The correct answer or scientific notation when 3.185× 10¹⁷ is divided by 9.1×10⁸ is 3.46×10⁸ and multiplying 3.185× 10¹⁷ with 9.1×10⁸ is 2.9×10²⁶.
It is given in the question that 3.185× 10¹⁷ is divided by 9.1×10⁸
we can write 3.185×10×10¹⁶ which equals 31.5×10¹⁶.
Now dividing 31.5×10¹⁶ by 9.1×10⁸ we get 3.46×10⁸.
Now multiplying 3.185× 10¹⁷ with 9.1×10⁸ we get 28.98×10²⁵
Converting 28.98×10²⁵ in scientific notation we get 2.9×10²⁶.
Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation and known as standard form in the UK .
In scientific notation, a representation of a number that is a power of ten can also be written with equal ease. Additionally, you'll see that the amount of zeros in a regular decimal expression is exactly equal to the power to which 10 is raised.
Any time a number is expressed in words, it must first be written down as a regular decimal number before being converted. "Ten million" becomes "10,000,000" and vice versa.Ten million is written in powers of ten notation because there are seven zeros in all.
To know more about 'scientific notation' related questions
visit- https://brainly.com/question/28876255
#SPJ9
how to solve a linear equation if x and y is zero
Answer:
0
Step-by-step explanation:
if we x and y = 0
if we have 3x + 3y= 0
a =? , b = 40 ft , C = 50 ft
Answer:
a = 30
Step-by-step explanation:
I am not exactly sure what the question is asking but if referring to right triangles, the Pythagorean theorem would work best.
Formula :
[tex]a^2 + b^2 = c^2\\\\[/tex]
Substitute values :
[tex]a^2 + 40^2 = 50^2\\a^2 + 1600 = 2500[/tex]
Solve for a:
[tex]a = \sqrt{2500 - 1600} \\a = 30[/tex]
** you could also use the 3:4:5 ratio
The figure shows right triangle MPR on the coordinate plane. Line segment MQ is
a median of the triangle.
What are the coordinates of point Q? Explain your answer. Using the information in the figure, show that the length of the median MQ is half the length of the hypotenuse of MRP. Provide an argument supported by valid mathematical
reasoning and/or calculations.
Answer:
see explanation
Step-by-step explanation:
the median is a segment that goes from the vertex of a triangle to the midpoint of the opposite side.
Then Q is the midpoint of PR
given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint M is
M = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ) ← midpoint formula
use this formula to find the coordinates of Q
with (x₁, y₁ ) = R (0, 2b ) and (x₂, y₂ ) = P (2a, 0 )
Q = ( [tex]\frac{0+2a}{2}[/tex] , [tex]\frac{2b+0}{2}[/tex] ) = ( [tex]\frac{2a}{2}[/tex] , [tex]\frac{2b}{2}[/tex] ) = (a, b )
---------------------------------------------------
use the distance formula to find the lengths of median MQ and hypotenuse PR of Δ MRP
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = M (0, 0 ) and (x₂, y₂ ) = Q (a, b )
MQ = [tex]\sqrt{(a-0)^2+(b-0)^2}[/tex] = [tex]\sqrt{a^2+b^2}[/tex]
repeat with (x₁, y₁ ) = P (2a, 0 ) and (x₂, y₂ ) = R (0, 2b )
PR = [tex]\sqrt{(0-2a)^2+(2b-0)^2}[/tex]
= [tex]\sqrt{(-2a)^2+(2b)^2}[/tex]
= [tex]\sqrt{4a^2+4b^2}[/tex]
= [tex]\sqrt{4(a^2+b^2)}[/tex]
= 2[tex]\sqrt{a^2+b^2}[/tex]
then MQ is half PR
Simplify:
a+b
a-b
[?]
a=5 and b=3
Simplification of the given expression ( a + b ) / ( a - b ) for the given values of a and b is equal to ( 4 / 1 ).
