Answer:
Step-by-step explanation:
11) First write in decreasing exponential terms and fill in blanks with zeros.
Our goal is to eliminate all term in the dividend by subtraction
________________
2v - 2 | 2v³ - 16v² + 0v + 13
we see that 2v needs to be multiplied by 1v² to eliminate the first term
<u> v² </u>
2v - 2 | 2v³ - 16v² + 0v + 13
<u>- (2v³ - 2v²)</u>
0 - 14v²
multiply your estimate by your divisor and subtract from the dividend.
bring down the next term and repeat.
<u> v² -7v </u>
2v - 2 | 2v³ - 16v² + 0v + 13
<u>- (2v³ - 2v²)</u>
0 - 14v² + 0v
<u>-(-14v² + 14v)</u>
- 14v
repeat again
<u />
<u> v² - 7v - 7 </u>
2v - 2 | 2v³ - 16v² + 0v + 13
<u>- (2v³ - 2v²)</u>
0 - 14v² + 0v
<u>-(-14v² + 14v)</u>
- 14v + 13
<u>-(-14v + 14)</u>
-1
and remainder gets put over the divisor and appended
v² - 7v - 7 - 1/(2v - 2)
13) Same process
<u> </u>
5a + 1 | 40a³ - 12a² - 39a - 5
<u> 8a² </u>
5a + 1 | 40a³ - 12a² - 39a - 5
<u>-(40a³ + 8a²)</u>
-20a² - 39a
<u> 8a² - 4a </u>
5a + 1 | 40a³ - 12a² - 39a - 5
<u>-(40a³ + 8a²)</u>
-20a² - 39a
-(-<u>20a² - 4a)</u>
-35a - 5
<u> 8a² - 4a - 7 </u>
5a + 1 | 40a³ - 12a² - 39a - 5
<u>-(40a³ + 8a²)</u>
-20a² - 39a
-(<u>20a² - 4a)</u>
-35a - 5
-<u>(-35a - 7)</u>
2
8a² - 4a - 7 + 2/(5a + 1)
Volume of cone = (pi/3)r^2h
Volume of hemisphere = (1/2) (4pi/3)r^3
we are given r=6/2=3cm, h(cone)=8 cm,
so total volume
=(pi/3)r^2h + (1/2)(4pi/3)r^3
=(pi/3)*3^2*8 + (1/2)(4pi/3)*3^3
=24pi + 18pi
=42pi cm^3
=131.9 cm^3 (approx.)
Answer: x<4
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
x+3<7
Step 2: Subtract 3 from both sides.
x+3−3<7−3
x<4
Answer:
y=-8x-2
Step-by-step explanation:
The formula for slope is y2-y1/x2-x1. Take coordinate (0,-2), which is the y-intercept. We'll call that (y2,x2). Coordinate (8,-3) is (y1,x1). Put that into the formula you get, 0-8/-2-(-3). You get -8/1 which is negative 8. We now have the slope. Slope intercept form equation is y=mx+b. M is slope, so we put our slope in the equation and get, y=-8x+b. B is the y-intercept which is given. So we know that the equation to this line in slope-intercept form is y=-8x-2.
The nswer is square root of 52
