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maks197457 [2]
3 years ago
13

What value of x will make the question below truw?

Mathematics
1 answer:
MatroZZZ [7]3 years ago
7 0
1/2 (6x - 10) + 10 = 5x - 13

(6x/2) - (10/2) + 10 = 5x - 13

3x - 5 + 10 = 5x - 13

3x - 5x = -13 + 5 - 10

-2x = -18

x = -18 / -2

x = 9

D.) x = 9

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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
Looking for some furniture for her new apartment, Susan visits the local swap meet in search of something cheap. Knowing that mo
Lady_Fox [76]

The amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.

<h3>How to find the percentage from the total value?</h3>

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\dfrac{a}{100} \times b

For this case, we're given that:

  • Amonut Susan took out = $200
  • Interest rate = 32% annually (interest rates are usually expressed in annual (yearly) terms).
  • Amount paid off within 1 month

The interest was 32% annually, so in monthly terms, it would be 32/12 = 2.667% approx. (as there are 12 months in each year)

Since the balance was paid within one month, the interest would be simply 1 time calculated on the main balance.

Thus, we get:
Interest amount ≈ 2.667% of $200 = \dfrac{200}{100} \times 2.667 = 5.334 \approx 5.33 \: \rm (in \: dollars)

Thus, the amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.

Learn more about percent here:

brainly.com/question/11549320

8 0
2 years ago
PLEASE HELP SOMEONE!!!
evablogger [386]

Answer:

y = -2x

Step-by-step explanation:

For direct variation:  y = kx, where k is the constant of proportionality.

Given that Y equals -12 when x equals 6, we have -12 = k(6).  Solve this for k by dividing both sides by 6:

k = -12/6 => k = -2

Then the "direct variation equation" here is y = -2x.

3 0
3 years ago
63.625 rounded to the nearest tenth
Ket [755]

Answer:

63.6

Step-by-step explanation:

63.625

63.6

7 0
3 years ago
Read 2 more answers
What common angle do ACE and ACD share?
SCORPION-xisa [38]
The answer is the second option, <ACE = <ECA.

This is because C is in the middle of both, so it's referring to the same angle. The other options are all comparing different angles, that aren't congruent, so they're incorrect.
6 0
4 years ago
Read 2 more answers
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