Answer:
55 m/s
Step-by-step explanation:
average velocity
Answer:
The answer to your question is
Step-by-step explanation:
Process
1.- Find two points of the line (red points)
A ( 4, -5) and B (- 3 , -1)
2.- Find the slope using the formula
Substitution
B. –2.06
C. 1.18
D. 0.35
Answer:
A.
Step-by-step explanation:
We want to find the Z-score of if the population mean is ,and the population standard deviation is .
We use the formula:
We substitute the values to obtain:
The correct answer is A.
5 inches
9 inches
10 inches
The length of the side of the original cube in the given scenario is 5 inches.
A cube is a three-dimensional figure with equal sides.
Given that
The length of the edge of a cube = x
Also, one of the sides is increased by 4 inches, and another side is doubled,
so, now the new dimensions are x, x+4, 2x, and the shape is a rectangular prism.
The area of the rectangular prism = 450 sq. inches
base × height × length = 450 sq. inches
x × (x + 4) × 2x = 450
2x³ + 8x² = 450
2x³ + 8x² - 450 = 0
x³ + 4x² - 225 = 0
Substitute x=5 to see that it is a root of the equation,
5³ + 4(5)² - 225 = 125 + 100 - 225 = 0
So, x - 5 is a factor of the equation,
Now,
x³ + 4x² - 225 = (x−5)(x² + 9x + 45) = 0
The roots of the quadratic equation are imaginary as
D = 9² - 4 × 1 × 45 = 81 - 180 = -99
The discriminant is negative, therefore, the roots are not real.
So, the length of the side of the original cube is 5 inches.
Learn more about Cubes here:
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Answer:
the answer in the blank is 9
Step-by-step explanation: