828.6 repeating (or 829 rounded up) feet per second.
The first step for solving this expression is to insert what a and b stand for into the expression. This will change the expression to the following:
2(2)(4)³ + 6(2)³ - 4(2)(4)²
Now we can start solving this by factoring the expression
2(2 × 4³ + 3 × 2³ - 4 × 4²)
Write 4³ in exponential form with a base of 2.
2(2 ×

+ 3 × 2³ - 4 × 4²)
Calculate the product of -4 × 4².
2(2 ×

+ 3 × 2³ -4³)
Now write 4³ in exponential form with a base of 2.
2(2 ×

+ 3 × 2³ -

)
Collect the like terms with a base of 2.
2(

+ 3 × 2³)
Evaluate the power of 2³.
2(

+ 3 × 8)
Evaluate the power of

.
2(64 + 3 × 8)
Multiply the numbers.
2(64 + 24)
Add the numbers in the parenthesis.
2 × 88
Multiply the numbers together to find your final answer.
176
This means that the correct answer to your question is option A.
Let me know if you have any further questions.
:)
Answer:
1. B
2. B
Step-by-step explanation:
1. Three points are collinear if they lie on the same line. The diagram shows two triples of points that lie on the same line:
- points B, C and D;
- points A, C and E.
Thus, option B is true.
2. Another way to name the plane is to select three points which do not lie on the same line and write them consequently. As you can see from the diagram, points B, F and D lie on the plane M, but do not lie on the same line. Thus, another way to name plane M is BFD.
Answer:75
Step-by-step explanation:
45÷60%×100%=75 points in total
Question:
(a) How many bacteria would be found in 24 hours
(b) How many bacteria would be found in 2 days
(c) How long for 1000 bacteria to be found
Answer:
(a) 282429536481 bacteria
(b)
bacteria
(c) 6 days
Step-by-step explanation:
The question illustrates an exponential function

Where

--- i.e. triples

Solving (a): Bacteria in 24 hours
In this case:

Substitute
,
and 
So:



bacteria
Solving (b): Bacteria in 2 days

So:

Substitute
,
and 
So:


bacteria
Solving (c): How long for 1000 bacteria
In this case:

Substitute
,
and 
So:



Take Log of both sides

This gives:

Make x the subject


<em>Hence: It takes 6 days</em>