Answer:
a1 = 6
a2 = 15
a3 = 24
a4 = 33
Step-by-step explanation:
Let k =1
a1 =-3 +9(1) = -3 +9 = 6
Let k = 2
a2 = -3 +9(2) =-3+18 = 15
Let k =3
a3 =-3 +9(3) = -3 +27 = 24
Let k = 4
a4 = -3 +9(4) =-3+36 = 33
Answer:
Getting through ratio method
100-20=80 percent have to pay
18:80
<em>x</em>:100
cross multiply
80 x <em>x=1</em>8 x 100
80x=1800
x=1800/80
x=22.5
So the original price was $22.50
Step-by-step explanation:
Answer:
The upper quartile is 6.
Step-by-step explanation:
FIrst, I found the median of the data, which is 4. Then, I determined the median of the upper half of the data, which is 6. The median of the upper half of the data is known as the upper quartile.
Answer:
a). 59.049°C
b). 2.1179 seconds
Step-by-step explanation:
Expression representing the final temperature after decrease in temperature of the metal from 100°C to T°C is,
T = 
where x = duration of cooling
a). Temperature when x = 5 seconds
T = 100(0.9)⁵
= 59.049
≈ 59.049°C
b). If the temperature of the metal decreases from 100°C to 80°C
Which means for T = 80°C we have to calculate the duration of cooling 'x' seconds
80 = 
0.8 = 
By taking log on both the sides
log(0.8) =log[
]
-0.09691 = x[log(0.9)]
-0.09691 = -0.045757x
x = 
x = 2.1179
x ≈ 2.1179 seconds
Answer:
<EFD= 47.5°
<CFD=47.5°
Step-by-step explanation:
Seeing that 85° is already there and it would be an opposite angle to <BFC all you would have to do is subtract that 85° from 180° because that's the angle of a straight line. then when you get 95° you divide it by 2.