Determine if the ordered pair [1,-5] is a solution of 3x-2y=13

Answer:

the second one

Step-by-step explanation:

Each number moves up the same amount each time, on the table. For both x and y.

To multiply, flip (or invert) the divisor into a reciprocal, then start changing the division sign to a multiplication symbol. If you can, simplify your response.

1. Use a division sign to start writing the entirety and the mixed numbers as improper fractions.

2. Write this same divisor's mutual recognition as well as replace the division sign with a multiplication sign.

3. Simplify any common factors in which it actually occur.

4. To achieve the outcome, simply multiply the numerators and denominators together.

Let us try this: 3½ ÷ 2

Rewrite 3½  as an invalid fraction.

i.e, 7/2 ÷ 2/1

Write the reciprocal of the divisor and replace with, 7/2 × 1/2 = 7/4

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I think I might have an answer to your question!

To convert liters to millimeters, we need to know the density of ice cream. The density of ice cream can vary depending on the type and composition of the ice cream.

According to a source, the density of ice cream is around 0.6 g/mL on average. Therefore, 1 liter of ice cream would weigh around 600 grams or 600,000 milligrams.

With this information, we can calculate the total amount of ice cream consumed by 50 Americans in one week as follows:First, we need to convert the annual consumption from liters to milliliters:

75 liters/year * 1000 milliliters/liter = 75,000 milliliters/year

Next, we need to calculate the amount consumed in one week by one American:

75,000 milliliters/year / 52 weeks/year / 1 American = 1,442 milliliters/week/American

Finally, we can calculate the amount consumed by 50 Americans in one week:

1,442 milliliters/week/American * 50 Americans = 72,100 milliliters/weekTherefore, 50 Americans will consume 72,100 milliliters of ice cream in one week.

Fake Lava Recipe is described below:

                                 Batch 1                Batch 2

Baking soda               1                             6

Vinegar                       3/4                         4.5

Dish Soap                  1/4                           1.5

Baking soda is described as a chemical compound with the formula NaHCO₃ and it is known as a salt composed of a sodium cation and a bicarbonate anion.

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In the simplest form, we can write the expression as -

y = [tex]$\frac{2}{15}[/tex].

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + z

4x + 5z

Given is the mathematical statement as -

"one over six one over 2/3"

We can write the given mathematical statement in the simplest form as follows. We can write the expression as -

y = [tex]$\frac{1}{6\frac{1}{(\frac{2}{3}) } }[/tex]

y = [tex]$\frac{1}{6\frac{3}{2} }[/tex]

y = [tex]$\frac{1}{\frac{15}{2} }[/tex]

y = [tex]$\frac{2}{15}[/tex]

Therefore, in the simplest form, we can write the expression as -

y = [tex]$\frac{2}{15}[/tex].

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The value of T when n = 1 is 1 and the equation of n is n = T²

From the question, we have the following parameters that can be used in our computation:

T= √n

When n = 1, we jave

T= √1

Evaluate

T = 1

Recall that

T= √n

Take the square of both sides

n = T²

Hence, the equation is n = T²

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Answer:

F = 1.8C + 32

F= 1.8(15)+32

F= 59

Step-by-step explanation:

Fahrenheit and Celcius are unit that can be used to measure temperature. In this question, you are given the equation to calculate Fahrenheit from Celcius so you just need to put the Celcius into C variable.

                                 ^^^ P.S Kinda copied but yknow it helps

One inch is equal to 2.54 centimeters on the ruler, so, to read on the ruler, every 2.54 cm will be equal to one inch.

Normally a ruler scale if of length 15cm. we have certain marks on the ruler to read the rules of the scale/ruler.

Now, from the standard unit conversion methods, we know, one inch is equal to about 2.54 centimeters.

Now, what we to is, to read the ruler, we mark every 2.54cm on the ruler and that becomes equal to one inch. On a scale of 15cm there will be 6 inches on the ruler.

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The value  0.06  as a fraction is 3/50 .

In mathematics, fractions are defined as part of a whole. A whole can be an object or a group of objects. In real life, if you cut a pie out of the whole pie, that piece becomes part of the pie. Fractions are words of Latin origin. "Fractus" means "broken" in Latin. In ancient times, rest was expressed in words. Later it was introduced in numerical form.

