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asambeis [7]
3 years ago
15

The United States govermoment produced about 10.25 billion pennies in one year. How is 10.25 billion written in scientific notat

ion?
Mathematics
2 answers:
zubka84 [21]3 years ago
5 0
<span>10,250,000,000=1.025</span>×10¹<span>⁰
</span>

First, we will put a decimal point at the end of number 10250000000.

In order to write number 10250000000. in scientific notation we need to move the decimal point from its current location (black dot) to the new position (red dot).

<span>1.0250000000.</span>

So, we need to move decimal point 10 places to the right. 
This means that the power of 10 will be positive 10.

Now we have that the

<span>Number part = <span>1.0250000000 </span></span>( which can be written as 1.025 ) and

<span>Exponent part = <span>10</span></span>

Margarita [4]3 years ago
4 0
  <span>In scientific notiation the number is noted as a number between 1 and 10 times 10 to whatever power is necessary to equal the original number so it needs to be 1.025 x 10^10 instead of 10.25.</span>
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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
For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the standard deviation.
Yakvenalex [24]

Answer:

Sd(X) =\sqrt{1.2}=1.095

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=5, p=0.4)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

The mean for the binomial distribution is given by:

E(X) =np=5*0.4=2

And the variance is given by:

Var(X) = np(1-p) =5*0.4*(1-0.4)=1.2

And the deviation is just the square root of the variance so we got:

Sd(X) =\sqrt{1.2}=1.095

7 0
2 years ago
I need help please.
12345 [234]

-3x^2 X=4

4^2= 4x4=

16

16(-3)= -48

5 0
3 years ago
$\mbox{a rocket is shot straight into the air at an initial velocity of 96 feet/second. }$ $\mbox{the height of the rocket after
Stolb23 [73]
?????? what  even is that question
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3 years ago
Need it by 1.30 show working
Anna35 [415]

Answer:

ill do it when i get home with the explanation attached also !

Step-by-step explanation:

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