Perform the following operation
and express the answer in
scientific notation.
4.0x105 x 3.0x103
[ ? ]x10!?)
![Perform The Following Operationand Express The Answer Inscientific Notation.4.0x105 X 3.0x103[ ? ]x10!?)](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/vCP9NkRFpIeva1cBbV1pNpUtGHuwVL71.png)
Answers
Answer:
Step-by-step explanation:
first step, multiply 4 and 3
4x3=12 , we write is 1.2x10
10^5 x10^3=10^8
4 x10^5 x 3 x 10^3= 1.2x10^9
The required answer is 1.20 x 10⁹ in scientific notation.
What is scientific notation?Scientific notation is a method of writing extremely large or extremely small numbers. When a number between 1 and 10 is multiplied by a power of 10, it is written in scientific notation.
Here,
To multiply two numbers in scientific notation, we multiply their coefficients and add their exponents. Applying this rule, we get:
= (4.0 x 10⁵) x (3.0 x 10³)
= (4.0 x 3.0) x (10³ x 10⁵)
= 12.0 x 10⁵⁺³
= 12.0 x 10⁸
However, the answer is not yet in proper scientific notation form because the coefficient 12.0 is not between 1 and 10. To express the answer in scientific notation, we need to adjust the coefficient and exponent so that the coefficient is between 1 and 10. We can do this by dividing the coefficient by 10 and increasing the exponent by 1. Doing this, we get:
12.0 x 10⁸ = 1.20 x 10⁹
Therefore, the answer is 1.20 x 10⁹ in scientific notation.
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Related Questions
Identify the slope and y intercept of the function y= -5x + 4.
A. The slope is 4.
The y-intercept is (0,5).
B. The slope is 4.
The y-intercept is (0, -5).
C. The slope is -5.
The y-intercept is (0,4).
D. The slope is 5.
The y-intercept is (0,4).
Answers
Formula of slope:
y=mx+b
Answer:
C.
Answer:C. The slope is -5.
The y-intercept is (0,4).
Step-by-step explanation:
A. The slope is 4.
The y-intercept is (0,5).
B. The slope is 4.
The y-intercept is (0, -5).
C. The slope is -5.
The y-intercept is (0,4).
D. The slope is 5.
The y-intercept is (0,4).
Hugo earns $2.00 for setting the table and $2.00 for washing the dishes. Let t be the number of times Hugo sets the table and let d be the number of times Hugo washes the dishes. Select all the expressions that could represent the total earned, E, in dollars, by Hugo *
2 points
A) E = 2(t + d)
B) E = 2t + 2d
C) E = 2t + d
D) E = 2 + td
Answers
B) E = 2t + 2d
Explanation:
t and d are being multiplied by 2 for the amount of work done by each.
Solve this simultaneous e
x + y = 26
3x + y = 56
Answers
Answer:
x= 15 and y= 11
Step-by-step explanation:
The goal here is to solve
x + y =26 and
3x + y =56 for the variables x and y.
First, let's work on your first equation, x + y =26
After this initial survey of the equations, the system of equations we'll set out to solve is:
x+y = 26 and 3x+y = 56
Let's start by solving x+y = 26 for the variable x.
Move the y to the right hand side by subtracting y from both sides, like this:
From the left hand side:
y - y = 0
The answer is x
From the right hand side:
The answer is 26-y
Now, the equation reads:
x = 26-y
To isolate the x, we have to divide both sides of the equation by the other variables
around the x on the left side of the equation.
and this is the final solution to your equation.
Next, let's solve 3x+y = 56 for the variable y.
Move the 3x to the right hand side by subtracting 3x from both sides, like this:
From the left hand side:
3x - 3x = 0
The answer is y
From the right hand side:
The answer is 56-3x
Now, the equation reads:
y = 56-3x
To isolate the y, we have to divide both sides of the equation by the other variables
around the y on the left side of the equation.
and this is the final solution to your equation.
Now, plug the earlier result, x=26-y, in for x everywhere it occurs in
y=56-3x.
This gives y=56-3(26-y). Now all we have to do is solve this for y,to have our first solution.
26-y evaluates to 26-y
Multiply 3 by 26-y
we multiply 3 by each term in 26-y term by term.
This is the distributive property of multiplication.
Multiply 3 and 26
1
3 × 26 = 78
Multiply 3 and -y
Multiply 1 and y
The y just gets copied along.
y
3 × -y = -3y
3*(26-y) evaluates to 78-3y
56 - 78 = -22
The answer is -22+3y
56-3*(26-y) evaluates to -22+3y
Move the 3y to the left hand side by subtracting 3y from both sides, like this:
From the left hand side:
y - 3y = -2y
The answer is -2y
From the right hand side:
3y - 3y = 0
The answer is -22
Now, the equation reads:
-2y = -22
To isolate the y, we have to divide both sides of the equation by the other variables
around the y on the left side of the equation.
