15. Show that the following equation is not an identity by finding a value of x for which both sides are defined but not equal. cos(x + 7) = cos x OA. 0 O B.-7/2 O C. π/2 O D. 3TT/2

Answer:

answer 34

Step-by-step explanation:

16.5x(60÷10)=99

99-65=34. hour= 60 minutes

so the result is 34 mph

In determining whether a process is in statistical control, the R-chart should be analyzed first.

Given that, in determining whether a process is in statistical control, the _____ should be analyzed first.

A quality control technique called statistical process control uses statistical techniques to monitor and manage a process. This makes it possible to maintain an effective process that generates more products that meet specifications while using less trash.

When measuring small subgroups (n 10) from a process at regular intervals, an R-chart is a sort of control chart that is used to track the process variability (as the range). The value of a subgroup range is represented by each point on the chart.

Therefore, in determining whether a process is in statistical control, the R-chart should be analyzed first.

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Answer:

-5

Step-by-step explanation:

put the 10 on the other side of the = wich will change it to -10 then do -10/2 and x2/2 to get x=-5

Answer:

5 students

Step-by-step explanation:

.............,

Answer:

Step-by-step explanation:

y=mx+b   is the standard form

m= slope

If the slopes are the same they are parallel

If the slopes are Opposite signed and reciprocals, then they are perpendicular

both of the slopes are 5, so the lines are parallel

The measure of a is 32.89.

The measure of c is 40.35

The measure of B is 34.75°.

We have,

Tan = Perpendicular / Base

So,

Tan 55 = a / 23

And,

1.43 = a/23

a = 1.43 x 23

a = 32.89

Now,

Cosine = Base / Hypotenuse

Cos 55 = 23/ c

0.57 = 23/c

c = 23/0.57

c = 40.35

Now,

Sin B = 23/c

Sin B = 23/40.35

Sin B = 0.57

\(B = Sin ^{-1}0.57\)

B = 34.75°

Thus,

The measure of a is 32.89.

The measure of c is 40.35

The measure of B is 34.75°.

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Graph theory is the study of graphs and is a branch of mathematics. It involves a study of the relationship between edges and vertices. The graph's equality can be determined if the two graphs are equal or not. There are two graphs in the given problem. Now we will verify if the two graphs are equal or not.

Graphs representation of two graphs in the given problem. The first graph is represented in the matrix form, where the rows and columns of the matrix represent vertices a, b, c, d, e in order. The first graph is represented as follows. The second graph is represented as shown below.

It is also a simple graph with no loops or parallel edges. The vertices of the graph are {a, b, c, d, e}, and its edges are E = {{a, c}, {a, d}, {b, d}, {b, e}, {c, d}, {d, e}}. The two graphs are not the same as the number of vertices and edges differ.

Graph 1 has 5 vertices and 5 edges, whereas Graph 2 has 5 vertices and 6 edges. Therefore, the two graphs are not equal.

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Answer:

$2

Step-by-step explanation:

It says per year so what every 10% of $20 is that will be the answer.

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

The rocket is at a height of 16 ft after 1 second.

To find the time when the rocket is at a height of 16 ft, we need to solve the equation S(t) = 16, where S(t) represents the height of the rocket at time t.

Substituting the given equation for S(t), we have:

-16t² + 32t = 16

Rearranging the equation, we get:

-16t² + 32t - 16 = 0

Dividing the equation by -16 to simplify, we have:

t² - 2t + 1 = 0

Factoring the quadratic equation, we have:

(t - 1)(t - 1) = 0

Since (t - 1)(t - 1) = (t - 1)², we can rewrite the equation as:

(t - 1)² = 0

Taking the square root of both sides, we get:

t - 1 = 0

Solving for t, we find:

t = 1

Therefore, the rocket is at a height of 16 ft after 1 second.

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Answer:

20

Step-by-step explanation:

40 x 50% = 20

So 50% of 40 equals to 20. Now, since it says decreased by 50%, we have to subtract 20 from 40 because we already know that 20 is the 50%. So 40 - 20 gives you 20.

Answer:

See below.

Step-by-step explanation:

(a)

To multiply two polynomials, multiply every term of the first polynomial by every term of the second polynomial. Then combine like terms.

\( (\dfrac{1}{2}x - \dfrac{1}{4})(5x^2 - 2x + 6) = \)

\( = \dfrac{1}{2}x \times 5x^2 - \dfrac{1}{2}x \times 2x + \dfrac{1}{2}x \times 6 - \dfrac{1}{4} \times 5x^2 + \dfrac{1}{4} \times 2x - \dfrac{1}{4} \times 6 \)

\(= \dfrac{5}{2}x^3 - x^2 + 3x - \dfrac{5}{4}x^2 + \dfrac{1}{2}x - \dfrac{3}{2}\)

\( = \dfrac{5}{2}x^3 - \dfrac{9}{4}x^2 + \dfrac{7}{2}x - \dfrac{3}{2} \)

(b)

No. Since the binomials are different, the product of two different binomials and the same trinomial will give different results.

