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3 years ago

1. Does the bowling ball have more potential energy or kinetic energy as it sit on top of the building? Why?

Mathematics

1 answer:

elena-s [515]3 years ago

7 0

Answer:

The bowling ball have more gravitational potential energy as it sit on top of the building

Step-by-step explanation:

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Given the Arithmetic Sequence 9,12,15,18,21,...find the formula

Georgia [21]

Answer:

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3 years ago

An advertising company designs a campaign to introduce a new product to a metropolitan area of population 3 Million people. Let

Advocard [28]

Answer:

$P(t)=3,000,000-3,000,000e^{0.0138t}$

Step-by-step explanation:

Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have

$P'(t)=K(3,000,000-P(t))$

Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising

P(0) = 0 and P(50) = 1,500,000

We have and ordinary differential equation of first order that we can write

$P'(t)+KP(t)= 3,000,000K$

The integrating factor is

$e^{Kt}$

Multiplying both sides of the equation by the integrating factor

$e^{Kt}P'(t)+e^{Kt}KP(t)= e^{Kt}3,000,000*K$

Hence

$(e^{Kt}P(t))'=3,000,000Ke^{Kt}$

Integrating both sides

$e^{Kt}P(t)=3,000,000K \int e^{Kt}dt +C$

$e^{Kt}P(t)=3,000,000K(\frac{e^{Kt}}{K})+C$

$P(t)=3,000,000+Ce^{-Kt}$

But P(0) = 0, so C = -3,000,000

and P(50) = 1,500,000

$e^{-50K}=\frac{1}{2}\Rightarrow K=-\frac{log(0.5)}{50}=0.0138$

And the equation that models the number of people (in millions) who become aware of the product by time t is

$P(t)=3,000,000-3,000,000e^{0.0138t}$

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3 years ago

The formula f equals c over lambda, where f = frequency, c = wave speed, and λ = wavelength, is used to calculate frequency. Sol

Alexus [3.1K]

Answer:

B. c = fλ

Step-by-step explanation:

The given equation is

$f=\frac{c}{\lambda}$

To solve for c you must multiply both sides of the equation by lambda.

$f=\frac{c}{\lambda}\\f\lambda=\frac{c}{\lambda}*\lambda \\f \lambda=c$

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3 years ago

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A box of national brand cornflakes is $2.09 for 12 ounces. A box of store label cornflakes is $3.09 for 20 ounces.

grin007 [14]

Answer:

National brand cornflakes is 0.174 = .17/oz
Store label cornflakes is 0.514 = .15/oz

B) The larger box is cheaper per ounce.

C) 2.09 – .30 = 1.79 for 12 ounces. So than $1.79/12= .15/oz.

They would both be the same so there would be no better deal.

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3 years ago

A school is designed so that 5 hallways meet at the library in the shape of a regular pentagon. Find the measure of one of the e

marusya05 [52]

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3 years ago

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