Answer:
area = 102 ft²
Step-by-step explanation:
(8x6) + (9x6) = 48 + 54 = 102 ft²
Starting off, we can multiply the third equation by 2 and add it to the third to get rid of both the x and y variables. Next, we get z=1. Plugging that into 3y-5z=-23, we get 3y-5=-23. Adding 5 to both sides, we get 3y=-18. After that, we can divide both sides by 3 to get y=-6. Plugging that into -2x-y-z=-3, we get -2x+6-1=-3=-2x+5. Subtracting 5x from both sides, we get -2x=-8. After that, we can divide both sides by -2 to get x=4.
Answer:
![P(t)=3,000,000-3,000,000e^{0.0138t}](https://tex.z-dn.net/?f=P%28t%29%3D3%2C000%2C000-3%2C000%2C000e%5E%7B0.0138t%7D)
Step-by-step explanation:
Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have
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
<em>P(0) = 0 and P(50) = 1,500,000
</em>
We have and ordinary differential equation of first order that we can write
The <em>integrating factor </em>is
Multiplying both sides of the equation by the integrating factor
Hence
Integrating both sides
But P(0) = 0, so C = -3,000,000
and P(50) = 1,500,000
so
And the equation that models the number of people (in millions) who become aware of the product by time t is
Answer:
35
Step-by-step explanation:
4x4+4(5-2)+7
=4x4+4(3)+7
=16+12+7
=28+7
=35
To find AB(x) and BC(y), you can do(there are multiple ways you can do this):
tan A = ![\frac{y}{7}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B7%7D)
tan 60° =
or (tan 60°) · 7 = y
tan 60° = ![\frac{\frac{\sqrt{3} }{2} }{ \frac{1}{2} } = \sqrt{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D%20%7D%7B%20%5Cfrac%7B1%7D%7B2%7D%20%7D%20%3D%20%5Csqrt%7B3%7D)
√3 · 7 = y
7√3 cm = y
sin B = ![\frac{7}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7Bx%7D)
sin 30° =
or ![x= \frac{7}{sin 30}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B7%7D%7Bsin%2030%7D)
sin 30° =
= ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
x = ![\frac{7}{\frac{1}{2} } = 14](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%20%3D%2014)
x = 14 cm
AB = 14cm
BC = 7√3 cm