Calculate 3.1 x 108 divided by 6.7 x 103 by using Scientific Notation and the product rule. Write your answer in Scientific Notation. Round to the nearest tenth.

Answers

Answer 1

After calculation the value is 4.62 * 10⁴ in Scientific Notation.

What are Scientific Notations ?

It is a way of presenting very large and small number in simpler and more understandable form.

It is given that

Calculate 3.1 x 10⁸ divided by 6.7 x 10³

[tex]\rm \dfrac{3.1*10^8}{6.7*10^3}\\\\By \;the \;exponent\; theorem\\\\\dfrac{a^m}{a^n} = a ^{m-n}[/tex]

Therefore

0.462 * 10⁵

4.62 * 10⁴

Therefore the answer after calculation is 4.62 * 10⁴ .

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Related Questions

could someone pleasee help me will give brainliest

Answers

the bottom angle is also 112 because of the equality in sides

Question
The function defined by f(t)=12(1+0.03)t can be used to determine the population, in thousands, of a town t years since 1955. According to the function, what was the population of the town in 1955 and what was the percent increase in population from year to year?

Enter a number in each box to correctly complete the sentence.

Answers

The population of the town in 1955 was 12 thousand people, and the percent increase in population from year to year was 3%.

How to explain the population?

A function assigns the value of each element of one set to the other specific element of another set. The function that gives the population of the town is given.

Since the year 1955 the value of t=0. Therefore, The population of the town in 1955 was 12 thousand. The percentage increase in population from year to year is 3%.

Therefore, the population of the town in 1955 was 12 thousand people, and the percent increase in population from year to year was 3%.

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the number 2.525252.... can be written as a fraction, when reduced to its lowest term, the sum of numerator and denominator is:

Answers

Answer:

Here's your answer.

Let the number be x.

Here we have to multiply with 100 on both sides.

[tex] \implies \: 100x = 252.5252 \\ \\ \implies \: 100x = 250 \ + 2.5252... \\ \\ \implies \: 100x = 250 + x \\ \\ \implies \: 99x = 250 \\ \\ \implies \: x = \frac{250}{99} [/tex]

Therefore, sum of numerator and denominator = 25099 = 349

Hope it helps you from my side

Answer:

349

Step-by-step explanation:

2.525252.... is a non-terminating and recurring number.

2.525252.... can be expressed as [tex]2.\overline {52}[/tex]

Now, we convert [tex]2.\overline {52}[/tex] as a fractional number. Lets start.

[tex]Let \: x =2.\overline {52}[/tex]........(1)

Multiply both sides of eq (1) by 100, we find:

[tex]100x =252.\overline {52}[/tex]........(2)

Subtracting (2) from (1)

[tex]100x -x=252.\overline {52}-2.\overline {52}[/tex]

[tex]\implies 99x=250[/tex]

[tex]\implies x=\frac{250}{99}[/tex]

Numerator = 250

Denominator = 99

Sum of numerator and denominator = 250 + 99 = 349

Please Help!!! Two parallel lines are cut by a transversal. What is the measure of 7?

Answers

Answer:

D. 77º

Step-by-step explanation:

Because 3 and 7 are corresponding angles and 3 = 77º, 7 also is 77º.

What is the area of the circle

Answers

Answer:

201.062in²

Step-by-step explanation:

area for formula of a circle

[tex] {r}^{2} \pi[/tex]

we can now plug in the radius to solve

[tex] {8}^{2} \pi \\ 64\pi \\ 201.062[/tex]

that is the answer

- kan Academy Advance

NEED HELP FAST! will mark Brain if first! Question 5!

