Write the number 45.78 trillion in scientific notation.

Answers

Answer 1
Without scientific notation it would look like 4 000 000 000 000 
The decimal place must be moved 12 units to the left to be after a significant figure, thus giving the scientific notation to the power of 12. The significant figure is 4 so you get the equation 4.0⋅1012.



Related Questions

Look at the graph of f(x)=x^2+6x+10. What is the average rate of change between {1,3}?

Answers

this equals [f(3) - f(1)]  / [3-1]

=  3^2 + 6(3) + 10 - (1^2 + 6(1) + 10)  / 2

=   (37 - 17) / 2

= 10 Answer

Estimate the amount of gas left in this cars gas tank with a fraction

Answers

It looks a little less than 1/2 or 4/8, so probably 3/8 of the gas is left.

The amount of gas left in this car's gas tank with a fraction of probably 3/8.

What are proper and improper fractions and how to convert mixed fractions to simple fractions?

There is a fraction, containing a numerator(upper value) and denominator(lower value).  When the numerator is less than the denominator, the fraction is called a proper fraction, otherwise, it is called an improper fraction. A proper fraction is also called a fraction that is less than 1.

We need to find the approx amount of gas left in this car's gas tank with a fraction.

So, the diagram shows the three levels as empty, half, and then full  

We can see that the mark is a little less than half and greater than empty.

So it should be lies between  0 to 1/2.

Therefore, the amount of gas left in this car's gas tank with a fraction of probably 3/8.

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what is 2a^2-14=-24 factored

Answers

The answer:  "(a − 4)(a − 3) = 0" ; 
______________________________________
→ {assuming the question meant to be written as:
       "What is:  2a² − 14x= -24 ; factored?" } ;
______________________________________
Explanation:
______________________________________
Given:  " 2a² − 14x= -24  ";  factor this equation ;
______________________________________
Simplify the equation by dividing the entire equation (each side) by "2" ;
______________________________________
               { 2a² − 14x = -24 } / 2 =

              a² − 7 = -12 

Now, add "12" to each side of the equation:
____________________________________
              a² − 7x + 12 = -12 + 12 ;

to get:
                  a² − 7 + 12 = 0 ;
__________________________________
Now, what factors of "12"; when added together, equal "-7"?

6, 2 = 8
-6 -2 = -2, 
12, 1 = 13,
-12 -1 = 12
4, 3 = 7,
-4 -3 = -7 .
________________________________________
So;   "a² − 7x + 12 = 0" ;  factors to:
________________________________________
       "(a − 4)(a − 3) = 0 " .
________________________________________
        {The solutions are:  a = 4 ; and:  a = 3} .
________________________________________

What is the value of the digits 5 in 75

Answers

The value of the digit 5 in 75 is in the ones place, because there are seven tens, and five ones.
It's 5. We know this because there are 5 ones in the ones place. Five ones is 5

allison has 5 times as many baseball cards as football cards.in all,she has 120 baseball and football cards.how many baseball cards does she have?

Answers

If Allison has x football cards she will have 5x baseball cards. 
So x + 5x = 120 
6x = 120 
x = 120/6 = 20 
Allison 5x baseball cards so 20*5 = 100 baseball cards

Out of the total of 120 cards, Allison has 100 baseball cards.

Allison has a total of 120 baseball and football cards.

The baseball cards are 5 times the football cards so assuming the football cards were denoted as x, the baseball cards would be denoted as:

= 5 × x

= 5x

The cards in her possession can be found by solving for x:

Baseball cards + Football cards = 120

5x + x = 120

6x = 120

x = 120 / 6

x = 20 football cards

Baseball cards:

= 5x

= 5 x 20

= 100 baseball cards

In conclusion, she has 100 baseball cards.

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Solve for x: |2x + 6| − 4 = 20

Answers

the answer is x= 9 or x=-15
| 2x +6 |= 16
2x+6 =16  or 2x+6 = -16
2x=10 or 2x= 22
x= 5  or x=11

Joshua's goal is to sell more than 20 items at a farmers' market. So far, he has sold 6 items. Each of his customers buys 2 items. Let c represent the number of additional customers Joshua must have to meet his goal. Drag and drop the answer into the box to correctly complete the statement.

Answers

Final answer:

Joshua needs 17 additional customers to meet his goal of selling more than 20 items at the farmers' market.

