Answer: 9.3 ×
Step-by-step explanation: To write a number in scientific notation, first write a decimal point in the number so that there is only one digit to the left of the decimal point.
In this case, we can write 93,000,000 as 9.3000000 and notice that there is only one digit to the left of the decimal point.
Next, we count the number of places the decimal point would need to move to get back to the original number which is 93,000,000.
Since we will need to move the decimal point seven places to the left, we have an exponent of positive 7. Our exponent will be positive because we need to move the decimal point seven places to the right. Now, we can write our number in scientific notation.
9.3 ×
2 hr 15 min = 2
hours = 2.25 hours
"how far" means distance ... so distance = rate x time
distance = 56 x 2.25 =
126 miles
"how long" means time ... so using the same formula
168 = 56 x time
divide both sides of the equation by 56 to solve
3 hours = time
1) Venn Diagram is used to organize data
2) Four circles. Three intersection circles, and one which contains other three circles
3) In the intersection area of three circles.
4) In the circle which contains other three circles, but not inside any of the intersecting circles.
Answer:
Step-by-step explanation:
The exponential function and the natural log are inverse functions:
e^ln(x) = x
Using both sides of your given equation as exponents for e, we have ...
e^(ln(3x)) = e^5
From the above, we know that ...
e^(ln(3x)) = 3x
so we can substitute that into the preceding equation to get ...
3x = e^5
Swapping sides of the equal sign gives an equation that matches choice B:
e^5 = 3x