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3 years ago

PLEASE HELP ME! FAST!

Mathematics

1 answer:

zepelin [54]3 years ago

3 0

Average rate is given by,

$\langle r \rangle= \frac{f(b)-f(a)}{b-a}$

for section A, a=1, b=3

hope this helps.

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3 years ago

You must design a closed rectangular box of width w, length l and height h, whose volume is 504 cm3. The sides of the box cost 3

Charra [1.4K]

Answer:

Dimensions will be

Length = 7.23 cm

Width = 7.23 cm

Height = 9.64 cm

Step-by-step explanation:

A closed box has length = l cm

width of the box = w cm

height of the box = h cm

Volume of the rectangular box = lwh

504 = lwh

$h=\frac{504}{lw}$

Sides which involve length and width and height, cost = 3 cents per cm²

Top and bottom of the box costs = 4 cents per cm²

Cost of the sides $C_{s}$ = 3[2(l + w)h] = 6(l + w)h

$C_{s}$ = 3[2(l + w)h]

$C_{s}=6(l+w)(\frac{504}{lw} )$

Cost of the top and the bottom $C_{(t,p)}$ = 4(2lw) = 8lw

Total cost of the box C = $3024\frac{(l+w)}{lw}$ + 8lw

= $3024[\frac{1}{l}+\frac{1}{w}]$ + 8lw

To minimize the cost of the sides

$\frac{dC}{dl}=3024(-l^{-2}+0)+8w=0$

$\frac{3024}{l^{2}}=8w$

$\frac{378}{l^{2}}=w$ ---------(1)

$\frac{dC}{dw}=3024(-w^{-2})+8l=0$

$\frac{3024}{w^{2}}=8l$

$\frac{378}{w^{2}}=l$

$w^{2}=\frac{378}{l}$ -------(2)

Now place the value of w from equation (1) to equation (2)

$(\frac{378}{l^{2}})^{2}=\frac{378}{l}$

$\frac{(378)^{2} }{l^{4}}=\frac{378}{l}$

l³ = 378

l = ∛378 = 7.23 cm

From equation (2)

$w^{2}=\frac{378}{7.23}$

$w^{2}=52.28$

w = 7.23 cm

As lwh = 504 cm³

(7.23)²h = 504

$h=\frac{504}{(7.23)^{2}}$

h = 9.64 cm

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3 years ago

10% of what number is 300?

sergij07 [2.7K]

10% of what number is 300?

This means that the number is greater than 300 and in fact 10 times greater. You can create and equation. Let x be the number.

0.1x=300

x=3000

answer:3000

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3 years ago

Write to explain why i understand 4 tens and 14 tens name the same amount

arsen [322]

Because 4 is in the 10's place and 14's 4 is also in the tens place

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3 years ago

Solve each of the following equations. Show its solution set on a number line. Check your

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Answer:

3/5

Step-by-step explanation:

It should look like this...

x=3/5

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5*3 = 15

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2 years ago