The average distance from the sun to the planet Venus is about 108,000,000 km. The diameter of a human hair is about 0.0025 mm.

(a) What is the distance from the sun to Venus written in scientific notation?

• [Please make sure to include your units]

(b) What is the diameter of a human hair written in scientific notation?

• [Please make sure to include your units]

(c) In comparing the measurements in Parts (a) and (b), what else must be done before a comparison is made?

Answers

Answer 1

Step-by-step explanation:

It is given that,

The average distance from the sun to the planet Venus is about 108,000,000 km. The diameter of a human hair is about 0.0025 mm.

(a) In scientifc notation, the distance from the Sun to Venus will be :

There are 8 numbers before 1. It means

d = 1.08 × 10⁸ km

(b) In scientific notation, the diameter of a human hair will be :

There are 3 numbers after decimal. It means

D = 2.5× 10⁻³ mm

(c) Before comparing two measurements, both values must be converted into the same units.

Since, 1 mm = 10⁻⁶ km

D = 2.5× 10⁻³ × 10⁻⁶ km

= 2.5 × 10⁻⁹ km

For comparison divide the distance from the Sun to Venus and the diameter of a human hair.

[tex]C=\dfrac{1.08\times 10^8\ km}{2.5\times 10^{-9}\ km}\\\\=4.32\times 10^{16}[/tex]

Hence, this is the required solution.


Related Questions

If two pounds of steak will serve 5 people, how many
pounds will be needed to serve 13 people?

Answers

Answer:

5.2 pounds will be needed

Step-by-step explanation:

TEXAS INSTRUMENTS TI-30X IX

- calculator i used

Answer:

5.2 approximately 5 pounds of steak

Step-by-step explanation:

if 5 people : 2 pounds of steak

then 13 people : ?

if more , less divides

13/5×2

26/5

5.2

18 + 19x = 10x + 54
can someone help me with this

Answers

Answer:

The answer is X= 4.

i need help with a question! im going to post it now! some one please help!!!!
its math

Answers

OKAYYYYYYYYYYYYYYYYYYYYYYYY

Answer:

Where is it?

Step-by-step explanation:

Can you guys answer 1 and 2?

Answers

the picture is black or maybe it’s just me sorry

Given that sec(0) =25/7
and 0 is in Quadrant I, find csc(0) and tan(0).

Answers

Answer:

Csc(0)=24/27 and Tan(0)= 24/7

Step-by-step explanation:

We know that secant is the inverse of cos. So that Sec(x) = Cos^-1(x)= hypotenuse/adjacent. We now know that 25 is hypotenuse and 7 is the length of side adjacent to angle theta.

Given this information we can find the length of side opposite to theta, which has length 24.

Now we know:

Hypotenuse=27

Adjacent=7

Opposite=24

Csc is inverse of sin, so that scs=sin^-1=hypotenuse/opposite=27/24

and tan=opposite/adjacent=24/7

Solve the system of equations algebraically.
5g+4k=10
-3g-5k=7

Answers

you want to find a common value which will be 15g
3(5g+4k=10)
5(-3g-5k=7)

15g+12k=30
-15g-25k=35
cross out the g and add the rest
-13k=36
k=-5
Then substitute -5 as k into the original equation
5g+4(-5)=10
5g-20=10
5g=30
g=6
So, K=-5 and G=6

Answer:

k = -5

g = 6

Step-by-step explanation

1) First solve for k and plug that into the other equation to solve for g.

5g + 4k = 10

4k = -5g + 10

k = -5/4g + 2.5

2) Plug k into the other equation to solve for g

-3g - 5k = 7

-3g = 5k + 7

-3g = 5(-5/4g + 2.5) + 7         Use the distributive property

-3g = -6.25g + 12.5 + 7        Combine like terms and simplify

-3g = -6.25g + 19.5               Add 6.25g to both sides

3.25g = 19.5                          Divide 3.25 from both sides to find g

g = 6

3) Now we take this g and plug it into the other equation to find k

(we could also just plug it into this equation as well)

5g + 4k = 10

5(6) + 4k = 10

30 + 4k = 10

4k = -20

k = -5.

If we really wanted to doube check this then we could plug the k value into the equation we used to find the g value...