Answer: 1.2

Step-by-step explanation:  

To get 8% you have to do 8/100

that equals .08

Multiply .08 with 15 and it equals 1.2

Answer1.2:

Step-by-step explanation:

Alex can draw 1 square with the area of 11 square cm.

In mathematics, a factor is a divisor of a given integer that divides it exactly, leaving no leftover. We may employ a variety of techniques, including the division method and the multiplication method, to determine the factors of a given integer. When we need to split anything into equal rows and columns, compare prices, exchange money, and other real-world scenarios, we employ factors.

Given that, he can draw three different rectangles with an area of 12cm.

The dimension of the 12 cm square area would be:

12 = 1 x 12

12 = 2 x 6

12 = 4 x 3

For the area of 11 sq. cm the dimensions possible are:

11 = 1 x 11

Thus, Alex can draw 1 square with the area of 11 square cm.

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Answer:

See below

Step-by-step explanation:

The triangles ΔTYW and ΔZYW are congruent because

- SAS theorem

18.

19.

20.

21.

22. This question is incomplete

Given:

The two functions are

\(f(x)=5x+1\)

\(g(x)=\dfrac{x}{5}-\dfrac{1}{5}\)

To find:

The presentation which establishes that the functions are inverse functions.

Solution:

Two functions f(x) and g(x) are inverse of each other, if

\(f(g(x))=g(f(x))=x\)

We have,

\(f(x)=5x+1\)

\(g(x)=\dfrac{x}{5}-\dfrac{1}{5}\)

Now,

\(g(f(x))=\dfrac{5x+1}{5}-\dfrac{1}{5}\)

\(g(f(x))=\dfrac{5x}{5}+\dfrac{1}{5}-\dfrac{1}{5}\)

\(g(f(x))=x\)

Similarly,

\(f(g(x))=5\left(\dfrac{x}{5}-\dfrac{1}{5}\right)+1\)

\(f(g(x))=x-1+1\)

\(f(g(x))=x\)

Since, \(f(g(x))=g(f(x))=x\), therefore, the given functions are inverse of each other.

Hence, the correct option is C.

Answer with explanation:

An algebraic expression is an mathematical expression made by using numbers, variables, and the algebraic operations.

To find : Algebraic expression for each statement.

1. 11 more than a half number .

Let the number be x.

Required algebraic expression: \(11+\dfrac12 x\)

2. the sum of triple z and half of x .

Required algebraic expression: \(3z+\dfrac12 x\)

3. 1/2 the difference of a number and 15 .

Let the number be x.

Required algebraic expression: \(\dfrac12 (x-15)\)

4. 4 less than the quotient of x and -5

Required algebraic expression:  \(\dfrac{x}{-5}-4\)

Answer: Hmm

Step-by-step explanation:

Because studies used in a meta-analysis have typically used different statistical tests, a statistic called effect size is used to put all the results into a common scale.

A meta-analysis is a statistical approach used to synthesize the results of several studies. It is a quantitative study of studies. In other words, it is a method that uses statistical analysis to incorporate the results of multiple clinical studies, which helps to obtain a more precise and reliable estimate of the impact of the intervention.

Effect size is used to combine all the results of the different studies into a common scale because each study might use a different statistical test that is not directly comparable to other studies.What is effect size?Effect size is a numerical value that describes the magnitude of the difference between two groups in a study. It allows researchers to compare the findings from different studies that might use different measurement instruments.

A large effect size implies a significant difference between the two groups in a study. Conversely, a small effect size indicates that there is no meaningful difference between the groups. Effect size is calculated as the standardized difference between the means of two groups divided by their standard deviation (Cohen’s d).

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Answer:

2.5 hours

Step-by-step explanation:

The total amount of time studying by students who spent 1/2 an hour studying is the product of the number of students who spent 1/2 an hour studying by 1/2 an hour.

Hence, counting the number of dots on the point marked 1/2 gives the count of students who spent 1/2 an hour studying and multiply this number by 1/2.

Total amount of hours spent = 1/2 * 5 = 2.5 hours

Step-by-step explanation:

is that really all ?

to simplify 12/2 and 12/3 ?

well, 12 can be divided by 2 and by 3 without remainder.

and so we get

12/2 = 6/1 = 6

12/3 = 4/1 = 4

The matrix of \(t\) relative to the basis \(b'\) is \(A' = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\).

\(\textbf{To find the matrix of } t \textbf{ relative to the basis } b', \textbf{we have to follow some steps. The steps are described below:}\)

First, we have to find the images of basis vectors under the transformation \(t\). \(t(-1,1) = (-9,7)\) and \(t(1,-5) = (-37,43)\).

