Patty is ordering vests for her scout troop to wear in the Veterans Day parade. She ordered 12 vests from the Festive Features clothing shop. Since this was a bulk order, Festive Features reduced the price of each vest by $6. The total came to $132.

Answers

Answer 1

The equation that can be used  to find the amount, v, Festive Features normally charges for a vest is given as follows:

12(v - 6) = 132.

How to obtain the normal price?


The normal price is obtained applying the proportions in this problem, considering the total amount paid and the number of items purchased.

The parameters are given as follows:

12 vests were purchased.The price of each vest was reduced by $6 from the normal price v, hence the discounted price is of v - 6.The total price was of $132.

Then the equation used to find the standard price is presented as follows:

12(v - 6) = 132.

Missing Information

The missing sentence is:

Which equation can you use to find the amount, v, Festive Features normally charges for a vest?

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Related Questions

What is the mean of the data 6 7 10 12 13 4 8 12?

Answers

The mean of the data 6 ,7 ,10 ,12, 13, 4, 8 ,12 is 9.

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

The basic formula to calculate the mean is calculated based on the given data set. Each term in the data set is considered while evaluating the mean. The general formula for mean is given by the ratio of the sum of all the terms and the total number of terms. Hence, we can say;

Mean = Sum of the Given Data/Total number of Data

Mean= 6 +7+ 10+ 12+ 13+ 4+ 8 +12 /  8 = 72/8 = 9

Hence, The mean of the data 6 ,7 ,10 ,12, 13, 4, 8 ,12 is 9.

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Which unit would you ue to meaure the amount of water in a bathtub?

fl. Oz. Kg
mL
L

Answers

Answer:

Liters would be the better unit of capacity for the amount of water in a bathtub.

Step-by-step explanation:

Answer: Liters would be the better unit of capacity for the amount of water in a bathtub.

Step-by-step explanation:

What is the probability of getting 5 out of 20 numbers?

Answers

Answer:

Step-by-step explanation:

The number of events is 5 (since there are 5 red marbles), and the number of outcomes is 20. The probability is 5 ÷ 20 = 1/4. You could also express this as 0.25 or 25%.

What is the relationship between the base and the height of an area formula?

Answers

A triangle's area is 1/2(b*h), where b is the base and h is the height. A triangle's base can be any of its sides, and its height is the length of the altitude from the opposite vertex to that base.

What is area?

The area is the region defined by an object's form. The area of a form is the space covered by a figure or any two-dimensional geometric shape in a plane. The quantity area indicates the extent of a region on a planar or curved surface. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina.

Here,

The area of a triangle is 1/2(b*h), where b is the base and h is the height. A triangle's base is any one of its sides, and its height is the length of the altitude from the opposite vertex to that base.

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What us the third step in sketching the graph of a rational function

Answers

The third step in sketching the graph of a rational function is "Finding the function's zeros and vertical asymptotes and plotting them on a number line".

What is vertical asymptotes?

A graph's vertical asymptote is a vertical line with the equation x = a, where the graph tends to positive or negative infinity as the inputs get closer to the value of a. A graph's horizontal asymptote is a horizontal line with the equation y = b, where the graph approaches the line as the inputs go closer to ∞ or –∞.

The steps to sketch a graph of rational function:

1. Ensure that the function's denominator and numerator are listed in decreasing order of power.

2. Discover the domain

3. Completely factor the numerator and denominator. Any shared factors between the numerator and denominator should be eliminated. (Once factors have been cancelled, the reduced function is what remains. For all subsequent actions, employ the reduced function.) Skip Step 4 if there are no common factors.

4. Look for any holes

5. Search for any vertical asymptotes.

6. Find the Horizontal Asymptote.

7. Look for any x- and y-intercepts.

8. Locate test points

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In 2010, the population of a city was 193,000. From 2010 to 2015, the population grew by 6%. From 2015 to 2020, it fell by 3%. How much did the population decrease from 2015 to 2020, to the nearest 100 people?

