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quadratical things

91

Factor:   x²+5x+6

(x+2)(x+3)

243

Find the x-intercepts of x²−9=0

x=±3

333

Find the vertex of y=x²−6x+5

y=(x−3)²−4

409

Sketch/predict the graph of y=−(x−2)²+4. State vertex and opening direction. 

Vertex = (2,4), opens downward, maximum value = 4

521

Solve 2x²−7x+3=0

2x²−7x+3=(2x−1)(x−3)

Geometry

91

What is a triangle

It is a 2D shape with three sides

243

A right triangle has opposite = 3 and hypotenuse = 5. Find sin⁡θ

sinθ=3/5

333

A ladder leans against a wall making a 60° angle with the ground. The ladder is 8 m long. How high does it reach?

h=8 sin 60^∘ h≈6.93m

409

Find the volume of a cylinder with radius 3 cm and height 5 cm. Use "pie"

45 pie

≈ 141.4 cm³

521

From the top of a 20 m building, the angle of depression to a car is 35°. How far is the car from the building?

≈ 28.6 m

statistics

91

Find the mean of: 4, 6, 8, 10, 12

8

243

Find the median of: 3, 5, 7, 8, 10, 12, 15

8

333

Find the range of: 12, 18, 7, 25, 15

25−7=18

409

Find the IQR of: 2, 4, 6, 8, 10, 12, 14, 16, 18

IQR=15−5=10

521

A linear regression gives y=2.5x+4 Predict y when x =12

y=2.5(12)+4=34

Mid question

91

Find the slope between (1,2) and (3,6)

2

243

Find the midpoint of (2,4) and (8,10)

(5,7)

333

Find the equation of the line with slope 2 and y-intercept −3

y=2x−3

409

Find the distance between (1,2) and (7,10)

=10

521

Solve the system: y=2x+1 and y =-x+7

2,5

SEE-Learning Questions

91

Why is breathing good for you??

To regulate yourself!!!

And to live😀

243

Despite normoventilation, normoxemia, adequate hemoglobin saturation, and normal cardiac output, a patient develops severe lactic acidosis. What pathophysiological mechanism most likely explains this paradox?

Mitochondrial inhibition of oxidative phosphorylation (e.g., cytochrome c oxidase blockade) prevents cellular oxygen utilization, resulting in histotoxic hypoxia and a compensatory shift to anaerobic glycolysis.

333

During intense exercise, a person's breathing rate and heart rate both increase. Explain how this helps maintain cellular respiration in muscle cells, and describe the roles of oxygen, carbon dioxide, the lungs, and the circulatory system in this process.

During intense exercise, muscle cells require more energy (ATP), so the rate of cellular respiration increases. To meet this demand:

• The breathing rate increases, allowing the lungs to take in more oxygen and remove more carbon dioxide.
• Oxygen diffuses from the alveoli into the blood.
• The heart pumps faster, delivering oxygen-rich blood to the muscles more quickly.
• Muscle cells use oxygen in aerobic respiration to produce ATP.
• Carbon dioxide, a waste product of respiration, is carried by the blood back to the lungs.
• Increased breathing removes this excess carbon dioxide, helping maintain the body's pH balance.

Together, the respiratory and circulatory systems ensure that muscles receive enough oxygen and that carbon dioxide is removed efficiently during exercise.

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409

A climber ascends rapidly from sea level to an altitude of 5,500 m. Atmospheric pressure decreases significantly, but the percentage of oxygen in the air remains approximately 21%.

Explain why the climber may still experience hypoxia (oxygen deficiency). In your answer, discuss:

1. Partial pressure of oxygen
2. Gas exchange in the alveoli
3. Hemoglobin saturation
4. The body's short-term and long-term physiological responses to high altitude

Although oxygen still makes up about 21% of the atmosphere, the partial pressure of oxygen decreases as total atmospheric pressure decreases.

• Because the partial pressure of oxygen is lower, fewer oxygen molecules enter the alveoli with each breath.
• This reduces the diffusion gradient between the alveoli and the blood, so less oxygen enters the bloodstream.
• Hemoglobin becomes less saturated with oxygen because there is less oxygen available to bind to it.
• The climber may therefore experience hypoxia, where tissues do not receive enough oxygen.

521

Why does Adrian Slavov and Owen Robison and Gabriel Serra suffer during SEE- LEARNING 

Because we already know all the SEE learning strategies but we don't implement them