On average, a person’s heart beats about 4.2×107 times per year. There are about 7,600,000,000 people in the world. Use this data to approximate the number of heartbeats for all the people in the world per year. Expressing your answer in scientific notation in the form a×10 b , what are the values of a and b ?

Answers

Answer 1

A person heart beats is 4.2 x 10∧7

there are 7,600,000,000= 7.6 x 10∧9

the heartbeats for all the people here on earth= 4.2 x 10∧7 x 7.6 x 10∧9

choosing like terms

4.2 ×7.6×10∧7×10∧9

31.92x10∧(7+9)

31.92×10∧16

a=31.92

b=16

Answer 2

Answer:

[tex]3.192*10^1^7[/tex]

Step-by-step explanation:

To find this value, multiply the two values given:

4.2x10^7 = 4.2 x ( 10 x 10 x 10 x 10 x 10 x 10 x 10) = 42000000

42000000 x 7600000000 = 319200000000000000

Then convert 319200000000000000 into scientific notation:

319200000000000000 = 3.19200000000000000

Cut off all the zeroes and I moved the decimal 17 places to the left, so the exponent will be positive:

[tex]3.192*10^1^7[/tex]


Related Questions

when writing the equation of a line in slope-intercept form, how can you determine the value of m in y=mx+b if you know the coordinates of two points on the line?

Answers

To determine the value of m in the equation, apply the slope formula, m [tex]= \frac{y_2 - y_1}{x_2 - x_1}[/tex].

How to Determine the Slope of a Line?

The slope of a line (m) = change in y / change in x = (y2 - y1)/(x2 - x1).

In the slope-intercept form of an equation that represents a line, the slope is represented as "m" in y = mx + b.

The equation we can use to determine the slope (m) if we are given two points on a line is, m = (y2 - y1)/(x2 - x1).

For example, if two points, (-4,2) and (8,5) are points on the line, we can find the value of the slope (m) as:

m = (2 - 5)/(-4 - 8) = -3/-12

Slope (m) = 1/4

The value of m to use in the equation of the line would be 1/4.

Learn more about slope on:

https://brainly.com/question/28490034

#SPJ1

write a mixed number and an improper fraction for the model below ​

Answers

Answer:

2 and 3/4

11/4

Step-by-step explanation:

an improper fraction is any fraction with a numerator bigger then the denominator.

a mixed number is the "proper" version of an improper fraction.

the fraction 11/4 as a mixed number is 2 and 3/4.

to make an improper fraction a mixed number, find out how many times the denominator goes into the numerator. whatever you have left that didn't make 1 whole, turns into the fraction .

hope this helped

Find the y-intercept of the line.
y=-1.4x + 6.9

Answers

Answer:

The y-intercept is 6.9

Step-by-step explanation:

The formula is y = mx + b, where m is slope and b is y-intercept.

Hope this helped :)

halp! 7|2x+8|-5<9. please give the explanation.

Answers

Step-by-step explanation:

[tex]789 \sqrt[236]{456 = 10236} [/tex]

it is the answer

The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas. Write the ratios as fractions in simplest form. 6 and 11

Answers

Answer:

see explanation

Step-by-step explanation:

The perimeters of the similar figures have the same ratio as the sides.

ratio of perimeters = [tex]\frac{11}{6}[/tex]

ratio of areas = 11² : 6² , that is 121 : 36

ratio of areas = [tex]\frac{121}{36}[/tex]

carley beat the school record for the 400 meter by 1.3 seconds. if she ran the race in 55.7 seconds what was the record?

Answers

answer: 54.4
explanation: 55.7-1.3=54.4

find the 39% of number 65

Answers

Answer:

the answer would be 25.35

Step-by-step explanation:

10% = 6.5
30% = 19.5
1% = 0.65
9% = 6.5-0.65=5.85
19.5 + 5.85 = 25.35

3. Simplify the expression (x3 - 532 +7X - 12) = (x – 4) using long division. Show your work.
Answer.

Answers

Answer:

(3x+7x-532-12)=(x-4)

(10x-520)=(x-4)

10x-x=-4+520

9x=516

9x/9=516/9

x=57.333333

A flat fee of $15.25 plus $3.45 per pound of supplies ordered is added to the bill to cover the shipping cost.The teacher budgets $49.75 for the shipping cost.Which list of values best represents the entire domain for shipping, f(x), as a function of the number of whole pounds of school supplies the teacher can order, x?