As given in the question,
Given expression:
( a + b ) / ( a - b )
Simplification of the given expression ( a + b ) / ( a - b ) for the value
a = 5 and b = 3 is given by,
( a + b ) / ( a - b ) we get,
( a + b ) / ( a - b )
= ( 5 + 3 ) / ( 5 - 3)
= ( 8 ) / ( 2 )
= ( 4 × 2 ) / ( 2 )
= ( 4 / 1 )
Therefore, simplification of the given expression ( a + b ) / ( a - b ) for the given values of a and b is equal to ( 4 / 1 ).
The complete question is:
Simplify the given expression:
(a + b)/ (a -b) = ?
For a=5 and b=3
Learn more about simplification here
brainly.com/question/2804192
#SPJ1
help plss
Write the description of each transformation in the order of operations.
Answer: PEMDAS
Parenthesis exponents multiplication Division addition subtraction
Step-by-step explanation:
solve (x+1) first then after just follow pemdas
I'm very stuck on this problem, mainly because of how restricted the selection of proofs is, and if you can help or give ideas I would really appreciate just listening to your thoughts on the question, thank you!
Check the picture below.
so in the parallelogram, the two triangles split by the side AC are congruents as you can see there by AAS, that means their sides and angles are congruent, that also includes the exterior angles.
since the exterior angles are also congruent, we can extend lines BC and AD as you see there in green and run an exterior angle at vertices A and C, since those two exterior angles are congruent and are also alternate interior ones, voila! it must be that BC || AD.
**BRAINLEST**, **THANKS** AND **5 STARS** TO WHOEVER ANSWERS CORRECT FIRST! PLEASE HELP ME OUT THIS IS FOR ALGERBRA 2/PRE-CALCULUS
- During a certain time of year, the daily temperature in a certain city, in degrees Celsius follows a periodic pattern. The graph below shows the temperature over two days, where time t is measured in hours after 12:00 a.m. (midnight) on the first day.
- Write an equation for the graph below in terms of Y (temperature in degrees Celsius) and T (time in hours) to represent the given context.
- ANSWER SHOULD LOOK LIKE THIS FORMULA
y = ( a ) sin ( b ) (t - h) + k
- IF YOUR STILL UNCLEAR, THE SECOND SCREENSHOT IS WHAT THE ANSWER SHOULD LOOK LIKE
- (NO, THAT SECOND PHOTO WITH THE FORMULA ISNT THE ANSWER!!!!!)
GRAPH IS GIVEN BELOW PLEASE HELP ME OUT! ILL GIVE BRAINLIEST VOTE 5 STARS AND GIVE THANKS IF YOURE CORRECT AND FAST!!!! PLEASE HELP ME OUT
The sinusoidal equation for the graph in terms of Y, the temperature in degrees Celsius) and the time, T in hours is; Y = 3·sin((π/12)·(T + 6)) + 15
What is a sinusoidal equation?A sinusoidal equation or function is an oscillating and periodic function that is based on the sine of an angle.
The required form of the response is y = a·sin(b·(t - h)) + kThe function of the graph is a sinusoidal function with the parts;
a = The amplitude
b = The frequency = 1/T
T = The period of the function
k = The vertical shift of the function
h = The horizontal shift of the function
From the graph, we have;
The minimum point on the graph of the function = (1, 12)
The maximum point on the graph of the function = (13, 18)
The amplitude of the graph a is therefore; a = (18 - 12)÷2 = 3
The period of the graph = 1/b
1 cycle is completed in 24 hours, which indicates that the frequency of the function is; f = 2·π/24 = π/12 = b
The vertical shift, k from the parent function, y = sin(x) which is the distance the midline of the graph is raised above the x-axis is; k = 15
sin((π/12)·(0 - h)) = -1
((π/12)·(0 - h)) = -π/2
-h = 6
h = -6
The function, y = a·sin(b·(t - h)) + k, is therefore;
y = 3·sin((π/12)·(t + 6)) + 15Learn more about sinusoidal functions or equations here:
https://brainly.com/question/2410297
#SPJ1
Question 12(Multiple Choice Worth 1 points)
(02.04 MC)
Write an equation of a line that is perpendicular to y = 4x + 8 and passes through (-8, 4).
y = -1/4x - 7
y = -1/4x + 2
y = 4x + 24
y = 4x + 36
The equation of a line is y=-1/4x-7, (option 1)
What is the equation of a line?A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis.
