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3 years ago

Which equation has the solution x = 2 ? *

Mathematics

1 answer:

Feliz [49]3 years ago

3 0

Answer:

Step-by-step explanation:

The second one because 3(2)=6 when you add 2 you get eight

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(0,0) represents the

IRINA_888 [86]

Represents the Origin.

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4 years ago

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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

I need help can you please explain where does the 8 come from

BaLLatris [955]

Since you want to cancel something out, the book makes the 24 3 times eight so that both of the threes can be canceled out

5 0

3 years ago

What is the area of a trapezoid that has the bases of 1 1/4ft and 14 inches and a height of 3 inches.

Rom4ik [11]

The area of the trapezoid is 43.5 inches²

Step-by-step explanation:

The formula of the area of a trapezoid is $A=\frac{1}{2}(b_{1}+b_{2})h$ , where:

$b_{1}$ and $b_{2}$ are the two parallel bases
h is its height

∵ $b_{1}$ = $1\frac{1}{4}$ feet

∵ $b_{2}$ = 14 inches

∵ h = 3 inches

- Change the length of $b_{1}$ from feet to inches

∵ 1 foot = 12 inches

∴ $1\frac{1}{4}$ feet = $1\frac{1}{4}$ × 12 = 15 inches

∴ $b_{1}$ = 15 inches

Substitute the values of $b_{1}$ , $b_{2}$ and h in the

formula of the area

∴ $A=\frac{1}{2}(15+14)(3)$

∴ A = 43.5 inches²

The area of the trapezoid is 43.5 inches²

Learn more:

You can learn more about the area of figures in brainly.com/question/12919591

#LearnwithBrainly

5 0

4 years ago

A person gets on a Ferris wheel at the starting point. The starting point is 15 feet off the ground. The Ferris wheel has a radi

lisov135 [29]

<h2>Answer:</h2>

$\boxed{\frac{25}{2}(\sqrt{6}+\sqrt{2})+65}$

<h2>Explanation:</h2>

<em>The height of the rider from the ground after the Ferris wheel</em> equals <em>the starting point is 15 feet off the ground </em><em>plus </em><em>the radius of the Ferris wheel </em><em>plus </em><em>the opposite side of the triangle ΔABC </em>(See figure below).<em> </em>Hence our goal is to find this side. We have the angle $11\pi /2=165^{\circ}$ , therefore the angle ∠BAC = 165° - 90° = 75°. So this side can be found using trigonometry:

$\overline{BC}=\overline{AB}sin(75^{\circ})=50sin(75^{\circ})=\frac{25}{2}(\sqrt{6}+\sqrt{2})$

Finally, the height is:

$H=\frac{25}{2}(\sqrt{6}+\sqrt{2})+15+50 \\ \\ \boxed{H=\frac{25}{2}(\sqrt{6}+\sqrt{2})+65}$

6 0

3 years ago