For what values of θ is cosθ>−sinθ when π/2≤θ<3π/2

Answer:

100°

Step-by-step explanation:

m L 1 = (180-100) + 20 = 80+20 = 100°

Answer:

A = h b/2

Step-by-step explanation:

Answer:

J =6,L=5,K=3

Step-by-step explanation:

this is kinda hard to do bur I'll try to do it.

Answer:

A

Step-by-step explanation:

If the number of people in the theater must be under 240, then there must be less than 10 seats in each row on the floor to meet fire safety regulations.

if X=10 then, 15 times 10 plus 90 = 240.

Since the number of people must be under 240, there must be less than 10 seats in each row on the floor.

We are given a parallelogram.

Recall that the opposite sides are congruent (equal) in parallelogram.

So, we can

Answer:

6

Step-by-step explanation:

Answer:

=21x2−13x+8

Step-by-step explanation:

=3x(7x−4)+−1(x−8)

=3x(7x−4)+−1x+(−1)(−8)

=3x(7x−4)+−x+8

Distribute:

=(3x)(7x)+(3x)(−4)+−x+8

=21x2+−12x+−x+8

Combine Like Terms:

=21x2+−12x+−x+8

=(21x2)+(−12x+−x)+(8)

=21x2+−13x+8

Answer:

\(=21x^{2} -13x+8\)

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

4 is greater than 1

Answer:

True

Step-by-step explanation:

4 is greater than 1 so the statement is true.

<  this is a less than sign

>  this is a greater than sign

Hope this helps and pls do mark me brainliest if you can:)

Answer:

A) -1

Step-by-step explanation:

To solve this, simply plug in 2 for x.

f(x)= -3x+5

f(x)= -3(2)+5

Now solve the multiplication.

f(x)= -6+5

Now add

f(x)= -1

So the answer is -1

Answer:

f = -1/2

Step-by-step explanation:

plug in 2 for (x):

f(2)=[-3(2)+5]

Solve right side:

[-3*2=-6

-6+5 = -1] = -1

Solve for f:

f(2) = -1

/2 /2

f= -1/2

The percentage of people who filed their taxes during the week of tax day is 10%

I can estimate how many people filed their taxes during the week of April 15th using a percentage of 100 is a/b * 100.

A percentage is a portion of a sum divided into 100 equal parts.

Calculate (Number of persons who submitted their taxes during the week of April 15th / total people who filed their taxes that year) times 100 to get the percentage of people who filed during that week.

Let :

a represents the total number of taxpayers during the week of April 15th.

b represents the total number of taxpayers for that year.

The original equation is reduced to

a/b× 100

As an illustration, 100 individuals submitted their taxes the week of April 15th and

Let's say that year, 1000 persons filed their taxes.

= 100/1000 = 10%

Thus, 10% of Americans submitted their taxes during the week of April 15th, or 100 out of 1,000.

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Answer:

the cube has more volume

Step-by-step explanation:

cube- 7*7*7=343cm^3

cuboid- 7*4*8=224cm^3

Answer:

The cube

Step-by-step explanation:

The cuboid's volume is 224 cm

The cube's volume is 343 cm

Answer:

6.5

Step-by-step explanation:

y = 6.5x

Answer:

DE = 19.5

Step-by-step explanation:

the diagonals of a rectangle are congruent and bisect each other, then

EC = AE , that is

7x - 5 = 3x + 9 ( subtract 3x from both sides )

4x - 5 = 9 ( add 5 to both sides )

4x = 14 ( divide both sides by 4 )

x = 3.5

Then

AE = 3x + 9 = 3(3.5) + 9 = 10.5 + 9 = 19.5

Thus

DE = AE = 19.5

1. A proof is a step-by-step Argument/Explanation.

2. Informal proofs in this class are written in English language.

3. Formal proofs that we will soon learn are written in Fitch notation language.

4. Informal proofs should start with the word given and end with the word therefore.

1. A proof is used to show that a statement is true or that a given statement follows logically from given assumptions. A proof can be used to prove a theorem, corollary, or lemma, or to solve an equation.

