Answer:
1/15 yard.
Step-by-step explanation:
I got this by dividing the whole 2/3 of licorice with 10 pieces to get 2/30 (2/3 divided by 10, which eventually becomes 2/3 multiplied by 1/10 to equal 2/30). Then, you simplify it to 1/15. So, each piece would be 1/15 of a yard long.
The price of car is $18000
Step-by-step explanation:
Given
Sales tax on car = $1080
Rate = 6%
Let x be the price of the car
We know that as the rate of sale tax is 6%, 6% of x is 1080
Using mathematical notation
0.06x = 1080
Dividing both sides by 0.06
Hence,
The price of car is $18000
Keywords: Rate of tax, Percentage
Learn more about percentae at:
#LearnwithBrainly
Answer:
B. The vectors v and w are orthogonal because their dot product is <u> 0 </u>
Step-by-step explanation:
Given that :
v= - i - j
w= - i + j
Therefore;
vw = ( - i - j ) ( - i + j )
Taking each set of integer of the vector into consideration:
vw = ( -1 × - 1) ( -1 × 1)
vw = 1 - 1
vw = 0
Hence, we can conclude that :
The vectors v and w are orthogonal because their dot product is <u> 0 </u>
Answer:
(A) 2/3 [√(4-4x)]^3
(B) 2/3 [√(4-x)]^3
Step-by-step explanation:
Integrating the functions,
(A) Any function in square root is equal to or same as the function raised to the power of 1/2
To integrate, add 1 to the power of the function. That's 1/2 + 1 = 3/2
Divide the function by this new power 3/2. This implies multiplying the function by the inverse of 3/2. The inverse of 3/2 is 2/3.
Also, when a function is raised to the power of a fraction instead of a whole number, you take the 'denominator' root of the function, and then raise the function to the power of the numerator.
Here, the denominator is 2, so you take the square root of the function, and raise the function to the power of 3
So the integral of Y = √[4-4x] is
2/3 [√(4-4x)]^3
(B) In like manner, the integral of
Y = √[4-x] is
2/3 [(√4-x)]^3
Answer:
The answer is C (2:1)
Step-by-step explanation:
1. The greatest common factor of 8 and 4, is 4. We need to divide both numbers by the GCM, 4.
8 / 4 = 2
4 / 4 = 1
Therefore, the answer is 2:1 (C)
