A : 10000 J
B: 625 J
C: 2500 J
Step-by-step explanation:
Step 1:
We know that ,
Kinetic Energy is given by ((1/2) × m × V²) J
where m = Mass of substance
V = Velocity
Step 2:
In first case, m= 50 kg, V=20 m/s
Kinetic energy = 0.5 × 50 × 20 ×20
= 10000 J
In second case, m= 50 kg, V=20 m/s
Kinetic energy = 0.5 × 50 × 5 ×5
= 625 J
In Third case, m= 50 kg, V=10 m/s
Kinetic energy = 0.5 × 50 × 10 ×10
= 2500 J
Answer:
8
Step-by-step explanation:
to find the answer, subtract the second amount (2) from the first amount (-6), -6 - 2 = -8, the temperat decreased by 8
Answer:
C
Step-by-step explanation:
In this kind of problem the only thing you have to do is distribute all of the solution to see which one does not end up the same as the original.
<span>the question does not present the picture, but this
does not interfere with the resolution. </span>
Reading the question it is obvious that the blue region lies inside the larger square and outside the smaller square.
The region between the two squares is the blue region.
Step 1
Find the area of both squares.
Area of larger square = 8 x 8 = 64 in²
Area of smaller square = 2 x 2 = 4 in²
Subtracting the area of smaller square from larger one, we can find the area of blue square and further we can find the said probability.
Area of blue region = 64 - 4 = 60 in²
The probability that a randomly chosen point lies within the blue region = Area of blue region/Total area available
Therefore,
the probability that a point chosen at random is in the blue region
= 60/64 -------> 0.9375
the answer is
0.9375
Answer:
9. a = -7
10. 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>
a + 6a - 14 = 3a + 6a
<u>Step 2: Solve for </u><em><u>a</u></em>
- Combine like terms: 7a - 14 = 9a
- Subtract 7a on both sides: -14 = 2a
- Divide 2 on both sides: -7 = a
- Rewrite: a = -7
<u>Step 3: Check</u>
<em>Plug in a into the original equation to verify it's a solution.</em>
- Substitute in <em>a</em>: -7 + 6(-7) - 14 = 3(-7) + 6(-7)
- Multiply: -7 - 42 - 14 = -21 - 42
- Subtract: -49 - 14 = -63
- Subtract: -63 = -63
Here we see that -63 is equal to -63.
∴ a = -7 is a solution of the equation.
<u>Step 4: Define equation</u>
-12 - 4x = 8x + 4(1 - 7x)
<u>Step 5: Solve for </u><em><u>x</u></em>
- Distribute 4: -12 - 4x = 8x + 4 - 28x
- Combine like terms: -12 - 4x = -20x + 4
- Add 20x on both sides: -12 + 16x = 4
- Add 12 on both sides: 16x = 16
- Divide 16 on both sides: x = 1
<u>Step 6: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: -12 - 4(1) = 8(1) + 4(1 - 7(1))
- Multiply: -12 - 4 = 8 + 4(1 - 7)
- Subtract: -16 = 8 + 4(-6)
- Multiply: -16 = 8 - 24
- Subtract: -16 = -16
Here we see that -16 does indeed equal -16.
∴ x = 1 is a solution of the equation.
