Select the correct answer.
A dust particle weighs 7.42 × 10-10 kilograms. What is the weight of 5 × 106 dust particles represented in scientific notation?
A.
3.71 × 10-4 kilograms
B.
3.71 × 10-3 kilograms
C.
37.1 × 10-3 kilograms
D.
37.1 × 10-4 kilograms

Answers

Answer 1

Answer:

D) [tex]37.1\times 10^{-4} \ \textsf{kilograms}[/tex]

Step-by-step explanation:

[tex]7.42 \times 10^{-10} \times5 \times 10^6[/tex]

[tex]\implies 7.42 \times 5 \times 10^{-10} \times 10^6[/tex]

[tex]\implies 37.1\times 10^{-10} \times 10^6[/tex]

[tex]\implies 37.1\times 10^{-10+6}[/tex]

[tex]\implies 37.1\times 10^{-4}[/tex]


Related Questions

Easy Question! Find the number that should be added to the expression to create a perfect square trinomial: x^2 − 8x

A) -64

B) -16

C) 16

D) 64

Answers

Answer: The answer is C

Step-by-step explanation:

Well, an example of a perfect square trinomial would look like is:

                   [tex]a^2-2ab+b^2[/tex]      or      [tex]a^2+2ab+b^2[/tex]

So since we already know what [tex]a^2[/tex] is and what [tex]2ab[/tex] is we just have to find [tex]b^2[/tex]

However, we would use the [tex]a^2-2ab+b^2[/tex] formula to solve this since we have a subtraction sign

Answer:

C

Step-by-step explanation:

16

Huilan's age is two times Thomas's age. The sum of their ages is 87 What is Thomas's age?​

Answers

Answer:

29

Step-by-step explanation:

We can make an equation from the word problem:
H +T =87
2T+T=87

3T=87

87÷3=29

T=29
This is our answer but we can substitute this into our equation:
H +T = 87

2T+T =87
2(29)+29 = 87

58+29=87

87=87
So 29 is ✅

How many significant figures are in the measurement 1. 050 L? a. 1 b. 2 c. 3 d. 4 Please select the best answer from the choices provided A B C D.

Answers

The answer is D because when you look at the number 1.050 the one number in front of the decimal counts and since there is a value in front of the decimal the rest of the numbers count.

what is the rule for this table?

Answers

Your answer is
+6 input
+2 output

Ahmed sells different types of cake in his shop.
The cost of each cake depends on its type and its size.
Every small cake costs $x and every large cake costs $(2x + 1).

The number of small cherry cakes that can be bought for $4 is the same as the number of large
cherry cakes that can be bought for $13.
Find the cost of a small cherry cake.

Answers

Answer:

$0.80

Step-by-step explanation:

Let y be the number of cakes that can be bought then...

xy=4

y(2x+1)=13

Distribute the y to each term in the parentheses...

y(2x)+y(1)=13

2xy+y=13

xy=4

Multiply the second equation by 2...

2xy+y=13

2xy=8

Solve the equation using elimination (subtract the two equations and eliminate 2xy)...

y=13-8=5

Now, plug 5 back in for y to solve for x...

xy=4

5x=4

Divide both sides by 5

x=$0.80

I need explanation on the 3 times an odd integer and explanation of the questions.

You’re the god if u can so answer this question.

Answers

I'm going to try the strategy of "narrow it down slowly."

Let's start with how many perfect squares there are less than 1000. We have

0^2 = 0

1^2 = 1

2^2 = 4

3^2 = 9

...

30^2 = 900

31^2 = 961

32^2 = 1024

This means there are 0...31 so 32 perfect squares less than 1000.

Three times an odd integer... this is tricky. If you think about it, if n is divisible by three, then n must have a factor of 9 in it (why?), so [tex]\sqrt n[/tex] must have a factor of three! Boom, now we just have to count how many odd numbers from 0...31 are divisible by three. The first one is 1(3), the second is 3(3), the third is 5(3), the fourth is 7(3), and the fifth is 9(3). This means there are five such numbers.