-3(6) - 5(-5) = 7

-18 + 25 = 7

So yes, k = -5 and g = 6.

I've worked out the problem multiple times but I don't get any of the answer choices. Can someone work it and tell me what you get? The answer I have selected is closest to what I'm getting.

Answers

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[tex] \frac{ {a}^{3} - 27 }{ {a}^{2} - 9 } \div \frac{ {a}^{2} + 3a + 9 }{a + 3} = \\ [/tex]

[tex] \frac{ {a}^{3} - 27 }{ {a}^{2} - 9 } \times \frac{a + 3}{ {a}^{2} + 3a + 9 } = \\ [/tex]

[tex] \frac{(a - 3)( {a}^{2} + 3a + 9) }{(a - 3)(a + 3)} \times \frac{a + 3}{ {a}^{2} + 3a + 9 } = \\ [/tex]

[tex] \frac{(a - 3)(a + 3)( {a}^{2} + 3a + 9) }{(a - 3)(a + 3)( {a}^{2} + 3a + 9) } = \\ [/tex]

[tex]1[/tex]

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The correct answer is the first option .

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La profesora repartió témperas del mismo tamaño entre los chicos. Mariana usó 3/5 de su pote y Juan 3/4 del suyo. ¿Quién usó mayor cantidad y por qué? Representa con dibujos los potes y lo que se usó

Answers

Answer:

Juan uso mayor cantidad de témpera.

Step-by-step explanation:

Para comparar fracciones que tienen distintos denominadores, como en este caso, es conveniente encontrar fracciones equivalente a las fracciones dadas, donde ambas tengan el mismo denominador. Dos fracciones son fracciones equivalentes cuando representan la misma parte de la unidad.

En este caso, para comparar las fracciones 3/5 y 3/4, obtienes que el mínimo común múltiplo entre los denominadores que es 20 (el denominador común se puede obtener multiplicando ambos denominadores o calculando el m.c.m) y amplificas cada una de las fracciones para que tengan el mismo denominador.

Entonces:

[tex]\frac{3}{5} =\frac{3*4}{5*4} =\frac{12}{20}[/tex]

[tex]\frac{3}{4} =\frac{3*5}{4*5} =\frac{15}{20}[/tex]

Cuando dos o más fracciones tienen igual denominador, es mayor la que tiene mayor numerador. Entonces en este caso podes observar 15/20 es mayor. Como 3/4 es una fracción equivalente a 15/20, entonces 3/3 es una fracción mayor. Por lo que es posible decir que Juan uso mayor cantidad de témpera.

Esto también se puede observar en la representación de la imagen adjunta, donde se divide en 1/4 y 1/5 y se encuentra pintado la cantidad usada por Juan y Mariana. En ese caso se puede ver que el área pintada es mayor en el caso de 3/4, la cantidad usada por Juan.

Write the equation of the line that passes through the given points.

Answers

Answer:

y=3x-3

Step-by-step explanation:

the y(intercept)= -3 because the point is at -3 on the y-axis. from there the line goes up 3 and over 1. the slope would be 3.

All together the equation of the line is:

Y=3x-3

A count went from 605 to 203. What was the approximate percent decrease? Round the numbers to find an estimate of the percent decrease.

Answers

Answer:

66 %

Step-by-step explanation:

it is 66% because 203 is less than half of 605 .So, you would add together .

203+203=406   Thats not even close to 605 so now you add almost half so that would be about 66%

IT'S D

HOPE THIS HELPED MARK ME BRAINLIST PLS

Please anyone help me

Answers

Answer: Are we supposed to solve for y or?

Step-by-step explanation:

warning: sorry if this doesn't make sense but this all i can get out of this one

-2x + y = -9

x = 9/2 + y/2

y = -9 + 2x

------

same warning here

12x + 3y = 9

x =3/4 - y/2

y = 3 - 4x

sorry if this doesn't help but i hope it does

What is the slope-intercept equation of the line below?

Answers

My answer would be A. Because if your line is going down, it is a negative slope. And the y-intercept is at negative 1.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the y intercept is -1 becuase thats where the point is located on the y axis and the slope is -2x because rise over run go up 2 over one

To solve the following system by elimination of the x terms, if the first equation were multiplied by -4, by what number would you multiply the second equation?