Explanation:

To find the number of additional customers Joshua must have to meet his goal, we first need to calculate the number of items he has already sold. Joshua has sold 6 items, and each customer buys 2 items. So, the number of customers Joshua has served is 6 / 2 = 3 customers.

To meet his goal of selling more than 20 items, Joshua would need to have c additional customers. Therefore, the number of additional customers is 20 - 3 = 17 customers.

Final answer:

Joshua has sold 6 items and each customer buys 2. To meet his goal of selling more than 20 items, he must solve the inequality 6 + (2 × c) > 20 to find the number of additional customers needed. After solving, he needs more than 7 additional customers.

Explanation:

The subject question involves creating an algebraic expression to help Joshua determine the number of additional customers he must have to meet his goal of selling more than 20 items at a farmers' market. Joshua has already sold 6 items, and each customer buys 2 items. We let c represent the number of additional customers Joshua needs. To solve this problem, we need to create an algebraic equation and solve it for c.

Joshua's goal: sell > 20 items
Joshua's current sales: 6 items
Items per customer: 2 items
Additional customers needed: c

The equation will be:
6 + (2 × c) > 20
To find c, we subtract 6 from both sides of the inequality:
(2 × c) > 14
Then we divide both sides by 2:
c > 7

Therefore, Joshua needs more than 7 additional customers to meet his goal of selling more than 20 items.

Find the length of XZ
geometry help

Answers

so all the sides are equal so you'd want to set 2x = (5/2)x - 5. then solve the equation and x = 10

to solves the equation first subraxt (5/2)x from both sides and you wnd up with -0.5x = -5 then divide by -0.5 to get x = 10
hope this helped!

what is the rule for this sequence? 1, 4, 16, 64, 256

Answers

Every time you multiply by 4.
1 * 4 = 4
4 * 4 = 16
16 * 4 = 256
and so on.

Hope this helps!

Final answer:

The rule for the given sequence is to multiply the previous term by 4. The sequence follows a pattern of 4 raised to the power of increasing integers starting from 0.

Explanation:

The sequence given is 1, 4, 16, 64, 256. To find the rule for this sequence, let’s examine the relationship between the consecutive numbers.

1 multiplied by 4 is 4

4 multiplied by 4 is 16

16 multiplied by 4 is 64

64 multiplied by 4 is 256

So, the rule for this sequence is to multiply the previous term by 4 to get the next term. Another way to express this is that each term is 4 to the power of n, where n is an increasing integer starting from 0 (4^0 = 1, 4^1 = 4, 4^2 = 16, and so on).

40 POINTER PLZ HELP

Answers

I would say the answer to your question is Edge gym in Westport.



this may not be right but hopefully it is.
Have a Good Evening!
-Nana

SungHee empties her piggy bank and finds that she has 200 quaters,150 dimes,and 300 pennies.How much money does she have?Explain

Answers

9,800 coins or somethin
thats what i got.

If x-2 is a factor of x^2+3x+k, what is the value of k?

Answers

take x-2=0

x=2

put the value of x in the equation

2^2 + 3(2) + k =0
4+6+k=0
10+k=0
k= -10

hope you understand

A function is shown below:

f(x) = (0.07)x

What does the function represent?
A. Exponential growth of 7%
B. Exponential decay of 7%
C .Exponential growth of 93%
D. Exponential decay of 93%

Answers

the function represents an exponential decay of 93%, as the number will enormously decrease in 0.93.

Answer:

D. Exponential decay of 93%

Step-by-step explanation:

We are given an exponential function [tex]f(x) = (0.07)^x[/tex].

We know, the standard exponential function [tex]y= a(b)^x[/tex], where a is the initial value and b is growth factor.

If b is greater than 1, then it would be an Exponential growth and if  b is less  than 1, then it would be an Exponential decay.

Also b= 1+r,  where r is the rate of decay or growth.

For the given function [tex]f(x) = (0.07)^x[/tex], we can see than b= 0.07.

0.07 is less than 1.

Therefore, it would be an Exponential decay.

Now, let us find rate of decay.

1+r = 0.07.

Subtracting both sides by 1, we get

r = 0.07-1 = -0.93.

In percentage it would be 93%.

