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tester [92]
4 years ago
15

Help please

Mathematics
1 answer:
ddd [48]4 years ago
8 0
Length of the box = 25 - 2x
Width of the box = 14 - 2x
Height of the box = x

a.) Volume of the box = x(25 - 2x)(14 - 2x) = x(350 - 50x - 28x + 4x^2) = 4x^3 - 78x^2 + 350x
Therefore, the function that models the volume of the box is V(x) = 4x^3 - 78x^2 + 350x

b.) 4x^3 - 78x^2 + 350x ≥ 240
4x^3 - 78x + 350x - 240 ≥ 0
x = 0.834, 5.438
The values of x for which the volume is greater than 240 in^3 is 0.834 ≤ x ≤ 5.438

c.) For maximum volume, dV/dx = 0
dV/dx = 12x^2 - 156x + 350 = 0
x = 2.882910931

Therefore, maximum volume = 4(2.882910931)^3 - 78(2.882910931)^2 +350(2.882910931) = 453.798 in^3
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therefore the  fraction  is
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8 0
3 years ago
15 - m ≥ 4<br><br> if m = 11<br><br> true or false
Dominik [7]

Answer:

false

because its equal

15 - 11 = 4

4 = 4

4 0
3 years ago
Correct answer will get brainliest
Usimov [2.4K]

Answer: \lim_{n \to \infty} a_n \geq x^{2} \leq

Step-by-step explanation:

3 0
3 years ago
Write Equivalent Fractions
Viktor [21]

Answer:

Step-by-step explanation:

Find equivalent fractions. Enter a fraction, mixed number or integer to get fractions that are equivalent to your input. Example entries:

Fraction - like 2/3 or 15/16

Mixed number - like 1 1/2 or 4 5/6

Integer - like 5 or 28

What are Equivalent Fractions?

Equivalent fractions are fractions with different numbers representing the same part of a whole. They have different numerators and denominators, but their fractional values are the same.

For example, think about the fraction 1/2. It means half of something. You can also say that 6/12 is half, and that 50/100 is half. They represent the same part of the whole. These equivalent fractions contain different numbers but they mean the same thing: 1/2 = 6/12 = 50/100

How to Find Equivalent Fractions

Multiply both the numerator and denominator of a fraction by the same whole number. As long as you multiply both top and bottom of the fraction by the same number, you won't change the value of the fraction, and you'll create an equivalent fraction.

Example Equivalent Fractions

Find fractions equivalent to 3/4 by multiplying the numerator and denominator by the same whole number:

34×22=68

34×33=912

34×44=1216

34×55=1520

34×66=1824

Therefore these are all equivalent fractions:

34=68=912=1520=1824

Note that if you reduce all of these fractions to lowest terms, they equal 3/4.

For additional fraction help see our Fractions Cal

3 0
3 years ago
A rectangular pan has a length that is the width. The total area of the pan is 432 in.2. What is the width of the cake pan? A =
spayn [35]

Answer:

Let width = w

length = 4w/3

Area = 432 = length*width = w*4w/3

4w^2/3 = 432

w^2 = 432*3/4 = 324

w = 18

so the width of the cake pan is 18 inches.

4 0
3 years ago
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