2. Informal proofs in this class are written in English in order to make them easier to understand. The proof should explain the reasoning behind each step and provide clear evidence that the conclusion is valid.

3. Formal proofs that we will soon learn are written in Fitch notation language, which is a language used to represent logical proof structures. Fitch notation consists of lines of logical statements, linked together with arrows that indicate the structure of the proof.

4. Informal type of proof is often used in mathematics as it does not require a formal proof. It is used to explain why a certain statement is true. It usually involves making an assumption and then deriving a logical conclusion from that assumption.

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The complete question is:

1. A proof is a step-by-step ____________ . (Write one word; two possible correct answers.)

2. Informal proofs in this class are written in which language?

3. Formal proofs that we will soon learn are written in which language? _____________

4. Informal proofs should start with the word ______________ and end with the word _________________ .

E, "As I was saying, . . .". The salesperson should use this statement if they wished to ignore the objection.

Option E is the best choice to ignore the objection because it allows the salesperson to redirect the conversation back to their main point without directly addressing the objection. The statement implies that the objection is not important enough to interrupt the flow of the conversation.

Ignoring objections is not always the best approach in sales, but if the salesperson chooses to do so, they should use a statement like option E to redirect the conversation back to their main point.


When a salesperson wants to ignore an objection, they should choose a response that does not address the concern raised and instead redirects the conversation back to the topic they were discussing. Option e does this effectively by not acknowledging the objection and continuing with the original discussion.

To ignore an objection, a salesperson should use a statement like option e, which allows them to refocus the conversation without addressing the concern raised.

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Answer:

Step-by-step explanation:

yes,  as below

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

in the picture there is a Hyp and an Opp

so, use the function that has those  sin has those , huh

then,  

sin(Ф) = 12/13

Ф = arcSin(12/13)

Ф = 67.38 °

now we know that angle.. now we can get cos

cos(67.38 °) = adj / 13

13 * cos(67.38 °)  = adj

oh it's exactly

5 = adj

I feel like that's right since it worked out to be exactly 5  :)

Cos(Ф) = 5 / 13

there is  your answer :)

Answer:

H (Height) = 3

Step-by-step explanation:

We have the formula A = 1/2(a+b)h

Let's identify all variables

A = 24

a = 9

b = 7

h = ?

Lets plug all that in:

24 = 1/2(9+7)h

9+7 = 16

24 = 1/2(16)h

Half of 16 is 8 so to simplify the rest...

24 = 8h

To get h alone we will divide both sides of the equation by 8

24/8 = h

24/8 = 3

Making H = 3

Answer:

x = 13

Explanation

Answer:

d. x = 2

Step-by-step explanation:

5x + 2x > 5 + 9

7x>14

x>2

so answer must be x\(\leq\)2

//hope it helped and appreciate if marked me as brainliest//

Answer:

d. x = 2

Step-by-step explanation:

Just like how you solve an equation with an equal sign, similarly, you can solve this, but with the > [greater than] sign.

 5x - 9 > -2x + 5

Take the x terms to one side and the numerical terms to the other side.

 5x + 2x > 5 + 9

Simplify.

 7x > 14

Divide both sides by 7 in order to remove the 7 with the x term.

 \(\frac{7}{7}\) x > \(\frac{14}{7}\)

 ∴ x > 2

We now know that x is greater than 2, so any value greater than 2 would be the answer.

The last option, which is the d option, x = 2, would be the answer. This is because x is greater than 2, not greater than or equal to 2, thus giving the answer as d.

The solution for the system of equations is (-19,55).

As given the equations in the question

y = –3x – 2

Simplify the above

y + 3x = -2

5x + 2y = 15

Multiply y + 3x = -2 by 2 and subtracted from 5x + 2y = 15.

2y - 2y + 5x -6x = 15 + 4

-x = 19

x = -19

Putting the value of x in the equation y + 3x = -2.

y + 3 × - 19 = -2

y - 57 = -2

y = -2 + 57

y = 55

Therefore the solution for a system of equations is (-19,55).