Answers

Answer:

[tex]\boxed{\sf x = 11.7}[/tex]

[tex]\boxed{\sf b = 9.4}[/tex]

Sine Rule states:

[tex]\sf sin(x) = \dfrac{opposite}{hypotenuse}[/tex]

[tex]\hookrightarrow \sf sin(51) = \dfrac{x}{15}[/tex]

[tex]\hookrightarrow \sf x = 15sin(51)[/tex]

[tex]\hookrightarrow \sf x = 11.657 \ \ \approx \quad 11.7[/tex]

Additional, cosine rule:

[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]

[tex]\hookrightarrow \sf cos(51) = \dfrac{b}{15}[/tex]

[tex]\hookrightarrow \sf b = 15cos(51)[/tex]

[tex]\hookrightarrow \sf b = 9.4398 \quad \approx \ \ 9.4[/tex]

evaluate for f(6), show all work

Answers

Answer:

32

Step-by-step explanation:

f(6)=6^2-4

f(6)=36-4

f(6)=32

Answer:

f(6)=32

Step-by-step explanation:f(6)=6^2 -4

f(6)=36-4

f(6)=32

What is the area of a rectangle with a length of 3in and a with of 5 square root of 2

Answers

Answer:

The area of the rectangle = 15√2 in²

Step-by-step explanation:

What is the area of a rectangle with a length of 3in

and a width of 5√2.

……………………………………………

FORMULA :

area of a rectangle = length × width

===============================

Then

The area of the rectangle = 3 × 5√2 = 15√2

find the sum of 1+2-3+4+5-6+7+8-9+...+97+98-99

Answers

Answer:

Hi,

Step-by-step explanation:

Let's make group of 3 numbers

1+2-3=0

4+5-6=3

7+8-9=6

...

97+98-99=96

s=1+2-3+....+97+98-99=0+3+6+..+96=3*(0+1+2+3+...+32)

=3*(32+0)*33/2

=1584

Angela bought a bookmark in the shape of an arrow as shown below. The base and height of the triangle are both 3 inches.

Answers

The area of a 2D form is the amount of space within its perimeter. The area of the arrow is 11.25 in².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

For the given problem, the image is given below.

The area of the arrow is,

Area =  Area of rectangle + Area of triangle

        = (1.5 in × 4.5 in) + (0.5×3×3)

        = 6.75 in² + 4.5 in²

        = 11.25 in²

Hence, the area of the arrow is 11.25 in².

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The interior angles of a pentagon are 126°, 114°, y°, and 83°. Find the value of y°?

please can someone help me with the answer to this question pls
am preparing for my WASSCE(west Africa senior school certificate examination) which is going to be held tomorrow
pls can someone help me​

Answers

Answer:

217

Step-by-step explanation:

angles in a pentagon =540°

y°+126°+114°+83°=540°

y°+323°=540°

y°=540°-323°

y°=217°

Find the dependent value
for the graph
y = 15 - 3x
when the independent value is 2.
= [?]

Answers

The dependent value for the graph given the independent value is 9.

What is the dependent value?

The independent variable is the variable that explains the dependent variable. The dependent variable is the value that the independent variable determines.

The dependent variable is y and the independent variable is x.

y = 15 - 3(2)

y = 15 - 6

y = 9.

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The first two boxes I get but the last box I don’t know where to go for it

Answers

Answer:

add the size plus

Step-by-step explanation:

Sunday if you add sox

What is the greatest common factor of
15x^7y^5+5x^5y^4-20x^6y

Answers

Answer:

5x^5y

Step-by-step explanation:

guys pls help me i will give brain list pls help me out
if someone could please help me i will be sending more so plsss i need help

Answers

Answer:

200

Step-by-step explanation:

Find the equation of the line in slope-intercept form containing the two points: (−1,5) and )(4,−3) Leave equation in fractional form.

Answers

Answer:

y = 1.6x + 3.4

Step-by-step explanation:

We have to use the equation y = m x + c to find the equation of the line.

Here,

m ⇒ slope

c ⇒ y-intercept

First, let us find the slope.

For that, we can use the given two coordinates.

( -1 , 5 ) ⇒ ( x₁ , y₁ )

( 4 , -3 )  ⇒ ( x₂ , y₂ )

The formula to find the slope of a line is :

m = ( y₁ - y₂ ) ÷ ( x₁ - x₂ )

Let us solve now.

m = ( y₁ - y₂ ) ÷ ( x₁ - x₂ )

m = ( 5 - ( -3 ) ) ÷ ( -1 - 4 )

m = ( 5 + 3 ) ÷ -5

m = 8 ÷ -5

m = -1.6

Now let us find the y-intercept (c ) of the line.

