Simplify. 3√-50 Enter your answer, in simplest radical form, in the box.

3. Which expression is equivalent to the expression shown below?

chubhunter [2.5K]

Answer:

option a

Step-by-step explanation:

we have:

7/2x-3(5x-1/2)

apply distributive property we have:

7/2x-3*5x-3*(-1/2)

7/2x-15x+3/2

7/2-15=-23/2

so we have:

-23/2x+3/2

7 0

3 years ago

A chemist whishes to prepare 100 liters of 45% purity of sulphuric acid .He has two kinds of acid solutions in stock ,one is 55%

tester [92]

Answer:

the chemist should use 60 liters of 55% solution and 40 litres of 30% solution in order to prepare 100 liters of 45% purity of sulphuric acid.

Step-by-step explanation:

From the given information,

Let x be the litres of 55% pure solution

Let y be the litres of 30% pure solution

Also;

Given that our total volume of solution is 100 litres

x+y =100 ---- (1)

The total solution of pure by related by the sum of the individual pure concentrations to make up the concentration of final solution.

(0.55)(x)+(0.30)(y) = 0.45(100) ---- (2)

From equation (1)

Let ; y = 100 - x

Replacing the value for y = 100 - x into equation (2)

(0.55)(x)+(0.30)(100-x) = 0.45(100)

0.55x + 30 - 0.30x = 45

0.55x - 0.30x = 45 - 30

0.25x = 15

x = 15/0.25

x = 60 liters of 55% solution

From ; y = 100 - x

y = 100 - 60

y = 40 litres of 30% solution.

Therefore, the chemist should use 60 liters of 55% solution and 40 litres of 30% solution in order to prepare 100 liters of 45% purity of sulphuric acid.

7 0

3 years ago

A manufacturing company has a policy that states managers are paid a salary that is proportional to the number of employees they

user100 [1]

From the problem description, we can construct an algebraic equation for the situation. Let S be the salary and x be the number of employees.

S = kx
where k is the proportionality constant

Using variation,

k = S₁/x₁ = S₂/x₂

Substituting,

34000/12 ? 36000/16
2833.33 ? 2250
Thus,
2833.33 ≠ 2250
<em>It does not follow the company's policy.</em>

7 0

3 years ago

Problem Solving

Aleks [24]

Answer:

A) $\theta=30^\circ+180n^\circ$

Step-by-step explanation:

$tan\theta=4tan\theta-\sqrt{3}\\\\-3tan\theta=-\sqrt{3}\\\\9tan^2\theta=3\\\\tan^2\theta=\frac{3}{9}\\ \\tan^2\theta=\frac{1}{3}\\ \\\frac{1-cos(2\theta)}{1+cos(2\theta)}=\frac{1}{3}\\ \\ 3-3cos(2\theta)=1+cos(2\theta)\\\\2-3cos(2\theta)=cos(2\theta)\\\\2=4cos(2\theta)\\\\\frac{2}{4}=cos(2\theta)\\ \\\frac{1}{2}=cos(2\theta)\\ \\2\theta=60^\circ+360n^\circ\\\\\theta=30^\circ+180n^\circ$