Answer: 
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Work Shown:


The trick here is to first simplify the expression so that the
term in the very lower denominator cancels out. This is to avoid dividing by zero. Once this division by zero error is avoided, we can replace the delta x term with 0 and evaluate the limit as
approaches 0 from the right or positive direction.
Answer:
400
Step-by-step explanation:
Looking at the number 433, we have to look at the number in the tens place (in this case, 3) to determine if we will round down to 400, or up to 500.
Because the number 3 is less than 5, we will round down to 400.
(Can I have Brainlist?)
Answer:
10%
Step-by-step explanation:
The following information can be gotten from the question regarding the number of people that went to the swimming pool are:
First week of July = 1020
Second week = 1020 - 100 = 920
Third week = 920 + 130 = 1050
Fourth week = 1050 - 132 = 918
The percentage decrease over the four weeks will be:
= (1020 - 918)/1020 × 100
= 102/1020 × 100
= 10%
Answer:
∠RPQ = 53°
Step-by-step explanation:
∠SPR and ∠RPQ are complementary, meaning that they add up to 90°. So,
∠SPR + ∠RPQ = 90°
We know that ∠SPR = 37°, so
37° + ∠RPQ = 90°
∠RPQ = 90° - 37°
∠RPQ = 53°