Therefore, correct option would be

D. Exponential decay of 93%





Shana uses a probability simulator to pull colored stars from a bag 60 times and to flip a coin 60 times. The results are shown in the tables below:

Color of Star

Number of Times Pulled

Pink
17

Yellow
19

Violet
24

Heads 26

Tails 34

Using Shana's simulation, what is the probability of pulling a pink star and the coin landing on tails?
fraction 578 over 3,600
fraction 646 over 3,600
fraction 34 over 60
fraction 51 over 60

Answers

17/60x34/60=578/3600
So I think it is A. 

Hope I helped you (: 

What is LCD of the fraction 1/3 and 3 1/4

Answers

LCD = 12
Thanks (:
!!!!!!!!
Answer:  The LCD (lowest common denominator) of the fractions "1/3" and "1/4" is:  "12" .
_____________________________________________________

Help me with this problem 9x-(2x+8)=. And show your work? I'll be giving BRAINILEST!

Answers

So first, you want to open the parenthesis here.

So, to do that, first look at the symbol before the parenthesis.

In this case it's a -.

So when it's a -, reverse the symbol inside the parenthesis. (This is because if you don't you're subtracting 2x and then adding 8, when really you're subtracting both 2x and 8.)

So,

9x - 2x - 8

Or simplified,

7x - 8
9x - 2x + 8

7x + 8 is your answer

hope this helps

Tonya packed different boxes with unit cubes. Which box has a volume of 16 cubic units?

Answers

The fourth one (The small one).

Answer:

the smallest

Step-by-step explanation:

Graph y-5=-2/3(x+9)
50 points !!!

Answers

Here is the graph. A way you could graph this is notice how this equation is in point-slope form.

A line that passes through (x1, y1) and has slope m
y - y1 = m(x - x1)

Using the equation, you could find out that the line has a slope of -2/3 and passes through the point  (-9,5).

Have an awesome day!

the product of 3x and (3x+1) is a t least 35

Answers

Product means the sum of two things i.e. the product of 1 and 2 is 3 (1 + 2 = 3)

So the product of 3x and (3x+1) can be written as:
35 < 3x + 3x + 1
^ Greater than 35 i.e. at least 35
35 < 6x + 1
34 < 6x
34/6 < x
17/3 < x
5.67 (2dp) < x

Tyler has 3/4 of a month to write a book report. He finished the book in 2/3 that time. How much time did it take Tyler to write the report?

Answers

It took him basically two weeks to write the report.

Use multiplication to solve the proportion. Y/9=44/54. What is Y

Answers

Y/9=44/54
9(Y/9)=9(44/54)
Y=7 1/3 or 22/3
Final answer:

To solve the given proportion using multiplication, cross-multiply by multiplying the numerators and denominators, and then divide to find the value of Y, which is approximately 7.33.

Explanation:

In mathematics, a proportion is an equation stating that two ratios are equal. It expresses the relationship between quantities. For example, if a/b = c/d, where b and d are not zero, it forms a proportion.

To solve the proportion Y/9 = 44/54 using multiplication, we can cross-multiply.

Multiply 9 by 44 and then divide by 54 to find Y

9 * 44 = 396

396 / 54 = 7.33

So, Y is approximately 7.33

You are painting the outside of a 28 -foot fence that goes around a square garden. There are 4 equal sections. You have painted 12 of one section. What fraction of the job have you completed?

Answers

answer is 12/4
because 4 sections are there

If a number is ____, then the number is less than its absolute value. (Can you help me fill in the blank?in class we were learning about positive and negative numbers such as -5 and 5 and/or +5)
Thank you!

Answers

It would be negative.

Absolute value is basically asking how far away something is from 0.

So say you had a number, 7. 7's distance from 0 is 7, so it would still be 7.

However, when absolute value really plays in is negative numbers. If you had -7, the distance from 0 would still be 7. It wouldn't be -7, so the absolute value of -7 would be 7.

And a negative version of a number is always less than the positive number.

Hope this helped!

Find the extraneous solution of the equation |2x−10|=−3x

Answers

|2x - 10| = -3x
Open absolute value symbol
2x - 10 = 3x
OR
2x - 10 = -3x

x = -10
OR
x = 2

Plug them in...
|2(-10) - 10| = -3(-10)
30 = 30
x = -10 is not the extraneous solution.

|2(2) - 10| = -3(2)
6 ≠ -6
x=2 is the extraneous solution.
Have an awesome day! :)
Final answer:

For the equation |2x−10|=−3x, the absolute value cannot be negative, therefore there is no valid solution. Any solution derived would be considered an extraneous solution. Extraneous solutions are those that appear during the solving process but are not valid.

