Let x be the score Amaya gets on the final test. She wants her average of all 3 tests to be between 80 and 89:
<span>80 ≤ (78 + 91 + x) / 3 ≤ 89 </span>
<span>Multiply everything by 3: </span>
<span>240 ≤ 78 + 91 + x ≤ 267 </span>
<span>240 ≤ 169 + x ≤ 267 </span>
<span>Subtract 169 from everything: </span>
<span>240 - 169 ≤ x ≤ 267 - 169 </span>
<span>71 ≤ x ≤ 98 </span>
<span>Answer: </span>
<span>She needs to score between 71 and 98 to get a B for the course.</span>
Answer:
61
Step-by-step explanation:
So basically you separate the numbers like 1 1 1 1 0 1, and time 2 while having the number of numbers as the exponent decreasing. Like this, 1x2^5+1x2^4+1x2^3+1x2^2+0x2^1+1x2^0. Then figure it out and it would be 32+16+8+4+0+1=61. If don't understand, look at the picture below
Answer:
I believe the answer is $409.91
Step-by-step explanation:
1. To solve this problem, you need to remember that an exponential function has the following form:
f(x)=a^x
"a" is the base and "x" is the exponent.
2. It is important to know that the logarithmic functions and the exponential functionsare inverse. Then, you have:
<span>y=ln x
</span> e^y=e^(lnx)
<span> e^y=x
3. Therefore, the answer is:
</span>
x=<span>e^y</span>
