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3 years ago

15

What integer is equivalent to 9^3/2

1 answer:

Katyanochek1 [597]3 years ago

8 0

The correct answer is: 27 .
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Explanation:
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9^(3/2) = (√9)³ = 3³ = 3 * 3 * 3 = 27 .
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PLEASE HELP, The blueprints for the johnsons living room has a scale of 2 inches= 5 feet. The family wants to use a scale of 1 i

olchik [2.2K]

Because we got five feet for two inches at preceding case that mean we had 2.5 feet for each inch by dividing 5 on 2 so that will give us the result 2.5 standing as well as that scale change from 2.5 to 3 for each inch in the new blueprint so by multiplying 3 feet by 2 inch that give us 6 feet width

7 0

3 years ago

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

kenny6666 [7]

Given:

The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation

$y=-29x^2+1388x-10040$

To find:

The maximum amount of profit the company can make, to the nearest dollar.

Solution:

If a quadratic equation is $f(x)=ax^2+bx+c$ , then the vertex is

$Vertex=\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)$

If a>0, then vertex is the minimum point and if a<0, then the vertex is the maximum point.

We have,

$y=-29x^2+1388x-10040$

Here, $a=-29,b=1388, c=-10040$ . Clearly, a<0. So, the vertex is the point of maxima.

$-\dfrac{b}{2a}=-\dfrac{1388}{2(-29)}$

$-\dfrac{b}{2a}=-\dfrac{1388}{-58}$

$-\dfrac{b}{2a}\approx 23.931$

Putting x=23.931 in the given equation, we get

$y=-29(23.931)^2+1388(23.931)-10040$

$y=-16608.09+33216.228-10040$

$y=6568.138$

The vertex is at (23.931,6568.138).

Therefore, the maximum profit is $6568.138 when x=23.931.

5 0

3 years ago

Solve for y.<br> y y<br> —— = ——<br> P-9 P+9

Veronika [31]

9514 1404 393

Answer:

y = 0

Step-by-step explanation:

Subtracting the right side gives ...

$\dfrac{y}{P-9}-\dfrac{y}{P+9}=0\\\\y\left(\dfrac{(P+9)-(P-9)}{P^2-81}\right)=0\\\\y\left(\dfrac{18}{P^2-81}\right)=0\\\\\boxed{y=0}$

The factor multiplying y cannot be zero, so y must be zero.

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3 years ago

The mass of a freight train is 9.98 ⋅ 106 kilograms. The mass of an aircraft carrier is 7.3 ⋅ 107 kilograms. Approximately how m

shutvik [7]

Mass of freight train: 9.98 • 106
= 1057.88 kg
mass of aircraft carrier: 7.3 • 107
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difference: 1057.88 - 781.1
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3 years ago

How does place value help me divide?

Andreyy89

It shows the division ways by doing /

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4 years ago