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3 years ago

What does -2 raised by 10 equal to?

Mathematics

2 answers:

Rom4ik [11]3 years ago

7 0

I think "raised by ten" is trying to say add 10. So for this you would write an expression based on the information provided.

-2 + 10 = ?

A simple way to solve this problem would be to switch the numbers. Now this only applies to this situation where the negative number is before the positive number.

10 + (-2) = ?

Now you will just take out the addition signs and keep the minus.

10 - 2 = 8

You can also check on a number line:

slamgirl [31]3 years ago

6 0

The problem would equal 8

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2 years ago

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Find the solution of the differential equation dy/dt = ky, k a constant, that satisfies the given conditions. y(0) = 50, y(5) =

irga5000 [103]

Answer: The required solution is $y=50e^{0.1386t}.$

Step-by-step explanation:

We are given to solve the following differential equation :

$\dfrac{dy}{dt}=ky~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

where k is a constant and the equation satisfies the conditions y(0) = 50, y(5) = 100.

From equation (i), we have

$\dfrac{dy}{y}=kdt.$

Integrating both sides, we get

$\int\dfrac{dy}{y}=\int kdt\\\\\Rightarrow \log y=kt+c~~~~~~[\textup{c is a constant of integration}]\\\\\Rightarrow y=e^{kt+c}\\\\\Rightarrow y=ae^{kt}~~~~[\textup{where }a=e^c\textup{ is another constant}]$

Also, the conditions are

$y(0)=50\\\\\Rightarrow ae^0=50\\\\\Rightarrow a=50$

and

$y(5)=100\\\\\Rightarrow 50e^{5k}=100\\\\\Rightarrow e^{5k}=2\\\\\Rightarrow 5k=\log_e2\\\\\Rightarrow 5k=0.6931\\\\\Rightarrow k=0.1386.$

Thus, the required solution is $y=50e^{0.1386t}.$

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3 years ago

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plot the reflection of point A across the x-axis. what are the coordinates of the reflection of point A across the x-axis? what

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You reflect point A over the x-axis, double the distance from point a to the x-axis, then give the coordinates.

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3 years ago

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emmasim [6.3K]

Answer:

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Step-by-step explanation:

Using ratios (essentially fractions):

1 US : 75 JA

1 US = 75 JA

Dividing both sides by 75 gives us:

$\frac{1}{75}$ US = 1 JA

So if we have 3300 JA we can multiply both sides to get:

44 US = 3300 JA

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3 years ago