Answers

Answer:

6138

Step-by-step explanation:

First, we have to find the population of the city in 2015

6% = 0.06

193,000 times 0.06 = 11580 people increase

We know it is increasing, so we have to add them

193,000 + 11580 = 204580 people in 2015

Now let's find the 3% decrease

3% = 0.03

204580 times 0.03 = 6137.4

So, about 6138 people decrease from 2015 to 2020

select the reason that best supports statement 6 in the given proof

Answers

Answer:

C. Subtraction Property of Equality

Step-by-step explanation:

The equation is

m<1 + m<2 = m<2 + m<4

m<1 = m<4

We see that is subtraction property, so the answer is C

What are two important first steps in data analysis? -Cleaning the data and exploring it -Cleaning and scrubbing the data -the box plot and the 5 number summary -correlation and regression

Answers

The two important first steps in data analysis are data cleaning and exploring it, so, option A is correct.

What is correlation?

A measure of the relationship between two variables is a correlation. Variables can be related in a number of ways, including linearly, non-linearly, and in other ways. Variables can also have varying degrees of association with one another. The most popular linear coefficient used to determine how closely two variables correlate is called Pearson's correlation coefficient, or PCC.

The steps of data analysis are shown below,

First, define the question. Identifying your purpose is the first stage in any data analysis procedure.

Gathering the data is the second step.

Third step: data cleaning.

The fourth step is data analysis.

Five: Present your findings.

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How do you solve an equation with 5 variables?

Answers

A linear equation, with five variables, has an infinite number of solutions.

What is linear equation?

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Let linear equation:

5 =  x + a + b + c + y

In this equation,

there are five variables, x, a, b, c and y.

And the number of equation is one.

That means,

the number of unknowns > the number of equation

5>1.

Substitute the value of 4 variables to find the value of one variable.

Let, we have to find solutions as subject to y.

We so obtain varied values of y when preserving distinct values of x, a, b, c.

Therefore, infinitely many solutions are possible.

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find the range of the function f(x) = x^2 - 6x if the domain is (-7, -2, 1)

Answers

The range of the function f(x) = x² - 6x with domain of (-7, -2, 1) is calculated to be (91, 16, -5)

How to find the range for the given domains

The domain is controlled by the input values. considering the points (-7, -2, 1)

The range is solved using the given function

f(x) = x^2 - 6x

substituting for x in the function

for x = 7

= 7² - 6 * -7 = 91

for x = -2

= -2² - 6 * -2 = 16

for x = 1

= 1² - 6 * 1 = -5

The range is (91, 16, -5)

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eliminate the parameter t to find a Cartesian equation for: x=t2 y=2+3t x=Ay2+By+C Where A=________ B=__________ and C=________ If you can give step by step help that is GREATLYappreciated!!!

Answers

The cartesian equation for x = t² and y = 2 + 3t is x = (1/9)y² - (4/9)y + (4/9).

Where the value of A, B, and C are 1/9, - 4/9, and 4/9.

The parameter t that we have

y = 2 + 3t
3t = y - 2
t = (y - 2)/3
t = 1/3 y - 2/3x = t²
x = (1/3 y - 2/3)²
x = (1/3 y)²- (2 × 1/3 y × 2/3) + (2/3)²
x = (1/9)y² - (4/9)y + (4/9)

The cartesian equation x = (1/9)y² - (4/9)y + (4/9)

A = 1/9B = - 4/9C = 4/9

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The table shows three unique, discrete functions.



Which statements can be used to accurately compare the functions? Select two options.

g(x) has the lowest minimum.
f(x) has the greatest maximum.
All three functions have a y-intercept.
All three functions have an x-intercept.
The domain of all three functions is the s

Answers

We are aware that a discrete function is one that satisfies the criteria for a function and has a countable domain (represented as a collection of disconnected points) (each input has at most one output). Many inputs in discrete functions won't have any outputs.

According to the inquiry,

All three of the functions have a y-intercept and, given the facts in the question, f(x) is the highest maximum.

