Step-by-step explanation:
7×5×6×x
7×5×6×392
210×392
82320
The option (B) is correct. Associative property was applied to create the given expression.
Given expression is 7x+(5+6x) rightarrow (7x+5)+6x.
Firstly, check the given expression by commutative property.
The commutative property of addition is a+b=b+a and the commutative property of multiplication is a×b=b×a.
The commutative property didn't satisfy the given expression.
Now, check the given expression by associative property.
The associative property of addition is (a+b)+c=a+(b+c) and the commutative property of multiplication is (a×b)×c=a×(b×c).
The associative property of addition satisfy the given expression.
Further, check the given expression by distributive property.
The distributive property is a×(b+c)=ab+bc.
The distributive property didn't satisfy the given expression.
Hence, the given expression 7x+(5+6x) rightarrow (7x+5)+5x s created by the associative property.
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sin^6 theta - cos^6 theta = ( 1-2cos^2 theta) (1- sin^2 theta .cos^2 theta )
Please find attached herewith the solution of your question.
if you have any question, feel free to ask.
What is the smallest positive integer $n$ for which $n^2$ is divisible by 18 and $n^3$ is divisible by 640
The smallest positive integer n for which n^2 is divisible by 18 and n^3 is divisible by 640 is 120
The modulo (or "modulus" or "mod") is the remainder after dividing one number by another.
The smallest integer is 120, since:
[tex]120^{2}[/tex] mod 18 = 0, (reminder after dividing [tex]120^{2}[/tex] by 18 is 0) and
[tex]120^{3}[/tex] mod 640 = 0 (reminder after dividing [tex]120^{3}[/tex] by 18 is 0)
Hence, The smallest positive integer n for which n^2 is divisible by 18 and n^3 is divisible by 640 is 120.
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Find the zero of the given polynomial :
[tex]p(x) = {x}^{2} + 1[/tex]
Answer:
x = i, -i
Explanation:
p(x) = x² + 1
To set a polynomial to zero, p(x) = 0.
⇒ x² + 1 = 0
relocate variable
⇒ x² = -1
square root both sides
⇒ x = ±√-1
breakdown
⇒ x = √-1, -√-1
simplify if x = √-a then √a i
⇒ x = i, -i
Answer:
+i , -i
Step-by-step explanation:
Zero of the polynomial:p(x) =0
x² + 1 = 0
x² = -1
Take square root both sides,
[tex]\sf x = \sqrt{-1}\\\\x =\sqrt{i^2}\\[/tex]
x = ± i
Zeros of the polynomial:
x = +i , -i
One side of a triangle has length $10$, and the triangle has integer perimeter. What is the smallest possible perimeter of the triangle
The smallest possible perimeter of the triangle is 21.
The third important property of triangles is the triangle inequality rule, which states: that the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference between the lengths of the other two sides.
so let 10 = a
10 < b+c
So a good integer value for b+c would be 11
10 > b-c
If we let b be the bigger of the two 10 and 1 would work for b and c respectively or 7 and 4 or 6 and 5 or 6.5 4.5, etc
10 + 11 = 21.
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MATH: Carissa needs to rent a car while on vacation. The rental company charges $19.95, plus 18 cents for each mile driven. If Carissa only has $40 to spend on the car rental, what is the maximum number of miles she can drive?
The maximum number of miles she can drive is $111.388.
What is 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.
Step-by-step explanation:
The rental company charges $19.95
and, 18 cents for each mile driven.
So,
$40 - $19.95 = $20.05
Thus, the maximum number of miles she can drive
=$20.05 / by 0.18
= 111.388
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The mapping diagram shows a functional relationship. A mapping diagram shows a relation, using arrows, between domain and range for the following ordered pairs: (8, 4), (negative two-thirds, 3), (11, negative 1), (4, one-half). Complete the statements. f(4) is . f(x) = 4 when x is .
Answer:
its 1/2 and 8
Step-by-step explanation:
got it right
In a study to add a new feature to a software program, the programmer introduced two categories, men and women, in the survey she conducted. Is the study observational or experimental? if it is an experiment, what is the controlled factor?.
The given study is observational study
To gauge how strongly two variables are related to one another, correlation coefficients are used.
A statistical indicator of the strength of the association between the relative movements of two variables is the correlation coefficient. The values are in the -1.0 to 1.0 range. There was a measurement error in the correlation if the estimated value was larger than 1.0 or lower than -1.0. Perfect negative correlation is shown by a correlation of -1.0, and perfect positive correlation is shown by a correlation of 1.0. A correlation of 0.0 indicates that there is no linear link between the two variables' movements. Finance and investing can benefit from the usage of correlation statistics.
