Answer:
Step-by-step explanation:
Given the vectors based on the number line as RS = 7y +3, ST = 5y +8, and RT = 83, the equation RS+ST = RT will be used to get the unknown.
Substituting the given equation into the expression we will have;
7y +3+5y +8 = 83
collect like terms'
7y+5y+3+8 = 83
12y + 11 = 83
12y = 83-11
12y = 72
y = 72/12
y = 6
b) Substitute y = 6 into RS and ST
Given RS = 7y+3
RS = 7(6)+3
RS = 42+3
RS = 45
For ST;
ST = 5y+8
ST = 5(6)+8
ST = 30+8
ST = 38
X^-6
You can find the derivative:
-6x^ -7
Answer:
4%
Step-by-step explanation:
Formula for volume of a right rectangular prism is;
V = lwh
Where;
l is length
w is width
h is height
We are given l = 367; w = 24; h = 19
Thus;
Volume is;
V_full = 367 × 24 × 19
V_full = 167352 in³
We are told that Alex filled the aquarium with 6039 in³ of water.
Thus, percentage of the aquarium filled with water is;
(6039/167352) × 100% = 3.61%
Approximating to nearest percent gives; 4%
Answer:
x = 10
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
- Subtract Property of Equality
<u>Geometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse
Step-by-step explanation:
<u>Step 1: Identify</u>
Leg <em>a</em> = 8
Leg <em>b</em> = 6
Hypotenuse <em>c</em> = <em>x</em>
<em />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [PT]: 8² + 6² = x²
- Exponents: 64 + 36 = x²
- Add: 100 = x²
- Isolate <em>x</em>: 10 = x
- Rewrite: x = 10
