Please help me I don’t understand

Answer:

x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Solve for x

[tex]\frac{2}3}(3-6x)=-3(8x-4)[/tex]

Distribute [tex]\frac{2}{3}[/tex] and -3.

[tex]2-4x=-24x+12[/tex]

Simplify

[tex]-4x+2=-24x+12[/tex]

Subtract 2 on both sides

[tex]-4x=-24x+10[/tex]

Subtract -24x on both sides

[tex]20x=10[/tex]

Divide by 20

[tex]x=\frac{1}{2}[/tex] or 0.5

Since quadrilateral MATH has opposite sides congruent and parallel, it is a parallelogram.

In a parallelogram, opposite sides are parallel and congruent, but the opposite angles are also congruent.

Therefore, we can say that angle M is congruent to angle H, and angle A is congruent to angle T.

Option A states that MT is congruent to AH, which is not always true for a parallelogram.

Option B states that MT is perpendicular to AH, which is also not always true for a parallelogram.

Option C states that angle MHT is congruent to angle ATH. Since angle M is congruent to angle H and angle A is congruent to angle T, we can say that angle MHT is congruent to angle ATH. This is always true for a parallelogram, as opposite angles are congruent.

Option D states that angle MAT is congruent to angle MHT. This is not always true for a parallelogram. While angle MHT is congruent to angle ATH (as explained in Option C), there is no reason to assume that angle MAT is congruent to angle MHT.

Therefore, the correct answer is: C. Angle MHT is congruent to Angle ATH.

Answer: The correct digits for the combination lock are 1, 5, and 8, in that order.

Step-by-step explanation:

Based on the given clues, we can deduce the correct digits for the combination lock as follows:

From the clue "128 One digit is right and in its place," we know that one of the digits is 1.

From the clue "157 One digit is right, but in the wrong place," we know that either 5 or 7 is a correct digit, but in the wrong position. Since we already know that one of the digits is 1, the correct digit must be 5. Therefore, the second digit is 5 and it is in the wrong place.

From the clue "841 Two digits are right but both are in the wrong place," we know that the digits 8 and 4 are correct, but they are both in the wrong position. Therefore, the last digit must be 4 or 8. However, we also know from the clue "624 One digit is right, but in the wrong place" that the last digit is not 4. Therefore, the correct third digit is 8.

So, the correct digits for the combination lock are 1, 5, and 8, in that order.

Therefore, the combination for the lock is 158.

Each phrase can be epressed as an algebraic expression as:

n/8

4p,

b+14

90x

-16

24-k

3(w)

1+q

13/z

45+c

w-8

An expression that uses constant algebraic numbers, variables, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). A good example of an algebraic expression is 3x2 2xy + c.

A variable expression can be described using its terms and operations on the terms as an algebraic expression. For instance, "3 more than x" can be used to describe x + 3.

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The conversion of 21 km to miles is 13.04848 miles.

Kilometer (km) and mile are both units of measurement used to express distance or length.

Kilometer is a metric unit of distance commonly used in the International System of Units (SI) and is equal to 1000 meters.

To convert 21 kilometers (km) to miles, we can use the conversion factor of 1 km = 0.621371192 miles.

So, we can multiply 21 km by 0.621371192 miles/km to get the equivalent distance in miles:

21 km × 0.621371192 miles/km = 13.04848 miles (rounded to five decimal places)

Therefore, 21 km is approximately equal to 13.04848 miles.

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1) r base number is 3.

2)This is an exponential growth function

3) the Y interception is (0,2)

4)The purple line in the graph is a Horizontal asymptote and it has an equation 1.

5)The domain of the function is all real numbers.

6) The range of the function is all the real numbers >1

What is exponential growth function ?

A process called exponential growth sees a rise in quantity over time. When a quantity's derivative, or instantaneous rate of change with respect to time, is proportionate to the quantity itself, this phenomenon takes place.

This is an exponential growth function so

Our base number is 3.

For statement 2 as explained, it is a growth function.

As far we get in X-axis higher is the value.

For statement 3 the Y interception is (0,2) as sowed below.

For statement 4 The purple line in the graph is a Horizontal asymptote and it has an equation 1.