Explanation:

The given equation is a mathematical expression |2x−10|=−3x. However, it should be noted that the absolute value of a number cannot be negative, so technically, there is no solution to this equation. This means the equation doesn't have a valid solution, but rather an extraneous solution.

An extraneous solution often arises in the process of solving an equation but is not a true solution. They often appear when you square both sides of an equation, as this often introduces new solutions that weren't part of the original equation.

So, in this case, since the absolute value can not be negative, it is impossible for |2x - 10| to be equal to -3x. Hence, any solution derived from this equation would be considered an extraneous solution.

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What transformation takes f(x)= 4x−7 to g(x)= −4x−7 Question 1 options:
a reflection across the x-axis
a vertical shift 8 units down
a horizontal shift 8 units right
a reflection across the y-axis

Answers

A refelction across the y-axis
 Hope this helps:)

Answer:

A reflection across the x-axissssss

Step-by-step explanation:

I hope this helps!

- sincerelynini

GCF 6x and 20xyz please help

Answers

GCF stands for "greatest common factor". This means what is the largest quantity you can divide into 6x and 20xyz without a remainder. First see what is the biggest number you can divide 6 by and also 20 without having a remainder. Next, you should see which variables 6x and 20xyz have in common. variables are the (x,y, and z). Put these two values togther and this will be your GCF.
Final answer:

The Greatest Common Factor (GCF) of 6x and 20xyz is determined by factorizing both terms and finding the common factors. Through this process, we find that 2x is the GCF.

Explanation:

The question is asking for the Greatest Common Factor (GCF) of 6x and 20xyz. The GCF is the largest number or terms that divide both numbers exactly. To find the GCF, we usually list all the factors and select the largest one that is common to both. Let's break down the terms:

Write down the factorizations of each term, i.e., 6x= 2*3*x and 20xyz = 2*2*5*x*y*z.Find the common factors. In this case, we have 2 and x in common.2*x = 2x, so 2x is the GCF.

Therefore, the greatest common factor of 6x and 20xyz is 2x.

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Write a Doubles fact you can use to find the sum. Write the sum 2+3

Answers

3+3 is the answer to this

What do the numbers listed for an element on the periodic table represent?

The smaller number is the mass, and the greater number is the atomic number.
The smaller number is the number of protons, and the greater number is the mass.
The smaller number is the number of neutrons, and the greater number is the number of electrons.
The smaller number is the number of neutrons, and protons and the greater number is the number of electrons.

Answers

Im sure you have your answer by now but would you mind posting the answer

Answer:

The smaller number is the atomic number or the number of protons and the larger number is the atomic mass.

Explained:

The number with a lower value is the number of protons and the number with a higher value is the mass.

 

The periodic table is a tabular arrangement of the chemical elements, ordered by their atomic number (number of protons), electron configurations, and recurring chemical properties.

 

The correct answer between all the choices given is the first choice or letter A. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

The amount of money left in Alma’s bank account is expressed by the linear equation y = -27x + 577, where x represents the number of weeks and y represents the amount of money left in her account. After how many weeks will Alma have $145 left in her account?

Answers

Answer:

16

Step-by-step explanation:

Answer:

B: 16 weeks

Step-by-step explanation:

If we are given the equation y = -27x + 577 and that

x = weeks

y = money left in account

Then you must replace 145 (the money) for y and solve for x (the weeks)

145 = -27x + 577

145 - 577 = -27x + 577 - 577

-432 = -27x

-432/-27 = -27x/-27

16 = x

This means that after 16 weeks Alma will have $145 left in her account

Hope this helped!

dawn raises money for her school in a jog-a-thon. she will get three dollars for every lamp she completes. if it takes 4 laps to job 1 mile, and dawn jogs q total of 11 miles, how much money will dawn raise for her school?

Answers

Hi! this problem can be solved by using this format:

3$ every lap
4 laps = 1 mile
there are 11 miles

3$ * 4 * 11
and we get 132$
Hi, I would be happy to help you. 

You can multiply 11 miles by 4 laps, and you will get 44 laps in total. Then, you can do 44 x 3, and you will reach the answer of 132 dollars. 
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