Answers

The domain of a function is the set of possible input value, the function can take.

The domain is [0,10]

The given parameters are:

[tex]Flat\ Fee = 15.25[/tex]

[tex]Rate = 3.45[/tex]

So, the function f(x) is:

[tex]f(x) = Flat\ Fee + Rate \times x[/tex]

[tex]f(x) = 15.25 + 3.45 \times x[/tex]

[tex]f(x) = 15.25 + 3.45x[/tex]

Because x represents the number of orders, the value of x cannot be negative.

The teacher budgets $49.75.

This means that: f(x) = 49.75

So, we have:

[tex]49.75 = 15.25 + 3.45x[/tex]

Collect like terms

[tex]49.75 - 15.25 = 3.45x[/tex]

[tex]34.5 = 3.45x[/tex]

Divide both sides by 3.45

[tex]10 = x[/tex]

Rewrite as

[tex]x = 10[/tex]

Hence, the domain is [0,10]

Read more about domains at:

https://brainly.com/question/21853810

2% of what amount is $200

Answers

Answer:

200×100÷2=10000

Step-by-step explanation:

i think that is right

Write the given fraction as a decimal: 18/40.

Answers

Hopefully this could help you

Reflect the point over the y axis. (8, -3)

Answers

Answer:

-8, 3

Step-by-step explanation:

Reflections formula

Y-axis (-x, y)

X-axis (x, -y)

Answer:

   https://scratch.mit.edu/projects/580972810/

Step-by-step explanation:

This website is a link to a Scratch project. It's mine.

I made this because I couldn't do it on Brainly.

This is NOT a scam. I promise.

It will have a tiny purple ball which is the oringinal, and a green one which is the reflected.

solve the inequality. 4w < 0​

Answers

Answer:

w<0

Step-by-step explanation:

divide both sides by 4

Answer:

0<0

Step-by-step explanation:

divide both sides by 4 and it leaves you with 0 on both sides.

PLEASE HELP LOOK AT IMAGE WILL GIVE BRAINLIEST​

Answers

I'm pretty sure it's the second one, anything to the Power of 0 (in this example p) is 1, and m to the -8th power simplifies to 1/m^8.

Hope this helps a little!

Answer:

IT IS THE SECOND ONEE

1/m8

Roberta is shopping at a bookstore. She starts with some money in her wallet, uses only cash

to make her purchases, and finishes her shopping trip with no money left. Select each

response that correctly completes the statement below.

Roberta starts wtih $50.00 in her wallet and buys 5 books for

and 4 magazines for

(1 Point)

$10.00 per book

$8.00 per book

$2.00 per book

$10.00 per magazine

$8.00 per magazine

$2.50 per magazine

Answers

Answer:

roberta starts with 50 dollars in her wallet

Step-by-step explanation:

I need help on 1,2 and 4

Answers

Answer:

1. 279,936

2. 727

4. 4,096

1: 6 to the 7th power
2: 3 to the 12th power
3: 10 to the 4th power

which of the following fractions is equivalent to 75%

Answers

Answer:

Where are the fractions?

Step-by-step explanation:

There's 3/4, 9/12, 27/36, etc

Answer:

3/4

Step-by-step explanation:

First you would take 75/100 and than simplify that down so you get 3/4

To save money for a new phone, Terrell took a part-time job wrapping gifts. He wraps 3 gifts in 10
minutes.
Complete the table



HELPPP CAN SOMEONE TELL ME WHAT TO PUT IN THE TABLE

Answers

Answer:

* 0.3

Step-by-step explanation:

10   30     4.5       5.4

3     9       15        18

Answer: 10. 30 50. 60
3. 9. 15. 18
I think this is the answer super sorry if wrong

Hey!!:D
this is pretty urgent (only have to the end of the period to finish) hurry pleaseeee lol

Answers

Answer:

A,C, and D.

