Answer:
<h2>a) Average velocity = 278 units</h2><h2>b)
Instantaneous velocity at t = 7 seconds is 148 units</h2>
Step-by-step explanation:
a) Average velocity is the ratio of displacement to time.
We have
s(t) = t³ + t
t is in between 7 and 12
s(7) = 7³ + 7 = 350
s(12) = 12³ + 12 = 1740
Displacement = 1740 - 350 = 1390
Time = 12 - 7 = 5
Displacement = Average velocity x time
1390 = Average velocity x 5
Average velocity = 278 units
b) s(t) = t³ + t
Differentiating
v(t) = 3t² + 1
At t = 7
v(t) = 3 x 7² + 1 = 148 units
Instantaneous velocity at t = 7 seconds is 148 units
Answer:
It would be (x0.3,y0.3). C is the answer
Step-by-step explanation:
Because if you actually read it, it already gave you the answer which is the scale factor of 0.3
so that would lead to (x0.3,y0.3)
Answer:
30 Oranges!
Step-by-step explanation:
Given that for every 2 apples there are 3 oranges.
How many oranges would be there in a basket of 20 apples?
Since for every couple of apples we have 3 oranges we will calculate how many couples of apples are there in the basket.
Given there are 20 apples. This means that there are 
= 10 pairs of apples.
Since for one pair we have three oranges, for 10 pairs we would have 3 X 10 = 30 oranges.
Therefore, we can conclude that the number of oranges in the bigger basket would be 30.
Multiply 4 by 10%.
10% ⇒ 0.1
4 × 0.1 = 0.4
Subtract 0.4 from 4.
4 - 0.4 = 3.6 (price with discount)
Multiply 3.6 by 6%.
6% ⇒ 0.06
3.6 × 0.06 = 0.216
Add 0.216 to 3.6.
0.216 + 3.6 = 3.816
Round 3.816 to the hundredths.
3.816 ⇒ 3.82 (price with tax)
The new price of toothbrushes is $3.82.
Answer:
x <u>></u> 15
Step-by-step explanation:
4(x + 15) <u>></u> 120
Divide by 4
x + 15 <u>></u> 30
Subtract 15
x <u>></u> 15
