Find the exact values of the 5 remaining trig functions for B.

After solving the given expression the values for x will be equal to x = 1 and x = 13.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given information in the question,

The given equation is,

(x - 7)² = 36

x - 7 = √36

x = ±6

Then the values for x will be,

x1 = 6 + 7 = 17

x2 = -6 + 7 = -1

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Answer:

B

y int is 1, so we know it is +1

Slope is -2/3 :)

Sue Smith can calculate confidence limits for sampling error by using a confidence interval. a confidence interval is a range of values that is likely to contain the true population parameter.

The confidence interval is calculated from the sample data and the confidence level. The confidence level is the probability that the true population parameter is within the confidence interval.

For example, if Sue Smith wants to calculate a 95% confidence interval for the mean age of homemakers in the midwestern United States,

she would need to collect a sample of homemakers and calculate the sample mean. She would then use the sample mean and the confidence level to calculate the confidence interval.

The confidence interval would be a range of values that is likely to contain the true mean age of homemakers in the midwestern United States. For example, the confidence interval might be 35 to 45 years old.

This means that there is a 95% probability that the true mean age of homemakers in the midwestern United States is between 35 and 45 years old.

Sue Smith can use the confidence interval to calculate the sampling error. The sampling error is the difference between the sample mean and the true population mean.

The sampling error can be calculated by subtracting the sample mean from the confidence interval. For example, if the confidence interval is 35 to 45 years old and the sample mean is 40 years old, the sampling error is 5 years.

The sampling error is important because it tells Sue Smith how accurate her estimate of the true population mean is. The smaller the sampling error, the more accurate the estimate.

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Answer:

y=-3x+50

Step-by-step explanation:

y=50-3x ,where x is number of days.

False, one of the most pieces of information with a var is whether each estimated coefficient for the lags is statistically significant (t-tests)

A statistical test called a t-test is employed to compare the means of two groups. It is frequently employed in hypothesis testing to establish whether a procedure or treatment truly affects the population of interest or whether two groups differ from one another.

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Answer:

Step-by-step explanation:

We are expected to solve for Bob's speed

Given data

distance covered = 1.5 mile

time taken = 20 minutes to hours = 0.33hours

We know that the expression for speed is given by

speed= distance covered/time taken

substituting our given values we have

speed= 1.5/0.33

speed=4.5 mph

So Bob's speed is 4.5 miles per hour

Answer:

Step-by-step explanation:

find the gradient ( M)

M = y2- y1 ÷ x2-x1

M= -3 - (-1)÷(-5)-3 = ¼

find C in the equation (y=mx+c)

(use in y and x values provided)

now replace the values you find in the equation (y=Mx+C)

final answer is

y = ¼x + (-7/4) is the standard form for the line that passes through (3, −1) and (−5, −3)

y=mx=c is the slope intercept form of a line, m is the slope.

We need to find equation of line passing through (3, −1) and (−5, −3)

First we need to calculate slope 'm'.

slope m = y2- y1 / x2-x1

y2=-3, y1=-1, x2=-5, x1=3

m= -3 - (-1)/(-5)-3 = -2/-8=1/4

Equation of line, y=mx+c

find C in the equation (y=mx+c)

C = y-mx

C = -1-1/4(3)= -7/4

now replace the values you find in the equation (y=Mx+C)

y =1/4x-7/4

Hence y =1/4x-7/4 is the equation of line  passes through (3, −1) and (−5, −3).

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The degree of a polynomial is the highest exponent of its variable. When multiplying monomials and binomials, we add the exponents of the variables to get the degree of the resulting polynomial.

However, the degree of the product can be different from the degree of the factors because of the distributive property of multiplication.

When we multiply a monomial by a binomial, we need to distribute the monomial to each term of the binomial. This results in new terms that may have different degrees than the original terms. For example, when multiplying the monomial x^2 by the binomial (2x + 3), we get:

x²(2x + 3) = 2x³ + 3x²

The degree of the monomial x² is 2, and the degree of the binomial (2x + 3) is 1. However, the degree of the resulting polynomial 2x³ + 3x² is 3 because the term 2x³ has a higher degree than any of the original terms.

Similarly, when we multiply two binomials, we need to distribute each term of one binomial to each term of the other binomial. This can also result in new terms with different degrees than the original terms.

Therefore, the degree of the product can be different from the degree of the factors when multiplying monomials and binomials because of the distributive property of multiplication.

