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

Solving Two Step Equations

9x + 6/3 = 5x + 2

Answers

Answer:

x = 0

Step-by-step explanation:

In this case it isn't exactly 2 steps, but you can still solve it.

First, simplify. Divide 6 with 3:

9x + (6/3) = 5x + 2

9x + 2 = 5x + 2

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 2 and 5x from both sides:

9x (-5x) + 2 (-2) = 5x (-5x) + 2 (-2)

9x - 5x = 2 - 2

4x = 0

Divide 4 from both sides of the equation to isolate the variable, x:

(4x)/4 = (0)/4

x = 0/4 = 0

x = 0 is your answer.

~

Answer:

4x+5

Step-by-step explanation:

9x+6/3=5x+2=9x-5x=4x+3+2=4x+4

The temperatures for the week were as follows Sunday 72 Monday 72 Tuesday 85 Wednesday 69 Thursday 72 Friday 80 and Saturday 77 determine the mean rounded to the nearest tenth median mode and range of the results

Answers

Answer:

Mean- 75.3

Median- 72

Mode- 72

Range- 77

Step-by-step explanation:

A marathon runner ran the first 5 miles in 32.5 min. If she
continues running at this pace, how long will it take her to run
The entire marathon of 26.2
miles?

Answers

Answer:

It will take her 170.3 minutes to run the entire marathon

Step-by-step explanation:

Use dimensional analysis, the miles will cancel out.

[tex]\frac{26.2 mi}{1}[/tex] ×  [tex]\frac{32.5 min}{5 mi}[/tex] =  [tex]\frac{26.2(32.5)}{5}[/tex]min = 170.3 min

Donna is collecting stamps. On the first day, she collects 5. On the second day, she collects 9. Each day, she collects 4 more stamps than the day before. How many total stamps will she have after 20 days?

Answers

Answer:

81 stamps

Step-by-step explanation:

Here we will use the AP formula

We know that

a_n = a + (n - 1)d

a = first term = 5

n = number of terms = 20

d = common difference = 9 - 5 = 4

On putting values

=> a_20 = 5 + (20 - 1)4

=> a_20 = 5 + (19)4

=> a_20 = 5 + 76

=> a_20 = 81

Therefore,

She will have 81 stamps after 20 days

[tex]\huge{\purple{\underline{\underline{\sf{\pink{ANSWER:-}}}}}}[/tex]

Here we have,

first term (a) = 5

no. of terms (n) = 20

common difference (d) = 9 - 5 = 4

[tex]\implies\tt{a_n = a + (n - 1) \times d} \\ \\ \implies\tt{a_20 = 5 + (20 - 1) \times 4} \\ \\ \implies\tt{a_20 = 5 + 19 \times 4} \\ \\ \implies\tt{a_20 = 5 + 76} \\ \\ \implies\tt{a_20 = 81}[/tex]

Hence, there will be 81 stamps after 20 days.

Can anyone help me with this question? please :)

Answers

You would do
7.5 squared plus 16 squared which gives you 312.25.
You then have to square root that which equals to 17.67059705.
Then just make it 1dp and it equals 17.7 cm

Find the measure of each angle indicated.

A D
A) 21°
C) 23°
E 25°
B) 80°
D) 20°

Answers

Let the missing Angle be " x "

We know that Measure of an exterior angle of a triangle is equal to sum of the opposite two interior angles,

that is :

x + 80° = 100°

x = 100° - 80°

x = 20°

value of missing angle = 20°

Please please help me with this question just help me on (C)

Answers

Answer:

move 3 seconds on your x-axis, and find your intersection with you y axis to determine the height h in m.

Am assuming you drew the function...

substitute 3 in the equation

[tex]h=-5({t})^{2} +20t\\ h=-5({3})^{2} +20(3)\\h=60-45=15m[/tex]

a rectangular hall is 16 m tall and 12 metre wide. how many marble slabs of size 25 CM X 15cm needed to cover the floor of the hall?​

Answers

Answer:

5120 tiles.

Step-by-step explanation:

Do one thing.

Find out the area of the rectangular hall.

Find out the area of the marble slab.

Remember, the units are to be made same.

Now, to know the number of marble tiles required to fill the hall, you just have to divide the area of the hall with the area of the marble tile.

Calculations-

Area of the rectangular hall = length x width = 1600 x 1200 (we converted 'm' to 'cm') = 1920000 sq. cm.

Area of one marble tile = 25 x 15 = 375 sq. cm.

Now you divide the numbers and get 5120 tiles.

true or false, two figures are mathematically similar if the angles change by the same scale factor.

