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ad-work [718]
3 years ago
12

Which of the following statements is true ? HELLLLP ASSSSAPP TRYAN GRADUATE UKKK

Mathematics
1 answer:
Soloha48 [4]3 years ago
4 0

Answer:

Both are irrational

Step-by-step explanation:

\sqrt{\frac{4}{9} } is a trick as it does simplify to \frac{2}{3} , but that is irrational

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Write 19/25 as a terminating decimal
mariarad [96]
Terminating decimals firstly are decimals that finish... 
To transfer 19/25 to a decimal we have to get it out of 100. 
To do this, multiply 19 by 4, and 25 by 4. 
This gives you 76/100.
From here you can easily see the decimal is 0.76. 

= 0.76
8 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
Justin travels at 70 km/h on his motorcycle. If the speed limit is 50 mi./hr., is he speeding? Why or why not?
balu736 [363]

Answer:

Justin is <em>not </em>speeding because there is 1.609 km in a mile. So if you compare it to 70 km/h to 50 mi/h it would 70 km and 43.50 miles per hour. So like I said, no he is not because he is going below 50 mi/h.

6 0
3 years ago
Read 2 more answers
Please help my son asked me for this and I don't understand it.
Tasya [4]

Answer:

y = 2x + 3

Step-by-step explanation:

In the slope-intercept form of the equation of a line,

y = mx + b,

m = slope, and b = y-intercept.

Let's look at Adriana's equation and understand the parts:

y = 2x + 4

y = mx + b

m = slope = 2; b = y-intercept = 4

Now let's look at the description of Henry's equation.

He has the same slope as Adriana, so for Henry, m = 2 also.

His y-intercept is 1 less than Adriana's, so it is 1 less than 4. Henry's y-intercept is 3.

Now that we know that for Henry, m = 2, and b = 3, we can write his equation.

y = mx + b

y = 2x + 3

Answer: y = 2x + 3

7 0
2 years ago
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Can someone help me find the surface area of this.please​
masha68 [24]

Answer:

The surface area is 552 square cm.

7 0
3 years ago
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