Answer: After 16 seconds the boats will be traveling the same speed.
Step-by-step explanation:
Given: Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second.
Mike's spewed after x seconds = 12 + 0.2x
Hank is driving a boat at 26.4 mph and is decreasing his speed by 0.7 mph each second.
Hank's speed after x seconds = 26.4 -0.7 x
As per given,
12 + 0.2x = 26.4 -0.7 x
Subtract 12 from both sides
0.2x= 26.4-12-0.7x
⇒ 0.2x= 14.4-0.7x
Add 0.7xn on both sides , we get
0.2x+0.7x= 14.4
⇒ 0.9x = 14.4
Multiply 10 on both sides, we get
9x=144
Divide both sides by 9 , we get x= 16
Hence, after 16 seconds the boats will be traveling the same speed.
Answer:
1
--------- = x
1000
Step-by-step explanation:
Copy down y = 10x.
Then substitute 1/100 for y:
1
-------- = 10x
100
Divide both sides by 10 to isolate (solve for) x:
1
--------- = x
1000
Answer: Option (c) is correct
Step-by-step explanation:
Slope of demand curve is negative and slope of supply curve is positive in both the models.
But labeling of axis is different in both the models. In the short-run macroeconomic model, y-axis represents the price level whereas x-axis represents the GDP.
While in the standard model for markets, y-axis shows the general price level whereas x-axis represents the output level.
Given:
A number is 400.
To find:
The additive inverse of 400.
Solution:
We know that the sum of a number and its additive inverse is 0.
If "a" is number and "b" is its additive inverse, then

Let x be the additive inverse of 400. Then,

Subtract both sides by 400.


Therefore, the additive inverse of 400 is
.
The answer is 22K/cubic ft