Answer:
this is the equation of the tangent line to the curve at the point (0,1)
Step-by-step explanation:
to find the tangent line we need to find the curve's derivative. using 
, we'll find dy/dx.
^ this is the equation of the slope of the curve. By finding the slope of the curve at (0,1) we'll also be finding the slope of the tangent to the curve at (0,1).
at (0,1) x = 0. we'll use that in dy/dx
this is the slope of the tangent at point (0,1)
we'll use the general equation of the line formula to find the equation of tangent.
here m is the slope, i.e. m = -2, and (x1,y1)=(0,1)
this is the equation of the tangent line at the point (0,1)
Answer: Simple interest rate = 3%.
Step-by-step explanation: We are given invested amount = $5000.
Number of years of investment = 4 years.
Interest earned = $600.
Simple interest formula.
I = P R T.
Where I is the earned interest, P is the invested amount , R is the rate of interest and T is the time in years.
Plugging values in formula, we get
600 = 5000 × R × 4
600 = 20000R.
Dividing both sides by 20000, we get
0.03 = R.
Multiplying by 100 to convert it in percentage, we get
0.03 × 100 = R
R = 3 %.
Answer: I don't know
Step-by-step explanation: Use the fact that 180° is equivalent to \pi radians as a conversion factor: 1=\frac{\pi \, \text{rad}}{180^{\circ}}=\frac{180^{\circ}}{\pi \, \text{rad}}.
225^{\circ}=225^{\circ}·\frac{\pi }{180^{\circ}}=\frac{5\pi }{4} rad
\frac{5\pi }{3} rad = \frac{5\pi }{3}·\frac{180^{\circ}}{\pi }=300^{\circ}
I know this is probably not right sorry if I wasted your time cause my friend told me this.
The r value is r = -0.015 which is much closer to 0 than it is to -1, so this means that the linear regression line is a bad model to estimate the points. You're better off using some other model (eg: quadratic model), or it's possible that the data isn't connected at all and it's random noise.
If r were closer to -1, then we'd be more confident that the lines all fall around the same straight line that slopes downward.
<span>1/8(x - 49) = 1/8 * x - 1/8 * 49 = 1/8x - 49/8
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