Answer:
Radius r=0.30m, Velocity, v=36m/s
(a) angular speed w=
r
v
=
0.3
36
=120rad/s
(b) final angular speed w
′
=0
From rotational kinematics w
′
2
−w
2
=2αθ
0−14400=2α×40×2π
⇒α=
160π
−14400
=−28.6rad/s
2
'Distance covered
=40×2πr
=40×2π×0.3=75.39m
Answer:
7 children
Step-by-step explanation:
$505-$115= $390
$390÷$65= 6
6+1= 7
Answer:
The y intercept is (0,-8)
Step-by-step explanation:
To find the y intercept, set x = 0 and solve for y
-4x -2y = 16
-4(0) -2y =16
-2y = 16
Divide by -2
-2y/-2 = 16/-2
y = -8
The y intercept is (0,-8)
Answer:
x = 1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
3(4x - 5) - 4x + 1 = -6
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 3: 12x - 15 - 4x + 1 = -6
- Combine like terms: 8x - 14 = -6
- Isolate <em>x</em> term: 8x = 8
- Isolate <em>x</em>: x = 1
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 3(4(1) - 5) - 4(1) + 1 = -6
- Multiply: 3(4 - 5) - 4 + 1 = -6
- Subtract: 3(-1) - 4 + 1 = -6
- Multiply: -3 - 4 + 1 = -6
- Subtract: -7 + 1 = -6
- Add: -6 = -6
Here we see that -6 does indeed equal -6.
∴ x = 1 is the solution to the equation.
Answer:
t≥-25
Step-by-step explanation:
this is becuaset ≥ -25 shows that it can not fall under -25, but can be equal to -25.
