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Strike441 [17]
3 years ago
11

Darryl went to the mall and purchased a brand new watch. The retail price of his watch was $65.49. If the

Mathematics
1 answer:
Serjik [45]3 years ago
3 0

Answer:

5.24 is the tax that he will pay on 65.49

Step-by-step explanation:

65.49 x 8%= 5.24

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Newton’s law of cooling states that dx/dt= −k(x − A) where x is the temperature, t is time, A is the ambient temperature, and k
Vadim26 [7]

Answer:

(a) The solution to the differential equation is x = A_0Coswt + Ce^(-kx)

(b) The initial condition t > 0 will not make much of a difference.

Step-by-step explanation:

Given the differential equation

dx/dt= −k(x − A); t > 0, A = A_0Coswt

(a) To solve the differential equation, first separate the variables.

dx/(x - A) = -kdt

Integrating both sides, we have

ln(x - A) = -kt + c

x - A = Ce^(-kt) (Where C = ce^(-kt))

x = A + Ce^(-kx)

Now, we put A = A_0Coswt

x = A_0Coswt + Ce^(-kx) (Where C is constant.)

And we have the solution.

(b) Since temperature t ≠ 0, the initial condition t > 0 will not make much of a difference because, Cos(wt) = Cos(-wt).

It is not any different from when t < 0.

7 0
3 years ago
Get 20 points, Plz help me with this question, and give the right answer cause it's important
Aliun [14]

Answer:

B, C, and D

Step-by-step explanation:

Just some simple maths, look at it like railroad tracks and act it out as such, with lines a and b being parallel. Angle 6 is 75, Angle 1 is 105

5 0
3 years ago
9 + 22 = x + 1<br><br> HALPP
rosijanka [135]

Hey!

-------------------------------------------------

Solution:

9 + 22 = x + 1

9 + 22 - x = x + 1 - x

31 - x = 1

31 - x  31 = 31 - 1

x = 30

-------------------------------------------------

Answer:

x = 30

-------------------------------------------------

Hope This Helped! Good Luck!

4 0
3 years ago
Read 2 more answers
At Tanika's school, 3 people are chosen in the first round. Each of those people chooses 3 people in the second round, and so on
notka56 [123]
96 people. With every round, the number of people doubles. 3 turns into 6, which turns into 12, which turns into 24, which turns into 48, which turns into 96. The process is repeated only 5 times, but keep in mind when 3 people are chosen, it ends the first round. Hope this helps!!!

-Anonymous

7 0
3 years ago
Read 2 more answers
Given one zero of the polynomial function, find the other zeros.
BlackZzzverrR [31]

Answer:

Step-by-step explanation:

You need to use synthetic division to do all of these.  The thing to remember with these is that when you start off with a certain degree polyomial, what you get on the bottom line after the division is called the depressed polynomial (NOT because it has to math all summer!) because it is a degree lesser than what you started.

a.  3I   1   3   -34   48

I'm going to do this one in its entirety so you get the idea of how to do it, then you'll be able to do it on your own.

First step is to bring down the first number after the bold line, 1.

3I   1    3    -34    48

   _____________

      1

then multiply it by the 3 and put it up under the 3.  Add those together:

3I    1    3    -34    48

           3

----------------------------

      1     6

Now I'm going to multiply the 6 by the 3 after the bold line and add:

3I    1     3     -34     48                                                                                                    

             3      18

_________________

      1      6     -16

Same process, I'm going to multiply the -16 by the 3 after the bold line and add:

3I      1      3      -34      48

                3       18     -48

___________________

        1       6      -16       0

That last zero tells me that x-3 is a factor of that polynomial, AND that the depressed polynomial is one degree lesser and those numbers there under that line represent the leading coefficients of the depressed polynomial:

x^2+6x-16=0

Factoring that depressed polynomial will give you the remaining zeros.  Because this was originally a third degree polynomial, there are 3 zeros as solutions.  Factoring that depressed polynomial gives you the remaining zeros of x = -8 and x = 2

I am assuming that since you are doing synthetic division that you have already learned the quadratic formula.  You could use that or just "regular" factoring would do the trick on all of them.

Do the remaining problems like that one; all of them come out to a 0 as the last "number" under the line.

You got this!        

4 0
3 years ago
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