V = (4/3)π*r^3
.. = (4/3)*3.14*(5.3 ft)^3
.. = 623.3 ft^3
Answer:
8xy-3y + 2(9x-5y+4) = 18
Step-by-step explanation:
We need to find the value of the given expression:
8xy-3y + 2(9x-5y+4) ....(1)
when x = 3 and y = -4
Put the values of a and y in equation (1)
8×3×(-4)-3(-4)+ 2(9×3-5(-4)+4)
= -96 +12 + 2(27 + 20 +4)
= -84 + 2(51)
= -84 + 102
= 18
Hence, the value of the given expression is 18.
Answer:
126807 people
Step-by-step explanation:
Given;
P= Poe^ht
Where;
P= population at time t
Po= population at the beginning
h= growth constant
t= time
1998- 2008 is ten years.
110429= 100,000e^10h
1.1 = e^10h
ln(1.1) = lne^10h
0.095 = 10h
h= 0.0095
In 2023, t = 25 years
P= 100,000e^(0.0095 × 25)
P= 126807 people
The correct answer is B. I figured this out by testing out coordinates into each equation. I am only going to show my work for equation B though... if you want to see the rest of my work, message me.
(0,0) ⇒ this point is within the shaded part of the graph
0 ≤ 1/2(0) + 3
0 ≤ 0 + 3
0 ≤ 3
True
(1,4) ⇒ this point is within the unshaded region
4 ≤ 1/2(1) + 3
4 ≤ 1/2 + 3
4 ≤ 3.5
False
This proves that equation B matches the graph shown.
Answer:
B
Step-by-step explanation:
You can just move upper y equation and it will be:
6x+3(3x-5)=15
6x+9x-15=15
15x-15=15
15x=30
x=2
