Answer:
3
Step-by-step explanation:
first work out wax used for cone using formula
1/3 x 3.14 x r squared x height
using this the total for the candle must be 113
formula for a sphere is 4/3 x 3.14 x r cubed
so we know 113 /3.14 / 4/3 = r cubed
cube root 27 = 3
Answer:
The slope is Negative three-halves and contains the point (0, 2).
Step-by-step explanation:
(-3,-4)(3,0)
M= -4/-6 = 2/3
⊥M = -3/2
0 = 2/3(3) + B
B=2
As you may already be familiar, these functions f(x) and g(x) are piecewise. They consist of multiple functions with different domains.
1. For #1, the given input is f(0). Since 0≤1, you should use the first equation to solve. f(0)=3(0)-1 ➞ f(0)=-1
2. Continue to evaluate the given input for the domains given. 1≤1, therefore f(1)=3(1)-1➞f(1)=2
3. 5>1, therefore f(5)=1-2(5)➞f(5)=-9
4. -4≤1; f(-4)=3(-4)-1➞f(-4)=-13
5. -3<0<1; g(0)=2
6. -3≤-3; g(-3)=3(-3)-1➞g(-3)=-10
7. 1≥1; g(1)=-3(1)➞g(1)=-3
8. 3≥1; g(3)=-3(3)➞g(3)=-9
9. -5≤-3; g(-5)=3(-5)-1➞g(-5)=-16
Hope this helps! Good luck!
Answer:
2x - y = 0
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x - 1 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes, thus
y = 2x + c ← is the partial equation
To find c substitute (1, 2) into the partial equation
2 = 2 + c ⇒ c = 2 - 2 = 0
y = 2x ← equation in slope- intercept form
Subtract y from both sides
0 = 2x - y , that is
2x - y = 0 ← equation in standard form
Answer:
no they are not equivalent
Step-by-step explanation:
0.4/15 = 0.026
so for every minute they travel 0.026km
0.6/20 = 0.03
so for every minute they travel 0.03km
so they are not the same/equivalent