Which line has a constant of proportionality between y and x (Slope) of 4/3?
4/3 = slope = rise over run
(Rephrase) Which line has a slope of 4/3? Go up 4 over 3
Answer: B
Answer:
Step-by-step explanation:
(t3 - 11ť + 45t +277)
1980
Answer:
Explanation:
<em><u>(A) Use the exponential growth model to write an equation that estimate the population t years after 2016</u></em>
Calculating some terms will help you to determine the exponential growth model to estimate the population t years after 2016.
Year Number of years Population
after 2016 P(t)
2016 0 7652
2017 1 7652 + 7652 × 0.016 = 7652 × (1.016)
2018 2 7652 × (1.016)²
2019 3 7652 × (1.016)³
t
Hence the equation that estimates the population t years after 2016 is:
<u><em>(B) Estimate the population in 2024. </em></u>
Year 2024 is 2024 - 2016 = 8 years after 2016. Hence, t = 8 years and you just must substitute t with 8 in the model (equation) to estimate the population in year 2024:
Answer:
x = 44
y = 22
Step-by-step explanation:
✔️Find x:
Reference angle = 60°
Hypotenuse = x
Opposite side length = 22√3
Applying the trigonometric FUNCTION, SOH, we have:
Sin 60 = opp/hyp
Sin 60 = (22√3)/x
x × Sin 60 = 22√3
x = (22√3)/Sin 60
x = (22√3)/(√3/2) (sin 60 = √3/2)
x = 22√3 × 2/√3
x = (22√3 × 2) / √3
x = (44√3) / √3
x = 44
✔️Find y:
Reference angle = 60°
Hypotenuse = x = 44
Adjacent length = y
Applying CAH, we have:
Cos 60 = adj/hyp
Cos 60 = y/44
44 × Cos 60 = y
44 × ½ = y (cos 60 = ½)
22 = y
y = 22