In the case of bacteria, we use the continuous growth equation:
Final=Initial×e∧(r×t)
In other words, the final amount is equal to the initial amount times e to the rate times time. In order to find your rate, you would plug in the numbers as follows:
3600=3000×e∧(6r)
Therefore: r=0.03
Next, you would plug in the r value and 13 hours into the equation to solve for the final amount.
F=3000×e∧(13×0.03)=4,453 bactera after 13 hours
Answer:
b
Step-by-step explanation:
its 48 square centimeters 6•8=48
Answer:
g(x) is the image of f(x) after stretched horizontally by scale factor = 4
Step-by-step explanation:
The statement that best compares the graph of g(x) with the graph of f(x) says g(x) is the image of f(x) after stretched horizontally by scale factor = 4 because:
Given the function
f(x) = x² and g(x) = (1/4x)² the image of f(x) after one transformation.
The transformation shows that g(x) stretches away from y-axis.
Since the transformation is stretched horizontally. So g(x) is the image of f(x) after stretched horizontally by scale factor (I.e. by 1).
Then we use the scale factor to divide g(x)
1 ÷ ¼ = 1 x 4/1 = 4
So therefore, g(x) is the image of f(x) after stretched horizontally by scale factor = 4
Answer:
x = 1.02564
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
35 + 0.8x = 43 - 7x
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Addition Property of Equality] Add 7x on both sides: 35 + 7.8x = 43
- [Subtraction Property of Equality] Subtract 35 on both sides: 7.8x = 8
- [Division Property of Equality] Divide 7.8 on both sides: x = 1.02564
Chandra will have 55 baseball cards
Step-by-step explanation:
Total baseball cards = 152
Let
Chandra's collection = p
Chandra has 42 baseball cards less than Simon so Simon will have 42 cards more:
Simon's Collection = p+42
We need to find Chandra's collection.
Total baseball cards will be 152 so, the equation will be:

Solving and finding value of p (Chandra's card)

So, Chandra will have 55 baseball cards.
Keywords: Word Problems
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