All categories

3 years ago

Simplify the expression: - 4j - 1 - 4j + 6

Mathematics

1 answer:

scZoUnD [109]3 years ago

3 0

-4j - 1 - 4j + 6 :Combine like terms (-4j and -4j) (-1 and 6)

<em><u>-8j + 5</u></em>

You might be interested in

one foot of water column produces a pressure of 0.433psi . a gauge at the bottom of a water tower reads 44 psi. how high is the

Klio2033 [76]

The answer to the psi is 19.6

7 0

3 years ago

A rectangular storage container with a lid is to have a volume of 2 m3. The length of its base is twice the width. Material for

Scilla [17]

Answer:

Dimensions are 2 m by 1 meter by 1 meter,

Minimum cost is $ 18.

Step-by-step explanation:

Let w be the width ( in meters ) of the container,

Since, the length is twice of the width,

So, length of the container = 2w,

Now, if h be the height of the container,

Volume = length × width × height

2 = 2w × w × h

1 = w² × h

$\implies h=\frac{1}{w^2}$

Since, the area of the base = l × w = 2w × w = 2w²,

Area of the lid = l × w = 2w²,

While the area of the sides = 2hw + 2hl

= 2h( w + l)

$= 2\times \frac{1}{w^2}(w+2w)$

$=\frac{6w}{w^2}$

$=\frac{6}{w}$

Since, Material for the base costs $1 per m². Material for the sides and lid costs $2 per m²,

So, the total cost,

$C(w) = 1\times 2w^2+2\times 2w^2 + 2\times \frac{6}{w}$

$=2w^2+4w^2+\frac{12}{w}$

$=6w^2+\frac{12}{w}$

Differentiating with respect to w,

$C'(w) = 12w -\frac{12}{w^2}$

Again differentiating with respect to w,

$C''(w) = 12 + \frac{24}{w^3}$

For maxima or minima,

C'(w) = 0

$\implies 12w -\frac{12}{w^2}=0$

$\implies 12w^3 - 12=0$

$w^3-1=0\implies w = 1$

For w = 1, C''(w) = positive,

Hence, for width 1 m the cost is minimum,

Therefore, the minimum cost is C(1) = 6(1)²+12 = $ 18,

And, the dimension for which the cost is minimum is,

2 m by 1 meter by 1 meter.

7 0

3 years ago

a recording studio charges musicians an initial fee of $50 to record an album. studio time cost an additional $75 per hour. writ

Keith_Richards [23]

Y=75x+50
Hope that helps

4 0

3 years ago

karina has a job at a video game store, the total she is paid each week is made up of an hourly rate of

kaheart [24]

Answer:

you have not put the full question

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Please help and ty all for yall's help

Triss [41]

It is 2/5 and Brainly is saying it needs to be 20 characters long

Answer:
2/5

6 0

2 years ago

Read 2 more answers