Hi, I need some help with this slope problems
It’s due tomorrow, some help with them would really help
Thanks

Answers

1. D
2. Y= .25x-1.5
3.
4. M= -9/2 y-intercept = -12
5. M= -2 y= 0

7. A. (I think)
8. Y=2x-18

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

?=35

Step-by-step explanation:

Answer:

5/7 = 25/35

Step-by-step explanation:

First look at the numerators of the fractions. One fraction has both a numerator and denominator. Find the number that this numerator is multiplied by to get to the numerator that is missing its denominator. Multiply the known denominator by this number to find the unknown denominator.

Basically, what number did we multiply to get 25? its 5 (5x5=25)

So, multiply 7 by 5 and you'll get 35

Hope this helps!

What is the area of a picture of a silent that are 12 inches? Use The formula A=s^2, where is the length of one side


Answers

Answer:

144 in²

Step-by-step explanation:

Area of square: [tex]s^2[/tex]

Here s is 12 inches.

Using the formula:

area:  [tex]s^2[/tex]

area: 12²

area: 12 * 12

→ 144 in²

The formula to find area of square is:

[tex] \tt \: area = {s}^{2} [/tex]

Where,

s is side

In our case,

s = 12 inches

So,

[tex] \sf \: area = {12}^{2} [/tex]

[tex] \boxed{ \bf \: area = 144 \: {in}^{2}}[/tex]

9(b + 5) – 4b
what is this equivalent expression?
=

Answers

Answer:

[tex]9(b + 5) - 4b = \\ 9b + 45 - 4b = \\ 5b + 45 = b + 9[/tex]

Hope it helps you<3

[tex] \looparrowright \sf9(b + 5) - 4b[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf9b + 45 = - 4b[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf9b + 4b + 45 = 0[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf5b + 45 = 0[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf5b = - 45[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf \: b = - 45 \div 5[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf \: b = -9[/tex]

WILL MARK YOU BRAINLIEST NO FAKE ANSWERS! Name a pair of same side exterior angles.

Answers

Answer:

Angles 5 and 9 or angles 1 and 8

Step-by-step explanation:

Given m and n are parallel and there are two transversals, one of which doesn't form exterior angles hence angles 5 and 9 as well as angles 1 and 8 are the same side exterior angles

The coordinates of a figure are (0, 2), (3, 4), (-1, -3), and (2, -1). What is the most specific classification?

A. quadrilateral

B. Parallelogram

C. isosceles trapezoid

D. rectangle

Answers

Answer:

B. Parallelogram

Step-by-step explanation:

It should look something like this which is a parallelogram.

Parallogram is like a rectangle or square that is kinda slanted.

    ________

  /                /

/_______/

Ben plants 6 rows of roses, with the same number of roses in each row.

Answers

Answer/Step-by-step explanation:

r are roses,

r + 6

Ben plants 6r

[RevyBreeze]

Find the value of x.

Answers

Answer:

  x = 12

Step-by-step explanation:

The sum of the exterior angles of a convex polygon is 360°.

  (5x +4)° +(4x +9)° +(9x -6)° +(4x +1)° +(7x +4)° = 360°

  29x +12 = 360 . . . . . divide by °, collect terms

  29x = 348 . . . . . . . subtract 12

  x = 12 . . . . . . . . . divide by 29

Answer:

x=11.58

Step-by-step explanation:

The sum of an exterior angle of a polygon is 360°,

9x-6+4x+9+5x+4+7x+4+4x+1=360°

29x+24=360

29x=360-24

29x=336

x=336/29

x= 11.586

x=11.58

Hope it helps! :)

please help!!-
-
-
-
-
-
-

Answers

you want a better price to pay the bill on a daily plan or manual to make sure the balance was not included to pay to the insurance to get rid if they had been approved to be paid in a year for 170m months to come and legendary domortu for a few days now for a long weekend and Golden is a bit crazy but I'm not even getting out here to get it out and I don't want you want it or don't know me or you know I am not a big fan of your music and legendary domortu but if someone could give them some pets from your bank to help us find out the details for 200m

