The numbers to complete the pattern are 125, 216, 343.
The complete pattern is 1, 8, 27, 64, 125, 216, 343.
Hope this helps.
Answer:
x> 5/4
Step-by-step explanation:
9<4(x+9)−7−25
Step 1: Simplify both sides of the inequality.
9<4x+4
Step 2: Flip the equation.
4x+4>9
Step 3: Subtract 4 from both sides.
4x+4−4>9−4
4x>5
Step 4: Divide both sides by 4.
4x/4>5/4
x>5/4
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The acceleration of the object will be 10 m/s²
Step-by-step explanation:
Direct variation is a relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other
- If y varies directly with x, then y ∝ x
- y = k x, where k is the constant of variation
For a moving object, the force acting on the object varies directly with the object's acceleration.
Assume that the force is F and the acceleration is a
∵ F ∝ a
∴ F = k a
∵ F = 20 newtons
∵ a = 4 m/s²
- Substitute these values in the equation above to find k
∵ 20 = k (4)
∴ 20 = 4 k
- Divide both sides by 4
∴ k = 5
- Substitute the value of k in the equation
∴ F = 5 a ⇒ equation of variation
∵ F = 50 Newtons
∵ F = 5 a
∴ 50 = 5 a
- Divide both sides by 5
∴ 10 = a
∴ a = 10 m/s²
The acceleration of the object will be 10 m/s²
Learn more:
You can learn more about variation in brainly.com/question/10708697
#LearnwithBrainly
Answer:
5
Step-by-step explanation:
I hope this helps you out!
You should have an angle of elevation of 30 degrees.
