Answer:
Harry swims at 1.6 laps per minute and Larry swims at 1.8 laps per minute. Henry swims at a slower rate than Larry.
Step-by-step explanation:
i dont know for sure if this is right or not but i think it is. i mean for Henry the only number i have is 1.6 and so if that is going to be multiplied by x which is his minutes i would guess that that is the rate he is swimming at per minute. and as for larry, i took 4.5 (which is his laps) and divided it by 2.5 (which is his time) to get how many laps per minute he swims. i got 1.8. 1.6 is slower than 1.8 so therefore, i concluded that harry swam at a slower rate than larry.
Answer:
C
Step-by-step explanation:
-3 (-1+a)+7 <5
3-3a+7 <5
-3a+10 <5 (collect like terms )
-3a <-10+5
-3a <-5(divide both side by -3)
-3a/-3 <-5/-3
a>5/3
Answer:
They intersect when the Strike king is at (9,15.75) and Thunder Alley is at (7, 15.75). But only the X axes intersect. The X and Y axes intersect at (0,0) that's where they start and that is where they meet. Its a proportional relationship because their ratios are equivalent. It represents the constant of proportionality.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
An approximation of an integral is given by:

First, find Δx. Our a = 2 and b = 8:

The left endpoint is modeled with:

And the right endpoint is modeled with:

Since we are using a Left Riemann Sum, we will use the first equation.
Our function is:

Therefore:

By substitution:

Putting it all together:

Thus, our answer is C.
*Note: Not sure why they placed the exponent outside the cosine. Perhaps it was a typo. But C will most likely be the correct answer regardless.
The x² term will be C(5,2)x²·2³ = 80x².
The coefficient is 80.
_____
C(n, k) = n!/(k!·(n-k)!)
C(5, 2) = 5·4/(2·1) = 10