The largest maximum of the three functions—g(x), f(x), and f(y)—has an x-intercept.

Three distinct discrete functions are displayed in the table.

f(x)minimum: 1 g(x)minimum; -4 12 h(x)minimum-5; as a result, f(x)maximum: 10 g(x)maximum; 3 12 h(x)maximum; 12 f(x)domain; (0, 2) g(x)domain; (-2, 2) h(x)domain; (0, 1) g(x)y-inter (0, -5)

Using the procedures above, we may conclude that f(x) has no x.

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In a certain class, the ratio of passing grades to failing grades is 7 to 5. How many of the 36 students failed the course?.

Answers

First, let’s convert the ratio to a fraction. Because a ratio is the comparison of two parts and a fraction is a ratio of parts to whole, we can add the ratio together to get the total passing and failing grades.

7:5 ——> 7+5=12

Since 5 represents the number of failing grades, 5/12 grades are failing grades.

Now, we need to find the number of failing students given a total of 36 students. We can create a proportion and use “x” for the number of failing students.


5/12=x/36

Cross multiply to solve for x:

5•36=12•x

Simplify:

180=12x

Divide both sides by 12 to isolate x:

180/12=x

15=x

Apply the symmetric property:

x=15

This means that 15 students are failing the class. Let’s make sure these two fractions are indeed equivalent by plugging x=-5 back into the equation:

5/12=15/36

.416=.416

Because the quotients are equal, the fractions are proportional.

So, your answer is 15/36 students are failing

What is the median of the number 445 767 712 and 3?

Answers

The Median for the following data 3 445 712 767 will be 578.5.

One measure of central tendency is the median. The median of a set of numbers is its midway value. It splits a sample of given data into the upper and lower halves. A minimum of half of the observations are above the median and a minimum of half are below it.

When there are exactly even numbers of observations in a data collection, the median can be calculated as follows:

sorting of the sample data in ascending or descending order.

If there are an even number of observations (let's say n), identify the (n/2)nd and [(n/2) + 1] th observations.

The average of the top two observations is the same as the median of the data given (as determined in step 2).

Here n = 4, So [4/2 + (4/2)+1}/2, So the median will be 578.5.

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How do you check XY coordinates?

Answers

Begin at the point and follow a vertical line either up or down to the x-axis. There is your x-coordinate. And then do the same but following a horizontal line to find the y-coordinate.

solve the simultaneous equation:
6x+y=29
3x-y=7

Answers

Answer:

x=4

y= 5

Step-by-step explanation:

6x+y=29

3x-y=7

Let's add them together

9x = 36

x= 4

Then put 4 back in the equation for x

6(4) + y =29

24 + y = 29

y= 5

Name: Period: Number Classification Worksheet 1) Re-write each number in the Venn Diagram where it belongs. REAL NUMBERS RATIONAL IRRATIONAL -19 1.2 0 3 INTEGERS VIO 181 3.456 WHOLE -1.48298..... 11+3 NATURAL 2) List all classifications of the number. a) Vio b) -44 c) 3 d) -/11 3) Check all boxes that apply to the number. Real Natural Whole Integer Rational Irrational al 81 b) c) d) 1.2 0 13

Answers

Counting numbers are another name for natural numbers. These are 1, 2, 3, and so forth.

Natural numbers plus zero are whole numbers.

Natural numbers, whole numbers, and the opposites of whole numbers are all considered integers. These numbers range from -3 through -2, -1, 0, 1, 2, 3, etc.

Integers, whole numbers, rational numbers, and numbers that may be expressed as fractions are all considered rational numbers. In this case, fraction [tex]\frac{a}{b}[/tex], where; a and b must both be integers.

All non-rational numbers are categorized as being irrational. These figures cannot be expressed as fractions. This includes decimals like [tex]\pi[/tex], [tex]\sqrt{2}[/tex], and 3.2576352417942 that doesn't end or repeat.

The collection of all rational and irrational numbers, as well as their subsets, is known as the Real Number System.

