MATHEMATICS HIGH SCHOOL

4 If // : = 4 × 1/1/1 5 5 12 . then 5 x 75

Answers

Answer 1

Answer:

Answer:

375

Step-by-step explanation:

Multiply

75 by 5 375x

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If 4i(-3-yi)+7=27-12i,what is the value of y

Answers

$4i(-3-yi)+7=27-12i\n -12i+4y+7=27-12i\n 4y=20\n y=5$

Let f(x)=x^2 - 16. find f^-1(x).

Answers

$f(x)=x^2-16\n\ny=x^2-16\n\nx^2=y+16\n\nx=√(y+16)\n\nf^(-1)(x)=√(x+16)$

A quadratic function doesn't have inverse function. But you can find inverse function for each of its "arms".

$f(x)=x^2-16 \Rightarrow x_(vertex)=0\n y=x^2-16\n x^2=y+16\n x=-√(y+16) \vee x=√(y+16)\n f^(-1)(x)=-√(x+16) \hbox{ for } x<0\hbox{ (left arm)}\n f^(-1)(x)=√(x+16) \hbox{ for } x>0\hbox{ (right arm)}$

Lauren’s age can be represented by the expression 10m2. Kristen’s age can be represented by the expression 2m5.What is the ratio of Lauren’s age to Kristen’s age?

Answers

The ratio of Lauren's Age to Kristen's Age = $\rm5:m^3$

Ratio of two numbers is a quantitative relationship between two numbers showing that how one number is increasing or decreasing with respect to other number.

If a and b are two numbers then the their ratio r is represented by the equation (1)

$r = a:b......(1)$

Lauren' s Age = $10m^2$

Kristien's Age = $2m^5$

For Finding out the ratio of two numbers we simply divide them.

Let x be the ratio of Lauren's age to Kristen's age, = x = $\rm10m^2$ / $\rm2m^5$ .....(2)

On simplifying equation (2) we get

x = $\rm5/m^3$

So the ratio of Lauren's Age to Kristen's Age = $\rm5:m^3$

For more information please refer to the link below

brainly.com/question/21379025

Given:
Lauren's age = $10 m^(2)$
Kristen's age = $2 m^(5)$

ratio of Lauren's age to Kristen's age = $(10 m^(2) )/(2 m^(5) )$

= $(2 * 5* m^(2) )/(2* m^(5) )$

= $(5 )/( m^(5-2) )$

= $(5 )/( m^(3) )$

So, the ratio is 5 : m³

Which of the following is a solution of z^5 = 1 + √3 i? 5√2 (cos150° + isin150°)
5√2 (cos156° + isin156°)
5√2 (cos174° + isin174°)
5√2 (cos204° + isin204°)

Please show me how to work it out.

Answers

Answer:

Option 2 is right

Step-by-step explanation:

Given that

$z^5=1+√(3) i$

We can write this in polar form with modulus and radius

$|z^5|= √(1+3) =2\ntan of Angle t =√(3) \n$

Hence angle = 60 degrees and

$|z^5|= 2(cos60+isin60)$

Since we have got 5 roots for z, we can write 60, 420, 780, etc. with periods of 360

Using Demoivre theorem we get 5th root would be

5th root of 2 multiplied by 1/5 th of 60, 420, 780,....

$z= \sqrt[5]{2} (cos12+isin12)\nz=\sqrt[5]{2} (cos84+isin84)\n\nz=\sqrt[5]{2} (cos156+isin156)\n\nz=\sqrt[5]{2} (cos228+isin228)\n\nz=\sqrt[5]{2} (cos300+isin300)\n$

Out of these only 2nd option suits our answer

Hence answer is Option 2.

Simplify 4 times the 4th root of 48.

Answers

For the answer to the question above asking to Simplify 4 times the 4th root of 48.
√48
=√16*3
=√2^4*3
=2√3
=2 times the 4th root of 3

I hope my answer helped you with your problem. Have a nice day! Feel free to ask more questions.

Simplify 7N - 2N + 3P +2P