Fractions are also called parts or sections of any quantity. Represented by the symbol '/'. Bachelor/Bachelor For example, 2/4 is the numerator above and the fraction below the denominator. In this article, you will learn the definition of fractions in mathematics, types of fractions, how to convert fractions to decimals, and many solved examples and full explanations

to convert in fraction we will muliply and devide by 100.

0.06 *100/100 =3/50

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The expansion of the series sum from n equals 1 to 4 of 3 to the n plus 1 power is 9 27 81 243.

An arithmetic sequence is one in which each term is produced by either increasing or decreasing the preceding number by a specific amount.

Geometric progressions: A geometric sequence is one where each phrase is produced by multiplying or dividing a certain integer by the one before it.

Harmonic patterns: If the reciprocals of every number in a sequence form an arithmetic sequence, the numbers are said to be in harmonic sequence.

To expand the series, we substitute the value of n in the given expression to get the final value.

The given series is:

[tex]\sum_{n=1}^{4} (3)^{n+1}[/tex]

Substitute the value of n from 1 to 4 in the given expression.

[tex]\sum3^{1+1} = 9\\\\\sum3^{2+1} = 27 \\\\\sum3^{3+1} = 81 \\\\\sum3^{4+1} = 243[/tex]

Hence, the expansion of the series sum from n equals 1 to 4 of 3 to the n plus 1 power is 9 27 81 243.

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Answer:

Focus on strategic measures.

Develop performance measurement skills.

Get board and CEO buy-in.

Track progress over time.

Measure often.

Step-by-step explanation:

The new value of the house will be $453120.

We can write : a% of b as -

a% of b = a/100 x b

a% of b = ab/100

Given is that a house was valued at $384,000. Over several years, the value increased by 18%.

We can write the new value as -

{x} = 384000 + 18% of 384000

{x} = 384000 + 18/100 x 384000

{x} = 384000 + 18 x 3840

{x} = 384000 + 69120

{x} = 453120

Therefore, the new value of the house will be $453120.

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The total price for paint with an 8.5% sales tax is $69.02928.

The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure.

Given:

Length = 14 feet

width = 17 feet

Height = 9 foot

So, the area of Four walls

= 2(14 x 9) + 2( 17 x 9)

= 2 x 126 + 2 x 153

= 252 + 306

= 558

Now, Area of ceiling

= lw

= 14 x 17

= 238

So, the total Area = 558 + 238 = 796

Now, the cost of painting room

= 796/350 x 28

= 63.68

and, After sales tax

= 63.68 + 0.085 x 63.68

= $69.02928

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Answer:5 feet 4.567 in hes

Step-by-step explanation:

The conversion of one unit i.e., 164 centimetres to other feet is equals to the 5.37 feet.

Unit conversion, is the conversion between different units and measurements of the same quantity done in the process of multiplication or division. In mathematics, conversion is the process of changing a value from one form to another, such as converting a value from inches to millimeters, for distance from miles to kilometers, feet or other units.

How to convert centimeters to feet : One meter is a measure of length and equals approximately 3.28 feet. So, 164 meters = 164 × 3.28 feet

= 537.92 feet --(1)

But we need to convert 164 centimeters to feet. So, change meters to centimeters. As you know, 1 meter = 100 centimeters, so 164 meters = 16400 centimeters --(2). Now from equations (1) and (2),

16400 centimeters = 537.92 feet,

Divide both parts by 100,

=> 164 centimetres = (537.92/100 ) feet

= 5.37 feet

Hence required value is 5.37 feet.

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Although both grains and grams are weight-measuring units, they are not interchangeable.

The weight of gunshots, arrows, and gunpowder is often measured in the United States using a unit of mass called a grain. A grain weighs around 0.06479891 grams.

In contrast, a gram is a mass unit in the International System of Units (SI) that is often employed in scientific and practical contexts. There are 15.4323584 grains in one gram.

You may multiply the total number of grains by 0.06479891 to convert grains to grams. If you have 500 grains, for instance, you would convert them to grams as follows: 500 grains x 0.06479891 grams per grain = 32.399455 grams.

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The amount owed at the end of that period is given as follows:

$334.

An exponential function is modeled as follows:

y = ab^x.

In which:

For a decreasing exponential function, the rate of change b is given as follows:

b = 1 - r.

In which r is the decay rate.

The parameters for this problem are given as follows:

a = 390, r = 0.05, b = 0.95.

Hence the function giving the amount owed after x months is given as follows:

y = 390(0.95)^x.

