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Aleksandr-060686 [28]
3 years ago
15

Simplify and evaluate (6)(2^3)^2 / (2^2)^2

Mathematics
1 answer:
sveticcg [70]3 years ago
5 0

Simplify and evaluate

(6)(2^3)^2 = 384

(2^2)^2 = 16

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How many extraneous solutions does the equation below have? StartFraction 9 Over n squared 1 EndFraction = StartFraction n 3 Ove
BigorU [14]

The equation has one extraneous solution which is n ≈ 2.38450287.

Given that,

The equation;

\dfrac{9}{n^2+1} =\dfrac{n+3}{4}

We have to find,

How many extraneous solutions does the equation?

According to the question,

An extraneous solution is a solution value of the variable in the equations, that is found by solving the given equation algebraically but it is not a solution of the given equation.

To solve the equation cross multiplication process is applied following all the steps given below.

\rm \dfrac{9}{n^2+1} =\dfrac{n+3}{4}\\\\9 (4) = (n+3) (n^2+1)\\\\36 = n(n^2+1) + 3 (n^2+1)\\\\36 = n^3+ n + 3n^2+3\\\\n^3+ n + 3n^2+3 - 36=0\\\\n^3+ 3n^2+n -33=0\\

The roots (zeros) are the  x  values where the graph intersects the x-axis. To find the roots (zeros), replace  y

with  0  and solve for  x. The graph of the equation is attached.

n  ≈  2.38450287

Hence, The equation has one extraneous solution which is n  ≈  2.38450287

For more information refer to the link.

brainly.com/question/15070282

5 0
3 years ago
Evaluate 10m+n/4 wnen m=5 and n=16
solmaris [256]
Hi!

Let's put the values in the equation.

10 · 5 + 16 ÷ 4 = ?

Using PEMDAS...

Multiplication
50 + 16 ÷ 4 = ?

Division
50 + 4 = ?

Addition
54

The answer is 54

Hope this helps! :)
4 0
4 years ago
Read 2 more answers
Choose Yes Or No To Tell if the fraction 4/9 will make each equation True.
BlackZzzverrR [31]

Answer:

true, true, false, true

Step-by-step explanation:

(4/9)*63=28

(4/9)*18=8

(4/9)*96=42.666667

(4/9)*36=16

5 0
3 years ago
Rearrange the formula V = 1 3 πr2h for h. A) h = 3V πr2 B) h = V 3πr2 C) h = 3πr2 V D) h = πr2 3V
stiks02 [169]

Answer:

Option a) h=\frac{3V}{\pi r^{2} }

Step-by-step explanation:

The given formula seems to represent the volume of right circular cone. The correct formula is:

V=\frac{1}{3} \pi r^{2} h

We have to rearrange the formula for h. This means we have to move h on one side of the formula and all the other variables and constants on the other side of the equation. This can be done as shown below:

V=\frac{1}{3} \pi r^{2} h\\\\3V=\pi r^{2} h\\\\h=\frac{3V}{\pi r^{2} }

5 0
4 years ago
PLEASE HELP!!! 50 POINTS AWARDED!!
sladkih [1.3K]

Answer:

answers below

Step-by-step explanation:

1. no

2. yes

3. no

4. yes

5. no

6. yes

7. no

8. no

9. no

10. no

11. no

12. yes

5 0
4 years ago
Read 2 more answers
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