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deff fn [24]
2 years ago
5

1. Determine the quotient: 2 + 13

Mathematics
1 answer:
nlexa [21]2 years ago
3 0

Answer:

15

Step-by-step explanation:

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150% of what number is 186
faust18 [17]

150/100 = 1.5

1.5 * 186 = 279

3 0
3 years ago
A billboard designer has decided that a sign should have 4-ft margins at the top and bottom and 1-ft margins on the left and rig
givi [52]

An equation is formed of two equal expressions. The value of x that maximizes the area of the printed region of the billboard is 9.655 ft.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given x is the left-right width of the billboard and y is the height of the billboard. Therefore,

The total area of the billboard, A= x·y

The total printed area of the billboard, A_p=(x-2)(y-8)

Given in problem that the area of the billboard is 3600 ft².

x·y = 3600

y = (3600)/x

Substituting the value of y in the equation of the total printed area of the billboard,

A_p = (x-2)(\dfrac{3600}{x}-8)\\\\A_p = 3600 -8x -\dfrac{7200}{x} + 16\\\\A_p =3616-8x - \dfrac{7200}{x}

Now, the value of x is needed to be minimum, therefore, differentiating the given function,

\dfrac{d}{dx}A_p =\dfrac{d}{dx}3616-8x - \dfrac{7200}{x}\\\\\dfrac{d}{dx}A_p =-8 - \dfrac{7200}{x^2}

Equate the differentiated function with 0,

0=-8x - \dfrac{7200}{x^2}\\\\8x = - \dfrac{7200}{x^2}\\\\x^3 = 900\\\\x = 9.655 ft.

Hence, the value of x that maximizes the area of the printed region of the billboard is 9.655 ft.

Learn more about Equation:

brainly.com/question/2263981

#SPJ1

4 0
2 years ago
Simplify the following expression (3x^2y)^3
kolezko [41]

Answer:

\large\boxed{\left(3x^2y\right)^3=27x^6y^3}

Step-by-step explanation:

\text{Use}\ (ab)^n=a^nb^n\ \text{and}\ (a^n)^m=a^{nm}\\\\\left(3x^2y\right)^3=3^3(x^2)^3y^3=27x^6y^3

6 0
3 years ago
Rewrite the expression with rational exponents as a radical expression.
nexus9112 [7]

Answer:

If the expression is 4x^\frac{3}{7}, then the answer is the first option.

If the expression is (4x)^\frac{3}{7}, then the answer is the third option.

Step-by-step explanation:

Remember that when you have a radical expression in the form \sqrt[n]{x}, you can rewrite as:

=x^\frac{1}{n}

Then:

- If the expression is 4x^\frac{3}{7}, then you can rewrite it in the following radical form:

=4\sqrt[7]{x^3} (This form matches with the first option.)

- If the expression is (4x)^\frac{3}{7}, then you can rewrite it in the following radical form:

=\sqrt[7]{(4x)^3} (This form matches with the third option).

7 0
3 years ago
Read 2 more answers
3. A recipe for banana bread calls for 0.5 cup of vegetable oil. If the baker
vazorg [7]
1.5 cups of vegetable oil
3 0
3 years ago
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