MATH if someone can please help that would be amazing thank you!

Answer:

true

Step-by-step explanation:

if you rewrite \(sec\left(\frac{\pi }{2}\:-x\right)\) with trigonometric identities:

\(sec\left(\frac{\pi }{2}\:-x\right)\)    \(=\frac{1}{\sin \left(x\right)}\)

\(\frac{1}{\sin \left(x\right)}\)  \(=\csc \left(x\right)\)

so, yes,  \(sec\left(\frac{\pi }{2}\:-x\right)\)  \(=\csc \left(x\right)\)

hope this helps!!

The approximate area of the trapezoid is determined as  13.95 unit².

The approximate area of the trapezoid is calculated as follows;

Area = ¹/₂(b₁ + b₂)h

Where;

The y-coordinates of the points on the curve at x=3/2 and x=4 is calculated as follows;

y(3/2) = - (3/2)²/2 + 3/2 + 5

y(3/2) = -9/8 + 3/2 + 5

y(3/2) = 5.375

y(4) = -4²/2 + 4 + 5

y(4) = -8 + 9

y(4) = 1

h = 5.375 - 1 = 4.375

The approximate area of the trapezoid is calculated as;

Area = ¹/₂(5.375 + 1) x 4.375

Area = 13.95 unit²

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Answer:

x = 4

Step-by-step explanation:

2x + 6 = 7x - 14

-7x        -7x

-5x + 6 = -14

      - 6    - 6

-5x = -20

/-5      /-5

x = 4

Check your answer:

2x + 6 = 7x - 14

2(4) + 6 = 7(4) - 14

8 + 6 = 28 - 14

14 = 14

This statement is true

Hope this helps!

Hey there! I'm happy to help!

All of the sides of a square are the same. Therefore, to find the area, you multiply the side by itself. Multiplying a number by itself is conveniently called squaring.

Doing this backwards is called finding the square root. If you have an area of 64, you square root it, showing you that the sides are 8.

This means the side length of our square rug is √99.

A rational number is one that can be written as a fraction of two integers. If you put √99 into your calculator, you get 9.949874371....

This is not a rational number because it goes on forever in no particular order, so we cannot write it as a fraction of two integers. The closest number we could use to have a rational square root would be 100, as its square root is 10.

Have a wonderful day! :D

Answer:

\( \frac{x - 4}{x - 7} \)

Step-by-step explanation:

\( \frac{ {x}^{2} + 2x - 24 }{ {x}^{2} - x - 42 } \\ \frac{(x + 6) (x - 4)}{(x - 7)(x + 6)} \:the \: term \: will \: be \: simplified (x + 6) \\ and \: we \: will \: be \: left \: with \: \frac{x - 4}{x - 7} \)

Answer:

Step-by-step explanation:

x² + 2x - 24 = x² + 6x  - 4x - 4 * 6

                   = x(x + 6) - 4(x + 6)

                   = (x + 6) (x - 4)

x² - x - 42 = x² -7x + 6x - 6 * 7

                = x(x - 7) + 6(x - 7)

               =  (x - 7) (x + 6)

\(\frac{x^{2}+2x-24}{x^{2}-x-42}=\frac{(x + 6)*(x-4)}{(x+6)(x-7)}\\\\\\=\frac{x-4}{x-7}\)

Answer:

Step-by-step explanation:

Pi (π) is an irrational number that represents the ratio of the circumference of a circle to its diameter. Pi cannot be expressed as a simple fraction, so it's an irrational number. Pi is approximately equal to 3.14159...

The square root of 2 is another example of an irrational number. This number cannot be expressed as a simple fraction either, so it's also irrational. The square root of 2 is approximately equal to 1.41.

The number e is greater than 5 and is also an irrational number. e represents the base of the natural logarithm and is approximately equal to 2.71828...  

As the number of people visiting each day is the same 404 people visited on Sunday.

