Can anybody help me out on question 8 please , I would really appreciate it so much. Please and thank you

Answer:

cos A = 45

Step-by-step explanation:

90 - sin A = 45 = cos A

90 Minus whatever the cos value for the angle is = the sin and vice versa.

Answer:

108°

Step-by-step explanation:

The period of the function is 48 minutes if the periodic function goes through 5 complete cycles in 4 min.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

A periodic function goes through 5 complete cycles in 4 min

From the question:

f = 5/4 cycles per minutes

f = 5/240 cycles per seconds  [1 minutes = 60 seconds]

f = 1/48

Period = 1/f

Period = 48 minutes

Thus, the period of the function is 48 minutes if the periodic function goes through 5 complete cycles in 4 min.

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The period of the given periodic function is 48 sec.

A periodic function is a function which returns same values at regular intervals. Let f be a periodic function then  

f( x +P ) = f(x) , for every x in the domain of f and P is some non zero constant

P is the regular interval or period after which a periodic function returns same values.

P=\(\frac{1}{f}\)

where \(f\) is the frequency of the periodic function

or \(f\) = no of cycles per unit time

Given that a periodic function goes through 5 cycles in 4 min

therefore frequency for this periodic function , f  is given by

\(f=\frac{5}{4}\) cycles per min

or

\(f=\frac{5}{4*60} \\f=\frac{5}{240} \\\)

\(f=\frac{1}{48}\)   cycles per sec

Thus,

Period of the given periodic function , P =\(\frac{1}{f}=1/\frac{1}{48}=48\) sec

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In mathematics, the place value chart is a tool that helps students understand the value of digits in a number. It is a visual representation of how digits are grouped and arranged to represent numbers. The place value chart is arranged in columns, with each column representing a different place value.

The place value chart starts with the ones place, also called units place. This is the rightmost column and it represents the ones digit in a number. The next column is the tens place, which represents the tens digit in a number. The hundredth place represents the hundreds digit and so on. Each column is ten times larger than the previous one.

A place value chart can be used to understand the value of a digit in a number.

Place value chart also helps to understand decimal numbers, which are numbers that have a decimal point. The decimal point separates the whole numbers from the fractional numbers. Each place to the right of the decimal point represents a smaller value.

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Answer:

12 is the answer 12×3=36

A

IM BEST EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answer:

3.75

Step-by-step explanation:

just add 5 cent for each extra pop

Answer:

y = \(\frac{1}{3}\) x + 8

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 2 ← is in slope- intercept form

with slope m = - 3

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-3}\) = \(\frac{1}{3}\)

the line crosses the y- axis at (0, 8 ) ⇒ c = 8

y = \(\frac{1}{3}\) x + 8 ← equation of perpendicular line

The quadratic regression equation for the data-set in this problem is given as follows:

y = 0.96x² - 5.77x + 1.38.

Regression equations are obtained inserting the points of a data-set into a calculator.

In this problem, we want to find the quadratic regression equation, hence a quadratic regression calculator is used.

The points are given as follows:

(-1,8), (5,-4), (7,8), (2,-6).

Inserting these points into a calculator, the regression equation is given as follows:

y = 0.96x² - 5.77x + 1.38.

Meaning that the second option is the correct option.

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A 25-meter-long towing vessel is pulling barges forward. The ship is required to display a minimum of two white masthead lights at night.

A commercial vessel that is pulling, pushing, hauling aboard, or any mixture of pulling, pressing, or hauling alongside, is referred to as a towing vessel.

Thus, a 25-meter-long towing vessel is pulling barges forward. The ship is required to display a minimum of two white masthead lights at night.

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Answer:

Step-by-step explanation:

Simplify:

Option B or second option is correct

Note. there is typo both in the question and the answer options

2x³ + 17x² - 5

Hi there !

6x³ + 5x² + 3 – 4 (x³ – 3x² + 2) =

= 6x³ + 5x² + 3 - 4x³ + 12x² - 8

= 6x³ - 4x³ + 5x² + 12x² + 3 - 8

= 2x³ + 17x² - 5

Good luck !

The provided linear programming problem involves multiple steps and explanations, making it challenging to provide a short answer while maintaining validity and clarity.

(i) To draw the constraints, we have:

Constraint 1: 21 ≤ 10

This is a horizontal line at y = 21.

Constraint 2: 126x1 + x2 = 12

This is a straight line with a slope of -126 passing through the point (0, 12).

