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2 years ago

Write an exponential function for the chart below:

Mathematics

1 answer:

agasfer [191]2 years ago

8 0

51 * 2^x

51 * 2^0 = 51 * 1 = 51

51 * 2^1 = 51 * 2 = 102

51 * 2^2 = 51 * 5 = 204

...

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Which exponential equation is equivalent to the logarithmic equation below? <br><br> 4= ln x

ra1l [238]

The exponential function equivalent to 4=ln x will be evaluated as follows:
from
4=ln x
introducing the exponential function
e^4=e^(lnx)
but
e^(lnx)=x
thus
e^4=x
answer:
e^4=x

5 0

3 years ago

One more question on this test guys. please answer as fast as possible. If you do,

GaryK [48]

1. The given rectangular equation is $x=2$ .

We substitute $x=r\cos \theta$ .

$r\cos \theta=2$

Divide through by $\cos \theta$

$r=\frac{2}{\cos \theta}$

$r=2}\sec \theta$

$\boxed{x=2\to r=2\sec \theta}$

2. The given rectangular equation is:

$x^2+y^2=36$

This is the same as:

$x^2+y^2=6^2$

We use the relation $r^2=x^2+y^2$

This implies that:

$r^2=6^2$

$\therefore r=6$

$\boxed{x^2+y^2=36\to r=6}$

3. The given rectangular equation is:

$x^2+y^2=2y$

This is the same as:

We use the relation $r^2=x^2+y^2$ and $y=r\sin \theta$

This implies that:

$r^2=2r\sin \theta$

Divide through by r

$r=2\sin \theta$

$\boxed{x^2+y^2=2y\to r=2\sin \theta}$

4. We have $x=\sqrt{3}y$

We substitute $y=r\sin \theta$ and $x=r\cos \theta$

$r\cos \theta=r\sin \theta\sqrt{3}$

This implies that;

$\tan \theta=\frac{\sqrt{3}}{3}$

$\theta=\frac{\pi}{6}$

$\boxed{x=\sqrt{3}y\to \theta=\frac{\pi}{6}}$

5. We have $x=y$

We substitute $y=r\sin \theta$ and $x=r\cos \theta$

$r\cos \theta=r\sin \theta$

This implies that;

$\tan \theta=1$

$\theta=\frac{\pi}{4}$

$\boxed{x=y\to \theta=\frac{\pi}{4}}$

6 0

3 years ago

Which equation illustrates the Multiplicative Inverse Property? A. 0 • 16 = 0 B. 1(48) = 48 C. 3 • (1/3) = 1 D. 9(1 + 0) = 9(1)

Talja [164]

Answer:

it's letter DDDDDDDDD

4 0

3 years ago

The sum of x and 10 is less than -6

goldenfox [79]

Try breaking these into sections.

Twice: 2 times

The sum of: add

A number: choose a variable, like x

---Thus "the sum of a number and 4" becomes "add x and 4" which, mathematically, is "x+4"

-----Continuing to put it all together, "Twice the sum of a number and four" becomes "2 times (x+4)" which, mathematically, is "2(x+4)"

Is: equals

-------"Twice the sum of a number and four is" becomes "2(x+4)="

23 less than: subtract 23. This one tends to trick people; "23 less than" will become "__ - 23", NOT "23 - __"

three times the number: 3 times x

---"23 less than three times the number" becomes "subtract 23 from 3 times x" which, mathematically, is "3x-23"

-------So the final phrase: 2(x+4)=3x-23"

6 0

2 years ago

consider that angle DEF is similar to angle GHI and the measure of angle E is 58 degrees. What is the measure of angle H?

daser333 [38]

Answer:

I am not sure but, since they are in the same place when writing it out, it should be the same.

Step-by-step explanation:

3 0

2 years ago

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