(10) WORK OUT THE INVERSE FUNCTION FOR EACH EQUATION. WRITE YOUR SOLUTION ON A CLEAN SHEET OF PAPER AND TAKE A PHOTO OF IT. 2 points a.y = 3x - 4 Your answer b. x→ 2x + 5 2 points Your answer 2 poin

The total weight is 18.5 kilograms

Answer:3(b+6)

Step-by-step explanation:

The factorization of the expression is 3(b+6).

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.

The given expression is 3b + 18​. The factorization of the expression will be done as,

E = 3b + 18

Take 4 as common from the above expression.

E = 3b + 18

E = 3(b+6).

Therefore, the factorization of the expression is  3(b+6).

To know more about an expression follow

https://brainly.com/question/17103770

#SPJ2

She knows that even as she leaves, she will surely come back for the ones who are not strong enough to escape on their own, the ones “left behind.”

Esperanza is aware that one day she will leave Mango Street with her books and paper because she is too powerful to be imprisoned there indefinitely. But she is aware that even as she departs, she will undoubtedly return in search of the "left behind," or those who lack the strength to flee on their own.

She introduces the tale by informing the audience that she will tell them a tale about a girl who didn't want to fit in. She reiterates the passage from the first chapter in which she states that she has lived on other streets in addition to Mango Street.

Learn more about 'The House on the Mango Street' here: brainly.com/question/27656958

#SPJ4

Answer:

5°

Step-by-step explanation:

4x+81=13x+36

answer is 5°

Answer:

45

Step-by-step explanation:

2 angles unconnected to an exterior angle = the exterior angle. In this case

70 + x = 115                 Subtract 70 from both sides

70-70+x =115-70         Combine

x = 45

Answer: Heyaa!

Your Answer Is... The square root of 121 is 11.

Step-by-step explanation:

It is the positive solution of the equation x2 = 121. The number 121 is a perfect square.

Prime factorization of 121 = 11 × 11

Prime factors of 11 in pairs: (11 × 11)

Square root of 121: √(11 × 11) = √(112)

Therefore, √121 = 11

Hopefully this helps you !

- Matthew ~~

For a perfectly symmetrical Distribution, the perfect relationship is

Mean = Median.

A symmetric distribution is when the values ​​of a variable occur with regular frequency, often the mean, median, and mode all occurring at the same point. A line in the middle of the chart indicates that the two planes are mirror images of each other. In graphical form, symmetric distributions are displayed as normal (that is, bell-shaped) distributions. Symmetric distribution is a central concept in technical trading as it assumes that the price movements of an asset over time follow a symmetric distribution curve.

A symmetric distribution can be contrasted with an asymmetric distribution. Asymmetric distributions are probability distributions that are skewed or otherwise irregular in shape.

The Properties of Symmetrical distribution is :

Mean:

In mathematics, especially statistics, there are several kinds of instruments. Each average is used to summarize a particular group of data in order to better understand the overall values ​​(magnitude and sign) of a particular data set.

For datasets, the arithmetic mean, also called the "arithmetic mean", is a measure of the central tendency of a finite set of numbers. More specifically, the sum of the values ​​divided by the number of values. The arithmetic mean of a series of numbers x₁, x₂, ..., xₙ is usually given by the overhead bar. The dataset was based on a series of observations obtained by sampling from a statistical population. The arithmetic mean is the population mean is denoted by μ.

Median:

The median is the number in the middle of a sorted ascending or descending list of numbers that better describes the data set than the mean. This is the point above and below which half (50%) of the observed data lies, representing the midpoint of the data. Often compared to descriptive statistics.

Learn more about Symmetrical Distribution:

https://brainly.com/question/28285791

#SPJ4

Answer:

\(a^4\) Where (a) is the side length of the hypercube

Step-by-step explanation:

A dimension can be simply defined as a direction in which matter can move it.

We live in a 3-dimensional world, matter can move in three basic directions. The formula for finding the volume of a cube is the following: (\(a^3\)). In the second dimension, a flat world, the area for the volume of a square is as follows: (\(a^2\)). However, a hypercube is a paradox, as it exists in 4-dimensions, thus it cannot exist in our world. However, scientists propose "String theory" which requires that matter can move in more directs than the (3) we know of in our world. In essence, there can be more than 3 dimensions. A hypercube is the 4-dimensional version of a cube. If it follows the area pattern that a square-object follows in all preceding dimensions then the area of a hypercube is (\(a^4\)).

Bear in mind that the area patter for a square-object is generally the following:

\(a^n\)

Where (a) is the side length of the square-object

(n) is the dimension the object is in.

Please keep in mind, this answer was written in the June of 2021, as science keeps progressing and new discoveries are made, this theory can be disproven. Therefore, this answer might be considered correct now, but it can be proven incorrect in the future.

