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3 years ago

4 + x more than -12 Please help ;-;

Mathematics

2 answers:

NNADVOKAT [17]3 years ago

7 0

Answer:

It's 0,

Step-by-step explanation:

Why because 12 is less then if your were going to create a line and 0 is going to be in the middle, that shows in that case 12 is going to be on the left side of the 0 because 12 is a positive number and 0 is not.

alukav5142 [94]3 years ago

3 0

Answer:

any number more than 0 including 0

Step-by-step explanation:

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Find the solution to the differential equation dz/dt = 7te^4z that passes through the origin.

andreev551 [17]

Answer:

$z=(\frac{-1}{4} )ln|1-14t^{2}|\\$

Step-by-step explanation:

from the equation, $\frac{dz}{dt}=7te^{4z}\\$ .

we can give different approach to the equation, but to make it simple and direct, let separate the equation by bringing all like terms to the same side i.e

$\frac{dz}{e^{4z}}=7tdt\\e^{-4z} dz=7tdt$ .

if we integrate both side,

$\int\limits^a_b{e^{-4z} } \,dz =\int\limits^a_b {7t} \,dt$

$-1/4e^{-4z} +c_{1}=7/2t^{2} +c_{2}\\-1/4e^{-4z}= 7/2t^{2} +c_{2}-c_{1}\\let c_{2}-c_{1}=c \\-1/4e^{-4z}= 7/2t^{2} +c$

since the equation passes through the origin, and at the origin z=0 and t=0

we substitute this values and solve for the constant c

$e^{-4*0}= 7/2*0 +c\\c=1$ .

If we substitute the value of c into the equation we arrive at

$(-1/4)e^{-4z}= (7/2)t^{2}+1\\ e^{-4z}=1-14t^{2} \\$

if we the the natural logarithm of both sides, we arrive at

$-4z=ln|1-14t^{2}|\\z=(\frac{-1}{4} )ln|1-14t^{2}|\\$

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3 years ago

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Answer:

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3 years ago

I need help with 21 please. Thank you

Margarita [4]

1) Let, the number of movies = m
It would be: 40 + 2n = 100

2) solving the equation:
40 + 2n = 100
2n = 100 - 40
n = 60/2
n = 30

In short, Your Answer would be 30

Hope this helps!

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Step-by-step explanation:

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