For that, let us get one of the coordinates which are given in the question.

I'll get ( -1 , 5 ) from  that.

( -1 , 5 ) ⇒ ( x , y )

Let us solve now.

y = mx + c

5 = -1.6 × -1 + c

5 = 1.6 + c

5 - 1.6 = c

3.4 = c

Therefore,

m ⇒ -1.6

c ⇒ 3.4

So, the equation of the line is :

y = mx + c

y = 1.6x + 3.4

Which of the following is the graph of y = sine (4 (x minus pi))?

Answers

Answer:

Below is an array showing the x values, and phase shifts that occur in the graph of the equation.

[tex]~~~~~x~~~~f(x)\\\\\left[\begin{array}{cc}\pi &0 &\frac{9\pi }{8} &1\\\frac{5\pi }{4} &0&\frac{11\pi }{8} &-1&\frac{3\pi }{2}&0 \end{array}\right][/tex]

Answer:

Graph A

Step-by-step explanation:

Got 100% on edge

Emi computes the mean and variance for the population data set 87, 46, 90, 78, and 89. She finds the mean is 78. Her steps for finding the variance are shown below.


What is the first error she made in computing the variance?

Emi failed to find the difference of 89 - 78 correctly.

Emi divided by N - 1 instead of N.

Emi evaluated (46 - 78)^2 as -(32)^2.

Emi forgot to take the square root of -135.6.

Answers

The error she made is Emi evaluated (46-78)² as - (32)² is wrong.

What is variance?

Variance is calculated as the average of squared differences of the data observations from the mean.

Given data: 87, 46, 90, 78, and 89.

Here, the first Emi find the difference of 89 - 78 correctly.

Now, Emi division is also correct.

Now, Emi evaluated (46 - 78)^2 as -(32)^2 is wrong.

(46-78)² = (-32)²

Here she used the negative sign outside.

Hence, Emi evaluated (46 - 78)^2 as -(32)^2 is wrong.

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Answer:

C.) Emi evaluated (46 - 78)2 as -(32)2.

Step-by-step explanation:

Question 7 of 25
All else being equal, a study with which margin of error would give you the
most confidence in the results?
O A. 13 percentage points
OB. +12 percentage points
OC. 19 percentage points
OD. 16 percentage points
SUBMIT

Answers

Answer:

+12 percentage points

Step-by-step explanation:

All options have positive percentage in themselves

So lesser marginal error should be more applicable as lower the marginal errors lower the probability of doing mistakes so higher marks .

Option B

what is the product of the binomals below (2x+3) (3x+3)

Answers

Answer:

[tex]3*(2x+3)*(x+1)[/tex]

Step-by-step explanation:

pull like terms from the problem to re-arrange it into a product

[tex]\left(2x+3\right)\left(3x+3\right)\\3x + 3 = 3 \cdot (x + 1)\\3 \cdot (2x + 3) \cdot (x + 1)\\[/tex]

help help help help help

Answers

it's 8! range is just the greatest value minus the lowest value
(=^_^=)

The mean age of a group of students is 16. John joins the group and the mean age changes to 18. How old is john ?

Answers

Answer:

John is 20 years old.

Step-by-step explanation:

Given the second mean is 18, it is equal to the first mean age plus John's unknown age. The sum is also divided by 2 because there are 2 values in the sum (1. John's age and 2. the mean, 16 yrs old).

Set up an equation: [tex]\frac{x+16}{2}=18[/tex]

multiply both sides by 2: [tex]x+16=36[/tex]

simplify: [tex]x=20[/tex]

a computer purchased for $2 500 and its value depreciates at 5% per month. a).write the equation that models the situation. explain what each equation represent. b) determine the value of the computer after 2 years. c) in which month after it is purchased does the computer's worth fall below $1 000?

Answers

Answer:

a(y=-5x+2500) b(2,380) c(25months)

Step-by-step explanation:

someone point out if I'm wrong. I'm not so sure about "c".

(how I got b)

So 2 years=24 months

y=-5x+2500

So x would be 24.

