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ivann1987 [24]
3 years ago
5

you are given a prescription for a hundred mL of a 15% hydrochloric acid solution the pharmacy carries 90% Hydrochloric solution

how many mls of the concentration of solutions are needed to fill this prescription
Mathematics
1 answer:
enyata [817]3 years ago
8 0

If q represents the quantity of solution needed, you require

... 0.90q = 0.15×(100 mL)

... q = (0.15/0.90)×(100 mL)

... q ≈ 16.7 mL

_____

You actually need 16 2/3 mL of concentrated solution.

You might be interested in
Given that tan θ ≈ −0.087, where 3 2 π < θ < 2 , π find the values of sin θ and cos θ.
elena-s [515]

Answer:

  • sin θ ≈ -0.08667
  • cos θ ≈ 0.99624

Step-by-step explanation:

Straightforward use of the inverse tangent function of a calculator will tell you θ ≈ -0.08678 radians. This is an angle in the 4th quadrant, where your restriction on θ places it. (To comply with the restriction, you would need to consider the angle value to be 2π-0.08678 radians. The trig values for this angle are the same as the trig values for -0.08678 radians.)

Likewise, straightforward use of the calculator to find the other function values gives ...

  sin(-0.08678 radians) ≈ -0.08667

  cos(-0.08678 radians) ≈ 0.99624

_____

<em>Note on inverse tangent</em>

Depending on the mode setting of your calculator, the arctan or tan⁻¹ function may give you a value in degrees, not radians. That doesn't matter for this problem. sin(arctan(-0.087)) is the same whether the angle is degrees or radians, as long as you don't change the mode in the middle of the computation.

We have shown radians in the above answer because the restriction on the angle is written in terms of radians.

_____

<em>Alternate solution</em>

The relationship between tan and sin and cos in the 4th quadrant is ...

  \cos{\theta}=\dfrac{1}{\sqrt{1+\tan^2{\theta}}}\\\\\sin{\theta}=\dfrac{\tan{\theta}}{\sqrt{1+\tan^2{\theta}}}

That is, the cosine is positive, and the sign of the sine matches that of the tangent.

This more complicated computation gives the same result as above.

4 0
3 years ago
The graph below shows a quadratic function f(x) and an absolute value function g(x)
Katen [24]

Answer:

I believe it should be b and d

Step-by-step explanation:

hoped it helped :)

8 0
3 years ago
The ratio of boys to girls in a classroom is 2:6. If there are 40 students in the classroom, how many of them are girls.
Vera_Pavlovna [14]

Answer:

120

Step-by-step explanation:

Boys will be the'2' of this ratio

e we know that 2x3 = 6

so, 40 x 3 will give us the number of girls

8 0
2 years ago
Read 2 more answers
A) {y=2x
sladkih [1.3K]

We can see that

both lines intersects at origin

so, the solution is x=0 and y=0

now, we will check each options

option-A:

y=2x

y=-4x

now, we can set them equal

and then we can solve for x

-4x=2x

6x=0

x=0

now, we can find y

y=2*0

y=0

so, solution is x=0 and y=0

so, this correct...........Answer


5 0
3 years ago
PLEASE HELP ANSWER 4 AND 5.
kumpel [21]

4) The ratio of lemons to cups of sugar = 2/3 or 2:3

5) The ratio of cups of sugar to cups of water = 3/14 or 3:14

Hope that helps

8 0
3 years ago
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