Answer:
The correct option is B.
Step-by-step explanation:
The given equation is
This equation represent the number of open blossoms in a nursery after x hours.
At initial the number hours is 0.
Substitute x=0 in the given equation.
The initial value is 3, it means there were three blossoms open at dawn. Option B is correct.
Answer:
19y - 9
Step-by-step explanation:
We can use the acronym PEMDAS. First, we need to calculate -3(-4y+3) by distributing. This is -3 * (-4y) + (-3) * 3 = 12y - 9 so the expression becomes 12y - 9 + 7y. Next, we need to combine like terms. 12y and +7y are like terms since they both have y so combining them gives us 12y + 7y = 19y. -9 stays by itself since there are no other constants so the final answer is 19y - 9.
Answer: 18 ≤ 6*S ≤ 30
Where S is the number of salmon fillets in one single package.
Step-by-step explanation:
Let's define S as the number of salmon fillets in one package.
We know that it contains at least 3, and no more than 5, then we can write:
3 ≤ S ≤ 5
Now we want to know the total number of salmon fillets that could be on 6 packages, then if S is the number of salmon fillets in one package, 6*S will e the number of salmon fillets in 6 packages.
We can find this by multiplying the inequality:
3 ≤ S ≤ 5
by 6.
We get:
6*3 ≤ 6*S ≤ 6*5
18 ≤ 6*S ≤ 30
Then in 6 packages, we could have any number between 18 and 30 fillets of salmon.
Answer:
area of the sector = 360π cm²
Step-by-step explanation:
To calculate the area of the sector, we will follow the steps below;
First write down the formula for calculating the area of a sector.
If angle Ф is measured in degree, then
area of sector = Ф/360 × πr²
but if angle Ф is measured in radians, then
area of sector = 1/2 × r² × Ф
In this case the angle is measured in radiance, hence we will use the second formula
From the question given, radius = 15 cm and angle Ф = 8π/5
area of sector = 1/2 × r² × Ф
=1/2 × 15² × 8π/5
=1/2 ×225 × 8π/5
=360π cm²
area of the sector = 360π cm²
Split up the interval [0, 8] into 4 equally spaced subintervals:
[0, 2], [2, 4], [4, 6], [6, 8]
Take the right endpoints, which form the arithmetic sequence
where 1 ≤ <em>i</em> ≤ 4.
Find the values of the function at these endpoints:
The area is given approximately by the Riemann sum,
where 
; so the area is approximately
where we use the formulas,