Represent the image vectors of the basis in the standard basis. We use these vectors as columns in the matrix of \(t\) in the basis \(b'\).

\((-9,7) = -9(1,0) + 7(0,1) = (-9,7) = -9(-1,1) + 7(1,-5)\)

\((-37,43) = -37(1,0) + 43(0,1) = (-37,43) = -37(-1,1) + 43(1,-5)\)

Hence, we can write the following equation: \(A[x]_{b'} = [x]_S\)

Where \(A[x]_{b'}\) is the main answer in the form of a matrix, and \([x]_S\) is the coordinate of \([x]_{b'}\) with respect to the standard basis.

Now, we will write the equations with the coordinates of the basis vectors of \(b'\).

\(A[1,0] = [-9, -37]\) and \(A[0,1] = [7, 43]\)

Now we will write the matrix of \(A\) as follows:

\(A = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\)

Thus, the matrix of \(t\) relative to the basis \(b'\) is \(A' = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\).

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Answer:

This number is rational because there is a repeating pattern. Following the decimal, there is one 0 then a 2. This process repeats by adding a 0 each time the number 2 is passed.

Step-by-step explanation:

Answer:

the product of a and c is negitive

Step-by-step explanation:

Answer:

The second one is true

The third one is true

The fourth one is false

The fifth one is true

The sixth one is false

Answer:

Option B

Step-by-step explanation:

Set 1:

med: 76, Range: 50-65= 15IQR: 77-73= 4

find the median, range, and IQRfor each data set.

Set 2:

med: 60, Range: 68-55= 13,IQR: 63-59= 4

76- 60 =16

find the difference of the medians 16 is 4 times 4

so the difference of the medians is 4 times the IQR

----------------------------

hope it helps...

have a great day!!

a. The linear approximating polynomial for the function f(x) centered at a=1 is P1(x) = 11 + (x - 1) * f'(1).

b. The quadratic approximating polynomial for the function f(x) centered at a=1 is P2(x) = 11 + (x - 1) * f'(1) + (x - 1)^2 * f''(1).

c. Using the linear approximating polynomial P1(x), the approximation of f(1.06) is 11 + (1.06 - 1) * f'(1).

Using the quadratic approximating polynomial P2(x), the approximation of f(1.06) is 11 + (1.06 - 1) * f'(1) + (1.06 - 1)^2 * f''(1).

a. To obtain the linear approximating polynomial P1(x) centered at a=1, we need to consider the first derivative of f(x) evaluated at x=a. The linear polynomial can be constructed as P1(x) = f(a) + (x - a) * f'(a), where f'(a) represents the derivative of f(x) at x=a. In this case, the function f(x) is not provided, so we cannot determine the exact form of P1(x) without knowing the specific function.

b. For the quadratic approximating polynomial P2(x) centered at a=1, we consider the second derivative of f(x) evaluated at x=a. The quadratic polynomial can be expressed as P2(x) = f(a) + (x - a) * f'(a) + (x - a)^2 * f''(a), where f''(a) represents the second derivative of f(x) at x=a.

c. Using the linear approximating polynomial P1(x) to approximate f(1.06), we substitute x=1.06 and a=1 into the equation. The approximation is given by P1(1.06) = 11 + (1.06 - 1) * f'(1).

Similarly, using the quadratic approximating polynomial P2(x) to estimate f(1.06), we substitute x=1.06 and a=1 into the equation. The approximation is given by P2(1.06) = 11 + (1.06 - 1) * f'(1) + (1.06 - 1)^2 * f''(1).

However, since the function f(x) and its derivatives are not provided, the exact values for the approximations cannot be determined without further information.

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The data described, specifically the horsepower of motorcycles in a dealership, is quantitative data. Quantitative data is numerical in nature and represents a measurable quantity or attribute. In this case, the horsepower values assigned to motorcycles can be measured and compared using numeric values.

Quantitative data represents numerical values that can be measured or counted. It provides a quantitative measurement or description of a particular attribute or characteristic. In the case of the horsepower of motorcycles in a dealership, the data is quantitative because it involves numerical values that quantify the power output of the motorcycles.

Horsepower is a unit of measurement used to indicate the power or performance of an engine, including that of motorcycles. It is typically measured using standardized tests or calculations. The horsepower values assigned to motorcycles in the dealership can be expressed as numerical quantities, such as 50 horsepower, 100 horsepower, or 150 horsepower.

Quantitative data allows for meaningful mathematical operations and comparisons. For example, you can calculate the average horsepower of all the motorcycles in the dealership, compare the horsepower of different models, or analyze the distribution of horsepower across the available motorcycles.

In summary, the horsepower of motorcycles in a dealership represents quantitative data because it involves numerical values that can be measured, compared, and analyzed.

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