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3 years ago

I just need 6, 7, 8, 9, and 10. Please help me if you know how to do this..

Mathematics

1 answer:

goblinko [34]3 years ago

7 0

Answer:

Step-by-step explanation:

a n

---- = ---- Solve for a. Note that if we multiply both sides of this equation by

m p n

m, we get a = m * ----

m*n

and this simplifies to a = mn/p or a = ---------

#7 Solve mx = np for x. We want to isolate x on the left side. Dividing

both sides by m isolates x on the left and adds the divisor m on the right:

mx = np => x = ------

#8 Solve c - x = d + r for x We want -x alone on the left side. Accomplish this by subtracting c from both sides, obtaining:

-x = d + r - c. Now multiply both sides by -1, obtaining x = -d - r + c

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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

Question 5 Unsaved

Otrada [13]

We can use the compound interest formula

F=P(1+i)^n

where

F=Future value of investment to be found

P=present value of investment ($1000)

i=interest per period (1/4 year)=0.04/4=0.01

n=number of periods (3 years * 4 quarters = 12)

Substitute or "Plug in" values, so to speak,

F=1000*(1+0.01)^12

use a calculator to do the sum

=1126.83 (to the nearest cent, and use the proper rounding rules)

3 0

3 years ago

G(x)=2x-2 <br> f(x)=x^2+3x <br> find (g of f)(2+x)

Bumek [7]

Answer:

Step-by-step explanation:

G(f(2+x))=g(2+x)^2+3(2+x)=2(2+x)^2+3(2+x)-2=2(4+4x+x^2)+6+3x=8+8x+2x^2+6+3x=2x^2+11x+14

6 0

3 years ago

Find the slope of the line going through the points (-5,-7) and (0,13)

Gre4nikov [31]

Answer:

slope= 4

Step-by-step explanation:

rise=20 run= 5 divide =4

6 0

3 years ago

Can you find the values of A and B please.

Tom [10]

Answer:

Step-by-step explanation:

8 0

2 years ago