Answers

Answer:

true

Step-by-step explanation:

when a figure is changed by a scale factor, it is similar. The angles and shape stay the same, but the size changes.

Plsss help answer the question don’t just get the points and not answer my question Plss I’m struggling

Answers

Answer:

This is cheating

Step-by-step explanation:

First you follow what your teachers tell you to do and listen

3/2(4x – 1) – 3x = 5/4 – (x + 2)

Answers

X = 3/16 or in decimal form X = 0.1875

Hope it helps!

Brainliest would be nice but you don’t have to :)

What is 6% of 24.55 rounding to the nearest hundredth

Answers

Answer:

24.56!

Step-by-step explanation:

4 or less stays the same 5 or more goes up

Someone help plz make sure it’s right and will make brainiest:)

Answers

The correct answer is y = -x + 3.

Good luck :) !

Hello! Please help!!​

Answers

Answer:

3 x 6 = 18

Step-by-step explanation:

think it's right. that jump from 6 to 3 might be cause of my downfall.

Answer:

18!

Step-by-step explanation:

Its going down by 1 number, 9 x 10 = 90

8 x 9 = 72

7 x 8 = 56

6 x 7 = 48

3 x 6 = 18

The distance a car can travel varies directly with the amount of gas in the tank. The car can travel 135 miles with 5 gallons of gas. How many miles can the car travel with 8 gallons of gas? and The value of y varies directly with x. When y=6, x=½. What is the value of x when y=312? please help me.

Answers

Answer:

216

Step-by-step explanation:

135/5=27

27*8=216

Need help ASAP! Directions in picture;)

Answers

Answer:

it is 8

Step-by-step explanation:

I can’t seem to find the right answer no matter what I try

Answers

Blank1)40cups of lemonade
Blank2)52cups of lemonade
Blank3) 200 cups of lemonade
Blank4) 64

Blank 1) 4
Blank 2) 5
Blank 3) 14
Blank 4) 1.5

cos^8a+sin^8a=1-sin^22a+1/8sin^4a​

Answers

cos⁸A+sin⁸A = (Cos⁴A)² + (Sin⁴A)²

=> (Cos⁴A + Sin⁴A)² - 2Cos⁴ASin⁴A

=> [(Cos²A)²+(Sin²A)²]² - 2(CosASinA)⁴

=> [(Cos²A+Sin²A)² - 2Cos²ASin²A]² - 2(CosASinA)⁴

=> [1 - 2Cos²ASin²A]² - 2(CosASinA)⁴

=> [1 - 2(CosASinA)²]² - 2(CosASinA)⁴

//Remember: Sin2A = 2SinA CosA => SinACosA = 1/2Sin2A

=> [1 - 2(1/2Sin2A)²]²- 2(1/2Sin2A)⁴

=> [1 - 1/2Sin²2A]² - 1/8Sin⁴2A

=> 1 + 1/4Sin⁴2A - Sin²2A - 1/8Sin⁴2A

=> 1 - Sin²2A + 1/8Sin⁴2A

=> R.H.S

I need help lollololol

Answers

Answer & Step-by-step explanation:

37.

Linda walked 3/4 (or 75%) of a track which is 3.5 miles long

Multiply 0.75 by 3.5 to get 2.625 miles (or 2 and 5/8 miles)

38.

We need to multiply the 2 and 3/8 mile track by 2 and a half (2 and 0.5)

1/8 is 0.125  

2/8 is 0.25

3/8 is 0.375

The track is 2.375 miles long.

Multiply 2.375 by 2.5

The track will be 5.9375 miles long after 5 years ( or 5 and 15/16 miles)

Step-by-step explanation:

37) ¾×7/2

21/8 miles = 2⅝miles .

38) (19/8×5/2)+19/8

= 95/16+19/8

= 133/16 = 8 5/16 miles .

hope this helps you.

Write these expressions in exponential form. Example: 12 to the power of 2 x 12 to the power of 6= 12 to the power of 2 +6

1. 11 to the power of 16 x 11 to the power of 1=

2. a to the power of 6 x a to the power of 8 =

3. (-2) to the power of 12 x (-2) to the power of 1=

4. 1.1 to the power of 7 x 1.1 to the power of 9 =

5. 3 to the power of 4 x 5 to the power of 2 =

Answers

Step-by-step explanation:

1. 11 to the power of 16 x 11 to the power of 1

[tex]11^{16}*11^1=11^{16+1}=11^{17[/tex]

2. a to the power of 6 x a to the power of 8

[tex]a^6*a^8=a^{6+8}=a^{14}[/tex]

3. (-2) to the power of 12 x (-2) to the power of 1

[tex](-2)^{12}*(-2)^1=(-2)^{12+1}=(-2)^{13}[/tex]