We have,

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, The water park had a total of 1,212 visitors on Friday, Saturday, and Sunday and the number of people who visited on each day is the same.

As the number of visitors is same on each day and the total number of days is three each they the number of people visited is,

= (1212/3).

= 404.

So, On Sunday 404 visitors were there.

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complete question:

The water park had a total of 1,212 visitors on Friday, Saturday, and Sunday. If the same number of people visited each day, how many visitors were there on Sunday

The correct statement is: "The domains of g(x) and f(x) are the same, but their ranges are not the same."

The statement "The domains of g(x) and f(x) are not the same, and their ranges are also not the same" is correct. In general, when considering functions g(x) and f(x) derived from a parent function, the transformations applied to the parent function can affect both the domain and the range. The domain of a function refers to the set of all possible input values, while the range represents the set of all possible output values. Through transformations such as shifts, stretches, compressions, or reflections, the domain and range of a function can be altered. Therefore, it is possible for the domains and ranges of g(x) and f(x) to differ from each other and from the parent function.

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Answer: A: substitution method

Step-by-step explanation:

The substitution method is one way of solving systems of equations. To use the substitution method, use one equation to find an expression for one of the variables in terms of the other variable. Then substitute that expression in place of that variable in the second equation.

The recursive formula that represents the same sequence of numbers as the explicit formula an = 3n + 4 is an = an-1 + 3, with the initial term a1 = 7.

A recursive formula defines a sequence by expressing each term in terms of previous terms. In this case, the explicit formula an = 3n + 4 gives us a direct expression for each term in the sequence.

To find the corresponding recursive formula, we need to express each term in terms of the previous term(s). In this sequence, each term is obtained by adding 3 to the previous term. Therefore, the recursive formula is an = an-1 + 3.

To complete the recursive formula, we also need to specify the initial term, a1. We can find the value of a1 by substituting n = 1 into the explicit formula:

a1 = 3(1) + 4 = 7

Hence, the complete recursive formula for the sequence is an = an-1 + 3, with the initial term a1 = 7. This recursive formula will generate the same sequence of numbers as the given explicit formula.

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Parameter are values ​​that represents fixed characteristics of a population.

What is a parameter?

The parameter is an important component in statistical analysis because it describes fixed characteristics of the given population. The way to conclude the population characteristics is to perform statistical analysis on a sample of the population then calculate it with the parameter formula. The most commonly used parameters are mean, median, and mode. Data distribution of a ratio can be described by mean.  The Median is used to calculate the variables of data distribution which has a few data points that are different. Mode is used to know which number appears the most in a data distribution.

Based on statistical calculations from the existing population sample, conclusions can be drawn regarding the fixed characteristics of the entire population using parameters.

Hence, a parameter represents fixed characteristics of a population.

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Answer:

pretty sure is the first one

Step-by-step explanation:

-1/2x +3 =3x -4

To compute the z-score for the applicant, we can use the formula:

z = (x - μ) / σ

Where:

x is the applicant's score

μ is the mean

σ is the standard deviation

Given that the applicant's score is 21.0, the mean is 18.0, and the standard deviation is -3.0, we can substitute these values into the formula to calculate the z-score.

z = (21.0 - 18.0) / (-3.0)

z = 3.0 / -3.0

z = -1.0

Therefore, the z-score for the applicant is -1.0.

The correct option is O-10.

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The equation that Sasha can use to determine the minimum and maximum distance her city is from her vacation destination is 450 + 30 and 450 - 30.

It should be noted that an equation is simply used to illustrate the relationship between the variables that are illustrated or given in the data.

It should be noted that for the minimum distance, she has to subtract 30 miles from the vacation destination.

The minimum value will be:

= 450 - 30

= 420. miles.

For the maximum distance, she has to add 30 miles from the vacation destination.

The maximum distance will be:

= 450 + 30

= 480 miles.

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Variables declared within a method and those declared directly within a class differ in their scope and accessibility.

