multiply. write the result in scientific notation. (2.3x10^1)(7x10^6)

Answers

Answer 1

[tex] (2.3 \times 10^1) \times (7 \times 10^6)[/tex]

[tex](2.3 \times 7) \times (1 {0}^{1} \times {10}^{6} )[/tex]

[tex]16.1 \times {10}^{1 + 6} [/tex]

[tex]16.1 \times {10}^{7} [/tex]

Answer 2

The product of the given numbers is 1.61 × 10⁸.

What is meant by Scientific Notation?

Scientific notation is a way of writing a large number or small number with many digits in a simpler form using the power of 10.

For example, 30,000 can be written as 3 × 10⁴.

Given that,

We have to multiply the numbers (2.3 x 10¹) (7 x 10⁶).

The numbers in scientific notation uses exponents.

So we have to use the product rule of exponents here.

(2.3 x 10¹) (7 x 10⁶) = (2.3 × 7) × (10¹ x 10⁶)

                              = 16.1 × (10¹ x 10⁶)

We have the product rule, xᵃ . xᵇ = xᵃ⁺ᵇ

So the product is,

(2.3 x 10¹) (7 x 10⁶) = 16.1 × (10¹⁺⁶)

                              = 16.1 × 10⁷

                              = 1.61 × 10⁸

Hence the product in scientific notation is 1.61 × 10⁸.

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Related Questions

Amanda and Mary each have a box of popcorn.
Whose box holds more popcorn?
How much more popcorn does the bigger box hold than the smaller box?

Answers

Answer:

Amanda's box volume is 70 cm^3 greater than Mary's

Step-by-step explanation:

Find and then compare the volumes of the two boxes:

Amanda's:  10*10*13.5 cm^3 = 1350 cm^3

Mary's:  8*8*20 = 1280 cm^3

Amanda's box volume is 70 cm^3 greater than Mary's.

Find the volume of the following solid figure. Use = 3.14.
V = 4/31tr3. A sphere has a radius of 4.5 inches.
Volume (to the nearest tenth) =
cubic inches.
381.5
56.5
84.8

Answers

381.5 because it is......

A Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0). where is the ball after six seconds?

Answers

We have been given that a Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0).

We are asked to find the position of ball after 6 seconds.

We will use horizontal position and vertical position formula to solve our given problem.

Horizontal position is given by formula: [tex]x=v\cdot \text{cos}(\theta)\cdot t[/tex] and vertical position is given by formula: [tex]y=v\cdot \text{sin}(\theta)\cdot t[/tex],where,

v = Velocity,

t = Time,

[tex]\theta[/tex] = Angle to the starting line.

For our given problem [tex]v=1.6[/tex], [tex]t=6[/tex] and [tex]\theta=85^{\circ}[/tex].

[tex]x=1.8\cdot \text{cos}(85^{\circ})\cdot 6[/tex]

[tex]x=10.8 \cdot 0.087155742748[/tex]

[tex]x=0.9412820216784\approx 0.94[/tex]

[tex]y=1.8\cdot \text{sin}(85^{\circ})\cdot 6[/tex]

[tex]y=10.8\cdot 0.996194698092[/tex]

[tex]y=10.7589027\approx 10.76[/tex]

Therefore, the position of ball after 6 seconds would be [tex](0.94,10.76)[/tex].

Answer:

(0.8,9.6)

Step-by-step explanation:

x=1.6*cos85* 6=0.8

y=1.6*sin85 *6=9.6

Use the law of sines to find the length of side c.
C
be
41.59
37
42°
А
С
CD
O A. 36.64
B. 54.94
C. 37
37 36

Answers

Without the calculator let's just estimate that .5/42 = 1.2% change in the angle; we reduce the length a=37 by 1.2% to get 37×.988=36.556.  That's probably good enough to choose A.

Let's do it the way they want.

[tex]\dfrac{\sin C}{c} = \dfrac{\sin A}{a}[/tex]

[tex]c = \dfrac{a \sin C}{\sin A} = \dfrac{37 \sin 41.5}{\sin 42} = 36.6400[/tex]

Answer: A

Estimate worked.  Sine is approximately linear when the range is small enough.    