After three months, the amount owed is given as follows:

y = 390(0.95)^3

y = $334.

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Answer:

$334.37

Step-by-step explanation:

At the start, Sai owes his mum $390. After the first month, his mum reduces his debt by 5% of $390, which is 0.05 x $390 = $19.50. So at the end of the first month, he owes his mum $390 - $19.50 = $370.50.

After the second month, his mum reduces his debt by 5% of $370.50, which is 0.05 x $370.50 = $18.53. So at the end of the second month, he owes his mum $370.50 - $18.53 = $351.97.

After the third month, his mum reduces his debt by 5% of $351.97, which is 0.05 x $351.97 = $17.60 (rounded to the nearest cent). So at the end of the third month, he owes his mum $351.97 - $17.60 = $334.37.

Therefore, Sai owes his mum $334.37 at the end of three months.

You cannot compare two marginal distributions to see if the corresponding two are related . So, the statement is false .

The answer to the stated question is false . No , you cannot compare two marginal distributions to see if the corresponding two variables are related.

The given question is related to probability and statistics.

Coming to probability distribution , it is the mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment. It is a mathematical description of a random phenomenon in terms of its sample space and the probabilities of events.

The marginal distribution of a subset of a collection of random variables is the probability distribution of the variables contained in the subset. It gives the probabilities of various values of the variables in the subset without reference to the values of the other variables.

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300000 yen is approximately equal to 2233.38 USD  ( rounded to two decimal places )

The conversion factor to convert yen to USD is 0.0074

1 yen = 0.0074 USD

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The currency in USD = The currency in yen × conversion factor

Substitute the values in the equation

1 yen = 0.0074 USD

300000 =  300000 × 0.0074

Multiply the numbers

= 2233.38 USD ( rounded to two decimal places )

Therefore, 300000 yen is 2233.38 USD

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Answer:

they’re both negative to -4.5 is the answer

Step-by-step explanation:

Answer: They’re both negative to -4.5 is the answer

Step-by-step explanation:

The standard deviation of a set of seventeen numbers described by Σx=272 Σx² = 11849​ is 21.

The term "standard deviation"  refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

We have Σx=272 and Σx² = 11849​.

n= 17

So, the Variance of the Data

= Σx²/n - (Σx/ n)²

= 11849 / 17 - (272/17)²

= 697 - 256

= 441

Then, the Standard deviation is

= √Variance

= √441

= 21

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Answer:

28.346

Step-by-step explanation:

divide the length value by 2.54

Answer: 25

Step-by-step explanation:

5^2 is the same as 5x5 which is 25

The number of hours you have to wait is 300 minutes.

What is the unit rate?

A unit rate is a cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.

Given that,

You are told to you will have to wait 5 hours in a line with a group of other people.

Based on the above information, the calculation is as follows:

We know that

1 hour = 60 minutes

  5*60

= 300  minutes

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The converted value of measuring mass 145 kilograms to pounds is equal to 320 pounds ( round off to near pounds )

Standard relation between kilograms and pounds are :

One kilograms is equal to 2.20462 pounds

Now substitute the required converted value 145 kilograms in the above standard relation we have ,

⇒ ( 1 × 145 ) kilograms = ( 145 ) ×  ( 2.20462 ) pounds

⇒ 145 kilograms = 319.67 pounds

⇒ 145 kilograms = 320 pounds ( round off to near pounds )

Therefore, after conversion of mass unit kilograms into pounds is given by  145 kilograms = 320 pounds ( round off to near pounds ).

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Therefore , the solution of the given problem of coordinate comes out to be the coordinates of point H are (3, 0).

Using one or more values or coordinates, a coordinate system is a geometry approach used to better able to monitor points or any other topological items on a spectrum, such as Euclidean space. The coordinates of a point or object on a double plane are a pair of integers. A point's placement on a 2D plane is specified by two integers called the x and y coordinates. a set of integers indicating precise locations. The figure typically includes two numbers.

Here,

Since the midpoint of a line segment is the average of its endpoints, we can use this fact to find the coordinates of point P:

The x-coordinate of P is the average of the x-coordinates of A and B: (2 + 6)/2 = 4.

The y-coordinate of P is the average of the y-coordinates of A and B: (-1 + 3)/2 = 1.

Therefore, the coordinates of point P are (4, 1).