Answer:

B

Step-by-step explanation:

Answer:

- 24

Step-by-step explanation:

Given

y = - 4x² - 8

The input is the value of x and the output the corresponding value of y.

Here input is 2 , substitute x = 2 into the relation, that is

y = - 4(2)² - 8 = - 4(4) - 8 = - 16 - 8 = - 24

For an input of 2, the output is - 24

Answer:

k represents the constant of proportionality

The coefficient of determination in terms of the variance that is an output from the analysis of variance table Explained variance divided by total variance.

What is Explained variance?

The percentage of a particular data set's variance that can be explained by a mathematical model is known as explained variation in statistics. Variance is frequently used to measure variation; after that, the more precise phrase explained variance can be employed.

When forecasting the result of an event, the coefficient of determination is a statistical measurement that looks at how variations in one variable may be explained by differences in a second variable. In other words, the R-squared (or R²) coefficient, which is more frequently used to refer to the strength of a linear relationship between two variables, is a crucial tool for researchers when undertaking trend analysis. For illustration, this coefficient might be used to consider the possibility that a woman would give birth to her child on a specific date in the future if she became pregnant on a specific day. This metric's objective in this situation is to determine the relationship between the connected occurrences of conception and birth.

To learn more about coefficient of determination, click on below link:

https://brainly.com/question/29581430

#SPJ4

Answer:

x = 6

Step-by-step explanation:

Here, we are to find the value of x

Applying the side splitter theorem, we have that;

10/30 = 2/x

Thus;

10 * x = 30 * 2

10x = 60

x = 60/10

x = 6

Answer:

90

Step-by-step explanation:

\(\frac{5}{9}(194-32)=90\)

The sample data provides evidence against the claim that the population mean is 959. In other words, we can say with 95% confidence that the true population mean is not equal to 959.

The hypothesis test is concerned with determining whether the sample data supports the claim that the population mean (μ) is equal to 959. Since the sample size (n) is 25, we need to consider the distribution of the sample means.

The central limit theorem tells us that as long as the sample size is sufficiently large, the distribution of the sample means will be approximately normal regardless of the shape of the population distribution. However, in this case, the sample size is relatively small (n = 25), and we do not know the population standard deviation (σ), so we need to use the Student t distribution.

To perform the hypothesis test, we first calculate the t-statistic:

t = (951 - 959) / (25 / √(25)) = -2.4

where 951 is the sample mean, 959 is the hypothesized population mean, and s is the sample standard deviation. The degrees of freedom for the t-distribution are n - 1 = 24.

Using a t-table or a calculator, we can find the p-value associated with the t-statistic. For a two-tailed test with a significance level of 0.05 and 24 degrees of freedom, the critical t-value is approximately ±2.064. Since the calculated t-value (-2.4) is outside the range of the critical t-values, the p-value is less than 0.05, and we reject the null hypothesis.

Therefore, we conclude that the sample data provides evidence against the claim that the population mean is 959. In other words, we can say with 95% confidence that the true population mean is not equal to 959.

To learn more about population mean here:

brainly.com/question/19538277#

#SPJ11

The mathematical relationship between the number of behaviors and the information content (u) in bits can be described by the equation u = log2(N), where u represents the information content and N represents the number of behaviors.

The mathematical relationship between the number of behaviors and the information content can be quantitatively expressed using Shannon's information theory. According to Shannon's theory, the information content (u) in bits is directly related to the logarithm (base 2) of the number of possible behaviors (N).
The equation that represents this relationship is:
u = log2(N)
In this equation, "u" represents the information content in bits, and "N" represents the number of behaviors. The logarithm function measures the number of times 2 must be multiplied to get the number of behaviors.
For example, if there are 4 possible behaviors, then the information content would be:
u = log2(4)
u = log2(2^2)
u = 2 bits
This means that there are 2 bits of information content associated with 4 possible behaviors.

Learn more about Shannon's information theory

https://brainly.com/question/33335038

#SPJ11

Answer:

Corresponding angles: 6∠2

Alternate Exterior Angles: 2∠8

Alternate Interior Angles: 4∠6

Step-by-step explanation:

Hope this helped, Please mark me brainliest, thank you!

Therefore, option (a) is correct. We are given that the integers that are congruent to 5 modulo 17 are to be identified. We can do this by adding or subtracting 17 to 5, until we get the required numbers.

Here,\(17 × 6 = 102\)So, the numbers which are 5 more than a multiple of 17 are \(17 × 6 + 5 = 103\)And the numbers which are 5 less than a multiple of 17 are \(17 × 7 − 5 = 110\) and so on..

Therefore, the integer 103 is congruent to 5 modulo 17. In other words, \(103 ≡ 5\)(mod 17).

