I don't know if "Base Angles Theorem" is correct. PLEASE ANSWER QUICKLY!!! Thank you.

The values of the trigonometric functions sin(∅) and cos(∅) are -1/2 and [tex]\frac{\sqrt{3} }{2}[/tex] respectively.

The trigonometric functions and identities are the ratio of sides of a right-angled triangle. The sides of a right triangle are the perpendicular side, hypotenuse, and base, which are used to calculate the sine, cosine, tangent, secant, cosecant, and cotangent values using trigonometric formulae.

if ∅ = [tex]\frac{11\pi }{6}[/tex] rad converting to degree

we know that [tex]\pi[/tex] rad = 180°

which means  ∅ in degrees = 11/6 x 180 which is 330°

sin(330) = -1/2

cos(330) = [tex]\frac{\sqrt{3} }{2}[/tex]

In conclusion, the function values of the sin(∅) and cos(∅) are -1/2 and  [tex]\frac{\sqrt{3} }{2}[/tex]

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Answer:

400 square feet

Step-by-step explanation:

She may sell five of them each week for $21,000. She needs to ask for $20,000 for each unit if she wants to sell six. The marginal revenue of selling the sixth motor home is -$5000. Here option A is the correct answer.

If demand is price inelastic, then raising the price will decrease income. If price increases elastic, lowering the price will boost earnings.

Demand is considered to be elastic if an increase in price results in a loss in overall income because the quantity required is significantly impacted by the price rise. Depending on whether they are requirements or wants, the marketplace. in other words, may have varying elasticities (accessories).

Thus, a fall in revenue because of a rise in price

= (20,000 - $21,000) × (5)

= -$5000

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a) The 95% confidence interval estimate for the population mean spending by a customer on visiting salon per month is given as follows:

(747, 853).

b) The sampling error at the 95% confidence level is of: 35.8.

We have the standard deviation for the population is known, hence the z-distribution is used to calculate the confidence interval.

The equation that gives the bounds of the confidence interval is presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The remaining parameters are given as follows:

[tex]\overline{x} = 800, \sigma = 200, n = 55[/tex]

Then the lower bound of the interval is calculated as follows:

800 - 1.96 x 200/square root of 55 = 747.

The upper bound of the interval is calculated as follows:

800 + 1.96 x 200/square root of 55 = 853.

For a sample size of n = 120, the sampling error is obtained as follows:

Sampling error = 1.96 x 200/square root of 120 = 35.8.

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The statement that servers that exist within a data center that is publicly accessible on the internet are referred to as on-premises servers is False.

HTML5

HTML5 is a markup language used for structuring and presenting content on the World Wide Web. It is the fifth and final major HTML version that is a World Wide Web Consortium recommendation. The current specification is known as the HTML Living Standard.

On-premises servers

On-premises servers refer to the group of servers that are under the control of a private entity. This is not like the traditional cloud computing method where resources can be leased to third-party service providers.

The use of the term, on-premises refers to the local installation of these resources as against the cloud type where the resource is on the vendor's server and a client can reach the software via their internet browsers.

Hypertext Markup Language revision 5 (HTML5) is markup language for the structure and presentation of World Wide Web contents. HTML5 supports the traditional HTML and XHTML-style syntax and other new features in its markup, New APIs, XHTML and error handling.

The statement that servers that exist within a data center that is publicly accessible on the internet are referred to as on-premises servers is False.

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In the binomial expression (x + y)^10, the term that will appear in the expansion of expression is ax^3y^7.

Binomial expression refers to the algebraic expression which contains two terms. These expressions are expanded using binomial theorem. According to the theorem, it is possible to expand the binomial (x + y)^n into a sum involving terms of the form ax^by^c, where the exponents b and c are nonnegative integers with b + c = n, and the coefficient a of each term is a specific positive integer depending on n and b. Hence, for the given expression, the term which will appear in the expansion of binomial would have variables whose sum of power would be equal to the power of the expression i.e., the sum of the power would be 10. Hence, ax3y7 would appear in the expansion as the sum 3+7=10.

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the measure of the value a is 24°

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

The sum of all angles of triangle = 180

Here given 3 angles are 2a, 3a and a+36°

So the sum of all the angles should be 180°

⇒2a+ 3a +a+36° = 180

⇒6a = 180-36

⇒a = 144/6= 24

Hence the measure of the value a is 24°

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4.65 kg the mass of each item (assuming the bag's mass is negligible). (Sand density is 3.00 g/cm3, while the density of gold is 19.3 g/cm3)

Given that,

A gold statue that is perched on a pedestal with a weight-sensitive alarm is replaced by a thief using a bag of sand. The statue and the bag of sand have the exact same volume, 1.55 L.