Step-by-step explanation: I promise

2 and 4, Also could do brainliest i'm trying to level up.

Mrs. Davis’ gym class has 24 girls and 18 boys. She wants to separate the class into stations. Each station must have the same numbers of girls and boys.

What is the greatest number of stations Mrs. Davis can make if every student has to participate in a station?

Answers

Answer:

6 stations

Step-by-step explanation:

Find the GCD of 24 and 18 in order to get the greatest number of stations

GCD is 6

A total points scored in a basketball game was 21. How many were 2 points, and how many were 3 point shots. using a linear equation to figure

Answers

Answer:

im not sure

Step-by-step explanation:

4. Each morning you do a combination of aerobics, which burns about 12 calories per

minute, and stretching, which burns about 4 calories per minute. Your goal is to burn

416 calories during a 60-minute workout. How long should you spend on each type of

exercise to burn the 416 calories?

Answers

22 minutes is spent doing aerobics and 38 minutes doing stretching

Let x represent the amount of time spent doing aerobics, Let y represent the amount of time spent doing stretching.

Since the goal is to do a 60-minute workout, hence:

x + y = 60     (1)

Also, 416 calories needs to be burnt hence:

12x + 4y = 416    (2)

We need to solve equation 1 and 2 simultaneously; multiply equation 1 by 4 and subtract the result from equation 2, hence:

8x = 176

x = 22 minutes

Put x = 22 in (1)

22 + y = 60

y = 38 minutes

Therefore 22 minutes is spent doing aerobics and 38 minutes doing stretching.

Find out more at: https://brainly.com/question/16763389

(-4, 12) and (-7, -3)​

Answers

Answer:

The slope is 5/1 or 5

Step-by-step explanation:

Hope this helps!

i attached my questions thx

Answers

Answer:

Answer:

1. x15 (a)

2. 1/x15 (b)

Step-by-step explanation:

multiply exponents

simplify expression

Step-by-step explanation:

The table shows the heights that four people parachute from an airplane. What is the range of the heights? Write your answer as a decimal or fraction in simplest form

Answers

The range is 7/20 of a mile.

Which statements about the graphs of y = 1/2sin x and y = 1/2sin(x - π /2) are true?
Select all that apply.
A) The graph of y = sin(x - π/2) is shifted units π /2 units left from the graph of y=1/2sin x.
B) The graph of y = 1/2sin(x - π/2) is shifted units π /2 right from the graph of
y = 1/2 sin x.
C)The period of y=1/2sin(x - π/2) is π/2, and the period of y = 1/2sin x is 2 π.
D)The amplitude of y = 1/2sin(x - π/2) is half the amplitude of y = 1/2 sin x.
E)The amplitude of y=1/2 sin(x - π/2) is the same as the amplitude of y = 1/2 sin x.

Answers

The answer is b.

Subtracting pi/2 to the x value shifts it towards the right. (It’s basically the opposite of the number line, negatives=right positives=left)

The correct answer is option B) The graph of y = 1/2sin(x - π/2) is shifted units π /2 right from the graph of y = 1/2 sin x.

How do you describe a graph?

For most graphs, give a brief description including the title and axis labels, and mention trends not already described in the text. For simple charts, state the actual data points. For more complex charts, an ideal description would include the data in a table or list.

Learn more about graphs here: brainly.com/question/14323743

#SPJ2

Fernando opened a pizza box. Inside there was 3/4 of a pizza. He ate 1/3 of what was remaining. How much of a pizza did he eat? Fernando opened a pizza box. Inside there was 3/4 of a pizza. He ate 1/3 of what was remaining. How much of a pizza did he eat? Please include a sentence explaining your reasoning.

