Answer:
<em>Centimeters of crystal ( in real life ) = 0.5 cm</em>
Step-by-step explanation:
Let us plan out our steps, and solve for each:
1. Given the information, let us create a proportionality as such:
24 = 1 ⇒ x - <em>crystal size in real life</em>
12 x
3. Now let us cross multiply, and solve through simple algebra:
12 = 24 * x,
<em>x = 0.5 centimeters of the crystal in real life</em>
Answer:
3.076 × 10¹⁵
Step-by-step explanation:
40C10 × 10!
= 3.076 × 10¹⁵
The answer is (f . g)(x) = - (34k + 17k⁷ + 17k⁵ + 40k³ + 20k² + 60).
Remember that :
<u>(f . g)(x) = f(x) × g(x)</u>
<u />
Hence :
- (f . g)(x) = (2k³ + k² + 3)(-17k⁵ - 20)
- (f . g)(x) = -34k⁸ - 17k⁷ - 17k⁵ - 40k³ - 20k² - 60
- (f . g)(x) = - (34k + 17k⁷ + 17k⁵ + 40k³ + 20k² + 60)
The slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points (10,14) and (35,49) form a proportional relationship.
<h3>What is the slope?</h3>
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
From the above formula, we can find the slope of the line:
m = (49-14)/(35-10)
m = 35/25
m = 7/5
The equation will be:
y = 7x/5 + c
here c is the y-intercept
Plug (10, 14) in the equation to find the value of c
14 = 7(10)/5 + c
c = 0
y = 7x/5 or
5y - 7x = 0
Thus, the slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points (10,14) and (35,49) form a proportional relationship.
Learn more about the slope here:
brainly.com/question/3605446
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Answer:
f(3)=3
Step-by-step explanation:
Plugin 3 for x, and simplify
f(x) =5(x)−12
f(3) =5(3)−12
=15−12
f(3)=3