A petri dish is simply a circle; thus, we use the formula of the area of the circle which is <span>πr^2.
Given r = 40 mm
A = </span>π(40)^2 = <span>5026.55 sq. mm
</span>
Population density = bacteria count / area
PD = 2,100 / <span>5026.55
PD = </span><span>0.417782 bacteria / mm sq.
Therefore, the answer is approximately 0.418 </span><span>bacteria per square millimeter.</span>
Answer:
The exponential equation is;
F = 30,000(1.01)^30
The value is;
$40,435.50
Step-by-step explanation:
Here, we are to write an exponential equation
Exponential equations generally take the form;
F = I(1 + r)^t
where F is the future value
I is the initial value
r is the growth percentage
t is the time
with respect to the question;
F = ?
I = 3,000
t = 30
r = 10% = 10/100 = 0.1
Writing the equation, we have
F = 30,000(1.+ 0.1)^30
F = 30,000(1.01)^30
F = $40,435.50
Solutions
Factor <span>3x</span>²<span><span>−2x−8</span><span>
</span></span>1. Multiply 3 by -8, which is -24.
2. Ask: Which two numbers add up to -2 and multiply to -24?
3. Answer: 4 and -6
4. Rewrite <span>−2x </span>as the sum of <span>4x </span>and <span>−6x</span>:

<span>
</span><span>Factor out common terms in the first two terms, then in the last two terms
</span>
Factor out the common term <span>3x+4
</span>
Solve for <span>x
</span>1. Ask: When will <span>(3x+4)(x−2) </span>equal zero?
2. Answer: When <span>3x+4=0 </span>or <span>x−2=0.</span>
3. Solve each of the 2 equations above:
x = −<span>4 / 3</span>,<span>2</span>
Answer:
1. -8 feet= 8 feet
-2 feet= 2 feet
2. Jordin’s balance is a debt of MORE than 27$
3. Dinah had the greatest DECREASE in weight, with losing 1.4 pounds.
Hope this helps hun! Good Luck!
Answer:
(0, 1)
Step-by-step explanation:
y - 4x = 1 crosses the y-axis at (0, 1)