<u>Answer</u>
3×(2×5)
<u>Explanation</u>
Multiplication of numbers is associative. For example,
(a×b)×c = a×(b×c)
This is also called grouping. We multiply more than 2 numbers by grouping.
For the equation given above, (3x2)x5, it can also be grouped as 3×(2×5).
Answer:
3 hours
Explanation:
1) Set an expression for each of the studios we can set out variable as h for hours because that is the unknown value.
Studio A: 10+8h
Studio B: 16+6h
To find out how many hours would pass for their costs to equal each other, we have to make them literally equal each other.
10+8h=16+6h
Now that we have an equation, we can start solving.
10+8h=16+6h
Combine like terms
10-16=6h-8h
-6=-2h
2h=6
Divide both sides by 2 to isolate h
2h/2=6/2
h=3
I hope this helped! If it did, a brainliest would be much appreciated :)
Answer:
See below
Step-by-step explanation:
a) <u>Using the first two lines to get the equation:</u>
Since t = 0 represents a start point, the y-intercept is 163488
<u>Slope is:</u>
- (168392 - 163488)/10 = 490.4
<u>And the equation:</u>
- P(t) = 490.4(t - 1970) + 163488
b) Prediction of the population in 2012 using the function:
- P(2012) = 490.4(2012 - 1970) + 163488 = 184084.8
As we see the number we got is less than the one on the line 3 of the table. So the model underestimated the actual population.
Given that the ball was rolling with an initial velocity of 4.80 m/s, when it encountered the ramp.
Given that the accerelation with which it rolled over the ramp was

and that the ranp is 0.750 m long.
The final velocity of an object with an initial velocity, u, with an accerelation, a, moving through a distance, s is given by

Thus, the <span>final velocity of the ball when it reaches the top of the ramp is given by

</span>