How do you find the equation of a line?Write the equation in the form y = mx + b to find the slope m and the y-intercept. This will allow you to graph the equation using the slope and y-intercept.
Given:-
Equation of the line is y=4x+8
The point through which the line passes (-8,4).
here the slope of the line is m1=4
To find the perpendicular line we know the formula
m1*m2=-1
By putting the value of m1 we get m2= -1/4
By using the one-point formula of the line we have
=>(y-y1)=m2*(x-x1)
By putting the values of y1 and x1 we get
(y1,x1)=(-8,4)
=>(y+8)=-0.25*(x-4)
y+0.25x+7=0
Hence the desired equation of the line is y=-1/4x-7
To find more about the straight line equations visit :
https://brainly.com/question/25969846
#SPJ1
What is 534.8 x 17 in long multiplication?
Answer:
Step-by-step explanation: 9091.6
Answer:
9091.6
Step-by-step explanation:
A construction worker earns an average bi-weekly net pay of $1,764.00. Which compound inequality correctly shows the amount of money, t, the worker can spend if the monthly budget for food is between 10% and 20%?
$176.40 ≤ t ≤ $352.80
$352.80 ≤ t ≤ $706.50
$382.20 ≤ t ≤ $764.40
$420.42 ≤ t ≤ $573.30
The compound inequality is $176.40 ≤ t ≤ $352.80 if a construction worker earns an average bi-weekly net pay of $1,764.00 option (A) Is correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that:
A construction worker earns an average bi-weekly net pay of $1,764.00.
= 10% of 1764
= (10/100)1764
= $176.4
= 20% of 1764
= (20/100)1764
= $352.8
Inequality will be: $176.40 ≤ t ≤ $352.80
Thus, the compound inequality is $176.40 ≤ t ≤ $352.80 if a construction worker earns an average bi-weekly net pay of $1,764.00 option (A) Is correct.
Learn more about inequality here:
brainly.com/question/19491153
#SPJ2
Answer:
$382.20 ≤ t ≤ $764.40
Step-by-step explanation:
Hello, so first we would need to convert bi-weekly pay to monthly income.
First we would times $1,764.00 by 26
1764.00 × 26 = 45864
Then we would divide 45864 by 12
45864 ÷ 12 = 3822.
Then we calculate how much the worker can spend if their monthly budget for food is in between 10% and 20%
3822 × 10% = 382.20
3822 × 20% = 764.40
So, we can see the correct answer is $382.20 ≤ t ≤ $764.40.
SOMEONE PLEASE HELPPPPPPPPPPPP!
Given: (GH) is a midsegment of ∆DEF. Show all work.
Find the value of x and y.
What is the length of (DF)?
In the given ΔDEF x is 17 units and y is 2 units.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
Given, GH is the midpoint of ΔDEF and EF is the base of the ΔDEF with a length of 28 units.
We know the midpoint of ΔDEF is (1/2) EF.
∴ GH = (28/2) = 14 units.
Now GH = x - 3.
14 = x - 3.
x = 17.
Given DH and FH are equal.
∴ y + 8 = x - 7.
y + 8 = 17 - 7.
y + 8 = 10.
y = 2.
learn more about midpoints in a triangle here :
https://brainly.com/question/28224145
#SPJ1
1.3 x 10 to the power of negative 3
Answer:0.0013
Step-by-step explanation:
Answer: the answer is on the calclulator
Step-by-step explanation:
If 10 students from a 1st-grade class are lining up to enter the cafeteria line for lunch, how many ways are there to line up the 10 students?
