Answer:
4
Step-by-step explanation:
because 32 divided by 8 = 4
Discrete random variable as we count the number of free dash throw attempts and we dont measure them (continuous)
Step-by-step explanation:
![\sqrt{4 \times 9 \times 16} = \sqrt{4} \times \sqrt{9} \times \sqrt{16} = 2 \times 3 \times 4 = 24](https://tex.z-dn.net/?f=%20%5Csqrt%7B4%20%5Ctimes%209%20%5Ctimes%2016%7D%20%20%3D%20%20%20%5Csqrt%7B4%7D%20%20%5Ctimes%20%20%20%5Csqrt%7B9%7D%20%20%5Ctimes%20%20%5Csqrt%7B16%7D%20%20%3D%202%20%5Ctimes%203%20%5Ctimes%204%20%3D%2024)
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:
HERE IS YOUR ANSWER
Step-by-step explanation:
Use the mirror equation:
1/di + 1/do = 1/f
where di = -10 cm and f = +15 cm. (Note that di is negative if the image is virtual.)
Substitute and solve for do.
1/do + 1/(-10 cm) = 1/(15 cm)
1/do = 1/(15 cm) - 1/(-10 cm) = 5/(30 cm)
do = 6 cm
Hope it helps you
Regards,
Rachana