Mathematics College

2.1x 10^8 is how many times the value of 4.2 x 10^2?


A 5.0 x 10^5
B 5.0 x 10^6
C 2.1 x 10^5
D 2.1 x 10^6

Answers

Answer 1

Answer:

Step-by-step explanation:

If you want to find out how many times larger something is than something else, you have to divide. We will set up a problem that looks like this:

[tex]\frac{2.1*10^8}{4.2*10^2}[/tex]

Diving 2.1 by 4.2 gives us .5; to divide the exponents, we remember that if we divide like bases we have to subtract the exponents. 10 is our base in both cases, so 8 - 2 gives us 6, resulting in:

[tex].5*10^6[/tex]

However, this isn't in scientific notation. We need to move the decimal one more place to the right, which in trn reduces the exponent by 1:

[tex]5*10^5[/tex]

Related Questions

What is the product of the polynomials below?
(6 - 5x^2)(x4-x^3)

Answers

Answer:

-5x^6+5x^5+6x^4-6x^3

Step-by-step explanation:

[tex]\left(6-5x^2\right)\left(x^4-x^3\right)\\\\\mathrm{Apply\:FOIL\:method}:\\\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\\\\a=6,\:b=-5x^2,\:c=x^4,\:d=-x^3\\\\=6x^4+6\left(-x^3\right)+\left(-5x^2\right)x^4+\left(-5x^2\right)\left(-x^3\right)\\\\\mathrm{Apply\:minus-plus\:rules}\\+\left(-a\right)=-a,\:\:\left(-a\right)\left(-b\right)=ab\\\\=6x^4-6x^3-5x^4x^2+5x^3x^2\\\\Simplify\\\\=-5x^6+5x^5+6x^4-6x^3[/tex]

| -3+4 | - | 3 - 6 |

Answers

Answer:

-2

Step-by-step explanation:

the answer would be 4

Write the value of the expression.
Start Fraction 2 cubed over 2 cubed End Fraction
A. 0
B. 1
C. 2
D. 3

Answers

Answer:

1

Step-by-step explanation:

since the two numbers are the same up and down so the answer will be always 1

7x+9y=-41 and x+3y=1. Solve system of equations

Answers

9514 1404 393

Answer:

  (x, y) = (-11, 4)

Step-by-step explanation:

You can subtract 3 times the second equation from the first to eliminate y.

  (7x +9y) -3(x +3y) = (-41) -3(1)

  4x = -44

  x = -11

Substituting into the second equation gives ...

  -11 +3y = 1

  3y = 12

  y = 4

The solution is (x, y) = (-11, 4).

An artist is laying out the design for a wall hanging on a coordinate plane. She uses polygon EFGH with vertices E (4, 4), F (−4, 4), G (−4, −4), and H (4, −4) to represent the finished piece. What is the area of this polygon?

Answers

Answer:

The area is 64squared units

Step-by-step explanation:

Given

[tex]E = (4,4)[/tex]

[tex]F = (-4,4)[/tex]

[tex]G = (-4,-4)[/tex]

[tex]H = (4,-4)[/tex]

Required

The area of the polygon

First, we plot the given coordinates on a plane (See attachment)

From the attachment, we can see that the 4 coordinates make up a square.

Where

[tex]EF = FG = GH = GE = 8\ units[/tex]

So, the area is:

[tex]Area = EF^2[/tex]

Substitute [tex]8[/tex] for [tex]EF[/tex]

[tex]Area = 8^2[/tex]

[tex]Area = 64[/tex]

Hence, the area is 64 squared units

If g(x)=4vx then g(45)
is

Answers

Answer:

(2) 12√5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

g(x) = 4√x

g(45) is x = 45 for function g(x)

Step 2: Evaluate

Substitute in x [Function g(x)]:                                                                         g(45) = 4√45Simplify:                                                                                                            g(45) = 4(3√5)Multiply:                                                                                                             g(45) = 12√5

What is the area, in square units, of trapezoid ABCD shown below?

Answers

Given:

Trapezoid with bases 10 and 20, and height of the trapezoid is 6.

To find:

The area of the trapezoid.

Solution:

We know that the area of a trapezoid is:

[tex]A=\dfrac{1}{2}h(b_1+b_2)[/tex]

Where, h is the height of the trapezoid and [tex]b_1,b_2[/tex] are bases of the trapezoid.

Putting [tex]h=6, b_1=10,b_2=20[/tex] in the above formula, we get

[tex]A=\dfrac{1}{2}(6)(10+20)[/tex]

[tex]A=3(30)[/tex]

[tex]A=90[/tex]

The area of the trapezoid is 90 sq units. Therefore, the correct option is A.

The triangles below are similar. Find the length and round to the nearest tenth if necessary.

Answers

Answer:

x=48

Step-by-step explanation:

You start with the values of 4 and 16. Figure out how many times 4 goes into 16, which is 4. (4*4=16)

Now, since 4 is multiplied by itself to reach the value of 16, 12 will also be multiplied by 4 to give you the value of x.

CAN SOMEONE PLSSS HELP ME! IT’S DUE TODAY. I NEED THE SURFACE AREA AND VOLUME...

Answers

Answer:

[tex]Surface \ area = 2 (LB + BH + HL) = 2 ((4\times 8)+(8 \times 6) + (6 \times 4))[/tex]

                                                     [tex]= 2(32 + 48 + 24)\\=2(104) \\=208 cm^2[/tex]

[tex]Volume = L \times B \times H = 4 \times 8 \times 6 = 192cm^3[/tex]

by how much is Rs. 2690 less than Rs. 3780?​

Answers

Answer:

1090

Step-by-step explanation:

Hope it helps u

mark brainlist pls

Does (3,8) make the Equation y=x-5 true?