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How did you identify the line of sight, angle of elevation and angle of depression?
Answer:
The term angle of elevation denotes the angle from the horizontal upward to an object. An observer's line of sight would be above the horizontal. The term angle of depression denotes the angle from the horizontal downward to an object. An observer's line of sight would be below the horizontal.
Step-by-step explanation:
ヾ(＾-＾)ノ
xan any one help please
Answer:
Sophie.
Step-by-step explanation:
15. 30 in Italian minus 15 in German.
A bike store marks up the wholesale cost of all bikes they sell by 30%. calvin wants to buy a bike that has a price log of 123.50. what was the wholesale cost of the bike?
The wholesale cost of the bike is 95.
Wholesale price is the price charged for a product as sold in bulk to large trade or distributor groups as opposed to what is charged to consumers.
The selling price is how much a buyer pays for a product or service.
The profit formula is used to calculate the amount of gain that has been made in a transaction
Profit = Selling Price (S.P.) - Cost Price (C.P.)(here it is the wholesale price)
Given =
Selling Price = 123.50Wholesale price = ?Profit = 30% of wholesale priceSubstituting it in the profit formula we get
0.3 x wholesale price = 123.50 + wholesale price
1.3 x wholesale price = 123.50
Wholesale price = [tex]\frac{123.50}{1.3}[/tex] = 95
Thus the wholesale cost of the bike is 95.
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Can someone help with these geometry questions? It’s question 2, 3, 4 & 5, I gotta have answers fast pls :(
Answer:
Hey! I am gona help you.
BC ≅ EF
DE ≅ AB
Angle C ≅ Angle F
Angle D ≅ Angle A
Hope it might help!
Note -2,3 can't be solved as there is no figure given here.
(x-5y,-3):(1,3y-x) find value of x and y
Please help me to solve thiss!!
Answer:
x=11, y=2
Step-by-step explanation:
We can set 1 equal to x-5y and then solve for x. and y.
x = 5y+1
y = x-1/5
We can use this information and plug back in the values for 3y-x or x-5y.
We can set -3 = 3y-x or 1 = x-5y.
To solve for x using -3 = 3y-x we can swap the values of x and y which would make it -3 = 3(x-1/5)-5(x-1/5)+1.
We can do a bit of algebra which would get us x = 11.
Knowing that y = x-1/5 we can plug in 11 for x. y = 11-1/5.
y=2
x=11, y=2
What is the equation? The wording is weird I don’t understand it well
Answer:
13) 12x=147 14) 13
Step-by-step explanation:
Break even means when they are equal in value I guess.
So 12x=147
To make it worth it to buy the movie pass, 12x>147
x>12 1/4, so at least 13 movies to make it worth it.
Here's the next(Sorry I've been a little late on them(And BTW I will base my questions on measurments for Cars, Boats and Vessels, and AirCraft)
How many mph is Mach 1?
How many mph is Mach 3?
This is for AirCrafts and Jets . . .
(Worth 15)
Good Luck!!!
Based on the conversion rates of miles per hour and mach speeds, the value of Mach 1 in mph is 767.21 mph. Mach 3 will be 2,283.62.
What does it mean to go at mach speed?
Mach speed is used to denote the speed of an object that is traveling faster than sound.
Mach 1 would be a speed of 767.21 mph or more than 1,200 km/h. Mach 3 will be three times this speed at 2,283.62 mph.
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If f(x) = 3x-2 and g(x) = x +1, find (f+g)(x).
Answer:
[tex]\huge\boxed{\sf (f+g)(x) = 4x - 1}[/tex]
Step-by-step explanation:
Given functions:f(x) = 3x - 2g(x) = x + 1Solution:Add both functions
(f+g)(x) = 3x - 2 + x + 1
Combine like terms
(f+g)(x) = 3x + x - 2 + 1
(f+g)(x) = 4x - 1
[tex]\rule[225]{225}{2}[/tex]
Answer:
[tex](f+g)(x)=4x-1[/tex]
Step-by-step explanation:
FunctionsFunctions written in equation form usually have several parts:
nameinputMathematical rule/expression that tells what the function does to the input to give an output.So, for instance, [tex]g(x)=x+1[/tex] has a name of "g", has an input of "x", and has a rule that it adds 1 to the input to get the output.
The name of the function should tell what rule to follow (look for the equation with that function name), or it may give some details on what the function does.
Dealing with so many different problems, functions often get a default name of "f", "g", or "h".
If a function is special and/or used commonly, it will sometimes get a special name (like the natural logarithm function "ln").