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The type of function that best models the data in the table is the quadratic function

The table of values is represented as:

x: 4 6 8 10 12

y : 118 142 150 142 118

From the above table, we can see that:

This is only possible in a quadratic function

Hence, the type of function that best models the data in the table is the quadratic function

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Answer:

Multiply $78 * 0.065 which equals = 5.07

So $78 + 5.07 equals 83.07

Step-by-step explanation:

The angles and length of the right triangle are as follows:

WX = 10√141 units

m∠X  = 30°

m∠V = 60°

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a right angle triangle is 180 degrees.

Trigonometric ratios can be used to find the side and angles of the right triangle as follows;

Therefore,

Using Pythagoras's theorem,

WX² = (20√47)² - (10√47)²

WX² = 400(47) - 100(47)

WX² = 18800 - 4700

WX = √14100

WX = 10√141

Let's find the angles

sin m∠X  = opposite / hypotenuse

sin m∠X  = 10√47 / 20√47

sin m∠X  = 1 / 2

m∠X  = sin⁻¹ 0.5

m∠X  = 30 degrees

Therefore,

m∠V = 180 - 90 - 30

m∠V = 60 degrees

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The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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Answer:

e

Step-by-step explanation:

Answer:

Step-by-step explanation:

We know slope is -1/5 and contains these points (0,-2)

y=-1/5x+b

Plug in x and y with those given points.

-2=-1/5(0)+b

-2=0+b

-2=b

y=-1/5x-2

No my brain hurts from looking at that, maybe tomorrow...

The function that represents the equation in table A is: f(x) = 6x + 15

The function that represents the equation in table B is: g(x) = -2x + 7

The formula to find the linear equation between two coordinates is expressed by the formula:

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)

For table A, we are going to use two coordinates namely:

(0, 15) and (1, 21) and we have:

(y - 15)/(x - 0) = (21 - 15)/(1 - 0)

(y - 15)/x = 6

y - 15 = 6x

y = 6x + 15

For table B, we are going to use two coordinates namely:

(0, 7) and (1, 5)

Thus:

(y - 7)/(x - 0) = (5 - 7)/(1 - 0)

y - 7 = -2x

y = -2x + 7

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Answer:

48

Step-by-step explanation:

Answer:

Finally, if 12n = -6, then n = -0.5

Step-by-step explanation:

If we have the following equation:

12n = -6

We can solve for n, dividing by 12 on both sides of the equation as:

\(\frac{12n}{12}=\frac{-6}{12}\)

Then, taking into account that  \(\frac{12}{12}\) is equal to 1 and \(\frac{-6}{12}\) is equal to -0.5, we can write the equation as:

\(\frac{12n}{12}=\frac{-6}{12}\\1n = -0.5\\n=-0.5\)

Finally, if 12n = -6, then n = -0.5

Answer:

\(\large\boxed{\tt Area = 20.25 \pi \ ft^{2}}\)

Step-by-step explanation:

\(\textsf{We are asked for the area of a circle.}\)

\(\textsf{Note that we are given only the circumference of the circle, which means that we}\)

\(\textsf{have to find more information from only the Circumference, which is possible.}\)

\(\large\underline{\textsf{What is Circumference?}}\)

\(\textsf{Circumference is considered the perimeter of the circle. Because a Circle has arcs}\)

\(\textsf{instead of sides, the Circumference is the sum of all the arcs' lengths.}\)

\(\underline{\textsf{How are we able to find the Circumference?}}\)

\(\textsf{The Circumference is measured by using the radius, or diameter of a circle, then}\)

\(\textsf{multiplying such by pi. Mathematicians discovered that Pi is always the measure}\)

\(\textsf{of the arcs when Diameter is used. Pi is an irrational number mainly used for circles.}\)

\(\underline{\textsf{Formulas for Circumference;}}\)

\(\tt C = (Diameter) \times \pi\)

\(\tt C = 2(Radius) \times \pi\)

\(\textsf{*The Radius is multiplied by 2 to equal the length of the Diameter.}\)

\(\textsf{Our goal is to find the Radius of the circle, let's use the formula including the Radius.}\)

\(\large\underline{\textsf{Solving for the Radius;}}\)

\(\tt 9 \pi = 2(Radius) \pi\)

\(\textsf{Let's start by using the Division Property of Equality for pi.}\)

