32 + 12 275 +7) 25 + 10 418 + 3) 6+9 505 +2) 10 + 14 3(2+3)

Two solutions of differently concentrations of acid are mixed creating 40 mL of a soul union that is 32% acid one-quarter of the

AleksAgata [21]

Answer: Three quarters (30 ml) is made up of a 36% acid solution.

Step-by-step explanation:

Since we have given that

Total amount of solution = 40 ml

One- quarter of the solution is given by

$\frac{1}{4}\times 40\ ml\\\\=10\ ml$

Three-quarter of the solution is given by

$\frac{3}{4}\times 40\\\\=30\ ml$

According to question, we have

10 ml of solution is made up of = 20% of acid solution

30 ml of solution is made up of = say 'c ' of acid solution

40 ml of solution is made up of = 32 % of acid solution

So, our equation becomes,

$10\times 0.2+30\times c=40\times 0.32\\\\2+30c=12.8\\\\30c=12.8-2\\\\30c=10.8\\\\c=\frac{10.8}{30}\\\\c=0.36\\\\c=36\%$

Hence, three quarters (30 ml) is made up of a 36% acid solution.

5 0

3 years ago

Determine the longest interval in which the given initialvalue problemis certainto have a unique twicedifferentiable solution. D

AlekseyPX

Answer:

t_o = 3, so solution exists on (0,4).

Step-by-step explanation:

Use Theorem

Divide equation with t(t — 4).

y''+[3/(t-4)]*y'+ [4/t(t-4)]*y=2/t(t-4)

p(t)=3/t-4—> continuous on (-∞, 4) and (4,∞)

q(t) = 4/t(t-4) —> continuous on (-∞,0), (0,4) and (4, ∞)

g(t) = 2/t(t-4)—> continuous on (-∞, 0), (0,4) and (4,∞)

t_o = 3, so solution exists on (0,4).

6 0

3 years ago

Please help quicklyyy!!!

Fiesta28 [93]

Answer:

Its the 3 one

Step-by-step explanation:

7 0

3 years ago

point A is at (-5,-4) and point M is at (0,-3.5).Point M is the midpoint of point A and point Bwhat are the coordinates of point

velikii [3]

Answer:

point b is at 5,-3

you have to go 5 past and .5 up

6 0

3 years ago

-5x+2y=6 -x+2y=-2 what is the solution to the system of equations?

dybincka [34]

Step-by-step explanation:

$- 5x + 2y = 6 \\ - x + 2y = - 2 \\ \\ - 5x + 2y - ( - x + 2y) = 6 - ( - 2) \\ - 5x + 2y + x - 2y = 6 + 2 \\ - 4x = 8 \\ \frac{ - 4x}{ - 4} = \frac{8}{ - 4 } \\ x = (- 2) \\ \\ -5x + 2y = 6 \\ - 5 \times - 2 + 2y = 6 \\ 10 + 2y = 6 \\ 2y = 6 - 10 \\ 2y = - 4 \\ \frac{2y}{2} = \frac{ - 4}{2} \\ y = - 2 \\ now \: lets \: see \: whether \\ this \: equation \: is \: correct. \\ - x + 2y = - 2 \\ - ( - 2) + 2 \times - 2 = - 2 \\ 2 + 2 \times - 2 = - 2 \\ 2 - 4 = - 2 \\ - 2 = - 2 \\ yes \: this \: equation \: is \\ correct.$

7 0

3 years ago