Find the circumference of the circle. Use 3.14 for
23ft

Answers

Answer:

144.44 units

Step-by-step explanation:

C = 2 * 3.14 * 23

C = 6.28 * 23

C = 144.44 units

the interior angles of a pentagon are 100°,×°,(3×+30)°,(2×-10)°,and 80°. Find ×​

Answers

Step-by-step explanation:

Sum of the interior angles of a Pentagon = 540

Therefore, 100+x+(3x+30)+(2x-10)+80=540

100+x+3x+30+2x-10+80=540

Group like terms

x+3x+2x=540-100-30+10-80

6x=340

6x=340

6 6

x=56.6

What is the factored form of the expression x2 − 81

Answers

Answer:

(x + 9)(x - 9)

Step-by-step explanation:

Apply the Difference of Two Squares formula: x² - y² = (x + y)(x - y)

Rewrite 81 at 9²

⇒ x² - 81 = x² - 9² = (x + 9)(x - 9)

Answer:

[tex]\left(x+9\right)\left(x-9\right)[/tex]

Step-by-step explanation:

[tex]x^2 - 81[/tex]

factor 81 as 9²

[tex]x^2-9^2[/tex]

using formula: a² -b² = (a+b)(a-b)

[tex]\left(x+9\right)\left(x-9\right)[/tex]

Using Postulates and/or Theorems, determine whether ABC~AXY.
explain why the triangles are similar or why they are not.

Answers

Answer:

They are not similar

Step-by-step explanation:

To see whether the triangles are similar or not we can compare their side lengths:

AB = 24

AX = 6

AX/AB = 1/4 is the ratio now let's compare this to AY/AC

AY/AC = 10/25 if we simplify this the result will be 2/5 as we can see the side lengths are not proportional so the triangles are not similar.

Select all equations that are equivalent to x2 + 6x= 16.
A) x2 + 6x +9=0
B C2 + 6x +9 = 16
C. x2 + 6x +9= 25
D. (a + 3)2 = 0
E, (x + 3)2 = 16
F. (x + 3)2 25

Answers

Answer:

(b) c2+6x+9=16

(e) (x+)2=16

Step-by-step explanation:

50 POIINTS AND BRAINLIEST IF YOU ANSWER THESE QUESTIONS QUICK AND CORRECT PLS HURRY!!!

Answers

first one 200 and second 6

Answer:

Step-by-step explanation:

1. 1300/65=20 sales

2.2+2=4

22-4=18

18/2=9

unknown number of inch=x+3

x=9

(9)+3=11

unknown number is 11 inch.

PLEASE ANSWER ILL GIVR BRAINLIEST 50 POINTS
Use the parabola tool to graph the quadratic function f(x)=x2−12x+27.

Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Answers

Answer:

vertex = (6, -9)

point = (0, 27)

see attached diagram for graph

Step-by-step explanation:

[tex]f(x)=x^2-12x+27[/tex]

Vertex form:  [tex]y=a(x-h)^2+k[/tex]

where (h, k) is the vertex

Rewrite function in vertex form:

[tex]\implies f(x)=(x-6)^2-36+27[/tex]

[tex]\implies f(x)=(x-6)^2-9[/tex]

Therefore, vertex = (6, -9)

As the coefficient of [tex]x^2[/tex] is positive, the parabola will open upwards (u shaped).

Point to plot:  

f(0) = 27

Therefore, point = (0, 27)

What is the equation of the line that passes through the point (3,−5) and has a slope of 0?

