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Sav [38]
3 years ago
7

Solve the following equation in your notebook. Then place the correct number in the box provided.

Mathematics
1 answer:
ira [324]3 years ago
8 0
X=4 I know this cause I did the math and got it checked by a teacher
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(3 x 10-7) x (8 x 10 )
charle [14.2K]

Answer:

1840

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Identify the property used in each step of solving the inequality 7x+4<46
meriva
7x+4<46

7x+4(-4)<46(-4) <- Subtraction Property of Equality

7x<42

7x(/7)<42(/7) <- Division Property of Equality

x<6

I hope this helps!
~kaikers
8 0
4 years ago
Read 2 more answers
A guitar string is plucked at a distance of 0.6 centimeters above its resting position and then released, causing vibration. The
liubo4ka [24]

Answer:

The equation that represents the motion of the string is given by:

y =Ae^{-kt}\cos(2\pi ft)     .....[1] where t represents the time in second.

Given that: A = 0.6 cm (distance above its resting position) , k = 1.8(damping constant) and frequency(f) = 105 cycles per second.

Substitute the given values in [1] we get;

y =0.6e^{-1.8t}\cos(2\pi 105t)  

or

y =0.6e^{-1.8t}\cos(210\pi t)  

(a)

The trigonometric function that models the motion of the string is given by:

y =0.6e^{-1.8t}\cos(210\pi t)

(b)

Determine the amount of time t that it takes the string to be damped so that -0.24\leq y \leq0.24

Using graphing calculator for the equation

y =0.6e^{-1.8x}\cos(210\pi x)

let x = t (time in sec)  

Graph as shown below in the attachment:

we get:

the amount of time t that it takes the string to be damped so that -0.24\leq y \leq0.24 is, 0.5 sec


4 0
3 years ago
Can someone help me with these 2 problems please
mel-nik [20]
Don’t go to that link it’s bad they trying to scam you
6 0
3 years ago
How many years will it take for the account to reach $18,600? Round your answer to the nearest hundredth
Margarita [4]
 <span>it depends how the interest is calculated, but there's not much of a difference 

assuming its continuously compouned, you use this formula: A(t)=Pe^(rt), where A is the final amount, P is the initial investment, r is the interest, and t is the time in years 

you want to find t such that A(t)=18,600 so 18,600=1000e^(.0675t) 

you need to use logarithm to figure it out, take the natural log of both sides 

the following properties will come into use: 

ln(a*b)=ln(a)+ln(b) 
ln(a^b)=bln(a) 
ln(e)=1 

taking the natural log 

ln(18,600)=ln(1000e^(.0675t)) 

ln(18,600)=ln(1000)+ln(e^.0675t) 

ln(18600)=ln(1000) + .0675t 

now solve for t: t= (ln(18600)-ln(1000))/.0675 

t=43.31</span>
4 0
3 years ago
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