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irina1246 [14]
3 years ago
14

The average human heart Beats 1.15 times 10 to the power of 5 per day. There are 3.65 times 10 to the power of 2 days in one yea

r. How many times does your heart beat. Write your answer in scientific notation, and round to one decimal place

Engineering
1 answer:
laila [671]3 years ago
8 0

Answer:

  4.2·10⁷

Explanation:

Exponents are added when multiplying:

  (a^b)(a^c) = a^(b+c)

  1.15·10⁵ × 3.65·10² ≈ 4.2·10⁷

_____

Your calculator is designed to work with scientific notation. Scientific or graphing calculators can also display their output in scientific notation. A spreadsheet can also perform this calculation for you and display the result in the required format.

Calculators and spreadsheets sometimes use "E" in place of "×10^". That is, 4.2E7 means 4.2×10^7.

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Signal generator‘s internal impedance is purely resistive and has an open-circuit voltage of 3.5 V. When the generator is loaded
Bezzdna [24]

Answer:

r = 5.5 ohms

Explanation:

Given:-

- The open circuit voltage, Vo = 3.5 V

- The terminal voltage, Vt = 2.8 V

- The load, R = 22 ohms

- The internal resistance = r

Find:-

What is the generator’s output impedance (pure resistance)?

Solution:-

- We see that the source Voltage (Vo) is not entirely used for the attached load. Some of the source voltage is dropped within due to the source internal resistance or impedance.

- The terminal voltage (Vt) is the amount of Voltage drop across the load. The current drawn by the load I can be determined by Ohm's Law:

                            Vt = I*R

                            I = Vt / R

                            I = 2.8 / 22

                            I = 0.12727 Amps

- Since, the attached load (R) and the pure impedance (r) of the source are in series. The current  ( I ) is constant across both. The potential drop across the pure resistance (r) can be determined from Ohm's law:

                          Vo - Vt = I*r

                          r = ( Vo - Vt ) / I

                          r = ( 3.5 - 2.8 ) / 0.12727

                          r = 5.5 ohms

4 0
3 years ago
Let CFG G be the following grammar.
adoni [48]

Answer:

See Explanation Below

Explanation:

Given

S → aSb | bY | Y a

Y → bY | aY | ε

Giving a simple description of L(G) in English. The description is as follows;

This means that L(G) contains a string of a's and b's such that the following are true;

1. the string starts with n a’s and m b’s, where n and m can be zero, but not at the same time,and at least one of option 2 and option 3

2. and has any number of a’s or b’s followed by an a

3. ab followed by any number of a’s and b’s

Note that n and m represent numerical digits

Using the description to give a CFG for L(G), the complement of L(G) is written as L'(G)

L'G are elements not in L(G) and they are

L'(G) =a^n b (a∪b) * b^n ∪ a^n (a∪b) * ab^n

6 0
3 years ago
Read 2 more answers
Selling a new vehicle pays a salesperson $1500. Selling a used vehicle pays a commission of 5% of the selling price. Write an in
Dahasolnce [82]

Answer:

#Selling vehicles

import locale

locale.setlocale( locale.LC_ALL, 'en_CA.UTF-8' )

#Declaration of variables

total_pay=0

total_sales=0

#Selling details

for i in range(0,2):

   #Ask the type of sell

   type=input("Enter the type of the car you sold(used/new)? ")

   #Check error

   while(type.upper()!="USED" and type.upper()!="NEW"):

       print('ERROR!!!Should be used or new!!Please Re-enter')

       type=input("Enter the type of the car you sold(used/new)? ")

   #Input price of the car

   price=float(input("Enter the price of the car: "))

   #Calculations

   if(type.upper()=="NEW"):

       total_pay+=1500

   else:

       total_pay+=price*.05

   total_sales+=price

#Display results

print('Total Pay of the sale person = ',locale.currency(total_pay))

print('Total Sales = ',locale.currency(total_sales))

4 0
2 years ago
An object is supported by a crane through a steel cable of 0.02m diameter. If the natural swinging of the equivalent pendulum is
devlian [24]

Answer:

22.90 × 10⁸ kg

Explanation:

Given:

Diameter, d = 0.02 m

ωₙ = 0.95 rad/sec

Time period, T = 0.35 sec

Now, we know

T= 2\pi\sqrt{\frac{L}{g}}

where, L is the length of the steel cable

g is the acceleration due to gravity

0.35= 2\pi\sqrt{\frac{L}{9.81}}

or

L = 0.0304 m

Now,

The stiffness, K is given as:

K = \frac{\textup{AE}}{\textup{L}}

Where, A is the area

E is the elastic modulus of the steel = 2 × 10¹¹ N/m²

or

K = \frac{\frac{\pi}{4}d^2\times2\times10^11}{0.0304}

or

K = 20.66 × 10⁸ N

Also,

Natural frequency, ωₙ = \sqrt{\frac{K}{m}}

or

mass, m = \sqrt{\frac{K}{\omega_n^2}}

or

mass, m = \sqrt{\frac{20.66\times10^8}{0.95^2}}

mass, m = 22.90 × 10⁸ kg

4 0
3 years ago
Find the equivalent impedance Zeq seen by the source when Vs = 2 cos (5t) v, C = 0.2 F, R = 1 Ω and L = 0.1 H. (Give angles in d
Yanka [14]

Answer:

0.89 cos (st +116.57°v)

Explanation:

Please kindly check attachment for the step by step solution of the given problem.

6 0
2 years ago
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