Variables declared within a method are called local variables. They are only accessible within the specific method in which they are declared. Local variables have a limited scope and their values are typically temporary and exist only as long as the method is executing. Once the method completes its execution, the local variables are destroyed and cannot be accessed from other methods or parts of the class.

On the other hand, variables declared directly within a class, but outside of any methods, are called instance variables or class variables. These variables are accessible throughout the entire class and can be accessed and modified by any method within the class. They have a broader scope and their values persist as long as the instance of the class exists. Instance variables hold data that is shared among multiple methods within the class, and their values can be accessed and modified across different methods.

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Answer:

x=0,-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

see you have to add something that equalles 0 so any questions like this you put a negitive infront of the 7.

Answer:

538.56

Step-by-step explanation:

792divide100=7.92x32=253.44

792-253.44=

Answer:

See below for proof.

Step-by-step explanation:

Given logarithmic equation:

\(2\log\left(\dfrac{15}{18}\right)-\log\left(\dfrac{25}{162}\right)+\log\left(\dfrac{4}{9}\right)=\log \left(2\right)\)

We can use Log Laws to prove that the left side of the equation equals the right side of the equation.

\(\textsf{Apply the Power law:} \quad n\log_ax = \log_ax^n\)

\(\implies \log\left(\dfrac{15}{18}\right)^2-\log\left(\dfrac{25}{162}\right)+\log\left(\dfrac{4}{9}\right)\)

\(\textsf{Apply the exponent rule:} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}\)

\(\implies \log\left(\dfrac{15^2}{18^2}\right)-\log\left(\dfrac{25}{162}\right)+\log\left(\dfrac{4}{9}\right)\)

\(\implies \log\left(\dfrac{225}{324}\right)-\log\left(\dfrac{25}{162}\right)+\log\left(\dfrac{4}{9}\right)\)

\(\textsf{Apply the Quotient law:} \quad \log_ax - \log_ay=\log_a \left(\dfrac{x}{y}\right)\)

\(\implies \log\left(\dfrac{\frac{225}{324}}{\frac{25}{162}}\right)+\log\left(\dfrac{4}{9}\right)\)

\(\implies \log\left(\dfrac{225}{324}\cdot\dfrac{162}{25}\right)+\log\left(\dfrac{4}{9}\right)\)

\(\implies \log\left(\dfrac{9}{2}\right)+\log\left(\dfrac{4}{9}\right)\)

\(\textsf{Apply the Product law:}\quad \log_ax + \log_ay=\log_axy\)

\(\implies \log\left(\dfrac{9}{2} \cdot \dfrac{4}{9}\right)\)

\(\implies \log\left(\dfrac{4}{2} \right)\)

\(\implies \log \left(2\right)\)

Hence proving that the left side of the equation equals log(2).

Answer:x − x^{2} − 1.

Step-by-step explanation:

.

The probability that the sixth fish is finished being cleaned between 103 and 139 seconds after he starts is approximately 0.7498.

As per the given question,

A fisherman can clean a fish according to a Poisson process with a rate of 1 every 20 seconds.

Let X be the time taken by the fisherman to clean a single fish.

The rate of the Poisson process is λ = 1/20 per second.

So, the mean of X is μ = E(X) = 20 seconds and the variance of X is σ\(-^{2}\) = Var(X) = 400 \(s^{2}\).

Now, the time taken by the fisherman to clean n fishes, \(Y_{n}\), can be modeled by a gamma distribution with parameters n and λ, i.e., \(Y_{n}\) ~ Gamma(n,λ).

The mean of \(Y_{n}\) is

μ' = E(\(Y_{n}\)) = n/λ seconds

and the variance of \(Y_{n}\) is

σ'\(-^{2}\) = Var(\(Y_{n}\)) = n/λ\(-^{2}\) \(s^{2}\).

