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Licemer1 [7]
3 years ago
10

A sample of Chlorine gas has a volume of 20 L and a pressure of 4 atm. What will the

Mathematics
2 answers:
sertanlavr [38]3 years ago
4 0
Hi my name is bsjxmx s c
F
D
E
Karo-lina-s [1.5K]3 years ago
3 0

Step-by-step explanation:

from \: boyle 's \: law \\ P _{1}V _{1} = P _{2} V _{2} \\ (4 \times 20) = (P _{2} \times 5) \\ P _{2} =  \frac{(4 \times 20)}{5}  \\ P _{2} = 16 \: atm

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To solve the equation 5sin(2x)=3cosx, you should rewrite it as___.​
galina1969 [7]

Answer:

A

Step-by-step explanation:

We want to solve the equation:

5\sin(2x)=3\cos(x)

To do so, we can rewrite the equation.

Recall the double-angle for sine:

\sin(2x)=2\sin(x)\cos(x)

By substitution:

5\left(2\sin(x)\cos(x)\right)=3\cos(x)

Distribute:

10\sin(x)\cos(x)=3\cos(x)

We can subtract 3cos(x) from both sides:

10\sin(x)\cos(x)-3\cos(x)=0

And factor:

\cos(x)\left(10\sin(x)-3\right)=0

Hence, our answer is A.

*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.

5 0
3 years ago
Read 2 more answers
What is the measure of ∠x?
Archy [21]

Answer:

114 degrees

Step-by-step explanation:

Hi there.

Line segment LN is a straight line, meaning that it contains a straight angle (an angle measuring 180 degrees).

We know that if this is a straight angle, that x+66=180.

Therefore, m∠x = 114 degrees.

Hope this helps! :^)

5 0
3 years ago
Consider the polynomial f(x) = 5x4+ 3x2+ x + 19. How many complex solutions does the polynomial have?
antiseptic1488 [7]

Answer:

  1. there are 4 complex solutions
  2. 3 real zeros and 2 complex zeros

Step-by-step explanation:

1. Descarte's rule of signs tells you there are 0 positive real roots and 0 or 2 negative real roots. (for positive x, signs are ++++ so have no changes; for negative x, signs are ++-+, so have 2 changes.) A graph shows no real roots.

2. There are 3 sign changes in the given polynomial, so 3 or 1 positive real roots. When the sign of x is changed, there are 2 sign changes, so 0 or 2 negative real roots. A graph shows 2 negative and one positive real root (for a total of 3), so the remaining 2 roots are complex.

5 0
3 years ago
I need help in solving this problem (ASAP)
zhannawk [14.2K]

Answer:

The answer is y=24

Step-by-step explanation:

The <u>triangle is a 30-60-90 triangle</u>, which means that the it follows the <em>respective ratio of x:x</em>\sqrt{3}<em>:2x. </em>Since we know that the 30 degree value is 8\sqrt{3}, we can establish that the 60 degree value is 8\sqrt{3}*\sqrt{3} = 24.

4 0
3 years ago
Rearrange the formula to make x the subject:<br> A = 1/2xy
Maslowich

Answer:

x = \frac{2A}{y}

Step-by-step explanation:

Given

A = \frac{1}{2} xy

Multiply both sides by 2 to clear the fraction

2A = xy ( divide both sides by y )

\frac{2A}{y} = x

3 0
4 years ago
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