Answer: 17302
Explanation: This problem requires PEMDAS.
Step 1: Parentheses
(4+3^3) = (4+27) = 31
Step 2: Exponents
31^2 = 961
Step 3: Multiplication
3x6= 18
18x961=17298
Step 4: Addition
17298 + 4 = 17302
The probability is 1/3 or 10/30 that it will lab on orange agin
Answer:
A) The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute
Step-by-step explanation:
When x=0 (no minutes have elapsed), the value of the function is ...
f(0) = 75(2^0) = 75(1) = 75 . . . . the initial number of cells
As x increases by 1 (minute), the number of cells is multiplied by 2, so the 2 is the multiplier each minute. It indicates the number doubles. ("double" = "multiply by 2")
x is not defined, but for the function to make any sense, it must represent elapsed minutes.
Answer:
∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG
Step-by-step explanation:
We have that the initial triangles are equal. Let us check which components remain within the final triangles as the same. The only such components are the angles B and C. We now know that we have to apply a triangle equality criterion.
The triangles BGH and CIH are equal since the have 2 common sides and the respective interior angles are equal. Then we have that BI=GC and also that the respective angles B and C are equal. THen also HIJ=HGJ since they fill to 180 degrees with angles that are equal.
Hence by angle-side-angle the triangles BJI and CJG are equal.
∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG
Let x = number of months.
Let y = total number of fish in pond.
6% of 3,000 = 180 fish
We can use an equation to help us with this problem.
y = 3,000 + 180x - 400x. Combine like terms.
y = 3,000 - 220x. Plug 9 in for x.
y = 3,000 - 220(9). Solve for y
y = 1,020.
There are 1,020 fish in the pond after 9 months.