Answers

Answer:

no

Step-by-step explanation:

five different names were put into a hat. A name is chosen 111 times and the name Karen is chosen 29 times. What is the experimental probability of the name Karen being​ chosen? What is the theoretical probability of the name being​ chosen? Use pencil and paper. Explain how each probability would change if the number of names in the hat were different.

Answers

Answer:

Step-by-step explanation:

As the name Karen is chosen 29 out of 111 times,

the experimental probability of the name Karen being​ chosen = 29/111

As five different names were put into a hat,

the theoretical probability of one name like Karen being​ chosen = 1/5

If the number of names in the hat were different, the experimental probability will still depend on the outcomes. If it is 29 out of 111 times, then the probability stays the same.

But the theoretical probability will be 1 out of the number of names. So it will change.

Answer:

Step-by-step explanation:

P(experimental) = outcome = 29/111

P(theoretical) = P(equal chance) = 1/5

P(expt) no change w/ no. of names

P(theo) changes w/ no. of names

Insurance company records indicate that 12% of all teenage drivers have been ticketed for speeding and 9% for going through a red light. If 4% have been ticketed for both, what is the probability that a teenage driver has been issued a ticket for speeding if they ran a red light?

Answers

Answer:

four out of 100 (4%)

Step-by-step explanation:

10 ft
8 ft
Find the area of this figure. Round your
answer to the nearest hundredth. Use
3.14 to approximate ni.
A = [ ? ] ft?

Answers

Answer:

105.12 feets

Step-by-step explanation:

From the figure x we can identify a rectangle and a semicircle :

Area of rectangle = Length * width

Area = 8 * 10 = 80 feet²

The Area of a semicircle = 1/2πr²

Radius, r = 8 /2 = 4 feets

A = 1/2 * 3.14 * 4²

A = 3.14 * 8

A = 25.12 feet²

Area of figure = 80 + 25.12 = 105.12 feets

HELP THANK YOU SM !!! ​

Answers

Answer:

Your answer is C

Step-by-step explanation:

PLEASE HELP!!!! WILL GIVE BRAINLIEST!! 30 POINTS!!
Write a matrix that correctly displays the total number of students participating in these activities for the two high schools?

Answers

So the matrix would b

Plsssssssssss help. quick

Answers

Answer:

D. mDCB=46 degrees

Explanation:

DCB and CDE are the same angle just facing opposite ways

Emmie rolls a dice three times. What is the probability that she will only roll numbers greater than two on all of her rolls?

Answers

12/18 or 2/3 chance simplified

x plus 1 > 3

The souliton is

Answers

Answer:

x > 2

Step-by-step explanation:

x + 1 > 3

Subtract 1 from both sides

x + 1 - 1 > 3 - 1

x > 2

PLEASE HELP!!! WILL GIVE 35 POINTS AND BRAINLIEST

Answers

A. Yes

The earnings are the number of hours times a constant value.

B. Yes.

y = 5x models the table.

C. No.

The graph doesn't pass through the origin.

D. Yes

The number of signs is the number of days times 5.

E. No

y/x.is not constant.

F. Yes

This is a line passing through the origin.

You deposit $5,000 in an account that pays 2% annual interest. How long
does it take the balance to reach $10,000 when the interest is
compounded continuously. Round to the nearest tenth of a year.

Answers

Do
/5000 times 2/100

How do slope angle relate to delta y

Answers

Answer:

"The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0."

https://education.ti.com/html/t3_free_courses/calculus84_online/mod02/mod02_lesson3.html#:~:text=The%20slope%20and%20y%2Dintercept%20values%20indicate%20characteristics%20of%20the,the%20x%2Dvalue%20is%200.

Step-by-step explanation:

[tex]3x-5+7x+11[/tex]

Answers

Answer:

10x + 6

Step-by-step explanation:

3x - 5 + 7x + 11

10x - 5 + 11

10x + 6

10x+6 or

x= - 3/5
3x+7x=10x
11+(-5)=6

Lemonade will be served in 8 oz cups. One pint=16 oz. How many cups of lemonade in 5 gallons

Answers

640
128 = 1 gallon times 5 equals 640

Answer:

80 cups

Step-by-step explanation:

1 gallon = 128 oz

5x128= 640 oz

640/8=80

(3-2i)(1 + 7i)
What is the product?

Answers

Answer:

17+19i

Step-by-step explanation:

[tex](3-2i)(1+7i) =3+21i-2i-14i^2=3+19i+14=17+19i[/tex]


Use this information to find the value of b.


c = 25

s = 9


b = 4c - s2

​

Answers

Answer:

82

Step-by-step explanation:

you multiply 4(25)

which is 100

and then (9)2

which is 18

and then subtract 18 from 100

which gives you 82

Math. I don’t understand it. Pls anyone who is willing to help me with these hard times.

Answers

Answer:

idrk maybe try using a different app if you don't get answers

Two boys work to earn money

Brendon earns $72 in 6 hours mowing lawns.
Casey earns $80 in 8 hours pet sitting
One week the boys worked the same number of hours. the difference in their earnings that week was $24

how many hours did the boys work that week?

Answers

I believe it is 14 hours

Norman purchases five pounds of apples for $10. What is the price per pound?

Answers

Answer:

2 dollars per pound

Step-by-step explanation:

10/5=2

Answer:

2 Dollars per pound

Step-by-step explanation:

you can divide $10 by how many bags of apples you bought to get 2 dollars per pound

Self-explanatory‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌

Answers

it's A and B
explanation

Answer:

B.  0.96x25

Step-by-step explanation:

Set up an is/of=%/100 equation. Then 96/100=x/25. This is the same as 0.96 which is 96/100 multiplied by 25.

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