Answer:
The derivative of the position function gives the velocity function
2 t^3 + 5 t -2 derivative = 6 t^2 + 5
The correct answer is 26.2, because you divide 82.53 by 3.15 since that is equal to 315%
Answer:
Options B and D are true.
Step-by-step explanation:
See the diagram attached.
Line a and b are parallel and line c is not parallel to them.
There is a transverse line and this line forms the angles 1 to 12.
Now, option A gives ∠ 8 + ∠ 10 = 180° which can not be true as line c is not parallel to line b.
Option B gives ∠4 + ∠ 6 = 180° which is true because line a is parallel to line b and ∠ 4 and ∠ 6 are interior supplementary angles.
Option C gives ∠ 1 + ∠ 11 = 180° which can not be true as line c is not parallel to line a.
Option D gives ∠3 + ∠ 5 = 180° which is true because line a is parallel to line b and ∠ 3 and ∠ 5 are interior supplementary angles.
Therefore, options B and D are true. (Answer)
Answer:
1. So if you want to know how is math related to baking, I will show you how. Firstly, if you bake a cake, you'll all have to use some measurement, and if you calculate anything wrong or place the crazy amount, the cake you're trying to bake would turn out awful. That's where maths come to play. You would have to calculate ratios and much more, for example, one tee-spoon of sugar to 2 tee-spoons of water it's a 1:2 ratio of sugar to water. If you try to make double the amount of cake, then you'll all have to double the ratio, too, so the ratio will become 2:4, and that's how we would use math in baking a cake. If you for any reason put more than the required amount, the whole cake would be ruined like it might be too sugary, and you will have to retry and bake another one.
2. Yes indeed I've tasted a mess up the cake, and I think that the problem was that the cake batter was much sugary than I expected and that's why you guys have to calculate the perfect amount of ingredients, and that's how maths would help us in baking a cake
hope this helps you btw
Step-by-step explanation:
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Answer: 1,953,125
This is one single value and it is just a bit under 2 million.
Or more accurately, it's a bit over 1.9 million.
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Explanation:
- a = 5 = first term
- r = -5 = common ratio
Note that dividing any term by its previous term gets us the common ratio
- r = term2/term1 = -25/5 = -5
- r = term3/term2 = 125/(-5) = -5
The r value must stay the same the entire time, or else the sequence isn't geometric.
The nth term of any geometric sequence is a*(r)^(n-1). With the 'a' and 'r' values we found, we update that to 5(-5)^(n-1)
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To verify that is the correct nth term expression, plug in various values of n to compare it with the given sequence.
If we tried n = 2 for instance, then we find the 2nd term is
5(-5)^(n-1) = 5(-5)^(2-1) = -25
which matches what your teacher gave you. I'll let you verify the other terms.
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The last thing we need to do is plug in n = 9 and simplify
5(-5)^(n-1)
5(-5)^(9-1)
5(-5)^8
5(390625)
1,953,125 this is one single value (rather than 3 separate values)
