Answer:
The equivalent expression to this equation is -30x⁸4y⁶
Step-by-step explanation:
For this expression, we have to multiply the terms. We can do this by following the order of operations.
(-3x³y²)(5x⁵y⁴)2
First, we have to multiply -3x³y² and 5x⁵y⁴ together.
(-15x⁸2y⁶)2
Now, we multiply these terms together.
-30x⁸4y⁶
So, the expression that is equivalent to this equation is -30x⁸4y⁶
<span>Raduis of Can=1/2 of 12cm</span>
<span><span>R=6cm
</span></span>
<span>
</span>
<span>Volume of Can= pi r ^{2} h</span>
<span /><span><span>= pi 6 ^{2} 16</span></span>
<span><span />=1809.5573cm3</span>
<span /><span>
</span>
<span>Volume of Meatball=4/3 pi r ^{3}</span>
<span /><span>=4/3 pi 3 ^{3}</span>
<span>=113.09734</span>
<span>
</span>
<span>25% of can =</span>
<span>1809.5573/4</span>
<span>=452.389325</span>
<span>Meatballs in area = 25%of can/volume of meatballs</span>
<span>=452.389325/113.09734</span>
<span>=4 meatballs</span>
Answer:
a). 8100 bacteria
b). 519 bacteria
c). Infinite
Step-by-step explanation:
Population growth of a bacteria is given by the exponential function,
f(x) = 
Where f(x) = Population after time 't'
= Initial population
r = Growth rate
t = Duration after t hours
If "100 bacteria gets tripled every hour"
300 = 
3 = 1 + 
r = 100×(3 - 1)
r = 200
So the function is, f(x) = 
a). Population after 4 hours,
f(4) = 
= 8100 bacteria
b). Population after 90 minutes Or 1.5 hours
f(1.5) = 
= 519.61
≈ 519 bacteria
c). Population after 72 hours,
f(72) = 
= Infinite
It would help if we represent the information in form of two-ways table as shown below
The number of students who are not on probation is 104 students
There are 23 students who are not on probation and is satisfied is 81 students
The probability of students not on probation and is satisfied is 81/104
Answer:
The area of one slice of pizza is 18 in²
Step-by-step explanation:
First we have to know that the 360 ° representing the circle expressed in radians are expressed as 2π
Now we must calculate the area of the circle
a = π * r²
a = π * (12in)²
a = 144π in²
Now that we have the area of the circumference we multiply it by (π/4) / (2π)
144π in² * (π/4) / (2π) =
144 in² * 1/8 =
18 in²
The area of one slice of pizza is 18 in²