Three people hiked the same 1 mile trail. The distance for each hiker is reperesented in the drawing. Show about where the 1 mile mark should be on each drawing.Explain​

Answers

Answer:

Okay, so for the first line, measure the distance between the start and the 0.5 miles. Then add that distance to the other side of the 0.5 miles and then put a mark.

For the second one measure the distance between the start line and the 0.25 miles and then add that distance to the other side three more times and then put a mark.

And for the last one, use the distance that you used for the second one and put it after the 0.75 mark.

Step-by-step explanation:

PLEASE HELP - Which of these graphs represents a nonlinear function ?

Answers

Figure 3

Step-by-step explanation:

figure 3 because the line is not straight

Which expression is equivalent to 10√5

Answers

Answer:

A. √500

Step-by-step explanation:

Since 500 = 5·100 = 5·10² you can move the 10² out of the √ as 10.

Hence 10√5 = √500

So we're using these rules:

√a·b = √a·√b

and of course

√a² = a  (a>0)

PLSSSS help
Marking BRainlist

Answers

Answer: x = 14 for the first one, x = 4 for the second

Step-by-step explanation:

8x - 9 = 7x + 5

subtract 7x from both sides

x - 9 = 5

add 9 to both sides

x = 14

8x + 9 = 3x + 29

subtract 3x from both sides

5x + 9 = 29

subtract 9 from both sides

5x = 20

divide both sides by 5

x = 4

the first one is

x = 14

the second one is

x = 4

Find the area of the trapezoid by decomposing it into other shapes.
A) 25 cm2
B) 27 cm2
C) 30 cm2
D) 35 cm2

Answers

Answer:

35 cm2

Step-by-step explanation:

Answer:

The area of the trapezoid would be 30 cm squared.

Step-by-step explanation:

If a data value in a normal distribution has a negative z-score, which of the following must be true?

Answers

WHERE ARE THE FOLLOWING?

Answer:

C. The data value must be less than the mean

Step-by-step explanation:

Took the quiz on edge:)

MULTIPLE CHOICE:

A. x2 + 1 = 2x − 3
B. x2 – 2x − 1 = 3
C. x2 + 2x − 1 = 3
D. x2 + 2x − 1 = -3

Answers

Answer:

C

Step-by-step explanation:

The first term -2 is also -B; therefore A and B can be eliminated.

-1+3 is 2, and -4 is the only term used in the formula, so D is also eliminated


The number of points Emerson scored in 5 basketball games is 10, 8, 9, 8,
and 30. Why might it be misleading to Emerson to say that she averages 13
points per game? *

Answers

Answer:

because she usually gets lower scores but her avarge is 13 because she make 30 in one game witch is an outlire

Step-by-step explanation:

if im wrong im sorry if not pls brainlyest

What is the product?
2x(x-4)
O 2x2-4
O 2x2-8
O 2x2 - 4x
O 2x2-8x

Answers

Answer:

d. 2x^2-8x

Step-by-step explanation:

ure just doing distributive property.

The product of 2x(x-4) is 2x² - 8x

HOW TO OPEN BRACKET?

In a mathematics, algebraic expressions can be in bracket. This bracket means we multiply all the variables outside by those inside.

According to this question, we are given the following expression: 2x(x-4)

This means that 2x multiples x and -4 independently.

That is; 2x × x and 2x × -4

2x² - 8x

Therefore, the product of 2x(x-4) is 2x² - 8x.

Learn more about factorization at: https://brainly.com/question/6810544

omg please help meee fastttt​

Answers

Answer:

Jill will make less money if they both work 3 hours

Step-by-step explanation:

Trust me. I hope this helps :)

The last option(D)

Simplify.

8(12 - p)

20 - (8+p)
96 - 8p
96 - p
96p

Answers

So the right answer is of option C

Look at the attached picture

Hope it will help u ..