This functionIn this case, the function is (f+g)(x). The function name means that the result of each function, f and g, will be added together, while using the same input "x" for both functions.
[tex](f+g)(x)=f(x)+g(x)\\=(3x-2)+(x+1)\\=3x+(-2)+x+1\\=4x+(-1)\\=4x-1[/tex]
So, given these two functions for "f" and "g", [tex](f+g)(x)=4x-1[/tex]
Given x|7|8|9|10|
f|10|13|x|5|
if the mean is 8 find x ,mean variance
Answer:
X=11
Step-by-step explanation:
How many solutions exist for the given equation?
3(x – 2) = 22 – x
zero
one
two
infinitely many
Answer:
C. Infinitely many
Step-by-step explanation:
First, find x.
3(x-2)=22-x
Use distributive property.
3x-6=22-x
Add x to both sides.
4x-6=22
Add 6 to both sides.
4x=28
Divide 4 from both sides.
x=7
Plug in 7 for x into the original equation.
3(7-2)=22-7
3(5)=22-7
15=15
Since 15 does equal 15, the answer has infinitely many solutions.
Hope this helps!
If not, I am sorry.
4 Determine and justify the strength of each of the following inductive arguments. (a) Premise: The 20 numbers that were randomly chosen from a box that contains 25 cards labeled with prime numbers of less than 100 are odd numbers. Conclusion: All prime numbers are odd numbers. (b) Premise 1: All the employees that have worked at least 15 years and above in Syarikat LMN will receive the excellent service rewards. Premise 2: Pak Hamid has worked in the LMN Company for 23 years. Conclusion: Pak Hamid will be awarded an excellent service. (c) Premise: Faisal had consecutively scored 'A' for his Mathematics subject for the last three examinations. Conclusion: Faizal will also score 'A' during the next term examination.
Pak Hamid has worked more than 15 years. The correct premise and conclusion is B.
What is decision-making?Determining the proper option, acquiring evidence, and exploring various options are all steps in the decision-making process.
Premise: The 20 numbers that were randomly chosen from a box that contains 25 cards labeled with prime numbers of less than 100 are odd numbers.
Conclusion: All prime numbers are odd numbers.
Both premise and conclusion are incorrect because 2 is an even prime number.
Premise 1: All the employees that have worked at least 15 years and above in Syarikat LMN will receive the excellent service rewards.
Premise 2: Pak Hamid has worked in the LMN Company for 23 years.
Conclusion: Pak Hamid will be awarded an excellent service.
Both premise and conclusion are correct. Because Pak Hamid has worked more than 15 years.
Premise: Faisal had consecutively scored 'A' for his Mathematics subject for the last three examinations.
Conclusion: Faizal will also score 'A' during the next term examination.
The conclusion is incorrect because all the exams are independent to each other.
Then the correct premise and conclusion is B.
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what is the value of 2x^2 - 4x + 5 when x is -3
Answer:
35
Step-by-step explanation:
2x9+12+5=35
assigning oxidation numbers , please help!!
Answer:
c is 1
o is q
h is 2
in ch3
c is 2 h is 3
and finally o is 1
If a researcher is using a t statistic to test a null hypothesis about a population, what information is needed from the population to calculate the t statistic?.
The T statistic does not require any information about the population.
The T - statistic is the ratio of the predictable value of a parameter from its hypothesized value to its standard disputable values.
The T statistic uses the sample variance instead of the population variance.
Since, the T statistic depends on the hypothesized population mean. So in place of the standard deviation of population, size or mean of the population, T-statistic depends on the sample mean, the sample standard deviation and the sample size .
Thus, The T-statistic does not require any information about the population
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Express the radical using the imaginary unit i
Answer:
[tex]\huge\boxed{\sf \pm 10i}[/tex]
Step-by-step explanation:
Given radical:[tex]\pm \sqrt{-100}[/tex]
We can write it as:
[tex]\pm \sqrt{-1 \times 100} \\\\\pm \sqrt{-1} \times \sqrt{100} \\\\\underline{We \ know \ that:}\ i =\sqrt{-1} \\\\\pm i \times 10\\\\\boxed{\pm 10i}\\\\\rule[225]{225}{2}[/tex]
10. Townsend Realty purchased the Glenview Street property for $140,000 and received a 40%
discount off the original price along with an additional 20% off the discounted price for
purchasing the property in cash. Which of the following best approximates the original price,
in dollars, of the Glenview Street property?(
)
(A) $350,000
(B) $291,700
11. Intersecting lines r, s, and t are shown below.
(C) $233,300
(D) $175,000
Answer:
answer is c
Hop it helps you
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TIME REMAINING
58:17
Which graph represents viable values for y = 2x, where x is the number of pounds of rice scooped and purchased from a bulk bin at the grocery store and y is the total cost of the rice?