For statement 5 The domain of the function is all real numbers.

For statement 6 The range of the function is all the real numbers >1. Because we do not include the asymptote.

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Answer: 56 as a decimal is 0.56

Step-by-step explanation: Just simply add a decimal point in front of 56, and you’ll get 0.56

56 = 0.56

Hope this helps!

20h⁵ - 35h⁴ is the simplified and dispersed expression.

What does math's distribution mean?

Something is divided, shared, or given away when it is "distributed." What does this mean for the distributive property of mathematics? Basic arithmetic operations like addition and subtraction are used to divide the results of multiplication according to the distributive property of the law of multiplication.

We may utilize the distributive property of multiplication, which asserts that a(b + c) = ab + ac, to distribute and simplify 5h³(4h² - 7h).

The 5h³ is first distributed to both words inside of the parenthesis as follows:

5h³(4h² - 7h) is equal to 5h³ * 4h² - 5h³ * 7h.

Secondly, by multiplying the coefficients and adding the exponents, we simplify each term:

20:5 + 5:3 + 4:2 + 5:3 + 7:4 = 35:4

When we add everything together, we get the following: 5h³(4h² - 7h) = 20h⁵- 35h⁴.

Hence, 20h⁵ - 35h⁴ is the simplified and dispersed expression.

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Answer:

-2+sqrt(2)i and -2-sqrt(2)i

Step-by-step explanation:

use system of equations

xy = 6

x+y=-4

(-4-y)y=6

-y^2 -4y + 6 = 0

Use quadratic formula

y = -2 ± sqrt(2)i

Now substitute

x + (-2 ± sqrt(2)i) = -4

X = -4-(-2±sqrt(2)i) = -2±sqrt(2)i

are you sure you typed the question right?

Answer:

See explanation below

Answer is 1/8

Step-by-step explanation:

The expression is:

[tex]\left(\dfrac{1}{512}\right)^{\dfrac{1}{3}}[/tex]

A number x raised to the power [tex]\dfrac{1}{3}[/tex] means it is the cube root of that number or [tex]\mbox{\large \sqrt[3]{x} }[/tex]

Also [tex]\left(\dfrac{1}{x}\right)^a = \dfrac{(1)^a}{x^a}[/tex]

Combining these two facts we get
[tex]\left(\dfrac{1}{512}\right)^{\frac{1}{3}} = \dfrac{1^{\frac{1}{3}}}{512^\frac{1}{3}}= \dfrac{\sqrt[3]{1} }{\sqrt[3]{512} } = \dfrac{1}{\sqrt[3]{512} }[/tex]

[tex]\sqrt[3]{512} = 8[/tex]

So
[tex]\left(\dfrac{1}{512}\right)^{\dfrac{1}{3}} = \dfrac{1}{8}[/tex]

To convert  90% confidence interval, add and subtract the margin of error from the sample mean

A 90% confidence interval is a range of values that is likely to contain the true population parameter with 90% probability. Here's how you can calculate a 90% confidence interval:

Collect a sample of data that is representative of the population

Calculate the sample mean and the sample standard deviation (s).

Determine the sample size (n).

Use a t-distribution table or calculator to find the critical t value for a 90% confidence level and (n-1) degrees of freedom.

Calculate the margin of error by multiplying the critical t value by the standard error of the mean, which is s/ [tex]\sqrt{n}[/tex].

margin of error = t-value × (s / [tex]\sqrt{n}[/tex])

Determine the upper and lower bounds of the confidence interval by adding and subtracting the margin of error from the sample mean.

Lower bound = Sample mean - margin of error

Upper bound = sample mean + margin of error

The resulting interval will be the 90% confidence interval for the population mean.

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Regression is a statistical procedure for determining the linear relationship between a number of variables. A simple regression model has one dependent variable and one independent variable [tex](y)[/tex]

It is used to forecast the amount of a dependent variable according to the results of one independent variable. [tex](x)[/tex]

The estimated least-squares line has the following shape :[tex]y=bo+b1x[/tex].

In this case, the dependent variable is, the independent variable is, the intercept is, and the slope coefficient is.

The slope of a linear regression describes how a unit change in x changes the y value.