Answers

Slope zero
Y=0x+b
Y=b
Y=-5

Answer:

The answer is y + 5 = 0

Step-by-step explanation:

We know that, the equation of a line passing through point P(a, b) and slope m is given by

(y – b) = m(x – a) ...(1)

Here, The given point is P(3, -5) and slope is m = 0

from (1) we get

[(y – (-5)] = 0(x – 3)

y + 5 = 0 is the required equation of line.

Thus, The answer is y + 5 = 0

-TheUnknownScientist 72

Write the equation of the line that passes through the given points. (2,2.5) and (0,-2.5)

Answers

Answer:

y = 2.5x - 2.5

Step-by-step explanation:

slope is y2-y1 / x2-x1

so

2.5- (-2.5)/ 2 - 0

5/2

2.5 for your slope

Sum of the digits of a 2-digit number is 9. When the digits are reversed, it is found that the resulting number is smaller then the original number by 63. Find the number.​

Answers

Answer:

81

Step-by-step explanation:

the sum of adding 81 is 9, reversed 81 is 18 and 81 - 18= 63

Answer:        ans  is 36                                                                        

y-step explanation:

In the diagram shown, altitude AC is drawn from a right angle to BD in such a way that BC: DC = 4:1 Find the length of DC algebraically. Show your work below.​

Answers

Applying the altitude theorem and solving algebraically, the length of DC is: 6.

What is the Altitude Theorem?

If an altitude of a right triangle divides an opposite side into a and b, based on the altitude theorem, the height (h) of the altitude = √(ab).

Solving algebraically:

Let DC = x

Therefore:

BC = 4x

Applying the altitude theorem, we would have:

12 = √(4x × x)

12 = √(4x²)

12 = 2x

12/2 = x

6 = x

x = 6

Therefore, DC = x = 6.

Learn more about altitude theorem on:

https://brainly.com/question/10612854

A cylinder with a base diameter of x units has a volume
of cx cubic units.
Which statements about the cylinder are true? Select
two options.
The radius of the cylinder is 2x units.
The area of the cylinder's base is xx2 square units.
The area of the cylinder's base is
rxsquare units.
The height of the cylinder is 2x units.
The height of the cylinder is 4x units.
Mark this and return
Save and Exit
Submit
ity.com/ContentViewers/AssessmentViewer/Activit

Answers

Answer:

use symbolab

Step-by-step explanation:

Chen is baking muffins and banana bread for a brunch buffet.He needs. 3 1/5cups of flour to make the muffins and 3 2/3cups of flour to make the banana bread.Which is the best estimate of the number of cups of flour that Chen needs to bake both recipes?

Answers

Answer:

6 13/15

Step-by-step explanation:

Make both the numerator and denominator the same. Thean add the fractions together to get 6 13/15

To estimate the proportion of city residents who shop online, a researcher visits a mall on a weekday morning and

asks people she encounters to share their experiences with online shopping, including this question: "Do you shop

online at least once each week?" The results show that 32% of shoppers shop online at least once per week. Which

of these describes a likely source of bias present in the survey results?

O Response bias may be present because people may not be truthful with their responses.

O Question wording bias may be present because the question asked may exclude important information

O Nonresponse bias may be present because people in a mall may not want to answer questions.

O Undercoverage bias may be present because people in the workforce and many younger people could be

excluded

Answers

Answer:

Undercoverage bias may be present because people in the workforce and many younger people could be excluded.

Step-by-step explanation:

Countries with the highest populations in the world also have the highest population densities. True False.

Answers

Countries with the highest populations in the world also have the highest population densities is False.

What is a population?

The number of people living in a country is known as population.

What is population density?

The number of people living in a unit area is called population density. It is the ratio of the population of the country and the area of the country.

Countries with the highest populations in the world also have the highest population densities.

This statement is false because the population density depends on the area.

For example - China is having the first rank in population but its population density is 153 persons per kilometer square is much lesser than India which has a population density is 403 persons per kilometer square.

More about the population link is given below.

https://brainly.com/question/905400

Answer:

It is false

Step-by-step explanation:

I took the test

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