<span>The
number of bacteria, b:
b(t) = 15t^2 − 60t + 125,
temperature, t:
t(h) = 3h + 4
Find the number
of bacteria in the food in h hours
=> you need to find b as a function of h, i.e. b(h) = b[t(h)]
b [t (h)]= 15 [t(h) ]^2 - 60 [t(h)] + 125
b(h) = 15 [ 3h + 4}^2 - 60 [3h + 4] + 125
b(h) = 15[9h^2 + 24h + 16] - 180h - 240 + 125
b(h) = 135h^2 + 360h + 240 - 180h + 125
b(h) = 135h^2 + 180h + 365 <---------- answer
</span>
0.006 is your answer.......
Answer:
Therefore the value of x is
![x=1\pm\sqrt{19}i](https://tex.z-dn.net/?f=x%3D1%5Cpm%5Csqrt%7B19%7Di)
Step-by-step explanation:
Given:
which is
![x^{2}-2x+20=0](https://tex.z-dn.net/?f=x%5E%7B2%7D-2x%2B20%3D0)
To Find:
x = ? using Quadratic Formula
Solution:
For a Quadratic Equation ax² + bx + c = 0 , Formula Method is given as
![x=\dfrac{-b\pm\sqrt{b^{2}-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B-b%5Cpm%5Csqrt%7Bb%5E%7B2%7D-4ac%7D%7D%7B2a%7D)
On Comparing with above we get
![a=1\\b=-2\\c=20](https://tex.z-dn.net/?f=a%3D1%5C%5Cb%3D-2%5C%5Cc%3D20)
Substituting a , b , c in Formula method we get
![x=\dfrac{-(-2)\pm\sqrt{(-2)^{2}-4(1)(20)}}{2\times 1}\\\\x=\dfrac{2\pm\sqrt{-76}}{2}\\\\x=\dfrac{2\pm2\sqrt{19}i}{2}\\Dividing\ by\ 2\ we\ get\\\\x=1 \pm\sqrt{19}i](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B-%28-2%29%5Cpm%5Csqrt%7B%28-2%29%5E%7B2%7D-4%281%29%2820%29%7D%7D%7B2%5Ctimes%201%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B2%5Cpm%5Csqrt%7B-76%7D%7D%7B2%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B2%5Cpm2%5Csqrt%7B19%7Di%7D%7B2%7D%5C%5CDividing%5C%20by%5C%202%5C%20we%5C%20get%5C%5C%5C%5Cx%3D1%20%5Cpm%5Csqrt%7B19%7Di)
Therefore the value of x is
![x=1\pm\sqrt{19}i](https://tex.z-dn.net/?f=x%3D1%5Cpm%5Csqrt%7B19%7Di)
Since both equal y, they have to equal each other. set them equal to each other as -3x+1=2x-4. add four to both sides to get -3x+5=2x. add -3x to both sides to get 5=5x. divide both sides by one to get x=1.
Answer:
D) 523.6 ft
Step-by-step explanation:
Use the equation for volume of a sphere
![V=\frac{4}{3}\pi r^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E%7B3%7D)
Plug in 5 for the radius
![V= \frac{4}{3}\pi 5^{3}](https://tex.z-dn.net/?f=V%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%205%5E%7B3%7D)
V = 523.6 ft
If this answer is correct, please make me Brainliest!