Answer:
The greatest common factor is 4
Step-by-step explanation:
1.Find the prime factorization of 12
a) 12 = <u>2</u> × <u>2</u> × 3
2.Find the prime factorization of 196
a) 196 =<em> </em><u>2</u> ×<u> 2</u> × 7 × 7
To find the GCF, multiply all the prime factors common to both numbers:
a)GCF=2x2
Therefore, GCF = 2 × 2
GCF = 4
Answer:
The velocity of the particle will be zero for t = 1.47 sec .
Step-by-step explanation:
Given equation:
a(t)=t+sin(t)
lets integrate it with respect to time,
∫ a(t) dt = ∫(t+sin(t)) dt
⇒ v(t) = - cos(t) +c
At, t=0, v= -2 so,
⇒ -2 = 0 - 1 +c
⇒ c= -1
Hence,
v(t) = - cos(t) -1
for the velocity to be zero,
0 = - cos(t) -1
⇒ t = 1.47 sec (taking only positive value)
So at 1.47 sec the velocity of particle will be zero.
Answer:
The area of the pool increasing at the rate of 653.12 when the radius is 13 cm
Step-by-step explanation:
Given:
radius of the pool increases at a rate of 8 cm/min
To Find:
How fast is the area of the pool increasing when the radius is 13 cm ?
Solution:
we are given with the circular pool
hence the area of the circular pool =
A =-----------------------------(1)
The area of the pool os increasing at the rate of 8 cm/min, meaning that the arae of the pool is changing with respect to time t
so differentiating eq (1) with respect to t , we have
we have to find with = 8 cm/min and r = 13cm
substituting the values
Answer:
3/4
Step-by-step explanation:
Answer: The company will recognize commission expense in the amount of $2,400 in December
Step-by-step explanation:
Based on the information given in the question, the company will recognize commission expense in the amount of $2,400 in December.
A commission is regarded as a fee which is paid to a salesperson by a company in exchange for completing a sale.
It should be noted that in the accrual basis of accounting, commission should be recorded in the same period as when the sale generated was generated.