We have to calculate the mass of each item (assuming the bag's mass is negligible). (Sand density is 3.00 g/cm3, while the density of gold is 19.3 g/cm3)

We know that,

Mass of gold = Volume × Density

= 1.55×1000 cc × 19.3

= 29915 grams

= 29.915 Kg

Mass of sand = 1.55×1000×3

= 4650g

= 4.65 Kg

Volume = 1.55 L

= 1.55 × 1000 cc

= 1550 cc

Mass = Volume × Density

Mass of gold = 1550 × 19.3

= 29915 grams

= 29.915 kg

Mass of sand = 1550 × 3

= 4650 grams

= 4.65 kg

Therefore, 4.65 kg the mass of each item (assuming the bag's mass is negligible). (Sand density is 3.00 g/cm3, while the density of gold is 19.3 g/cm3)

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After solving the given expression using exponents properties, the resultant answer is h²⁴.

Exponentiation is a mathematical process that involves the base b and the exponent or power n.

It is represented as bⁿ and is pronounced as "b to the n."

Positive, negative, zero, and rational exponents are the four different categories. Positive exponents indicate the number of times a base should be multiplied by itself.

So, we have:

(h¹²/h⁴)³

Now, solve as follows using properties:

(h¹²/h⁴)³

(h¹²)³/(h⁴)³

h³⁶/h¹²

h³⁶⁻¹²

h²⁴

Therefore, after solving the given expression using exponents properties, the resultant answer is h²⁴.

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The graph of the system of inequalities y ≤ –0.75x  , y ≤ 3x – 2 is attached.

Actual solution of the inequalities in the graph is shown by common shaded region of both the inequalities below A(-0.533 , 0.4 ).

As shown in the question,

Given system of inequalities  are :

y ≤ –0.75x

y ≤ 3x – 2

Graph of the inequalities is attached.

For first inequality :

y ≤ –0.75x

When x = 0

y ≤ 0

when y =0 ⇒ x ≤ 0

For second inequality :

y ≤ 3x – 2

x = 0⇒ y ≤ -2

when y =0 ⇒x ≥ 2/3

Actual solution by converting into equalities

y = -0.75x

Substitute in second equation

-0.75x = 3x -2

⇒ 3.75x =2

⇒ x= 0.5333

⇒ y= -0.4

Graph below ( 0.533 , -0.4 ) represents the actual  solution.

Therefore, the actual solution of the attached graph of the inequalities is region below ( 0.533 , -0.4 ) common shaded region.

The complete question is :

Consider the system of inequalities and its graph. y ≤ –0.75x , y ≤ 3x – 2 In which section of the graph does the actual solution to the system lie? 1 2 3 4.

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The circle equation in standard form is (X - 3)² + (Y - 1)² = 2²

How to change the circle equation into standard form?

We must transform the current polynomial to circle standard form:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

We will do so by completing the square, which produces a perfect square trinomial that can be factored into a square binomial in the form of the circle standard form.

According to the given question:

Equation of circle in polynomial form is X²+ Y²- 6X - 2Y + 6 = 0

Converting to standard form using completing the square method

X²+ Y²- 6X - 2Y + 6 = 0

(X² - 6X) + (Y² - 2Y) = -6

(X² - 6X + 9) + (Y² - 2Y + 1) = -6 + 9 + 1

(X - 3)² + (Y - 1)² = 4

(X - 3)² + (Y - 1)² = 2²

The circle is now in standard form.

Coordinates of the center (h,k) = (3, 1)

Coordinates of the vertices = (3, 1), (3, -6), (2, -4), (8, -1)

Domain = [2, 8]

Range = [-6, 1]

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Answer:

You can split the 36 into base 10 blocks and tell them 3 means three 10 blocks.

The given expression 9x(46+70)5 - 32(40-219) is equal to = 10948.

What is mathematical expression?

A mathematical sentence that contains at least one operation, numbers, and/or variables without the equal sign is known as a mathematical expression.

Expressions does not have equal sign as the equations have.

Considering the given question as:

9x(46+70)5 - 32(40-219) = ?

