All categories

3 years ago

(-5) ÷ (-7) = _____ - 35 -35

2 answers:

6 0

+35
explanation:
The quotient of 2 integers with the same sign is positive.
The quotient of 2 integers with different signs is negative.
Example:
(-8) ÷ (-4)= 2

MrRissso [65]3 years ago

5 0

Answer:

0.714

Step-by-step explanation:

Wgat more explanation could I give you. lol

You might be interested in

A division of Ditton Industries manufactures the Futura model microwave oven. The daily cost (in dollars) of producing these mic

Fofino [41]

Answer:

The actual cost incurred in manufacturing:

the 111st oven is $114.07
the 221st oven is 122.71
the 311st oven is $140.59

The marginal cost when x = 110, 220, and 310 is

$C'(110)=\$114.06$

$C'(220)=\$122.64$

$C'(310)=\$140.46$

Step-by-step explanation:

We know that the daily cost function of producing microwave ovens is given by

$C(x)=0.0002x^3 - 0.06x^2 + 120x + 5000$

(a) The actual cost incurred in manufacturing the 111st oven is the difference between the total cost incurred in manufacturing the first 111 ovens and the total cost of manufacturing the first 110 ovens:

$C(111)-C(110)=[0.0002(111)^3 - 0.06(111)^2 + 120(111) + 5000]-[0.0002(110)^3 - 0.06(110)^2 + 120(110) + 5000]\\\\C(111)-C(110)=17854.27-17740.2\\\\C(111)-C(110)=114.07$

For the 221st

$C(221)-C(220)=[0.0002(221)^3 - 0.06(221)^2 + 120(221) + 5000]-[0.0002(220)^3 - 0.06(220)^2 + 120(220) + 5000]\\\\C(221)-C(220)=30748.31-30625.6\\\\C(221)-C(220)=122.71$

For the 311st

$C(311)-C(310)=[0.0002(311)^3 - 0.06(311)^2 + 120(311) + 5000]-[0.0002(310)^3 - 0.06(310)^2 + 120(310) + 5000]\\\\C(311)-C(310)=42532.79-42392.2\\\\C(311)-C(310)=140.59$

(b) If C(x) is a total cost function, then the marginal cost function is defined to be its derivative C'(x).

We need to find the derivative of the total cost function:

$\frac{d}{dx}C(x)=\frac{d}{dx}(0.0002x^3 - 0.06x^2 + 120x + 5000)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\\frac{d}{dx}C(x)=\frac{d}{dx}\left(0.0002x^3\right)-\frac{d}{dx}\left(0.06x^2\right)+\frac{d}{dx}\left(120x\right)+\frac{d}{dx}\left(5000\right)\\\\C'(x)=0.0006x^2-0.12x+120$

The marginal cost when x = 110, 220, and 310 is given by

$C'(110)=0.0006(110)^2-0.12(110)+120\\C'(110)=114.06$

$C'(220)=0.0006(220)^2-0.12(220)+120\\C'(220)=122.64$

$C'(310)=0.0006(310)^2-0.12(310)+120\\C'(310)=140.46$

6 0

3 years ago

What is an example of a quadratic pattern ?

bearhunter [10]

<h3>Answer</h3>

A sequence of numbers has a quadratic pattern when its sequence of second differences is constant. Here is an example. Terms: 12. 22. 32. 42. 52. 62. 72 .

6 0

3 years ago

What is the solution set for square root of 3y+4=5<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B3y%20%7D%20%20%2B%204%20%3D

Maksim231197 [3]

We can solve it algebraically:
$\sqrt{3y} +4-4=5-4$ (subtract 4 from both sides to isolate $\sqrt{3y}$
$( \sqrt{3y})^{2} = (1)^{2}$ (square both sides to get rid of square root on left side
$3y/3=1/3$ (divide both sides by 3 to isolate y)
$y= \frac{1}{3}$

3 0

3 years ago

Leto [7]

Answer:

Options (B) and (C)

Step-by-step explanation:

Farmland owned by Dwight = 1600 acres

He wants to divide his farmland into four equal parts.

So the area of each part of the land will be = $\frac{\text{Area of the farmland}}{\text{Number of parts of the farmland}}$ = $\frac{1600}{4}$