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The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}

angle B = 68°

Given that the triangle ∆ABC is similar to the triangle ∆PQR.

(2). PQ/7.5cm = 12cm/18cm

PQ = (12cm × 7.5cm)/18cm {cross multiplication}

PQ = 5cm

(3). 13cm/BC = 12cm/18cm

BC = (13cm × 18cm)/12cm {cross multiplication}

BC = 19.5cm

(4). area of ∆PQR = 1/2 × 12cm × 5cm

area of ∆PQR = 6cm × 5cm

area of ∆PQR = 30cm²

Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

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Let:

T = total cost = $192.32

b = Base fee = $15.99

a = charge for each mile driven = 77cents = $0.77

x = Number of miles driven

So:

The logical expression that is equivalent to ¬∀x∃y(P(x)∧Q(x,y)) is ∀x∃y(¬P(x)∨¬Q(x,y)) i.e., the correct option is option D.

To determine the equivalent logical expression, we need to apply De Morgan's laws and quantifier negation rules.

Starting with the given expression ¬∀x∃y(P(x)∧Q(x,y)), let's break it down step by step:

Apply the negation of the universal quantifier (∀x) to get ∃x¬∃y(P(x)∧Q(x,y)).

This step changes the universal quantifier (∀x) to an existential quantifier (∃x) and negates the following expression.

Apply the negation of the existential quantifier (∃y) to get ∃x∀y¬(P(x)∧Q(x,y)).

This step changes the existential quantifier (∃y) to a universal quantifier (∀y) and negates the following expression.

Apply De Morgan's law to the negation of the conjunction (P(x)∧Q(x,y)) to get ∃x∀y(¬P(x)∨¬Q(x,y)).

This step distributes the negation inside the parentheses and changes the conjunction (∧) to a disjunction (∨).

Therefore, the equivalent logical expression is option D. ∀x∃y(¬P(x)∨¬Q(x,y)).

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By using the following steps, we can convert Hexadecimal to Binary or Decimal numbers.

Step 1: Take the hexadecimal number provided.

Step 2: Determine how many digits there are in the decimal.

Step 3: If there are n digits, multiply each one by \(16^{(n-1)}\), where n is the number of the digit and 16 resembles the value of Hexa.

Step 4: After multiplying, add the terms.

Step 5: The output is the decimal number that corresponds to the provided hexadecimal number. This decimal number must now be converted to a binary number.

Step 6: Divide the decimal number by 2.

Step 7: Take note of the rest.

Step 8: Repeat steps 2 and 3 for the quotient until it reaches zero.

Step 9: Reverse the order of the remainders.

Step 10: The necessary binary number is the result.

Therefore, we get  Hexadecimal to Binary or Decimal numbers

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Answer:

t = 6.29 years

Step-by-step explanation:

The general formula of an exponential function is

\(y=ab^x\), where a is the initial value (i.e., value of y when x = 0), b is the base, and x is the exponent.

We can express rabbit population as a function of time in years, which means in our formula, r is like y and t is like x:

\(r=ab^t\)

Because at time t = 0, the rabbit population is 20, we know that our a value for the equation is 20.

We can find b by simply plugging in 20 for a and any point for r and t like (1, 60):

\(60=20b^1\\3=b\)

Thus, the equation we will need to use to find the rabbit population is

\(r < 20(3)^t\)

It's helpful to use an inequality where the equation is greater than r since we want to know how many years it will take for the population to exceed 20000:

\(20000 < 20(3)^t\\\\1000 < 3^t\\\\log(1000) < log(3)^t\\\\log(1000) < t*log(3)\\\\log(1000)/log(3) < t\\\\6.287709823 < t\\6.29 < t\)

We can check our answer by plugging in 6.29 for t and check whether the answer we get is greater than 20000:

\(20000 < 20(3)^6^.^2^9\\20000 < 20*1002.519185\\20000 < 20050.38369\\20000 < 20050.38\)

Traits that are orthogonal to one another in the Wiggins Circumplex Model are not correlated in any way. The correct option is a)are not correlated

The Wiggins Circumplex Model is a way of understanding how emotions and personality traits interact. This model suggests that different traits are orthogonal to one another, meaning they are not correlated in any way. This means that a person can possess multiple traits without one influencing the other.

