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3 years ago

If y varies inversely as x and x = 9 when y = 45 , find x when y = 9 .

Mathematics

1 answer:

Harman [31]3 years ago

6 0

I believe it's 1.8, but correct me if I'm wrong.

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A chalkboard has a perimeter of 18 ft and is 6 ft long. Find the height of the chalkboard

MakcuM [25]

P = 2H + 2L
L = 6
P = 18
18 = 2H + 2*6
18 = 2H + 12
6 = 2H
H = 3 ft

3 0

3 years ago

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Solve this one step equation<br> -6+y=2

DiKsa [7]

Answer:

your answer would be 8

Step-by-step explanation:

you would need to add the six to the two and divide y by 8

6 0

3 years ago

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An object falls freely in a straight line and experiences air resistance proportional to its? speed; this means its acceleration

KiRa [710]

Answer:

t = 1.068 s

Step-by-step explanation:

given,

a(t) =- k v(t)

speed of the object decreases from 800 ft/s to 700 ft/s

distance = 1400 ft

time for deceleration = ?

a(t) =- k v(t)

$\dfrac{dv}{dt}= - kv$

$\dfrac{dv}{v}= - kdt$

integrating both side

$\int_{800}^{700}\dfrac{dv}{v}= - k\int dt$

$ln(\dfrac{7}{8})=-kt$

$t = -\dfrac{1}{k}ln(\dfrac{7}{8})$ ..........(1)

since,

$v = v_1e^{-kt}$

$\dfrac{ds}{dt} = 800e^{-kt}$

$\int ds= 800\int_0^t e^{-kt}dt$

$1400= -\dfrac{800}{k}[e^{-kt}-e^0]$

from equation 1

$k= -\dfrac{8}{14}[\dfrac{7}{8}-1]$

$k= \dfrac{1}{8}$

putting value of k in equation (1)

$t = -8ln(\dfrac{7}{8})$

t = 1.068 s

5 0

3 years ago

PLEASE HELP!<br> NO LINKS!<br> I only need help on letter d!!

IRINA_888 [86]

$242.46.............

8 0

3 years ago

Solve this question fast....in the attachment

avanturin [10]

Answer:

z = 4

y = -1

x = 2

Step-by-step explanation:

x - y = 3

Therefore => x = 3 + y

y + 2z =7

Therefore => y= 7 - 2z

We have the equation :

2x + 3y + 4z = 17

2(3 + y) + 3(7 - 2z) + 4z = 17

6 + 2y + 21 - 6z +4z = 17

2(7 -2z) - 2z + 27 = 17

14 - 4z - 2z + 27 = 17

-6z + 41 = 17

-6z = -24

z = 4

4 0

3 years ago