Answer:
The three errors are:
1) Incorrectly swapping the variables x and y.
2) Failure to use the ± symbol.
3) The domain is wrong; it should be x ≤ 0.
Step-by-step explanation:
Review the following steps.
Step 1: 
The initial step is incorrect because the variables x and y were switched improperly; it should be:
Step 2: 
Step 3: 
Step 4: 
, for x ≥ 0
Step 4 contains an error as the ± sign is required. Additionally, the function's domain is inaccurately stated.
The radicand must be nonnegative, implying that x must satisfy x ≤ 0.
According to the rule of 72,
72/rate=time
72÷9.6=7.5 years
An alternative method for resolution using the main formula
2300=1150(1+0.096/4)^4t
Isolate t
t=((log(2,300÷1,150)÷log(1+(0.096÷4))÷4))=7.31 years
I hope this is helpful:-)
Answer:
(-16x + 13)° + (-20x + 23)° = 180° (ángulo recto)
-16x° + 13° - 20x° + 23° = 180°
-36x° + 36° = 180°
-36x° = 180° - 36°
-36x° = 144°
-x° = 144°/(-36)
x° = 36°
Espero que puedas conocer esta respuesta
Answer:
Step-by-step explanation:
For question 1, the result is calculated by dividing the percentage of students in the sports club by the SAT average, while for question 2, the answer is no since the definitions yield contrary outcomes.
To determine the rates at which the inlet and outlet pipes fill and empty the reservoir, we remember that work done equals rate multiplied by time. Let’s denote the inlet rate as i and for the outlet pipe as 0. Therefore,
i(24) = 1
o(28) = 1
In this context, the '1' represents the total number of reservoirs, since the problem states the time needed for each pipe to either fill or empty a singular reservoir. Solving for rates yields:
i = 1/24 reservoirs/hour
o = 1/28 reservoirs/hour
Over the first six hours, the inlet pipe fills (1/24)(6) = 1/4 reservoirs and during the same period, the outlet pipe empties (1/28)(6) = 3/14 reservoirs. To calculate the net volume of the reservoir filled, we subtract the emptying total from the filling total:
1/4 - 3/14 = 1/28 reservoirs (note that if emptying exceeds filling, a negative value results. In such cases, treat that negative value as zero, indicating that the outlet rate surpasses the inlet rate, leading to an empty reservoir).
Now we need to find out how long it will take to fill up one reservoir since we’ve already partially filled 1/28 of it, after closing the outlet pipe. In simpler terms, we need to determine the time required for the inlet pipe to finish filling the remaining 27/28 of the reservoir. Fortunately, we have already established the filling rate for the inlet pipe, leading to the equation:
(1/24)t = 27/28
Solving for t gives us 23.14 hours. Remember to add the initial 6 hours to this result since the question seeks the total time. Thus, the final total is 29.14 hours.
Please ask me any questions you may have!
