1 answer:
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Answer:
d. 1.5%
Step-by-step explanation:
Given - The track and field coach records Ian's 400-meter race times during three practices.
Practice 1 2 3
Time (s) 63 60 58
To find - How much greater was the percent of change from Practice 1 to Practice 2 than from Practice 2 to Practice 3? Round to the nearest tenth.
a. 7.9%
b. 4.8%
c. 3.3%
d. 1.5%
Proof -
% change from Practice 1 to Practice 2 change = %
= % = - 4.761904762 %
⇒% change from Practice 1 to Practice 2 change = - 4.762 %
Now,
% change from Practice 2 to Practice 3 change = %
= % = - 3.334 %
⇒% change from Practice 2 to Practice 3 change = - 3.3334 %
So,
- 4.461904762% - (- 3.3334%) = -4.461904762 + 3.3334 % = -1.4285 % ≈ 1.5%
∴ we get
Value = 1.5%
The correct option is - d. 1.5%
Q1. The answer is <span>1 over 5 to the 3rd power.
</span>5 to the 5th is 5⁵
5 to the 8th is 5⁸
5 to the 5th over 5 to the 8th is
To simplify, we will use two rules:
Therefore:
is the same as 1 over 5 to the 3rd power.
Q2. The answer is <span>(53)−4.
The exponents are multiplied when are expressed in the form:
</span>
So,
Other choices are incorrect:
<span>one third to the 4th times one third to the 7th is </span>
3 to the 7th over 3 to the 15th is
<span>45 ⋅ 42 is </span>
</span>5 to the 5th is 5⁵
5 to the 8th is 5⁸
5 to the 5th over 5 to the 8th is
To simplify, we will use two rules:
Therefore:
Q2. The answer is <span>(53)−4.
The exponents are multiplied when are expressed in the form:
</span>
So,
Other choices are incorrect:
<span>one third to the 4th times one third to the 7th is </span>
3 to the 7th over 3 to the 15th is
<span>45 ⋅ 42 is </span>