Answer: The answer is 10
Step-by-step explanation:
Solve one sixth times quantity x plus 24 end quantity equals negative 6
The value of one-sixth times quantity x plus 24 end quantity equals negative 6 is -180.
What is an expression?The expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
In this case, the expression given will be illustrated as:
1/6x + 24 = -6
Collect like terms
x / 6 = -6 - 24
x/6 = -30
Cross multiply
x = -30 × 6
x = -180
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
does it mean the common multiples?
The expressions given in the questions mean that the least common denominator is the least common multiple.
According to the question,
We have the following information:
We have three questions of fractions which are either in addition or subtraction.
Now, we will only look at the denominators of these fractions. And note that the least common multiple is same as the least common denominator.
For first one, it is 6 and 4:
Each multiple of 6: 2*3
Multiples of 4:2*2
The least common multiple of 6 and 4: 12
The least common denominator is 12.
For second one, it is 7 and 3.
Each multiple of 7: 7
Multiple of 3: 3
The least common multiple of 7 and 3: 21
The least common denominator of 7 and 3: 21
For third one, it is 8 and 2.
Multiples of 8: 2*2*2
Multiples of 2: 2
The least common multiple of 8 and 2: 8
The least common denominator is 8.
Hence, the expressions given in the questions mean that it is the least common multiple.
To know more about least common multiple here
https://brainly.com/question/28932085
#SPJ1
The locker's combination code
consists of one letter and 3 digits.
How many possible different codes
exist, if the letter can be A or C and
must come first, and the digits can
be repeated?
The number of different codes as the letters A or C must come first and digits can be repeated is 2000
Permutation and Combination:Permutations and combinations are a subset of the study of finite, discrete structures that are known as combinatorics. Combinations include the selection of items without respect to order, whereas permutations are precise selections of elements within a set where the order of the elements is significant.
Here we have,
The locker combination code consists of one letter and 3 digits
Here we need to find the number of different codes If the letter A or C must come first and digits can be repeated.
Given that the first letters are A and C
Here number of ways that A and C can be chosen at first = 2
As we know Number of digits = 10 [ including 0, 0 to 9 ]
Number of arrangements that can be chosen from 10 digits
= 10 × 10 ×10 [ Since repetition is allowed ]
Therefore,
The possible number of different codes = 2 × 10 × 10 ×10 = 2000
Therefore
The number of different codes as the letters A or C must come first and digits can be repeated is 2000
Learn more about Permutations and combinations at
https://brainly.com/question/28720645
#SPJ1
A spice mixture is 25% thyme. How many grams of thyme must be added to 12g of the mixture to increase the thyme content to 40%?
Answer:
3 g
Step-by-step explanation:
You want to know the mass of thyme that must be added to 12 g of a spice mix that is 25% thyme in order to make it 40% thyme.
SetupLet t represent the amount of added thyme (in grams). The amount of thyme in the augmented mix is ...
0.25(12) + t = 0.40(12 +t)
SolutionSimplifying the equation gives ...
3 +t = 4.8 +0.40t
0.6t = 1.8 . . . . . . . . . subtract 0.40t +3
t = 3 . . . . . . . . . . . divide by 0.6
3 grams of thyme must be added to the mix.
Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions, and identify each equation as an identity, a contradiction, or neither.
A) 6x + 4x - 6 + 24 + 9x
B) 25 - 4x = 15 - 3x +10 - x
C) 4x + 8 = 2x + 7 + 2x - 20
(i) The value of x is equal to 30 and the equation has one solution and it is neither identity nor contradiction.
(ii) This equation has infinite number of solutions and it is an identity.
(iii) This equation has no solutions and it is a contradiction.
What is identity and contradiction?
