Answer:The equation of the line that has a slope of -1/2 and a y-intercept of -2 is: y=-1/2x-2. All you really have to do here is replace m with -1/2, which is the slope you gave, and replace b with -2, the y-intercept you gave, in the equation y=mx+b.
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Step-by-step explanation:
Answer:
f(n) = 64(3/4)^(n-1).
Step-by-step explanation:
The common ratio is 48/64 = 36/48 = 3/4.
For a GS nth term = a1 r^(n-1) where r = the common ratio, a1 = the first term, and n = the number of peaks reached.
The axplicit function is 64(3/4)^(n-1).
Answer:
376.52 is the volume of the composite figure.
Step-by-step explanation:
Let's break this into two shapes.
A rectangular prism and a hemisphere
Volume Formula for rectangular prism: l • h • w
Volume Formula for hemisphere: (2/3)πr^3
l • h • w
10 • 4 • 8
40 • 8
320
Rectangular Prism: 320
(2/3)πr^3
2/3(3)^3
2/3(3.14)(27)
2.09333333333(27)
56.52
Hemisphere: 56.52
320 + 56.52 = 376.52
Answer: 120° obtuse.
Step-by-step explanation:
The sum of the angles in a triangle is 180°. Since two of the angles given are 35° and 25°, the third angle will be:
= 180° - (35° + 25°)
= 180° - 60°
= 120°
This is an obtuse angle since it's greater than 90° but less than 180°
C. million or 500,000,000
d.thousands or 30,000
and the first one is good and the second one for the million you wrote all the zeros right so it should look like 80,000,000
