Answer:
SA = 300 cubic yards
Step-by-step explanation:
SA = 12(5) + 8(12 + 13 + 5)
Answer:
8 seconds
Step-by-step explanation:
Given :
h(t) = -16t2 + initial height
Initial height = 1024 feets
By the time it hits the ground, h(t) = 0
Equation becomes :
0 = - 16t² + 1024
Solve for t
-16t² = 1024
t² = 1024 / -16
t² = 64
t = √64
t = 8
Hence, it will take 8 seconds
The given polynomial expressed as partial fraction is 5x^3 + 9/x
<h3>Polynomial function and partial fractions</h3>
Polynomial function are function that have a leading degree of 3. Given the expression below;
f(x) = (5x^4+9)/x
Applying partial fraction
Since the part fraction means separating the fraction into two parts, hence;
f(x) = 5x^4/x + 9/x
Simplify
Since there is value of x at both numerator and denominator, it will cancel out to have
f(x) = 5x^3 + 9/x
From the result, we can see that p(x) = 5x^3 and k = 9
Hence the given polynomial expressed as partial fraction is 5x^3 + 9/x
Learn more on polynomial here: brainly.com/question/2833285
#SPJ1
Answer:
The margin of error is multiplied by 
Step-by-step explanation:
margin of error (ME) from the mean can be calculated using the formula
ME=
where
- z is the corresponding statistic of the given confidence level
- s is the standard deviation of the sample (or of the population if it is known)
Since margin of error is proportional with inverse of 
,
if we cut the sample size in half, the margin of error is multiplied by .
For this case, what we should do is use the given equation.
We have then:
trade discount = rate × list price
Where,
list price = 1000 $
rate = 20 * (1/100) = 0.2
Substituting values we have:
trade discount = (0.2) * (1000)
trade discount = $ 200
Answer:
The amount of the discount is $ 200
