(1,3),(2,6),(3,9),(4,12) is the relation a function

Answer:

B. v < - ⅙

Step-by-step explanation:

v + ⅚ < ⅔

v < ⅔ - ⅚

v < 4/6 - ⅚

v < - ⅙ (option B.)

Hope it helps ⚜

\(v + \frac{5}{6} < \frac{2}{3} \)

\(v + \frac{5}{6} < \frac{2}{3} \)

\(v < \frac{2}{3} - \frac{5}{6} \)

\(v < \frac{4}{6} - \frac{5}{6} \)

\(v < - \frac{1}{6} \)

therefore, the correct answer is option B.

Addition of money spens=$274.56

Divided by 8=$274.56/8

=$34.32

The solution of the division of the fraction is expressed as; -⁴/₁₅

When dividing fractions, what will carry out first is to turn it into multiplication. Thereafter, we will make use of the multiplicative inverse (reciprocal) to multiply.

We have the expression as;

-¹/₃ ÷ ⁵/₄

By the method described above, we can say that the solution is;

-¹/₃ × ⁴/₅

= -⁴/₁₅

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Answer:

25%

Step-by-step explanation:

$115 - $92 = $23 (first blank)

To do the fraction it is the new amount/the original amount

23/92

divide 23 and 92

23/92 = 0.25 (second and third blank)

0.25 x 100% = 25%

The probability of people in the survey who likes dogs is given by the equation P ( D ) = 26 %

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability of people who likes dogs be represented as P ( D )

Now , the equation will be

The probability of people who likes cats P ( C ) = 4 %

The probability of people who likes cats and dogs = P ( C ∩ D ) = 63 %

The probability of people who likes dogs P ( D ) = 26 %

The probability of people who doesn't like cats or dogs 1 - P ( C∪D ) = 7 %

Therefore , the value of P ( D ) = 26%

Hence , probability of people in the survey who likes dogs is 26 %

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Answer: \(\frac{1}{3}\) gallon of milk

Step-by-step explanation:

       We will divide 2/3 by 2 to find the answer to this problem.

   Given:

2/3 / 2

   "Keep, change, flip"

2/3 * 1/2

   Multiply and simplify

2/6 = 1/3 gallon of milk

   Another way to this of this is that we have 2 third gallons of milk. If there are two students, then 2 / 2 = 1. Each student will get one-third, or 1/3 gallon of milk.

the merchant uses 48 pounds of the $3 tea and 32 pounds of the $2.75 tea in the blend.

To determine the amount of each type of tea used in the blend, we can set up a system of equations based on the given information. Let's assume x pounds of the $3 tea are used and y pounds of the $2.75 tea are used.

The first equation represents the total weight of the mixture: x + y = 80 (equation 1).

The second equation represents the average price per pound of the mixture: (3x + 2.75y) / 80 = 2.90 (equation 2).

To solve this system of equations, we can use the method of substitution or elimination.

Using substitution, we can solve equation 1 for x: x = 80 - y. Substituting this into equation 2, we have (3(80 - y) + 2.75y) / 80 = 2.90.

Simplifying the equation, we get (240 - 3y + 2.75y) / 80 = 2.90.

Combining like terms, we have (240 - 0.25y) / 80 = 2.90.

Cross-multiplying, we get 240 - 0.25y = 2.90 * 80.

Simplifying further, we have 240 - 0.25y = 232.

Subtracting 240 from both sides, we get -0.25y = -8.

Dividing both sides by -0.25, we find y = 32.

Substituting this value of y into equation 1, we have x + 32 = 80.

Solving for x, we get x = 80 - 32 = 48.

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He made $480 in commission last month

This refers to the fee paid to an agent or employee for transacting a piece of business or performing a service

First, convert 8% into a decimal

8%/100

= 0.08

Multiply the decimal by his sales

0.08 * 6000

480

Therefore, he made $480 in commission last month

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The type of error that occurs  if you fail to reject h0 when, in fact, it is not true is a type 2 error.

Type 2 error is when the null hypothesis is not rejected even though it is not false. Type 1 error is when the null hypothesis is rejected when it is true. A type 2 error leads to a false negative which is also known as an error of omission.

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Greatest number that divides 300, 560 and 500 is 20 .

Given numbers : 300, 560 and 500

First let’s find prime factors of 300,560 and 500

300 = 2^2 *3^1 *5^2

560= 2^4 * 7^1 *5^1

500 = 2^2 * 5^3

So,

Here highest common power of 2 is 2

Here highest common power of 3 is 0

Here highest common power of 5 is 1

Here highest common power of 7 is 0

Thus HCF (300, 560 and 500) = 2^2 * 5^1 * 3 ^0 * 7 ^0

=4*5*1*1

= 20

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Answer:

x = 2.5

or

x = \(2\frac{1}{2}\)

Step-by-step explanation:

18x + 6 + 4 = 55

18x + 10 = 55

18x = 55 - 10

18x = 45

x = 2.5

Hope this helps!