An identity is an equation that can be solved using any integer that can replace the variable in the equation in a meaningful way. A conditional equation is one that is met by some numbers but not by others, such as 2x = 4. A contradiction is an equation, such as x = x + 1, that cannot be solved.
We know that,
An equation having infinitely many solutions is called an identity equation.
An equation that having no solution is called a contradiction.
(i) 6x + 4x - 6 + 24 + 9x
Combining like terms
x = 30
Therefore, The value of x is equal to 30 and the equation has one solution and it is neither identity nor contradiction.
(ii) 25 - 4x = 15 - 3x +10 - x
Combining like terms
0 = 0
It means, The equation is true for all values of x.
Therefore, This equation has infinite number of solutions and it is an identity.
(iii) 4x + 8 = 2x + 7 + 2x - 20
Combining like terms
8 = -13
It means, The equation is not true for any value of x.
Therefore, This equation has no solutions and it is a contradiction.
To know more about identity and contradiction, go to link
https://brainly.com/question/1961903
#SPJ9
help on this maths
im confuse and dont know what to do
Answer:
30-2=28+542=570
Step-by-step explanation:
Two identical rectangles linked at one corner are drawn on coordinate axes. Give the coordinates of point A and point B
The coordinates of the vertices of the points A and B are;
A(9, 7), B(15, 9)
What is the location of a point on the coordinate plane?A point on the coordinate plane is described by a pair of points known as an ordered pair.
The coordinates of the vertices of the identical rectangles are; (3, 5), (9, 5), (9, 9)
The length of (9 5) from A is the same as the length from (9, 9) to A.
The coordinate of the point A is therefore;
x-coordinate = 9
y-coordinate = 5 + (9 - 5)/2 = 7
The coordinate of point A is (9, 7)
The length of the sides of the rectangle are;
Length = 9 - 3 = 6
Width = 9 - 7 = 2
The coordinates of the point B are;
x-coordinate = 9 + 6 = 15
y-coordinate = 9
The coordinates of the point B is (15, 9)
Learn more about the location of regular solids on a coordinate plane here:
https://brainly.com/question/28896112?source=archive
#SPJ1
If 2 is added to a number and the sum is tripled, the result is 16 more than the number. Find the number.
Answer:
5
Step-by-step explanation:
5 + 2 = 7
7(3) = 21
_
5 + 16 = 21
Write the equation in slope-intercept form.
3x + 6y = 18
y =
=x + [
Answer:
Slope intercept form is achieved by isolating y to one side. 3x-6y=18: given. -6y=-3x+18: algebra. y=3/6x-3: simplifying.
A company hired 20 new graduates. The mean salary of the newly hired employees is 38 in thousands of dollars, where Σ(x - 38)² = 64. Which is the population variance of the given data ?
The population variance of the given data is 3.2.
Given Σ(x - 38)² = 64 .
We know that the population variance of the data is the square of the standard deviation.
Now the standard deviation for the population is given by
σ =√(Σ(x - 38)² / N)
Again variance = σ ²
Let us first calculate σ .
σ = √(64/20) = √3.2
variance
= σ ²
= (√3.2)²
= 3.2
Therefore the variance of the population is 3.2
In probability theory and statistics, variance is the predicted squared variation of a random variable from its population mean or sample mean. Dispersion, or how far apart from the mean a set of data are from one another, is measured by variance.
A few ideas that use variance include descriptive statistics, statistical inference, hypothesis testing, goodness of fit, and Monte Carlo sampling.
To learn more about variance visit:
https://brainly.com/question/13074796
#SPJ1
somebody please help me
Answer:
I got (-1,-4) and (3,0) When I graphed with Desmos. I do no see that solution.
Step-by-step explanation:
Divide:
4⁄6 ÷ 2⁄6 =
..