\(−29, -46, -63, -80, -97, -114, -131\)

Therefore, -29 is not congruent to 5 modulo 17.

So, option (b) is incorrect.

If we add 17 to 56 until we get the required numbers, we get the sequence as shown below:56, 73

Therefore, 56 is not congruent to 5 modulo 17.

So, option (d) is incorrect.

Therefore, the correct option is only (a) 103.

To know more about integers visit:-

https://brainly.com/question/490943

#SPJ11

Answer:

coefficients are : 15. constants are: 3

Step-by-step explanation: hope it helps

In the expression, 15x + 3 there are two terms.

The coefficient of x is 15.

The constant term is 3.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

15x + 3

There are two terms:

15x and 3

The coefficient of x is 15.

The constant term is 3.

Thus,

There are two terms.

The coefficient of x is 15.

The constant term is 3.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

\(\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}\)

\(\longrightarrow \sf{2(1 + b) = 260}\)

\(\longrightarrow \sf{2(x+30+x) = 260}\)

\(\longrightarrow \sf{ 2x+30 = \dfrac{260}{20} }\)

\(\longrightarrow \sf{2x + 30 =130}\)

\(\longrightarrow \sf{2x = 130 - 30}\)

\(\longrightarrow \sf{2x = 100}\)

\(\longrightarrow \sf{x= \dfrac{100}{2} }\)

• \(\longrightarrow \sf{b= \underline{50cm}}\)

\(\longrightarrow \sf{= x + 30}\)

\(\longrightarrow \sf{= 50 + 30}\)

• \(\longrightarrow \sf{ \underline{80cm}}\)

\(\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}\)

\(\large\bm{Breadth= \: 50cm}\)

\(\large\bm{Length= \: 80cm}\)

Answer:

y=1/3x-3

Step-by-step explanation:

slope = (y2-y1)/(x2-x1)

Use the two points: (0,-3) (3,-2)

slope = (-3+2)/(0-3)

slope = -1/-3 = 1/3

y intercept = -3

Equation: y=1/3x-3

Answer:

Step-by-step explanation:

15 mph just multiply it

The most appropriate test statistic to use for an experiment on relaxation techniques is matched pairs test. So, option(a) is right one.

For determining the validity of an asserting claim, the appropriate test statistic is formulated based on the population parameter to be tested from the estimated test statistic. Determining a claim related to a single parameter (e.g., the population mean) an appropriate test statistic, i.e., t-statistic or z-statistic is chosen based on the sample size. Also, In the case of claim related to examining the relationship between two population parameters, the two-sample test for t- or z statistic is formulated, based on appropriate sample sizes. We have an experiment related to relaxation techniques. The subject's brain signals were noted before and after the relaxation exercises. Claim is that relaxation exercise slowed the brain waves. There is two data sets one before and other after the relaxation exercise. So, for check the claim is true or not we use the matched pairs. The matched-pair t-test (or paired t-test or dependent t-test) that is used when the data from the two groups can be presented in pairs.

For more information about test statistic, visit:

https://brainly.com/question/30458874

#SPJ4

The cost of ordering 22 solder-less lugs at the list price less 35% will be $101.20.

Solder-less lugs are priced at $4.25 each, including a 40% discount when purchased in standard packages of 100. To find the original price without the discount, we'll first calculate the price before the 40% discount:

$4.25 / (1 - 0.40) = $4.25 / 0.60 = $7.08 (rounded to 2 decimal places)

Now, if you only need 22 solder-less lugs and are eligible for a 35% discount, we'll calculate the discounted price for each lug:

$7.08 * (1 - 0.35) = $7.08 * 0.65 = $4.60 (rounded to 2 decimal places)

Finally, to find the total cost for 22 solder-less lugs with a 35% discount, we'll multiply the discounted price by the quantity ordered:

$4.60 * 22 = $101.20

To learn more about discounted price click here

brainly.com/question/19867145

#SPJ11

The relationship between the confidence interval and the margin of error is that the margin of error determines the width of the confidence interval.

The margin of error is a measure of the uncertainty associated with a sample statistic, such as the mean or proportion. It represents the maximum amount by which the sample statistic may differ from the true population parameter, with a certain degree of confidence. The confidence interval, on the other hand, is a range of values that is likely to contain the true population parameter, with a certain degree of confidence. The width of the confidence interval is determined by the margin of error.

Therefore, none of the options given in the question is correct. The width of the confidence interval is typically calculated by multiplying the margin of error by a factor that depends on the desired level of confidence. For example, a 95% confidence interval is typically calculated by multiplying the margin of error by 1.96, which corresponds to a confidence level of 95%. In summary, the margin of error determines the width of the confidence interval, but the relationship between the two is not as simple as any of the options given in the question.

To learn more about statistic click here, brainly.com/question/31538429

#SPJ11