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2 years ago

Find the surface area of a cylinder with a base radius of 5 ft and a height of 6 ft.

Mathematics

1 answer:

Nadusha1986 [10]2 years ago

3 0

Answer: 110pi

Solution: S = 2•pi•r•h + 2 pi•r^2 =2•6•5pi + 2•pi•25 = 60pi + 50pi = 110pi

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Solve the following equation algebraically: 3 x squared = 375 a. x almost-equals 49 b. x almost-equals plus-or-minus 49 c. x alm

d1i1m1o1n [39]

3x^2=375
x^2=125
x=11.18

c or d, they say the same thing

4 0

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

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

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

The <em>integrating factor </em>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

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

5 0

3 years ago

What does 2 10/19 plus 3 9/12 equal?

Dennis_Churaev [7]

It equals 6 21/79 aaaaaaa

7 0

3 years ago

Write each equation in slope-intercept form (3,4); and (-6,-2)

Alborosie

Answer:

y = 2/3x + 2

Step-by-step explanation:

Slope intercept form is y=mx+b where m is the slope and b is the y intercept.

Given 2 points you can find the slope using (y-y1)/(x-x1)

m = (-2-4)/(-6-3) = -6/-9 = 2/3

To find b use one of the points and m and plug into the slope intercept form and then solve for b.

y=mx+b

4=2/3(3) + b

4=2 + b

b=2

Now we can write the final equation as : (plug m and b back in)

y = 2/3x + 2

7 0

2 years ago

Read 2 more answers

create a function and explain why it is a function using academic vocabulary (input ,output, mapping, vertical line test and fun

Tems11 [23]

An example would be using points
(0,0)(1,2)(7,14)(10,20)

it is a function because each input has only one input.

or

using the vertical line test none of the points are on the same line

6 0

3 years ago