Answer: 800 feet²
Step-by-step explanation:
Lets remove the brackets from the function's expression
A(x) = -2x²+80x
So we got the quadratic function and we have to find the x that corresponds to function's maximum. Let it be X max
As we know Xmax= (X1+X2)/2 , where X1 and X2 are the roots of the function A(x)
Lets find X1 and X2
x(80-2x)=0
x1=0 80-2*X2=0
x2=40
So Xmax= (0+40)/2=20
So Amax= A(20)= 20*(80-2*20)=20*40=800 feet²
The given expression 2^8 * 8^2 * 4^-4 can be written in the exponential form 2^n as 2^6.
<h3>What are exponential forms?</h3>
The exponential form is a more convenient way to write repetitive multiplication of the same integer by using the base and its exponents.
<u>For example:</u>
If we have a*a*a*a, it can be written in exponential form as:
=a^4
where
- a is the base, and
- 4 is the power.
The power in this format reflects the number of times we multiply the base by itself. The exponent is also known as the index or power.
From the information given:
We can write 2^8 * 8^2 * 4^-4 in form of 2^n as follows:
Therefore, we can conclude that by using the exponential form, the given expression 2^8 * 8^2 * 4^-4 in the form 2^n is 2^6.
Learn more about exponential forms here:
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Answer:
x = 14
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Geometry</u>
- Congruency
- All angles in a triangle add up to 180°
Step-by-step explanation:
<u>Step 1: Define</u>
3(x + 7)° = 63°
3(x + 7)° + 63° + y° = 180°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Divide 3 on both sides: x + 7 = 21
- Subtract 7 on both sides: x = 14
Answer:
B. 17
Step-by-step explanation:
By the property of intersecting secants outside of a circle, we have:
7 (7 + x) = 8 (13 + 8)
49 +7x = 8*21
7x = 168 - 49
7x = 119
x = 119/7
x = 17
If they are similar they are by a ration of 1:2 but you dont know all the angles or all the sides.
