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4 years ago

How do you find the slope of a line?

1 answer:

8 0

"Rise over Run" is a common way of remembering this means that you work out how much the line has gone up and then dividing this by how much the line has gone to the left

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I need help with the first question please

earnstyle [38]

Answer:

that's 3 unit s so because it's 3.5 but round it up and u get 3

5 0

3 years ago

A rectangular storage container with an open top is to have a volume of 10 m3. The length of this base is twice the width. Mater

noname [10]

Answer:

$ 327.08

Step-by-step explanation:

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

⇒ Length of the container = 2w,

If h be the height of the container,

So, the volume of the container = length × width × height

= 2w × w × h

= 2w² h

According to the question,

$2w^2h=10$

$\implies h=\frac{10}{2w^2}=\frac{5}{w^2}$

Now, the area of the base = length × width

$=2w^2$

Area of sides = 2 × length × height + 2 × width × height

$=2\times 2w\times h+2\times w\times h$

$=4w\times \frac{5}{w^2}+2w\times \frac{5}{w^2}$

$=\frac{20}{w}+\frac{10}{w}$

$=\frac{30}{w}$

Since, material for the base costs $20 per square meter and material for the sides costs $12 per square meter,

Hence, total cost,

$C(w) = 2w^2\times 20 +\frac{30}{w}\times 12$

$C(w)=40w^2+\frac{360}{w}$

Differentiating with respect to w,

$C'(w) = 80w - \frac{360}{w^2}$

Again differentiating with respect to w,

$C''(w) = 80 +\frac{720}{w^3}$

For maxima or minima,

C'(w) = 0

$80w - \frac{360}{w^2}=0$

$80w^3-360=0$

$80w^3=360$

$\implies w=\sqrt[3]{\frac{360}{80}}=1.65096362445\approx 1.651$

For w = 1.651, C''(w) = positive,

Thus, cost is minimum for width 1.651 meters,

And, the minimum cost = C(1.651) = $40(1.651)^2+\frac{360}{1.651}=\$327.081706869\approx \$ 327.08$

3 0

4 years ago

Last one, please help: (Due 9/8)

Westkost [7]

Answer:

Step-by-step explanation:

4 0

3 years ago

Which number best completes the pattern ?

Annette [7]

Answer:

Step-by-step explanation:

the common difference in the last sequence is 5 which can be gotten by subtracting the first term minus the second term.. therefore to find the next term you subtract 5 from the previous term,and 16-5 is 11.

I hope this helps

5 0

3 years ago

Read 2 more answers

Lisa took a survey of her classmates' favorite sport and recorded their genders. The results are in the table below:

Igoryamba

Answer:

0.43

Step-by-step explanation:

8 0

3 years ago