Constraint 3: r1 ≤ 20

This is a vertical line at x = 20.

Constraint 4: r2 ≥ 20

This is a vertical line at x = 22.

The feasible solutions are the region where all the constraints intersect.

(ii) To rewrite the problem in canonical form, we need to convert the inequalities to equations. We introduce slack variables s1 and s2:

21 - 10 ≤ 0 (constraint 1)

126x1 + x2 + s1 = 12 (constraint 2)

x1 - 20 + s2 = 0 (constraint 3)

-x1 + 22 + s3 = 0 (constraint 4)

The objective function remains the same: minimize 81 + 6x2.

(iii) To check if x1 = x2 = 0 is a feasible solution, we substitute the values into the constraints:

21 - 10 ≤ 0 (True)

126(0) + (0) + s1 = 12 (s1 = 12)

(0) - 20 + s2 = 0 (s2 = 20)

-(0) + 22 + s3 = 0 (s3 = -22)

Since all the slack variables are positive or zero, x1 = x2 = 0 is a feasible solution.

(iv) To construct a simplex tableau, we write the canonical form equations and objective function in matrix form. We then perform the simplex method to find the optimal solution.

(v) To write out the dual linear programming problem, we flip the inequalities and variables. The dual problem's canonical form will have the same constraints but with a new objective function. We can use the solution from (iv) to determine an optimal solution to the dual problem.

(vi) After solving both the original and dual problems, we can compare the values of the objective functions to check if they are identical, confirming the duality property.

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Answer:

C.9

Step-by-step explanation:

The simplified base for the function given is 9.

A function in math is a rule or expression that defines a relationship between one variable (the input or independent variable) and another variable (the output or dependent variable). A function assigns to each input exactly one output.

Given that, a function f(x) = 2(∛27)²ˣ, we need to find its simplest base,

So,

f(x) = 2(∛27)²ˣ

= 2(3)²ˣ [∵ 3³ = 27, ∴ ∛27 = 3]

= 2(3²)ˣ

= 2(9)ˣ

Hence, the simplified base for the function given is 9.

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The least accurate measurement among the options provided is 18050 m.Therefore, among the given options, 18050 m is the least accurate measurement due to its higher number of significant figures.

To determine the least accurate measurement, we need to consider the number of significant figures in each measurement. The measurement with the fewest significant figures indicates lower accuracy.

Among the options given:

a. 208 m has three significant figures.

b. 18050 m has five significant figures.

c. 0.08 m has two significant figures.

d. 0.750 m has three significant figures.

e. 12.0 m has three significant figures.

The measurement with the least accurate value is 18050 m because it has the highest number of significant figures among the options. A higher number of significant figures suggests a greater level of precision and accuracy in the measurement.

Significant figures represent the digits in a number that contribute to its precision. They include all the non-zero digits and any zeros that appear between non-zero digits or after a decimal point. In this case, the measurement 18050 m has five significant figures, indicating a high level of precision and accuracy.

On the other hand, measurements with fewer significant figures imply less precision and accuracy. For example, the measurement 0.08 m has only two significant figures, suggesting less certainty in the measurement compared to 18050 m.

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Answer:

the new monthly salary after both increase is 1,788.37

Step-by-step explanation:

The monthly salary is 1,622.31

There is an increase of 3.8%

So, the salary after first increase is

= 1,622.31 × (1 + 3.8%)

= 1,683.96

Now there is a second increase of 6.2%, so the salary after second increase is

= 1,683.96 × (1 + 6.2%)

= 1,788.37

Hence, the new monthly salary after both increase is 1,788.37

Answer:

-2x-2

For a line equation for the form of y = mx +b, the slope is m

m= -2

The function has no undefined points nor domain

constraints. There fore, the domain is

domain: -∞<x<∞

The range of polynomial with odd degrees is all the real numbers

range: -∞<f(x)<∞

Step-by-step explanation:

graph is inserted

Answer:

-10* F

Step-by-step explanation:

What confuses me is that the answers you have provided aren't correct, when I made a number line starting at 0 and ending at -23* F and I had counted three degrees for each hour I got -10* F.

   2am     3am      4am       5am

0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23

2am is at -1* F, 3am is at -4* F, 4am is at -7* F, and 5am is at -10* F.

This is over the course of three hours after 2am so unless I got this wrong you might want to ask your teacher.

