The improper fraction of is 31/9
The given expression is,
We have to write it into improper fractions,
Since we know that,
An improper fraction, such as 6/5 and 12/5, is one in which the numerator is higher than or bigger than the denominator. Compared to other types of fractions like mixed fractions, improper fractions are simpler to solve using addition and subtraction.
Now to convert it into improper fraction
Multiply 3 with 9 then add it with 4 which gives the numerator,
Therefore,
= 31/9
Hence,
= 31/9
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Answer:
maximum volume of box is 588 cubic inches
Step-by-step explanation:
given data
dimensions box = 14 inches × 12 inches × 3.5 inches
to find out
volume of box
solution
we consider here box dimensions are
length l = 14 inches
width w = 12 inches
and height h = 3.5 inches
so
apply volume formula that is = l × w × h .....................1
put here value we get
volume = l × w × h
volume = 14 × 12 × 3.5
volume = 588 in³
so maximum volume of box is 588 cubic inches
Answer:
588
Step-by-step explanation:
Step-by-step explanation:
4x(4+3)=5(2x+5)
= 4x (7) = 10x + 25
= 28x = 10x + 25
= 28x-10x = 25
= 18x = 25
x = 25/18
Choose 1 answer:
(Choice A)
1≤t≤4
(Choice B)
−4≤t≤−3
(Choice C)
−2≤t≤0
(Choice D)
−2≤t≤4
Answer:
In the interval of - 2 ≤ t ≤ 4, the average rate of change is zero.
Step-by-step explanation:
The function is given to be ............ (1)
(i) Now, for 1 ≤ t ≤ 4, we will put t = 1 and t = 4.
So, g(1) = 5, g(4) = - 4. {From equation (1)}
Hence, g(1) ≠ g(4)
(ii) Now, for - 4 ≤ t ≤ - 3, we will put t = - 4 and t = - 3.
So, g(- 4) = - 20, g(- 3) = - 11. {From equation (1)}
Hence, g(- 4) ≠ g(- 3)
(iii) Now, for -2 ≤ t ≤ 0, we will put t = - 2 and t = 0.
So, g(- 2) = - 4, g(0) = 4. {From equation (1)}
Hence, g(- 2) ≠ g(0)
(iv) Now, for - 2 ≤ t ≤ 4, we will put t = - 2 and t = 4.
So, g(- 2) = - 4, g(4) = - 4. {From equation (1)}
Hence, g(- 2) = g(4)
Therefore, in the interval of - 2 ≤ t ≤ 4, the average rate of change is zero. (Answer)
Answer:
Between 4 and 5
Step-by-step explanation: