Answer:
49 cm²
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = s³ ← s is the length of the side, thus
s³ = 343 ( take the cube root of both sides )
s = ![\sqrt[3]{343}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B343%7D)
= 7, thus
area of base = s² = 7² = 49 cm²
3 = 3/4(b - 8)
Switch sides
3/4(b - 8) = 3
Next, multiply both sides by 4
4 * 3/4(b - 8) = 3 * 4
Then simplify,
3(b - 8) = 12
Next, divide both sides by 3
3(b - 8)/3 = 12/3
Then, simplify
b - 8 = 4
Then, add 8 to both sides
b - 8 + 8 = 4 + 8
Simplify, b = 12
This is an exponential function.
If x = 0, 2^x = 2^0 = 1. The beginning value of 2^x is 1 and the beginning value of 51*2^x is 51.
Make a table and graph the points:
x y=51*2^x point (x,y)
-- --------------- ---------------
0 51 (0,51)
2 51*2^2 = 51(4) = 204 (2,204) and so on.
The graph shows up in both Quadrants I and II. Its y-intercept is (0,51). Its slope is always positive.
Answer:
Jupiter is so big that all the other planets in the solar system could fit inside it. More than 1,300 Earths would fit inside Jupiter. Jupiter is the fifth planet from the sun. From Earth, it is almost always the second brightest planet in the night sky.
Answer: 
Step-by-step explanation:
Hypothesis testing
For this problem, we need to use the t-student distribution to make inference about the data. We calculate the t-statistics as below:
Using a t-statistics table, or using the function TDIST in Microsoft Excel with 
with two-tailed distribution, we obtain .
