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melomori [17]
3 years ago
15

Need help with these 3 questions please explain how you do It. Thx!

Mathematics
1 answer:
Ilya [14]3 years ago
4 0
1. Observe that the f(t) is change by 4 per time t => there's a acceleration of 4 => f''(t) = 4;  Take the derivative of it we can get a velocity function. f'(t) = 4t + c. Since the velocity from 100 to 80 is -20 (average), this means at t = 0, f'(0) = -22 => f'(t) = 4t - 22; Take the derivative again to get the position function: f(t) = 2t^2 - 22t + d, here d = 100 should be trivial. So, the function that models the relationship is    f(t) = 2t^2 - 22t + 100.

2. By the compound interest formula:
    A = P (1 + r/n)^(nt) , since it's yearly, so n = 1;
    results A(t) = 100 (1+0.12)^t.

3. The average rate of change is basically finding the slope, m = y1 - y2 / x1 - x2.
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Three stamps can be attached to each other in various ways.how many ways might three stamps be attached?
ivanzaharov [21]
Let's call the stamps A, B, and C. They can each be used only once. I assume all 3 must be used in each possible arrangement.
There are two ways to solve this. We can list each possible arrangement of stamps, or we can plug in the numbers to a formula. 
Let's find all possible arrangements first. We can easily start spouting out possible arrangements of the 3 stamps, but to make sure we find them all, let's go in alphabetical order. First, let's look at the arrangements that start with A:
ABC
ACB
There are no other ways to arrange 3 stamps with the first stamp being A. Let's look at the ways to arrange them starting with B:
BAC
BCA
Try finding the arrangements that start with C:
C_ _
C_ _
Or we can try a little formula; y×(y-1)×(y-2)×(y-3)...until the (y-x) = 1 where y=the number of items.
In this case there are 3 stamps, so y=3, and the formula looks like this: 3×(3-1)×(3-2).
Confused? Let me explain why it works.
There are 3 possibilities for the first stamp: A, B, or C. 
There are 2 possibilities for the second space: The two stamps that are not in the first space.
There is 1 possibility for the third space: the stamp not used in the first or second space. 
So the number of possibilities, in this case, is 3×2×1.
We can see that the number of ways that 3 stamps can be attached is the same regardless of method used.


8 0
3 years ago
A coupon subtracts $17.95 from the price p of a pair of headphones. You pay $71.80 for the headphones after using the coupon. Wr
Volgvan
$264.75 I like math it took 15 minutes but I got it
7 0
3 years ago
Read 2 more answers
Solve the following. 5/8 divided by 2 <br><br> O 15/6<br> O 5/16<br> O 1 1/5<br> O 5/6
lesantik [10]

Answer:

The correct answer is, B.

\frac{5}{16}

3 0
2 years ago
Need help understanding this please
castortr0y [4]

Answer:

G

Step-by-step explanation:

6 0
3 years ago
Given: A = {(2, 3), (5, 1), (-3, -2), (0, 3)} What is the range of A?
Mama L [17]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{ - 2 \:  ,  \: 1 \:  ,  \: 3 \: }}}}}

Step-by-step explanation:

Given,

A = { ( 2 , 3 ) , ( 5 , 1 ) , ( -3 , -2 ) , ( 0 , 3 )

To find : Range

Range are set of all y - co-odinates.

So, Range = { - 2 , 1 , 3 }

Hope I helped!

Best regards!!

7 0
2 years ago
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