9514 1404 393
Answer:
A. 57 7/9 ft³
Step-by-step explanation:
The volume of a rectangular prism (cuboid) is the product of its dimensions.
V = LWH
V = (4 1/3 ft)(3 1/3 ft)(4 ft)
If you drop the fractions, this becomes ...
V = (4 ft)(3 ft)(4 ft) = 48 ft³
You know the fractions add some amount to this, so you know the volume will be somewhat larger than 48 ft³. The only reasonable choice is A: 57 7/9 ft³.
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If you feel the need to compute the volume exactly, you can do so using improper fractions.
V = (13/3 ft)(10/3 ft)(4 ft) = 520/9 ft³ = 57 7/9 ft³
The constant of proportionality is equal to k in y=kx. In y=10x, the k value is 10.
Final answer: C. 10
Answer:
The correct answer is option D: 
Step-by-step explanation:
Given:
log(y)= 3.994
Solution:
A logarithm base b of a positive number x satisfies the following definition:
For 
Also if no base b is indicated, the base of the logarithm is assumed to be 10
.
Thus, in log(y)= 3.994 base b is not indicated. so its base is assumed to be 10
now
Then
Answer:
c = -4
Step-by-step explanation:
If f(x) = 2x^3 - x + c and f(2) = 10, plug in 2 for the x values in the function and make the function output 10.
10 = 2(2^3) - 2 + c Now, we only have to deal with one variable, that is c.
10 = 2(8) - 2 + c
10 = 16 - 2 + c
10 = 14 + c
-4 = c After simplifying, we get that c is -4.
To check this, plug in 2 for x, and -4 for c in the function. If the function produces 10 as the result, the halleluja!
f(2) = 2(2^3) - 2 - 4
f(2) = 2(8) - 2 - 4
f(2) = 16 - 2 - 4
f(2) = 10