At first we will solve the expressions inside of the brackets:

= 9x(116)5 - 32(-179)

Now, ,we will solve the rest of the expressions

= 9x580 + 5728

= 5220 + 5728

= 10948

Therefore, the answer of the given question is 10948

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Answer: plants are same height in 30 days;  Plant A is tallest in 6 weeks

Step-by-step explanation:

x =  number of days

4 + (2/3)x = 9 + (1/2)x

(2/3)x - (1/2)x = 9 - 4

(1/6)x = 5

x = 30, number of days for Plant A and Plant B to be same height.

6 wks = 42 days

Plant A in 42 days:  4 + (2/3)(42) = 32 inches

Plant B in 42 days:  9 + (1/2)(42) = 30 inches

The value of [tex]sin^{-1}[/tex](- [tex]\frac{\sqrt{2} }{2}[/tex]) in radians is [tex]-\frac{\pi }{4}[/tex]

The value of  [tex]sin^{-1}[/tex](1) in radians is [tex]\frac{\pi }{2}[/tex]

The value of  [tex]sin^{-1}[/tex](- 1/2) is [tex]-\frac{\pi }{6}[/tex]

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

[tex]sin^{-1}[/tex](- [tex]\frac{\sqrt{2} }{2}[/tex])  is -45 in degress

but [tex]\pi[/tex] rad = 180°

so that - 45° in rad is [tex]\pi[/tex] x - 45/180 which is - [tex]\frac{\pi }{4}[/tex]

[tex]sin^{-1}[/tex](1)  = 90°

but [tex]\pi[/tex] rad = 180°

so that -90° in rad is [tex]\pi[/tex] x 90/180 which is  [tex]\frac{\pi }{2}[/tex]

[tex]sin^{-1}[/tex](- 1/2) = -30°

but [tex]\pi[/tex] rad = 180°

so that - 30° in rad is [tex]\pi[/tex] x - 30/180 which is - [tex]\frac{\pi }{6}[/tex]

In conclusion then values of the sine inverse of the functions are - [tex]\frac{\pi }{4}[/tex],  [tex]\frac{\pi }{2}[/tex], and - [tex]\frac{\pi }{6}[/tex]

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The possible domain of the convergence are b. (-1,3) and c. (-1,3]

Domain of convergence.

In statistics, domain of the convergence also known as interval of convergence means an interval associated with a given power series such that the series converges for all values of the variable inside the interval and diverges for all values outside it.

Given,

Here we need to identify in which of the options are domain of convergence.

As per the definition of domain of convergence, the interval of the convergence is (-∞ , ∞).

So, the possible convergence in the given options are (b) and (c).

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Answer:

The triangle was translated to the right by 4 points.

Step-by-step explanation:

If you look at the coordinates, the Y value does not change at all when comparing the original image to the translated image. Only the x value was translated. Since the problem told you it was a translation you can pick a point and subtract the value of the original image from the value of the translated image. If your answer to the subtraction problem is positive, the image moved to up or to the right (for the x-axis), if it is negative then your image moved down or to the left . Up and down is for translations along the Y-axis, and left and right are for translations along the X-axis. This works for both X and Y values. I know I just dumped a bunch of words on you, so to show you lets use points C and C'. C has an X value is 3 and C' has an X value of 7.

Subtract C (3) from C' (7) and that'll give you an answer of 4. Since the answer is positive it will move up or to the right. Since we used the X value, it moved to the right.

If you need a better explanation let me know and I'll try my best.

According to Ritchie et al., a typology is a set of ordered categories occurring at discrete positions along a continuum is a True statement. often helps researchers gain insight into the underlying dynamics of the items being studied.

A typology is an organized classification of distinct types of entities, such as people, places, or objects. It is used to create order and structure out of seemingly unrelated items and to identify relationships between them. According to Ritchie et al. (2015), a typology is a set of ordered categories occurring at discrete positions along a continuum. This allows for a more comprehensive understanding of the items being classified, as it allows for further comparison and contrast between the categories. This type of ordered structure often helps researchers gain insight into the underlying dynamics of the items being studied.

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The value of y is 4.

