Answer:
8
Step-by-step Explanation:
Step 1. Divide 1200 by 300:
1200 ÷ 300 = 4
Step 2. Multiply 4 by 2:
4 * 2 = 8
Answer:
1st blank is 0,14 dollars/1yuan, and 2nd blank is 1kg/2.2lb
Step-by-step explanation:
The equation of line is y = 92x – 182631. The slope is 92 and the y-intercept is the negative 182631. And the health expenditure in 2010 will be 2289.
<h3>What is the equation of a line passing through two points?</h3>
Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by
![\rm (y - y_1) = \left [ \dfrac{y_2 - y_1}{x_2 - x_1} \right ] (x -x_1)](https://tex.z-dn.net/?f=%5Crm%20%28y%20-%20y_1%29%20%3D%20%5Cleft%20%5B%20%5Cdfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20%5Cright%20%5D%20%28x%20-x_1%29)
In MODE, (second line), fix the number of decimal places to be 2.
Then the slope and the y-intercept values of the Lin Reg line will round to the nearest hundredth.
(x₁, y₁) → (1997, 1093)
(x₂, y₂) → (2002, 1553)
Then we have
y – 1093 = [(1553 – 1093) / (2002 – 1997)] (x – 1997)
y – 1093 = [460 / 5] (x – 1997)
y – 1093 = 92 (x – 1997)
y = 92x – 182631
If x = 2010, then the value of y will be
y = 92 × 2010 – 182631
y = 184920 – 192631
y = 2289
Learn more about straight-line equations here:
brainly.com/question/380976
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The answer is D
Hope this helps
T=-1
sinA=sin(π/2-3A), A=2nπ+π/2-3A, 4A=2nπ+π/2, A=nπ/2+π/8 where n is an integer.
Also, π-A=2nπ+π/2-3A, 2A=2nπ-π/2, A=nπ-π/4.
The hard way:
cos3A=cos(2A+A)=cos(2A)cosA-sin(2A)sinA.
Let s=sinA and c=cosA, then s²+c²=1.
cos3A=(2c²-1)c-2c(1-c²)=c(4c²-3).
s=c(4c²-3) is the original equation.
Let t=tanA=s/c, then c²=1/(1+t²).
t=4c²-3=4/(1+t²)-3=(4-3-3t²)/(1+t²)=(1-3t²)/(1+t²).
So t+t³=1-3t², t³+3t²+t-1=0=(t+1)(t²+2t-1).
So t=-1 is a solution.
t²+2t-1=0 is a solution, t²+2t+1-1-1=0=(t+1)²-2, so t=-1+√2 and t=-1-√2 are solutions.
Therefore tanA=-1, -1+√2, -1-√2 are the three solutions from which:
A=-π/4, π/8, -3π/8 radians and these values +2πn where n is an integer.
Replacing π by 180° converts the solutions to degrees.