Answer:
The correct answer is -9.73°.
Step-by-step explanation:
The procedure is:
sin(x + 34)°=cos(2x+20)°
⇒ tan
= 1 ; [assuming cos (2x+20)°
0]
⇒ x + 34 = 45 × ( 2x +20)
⇒ x + 34 = 90x + 900
⇒ 89x = -866
⇒ x = -9.73
and also 2x + 20 = 90° ⇒ x = 35°; but this does not satisfy the given equation.
Therefore the value of x is given by -9.73°.
Answer:
2) B. as x increases, y increases as well
3) C. Number of books owned and number of visits to the doctor's office in one year
4) D. The 90 minute lesson that cost $40
5) A. There is a strong correlation
Step-by-step explanation:
2) i am not 100%positive since there is no way to check my answer, but i believe it is "B. As x increases, y increases as well" because it highlights the correlation between x and y.
(i already explained 3, 4, and 5 on another one :D)
Answer:
for the first one it would be y=3x-4 the second one is y=x-3
Step-by-step explanation:
graph the one with the x behind it one the x axis and the one without a letter on the y axis
Since the carton can hold 1000 units of the cubes.
Each unit of cube = 1inch * 1inch *1inch = 1inch³
Total volume = 1000 * 1inch³ = 1000 inch³
To get the dimension: The carton would take the shape of a cube.
Let each side be x.
x*x*x = 1000
x³ = 1000 Take the cube root of both sides.
∛x³ = ∛1000
x = 10
The dimension of the carton is 10 inches by 10 inches by 10 inches
Outcome on winning = $100 - $20 = $80
Outcome on losing = $20
Probability of winning = 1/6
Probability of losing = 5/6
Expected Value = 1/6 (80) +5/6(-20) = -3.333
This shows on average from each game, the game earns $ 3.333.
So, if 1000 such games are played, the game will earn 1000 x 3.33 = $3330
So, the answer to this question is option A