All categories

3 years ago

Find the output, h, when the input, x, is -18 h=17+x/6

Mathematics

1 answer:

Elis [28]3 years ago

5 0

Answer:

h=14

Step-by-step explanation:

h=17+x/6

x=-18

h=17+-18/6

h=17+-3

h=17-3

h=14

If this has helped you please mark as brainliest

You might be interested in

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

4 years ago

PLLSSS REALLY URGENT <br> If g(x)=3x+4, determine n that g(-3)=g^-1(n).

grigory [225]

Answer:

we have:

g(-3) = 3.(-3) + 4 = -5

$g {}^{ - 1} (n) = \frac{1}{3n + 4}$

because

$g( - 3) = g {}^{ - 1} (n)$

$- 5 = \frac{1}{3n + 4} \\ \\ < = > - 5(3n + 4) = 1 \\ \\ < = > - 15n - 20 = 1 \\ \\ < = > n = \frac{ - 21}{15} \\ \\ < = > n = \frac{ - 7}{5}$

5 0

3 years ago

Tyler is planting 60 trees at the apple orchard he will plan 8 trees in each row how many full rows of trees will Tyler plant?

Ainat [17]

He would maybe have 7.5 but I insist you the answer could be 8 too

6 0

3 years ago

Nvm thanks its everyday bro with that disney channel flow

Colt1911 [192]

in all my years ive never seen something like this

8 0

3 years ago

Read 2 more answers

An element with a mass of 630 grams decays by 30% per minute. To the nearest minute, how long will it be untill there are 30 gra

nataly862011 [7]

Answer:

It should take somewhere between 8 to 9 minutes to decay until there are 30 grams remaining.

6 0

3 years ago