All categories

2 years ago

What is the error in the equation

Mathematics

1 answer:

dimulka [17.4K]2 years ago

4 0

Answer:

The fifth line contains the error.

Step-by-step explanation:

Line 1 is the equation.

Lines 2, 3, and 4 are correct.

The error is in the 5th line.

The square root of a negative number is not a real number, so if this problem is solved only with real numbers, there is no solution.

If imaginary numbers are allowed, then the last line should read:

$x = \pm\dfrac{i\sqrt{11}}{2}$

You might be interested in

Calculate the circumference. round to the nearest hundredth. 16 inches

goldenfox [79]

Given the radius is, r = 16 in,

The expression for the circumference of a circle is,

$C=2\pi r$

Therefore, we have,

$C=2\times3.14\times16\text{ in = }100.48\text{ in}$

Thus, the circumference of the circle is 100.48 in.

6 0

1 year ago

Which correctly describes how the graph of the inequality 6y − 3x > 9 is shaded? A. Above the solid line B. Below the solid l

RUDIKE [14]

C. Above the dashed line.

It becomes:
y > 1/2x +3/2

(Dashed, shaded above)

4 0

3 years ago

Read 2 more answers

Dr. Caras was characterizing a cytochrome (an iron containing protein) from a new strain of bacteria. He obtained the following

olya-2409 [2.1K]

Answer:

0.5613

Step-by-step explanation:

Here mean strain of bacteria x = sum of all numbers/ total numbers = 0.5514 %

Standard deviation s = 0.0040 %

Test statistic

G = (x_{max} -x)/s = (0.5613 - 0.5514)/ 0.0040 = 2.475

95% confidence value for outlier for n = 8 and alpha = 0.05

G_{critical} = 2.1266

so here we see that G > G_critical , so we reject that the there is no outlier . the value of 0.5613 is and outlier.

7 0

3 years ago

What is the arc length of an arc with radius 15 inches and central angle 30 degrees

RUDIKE [14]

Answer:

7.855 inches

Step-by-step explanation:

The formula to find the length of an arc is :

Arc Length = $\frac{\theta}{360}$ × 2 π r

Here,

Θ ⇒ size of the angle ⇒ 30°

r ⇒ radius ⇒ 15 inches

<u>Let us solve it now.</u>

Arc length = $\frac{\theta}{360}$ × 2 π r

Arc length = $\frac{30}{360}*2*\pi*15$

Arc length = $\frac{30*2*\pi*15}{360}$

Arc length = $\frac{2827.8}{360}$

Arc length = 7.855 inches

Let me know if you have any other questions. :)

7 0

2 years ago

In a zoo there are 17 more monkeys than lions and 30 more lizards than lions. If there were 151 monkeys, lions and lizards in to

kvv77 [185]

If the amount of monkeys is m, lions is a, and lizards is b, then a+b+m=151, 17+a=m (since there are 17 more monkeys than lions), and 30+a=b. Substituting those values in (17+a=m and 30+a=b), we have 30+17+a+a+a=151=47+3a. Subtracting 47 from both sides, we get 104=3a. Next, we can divide both sides by 3 to get 104/3=a (the number of lions), 104/3+17=the number of monkeys, and 104/3+30=the number of lizards. Somehow we end up with a fraction (not a whole number), so there are 2/3rds of monkeys floating around using this logic.

8 0

3 years ago