A flower garden measures 14cm by 20cm. There is a path 2m wide all round it. Find the area of the path.​

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.

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

Answer:

its 1/2 and 8

Step-by-step explanation:

got it right

[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]

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.

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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Pak Hamid has worked more than 15 years. The correct premise and conclusion is B.

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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Answer:

answer is c

Hop it helps you

Answer:

X=11

Step-by-step explanation:

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 =  

Substituting 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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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.

Answer:

[tex]\huge\boxed{\sf (f+g)(x) = 4x - 1}[/tex]

Step-by-step explanation:

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:

Functions written in equation form usually have several parts:

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").

In 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]

Answer:

Step-by-step explanation:

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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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

The correct sales price for the football shirt is $24.75.

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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Please find attached herewith the solution of your question.

if you have any question, feel free to ask.

Answer:

4 ft

Step-by-step explanation:

Area = 30 square ft

base = 7.5 ft

          [tex]\sf \boxed{height \ of \ rectangle = \dfrac{Area}{base}}[/tex]

                                             [tex]\sf =\dfrac{30}{7.5}\\\\=\dfrac{30*10}{7.5*10}\\\\=\dfrac{300}{75}\\\\= 4 ft[/tex]

Answer:

35

Step-by-step explanation:

2x9+12+5=35

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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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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Answer:

c is 1

o is q

h is 2

in ch3

c is 2 h is 3

and finally o is 1

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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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.

The maximum number of miles she can drive is $111.388.

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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Answer:

785 Remainder 5

Step-by-step explanation:

The probability of selecting a heart or red Queen from the deck of cards is 1/2.

Total cards = 52

total red cards = 26

P(not selecting a red card)

= (52-26)/52

= 26/52

= 1/2

Total heart = 13

Total 2 = 4 (one for each club, diamond, heart, spade)

Total 2 of heart = 1

P(not selecting a 2 or heart) = (52 - 4 - 13 + 1)/52

= 36/52

= 9/13

Opportunity is the department of arithmetic concerning numerical descriptions of how probably an event is to arise, or how probably it's far that a proposition is genuine. The possibility of an occasion is a range of between zero and 1, where, more or less speaking, 0 shows the impossibility of the occasion and 1 indicates certainty.

The possibility is clearly how in all likelihood thing is to show up. each time we are uncertain about the final results of an event, we can talk about the probabilities of sure effects and how likely they're. The evaluation of activities governed via chance is known as statistics.

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The graph that represents viable values for y = 2x is Option A.

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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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:

   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