, if an initial population P₀ requires n units of time to triple, then the function $P(t)=P_{0}(3)^{\frac{t}{n} }$ models the size of the population at time t. An insect population grows exponentially. Complete the parts a through d below.

a) If the population triples in 30 days, and 50 insects are present initially, write an exponential function of the form $P(t)=P_{0}(3)^{\frac{t}{n} }$ that models the population.

b) What will the population be in 47 days?

c) When wil the population reach 750?

d) Express the model from part (a) in the form $A(t)=A_{0}e^{kt}$ .

Answer: a) $P(t)=50(3)^{\frac{t}{30} }$

b) P(t) = 280 insects

c) t = 74 days

d) $A(t)=50e^{0.037t}$

Step-by-step explanation:

a) n is time necessary to triple the population of insects, i.e., n = 30 and P₀ = 50. So, Exponential equation for growth is

$P(t)=50(3)^{\frac{t}{30} }$

b) In t = 47 days:

$P(t)=50(3)^{\frac{t}{30} }$

$P(47)=50(3)^{\frac{47}{30} }$

$P(47)=50(3)^{1.567}$

P(47) = 280

In 47 days, population of insects will be 280

c) P(t) = 750

$750=50(3)^{\frac{t}{30} }$

$\frac{750}{50}=(3)^{\frac{t}{30} }$

$(3)^{\frac{t}{n} }=15$

Using the property <u>Power</u> <u>Rule</u> of logarithm:

$log(3)^{\frac{t}{30} }=log15$

$\frac{t}{30}log(3)=log15$

$t=\frac{log15}{log3} .30$

t = 74

To reach a population of 750 insects, it will take 74 days

d) To express the population growth into the described form, determine the constant k, using the following:

A(t) = 3A₀ and t = 30

$A(t)=A_{0}e^{kt}$

$3A_{0}=A_{0}e^{30k}$

$3=e^{30k}$

Use Power Rule again:

$ln3=ln(e^{30k})$

$ln3=30k$

$k=\frac{ln3}{30}$

k = 0.037

Equation for exponential growth will be:

$A(t)=50e^{0.037t}$

3 0

2 years ago

What is the mid point between (0,0) and (3,4)

Maksim231197 [3]

Answer:

Midpoint of a line segment

(xM,yM) = (4, 5).

7 0

3 years ago

Read 2 more answers

1/3 + 1/4 and the the sinplest form

Verizon [17]

The least common multiple between 3 and 4 is 12, so we can use this fact to rewrite both 1/3 and 1/4 in 12ths:

$\big( \frac{1}{3}\times \frac{4}{4}\big) + \big(\frac{1}{4}\times \frac{3}{3}\big)=\\ = \frac{4}{12}+ \frac{3}{12}\\\\ = \frac{7}{12}$

We're left with an answer of 7/12, which can't be reduced.

8 0

3 years ago

true or false : If a number Y has Z positive integer factors, then Y and 2Z are integer factors. If true explain how

Maru [420]

Here's ur perfect answer