Answers

Answer:

6

Step-by-step explanation:

Multiply by 6 and you can eliminate x or y.

Find f (h(-5))
f (x) 9x - 5
g(x) - 3x
h(x) 2x2

Your answer:​

Answers

hi

You are making  f ° h  

f(x) = 9x-5

h(x) = 2x²  

You must first calculate   h(-5)   :     so remplace  x  by -5 in h :

h(-5) = 2 (-5)² =  2* 25 = 50

then apply  f(x) to result  :   f(50) = 9 *50 -5 = 450 -5 = 445  

At an office supply store, 8 boxes of pens and 3 folders cost $6.50. At the same store, 8 boxes of pens and 1 folder cost $5.90. How much does one box of pens cost? How much does 1 folder cost? Please explain.

Answers

Answer:

$0.30

Step-by-step explanation:

the difference of the folders is 2.

The difference of money is $0.60

60/2 = 30

$0.30

ILL GIVE Brainliest
find the area of the polygon

Answers

Answer:

27.5 units^2

Step-by-step explanation:

Total area = Area of triangle ILH + Area of parallelogram JKLI

Area of triangle ILH

= 1/2 * b * h

= 1/2 * 5 * 5

= 12.5 units^2

Area of parallelogram JKLI

= bh

= 3 * 5

= 15 units^2

Total area

= Area of triangle ILH + Area of parallelogram JKLI

= 12.5 + 15

= 27.5 units^2

Brainliest to right answer, dont answer if your not sure...also based on the previous answer are the equations equivalent?

Answers

Answer:

D

Step-by-step explanation:

To get from A to B you must divide by x on each side, therefore dividing by the same variable expression

Paul's bank account used to have $1,250 dollars in it. After saving and following a strict budget he manages to increase that amount by 40%. How much money is in his bank account now?

Answers

Answer: $1750

Step-by-step: see the picture

Please mark me brainliest!! :)

The length of a rectangle is equal to triple the width. what is its width and length if its perimeter is 88 centimeters.

Answers

Answer:

56fifjjfiggitrireieisixii3eiirr

Answer:

Length = 33 cm

width = 11 cm

Step-by-step explanation:

a = 3w           ⇒ eq. 1

88 = 2(a+w)   ⇒ eq. 2

a = length

w = width

then:

replacing the value of the eq. 1 on the eq. 2

88 = 2(3w + w)

88/2 = 4w

44 = 4w

w = 44/4

w = 11 cm

from the eq. 1

a = 3w

a = 3*11

a = 33cm

Check:

perimeter = 88 = 2(a+w)

88 = 2(33+11)

88 = 2*44

Consider the expression shown.


(x^-3 y^5 z^-4) • (x^6 y^-7 z^-2)


Part A. The value of the exponent of x in the simplified expression will be


1. -18


2. -9


3. 3


Part B. The value of the exponent of y in the simplified expression will be


1. -35


2. -12


3. -2


Part C. The value of the exponent of z in the simplified expression will be


1. -6


2. -2


3. 8

Answers

Answer:

3, 3 and 1

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

Given

([tex]x^{-3}[/tex] [tex]y^{5}[/tex] [tex]z^{-4}[/tex] × [tex]x^{6}[/tex] [tex]y^{-7}[/tex] [tex]z^{-2}[/tex]

A

[tex]x^{-3}[/tex] × [tex]x^{6}[/tex] = [tex]x^{(-3+6)}[/tex] = x³ → with exponent 3

B

[tex]y^{5}[/tex] × [tex]y^{-7}[/tex] = [tex]y^{(5-7)}[/tex] = [tex]y^{-2}[/tex] → with exponent - 2

C

[tex]z^{-4}[/tex] × [tex]z^{-2}[/tex] = [tex]z^{(-4-2)}[/tex] = [tex]z^{-6}[/tex] → with exponent - 6

Solve the literal equation

X= (a+b+c)/(ab)

for a.

