Answer:
x = 50°
Step-by-step explanation:
180° - 80° = 100°
100° ÷ 2 = 50°
50° + 50° + 80° = 180°
5,486 plus 8,602 is equal to around 14,000, give or take.
Answer:
10. ⅔ − ∛e
11. 79 + 3√3
Step-by-step explanation:
10. ∫ (1 + 1/x) dx
∫ dx + ∫ (1/x) dx
These are both standard integrals.
x + ln|x| + C
Evaluate between x = ∛e and x = 1.
(1 + ln|1| + C) − (∛e + ln|∛e| + C)
1 + 0 + C − ∛e − ⅓ − C
⅔ − ∛e
11. ∫₁³ (4x³ + ³/₂√x) dx
∫₁³ 4x³ dx + ∫₁³ (³/₂ x^½) dx
(x⁴ + x^(³/₂) + C) |₁³
(x⁴ + x√x + C) |₁³
(3⁴ + 3√3 + C) − (1⁴ + 1√1 + C)
81 + 3√3 + C − 1 − 1 − C
79 + 3√3
Answer:
-2
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b
where y is the variable on the vertical axis, x is the variable on the horizontal axis, m is the slope of the line = change in vertical axis / change in horizontal axis, b is the y intercept.
Given that the quantity of apples were measured on the horizontal axis and the bananas on the vertical axis. Therefore let y represent the quantity of bananas and x represent the quantity of apples. The price of banana is $0.75 while that of apple is $1.50, Hence:
0.75y + 1.5x = 12
0.75y = -1.5x + 12
y = -2x + 16
Hence comparing with y = mx + b, the slope of the budget line is -2
Answer:9.34×10^1
Step-by-step explanation:
To simplify 467000×0.0002 in scientific notation
We get
467000×0.0002
=93.4
=9.34×10^1