\(\tt \frac{9 \pi}{\pi} = \frac{2(Radius) \pi}{\pi}\)

\(\tt 9 = 2(Radius)\)

\(\textsf{Use the Division Property of Equality again to find the Radius.}\)

\(\tt \frac{9}{2} = \frac{2 (Radius)}{2}\)

\(\large\boxed{\tt Radius = 4.5 ft.}\)

\(\textsf{Now that we have the Radius, we are able to find the area of the circle.}\)

\(\large\underline{\textsf{What is Area?}}\)

\(\textsf{Area is the space that the surface of a shape occupies.}\)

\(\underline{\textsf{How are we able to find the area of a circle?}}\)

\(\textsf{Of course, Pi is incl\textsf{u}ded to find the area of a circle as well. As mentioned before,}\)

\(\textsf{we found the Radius with the Circumference in order to find the Area. The Radius}\)

\(\textsf{is squared, then multiplied by Pi to equal the area.}\)

\(\underline{\textsf{Formula for Area;}}\)

\(\tt Area = \pi(Radius)^{2}\)

\(\textsf{We know the Radius, hence we may begin solving for the Area.}\)

\(\large\underline{\textsf{Solving for the Area;}}\)

\(\tt Area = \pi(4.5)^{2}\)

\(\textsf{Let's follow the rule of Operations, where we should evaluate the exponents first.}\)

\(\tt 4.5 \times 4.5 = 20.25.\)

\(\large\underline{\textsf{Hence;}}\)

\(\large\boxed{\tt Area = 20.25 \pi \ ft^{2}}\)

To find the percentage, we can use the following formula:

Percentage = (Part / Whole) * 100

So, $131,701.32 is approximately 16.67% of $790,207.91.

In this case, the part is $131,701.32 and the whole is $790,207.91.

Percentage = ($131,701.32 / $790,207.91) * 100

Calculating the value:

Percentage ≈ 0.1667 * 100

Percentage ≈ 16.67%

Therefore, $131,701.32 is approximately 16.67% of $790,207.91.

Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:

Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%

So, $131,701.32 is approximately 16.67% of $790,207.91.

If you have any further questions, feel free to ask!

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Answer:

Say you have to find two consecutive integers whose sum is 89. How do you go about this problem? You first take a variable, say x, the value of which is unknown to you. Next, you are supposed to take another number. Since the problem requires you to use two consecutive integers, the integer next to x will be (x + 1). Now as per the problem, the sum of x and (x+1) is 89. We represent this in the form of an equation: x + (x + 1) = 89. Solving this equation we get x as 44 and the next integer (x + 1) as 45, the sum of which is 89.

Step-by-step explanation:

Answer: 19/30, 20/30, 21/30, 22/30, 23/30.

The term "difference" relates to subtraction, thus since they are looking for an unknown number's "difference," we can utilize the variable "x." X-7

Subtraction is an operation to find the difference of two numbers; yet, the outcome of subtraction is a difference.

The greater-than sign is represented by the letter >. Therefore, 9>7 is understood to mean "9 is greater than 7." The sign for less than is. (greater than or equal to) and are two more comparison symbols (less than or equal to).

The larger than, less than, and equal to signs are referred to as our "at least" signs.

7 divided by a number equals x-7.

Four times is four or four.

At the very least = -52 = Response negative 52

Connect them all,

x-7(4)<-52

4(x - 7) ≥ -52

4x - 28 ≥ -52

4x ≥ -24

x ≥ -6.

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Answer:

Not sure but I think

Surface area = 46

Volume = 4 2/3

Answer:

Step-by-step explanation:

First look at the tangent function f(x) = tan x.  Its domain is restricted:  (-pi/2, pi/2).  There are no restrictions on the function value, so the range is (-infinity, +infinity).  The primary interval on which tan x is defined is (-pi/2, +pi/2, which has length pi.

In comparison, the domain of f(x) = tan 2x is only half as long as that of f(x) = tan x:  (-pi/4, +pi/4), with length pi/2.

Now, focusing on f(x) = 3cot(2x):  the range is the same:  (-infinity, +infinity).  The period is half that of tan x:  pi/2 instead of pi.  Remember that the cotangent function repeats itself every pi/2 radians.

Domain:  (-pi/4, +pi/4) (centered on the origin), (-3pi/4. 3pi/4), and so on, continuing to both the left and the right.

Range:  (-infinity, infinity)