4. 1.1 to the power of 7 x 1.1 to the power of 9

[tex]1.1^7*1.1^9=1.1^{7+9}=1.1^{16}[/tex]

5. 3 to the power of 4 x 5 to the power of 2

Assumed it is both 3 or 5, we take 3

[tex]3^4*3^2=3^{4+2}=3^6[/tex]

hmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Answers

Answer:

C) 1 ¼

Step-by-step explanation:

.25 = ⁴/⁴ ÷ .25 = ¼

ñññññ

Answer:

The choice C)

[tex]1 \frac{1}{4} [/tex]

Step-by-step explanation:

[tex]1.25 = \frac{5}{4} = 1 \frac{1}{4} [/tex]

I hope I helped you^_^

Given that D, E, and F are the midpoints of their respective sides, and AC = 24, what’s the length of line segment DE?

Question options:

2 units

12 units

4 units

6 units

Answers

The ratio of their corresponding sides will remain constant. Then the measure of the side length DE is 12 units.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Given that D, E, and F are the midpoints of their respective sides of the triangle and AC = 24.

Then the length of line segment DE will be

We know that the triangle ΔABC is similar to the triangle ΔDBE. Then we have

BC = 2BE

Then the ratio of their corresponding sides will be

 BE/BC = DE/AC

BE/2BE = DE/24

       DE = 24/2

       DE = 12

Then the correct option is B.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ1

4. "Eleven subtracted from the quotient of a
number and five is -13."
How do I write this equation?? HELP

Answers

Answer:

[tex]\frac{x}{5}-11=-13[/tex]

Step-by-step explanation:

11 subtracted ( - 11 ) from the quotient ( division ) of a number ( x ) and 5 is ( = ) -13

[tex]\frac{x}{5}-11=-13[/tex]

Determine the value of y​

Answers

Answer:

C

Step-by-step explanation:

Because [tex]y^{\circ}[/tex] and [tex]134^{\circ}[/tex] both lie on a straight line, they sum to [tex]180^{\circ}[/tex].

So, [tex]y+134=180[/tex].

We can subtract [tex]134[/tex] from both sides of the equation to get [tex]y=46[/tex].

So,  the answer is [tex]\boxed{C}[/tex] and we're done!

what is the slope of the number set of 4,1 and 4,8?

Answers

Answer:

The entered points belong to a vertical line. There is no slope.

Step-by-step explanation:

On Tuesday at lunchtime, it was -10°C. By sunset, the
temperature had dropped 14°C.

Answers

-24 Celsius that is the answer

Answer:

By sunset the temperature was -24

Step-by-step explanation:

The reason for this is you start off with -10, then the word dropping relates to subtraction, meaning that the equation is -10-14, and when you subtract a negative, you are actually adding to it, so you can drop the negative for now, and you have 10+14 which equals 24, then add the sign back in to get -24C.

Hope This Helps. I would know, figuring I am in High School Statistics.

you are driving to a friends house at 35 miles per hour and the friend lives 21 miles away. how long to get to the house

Answers

Answer:

35miles/1 hr=21miles/x hr

= x hr* 35miles/1 hr= 21 miles

= x = 21/35 =0.6 hr

So, traveling at 35mph it will take 0.6 hours to travel 21 miles.

If you want time in mins then keep going:

=> 60 mins = 1 hour, 0.6 hours = x mins

60mins/1 hr = x mins/ 0.6 hr

0.6 * 60 mins = 36 mins.

:. It takes 0.6 hrs or 36 mins to drive 21 miles at a constant speed of 35mph

Step-by-step explanation:

Define the following terms and give an example of each. 1) Exponent 2) Base 3) Power 5) Expanded form 6) Standard form 4) Exponential form plzzzzzzz help me plzz

Answers

Answer:

Exponent - "a quantity representing the power to which a given number or expression is to be raised"

Base - "The number that gets multiplied when using exponents"

Power - "The number of times you use the number in multiplication"

Expanded Form - "A way to write a number by adding the value of its digits"

Standard form - "A way of writing down very large or very small numbers easily."

Exponential form - "a shortcut way of writing repeated multiplication involving base and exponents"

using a number line, find both the intersection and the union of the following interval: (-∞, 7) and [-5, +∞)

Answers

Step-by-step explanation:

the intersection of the interval: (-∞, 7) and [-5, +∞)

is [-5, 7)

and the union of the interval: (-∞, 7) and [-5, +∞)

is (-oo, +oo)

the population of london city is 11400. write this in scientific notation

Answers

Answer:

1.14 x 10x4

Step-by-step explanation:

thats is correct i just did the test

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