Answer:
<h2>g = 12</h2>
Step-by-step explanation:
As we go from (-6,6) to (9,1), x increases by 15 and y decreases by 5. Thus, the slope of this line is m = rise / run = -5/15, or m = -1/3.
Point-slope form: y-6 = (-1/3)(x+6), using data from (-6,6).
Slope-intercept form: starting with y = mx + b, substit. -6 for x, 6 for y and -1/3 for m:
6 = (-1/3)(-6) + b, or
6 = 2 + b. Then b = 4, and the equation in slope-intercept form is
y = (-1/3)x + 4.
Answer:the weight after 225 days is
22885 kilograms
Step-by-step explanation:
The initial weight of the blue whale calf at birth is 2725 kilograms. blue whale calf gains 90 kilograms of weight each day for the first 240 days after its birth. The weight increases in arithmetic progression. This means that the first term of the sequence, a is 2725, the common difference, d is 90.
The formula for the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
n is the number of terms of the sequence.
a is the first term
d is the common difference
We want to determine its weight, T225 after 225 days after it’s birth. It means that n = 225
Therefore
T225 = 2725 + (225 - 1)90
T225 = 2725 + 224×90 = 2725 + 20160
T225 = 22885
Answer:
30
Step-by-step explanation:
(-) (-) = +
Therefore 15 - (-15) = 15 + 15 = 30
<u>The growth factor</u>:
⇒ <em>is the </em><u><em>base in the exponent</em></u><em>:</em>
<em> ⇒ the larger it is ⇒ the greater the growth factor is!</em>
<em />
<u>Let's Analyze our choices:</u>
- c(t)'s growth factor: 5/2
- a(t)'s growth factor: 5/6
- d(t)'s growth factor: 3
- b(t)'s growth factor: 1/50
<u>The greatest growth factor is 3</u>
<u />
<u>Answer: d(t)</u>
<u></u>
Hope that helps!