When, the intercept represents the expected mean value of Y. When X never equals zero, the intercept has no intrinsic meaning.

Step  (1) The process of estimating the linear relationship between two or more variables is known as regression. Only if there is a linear relationship between both variables can a regression equation be used to predict future.

Linear regression is the most fundamental a kind of regression and is the most widely used proposed model. A regression line can be used to predict dependent variables based on independent variables.

Step: (2) Outliers have a significant impact on the slope of the regression line. Influential points are also referred to as outliers in regression analysis.

Outliers can have a significant impact on the regression equation, so remove any outliers that are recognized errors. Consider the effects of any known inconsistencies that are outliers.

Step 3: Because outliers can have a large impact on the regression line, they are also referred to as important and powerful points.

An outlier is a data point that is located far away first from remaining pieces of data. These are additionally known as influencing points. Outliers have a significant influence on the slope of something like the regression line.

For linear associations, regression models can be utilized.

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The value of 104 kg into lbs can be converted by multiplying kilogram by 2.204622  so the answer is 229.3 pounds.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

The SI unit of mass is the kilogramme (kg). It has the same mass as the international kilogramme prototype. The International Bureau of Weights and Measures maintains a platinum-iridium international prototype similar to this one. A kilogramme is about equivalent to 2.20462262184878 pounds.

The legal definition of a pound, or the international avoirdupois pound, is 0.45359237 kilogrammes.

Pounds = kilograms × 2.20462262184878

= 104 x 2.20462262184878

= 229.3 pounds or lbs.

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The angle of depression from point R to point S is ∠1.

The angle of elevation from point S to point R is ∠2.

∠2 is the angle of elevation from S to R.

∠1 is the angle of depression from point R to point S.

What is an angle of depression?

If the line of sight is directed downward from the horizontal line, then an angle is created with the horizontal line. The angle formed between the horizontal line and the observer's line of sight is known as the angle of depression if the object being observed is below the observer's level.

There is an angle of elevation from point R to S. Thus point R is lie above S.

The angle of depression from point R to point S is ∠1.

The angle of elevation from point S to point R is ∠2.

∠2 is the angle of elevation from S to R.

∠1 is the angle of depression from point R to point S.

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Step-by-step explanation:

-Multiply inside the brackets

-Add like terms ( Or in this case move it to the others side to find p)

-Add

- Then do some substitution to check for the answers

You cannot compare two marginal distributions to see if the corresponding two variables are related.

Therefore the answer is False.

Comparing two marginal distributions only provides information about the individual variables, not their relationship. Marginal distributions represent the frequencies or probabilities of each variable independently of the other variables in the dataset. To determine the relationship between two variables, a joint distribution or a statistical test such as correlation or regression analysis should be used. These methods allow for a deeper understanding of the relationship between the variables and can provide insights into their direction and strength of association. Therefore the given statement "You can compare two marginal distributions to see if the corresponding two variables are related." is False.

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The maximum number of people who can go to the amusement park is 6.

To determine the number of people who can go to the amusement park, use the following equation:

Total cost = Parking cost + Admission cost

The total cost cannot exceed $86, the amount of money the friends have. The parking cost is $5 and the admission cost per person is $13.50. Therefore, we can write the following equation:

86 ≥ 5 + 13.5x

To solve for x,  subtract 5 from both sides of the inequality and then divide both sides by 13.5. This gives us the following equation:

x ≤ (86 - 5) / 13.5

x ≤ 6

Therefore, the maximum number of people who can go to the amusement park is 6.

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From the Venn diagram , the value of  required probability P(A∪B) is given by :

Option a). 0.6 . The probability that students  takes both Spanish and Chemistry.

Let us consider 'A' be the probability of the students who takes Chemistry.

And 'B' be the probability of the students who takes Spanish.

From the Venn diagram we have,

Probability of A 'P(A) ' = 0.2 + 0.1

                                    = 0.3

Probability of B 'P(B)' = 0.3 + 0.1

                                   = 0.4

Probability of A∩B 'P(A∩B)' = 0.1

Probability of A∪B is given by :

P(A∪B) = P(A) + P(B) - P(A∩B)

Substitute the value we get ,

⇒ P(A∪B) = 0.3 + 0.4 - 0.1

⇒ P(A∪B) =  0.6

P(A∪B) represents the probability of the students that takes both Chemistry and Spanish.