To find what fraction of the distance from A to P is AP, we can use the distance formula:

AP = √[(4 - 2)² + (1 - (-1))²] = √20 = 2√5

And the distance from A to P is:

AP = √[(4 - 2)² + (1 - (-1))²] = √20 = 2√5

So the fraction of the distance from A to P that is AP is:

AP/AH = (2√5)/[2√(5² + 2²)] = √5/3

To find the coordinates of point H, we can use the fact that the x-coordinate of H is the average of the x-coordinates of A and P, and the y-coordinate of H is the average of the y-coordinates of A and P:

The x-coordinate of H is (2 + 4)/2 = 3.

The y-coordinate of H is (-1 + 1)/2 = 0.

Therefore, the coordinates of point H are (3, 0).

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If a shoe size of 7 is added to the data the IQR remains the same 2. Option D is the correct answer.

The interquartile range (IQR) in descriptive statistics is a measurement of statistical dispersion, or the spread of the data. The IQR is also known as the middle 50%, the fourth spread, or the H-spread. The difference between the data's 75th and 25th percentiles is how it is defined.

By using linear interpolation, the data set is separated into quartiles, or four rank-ordered even sections, to determine the IQR.

The shoe size in increasing order are written as:

5,5.5,6,6.5,6.5,7,7.5,8,8.5

The median of the data is:

Median = 5th value

Median = 6.5

The IQR of the data is given as:

IQR = Q2 - Q1

IQR = (7.5 + 8)/ 2 - (5.5 + 6) / 2

IQR = 2

When 7 is added to the data, the new order is:

5,5.5,6,6.5,6.5,7,7,7.5,8,8.5

The median of the new data is:

Median = 5th + 6th value/ 2

Median = (6.5 + 7)/2 = 6.75

The IQR of the data is given as:

IQR = Q2 - Q1

IQR = (7.5 + 8)/ 2 - (5.5 + 6) / 2

IQR = 2

Hence, if a shoe size of 7 is added to the data the IQR remains the same 2. Option D is the correct answer.

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The area of the circle is more than 18 square units of the smaller square inside it and less than 36 square units of the bigger square which the circle is enclosed in. The circumference of the circle is question 2 is equal to 47 to the nearest whole number.

The circumference of a circle is the distance around its edge or perimeter. It can be calculated using the formula:

Circumference = 2 x π x radius

where π (pi) is a mathematical constant approximately equal to 3.14.

Alternatively, the formula can be expressed using the diameter of the circle, which is the distance across the circle passing through its center:

Circumference = π x diameter

The second question have its diameter as 15cm hence its circumference is evaluated as:

Circumference = 3.14 × 15cm

Circumference = 47.1cm.

The first question have the area of the bigger square equal to 36 square units and that of the smaller square equal to 18 square units, since the smaller square is enclosed by the circle and the circle is enclosed by the bigger square, then the area of the circle is more than 18 square units and less than 36 square units.

In conclusion, the area of the circle is more than 18 square units and less than 36 square units for the first question. And the circumference of the circle for the second question is equal to 47 to the nearest whole number.

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A negative relationship exists when two connected variables move in opposite directions. As a result, Option A is right which has a downward slope and variables that are negatively correlated.

An inverse correlation, sometimes referred to as negative correlation, is a relationship between two variables in which, when one variable's value is high, the other variable's value is likely low.

For instance, with the variables A and B, when A is high, B is low, and when A is low, B is high. In statistical nomenclature, an inverse correlation is frequently expressed by the correlation coefficient "r," which has a value between -1 and 0, with r = -1 signifying complete inverse correlation.

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The value of x from the logarithmic equation is x = 3.302

The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm

The properties of Logarithm are :

log A + log B = log AB

log A − log B = log A/B

log Aⁿ = n log A

Given data ,

Let the logarithmic equation be represented as A

Now , the value of A is

[tex]3log_{6} ( x ) = 2[/tex]   be equation (1)

On simplifying , we get

Divide by 3 on both sides , we get

[tex]log_{6} ( x ) = \frac{2}{3}[/tex]

Now , from the laws of logarithm , log Aⁿ = n log A

On further simplification , we get

[tex]log_{6} ( x ) = \frac{2}{3}[/tex]

[tex]x=6^{\frac{2}{3} }[/tex]

x = 3.302

Therefore , the value of x is 3.302

Hence , the logarithmic equation is solved

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