Answer:
The pattern is the same when multiplying a whole number and a decimal number by a power of ten.
Step-by-step explanation:
The pattern to use when multiplying a whole number by a power of ten can be expressed as follow:
A whole number is a number without a fraction, so let say we choose 12 as a whole number, and let choose 6¹⁰ as a number with the power of ten.
To multiply these two numbers, we get;
= 12 × 6¹⁰
= 12 × 60466176
= 725594112
Now, the pattern to use when multiplying a decimal by a power of ten.
A decimal number is a number that comprises of a whole number and a fraction number that is being by a decimal point.
Let say our decimal number is 1.2 and our number raised to the power of ten is 6¹⁰
Then, To multiply these two numbers, we get;
= 1.2 × 6¹⁰
= 1.2 × 60466176
= 72559411.2
Thus, the pattern is the same when multiplying a whole number and a decimal number by a power of ten.
Answer:
A = ≈4.17 ft²
Step-by-step explanation:
Even though the problem deals with shapes and area, we can use algebra to solve for the missing area of Square C. Gven the following formulas:
A (square) = s², where s = the measure of one side
A (rectangle) = l x w, where l = length and w = width
We can set up equations to solve for the side length of Square C to find the area. Since the area of Square A = 6 ft²:
A = 6 or 6 = s² so √6 = √s² or s = √6
So, the length of Rectangle B is √6 and the area = 5 ft², so we can solve for 'w', which is also the side length of Square C:
A = 5 ft² or 5 = l x w so 5 = √6w and w = 5/√6
Lastly, find the area of Square C:
A = s² or A = (5/√6)(5/√6) or area = ≈4.17 ft²
Answer:
256 quarts remain.
Step-by-step explanation:
.8x320=256
Answer:
f(x) = 2x² - 12x + 14
General Formulas and Concepts:
<u>Algebra I</u>
- Standard Form: f(x) = ax² + bx + c
- Vertex Form: f(x) = a(x - h)² + k
Step-by-step explanation:
<u>Step 1: Define function</u>
Vertex Form: f(x) = 2(x - 3)² - 4
<u>Step 2: Convert to Standard Form</u>
- Expand by FOILing: f(x) = 2(x² - 6x + 9) - 4
- Distribute 2: f(x) = 2x² - 12x + 18 - 4
- Combine like terms: f(x) = 2x² - 12x + 14
And we have our final answer!