Answer:2
Step-by-step explanation: I don’t have a explanation
Answer: 2
Step-by-step explanation:
You should be able to do this...
solve by factoring 6^2 − x - 12 = 0
[tex]{ \purple{ \tt{x = 3}}}[/tex]
[tex]{ \blue{ \sf{ {6}^{2} - x - 12 = 0}}}[/tex]
[tex]{ \blue{ \sf{36 - x - 12 = 0}}}[/tex]
Take 12 as common
[tex]{ \blue{ \sf{ \cancel{12}(3 - x) { \cancel{-12} = 0}}}}[/tex]
[tex]{ \blue{ \sf{3 - x = 0}}}[/tex]
[tex]{ \red{ \boxed{ \green{ \tt \overbrace{ \underbrace{x = 3}}}}}}[/tex]
1. A candle weighs 300 grams (g). Each hour the candle is lit, it burns 4 g of its wax. a. Leth be the number of hours the candle burns. Write an equation that can be used to determine the number of hours it takes for the candle to weigh 206.4 g. b. Solve the equation to determine the number of hours it takes for the candle to weigh 206.4 g. Show your work.
Please help me tomorrow I Will hace a test about this question!!
Answer:
Step-by-step explanation:
300 grams-24 hour= 276 so i think u just need to keep doing this till it gets to 206.4
The equation which represents the number of hours will be ln(206.4) = 1200ln(0.014).
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a candle weighs 300 grams (g). Each hour the candle is lit, it burns 4 g of its wax. a. Leth be the number of hours the candle burns.
The equation for the number of hours will be calculated as,
[tex]h=300\times (0.014)^h[/tex]
lnh= 300 x ln(0.014)
Therefore, the equation which represents the number of hours will be ln(206.4) = 1200ln(0.014).
To know more about an expression follow
https://brainly.com/question/27477292
#SPJ2
Which property is used in the following calculation?
(64⋅25)⋅464⋅(25⋅4)64⋅(100)6400
Commutative Property of Multiplication
None of these
Associative Property of Multiplication
Distributive Property
Identity Property of Multiplication
A property which is used in the calculation above is: Commutative Property of Multiplication.
What is the Commutative Property of Multiplication?The Commutative Property of Multiplication states that when three (3) numbers are multiplied, the end result (output) would always be the same regardless of the way the numbers are arranged and grouped.
This ultimately implies that, re-arranging or regrouping the order of numbers that are being multiplied does not change the end result (output) or product.
Mathematically, the Commutative Property of Multiplication is represented by this mathematical expression:
a · (b) = b · (a)
By applying the Commutative Property of Multiplication to the calculation, we have:
(64⋅25)⋅4 = 6400
64⋅(25⋅4) = 6400
64⋅(100) = 6400
Read more on Commutative Property of Multiplication here: https://brainly.com/question/19540221
#SPJ1
Mrs.Josey and her family were taking a trip to Dallas to go to the Botanical Gardens.If the trip was a total of 350 miles one way and their car can go 20 miles on one gallon of gas, how many gallons will they need to make it to Dallas
The number of gallons of gas which Mrs. Josey and her family would need is; 17.5 gallons of gas.
How much gas is needed to make it to Dallas?It follows from the task content that the quantity of gas in gallons needed by Mrs. Josey and her family to make it to Dallas is to be determined.
Therefore, since one gallon of gas is enough for 20 miles, It follows that the amount of gas required for 350 miles can be determined by proportion as follows;
20/1 = 350/x
x = 350 / 20
x = 17.5 gallons of gas.
Ultimately, the amount of gas needed for Mrs. Josey and her family to make it to Dallas is; 17.5 gallons of gas.
Read more on proportion;
https://brainly.com/question/870035
#SPJ1
The volume of 10,000 drops of a liquid is 10 fluid ounces.
What is the volume of 10 drops?
Answer: .01 fluid ounces.
Step-by-step explanation:
1,000 drops is 1 FL
100 drops is .1 FL
10 drops is .01 FL