Answer: -10 degrees

None of those 4 choices are correct

The best evidence to show which class has had greater success on field day over the last 10 years based on the data in the box plots would be Mrs. cai's class was more successful because her interquartile range was less spread out.

To determine this

The interquartile range (IQR) is a measure of the spread of the middle 50% of the data. A smaller IQR indicates that the data is more concentrated or less spread out, while a larger IQR indicates that the data is more spread out. If Mrs Cai's class has a smaller IQR, it suggests that the scores for that class are more consistent and less variable compared to the scores for Mr Roland's class. This could be a good indication that Mrs Cai's class has had greater success on field day over the last 10 years.

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The probability that a white ball was selected from the box with initially a white balls given that a white ball was selected from the box with a new ball is (a+1)/(a+b+3).

Let's define the events:

- Event A: the white ball was selected from the box with initially a white balls

- Event B: a white ball was selected from the box with a new ball

We want to find the probability of Event A given that Event B has occurred, which can be denoted as P(A|B).

We can use Bayes' theorem to calculate this probability:

P(A|B) = P(B|A) * P(A) / P(B)

where P(B|A) is the probability of selecting a white ball from the box with a new ball given that the ball added to the box was white, P(A) is the prior probability of selecting a ball from the box with initially a white balls, and P(B) is the probability of selecting a white ball from either box.

Since a ball was added to the box with initially a white balls, there are now a+1 white balls and b black balls in that box, and there are b+1 white balls and a black balls in the other box. Therefore, the probability of selecting a white ball from the box with a new ball given that the ball added to the box was white is (a+1)/(2a+2+b+1) = (a+1)/(a+b+2).

The prior probability of selecting a ball from the box with initially a white balls is 1/2, since we are equally likely to select from either box.

The probability of selecting a white ball from either box can be calculated using the law of total probability:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

where P(not A) = 1 - P(A) is the probability of selecting from the box with initially a black balls.

P(B|not A) is the probability of selecting a white ball from the box with a new ball given that the ball added to the box was black, which is (b+1)/(2a+2+b+1) = (b+1)/(a+b+2).

Therefore,

P(B) = (a+1)/(2a+2+b+2) * 1/2 + (b+1)/(2a+2+b+2) * 1/2 = (a+b+2)/(2a+2+b+2) = (a+b+2)/(2(a+b)+4)

Now we can substitute these values into Bayes' theorem:

P(A|B) = (a+1)/(a+b+2) * 1/2 / ((a+1)/(a+b+2) * 1/2 + (b+1)/(a+b+2) * 1/2)

Simplifying this expression gives:

P(A|B) = (a+1)/(a+b+3)

Therefore, the probability that the white ball was selected from the box with initially a white balls given that a white ball was selected from the box with a new ball is (a+1)/(a+b+3).

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Answer: 4.2+(−1.2)+(−2.3) = 0.7

The correct option is "n < –3 or n > –2".

What is Inequality.?

Inequality refers to a mathematical statement that expresses a relationship between two values, indicating that one value is greater than, less than, or not equal to the other. Inequality symbols, such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to), are used to represent these relationships.

The statement "-3 > n > -2" is not valid because it states that -3 is greater than n, and at the same time, n is greater than -2, which is not possible.

The statement "2 < n < 3" is also not valid because it states that 2 is less than n, and at the same time, n is less than 3. However, since we are given that -3 > n > -2, which means that n is a value between -3 and -2, it is not possible for n to be greater than 2 or less than 3.

The correct option is "n < –3 or n > –2". This statement encompasses the given range of values for n, which is between -3 and -2. It means that n can be any value less than -3 or any value greater than -2 to satisfy the given condition.

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Complete Question -

Consider the inequality statements: –3 > n > –2 2 < n < 3 n < –3 or n > –2 n < 2 or n > 3 and Determine the values of n that satisfy each of these inequality statements individually.

The answer to the question is "a. Qualitative-Nominal". The musical instrument played by a music student is a nominal type of data. Nominal data is used to label variables without providing any quantitative value, thus the name.