Answers

Answer:

a = (b + c)/(bx - 1)

Step-by-step explanation:

Given

x= (a+b+c)/(ab)

Solving for a

x = (a + b+ c)/(ab)abx = a + b+ cabx - a = b + ca(bx - 1) = b + ca = (b + c)/(bx - 1)

Chicken costs $3.20 per pound, and beef costs $4.59 per pound. Answer each question and show your reasoning. When purchasing 3 pounds, which meat is more expensive? By how much more expensive is it?

Answers

Given :

Chicken costs $3.20 per pound, and beef costs $4.59 per pound.

To Find :

When purchasing 3 pounds, which meat is more expensive and by how much.

Solution :

Price of 3 pound chicken, [tex]P_c=3.2\times 3 = \$9.6[/tex] .

Price of 3 pound beef, [tex]P_b = 4.59\times 3=\$13.77[/tex] .

Now, difference in price :

P = $13.77 - $9.6 = $4.17 .

Therefore, beef is more expensive than chicken by $4.17 .

Hence, this is the required solution.

Park rangers at a game preserve in Africa observed a cheetah run 3

3

5

miles in

1

20

hour. What was the cheetah’s speed in miles per hour (mph)?

A.

9

50

mph

B. 5

5

9

mph

C. 72 mph

D. 92 mph

2

Among other ingredients, a recipe for paella calls for

3

4

pound of chorizo and

1

2

cups of rice. What is the unit rate of pounds of chorizo to cups of rice in the recipe?

A.

3

10

pound of chorizo per cup of rice

B.

8

15

pound of chorizo per cup of rice

C. 1

7

8

pound of chorizo per cup of rice

D. 3

1

3

pound of chorizo per cup of rice

3

Mary Ellen has a white oak tree in her backyard. She observed that the tree had grown

2

3

foot in

3

4

year. What is the tree’s growth rate in feet p

Answers

Answer:

Cheetah's speed = 2.79 miles per hour

Step-by-step explanation:

Speed = Distance / Time

Distance = 335 miles, Time = 120 hours

So, speed = 335 / 120

Speed = 2.79 mph

- 6
48
-
99
how to solve it​

Answers

Huh? Can you put a picture?

4. The difference log2 (3) - log2 (12) is equal to

Answers

Answer:

Step-by-step explanation:

-2

Apply this particular rule of logs:

log a - log b = log a/b

Therefore, log2 (3) - log2 (12) = log2 (3/12) = log2 (1/4)

This last result simplifies to  log2 1 - log2 4 = 0 - 2 = -2

Answer:

-2

Step-by-step explanation:

[tex]log_2(3)-log_2(12)[/tex]

~Simplify using log properties

[tex]log_2(\frac{3}{12})[/tex]

[tex]log_2(\frac{1}{4})[/tex]

~Apply log rules

[tex]-log_2(4)[/tex]

~Rewrite

[tex]-log_2(2^2)[/tex]

~Apply log rules

[tex]-2log_2(2)[/tex]

~Apply log rules

-2 * 1

~Simplify

-2

Best of Luck!

the equation y=7× represents a proportional relationship. What is the constant of proportionality​

Answers

The answer is the number 7

4. A map has a scale of 1 inch = 100 miles. The distance between two cities is 7.25 inches. If a car travels
50 miles per hour, about how long will it take to get from one city to another?
hours

Answers

Answer:

14.5 hours/14 hours 30 minutes

Step-by-step explanation:

The distance between the two cities is 7.25•100=725 because you multiply the scale distance by the scale.The number hours is 725/50=14.5 hours because you divide the distance by 50 (the miles per hour).

I need help on this... i have to find the m

Answers

Answer:

100°

Step-by-step explanation:

(20x)° = (7x + 5)° + 60°

20x - 7x = 65

13x = 65

x = 5

m∠BTU = (20 × 5)° = 100°

What 10 x 13x 5 x6 x8 x9 x9 x0

Answers

Answer:

0

Step-by-step explanation:

If those x's are NOT variables, then the answer is 0. The x is a multiplication sign, right?

Find y if 3х + 4y = 1

Answers

Answer:

y=1/4-3/4y

Step-by-step explanation:

rearrange the equation

4y=1-3x

divide both sides by 4 to get the value of y

Answer:

y = 1/4

Step-by-step explanation

Find Y set x=0

3(0)+4y = 1

        4y = 1

         y  = 1/4

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