Find the length of DF

Answers

Answer:

7x-58

just add all the terms

3x-28+3x-30+x
7x-58 =33
7x=91
X=13
Soooo df= 6x-58
6*13-58=20
20 is the correct answer

Please help ;-;, I really need it-

Answers

Answer:

See below

Step-by-step explanation:

For a more detailed explanation, take a look at PDF below;

Surface Area of First Figure; 544 in^2,

Surface Area of Second Figure; 276 ft^2,

Surface Area of Third Figure; 1240 yd^2

I NEED HELPPPPP!!!! PLZZZ

Answers

Answer:

13.5

Step-by-step explanation:

Classify the following triangle. Check all that apply.
51
12.1
/59
70"
10
A. Scalene
I B. Equilateral
O C. Right
D. Acute
O E. Obtuse
O F. Isosceles

none of the answers I saw had the same triangle ​

Answers

Answer:

acute

Step-by-step explanation:

the largest number for the angles is 70 wich is an acute number and since the angles are all not equal its not equilateral

Answer:

it D . acute and A .scalene

What is the slope of y=5x-1y=5x−1y, equals, 5, x, minus, 1?

Answers

Answer:

5

Step-by-step explanation:

In this question the slope would be 5.

y= mx + b is the equation being used.

y = 5x -1

m = slope

Answer:

5

Step-by-step explanation:

please help me!!!!!!!!!!​

Answers

Answer:

(1,4)

(2,6)

(3,8)

(4,10)

(5,12)

Step-by-step explanation:

Please help ASAP will mark brainliest

Answers

the points are (1,8) :)

Math question down below

Answers

Answer:

2 3/8

Step-by-step explanation:

5 1/8 - 2 3/4

= 5 1/8 - 2 6/8

= 4 9/8 - 2 6/8

= 2 3/8

Find the volume of the cone whoever answers first gets brainiest!

Answers

Answer:

157.08

pi x radius x radius x height/3

Step-by-step explanation:

Answer:

V≈157.08

Step-by-step explanation:

I used the formula for a cone:

V=πr2h/3 (h/3 as in a fraction)

PLEASE HELP IM DUMB AND I NED THIS ASAP

Answers

Width (7.8) x length (7.8) x width (7.8) = 474.552

Look at the data points on the graph:
Is this relation a function?

Answers

I am pretty sure that it is a function. Every input has one output. Here is a memory device that my teacher gave us. Hopefully it helps!!

Please help me I have to go to a class and I need this fast

Answers

Answer:

5) Mode = 63          6) Mode = 74        

   Range = 70             Median = 74

   Median = 63           Range = 57

   Mean =  58.75        Mean = 68.7

Step-by-step explanation:

PLS HELP....I WILL GIVE YOU BRAINLIEST!!!!!!!!!!
Express as a percent:
1/6:
1/3:
2/3:
5/6:

Answers

Look at the attached picture

Hope it will help you

Good luck on your assignment

|n|=5 what is the value for n.

A -5or5
B 0 and 5
C -5 only
D 5 only

Answers

Answer:

A -5or5

Step-by-step explanation:

|n|=5

Absolute value means take the positive value of the number

|5|=5

|-5|=5

so positive 5 and -5

Describe the pattern of the number sequence 1, 9, 17, 25, 33, .... by using algebraic expressions

Answers

Answer:

8n + 1, where n is a whole number greater than or equal to 0.

Step-by-step explanation:

Every number on this list is one more than a multiple of 8, so if n is a whole number great than or equal to 0, the expression 8n describes every multiple of 8, and 8n + 1 describes every number one more than a multiple of 8.

The sequence is an arithmetic sequence.

The pattern is 1 + (n - 1)8.

What is an arithmetic sequence?

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8 is an arithmetic sequence.

We have,

1, 9, 17, 25, 33,....

This is an arithmetic sequence.

The first term is 1.

a = 1

The common difference is 8.

d = 8

i.e

9 - 1 = 8

17 - 9 = 8

25 - 17 = 8

The nth term of an arithmetic sequence.

= a + (n -1)d

= 1 + (n - 1)8

Thus,

The pattern of the sequence is 1 + (n - 1)8.

Where n is the term of the number.

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