Kenji earned the test scores below in English class. 79,91,93,85,86 and 88. After his next test, his mean and median scores both
1 answer:
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Answer:
Step-by-step explanation:
1). Vertical intercept of the graph = Point at which the graph intersects the y-axis.
Therefore, vertical intercept is y = 1000.
In this situation vertical intercept means the initial dose of the drug taken = 1000 mg.
2). From the graph attached, point (x, y) represents,
x = Time 't' or duration
y = concentration of the drug after time 't'
Point (0, 1000) represents concentration = 1000 mg of the drug after t = 0 hour
Similarly, (1, 750) represents concentration = 750 mg after t = 1 hour
Therefore, fraction of drug remained =
=
3). Let the equation, representing the concentration of the drug and time is,
Here, a = Initial amount of the drug (at t = 0 hours)
= 1000 mg
At (t = 1 hours), concentration of the drug = 750 mg
Therefore, equation will be,
<u><em>Answer:</em></u>
x = 25
y = 14
<u><em>Explanation:</em></u>
The described scenario can be represented using the attached triangle.
<u>1- getting the value of x:</u>
We know that ΔABC is an isosceles triangle with AC = BC
<u>This means that:</u>
∠CAB = ∠CBA
We know that ∠CAB = 50° and ∠CBA = 2x°
<u>Equating the two angles, we get:</u>
50 = 2x .................> Divide both sides by 2
x = 25
<u>2- getting the value of y:</u>
We know that the sum of the internal angles of a triangle is 180°
<u>This means that:</u>
∠ABC + ∠CAB + ∠ACB = 180°
<u>We have:</u>
∠ABC = 2x = 50°
∠ACB = 5y + 10
∠CAB = 50°
<u>Now, we substitute to get the value of y as follows:</u>
50 + 50 + 5y + 10 = 180
110 + 5y = 180
5y = 180 - 110
5y = 70 .............> Divide both sides by 5
y = 14
Hope this helps :)
