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lapo4ka [179]
3 years ago
13

The pH level of tomato juice is 4.2. What is the hydrogen-ion concentration [H+]| for tomato juice?

Mathematics
1 answer:
garri49 [273]3 years ago
4 0

Given:

pH = 4.2 of tomato

Required:

hydrogen-ion concentration [H+]| for tomato juice

Solution:

The formula for the pH relating hydrogen ion concentration is pH = -log[H+] where H+ is the hydrogen ion concentration. so, substitute the value of pH

pH = -log[H+]

4 = - log[H+]

-4 = log[H+]

10^-4 = [H+]

[H+] = 1x10^-4M

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Two planes left simultaneously from the same airport and headed in the same direction towards another airport 3600 km away. The
ExtremeBDS [4]

Answer:

  • 800 kph
  • 600 kph

Step-by-step explanation:

<u>Equation</u>

Let s represent the speed of the faster plane. Then its travel time is ...

  time = distance/speed = 3600/s

travel time for the slower plane is ...

  time = distance/speed = 3600/(s -200)

The difference in these times is 1.5 hours, so we have ...

  3600/(s -200) -3600/s = 1.5

<u>Solution</u>

Multiplying by (2/3)s(s -200), we get ...

  2400(s) -2400(s -200) = s(s -200)

  s^2 -200s -480000 = 0 . . . . . . . . . . rewrite in standard form

  (s -800)(s +600) = 0 . . . . . . . . . . . . . factor

The positive value of s that makes a factor zero is s = 800.

<u>Conclusion</u>

The speed of the faster plane was 800 km/h; of the slower plane, 600 km/h.

_____

<em>Check</em>

The travel time for the faster plane was 3600/800 = 4.5 hours. For the slower plane, 3600/600 = 6 hours, a difference of 1.5 hours.

6 0
3 years ago
A sphere and the base of a cone have a radius of 3 inches. The volume of the sphere equals the volume of the cone. what is the h
Valentin [98]
So the volume of a sphere is V= \frac{4}{3}  \pi r^3 , and the volume of a cone is V= \pi r^2 \frac{h}{3} (h=height, r=radius). Knowing only the radius, we can solve for the volume of the sphere. (Also I'm going to be leaving answers in pi form.)

V= \frac{4}{3} \pi 3^3
Solve the exponents to get V= \frac{4}{3} \pi 9
Multiply 4/3 and 9 to get V=13.5 \pi


Now that we know the volume of the sphere, we can solve for the height of the cone since the volumes for both are the same.

13.5 \pi = \pi 3^2 \frac{h}{3}

Solve the exponents to get 13.5 \pi =9 \pi  \frac{h}{3}

Divide 9 \pi on each side to get 1.5= \frac{h}{3}

Multiply 3 on each side, and your answer should be 4.5=h
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4 years ago
Mariah is a manager of a fitness training center that serves a certain region. She is interested in the amount of water adult re
Luden [163]
Your answer should be B
5 0
3 years ago
Identify the point and slope this equation: y+3-2(x-2)
andrew-mc [135]

Answer:

y+7-2x

Step-by-step explanation:

y+3-2(x-2)=

y+3-2x+4=

y+7-2x

Can I have Brainliest.

Have a nice day.

Best Regards

3 0
3 years ago
How do i graph y=3/4x+2
Alekssandra [29.7K]
If you have a graphing calculator, you can simply type it into y= and it will graph it for you. But if you need coordinates, the line runs through (0,2) , (4,5) , and (-4,1)
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