Answer:
A culture started with 5000 bacteria. after 4 hours, it grew to 6000.
=> Increasing rate = difference/time = (6000 - 5000)/4 = 250 bacteria/hour
=> The number of bacteria after 17 hours:
N = 5000 + 250 x 17 = 9250 bacteria
Hope this helps!
:)
Answer: M = 2100$
Explanation:
M = P(1 + I)^n
P = 600$, I = 4% = 0.04, n = 10
=> M = 600(1 + 0.04)^10
M = 600(1.04)^10
M = 600(3.5)
M = 2100$
Literally just plug it in
6(7) + 5(-4) - 42 = 0
42 -20 -42 = 0
-20 = 0
Not a solution.
Hello,
r=5(1+cos t)
r'=5(-sin t)
r²+r'²= 25[(1+cos t)²+(-sin t)²]=50(1-cos t)=50 sin² (t/2)
Between 0 and π, sin x>0 ==>|sin x|=sin x
![l= 2*5* \int\limits^{\pi}_0{sin( \frac{t}{2} )} \, dt= 5[-cos (t/2)]_0^{\pi}\\\\ =5(0+1)=5](https://tex.z-dn.net/?f=l%3D%202%2A5%2A%20%5Cint%5Climits%5E%7B%5Cpi%7D_0%7Bsin%28%20%5Cfrac%7Bt%7D%7B2%7D%20%29%7D%20%5C%2C%20dt%3D%205%5B-cos%20%28t%2F2%29%5D_0%5E%7B%5Cpi%7D%5C%5C%5C%5C%0A%3D5%280%2B1%29%3D5)
Here is the method but i may have make some mistakes.
Answer:
1/3(5.2)h cm³
Step-by-step explanation:
A solid right pyramid has a regular hexagonal base with an area of 5.2 cm2 and a height of h cm. Which expression represents the volume of the pyramid?
One-fifth(5.2)h cm3 StartFraction 1 Over 5 h EndFraction(5.2)h cm3
One-third(5.2)h cm3 StartFraction 1 Over 3 h EndFraction(5.2)h cm3
Volume of the pyramid = 1/3 × area × height
Area = 5.2 cm²
Height = h cm
Volume of the pyramid = 1/3 × 5.2 cm² × h cm
= 1/3(5.2)h cm³
