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romanna [79]
2 years ago
8

If it costs$165 for a 2 month membership at the gym and$300 for a month membership, write an equation that represents the relati

onship between months and the total cost of the gym.Lastly find the points and rate of change​
Mathematics
1 answer:
AlekseyPX2 years ago
7 0

Answer:

5677$

Step-by-step explanation:

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Work out the lengths of sides a and b.<br> Give your answers to 1 decimal place.
torisob [31]

Step-by-step explanation:

{a}^{2}  =  {8}^{2}  +  {5}^{2}  \\  {a }^{2}  = 64 + 25 \\  {a}^{2}  = 89 \\ a =  \sqrt{89}  = 9.4 \: cm

{17}^{2}  =  {12}^{2}  +  {b}^{2}  \\  {b}^{2}  =  {17}^{2}  -  {12}^{2}  \\  {b}^{2}  = 289 - 144 \\  {b}^{2}  = 145 \\ b = 12 \: cm

3 0
3 years ago
A 1 newton force will stretch a spring 1 meter. The spring/mass system is damped by a force that is 8 times the instantaneous ve
sukhopar [10]

Answer:

Step-by-step explanation:

Given the mass is m =16kg, and 1N force will stretch the spring 1 m.

That is, F =1N,Z =1m. Now find the spring constant k:

F = kL = 1 = k(1) = k= 1N/m.

The damping force is 8times the instantaneous velocity, this means β = 8,

and the external force is f(t) = 0

Initially the object compressed 0.6m above equilibrium position,

with the downward velocity is 2m/s.

The differential equation for a spring mass system with

damping force and extemal force is: mx" + βxt + kx = f(t).

so, 16x"+ 8x' + x= 0, x(0} = -0.6, x'(0)= 2m/s.

Now solve the DE:

The auxilary equation for the homogeneous equation is 16x"+8x'+x=0

solving we get, 16r² + 8r + 1 = 0 => (4r + 1)² = 0 => r = - 1/4.

Then the general solution for the homogenous system is: x(t)=c_1e^{-t/4} +c_2te^{-t\4}.

Use the initial conditions x (0) = -0.6, x'(0) = 2m/s:

x(0)=c_1e^{0} +c_2(0)e^{0}=-0.6=c_1\\x'(t)=-\frac{1}{4}c_1e^{-t/4}+c_2e^{-t/4}-\frac{1}{4}c_2te^{-t/4}\\x'(0)=-\frac{1}{4}c_1e^0+c_2e^0-\frac{1}{4}c_2(0)e^0=2=-\frac{1}{4}(-0.6)+c_2=c_2=1.85.

Hence, x(t) =-0.6e^{-t/4}+1.85te^{-t/4}.

5 0
3 years ago
^!!Howdy howdy!!^
serious [3.7K]

Answer:

1. >; 2. >  

Step-by-step explanation:

1.

     ⅜ (?) 0.295    Convert ⅜ to a decimal fraction

0.375 (?) 0.295

We can use a <em>number line</em> to decide which number is greater.

In Fig. 1 below, when we go from 0.295 to 0.375, we are moving to the <em>RIGHT</em>,  so 0.375 is greater than 0.295.

0.375 >  0.295

2.

-0.770 (?) -4/5    Convert ⅘ to a decimal fraction

-0.770 (?) -0.800

In Fig. 2 below, when we go from -0.80 to -0.77, we are moving to the <em>RIGHT</em>,  so -0.770 is greater than -0.800.

-0.770 > -0.800


3 0
3 years ago
What are the answers ?
Anika [276]
If c = 8 and d = -5:

a) c - 3 = 8 - 3
= 5

b) 15 - c = 15 - 8
= 7

c) 3(c + d) = 3(8 + (-5))
= 3*3
= 9

d) 2c - 4d = 2(8) - 4(-5)
= 16 + 20
= 36

e) d - c^2 = -5 - (8)^2
= -5 - 64
= -69

f) 2d^2 + 5d = 2(-5)^2 + 5(-5)
= 50 - 25
= 25
5 0
3 years ago
5. A rectangular pyramid measures three feet by four feet at the base, and has a height of seven feet. Find its volume.
den301095 [7]

Answer: 28 ft

Step-by-step explanation:

Multiply 3,4, and 7 to get 84 ft cubed. To find the volume of a pyramid, divide by 3 to get 28 ft.

4 0
3 years ago
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