What is the value of the expression 9 + ( fraction 1 over 2 )4 ⋅ 48? (1 point)

Mathematics

1 answer:

jek_recluse [69]2 years ago

5 0

Answer:

A. 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Step-by-step explanation:

Step 1: Define

9 + (1/2)⁴ · 48

Step 2: Evaluate

Exponents: 9 + 1/16 · 48
Multiply: 9 + 3
Add: 12

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Can someone find the expression for h in terms of x.

PilotLPTM [1.2K]

The volume of the cylinder is equal to the sum of all spheres
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simplified V1=1/6×pi×x²
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also the V2 can be calculated from the cylinder
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3 years ago

Which point is in the solution set of the given system of inequalities 3x+y>-3,x+2y<4

Dima020 [189]

Step 1. Solve both inequalities for $y$ :
$3x+y\ \textgreater \ -3$
$y\ \textgreater \ -3x-3$

$x+2y\ \textless \ 4$
$2y\ \textless \ -x+4$
$y\ \textless \ - \frac{1}{2} x+2$

Step 2. To check a point in the solution of the given system of inequalities, look for the intercepts of the lines $-3x-3$ and $- \frac{1}{2} x+2$ :

$y=-3x-3$ (1)
$y=- \frac{1}{2} x+2$ (2)

Replace (1) in (2):
$-3x-3=- \frac{1}{2} x+2$
Solve for $x$ :
$\frac{5}{2} x=-5$
$x=-2$ (3)

Replace (3) in (1):
$y=-3x-3$
$y=-3(-2)-3$
$y=6-3$
$y=3$

We can conclude that the point (-2,3) is in the solution of the system if inequalities; also any point inside the dark shaded area of the graph of the system of inequalities is also a solution of the system.