In the model, orthogonal traits have no correlation to one another. This means that having one trait does not necessarily mean that another trait is present. For example, someone who is outgoing may not necessarily be optimistic. Additionally, having one trait does not predict the presence of another. This means that having a trait does not necessarily mean that a person will have another trait as well.

On the other hand, a strong positive correlation exists between traits that are similar in nature. This means that having one trait is likely to lead to the presence of another. For example, a person who is outgoing is likely to also be optimistic. Additionally, having one trait can predict the presence of another.

Finally, a negative correlation exists between traits that are opposite in nature. This means that having one trait will likely lead to the absence of another. For example, a person who is outgoing is unlikely to be introverted. Additionally, having one trait can predict the absence of another.

In conclusion, traits that are orthogonal to one another in the Wiggins Circumplex Model are not correlated in any way. This means that having one trait does not necessarily lead to the presence or absence of another. A strong positive correlation exists between traits that are similar in nature, while a negative correlation exists between traits that are opposite in nature.

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The interval in which the function has positive average rate of change is x > √3

The function is given as

f(x) = x^3 - 9x

Differentiate the above function to determine the average rate of change

So, we have

f'(x) = 3x^2 - 9

Set the function to greater than 0

So, we have

3x^2 - 9 > 0

Add 9 to both sides

3x^2 > 9

Divide by 3

x^2 > 3

Take the square root of both sides

x > √3

Hence, the interval in which the function has positive average rate of change is x > √3

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The equation of the line is x = 5

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, let's find the slope and y-intercept

(5, 0)(5, - 2)

m = -2 - 0 / 5 - 5

m = -2 / 0

m = infinity

Hence,  It is a vertical line, since the x is the same for both of them, and it is equal to  both times.

Therefore, the equation of the line is x = 5

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There are two main subtypes of quantitative data, which are discrete data and continuous data. Each subtype has different techniques for analysis.

1. Discrete data: This type of data represents whole numbers or counts that can only take specific values. Examples include the number of students in a class or the number of cars in a parking lot. Techniques used to analyze discrete data include:
  a. Frequency distribution: A summary of the number of times each value appears in the dataset.

 b. Measures of central tendency: Calculating the mean, median, and mode of the dataset to understand its central point.

 c. Measures of dispersion: Assessing the range, variance, and standard deviation to understand the spread of the data.

2. Continuous data: This type of data represents measurements that can take any value within a range, such as height, weight, or temperature. Techniques used to analyze continuous data include:

 a. Histogram: A graphical representation of the distribution of the data, using bars to represent the frequency of values within specific intervals.

  b. Probability density function: A mathematical function that describes the probability of a continuous random variable falling within a specific range.

  c. Regression analysis: A statistical method for analyzing the relationship between a dependent variable and one or more independent variables.

Both discrete and continuous data can also be analyzed using inferential statistics, such as hypothesis testing and confidence intervals, to make inferences about a population based on a sample of the data.

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Yes, a p-value less than 0.05 typically leads to the rejection of the null hypothesis.

In hypothesis testing, the p-value represents the probability of obtaining the observed data or more extreme results, assuming that the null hypothesis is true. A p-value less than 0.05 indicates that the observed data is unlikely to occur by chance if the null hypothesis is true. Therefore, it provides evidence against the null hypothesis, and researchers often reject the null hypothesis in favor of an alternative hypothesis.

A p-value less than 0.05 is commonly used as a threshold for statistical significance. However, it is essential to consider other factors, such as the study design, sample size, and effect size, when interpreting the results. While a p-value less than 0.05 suggests evidence against the null hypothesis, it does not guarantee the presence of a meaningful or practically significant effect. It is crucial to evaluate the entire body of evidence and consider the context of the study when drawing conclusions.

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