Therefore, the value and explanation of P(A∪B)  is equal to :

Option a). 0.6 , the probability of the students that takes both Chemistry and Spanish.

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The above question is incomplete , the complete question is:

The - Venn diagram below describes the probability of students who will take Chemistry and Spanish at Jefferson High School next year, where A Student takes chemistry and B Students takes Spanish. Suppose one student is chosen at random Use the attached Venn diagram .

Find the value of P(A∪B) and describe in words.

a.) 0.6; The probability that the student takes both chemistry and Spanish.

b.) 0.1; The probability that the student takes both chemistry and Spanish.

c.) 0.1; The probability that the student takes either chemistry or Spanish; but not both.

d.)0.6; The probability that the student takes either chemistry or Spanish, or both.

Venn diagram is attached.

The square root of 12 is approximately 3.464. To calculate the square root of 12, you can use a calculator or manually by using long division or the Babylonian method.

The Babylonian method involves making an initial guess, dividing the number by the guess, averaging the result with the guess, and repeating the process until the desired level of accuracy is achieved. In this case, the process would look like this:

Repeat the process until the desired level of accuracy is achieved.

The square root of 12 is an irrational number, which means it cannot be expressed as a fraction and its decimal representation goes on forever without repeating.

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The area below the curve is equal to 10 - 3π / 2 square units. (Correct choice: B)

In this problem we need to determine the area below the curve for the interval x ∈ [- 4, 7]. Mathematically speaking, this area can be found by means of definite integrals. Given that we find a piecewise function formed by five expressions, the area is the sum of several subintervals.

The areas can be represented by using the following area formulas:

Triangle

A = 0.5 · w · l

Semicircle

A = 0.5π · R²

Rectangle

A = w · l

Where:

Please notice the area above the x-axis is positive and the area below the x-axis is negative. Finally, we find the net area below the curve:

A = 0.5 · 2 · 2 - 0.5π · 2² + 0.5 · 2 · 2 + 2 · 2 + 0.5π · 1² + 1 · 2

A = 2 - 2π + 2 + 4 + 0.5π + 2

A = 10 - 1.5π

A = 10 - 3π / 2

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Therefore, based on their z-scores, Ryan is more likely to be accepted at his university of choice than Kyle, assuming that the admissions decision is based solely on their exam scores.

Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain to occur. The closer the probability is to 1, the more likely the event is to occur, while the closer it is to 0, the less likely it is to occur.

Here,

To determine which of the two students is more likely to be accepted at their university of choice, we need to compare their exam scores relative to the other students who took the same exam. We can use the concept of standard scores, also known as z-scores, to make this comparison.

The z-score of an observation x is the number of standard deviations that x is away from the mean of the population. It is calculated as:

z = (x - μ) / σ

where x is the observation, μ is the mean of the population, and σ is the standard deviation of the population.

For Kyle's exam, his z-score is:

z = (403 - 355) / 59 = 0.814

For Ryan's exam, his z-score is:

z = (45 - 27) / 4 = 4.5

A z-score of 0 means the observation is at the mean of the population, while a positive z-score means the observation is above the mean, and a negative z-score means the observation is below the mean.

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The degree measure of angle A is 90 degrees if the measure of angle A is three times as big as the measure of angle C and the measure of angle B is 30 degrees bigger than the measure of angle C.

Let x be the measure of angle C in degrees.

According to the problem statement, angle A is three times as big as angle C, measuring 3x degrees.

Angle B is 30 degrees bigger than angle C, so its measure is x + 30 degrees.

The sum of the measures of the angles in a triangle is always 180 degrees so that we can write:

A + B + C = 180

Substituting the expressions we found for the angles in terms of x, we get:

3x + (x + 30) + x = 180

Simplifying and solving for x, we get:

5x + 30 = 180

5x = 150

x = 30

Therefore, angle C has a measure of 30 degrees, angle B has an estimate of 30 + 30 = 60 degrees, and angle A has a measure of 3(30) = 90 degrees.

So the degree measure of angle A is 90 degrees.

