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3 years ago

Square root of 7 plus 5i divided by square root of 5 plus 2i

Mathematics

1 answer:

In-s [12.5K]3 years ago

3 0

it is 2.981580515 are you a boy or not

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For the equation ae^ct=d, solve for the variable t in terms of a,c, and d. Express your answer in terms of the natural logarithm

saveliy_v [14]

We have been given an equation $ae^{ct}=d$ . We are asked to solve the equation for t.

First of all, we will divide both sides of equation by a.

$\frac{ae^{ct}}{a}=\frac{d}{a}$

$e^{ct}=\frac{d}{a}$

Now we will take natural log on both sides.

$\text{ln}(e^{ct})=\text{ln}(\frac{d}{a})$

Using natural log property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$ct\cdot \text{ln}(e)=\text{ln}(\frac{d}{a})$

We know that $\text{ln}(e)=1$ , so we will get:

$ct\cdot 1=\text{ln}(\frac{d}{a})$

$ct=\text{ln}(\frac{d}{a})$

Now we will divide both sides by c as:

$\frac{ct}{c}=\frac{\text{ln}(\frac{d}{a})}{c}$

$t=\frac{\text{ln}(\frac{d}{a})}{c}$

Therefore, our solution would be $t=\frac{\text{ln}(\frac{d}{a})}{c}$ .

5 0

3 years ago

Which of the following is most likely the next step in the series? Choices: 10A, 21b, 32C, 43d, 54E, 65f. . A.66g. B.76g. C.76G.

Katena32 [7]

First, we pay attention to the numerical coefficients of the terms in the series: 10, 21, 32, 43, 54, 65. Conclusively they form an arithmetic sequence with a common difference of 11. Thus, the next numerical coefficient is 76. Then, we pay attention to the letters which are just arrange alphabetically. The next letter ought to be G which needs to be capitalized. Thus, the answer is letter C. 76G.

3 0

2 years ago

How much water did all the students drink on Wednesday? Explain how you figured it out. Make sure to use complete sentences and

Nady [450]

Answer:

6.58 I could be wrong but that's pretty much it is it all students together in total?

Step-by-step explanation:

just add 1.94+0.97+1.8+1.87=6.58

7 0

3 years ago

Express in exponential form log(2)16 = 4

S_A_V [24]

$\bf \textit{exponential form of a logarithm}
\\\\
log_a b=y \implies a^y= b\qquad\qquad 
% exponential notation 2nd form
a^y= b\implies log_a b=y \\\\
-------------------------------\\\\
log_2(16)=4\qquad \qquad \implies \qquad 2^4=16$

8 0

3 years ago

Find the value of x in the triangle shown below<br><br>HELP ASAP!!!!!

tiny-mole [99]

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ Since this is an isoceles triangle, you can figure it out easily.

We know that the sum of the angles is 180 degrees.

180-56=124

124/2=62

X=62

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

5 0

2 years ago