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3 years ago

Complete the statement with equal to, greater than, or less than.

Mathematics

1 answer:

faltersainse [42]3 years ago

5 0

2/7 x 1/3 Will Be Less Than 1/3

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2. The alkalinity of a fluid (pH) can be modeled in terms of its hydrogen ion concentration (H+, measured in moles/liter) of the

nataly862011 [7]

Given the equation:

$pH=-log\mleft(H^+\mright)$

You know that a lab technician finds that a sample of fluid has this pH:

$pH=4.5$

Then, in order to find the hydrogen ion concentration of the fluid, you need to follow these steps:

1. Substitute the pH given in the exercise into the equation:

$4.5=-log(H^+)$

Multiply both sides by -1:

$-4.5=\log (H^+)$

2. Solve for:

$H^+$

Remember that, by definition:

$\log _b\mleft(c\mright)=a\Rightarrow b^a=c$

In this case, you can identify that:

$\begin{gathered} a=-4.5 \\ b=10 \\ c=H^+ \end{gathered}$

Hence, substituting values and simplifying, you get:

$\begin{gathered} b^a=c \\ 10^{-4.5}=H^+ \\ H^+=0.00003162278\text{ }\frac{moles}{liter} \end{gathered}$

Therefore, the answer is:

$H^+=0.00003162278\text{ }\frac{moles}{liter}$

4 0

2 years ago

Enter the variable that is easiest to solve for in this system of equations. 6y=10x+5 , 6y=5x+7

djverab [1.8K]

Answer:

Step-by-step explanation:

nhmnj

8 0

3 years ago

Read 2 more answers

The distance between the cities Atlanta and Indianapolis is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 h

WITCHER [35]

Answer:

It will take them 5 hours to meet if they start moving towards eachother simultaneusly.

Step-by-step explanation:

Distance, s = 540 miles

Motocycle's speed, v = 48 mph

Time for motorcycle to cover 48 miles, t = $\frac{Distance}{Speed}$

= $\frac{540}{48}$ = 11.25 h

For a car it takes 2.25 hours less than 11.25 for motorcycle:

Time for car than becomes: 11.25 - 2.25 = 9 h

Speed for car would be v(c) = $\frac{Distance}{Time}$

= $\frac{540}{9}$ = 60 mph

<em>For finding when they will meet, we will need relative speed: </em>

Since they are moving towards each other the relative speed is the sum of speed of car and the speed of motorcycle

Relative Speed = 48 + 60 = 108 mph

Distance = 540 miles

Time = $\frac{Distance}{Speed}$

= $\frac{540}{108}$

= 5 hours

6 0

3 years ago

20% of 37.35 for math

Bogdan [553]

Answer:

7.47

Step-by-step explanation:

37.35 x 20%

37.35 x .20

7.47

4 0

3 years ago

Find the square root of the following by prime factorization method.

weeeeeb [17]

Answer:

$\boxed{=65}\\$

Step-by-step explanation:

$\begin{array} {c|c}4225&5\\845&5\\169&13\\13&13\\1\\\end{array}\\\\\\4225=5^2*13^2\\\\\sqrt{4225} \\\\=5^{\frac{2}{2} }*13^{\frac{2}{2} }\\\\=5*13\\\\\boxed{=65}\\$

8 0

3 years ago

Read 2 more answers