The last step is to divide both sides of the equation by -2 like this:
To divide y by 1
The y just gets copied along in the numerator.
The answer is y
-2y ÷ -2 = y
-22 ÷ -2 = 11
The solution to your equation is:
y = 11
Lastly, to find the solution for x, we plug this answer for y into the earlier result that
x=26-y.
This gives x=26-(11). Now, simplify this.
26-(11) evaluates to 15
x= 15
So, the solutions to your equations are:
x= 15 and y= 11
Answer:
(15, 11 )
Step-by-step explanation:
Given the 2 equations
x + y = 26 → (1)
3x + y = 56 → (2)
Subtract (1) from (2) term by term to eliminate y, that is
2x = 30 ( divide both sides by 2 )
x = 15
Substitute x = 15 into either of the 2 equations and solve for y
Substituting into (1)
15 + y = 26 ( subtract 15 from both sides )
y = 11
solution is (15, 11 )
solve y (1/2)y+6=(3/4)y–4
Answers
Answer:
Y = 40
Step-by-step explanation:
Change 1/2 to 2/4
2/4 y + 6 = 3/4y - 4
subtract 2/4y
6 = 1/4y -4
add 4
10 = 1/4y
multiply by 4 to get fraction to 1y or y
y = 40
I GOT IT RIGHT ON MY QUIZ
Which graph best represents the equation y= 2/5x + 3
Answers
Answer:
I it is the one on the bottom.
Step-by-step explanation:
2x – 3y = -5
y = 2 + x
The value of y in the system of equations is:
y = -1.
y = -3.
y = 1.
y = 3
Answers
Answer:
y = 3
Step-by-step explanation:
2x-3y = -5 --------- (1)
y = 2+x ------- (2)
substitute (2) into (1)
2x-3y = -5
2x-3( 2+x ) = -5
2x-6-x = -5
2x-x = -5+6
x = 1
substitute x = 1 into (2)
y = 2+x
y = 2+1
y = 3
4t + 2u
w;t= 2 and u= 1
Answers
15
Step-by-step explanation:
4t + 2u²- u³
4×2=8
2×1=2²=8
1³=1
8+8-1
16-1=15
what is m% of n please help
Answers
m% of n would technically be some amount of n. To find m%, you would have to do n * 0.m to find your answer
You have $125 in a savings account and you deposit an equal amount into your account each week. After 5 weeks the account holds $170. Write an equation that represents the amount y (in dollars) of money in the account after x weeks.
Answers
Answer: 10x=y
Step-by-step explanation:
So if you subtract 170-125 you get 50. If you divide 50 by the 5 weeks you geat 10. So there is ten dollars a week going into the bank account.
What is the answer and plz give me step by step explaining
Answers
Explanation:
You start with 6 + 8(x - 1) = 2(3x + 4)
Wow. That looks like a lot, so you need to take it one step at a time. Because of PEMDAS (Please Excuse My Dear Aunt Sally), which gives us the order of Parentheses (), Exponents(Baby Numbers), Multiply or Divide from left to right according to where it is in the problem, and Add or Subtract from left to right according to where it is in the problem, you need to look at your parentheses first. Let’s start with
8(x - 1). 8 is touching those parentheses all by itself, so it’s being multiplied with the stuff in the parentheses. 8 times x is 8x and 8 times 1 is 8. That gives you
6 + 8x - 8 = 2(3x + 4)
Do the same thing with 2(3x + 4). 2 is touching those parentheses all by itself so you multiply it by the stuff inside to get 6x + 8. You now have
6 + 8x - 8 = 6x + 8
But where do we go from here? Okay well what you’re trying to do is get a single x by itself on one side of the equals and the answer on the other side. So, we have
6 + 8x - 8 = 6x + 8
Let’s start on the left side with 6 + and - 8. If you have 6 and you take 8 away, you can’t because you’ll still need 2, so 6 - 8 = -2. That leaves you with
8x - 2 = 6x + 8
Then, you take the 6x from the right side and add it to the 8x on the left. You have 14x. This gives you
14x - 2 = 8
Look at -2. We want to get rid of that, so we would do the opposite of - which is + so we would add.
14x - 2 = 8
+ 2 + 2
——————
14x = 10
Now look at 14x, which is the same as 14 times x. The opposite of multiplying is dividing so divide.
14x = 10
/14 /14
X = 10/14 which simplifies into 5/7
Which of the following slopes of a line passes through points (2, 3) and (4,7) ?
