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Scilla [17]
3 years ago
12

What is (-7)^3 / (-7)^4 simplified? Can you walk me through the steps?

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
7 0

Answer:

(-7)∧-1

Step-by-step explanation:

(-7)^3 / (-7)^4  

taking each and simplifing it

-7³ = -7 x -7 x -7

(-7)∧4 = -7 x -7 x -7 x -7

(-7)^3 / (-7)^4  = (-7 x -7 x -7 ) / ( -7 x -7 x -7 x -7) = 1/-7

1/-7 ( 1/ means raise to power -1)

1/-7 = (-7)∧-1

You might be interested in
Divide 40x 64y by 5x 8y
velikii [3]
If you would like to solve (40 * x * 64 * y) / (5 * x * 8 * y), you can calculate this using the following steps:

(40 * x * 64 * y) / (5 * x * 8 * y<span>) = 8 * 8 = 64
</span>
The correct result would be 64.
6 0
3 years ago
What is the volume of a sphere with a radius of 3 inches? 12π cubic inches 24π cubic inches 36π cubic inches 48π cubic inches
jek_recluse [69]

Answer:

12π cubic inches

Step-by-step explanation:

Volume  = (4/3)πr^3

V = (4/3)π9

V = (36/3)π

V = 12π

8 0
3 years ago
1. Mrs. Jones picks 3 flowers a day starting on Monday. How many does she have by Sunday?
Aleks04 [339]

Answer:

1. 18

2. 2412

Step-by-step explanation:

1. Monday 3

Tuesday 6

Wensday 9

Thursday 12

Friday 15

Sunday 18

_____________________________________________________

2.

603*4=2412

3 0
2 years ago
The total monthly profit for a firm is P(x)=6400x−18x^2− (1/3)x^3−40000 dollars, where x is the number of units sold. A maximum
wlad13 [49]

Answer:

Maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

Step-by-step explanation:

We are given the following information:P(x) = 6400x - 18x^2 - \frac{x^3}{3} - 40000, where P(x) is the profit function.

We will use double derivative test to find maximum profit.

Differentiating P(x) with respect to x and equating to zero, we get,

\displaystyle\frac{d(P(x))}{dx} = 6400 - 36x - x^2

Equating it to zero we get,

x^2 + 36x - 6400 = 0

We use the quadratic formula to find the values of x:

x = \displaystyle\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}, where a, b and c are coefficients of x^2, x^1 , x^0 respectively.

Putting these value we get x = -100, 64

Now, again differentiating

\displaystyle\frac{d^2(P(x))}{dx^2} = -36 - 2x

At x = 64,  \displaystyle\frac{d^2(P(x))}{dx^2} < 0

Hence, maxima occurs at x = 64.

Therefore, maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

6 0
3 years ago
Which Shape is NOT quadrilateral
Veronika [31]

Answer:

the pentagon (3rd one)

Step-by-step explanation:

definition of a quadrilateral literally means a shape with 4 sides

3 0
3 years ago
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