Have a nice day!

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Answer:

2.5

Step-by-step explanation:

Answer:

Y=3x+4

Step-by-step explanation:

The correct representations of the inequality expression are (a) 6x – 15 > -10 + 5x and (c) 3(2x – 5) > -5(2 – x)

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

–3(2x – 5) < 5(2 – x)

Divide bot sides of the inequality by -1

So, we have the following representation

3(2x – 5) > -5(2 – x)

Next, we open the brackets

This gives

6x – 15 > -10 + 5x

Hence, the representation is 6x – 15 > -10 + 5x

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Complete question

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

(a) 6x – 15 > -10 + 5x

(b) 6x – 15 < -10 + 5x

(c) 3(2x – 5) > -5(2 – x)

(d) 3(2x – 5) < -5(2 – x)

Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

3x

Step-by-step explanation:

because if f is -5, -5=-3x-4, -5+4, -1=-3 divide and get 3=x

Answer:

4(10 + 16)

Step-by-step explanation:

40 + 20 = 60, so none of the answers can be 60.

Let's look at all of the answer choices:

10(4 + 2) = 60

4(10 + 16) = 104 (this is the answer!)

5(8 + 4) = 60

2(20 + 10) = 60

Answer:

A fraction bar separates the numerator and denominator of a fraction. It indicates that a division of the numerator by the denominator will be performed.

Step-by-step explanation:

In math, a fraction bar can be defined as a visual representation of fractions that helps in comparing fractions and carrying out operations with fractions. Fraction bars or fraction strips are a part-to-whole representational model. Each part of a fraction bar represents one unit out of a whole.

Answer:To separate the top and bottom numbers.

Step-by-step explanation:In math, a fraction bar can be defined as a visual representation of fractions that helps in comparing fractions and carrying out operations with fractions.

Answer:

11.68 m^2

Step-by-step explanation:

area of triangle = 1/2(b)(h)

b = 7.3, h = 3.2

1/2(7.3)(3.2) = 11.68

Answer:

11.68m

firstly remember area of triangle is half multiplied by base multiplied by height

Answer:

yeah it is 9/16 you just need to subtract 7 from 16 and you get nine, you dont need to change the denominater.

Answer:

7/16 girls

all students are represent by1

boys=1-7/26(girls)

We would have the exponents as;

1. x^7/4

2. 2^1/12

3. 81y^8z^20

4. 200x^5y^18

A type of mathematical notation known as an exponent is used to represent the size of a number raised to a specific power or the repeated multiplication of a single integer. Powers and indexes are other names for exponents. They are used as a simplified form of repeated multiplication.

Given that that;

1) 4√x^3 . x

x^3/4 * x

= x^7/4

2) In the second problem;

3√2 ÷ 4√2

2^1/3 -2^1/4

2^1/12

3) In the third problem;

(3y^2z^5)^4

81y^8z^20

4) In the fourth problem;

(5xy^3)^2 . (2xy^4)^3

25x^2y^6 . 8x^3y^12

200x^5y^18

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The bars in a histogram are not separated because the data being represented is continuous.

A histogram is a graphical representation of the distribution of data. Histograms are used to illustrate the frequency of data values in a set of information. They provide an estimation of the probability distribution of a continuous variable, which is critical for data analysis in numerous fields.

A histogram can be a bar chart with a frequency count, percentage frequency, or density. Histograms are used to visualize continuous data because they represent an estimation of the underlying probability density function of the random variable that produces the data.

Continuous data is quantitative data that can be measured and manipulated in fractions or decimal points. This data is often represented as a line on a graph. Discrete data, on the other hand, can only take on specific values that are distinct from one another.

Examples of discrete data are the number of pets you have or the number of cars in your garage. They can also be represented graphically as a bar graph because the information falls into discrete bins.

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The American Heart Association provides a variety of delicious and easy-to-make recipes that are not only tasty but also heart-healthy.

These recipes are designed to be lower in sodium and lower in fat, making them a great choice for maintaining a healthy heart.

To find and save these recipes, you can visit the American Heart Association's official website or use their mobile application. They offer a wide range of recipes in various categories, including breakfast, lunch, dinner, snacks, and desserts. You can search for recipes based on your dietary preferences, ingredients, and cooking time.

By incorporating heart-healthy recipes into your meal planning, you can enjoy flavorful and nutritious meals while taking care of your cardiovascular health.

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Explanation:

The angles SPT and TPU marked in red are congruent. They are congruent because of the similar arc markings.

Those angles add to the other angles to form a full 360 degree circle.