5
2
3
O
Answers
Answer:
2
Step-by-step explanation:
slope = (difference in y)/(difference in x)
slope = (7 - 3)/(4 - 2)
slope = 4/2 = 2
Answer: 2
1
For every 2 teaspoons of white vinegar in a jar of homemade glue, there are 5 tablespoons of
cornstarch. How many teaspoons of white vinegar are there for every tablespoon of cornstarch?
A. 1
5
В.
C 1
D. 5
Answers
The number of teaspoons of white vinegar are there for every tablespoon of cornstarch is 0.4.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, for every 2 teaspoons of white vinegar in a jar of homemade glue, there are 5 tablespoons of cornstarch.
The number of teaspoons of white vinegar are there for every tablespoon of cornstarch = 2/5
= 0.4
Therefore, the number of teaspoons of white vinegar are there for every tablespoon of cornstarch is 0.4.
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Are the following equations parallel, perpendicular, or neither? y= 3x - 1 and y =
-1/3x + 10 *
Parallel
Perpendicular
Neither
Answers
Answer:
Perpendicular
Step-by-step explanation:
Answer this question correctly and I will give you brainlyist, 5.0 rating, and thanks. The question that you need to answer is in the screenshots below.
Answers
Answer:
so it should be D because after you check them all D is the only one that the watch would actually cost $50- sorry for the confusing ecplanation but im like 99.99999% sure its right
Step-by-step explanation:
I need this done quick pls.
Answers
Answer:
58º
Step-by-step explanation:
The sum of a triangle's interior angles is 180º. We know two interior angles, and we can solve from there: 180-(65+57)=180-65-57=180-180-122=58.
How to I write 1 2/3 as an improper fraction help ASAP
Answers
[ 5/3 ]
A decking company estimates how many gallons of stain each deck requires before starting construction. Apart from knowing the total area of each deck, which additional quantity will allow the decking company to make an accurate estimation
Answers
Answer:
Concept: Engineering Statistics
To make accurate estimations they need the total volume of the area.Hence they need the area coverage by the selected stain.Solution: Are covered by each gallon of stain This provides an accurate representation to a significant figure.Do you think one act of kindness has the power to spread more kindness? Why or Why not?
Im just lazy pls help
Answers
Answer:
yes
Step-by-step explanation:
if you do one good thing for someone eles they would want other people to feel the same way
Answer:
yes because the person is going to feel comfortable and spread kindness to others :)
Step-by-step explanation:
5/12<__<3/4 what answer goes in the blank
Answers
Answer:
We have:
5/12<__<3/4
To complete the blank, we need to find a number that is larger than 5/12, but smaller than 3/4.
This is ratter easy, the first step would be to write both limits with the same denominator.
we can rewrite the upper one as:
3/4 = (3/3)*(3/4) = 9/12
Where we multiplied the numerator and denominator by the same number, 3.
Now we have:
5/12 < < 9/12
Then in the blank, we could input any number like:
5/12 + 1/12 = 6/12
6/12 is larger than 5/12, but smaller than 9/12
We also could use 7/12, or 8/12.
And those are the ones easy to find, actually, there are infinite numbers that can fill the blank.
Then to complete the answer we will write:
5/12 > 6/12 > 9/12
The cost, including sales tax, of a Ford Focus SE is $19,392.70. If the sales tax is 6%, find the cost of the car before the tax was added.
Answers
Answer:
the price before taxes was $18,229.13
Step-by-step explanation:
Nick earns 3.5%
commission on every
car he sells. How much
would he earn if he sold
a $14.000 car?
Answers
The amount he would earn is $490.
What does multiplication mean?
Multiplication is the process of determining the product of a number. It is determined by following some mathematical processes. The sign used to represent multiplication is ×.
How much will he earn?Commission = 3.5% x $14,000
0.035 x $14,000 = $490
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Can two fraction with the same numerator and different denominators be equal? Use words and numbers to explain.
Answers
Step-by-step explanation:
Since equivalent fractions do not always have the same numerator and denominator, one way to determine if two fractions are equivalent is to find a common denominator and rewrite each fraction with that denominator. Once the two fractions have the same denominator, you can check to see if the numerators are equal.
The two fractions with the same numerator and different denominators can not be equal.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A division number is a number that addresses the piece of the entire, where the entire can be any number. It is a numerator and a denominator.
The fraction is in the form of a numerator and denominator. The two fractions can be equal if and only if their numerator and denominator are equal.
The two divisions with similar numerators and various denominators can not be equivalent.