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There are 142,506 different committees of 5 students that can be selected from a group of 30 students.

The number of different committees that can be formed by selecting 5 students from a group of 30 students can be calculated using the formula for combinations, which is:

n C r = n! / r!(n - r)!

where n is the total number of items (in this case, the number of students) and r is the number of items to be selected (in this case, 5).

Substituting the values, we get:

30 C 5 = 30! / (5! * (30 - 5)!)

= (30 * 29 * 28 * 27 * 26) / (5 * 4 * 3 * 2 * 1)

= 142,506

Therefore, there are 142,506 different committees of 5 students that can be selected from a group of 30 students.

Probability is a branch of mathematics that deals with the study of random events and the likelihood of their occurrence. It is a measure of the chance or likelihood of an event happening, expressed as a number between 0 and 1. A probability of 0 means the event will not occur, and a probability of 1 means the event will definitely occur.

The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. This is known as the classical probability, and it assumes that all outcomes are equally likely.

There are also other types of probability, including empirical probability (based on observations and data), subjective probability (based on personal judgment and beliefs), and conditional probability (the probability of an event given that another event has occurred).

Probability has applications in many fields, including statistics, science, finance, and engineering. It is used to model and predict the occurrence of events, to make decisions under uncertainty, and to design systems and processes that can minimize risk and maximize the chances of success.

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This is the standard form of a quadratic function with leading coefficient 1, and  0 and -7.

If the zeros of a quadratic function are 0 and -7, then the function can be written as:

f(x) = a(x - 0)(x - (-7))

Simplifying:

f(x) = a(x)(x + 7)

To find the value of 'a', we can use one of the points on the parabola. Since we know that the x-intercept is 0, we can substitute x = 0 and y = 0 into the equation:

0 = a(0)(0 + 7)

0 = 0

This tells us that a can be any value, as long as it's not 0. Let's choose a = 1 for simplicity. Then the quadratic function with zeros 0 and -7 is:

f(x) = (x)(x + 7)

f(x) = x^2 + 7x

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The nominal GDP in 2012 is $3,450.00.

The GDP deflator is a price index that measures the average price level of goods and services produced in an economy. It is calculated as the ratio of nominal GDP to real GDP, multiplied by 100.

Nominal GDP (Gross Domestic Product) is a measure of the total value of all goods and services produced within a country's borders during a given period of time, usually a year, using current market prices

To use the GDP deflator formula to answer the question, we need to rearrange the formula and solve for nominal GDP:

Nominal GDP = Real GDP × (GDP deflator / 100)

Plugging in the given values, we get:

Nominal GDP = $2,300.00 × (150.00 / 100) = $3,450.00

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The given question is incomplete, the complete question is:

: The GDP deflator formula can be used in a variety of ways. Use it to answer the questions that follow. Round final answers to two decimal places, as needed. Real GDP $2300.00 GDP deflator 150.00 .what is the nominal GDP in 2012 ?

The length of the shadow casted by the building is 31.06 meters. The solution has been obtained by using trigonometry.

What is trigonometry?

Trigonometry is a discipline of mathematics that deals with the study of sides, angles, and relationships in triangles.

We are given that at a certain time of day, the angle of elevation of the sun is 44 degrees. The height of the building is given as 30 meters.

Using trigonometry,

We know that tan theta = opposite side/ adjacent side

So,

⇒tan 44° = 30/x

⇒0.9657 = 30/x

⇒x = 31.06

Hence, the length of the shadow casted by the building is 31.06 meters.

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The value of weight of 73 kg when converted to pounds is  160.93726 pounds.

kilogram is the standard unit of mass in the International System of Units (SI), while pounds are a common unit of mass used in the United States and other countries.

To Know how to convert between different units of measurement is essential for accurate calculations and comparisons. convert 73kg to pounds, you can use the formula: 1 kilogram is equal to 2.20462 pounds.

Therefore, to convert 73kg to pounds, you would multiply 73 by 2.20462.

73 x 2.20462 = 160.93726 pounds

So, weight of 73kg is equivalent to 160.93726 pounds

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Answer: The other angle would be 60 degrees.

Step-by-step explanation:

You can do this on the desmos graph