-5(24)+2500

-120+2500

2,380

Lily has 655 coins that she wants to divide evenly for her 13 grandchildren.
How many coins will each grandchild receive? Will there be any leftover?
250

Answers

Answer:

Step-by-step explanation:

Each grandchild will receive 655/13 = 50 with 5 coins left over. She can keep the 5 coins and start again.

Answer

50 coins for each grandchild5 left over.

Answer:

50 coins for each grandchild

5 left over.

Step-by-step explanation:

13x50=650

655-650=5

Suav left his house at time zero and drove to the store, which is 8 blocks away, at a speed of 4 blocks per minute. Then he stopped and went into the store for 2 minutes. From there, he drove in the same direction at a speed of 4 blocks per minute until he got to the bank, which is 16 blocks away from the store. He stopped at the bank for 4 minutes. Then he drove home at a speed of 6 blocks every minute. Make a graph of showing the number of blocks away from home that Suav is xx minutes after he leaves his house, until he gets back home.

Answers

The graph for Suav's trip is attached along with the values derived from the information provided.

What is the explanation for the graph?

The key to understanding the graph is that every time spent while he was on the way to the back and back are all added cumulatively.

So when he stops at the store which is 8 blocks away from home, the time spent is recorded as 4 + 2 at location 8 blocks.

It is also to be noted that the time spent is plotted on the x-axis and the blocks away from home on the y-axis.

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A jar has 9 pennies.
3 nickels, 8 dimes, and
5 quarters. A coin is chosen
at random, not replaced
then another is chosen.
Find the probability that
a quarter was chosen
followed by a penny,

Answers

Answer:

the answer to this question is 3/40

Step-by-step explanation:

if you want my explanation you ca

Which of the following expressions is equivalent to 14xy – 28x – 36y + 48? 2(7x – 6)(y – 2)(3y + 4) 2(7x – 6)(y – 2)(3y – 4) 2[7x(y – 2) – 6(3y – 4)] 2[7x(y – 2) – 6(3y + 4)]

Answers

The expression that is equivalent to 14xy – 28x – 36y + 48 is 2[7x(y-2)-6(3y-4)]

Factorizing expressions

Factorization is a way of separating the equations into two separate factors.

Given the expression below;

14xy – 28x – 36y + 48

Group

(14xy – 28x) – (36y + 48)

14x(y - 2) - 12(3y-4)

Factor out the value of 2 from both terms

2[7x(y-2)-6(3y-4)]

Hence the expression that is equivalent to 14xy – 28x – 36y + 48 is 2[7x(y-2)-6(3y-4)]

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Answer:

2[7x(y – 2) – 6(3y – 4)]

Step-by-step explanation:

I got it right on the test.

Multiple 4 by w then subtract v from the result

Answers

Answer:

4w-v

Step-by-step explanation:

Let the number be w.

Multiplying by 4:

4w

Subtracting v,

4w-v

Why is P(A) •P(B/A) = P(B) • P(A/B)
HELP ME QUICK ASAP

Answers

Answer:

rawrrrrrrrrrrrrrrrrr

Step-by-step explanation:

Why is P(A) •P(B/A) = P(B) • P(A/B)

P/B + P = A

P/B/P

- A

Look at the set of quadrilaterals in the coordinate plane shown below.



Which statement is TRUE?


Because quadrilateral ABCD can be reflected across the x-axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.

Because quadrilateral ABCD can be reflected across the x -axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D' .

Because quadrilateral ABCD can be reflected across the y-axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 1.5 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.

Because quadrilateral ABCD can be reflected across the y -axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 1.5 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D' .

Because quadrilateral ABCD can be reflected across the x-axis, then rotated 90° clockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.

Because quadrilateral ABCD can be reflected across the x -axis, then rotated 90° clockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D' .

Because quadrilateral ABCD can be reflected across the line y = x, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 1.5 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.Look at the set of quadrilaterals in the coordinate plane shown below.



Which statement is TRUE?


Because quadrilateral ABCD can be reflected across the x-axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.

Because quadrilateral ABCD can be reflected across the x -axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D' .

Because quadrilateral ABCD can be reflected across the y-axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 1.5 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.

