Answer:

Step-by-step explanation:
The appropriate trig identity is ...

Here, you have a scale factor of 6 and a=3θ, b=θ. Filling in these values gives ...

To find their average miles per hour we can divide the total miles by the hour used:
4 2/3 ÷ 1 2/3
=4x3+2/3 ÷ 1x3+2/3
=14/3 ÷ 5/3
In division, when we switch the place of numerator and denominator, we can change it to multiplication which makes the calculation easier as we can factorize the numbers.
=14/3 x 3/5
Factorize 3 in both amounts:
=14/1 x 5/1
=14/5
=2.8 miles/hour
Therefore their average speed is 2.8 miles/hour.
Hope it helps!
The correct answer for this question is 68.
Answer:
Higher
Step-by-step explanation:
1) In Macroeconomics, The core inflation rate does not include food and energy since these categories are way more volatile, due to oil and season matters. And statistically this measure looks for more robust items, to compose the core inflation in a more accurate way. The Consumer Prices Index (CPI) is the metric used for the cost of living.
Another Index, used by the Fed is the PCE, for the goods and services consumed by the US residents.
So, the Core inflation is based on CPI and PCE, <em>Personal Consumption Expenditure</em> therefore the inflation rate for the past year was higher than 4%, for it is not solely based on CPI index.
-5a^2 - 7a = -a x (5a + 7)
let me know if you have any other questions
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