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Harlamova29_29 [7]

3 years ago

8

What is the factored form of 36x4 – 25?

1 answer:

dalvyx [7]3 years ago

5 0

(6x2 + 5) • (5 - 6x2)

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What is the reciprocal of 100

ale4655 [162]

Answer:

0.01

Steps:

The definition of "reciprocal" is simple. To find the reciprocal of any number, just calculate "1 ÷ (that number)." For a fraction, the reciprocal is just a different fraction, with the numbers "flipped" upside down (inverted). For instance, the reciprocal of 3/4 is 4/3

8 0

3 years ago

Read 2 more answers

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

6 0

3 years ago

Is the answer b? If not then what’s the answer

m_a_m_a [10]

I would say the answer is b, because it is a rhombus gape and all sides are congruent and there are 4 sides

3 0

3 years ago

Read 2 more answers

What is 160000000 in decimal?

pickupchik [31]

But <span>160000000 can't be a decimal, because its whole number, unless its a percent, or a fraction.</span>

5 0

3 years ago

For the following system, use the second equation to make a substitution for y in the first equation. 3x + y = 1 y + 4 = 5x What

Debora [2.8K]

Answer:

The answer is A.

Step-by-step explanation:

So we have the two equations:

$3x+y=1\\y+4=5x$

To make a substitution of the second equation into the first equation, we need to isolate the <em>y </em>variable in the second equation. Thus:

$y+4=5x\\y=5x-4$

Now, we can substitute this into the first equation. Therefore:

$3x+y=1\\3x+(5x-4)=1\\3x+5x-4=1$

7 0

3 years ago