By the central limit theorem, \(Y_{n}\) can be approximated by a normal distribution with mean μ' and variance σ'^2/n, i.e.,\(Y_{n}\) ~ N(μ',σ'\(-^{2}\)/n).

So, the time taken by the fisherman to clean 6 fishes, \(Y_{6}\), can be approximated by a normal distribution with mean

μ' = E(\(Y_{6}\)) = 6/λ = 120 seconds

and

variance σ'\(-^{2}\)/n = Var(\(Y_{6}\))/6 = 100/6 \(s^{2}\).

The probability that the sixth fish is finished being cleaned between 103 and 139 seconds after he starts can be calculated as follows:

Z\(^{1}\) = (103 - μ')/\(\sqrt{}\)(σ'\(-^{2}\)/6) = -1.15

Z\(^{2}\) = (139 - μ')/\(\sqrt{}\)(σ'\(-^{2}\)/6) = 1.15

Using the standard normal distribution table or calculator, the probability can be found as:

P(-1.15 < Z < 1.15) = P(Z < 1.15) - P(Z < -1.15) = 0.8749 - 0.1251 = 0.7498

Therefore, the probability that the sixth fish is finished being cleaned between 103 and 139 seconds after he starts is approximately 0.7498.

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The hypothesis test will test the null hypothesis that the population mean number of chocolate chips in each cookie is less than or equal to 10 versus the alternative hypothesis that the population mean number of chocolate chips in each cookie is greater than 10.

:The null and alternative hypotheses can be written as follows:H₀: μ ≤ 10 versus H₁: μ > 10Here,μ is the population mean number of chocolate chips in each cookie.The sample mean number of chocolate chips per cookie in the sample was 11.16. Hence, the null hypothesis is to be tested against the one-tailed alternative hypothesis H₁: μ > 10. The test statistic can be calculated as follows:z = (11.16 - 10) / (1.04 / √15) = 4.61The test statistic is 4.61.

The p-value for this test is less than 0.0001 (very small), which means that the null hypothesis is rejected. Therefore, we conclude that there is sufficient evidence to suggest that the population mean number of chocolate chips in each cookie is greater than 10.

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Answer:

\(\mathrm{A.\: 39.3}\)

Step-by-step explanation:

Let \(h\) represent the height of the two smaller triangles in this figure. Because all three triangles are similar, we can set up the following proportion:

\(\frac{33}{h}=\frac{h}{y}\), for \(y=x-33\).

We can solve for \(h\) using the Pythagorean theorem on the second largest triangle:

\(33^2+h^2=36^2,\\h=\sqrt{36^2-33^2},\\h=\sqrt{207}\).

Now plugging in \(h=\sqrt{207}\) into our proportion \(\frac{33}{h}=\frac{h}{y}\), we can solve for y:\(\frac{33}{\sqrt{207}}=\frac{\sqrt{207}}{y}\).

Cross-multiply to get:

\(33y=207,\\y=\frac{207}{33},\\y\approx 6.3\).

Since we \(y=x-33, y+33=x\).

Therefore, our answer is:

\(x=33+y=33+6.3=\fbox{$\mathrm{A.\: 39.3}$}\).

Answer:

The possible number of trees in each of the rows could be any amongst the following numbers;

1,2, 5 and 10

Step-by-step explanation:

Here, we want to know the possible common number of trees in each rows

For the girls, we have 30 trees

For the boys we have 50 trees

What we simply do here is to get the factors of both;

That will be listed as follows;

for 30;

1,2,3,5,6,10,15 and 30

for 50,

1, 2 , 5,10, 25 and 50

So the possible number of trees in each of the rows are;

1, 2 , 5 and 10

The equation is a shorthand method for writing a mathematical rule.

