Answer:
B) exactly one solution
Step-by-step explanation:
1. 9.86* 10 ^13
2. 5.394* 10^13
3. and 4. I don't know those questions are confusing
5. 2.3705* 10^35
6. 5^10
7. 4^13
8. 6^ 36
9. 2.425674* 10^30
10. 1.1556* 10^13
The formula for circumference is pi(diameter) or 2 x pi x radius. So you have the diameter which is 4.25. Next step you need to do is multiply it with pi which is equal to 3.14. Your equation would be C= 3.14 x 4.25.
3,075ft^3 (cubic feet)
(the ^3 means to the power of 3. aka cubed)
Answer:
Equation of the tangent to the curve
y = 240x - 215994
Equation of the normal
y = (-1/240)x + 9.75 = - 0.00417x + 9.75
Step-by-step explanation:
y = (6 + 4x)² = 36 + 48x + 16x² = 16x² + 48x + 36
dy/dx = 32x + 48
At the point (6,900),
dy/dx = 32(6) + 48 = 240
Equation of the tangent at point (a,b) is
(y - b) = m(x - a)
a = 6, b = 900, m = 240
y - 6 = 240(x - 900)
In the y = mx + b form,
y - 6 = 240x - 216000
y = 240x - 215994
The slope of the normal line = -(1/slope of the tangent line) (since they're both perpenducular to each other)
Slope of the normal line = -1/240
Equation of normal
y - 6 = (-1/240)(x - 900)
y - 6 = (-x/240) + 3.75
y = (-1/240)x + 9.75
y = - 0.00417x + 9.75