On a coordinate plane, a straight line with a positive slope begins at point (0, 0), and ends at point (2.5, 5).
On a coordinate plane, blue diamonds appear at points (0, 0), (1, 2), (2, 4).
On a coordinate plane, a straight line with a positive slope begins at point (negative 2.5, negative 5), crosses the x- and y-axis at point (0, 0), and ends at point (2.5, 5).
On a coordinate plane, blue diamonds appear at points (negative 2, negative 4), (negative 1, negative 2), (0, 0), (1, 2), (2, 4).
The graph that represents viable values for y = 2x is Option A.
What is a Straight Line Function ?A straight line function is given by y = mx +c , where m is the slope and c is the y intercept.
The given equation is y = 2x
here m = 2
x is the number of pounds of rice scooped and purchased from a bulk bin
y is the total cost of the rice
as both the data cannot be negative , Option C , D is out of choice
The Option 1 represents a straight line and it starts at the origin which is satisfied by y = 2x as y = 0 , at x = 0
ends at point (2.5, 5) giving a slope of m =2 ,
Therefore , The graph that represents viable values for y = 2x is Option A.
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The price of a technology stock was $9.69 yesterday. Today, the price rose to $9.80. Find the percentage increase. Round your answer to the nearest tenth of a percent.
Answer:
Percent increase was 1.1%Step-by-step explanation:
Step 1Find the price increase in number:
$9.80 - $9.69 = $0.11Step 2Find the percent increase, relevant to initial price:
$0.11/$9.69 × 100% = 1.1% (rounded to the nearest tenth)For the following exercises, determine whether the relation is a function.
2. {(5, 2), (6, 1), (6, 2), (4, 8)}
Answer:
The given relation {(5,2),(6,1),(6,2),(4,8)} is not a function.
Step-by-step explanation:
The relation {(5,2),(6,1),(6,2),(4,8)} is given.
It is required to determine whether the given relation is a function.
To determine whether the given function is a relation, identify the domain and range and then check whether the given relation is a function.
Step 1 of 1
The given relation is {(5,2),(6,1),(6,2),(4,8)}.
The set of the first components of each ordered pair is called the domain.
From the relation, the domain is {5,6,6,4}.
The set of the second components of each ordered pair is called the range.
From the relation, the range is {2,1,2,8}.
The domain of the function does not have a unique range. So, the given relation is not a function.
I need to know the answer I got cancer and I fell tired and I need to do this and no one is helping me
what is 5500 divided by 785
Answer:
785 Remainder 5
Step-by-step explanation:
In a sale, the football club shop reduced the price of the football shirts to $23.80.
An error was made when working out this sale price.
The price was reduced by 30% instead of 20%.
Calculate the correct sale price for the football shirt.
The correct sales price for the football shirt is $24.75.
What is the correct sales price?The first step is to determine the initial price of the shirt before the 30% discount was applied:
(1 + 0.3) x 23.80 = $30.94
The second step is to now apply the appropriate discount rate:
(1 - 0.2) x 30.94 = $24.75
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Question 7 (Essay Worth 5 points)
7.03
An equation is shown below:
5(2x - 8) + 15 =:15
Write the steps you will use to solve the equation and
explain each step,
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathbf{5(2x - 8) + 15 = 15}[/tex]
[tex]\huge\textbf{Solving for the equation:}[/tex]
[tex]\mathbf{5(2x - 8) + 15 = 15}[/tex]
[tex]\huge\textbf{Distribute 5 within the parentheses: }[/tex]
[tex]\mathbf{5(2x) + 5(-8) + 15 = 15}[/tex]
[tex]\mathbf{10x - 40 + 15 = 15}[/tex]
[tex]\huge\textbf{Combine the like terms:}[/tex]
[tex]\mathbf{10x + (-40 + 15) = 15}[/tex]
[tex]\mathbf{10x - 25 = 15}[/tex]
[tex]\huge\textbf{Add 5 to both sides:}[/tex]
[tex]\mathbf{10x - 25 + 25 = 15 + 25}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathbf{10x = 15 + 25}[/tex]
[tex]\mathbf{10x = 40}[/tex]
[tex]\huge\textbf{Divide 10 to both sides:}[/tex]
[tex]\mathbf{\dfrac{10x}{10} = \dfrac{40}{10}}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathbf{x = \dfrac{40}{10}}[/tex]
[tex]\mathbf{x = 40 \div 10}[/tex]
[tex]\mathbf{x = 4}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{x = 4}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]