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3 years ago

For which real numbers x and y is it true that x + y = x+y?

Mathematics

1 answer:

Alchen [17]3 years ago

6 0

By the general application of cumulative property of addition :

x + y = y + x

For sure

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onsider the equation 0.5 times e4z =13 solve the equation for z. express the solution as a logarithm in base e

olga_2 [115]

Answer:

$z=\frac{ln(26)}{4}$

Step-by-step explanation:

The given equation is:

$0.5\,e^{4z}=13$

so, we first isolate the exponential form that contains the unknown "z" in the exponent, by dividing both sides by 0.5:

$0.5\,e^{4z}=13\\e^{4z}=\frac{13}{0.5}\\e^{4z}=26$

Now we bring the exponent down by applying the natural log function on both sides, and then solve for "z":

$e^{4z}=26\\ln(e^{4z})=ln(26)\\4\,z=ln(26)\\z=\frac{ln(26)}{4}$

5 0

3 years ago

Please help me thnk you

kramer

For this question, we use the Pythagorean theorem.

$a^2+b^2=c^2$

We know the lengths of the legs, a and b.
$a=3$
$b=4$

Now, let's solve for the hypotenuse, c.

$3^2+4^2=c^2$
$25=c^2$

Take the positive square root.

$\boxed{c=5}$

Hope this helps! :)

8 0

3 years ago

Read 2 more answers

What temperature is 24° warmer than-12 °C?

Lelu [443]

Answer:

12 °C

Step-by-step explanation:

x = -12 + 24
x = 12 °C

12 °C is 24°C warmer than -12°C

5 0

3 years ago

2. Simplify (27) 2/3 x (125) 1/3

nekit [7.7K]

Answer:

750

Step-by-step explanation:

Are / ?

Fraction?

4 0

3 years ago

Read 2 more answers

Which rational number equals 0 point 4 with bar over 4?

Ulleksa [173]

<h3>Answer: 4/9</h3>

==============================================

Work Shown:

$x = 0.\overline{4}\\\\x = 0.4444\ldots\\\\10x = 4.4444\ldots\\\\10x-x = 4.4444\ldots-0.4444\ldots\\\\9x = 4\\\\x = \frac{4}{9}\\\\\frac{4}{9} = 0.\overline{4}= 0.4444\ldots\\\\$

The idea is that when we subtract 10x and x, the infinite decimal pattern (the 4s that go on forever) will cancel. That leads to 9x = 4 which solves to x = 4/9

6 0

3 years ago