Answers

Answer:

1/4

Step-by-step explanation:

If you divide 3/4 by 3, you get 1/4 (0.75 / 3 = 0.25)

0.5 of what number is 12 and what is the equation to represent this problem? Include a variable

Answers

.5 means half. 12 x 2 is 24. so, your equation would be x/2=12

can someone help me!​

Answers

Answer:

Step-by-step explanation:

T(-2,-4)    T' (-4,-2)

R (8,2)   R' (2,8)

S (4,-9) S' (-9,4)

b) answer is (x,y) is (y,x)

Given segment AX with point Q between A and X. AX = 25. AQ = 2y + 1. QX = 3y - 1.
We can set up an equation to solve for y using the fact that
y =
AQ =
QX =
Q

Answers

Answer:

y=5

AQ=11

QX=14

Q is not a midpoint

Step-by-step explanation:

A line segment can be divided into equal or unequal segments

The values of x, AQ and QX are 5, 11 and 14.

The given parameters are:

[tex]\mathbf{AX = 25}[/tex]

[tex]\mathbf{AQ = 2y + 1}[/tex]

[tex]\mathbf{QX = 3y - 1}[/tex]

[tex]\mathbf{AX = 25}[/tex] can be rewritten as:

[tex]\mathbf{AQ + QX =25}[/tex]

Substitute values for AQ and QX

[tex]\mathbf{2y + 1 + 3y - 1 =25}[/tex]

Execute like terms

[tex]\mathbf{5y =25}[/tex]

Divide both sides by 5

[tex]\mathbf{y =5}[/tex]

Substitute 5 for y in [tex]\mathbf{AQ = 2y + 1}[/tex] and [tex]\mathbf{QX = 3y - 1}[/tex]

[tex]\mathbf{AQ = 2 \times 5 + 1 = 11}[/tex]

[tex]\mathbf{QX = 3 \times 5 - 1 = 14}[/tex]

Hence, the values of x, AQ and QX are 5, 11 and 14.

Read more about line segments at:

https://brainly.com/question/18983323

Other Questions
In 1776, what group met and argued for and against independence from Britain? (Activity) HELP DUE IN 10 MINUTES!!!Two Step Equations Word ProblemsLast month, Margo bought a tree that grows 2.5 cm each day. It was 5 cm tall when she bought it and now it is 65 cm tall.1. Write an equation to determine the number of days (d) Margo has owned the plant.2. Find the number of days Margo has owned the plant. It is an attempt to combine separate economies into larger economic region. Please answer the questions in order NO LINKS please thanks Plzzz help me with this question and I also want working. Whoever will answer will be BRAINLIEST. Please answer quick hw due tonight1/3 is what percent of 2/3 and explain the full thing and work it out What is the measure of Zx?Angles are not necessarily drawn to scale.B42109D29EF susie change 500 dollars to euros $1 = 1.0697 euros Answers to these questions please, no work required Please Help! Was the Reconstruction fair to the Southern States? Explain. Map of the United States that shows the National Population Chang by State 2000-2010. Loss- MI 0-5 percent ND, IA, IL, MS, LA, OH, WV, PA NY, ME, VT, MA, RI,CT NJ 5-15 percent CA, OR, WA, MT, WY, NM, SD, NE, KS, OK, MN, MO, AR, IN, KY, TN, AL, NH, DE MD, DC, AK, HI 15 percent-25 percent ID, UT, AZ, CO, TX, FL, GA, SC, NC 25 percent+ NVPublic DomainWhich of the following is a true statement about the population of the United States between 2000 and 2010? The population decreased in about half of the U.S states. The population grew in only three U.S. states. The population decreased in only one U.S. state. The population decreased in at least three U.S. states. Question is in the pic :) What force prevents a machine from having 100% efficiency? A. Magnetic B. Electric O C. Friction O D. Gravity 7x501 and 6x+70>2 What is (a^6)^3 divided by (a^5)^2? (Please explain using steps.) If plane is going with 90 km per hour speed then in 35 minutes how much distance will it cover? Your manager wants everyone to make setting up seasonal aisle displays there top priority. You noticed that an associate has been focusing on other tasks instead. What would you be most and least likely to do g(x)=2x^2-3 translate 9 units up 2. The people who members of Congress represent are called. Jimmy spent half of his weekly allowance playing mini-golf. To earn more money his parentslet him mow the lawn for $5. What is his weekly allowance if he ended with $14?