A:
Table 1:
f(x) = 8x
X= cups so
ounces =
8* # of cups
Table 2:
f(x) =16x
X= pints so
ounces =
16*# of pints
Table 3:
f(x)= 32x
X= quarts so
ounces=
32*# of quarts
Note: another way instead of f(x)=kx is y=kx
B:
Depending on the slope we can easily find which is the steepest slope by easily comparing the slopes and seeing which is greater.
T1: 8
T2: 16
T3: 32
So, looking at our slopes, table 3 has the greatest slope because it has the greater slope out of the other two.
C:
The phrase, "rate of change" is another way to say the slope. To list again,
T1: 8
T2: 16
T3: 32
The table with the smallest slope would be table 1 since it is less than the other two tables.
I hope that helps, if you need any more assistance or you have any questions, please feel free to ask!!
Answer:
The height of right circular cone is h = 15.416 cm
Step-by-step explanation:
The formula used to calculate lateral surface area of right circular cone is: 
where r is radius and h is height.
We are given:
Lateral surface area s = 236.64 cm²
Radius r = 4.75 cm
We need to find height of right circular cone.
Putting values in the formula and finding height:

So, the height of right circular cone is h = 15.416 cm
Answer:
Step-by-step explanation:
a). Stock price arranged as arithmetic sequence will be,
5, 8, 11, 14
b). Since, explicit formula of an arithmetic sequence is given by,

Here,
= nth term of the sequence
a = first term
n = number of term
d = common difference
From the table attached,
First term of the sequence 'a' = 5
Common difference 'd' = 8 - 5 = 3
Therefore, explicit formula for the given sequence will be,


c). Slope intercept form of the equation will be,
y = 3x + 2
d). Input out values for the graph of the given equation,
x 0 1 2 3
y 2 5 8 11
By using this data we can graph the line.
They don't come out even.
As rounded decimals, the two numbers are
<em>5.54138...</em> and <em>-0.54138...</em>
Answer:
y = 2
Step-by-step explanation:
y varies inversely with x setup is:
y = k/x
7 =
(find 'k')
k = 7/1 · 2/3
k = 14/3
use what you know about 'k' and 'x' to solve for 'y'
y = 14/3 ÷ 7/3 (remember to multiply by the reciprocal when dividing fractions)
y = 14/3 · 3/7
y = 2