Let x be the measure of angle SPT and angle TPU.

86 + 154 + 60 + x + x = 360

300 + 2x = 360

2x = 360-300

2x = 60

x = 60/2

x = 30

Each red angle is 30 degrees.

Then,

angle SPQ = (angle SPT) + (angle TPU) + (angle UPQ)

angle SPQ = (30) + (30) + (86)

angle SPQ = 146 degrees

--------------

Another approach:

Notice that angles QPR and RPS add to 154+60 = 214 degrees, which is the piece just next to angle SPQ. Subtract from 360 to get:

360 - 214 = 146 degrees

Answer:

Answer C

Step-by-step explanation:

Sorry If it's wrong or not.

Step-by-step explanation:

l = length

w = width

l = w + 10

l×w = 600 m²

now, using the identity of the first equation in the second equation

(w + 10)×w = 600

w² + 10w = 600

w² + 10w - 600 = 0

the general solution to such a squared equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = w

a = 1

b = 10

c = -600

w = (-10 ± sqrt(10² - 4×1×-600))/(2×1) =

= (-10 ± sqrt(100 + 2400))/2 = (-10 ± sqrt(2500))/2 =

= (-10 ± 50)/2 = -5 ± 25

w1 = -5 + 25 = 20 m

w2 = -5 - 25 = -30

the negative solution does not make any sense for side lengths. so, the only valid solution is w = 20 m.

l = w + 10 = 20 + 10 = 30 m

the length is 30 m.

the width is 20 m.

Control Charts, histograms, and Pareto charts are all tools used in statistical quality control to monitor and analyze data from a process. While they have some similarities, each chart has a unique purpose and provides different types of information.

Control Charts:

A control chart is a graphical tool that is used to monitor and analyze the stability of a process over time. It is used to plot data points on a chart with control limits to help determine if a process is in control or out of control. The purpose of control charts is to help identify when a process is experiencing common cause variation (random variation that is inherent in the process) or special cause variation (variation that is caused by a specific factor). Control charts are often used in manufacturing to monitor variables such as weight, temperature, and pressure.

Histograms:

A histogram is a graphical tool used to display the frequency distribution of a set of continuous data. It is used to group data into intervals or "bins" and display the frequency of data points falling into each bin. Histograms provide a visual representation of the shape of the distribution of the data, as well as information about the central tendency, spread, and outliers. Histograms are often used in quality control to analyze the distribution of measurements or defects.

Pareto Charts:

A Pareto chart is a graphical tool used to display the relative frequency or size of problems or causes in a process. It is used to identify the most important or frequent problems or causes in a process, and to prioritize improvement efforts. Pareto charts are constructed by ranking problems or causes in descending order of frequency or size, and plotting them on a bar chart. Pareto charts are often used in quality control to identify the most common sources of defects or complaints.

In summary, control charts are used to monitor the stability of a process, histograms are used to analyze the distribution of data, and Pareto charts are used to identify the most important or frequent problems or causes in a process. Each chart provides different types of information and is used for a specific purpose in statistical quality control.

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Answer: A

Step-by-step explanation:

because i nsaid sooooo

We use Tan in this case:

Tan=(opposite/adjacent)

Tan(36)=23/x

x=23/Tan(36)

x=31.64 length

Hope it helps!

Answer:

x ≈ 31.64

Step-by-step explanation:

Trigonometric ratios

\(\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}\)

where:

Given:

The given trigonometric ratios all use the angle of 36°.

From inspection of the given diagram:

Therefore, we should use the tan trig ratio.

\(\implies \sf \tan(36^{\circ})=\dfrac{23}{x}\)

\(\implies \sf x=\dfrac{23}{\tan(36^{\circ})}\)

Substituting the given value for tan 36°:

\(\implies \sf x \approx \dfrac{23}{0.727}\)

\(\implies \sf x\approx31.64\)

Answer:

Step-by-step explanation:

10 + 3k = 22

3k = 22 - 10

k = 12 / 3

k = 4

therefore, the answer is D. 4

Identify the predictor and response variables, then create a scatterplot in Minitab. Characterize the association between the variables as linear or nonlinear and negative, none, or positive.

In exploratory data analysis, the first step is to identify the research question and the two variables of interest. The predictor variable (also known as the explanatory variable or independent variable) is the one that is used to explain or predict the outcome of the response variable (also known as the dependent variable).

After identifying the two variables, one can use software such as Minitab to create a scatterplot of the data. The scatterplot helps to visualize the relationship between the two variables.

To characterize the association between the two variables, we would first determine if the relationship appears to be linear or nonlinear. If the relationship is roughly linear, we would then determine if it is negative (meaning that as one variable increases, the other tends to decrease), positive (meaning that as one variable increases, the other tends to increase), or none (meaning that there is no clear trend).

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