Generally, To find the value of y in the expression [0 (3z-9) (y-1)], we need to isolate y. To do this, we can start by combining like terms:

[-1(4x-2) -5] [-1 2 -5] [0 (3z-9) (y-1)] [0 3 2]

Becomes:

[-4x + 2 - 5] [0 3 2]

Then we can rearrange the terms to get:

[-4x - 5 + 2] [0 2 + 3]

This simplifies to:

[-4x - 3] [5]

Finally, we can isolate y by dividing both sides by 2:

[-4x - 3] / 2 = 5 / 2

This gives us:

y = (5/2) + 3/2

Simplifying, we find that y = 4.

Therefore, the value of y in the expression [0 (3z-9) (y-1)] is 4.

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The average rate of change of the temperature from 6 to 10 pm is given as -1.5. Option C is correct

From 6 pm to 10 pm we have a total of 4 hours that is in between this period of time.

From the table the temperature at 6 pm is 34, the temperature at 10 pm is 28 degrees

Such that we would have:

[tex]\frac{28-34}{4}[/tex]

= -6 / 4

= - 1.5

Hence we would have that Negative 1.5 degrees Fahrenheit degrees per hour; The temperature drops at an average rate of 1.5 degrees per hour from 6 PM to 10 PM.

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The additive inverse of 5 + i  is (-5) + (-1)

To get a result equal to 0, add the original number and the additive inverse by simply changing the sign of the integer. On the basis of negation of the original number, the characteristics of additive inverse are listed below. For instance, if x is the starting number, then -x is x's additive inverse.

Given:

5 + I

As, the additive inverse is the opposite sign of the given number.

For example, if the number is -6 and we have to find its additive inverse.

So, the additive inverse will be 6.

Similarly for 5 + i ;

the additive inverse is (-5) + (-1)

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Answer:

Below

Step-by-step explanation:

y =  100 - ( x-250)/20  *8      for every 20 above 250 eight fewer students from the 100 who would enroll at 250 level   ( this is for x >= 250...the question says nothing about enrollment change from lowering the price BELOW 250)

The probability that the randomly selected student  will chose running  can be written as  12/57.

The concept used is the probability which is the likelyhood of an event to take place.

Total number of students was given as  57

Total number of boys  that was given was  26

Total number of girls  can be written as 57-26=31`

Number of Girls that chose football  can be written as 15

Number of boys that chose football  can be wriitten as  9

Number of students that chose Tennis can be written as  18

Now, number of students that chose running will be;

Number of students that chose running = 57 - (24 + 18) = 15

Therefopre, probability that a randomly selected student chose running = 15/57

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Answer:To find the mean of the heights of the 17 students, we need to add up all of the heights and divide the sum by the number of students. The sum of the heights is 1777 cm, and when we divide this by 17, we get a mean height of 104 cm.

To find the median of the heights of the 17 students, we first need to put the heights in order from least to greatest. The heights in order are 101,102,106,109,110,110,112,115,115,115,115,115,117,120,120,123,125. There are 17 students, so the median is the height of the 9th student, which is 115 cm.

Step-by-step explanation:

The probability is 0.8427.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.

Here we are total number of insurance agents = 89

And  number of insurance agents do own a handgun = 75

So we asked probability that a insurance agent will own a handgun  

Probability = no.of insurance agents/no.of insurance agents who owns a handgun

Probability = 75/89 = 0.8427

The probability that the agent will own a handgun is .84

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The value of n in the equation, 3n - 8 = 32 - n will be 10. The value is obtained by rearranging the equation and adding the like term.

the equation is :-

3n-8=32-n

take all the values of n one side-

3n+n = 32+8

4n = 40

n = 40/4

n = 10

so the value of the n in the equation is 10.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

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The students should draw the conclusion that the data might have been caused by the genetic connection if the null hypothesis is rejected.

Given information;

The students determine a crucial value of 7.82 and compare it to a chi-squared value of 92.86.

Which of the following results in the chi-square goodness-of-fit test being most complete?

The null hypothesis can be rejected, and the students should conclude that the data may have resulted from the genetic linkage.

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Answer: -6

Step-by-step explanation:

(0,y)

at y intercept, x is 0. therefore sub x with 0 and solve

y= 3(0)-12/0+2

= -12/2

=-6

The statement If B ⊂ A, then A U B = A is true.

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

If BCA, then AUB=A.

When the above statement is represented properly, we have the following representation

If B ⊂ A, then A U B = A

The statement If B ⊂ A means that

The set B is a subset of the set A

In other words, the whole of set B is in set A

If this is true, then the union of both sets represented by A U B is set A

Hence, it is true that If B ⊂ A, then A U B = A

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