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miv72 [106K]
3 years ago
14

4/5 m, if m = 10 HURRY!!

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
7 0

Answer:

8

Step-by-step explanation:

multiply 4/5 by 10

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As part of a screening process, computer chips must be operated in an oven at 145 °C. Ten minutes after starting, the temperatur
Novosadov [1.4K]

Answer:

Step-by-step explanation:

I solved this using initial conditions and calculus, so I hope that's what you are doing in math.  It's actually NOT calculus, just a concept that is taught in calculus.

The initial condition formula we need is

y=Ce^{kt}

Filling in our formula with the 2 conditions we are given:

65=Ce^{10k}   and   85=Ce^{15k}

With those 2 equations, we have 2 unknowns, the C (initial value) and the k (the constant). We know that the initial value (or starting temp) for both conditions is the same, so we solve for C in one equation, sub it into the other equation and solve for k.  If

65=Ce^{10k} then

\frac{65}{e^{10k}}=C which, by exponential rules is the same as

C=65e^{-10k}

Since that value of C is the same as the value of C in the other equation, we sub it in:

85=65e^{-10k}(e^{15k})

Divide both sides by 65 and use the rules of exponents again to get

\frac{85}{65}=e^{-10k+15k} which simplifies down to

\frac{85}{65}=e^{5k}

Take the natural log of both sides to get

ln(\frac{85}{65})=5k

Do the log thing on your calculator to get

.2682639866 = 5k and divide both sides by 5 to find k:

k = .0536527973

Now that we have k, we sub THAT value in to one of the original equations to find C:

65=Ce^{10(.0536527973)}

which simplifies down to

65=Ce^{.536527973}

Raise e to that power on your calculator to get

65 = C(1.710059171) and divide to solve for C:

C = 38.01038064

Now sub in k and C to the final problem when t = 23:

y=38.01038064e^{(.0536527973)(23)} which simplifies a bit to

y=38.01038064e^{1.234014338}

Raise e to that power on your calculator to get

y = 38.01038064(3.434991111) and

finally, the temp at 23 minutes is

130.565

6 0
3 years ago
What is the third side of the triangle when the other two is 7 and 4
Diano4ka-milaya [45]

Answer:

sqrt. 65

Step-by-step explanation:

assuming that it is a right angle

7^2 + 4^2 = c^2

c=sqrt. 65

8 0
3 years ago
Read 2 more answers
80 points!!!!
Dvinal [7]

Answer:

nty

Step-by-step explanation:

3 0
2 years ago
How to solve this problem
lozanna [386]

Answer:

<em>x = 2</em>

Step-by-step explanation:

We are given the equation 3 - 4x - 2 = 2x - 11;

3 - 4x - 2 = 2x - 11,\\3 - 2 = 6x - 11,\\1 = 6x - 11,\\12 = 6x,\\\\x = 2\\Conclusion, x = 2

If you want this explanation in a " statement reasoning " format refer to the attachment below;

8 0
3 years ago
The sum of two numbers is -17. Their difference is 41. Find the numbers
Alex787 [66]

Answer:

x = 12

y = -29

Step-by-step explanation:

Our given equations: x + y = -17 and x - y = 41

Solve for x and substitute.

x = -17 - y

(-17 - y) - y = 41

-17 - 2y = 41

2y = -58

y = -29

Solve for x using y

x + (-29) = -17

x = 12

3 0
2 years ago
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