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3 years ago

What does "w" equal in the equation w²+6w-112+0?

Mathematics

1 answer:

Elenna [48]3 years ago

3 0

Answer:

w^2+6w-112

Step-by-step explanation:

combine like terms

w^2 and 6w are not like terms

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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

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

5 0

3 years ago

Write the sum of the numbers as the product of their gcf and another sum 58+14

AnnyKZ [126]

I do not know but i am going to still glith the server if you need help go to google

4 0

3 years ago

Please help me ill mark brainlyest if correct

Eva8 [605]

Answer:

50m²

Explanation:

first, we have to find the length and width of the backyard. since 4cm represents 5m, we know that the real width of the backyard is 5m.

as for the length of the backyard, 8cm is double of 4cm so we can also double 5m to get 10m.

now, we can find the area by taking 5m × 10m = 50m².

i hope this helps! :D

7 0

2 years ago

Find the circumference of a circle with diameter,

goblinko [34]

Answer:

Step-by-step explanation:

radius(r)=diameter/2

=10.4/2

=5.2 cm

circumference of a circle =2πr

=2*3.14*5.2

=32.656

=32.7

7 0

3 years ago

A rocket is fired directly upwards with a velocity of 80 ft/sec. The equation for its height, H, as a function of time, t, is

sleet_krkn [62]

Answer:

(c).

Step-by-step explanation:

h(t) = - 16 t² + 80 t

Coordinates of the vertex are:

t = - $\frac{80}{2(-16)}$ = $\frac{5}{2}$ = 2.5 sec. 

h = - 16(2.5)² + 80(2.5) = - 100 + 200 = 100 ft.

3 0

3 years ago