The musical instrument played by a music student is a nominal type of data. Nominal data is used to label variables without providing any quantitative value, thus the name. Nominal data is different from ordinal data and quantitative data in that nominal data does not have a quantitative value or order. The term nominal comes from the Latin word nomen which means name. It is used to categorize and differentiate between different things, but it does not provide any quantitative value. The answer to the question is "a. Qualitative-Nominal". Musical instruments are not measured or counted. Instead, they are simply identified by their name. As a result, they are nominal data types. An instrument can be any object that is used to create music. A musical instrument is a type of instrument that is used to create sound, usually by manipulating strings, blowing air, or striking an object. These instruments include pianos, guitars, violins, drums, and so on. To conclude, the musical instrument played by a music student is nominal data. Nominal data is used to label variables without providing any quantitative value.

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The factored form of 9a² - b² - 4c² + 4bc is

(3a + b - 2c) (3a - b + 2c)

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,

9a² - b² - 4c² + 4bc

9a² - (b² + 4c² - 4bc)

Now,

(b² + 4c² - 4bc)

This can be written as,

= (b² - 4bc + 4c²)

= (b - 2c)²

Now,

9a² - (b - 2c)²

(3a)² - (b - 2c)²

This is in the form of a² - b².

a² - b² = (a + b) (a - b)

So,

(3a + b - 2c) (3a - b + 2c)

Thus,

(3a + b - 2c) (3a - b + 2c) is the factored form.

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Hope you could understand.

If you have any query, feel free to ask.

Answer:

To find GCF we need to find what these expressions have in common

30x²=5*3*2x²

45x⁵=5*3*3x²x³

Now we can see, that GCF=5*3*x² = 15x²

Answer :

15x²

Step-by-step explanation:

\(30x^{2}=2\times \left( 15x^{2}\right) \\45x^{5}=3x^{3}\times \left( 15x^{2}\right)\)

Then the greatest common factor is 15x²

An expression is defined as a set of numbers, variables, and mathematical operations. The given statement "s decreased by the quotient of r and t" can be expressed in the form of an expression as s - (r/t).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given statement "s decreased by the quotient of r and t" can be expressed in the form of an expression as,

s - (r/t)

Hence, The given statement "s decreased by the quotient of r and t" can be expressed in the form of an expression as s - (r/t).

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Required value of g'(3) is (-1/4).

We can start by using the formula for the derivative of the inverse function:

\((g⁻¹)'(x) = 1 / f'(g⁻¹(x))\)

We want to find \(g'(3)\), which is the derivative of g at \(x = 3\).

Since \(g(x) = f⁻¹(x)\), we have

\(g(15) = 3 \: and \: g(3) = 6\)

Therefore, we can find \(g⁻¹(3) = 6 \: and \: g⁻¹(15) = 3.\)

Now we can use the formula above with

\(x = 3 \: and \: g⁻¹(x) = 6\):\((g⁻¹)'(3) = 1 / f'(g⁻¹(3)) = 1 / f'(6)\)

To find f'(6), we can use the given information:

\(f'(3) = -8 \: and \: f'(6) = -2\)

We can use these values to estimate the average rate of change of f between \(x = 3 \: and \: x = 6:\) average rate of change of \(f = (f(6) - f(3)) / (6 - 3) = (3 - 15) / 3 = -4\)

Since f is differentiable, the instantaneous rate of change (i.e., the derivative) must be close to this average rate of change near x = 6. Therefore, we can estimate that f'(6) ≈ -4.

Using this estimate, we can find g'(3):

(g⁻¹)'(3) = 1 / f'(6) ≈ -1/4

Therefore, the value of g'(3) ≈ -1/4.

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Answer:

[0, ∞)

(all real numbers greater than or equal to 0)

Explanation:

the domain of a function is all possible x-values (and the range is all possible y-values)

We know that you cannot have a negative square root, so all negative x-values are not possible--only values 0 to infinity.

So the domain of this function is [0, ∞).

{ [brackets] in math mean the number is included, (parentheses) in math means the number is not included.}

All [real] numbers ≥ 0

is the domain of y=√x

(written as: all real numbers greater than or equal to 0)

Answer:

\( \: \)

Step-by-step explanation:

Let us assume A, B, C and D are the four angles of the parallelogram. Where, ∠A = 20° and we have to find the measure of ∠B, ∠C and ∠D

So, If ∠A = 20°, then So, also ∠C = 20°.

Therefore,

⠀

And, ∠A and ∠B are adjacent angles. We know,

So,

⇒ ∠A + ∠B = 180°

⇒ 20° + ∠B = 180°

⇒ ∠B = 180° – 20°

⇒ ∠B = 160°

So,

⠀

So, If ∠B = 160°, then So, also ∠D = 160°.

Therefore,