Answer:
1/2
Step-by-step explanation:
2/3 - 1/6
Get a common denominator of 6
2/3 *2/2 - 1/6
4/6 - 1/6
3/6
Simplify
1/2
About A. 25 grams because glasses are really not heavy at all and the other options are way too illogical.
Hope this helps!
The situation can be modeled by a geometric sequence with an initial term of 284. The student population will be 104% of the prior year, so the common ratio is 1.04.
Let \displaystyle PP be the student population and \displaystyle nn be the number of years after 2013. Using the explicit formula for a geometric sequence we get
{P}_{n} =284\cdot {1.04}^{n}P
n
=284⋅1.04
n
We can find the number of years since 2013 by subtracting.
\displaystyle 2020 - 2013=72020−2013=7
We are looking for the population after 7 years. We can substitute 7 for \displaystyle nn to estimate the population in 2020.
\displaystyle {P}_{7}=284\cdot {1.04}^{7}\approx 374P
7
=284⋅1.04
7
≈374
The student population will be about 374 in 2020.
Answer:
Question 1: The hours that will pass between two consecutive times, when the water is at its maximum height is π hours
Question 2: Sin of the angle is -0.8
Step-by-step explanation:
Question 1: Here we have h(t) = 4·cos(t) + 10
The maximum water level can be found by differentiating h(t) and equating the result to zero as follows;
∴ sin(t) = 0
t = 0, π, 2π
Therefore, the hours that will pass between two consecutive times, when the water is at its maximum height = π hours.
Question 2:
B = (3, -4)
Equation of circle = x² + y² = 25
Here we have
Distance moved along x coordinate = 3
Distance moved along y coordinate = -4
Therefore, we have;
Sinθ = sin(-53.13) = -0.799≈ -0.8.
Answer:
d = 40.44
Step-by-step explanation:
Simplifying
25.14 = d + (-15.3)
25.14 = d + -15.3
Reorder the terms:
25.14 = -15.3 + d
Solving
25.14 = -15.3 + d
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '-1d' to each side of the equation.
25.14 + -1d = -15.3 + d + -1d
Combine like terms: d + -1d = 0
25.14 + -1d = -15.3 + 0
25.14 + -1d = -15.3
Add '-25.14' to each side of the equation.
25.14 + -25.14 + -1d = -15.3 + -25.14
Combine like terms: 25.14 + -25.14 = 0.00
0.00 + -1d = -15.3 + -25.14
-1d = -15.3 + -25.14
Combine like terms: -15.3 + -25.14 = -40.44
-1d = -40.44
Divide each side by '-1'.
d = 40.44
Simplifying
d = 40.44