Because quadrilateral ABCD can be reflected across the y -axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 1.5 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D' .

Because quadrilateral ABCD can be reflected across the x-axis, then rotated 90° clockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.

Because quadrilateral ABCD can be reflected across the x -axis, then rotated 90° clockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D' .

Because quadrilateral ABCD can be reflected across the line y = x, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 1.5 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.

Answers

The true statement about the set of quadrilaterals in the coordinate plane is B. Because quadrilateral ABCD can be reflected across the x -axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.

What is a quadrilateral?

A quadrilateral is a polygon having four sides, four angles, and four vertices.

In this case, because quadrilateral ABCD can be reflected across the x -axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.

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Which rule describes a translation 3 units down?A (x, y) (x+3, y + 3)B (x, y) (x, y - 3)(x, y) (x, y + 3)D (x, y) (x, -3y) Joe started 125 miles in 5 hours. How many miles would travel in 1 hour Justina..........a lot of instances to support her claim answer please [tex]1. \frac{1}{3} + \frac{3}{2} + \frac{6}{5} - \frac{1}{2 = } [/tex][tex]2. \frac{7}{5} - \frac{4}{2} + \frac{4}{5} - \frac{3}{2} = [/tex][tex]3. \frac{9}{8} + \frac{7}{8} - \frac{6}{7} + \frac{8}{7} + \frac{1}{3} = [/tex][tex]4. \frac{11 }{8} + \frac{11}{5} + \frac{8}{5} - \frac{9}{6} - \frac{5}{3} = [/tex]can you please solve it The American Neutrality Acts were a result of which of the following policies: A) Nazism B) Isolationism C) Cultural Ties D) Lending and Leasing A total of 388 tickets were sold for the school play they were either adult tickets or student tickets the number of student tickets sold was three times the number of adult tickets sold how many adult tickets were sold Map of europe and asia showing marco polo's route in red dashes and arrows. based on the map, which arabian city will marco polo describe after kalhat if he continues northwest across the arabian sea? arabia hormuz socotra venice Which of the following statements correctly relate to a fable? Select all that apply.Human characters talk and act like metaphorical animals.The story and setting can be a simple fairy tale.Animal characters talk and act like humans.Political leaders are praised with propaganda. Write the prime for factorization of 4 Financial Literacy Budget What is the total number of different 10-letter arrangements that can be formed using the letters in the word FORGETTING? The Niagara Falls ferris wheel has a diameter of 48 meters, and one revolution takes 2.25 minutes to complete. Riders can see Niagara falls if they are higher than 41 meters above the ground. What are the time intervals when the rider can see Niagara Falls if they complete 3 complete revolutions, if the rider gets on at a height of 0.5 m at t=0 min? in a class there are 8 students who play football and cricket, 4 students who do not play football or cricket,14 students who play football and 20 students who play cricketfind the probability that a student chosen at random plays football or cricket or both what is the slope of (4, 6) and (0, 2) Name all the angles. A. 3 acute angles, 2 right angles B. 2 acute angles, 3 right angles C. 2 right angles, 2 obtuse angles, 1 acute angle D. 2 obtuse angles, 2 acute angles, 1 right angle Wollongong City council is interested in the growing tourism market and opens an office to launch services for people who travel on holidays and cannot look after their properties (houses or units) while they are away. This new office currently has 200 employees whose PCs are linked by a small LAN. Each PC shares files and also services (such as printing) with the others on the LAN. What type of network model is suitable to build a small LAN for this new office? How can you protect your LAN from Malware attacks? What was the purpose of the New Deal organization, the U.S. Securities andExchange Commission?A. To monitor and regulate the trading of financial investmentsB. To employ unemployed farmers in public serviceC. To protect citizens' savings deposited in banksD. To rebuild old and damaged public works Which of the following relies on thepeople to create change?A. a democracyB. an oligarchyC. a dictatorship Which statement best describes a theme shared by both ofthese stories?O Mistakes often result in powerful lessons.OThere is always a chance of failing when one takesa risk.OThe pursuit of new experiences can be quiteexciting.O Attitude and opportunity can spark exploration. A number multiplied by third of itself makes the product 10584, what is the number ?