The answer to your question is b.equation. An equation is a shorthand method for writing a mathematical rule. It represents a relationship between two or more variables using mathematical symbols and operations. Equations are commonly used in algebra, calculus, and other areas of mathematics to solve problems and make predictions. They are written using an equal sign (=) to show that the expression on the left is equal to the expression on the right. Equations are an important tool in mathematics because they allow us to express complex ideas in a concise and precise way. By using equations, we can simplify calculations and solve problems more efficiently.
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As the y-intercept increases, the graph of the line shifts up;

As the y-intercept decreases, the graph of the line shifts down

There are two perspectives on this issue. The graphical technique would be the first method.

If we merely alter the y-intercept, the slope remains unchanged;

The vertical axis is the y-axis;

A higher or lower y-intercept can be obtained by shifting the line's point of intersection with the y-axis, respectively.

Now, using algebraic reasoning, a line has the general form of the following equation:

When x = 0, the y-intercept is essentially computed as follows:

y = b:

The graph shifts up or down depending on how much we change the b value, which also affects how much the y value changes.

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The answer to whether Dr. Reyes can make a causal inference from the study is;

No, she can't make a casual inference from the study because she met only one of the three criteria's for causality.

Now, the three conditions are;

1) Covariation; This condition means that the causal variable must have to vary with with the variable it is assumed to cause in a systematic manner.

2) Temporal precedence; Thus condition simply means that cause must precede effect. In summary it denotes that the variable that has the causal effect must come before the effect that it is meant to cause.

3) Control for extraneous variables; This condition means that results of an experiment or research must not be due to factors outside of the experiment/research

     Now, in our question, he fulfilled the covariation condition because the

result of the research is tied to the responses from the sample students.

However, she did not fulfill the temporal precedence because the cause of

their moods did not precede the effects in his research.

Also, she did not fulfill the condition of control of extraneous variables

because other factors outside of the research itself may have affected their

moods.

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33 is the counterexample of the conditional statement "If a number is divisible by 5, then it is an even number."

A counterexample is an example that disproves a conditional statement. In this case, we are looking for a number that is divisible by 5 but is not an even number.

Out of the given options, the number 33 is a counterexample to the statement. Let's examine why:

The statement claims that if a number is divisible by 5, then it is an even number.

However, 33 is divisible by 5 (33 ÷ 5 = 6 remainder 3), but it is not an even number.

In fact, 33 is an odd number.

This counterexample disproves the original statement because it shows that there exists a number (33) that is divisible by 5 but is not an even number.

Therefore, 33 is the counterexample of the conditional statement "If a number is divisible by 5, then it is an even number."

Note: The other options (18, 20, and 35) do not serve as counterexamples because 18 and 20 are both divisible by 5 and are even numbers, and 35 is not divisible by 5.

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The problem involves the multiplication of the expression 2dsveta + 4dtdxх. The given expression is not clear and contains some typos, making it difficult to provide a precise interpretation and solution.

The given expression 2dsveta + 4dtdxх seems to involve variables such as d, s, v, e, t, a, x, and h. However, the specific meaning and relationship between these variables are not clear. Additionally, there are inconsistencies and typos in the expression, which further complicate the interpretation.

To provide a meaningful solution, it would be necessary to clarify the intended meaning of the expression and resolve any typos or errors. Once the expression is accurately defined, we can proceed to evaluate or simplify it accordingly.

However, based on the current form of the expression, it is not possible to generate a coherent and meaningful answer without additional information and clarification.

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The correct option is c.Keep going.

Create a regression model and be able to optimize it, it is much better that all factors are on a scale. The answer is option c.Keep going.Regression analysis is an important statistical method that is commonly used in finance and other fields for prediction purposes. It is useful for finding the relationships between one dependent variable and one or more independent variables. In order to create an efficient regression model, the variables should be measured on a scale. Therefore, it is important to measure variables on a scale, as this makes it easier to create a regression model. If variables are categorical or binary, it becomes difficult to measure their relationship with the dependent variable using regression models as they are not measurable on a scale. This is why it is much better that all factors are on a scale while creating a regression model and optimizing it. Thus, the correct option is c.Keep going.

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