Answer:
The answer is 15
Step-by-step explanation:
135÷9=15
Answer:
y = -14
Step-by-step explanation:
7y - 8y - 28 = -14
- y = -14 + 28
- y = 14
y = -14
hope it helps!
Answer:
the number of bacteria increases at a rate of 15% each day
Step-by-step explanation:
Given the function :
f(x) = 256(1.15)^x
The function represents an exponential growth function ; comparing the equation with the general form of an exponential growth function :
f(x) = A(1 + r)^t
A = the initial value of the population, = 256
(1 + r),; r = growth rate
Therefore, to solve for r ;
1 + r = 1.15
r = 1.15 - 1 ; r = 0.15
Hence, growth rate = 0.15 = 0.15 * 100% = 15%
Hence, the number of bacteria increases at a rate of 15% each day
Answer:
4.2 ft
Step-by-step explanation:
Given the equation for the Law of Cosines, we can rewrite the equation to solve for "c" directly:
![c^2=a^2+b^2-2ab(cosC)\\c=\sqrt{a^2+b^2-2ab(cosC)}\\c=\sqrt{7^2+8^2-2(7)(8)(cos32)}\\c=\sqrt{49+64-2(56)(cos32)}\\c=\sqrt{113-112(cos32)}\\c=\sqrt{113-94.98138677}\\c=\sqrt{18.01861323}\\c=4.244833711\\c=4.2](https://tex.z-dn.net/?f=c%5E2%3Da%5E2%2Bb%5E2-2ab%28cosC%29%5C%5Cc%3D%5Csqrt%7Ba%5E2%2Bb%5E2-2ab%28cosC%29%7D%5C%5Cc%3D%5Csqrt%7B7%5E2%2B8%5E2-2%287%29%288%29%28cos32%29%7D%5C%5Cc%3D%5Csqrt%7B49%2B64-2%2856%29%28cos32%29%7D%5C%5Cc%3D%5Csqrt%7B113-112%28cos32%29%7D%5C%5Cc%3D%5Csqrt%7B113-94.98138677%7D%5C%5Cc%3D%5Csqrt%7B18.01861323%7D%5C%5Cc%3D4.244833711%5C%5Cc%3D4.2)
So the length of c is approximately 4.2 ft
Answer: The runner will sprint 4,200 inches during this week
Step-by-step explanation:
50 * 7 = 350
350 * 12 = 4200