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HELP ME PLEASE WITH GIVE YOU BRANLEST 20 POINTS
Answers
Answer:
A: 1min 12sec B: 1 lap C: 25min and 12 sec
Step-by-step explanation:
A: 5/6 = 1/x (ratio of the laps and time)=1 min 12sec
B: 1 lap
C: 25 minutes and 12sec
Consider the following statements:
I. Multicollinearity is present when there is a high degree of linear correlation between the predictors.
II. A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: y-hat = 135 + 6x + errors. This implies that if the height is zero, the weight is 135 pounds in this linear model.
a. I is true and II is false.
b. I is false and II is true.
c. Both I and II are true.
d. Both I and II are false.
e. More information is needed for each statement in order to tell which is true or false.
Answers
Answer:
d. Both I and II are false
Step-by-step explanation:
When there is a high degree of linear correlation between the predictors the errors are found.
The basic objective of the regression model is to separate the dependent and independent variables. So if the variables have high degree of linear correlation then the multi collinearity causes problems or has errors. It is not necessary that multi collinearity must be present with high degree of linear correlation.
For example we have 3 variable of heat length and time. And all of them have a high degree of correlation. With increase in heat and time the length increases . But for multi collinearity with the increase of time and decrease of heat length does not increase. So this causes errors.
y-hat = 135 + 6x + errors
The linear relationship between height and weight is inexact. The deterministic relation in such cases is then modified to allow the inexact relationship between variables and a non deterministic or probabilistic model is obtained which has error which are unknown random errors.
y- hat= a + bXi + ei (i=1,2,3...)
ei are the unknown random errors.
So both statements are false.
I GIVE BRANLILSET
Maddie prepared 24 kilograms of dough after working 6 hours. How many hours did Maddie work if she prepared 40 kilograms of dough? Assume the relationship is directly proportional.
Answers
Answer:
10 hours
Step-by-step explanation:
24kg dough/6 hours = 4kg dough/hour
4kg dough / 1 hour
*10 *10 (multiply both sides by 10)
---------------------------
40kg dough/10hrs
a veternarian treated 7 dogs 13 cats 4 horses and three ferrert what was the percentage of his paitents were small animals
Answers
Answer:
As per your defention, horses are the only thing considered "not small". To find the percentage, you take the number of what you are trying to find the percentage of divided by the total number.
So, 7 dogs + 13 cats + 3 ferrets = 23 Small animals
7 dogs + 13 cats + 3 ferrets + 4 horses = 27 total animals.
So,
23/27 * 100
The reason we multiply by 100 is because the division gives us a decimal, and a percentage is a part out of 100.
So by doing the calculation we get
85.18%
Step-by-step explanation:
In a class of 12 boys and 8 girls, two students need to be chosen for classroom jobs.
What is the probability that Mary gets selected?
Answers
Answer:
55 percent chance or 11/20 or 0.55
Step-by-step explanation
Factor using grouping: x³+ 3x² + 5x = 15
Answers
1. Move all terms to one side of the equation, usually the left, using addition or subtraction.
2. Factor the equation completely.
3. Set each factor equal to zero, and solve.
4. List each solution from Step 3 as a solution to the original equation.
If the store paid $75 for a clarinet and sold it for $100, did the store mark up the price by 30%?
Answers
Answer:
No
Step-by-step explanation:
30% of $75 is $22.50 (0.3×75=22.5)
$75+$22.50=$97.50, not $100
So, the store did not mark up the price by 30% because the original price ($75) plus 30% more does not equal $100.
Answer:
no
Step-by-step explanation:
A line includes the points (-8,8) and (6,4). Select the correct point slope form equations of this line. (Remember there can be more than one)
Group of answer choices
y-8=(-2/7)(x+8)
y+8=(-2/7)(x-8)
y-4=(-2/7)(x-6)
Answers
Answer:
y-8=(-2/7)(x+8) and y-4=(-2/7)(x-6)
Step-by-step explanation:
Point slope form equation: y - y₁ = m(x - x₁)
m is the same for all your answer choices, so you can disregard that part.
First point: (-8,8)
x₁ = -8; y₁ = 8
Plug those values into the point slope form equation and you get:
y-8=(-2/7)(x+8)
Do the same for the second point, and you get:
y-4=(-2/7)(x-6)
Answer:
first and third options
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope- formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 8, 8) and (x₂, y₂ ) = (6, 4)
m = [tex]\frac{4-8}{6+8}[/tex] = [tex]\frac{-4}{14}[/tex] = - [tex]\frac{2}{7}[/tex]
using (a, b ) = (- 8, 8 ), then
y - 8 = - [tex]\frac{2}{7}[/tex] (x - (- 8) ) , that is
y - 8 = - [tex]\frac{2}{7}[/tex](x + 8) ← first option
using (a, b ) = (6, 4 ), then
y - 4 = - [tex]\frac{2}{7}[/tex] (x - 6) ← third option