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You flip a fair coin.

What is P(tails)?

If necessary, round your answer to 2 decimal places.

Answers

The probability to get tails is 0.50.

What is rounding 2decimal place?

The second place to the right of the decimal point, or the hundredths place, is used to round a decimal value to two decimal places. For instance, you can round 2.83620364 to two decimal places as 2.84 and 0.7035 to two decimal places as 0.70.

The probability of an event is the ratio of the number of outcomes of the required event to the number of total outcome.

In a coin, there are two parts in coins that are tails and heads.

The total number of possible outcomes is 2.

The number of tails of a coin is 1.

The probability to get tails is = 1/2

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Forty percent of the pupil in m. Alcantara' grade 6 claa are 12 year old. Another 0. 25 are 13 year old and the ret of the cla i 11 year old. Write 11 a a fraction,decimal,and percent

Answers

Answer:

7/20

0.35

35%

Step-by-step explanation:

12 year olds: 40%

12 year olds: 25%

11 year olds: 100% - 40% - 25% = 35%

35% = 35/100 = 7/20

35% = 0.35

35% = 35%

Create a proportional ratio to the given ratio.
14
17

Answers

(well i'll give it my best shot)

14:17

 ⬇️

let's add 14 and 17 together.

***************

14 + 17 = 31

14 = 14/31 (*fraction*)

17 = 17/31 (*fraction*)

I hope this helps in any way possible.

Merry Christmas (Eve), Happy New Year, and Happy Holidays!

What is the value of 4 3 answer?

Answers

The value of 4 to the 3rd power =64

According to the power rule of exponents,

am = m times a x a x a

Thus, 43 can be written as 4 × 4 × 4 = 64.

Thus, the value of 4 to the 3rd power i.e., 4^3 is 64

Exponent is the process of representing huge numbers as powers, according to the definition. Exponent, then, is the number of times a number has been multiplied by itself. Using 6 as an example, multiply it by itself four times, or 6 6 6 6. You can write this as 64. In this case, the exponent is 4 and the base is 6.

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What is the quadratic equation in standard form of a 2 b =- 3 and C =- 6?

Answers

Answer:

2x² - 3x - 6 = 0

Step-by-step explanation:

the standard form of a quadratic equation is

ax² + bx + c = 0 ( a ≠ 0 )

here a = 2 , b = - 3 and c = - 6 , then

2x² - 3x - 6 = 0 ← in standard form

What is the solution of the system of equations 6x 2y 4 9x 3y 12?

Answers

The solution of the given system of equations 6x + 2y = 4 , 9x -3 y = 12 is equal to x =1 and y = -1.

As given in the question,

Given system of equations are :

6x + 2y = 4     ____(1)

 9x -3 y = 12   _____(2)

Multiply (1) by 3 and (2) by 2 and add equation (1) and  (2) to eliminate y variable and get the value of variable x ,

18x + 6y = 12

18x - 6y = 24

36x      = 36

⇒x = 36 / 36

⇒ x = 1

Substitute value of x = 1 in the given equation (1) to get the value of variable y,

6(1) + 2y = 4

⇒ 6 + 2y = 4

⇒ 2y = 4 - 6

⇒ y = -1

Therefore, given system of equations 6x + 2y = 4 , 9x -3 y = 12 solution is equal to x = 1 and y = - 1.

The above question is incomplete, the complete question is:

What is the solution of the system of equations 6x + 2y = 4 , 9x -3 y = 12?

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Which out of the following are expressions with numbers only?
(a) y + 3
(b) (7 × 20) – 8z
(c) 5 (21 – 7) + 7 × 2
(d) 5
(e) 3x
(f) 5 – 5n
(g) (7 × 20) – (5 × 10) – 45 + p

Answers

5 (21 – 7) + 7 × 2 and (d) 5 are the expressions with numbers only since they have only numerical constants and the other expressions given involve variables.

What equation contains an expression?

The equal to sign (=) is the best indicator of whether a given problem is an equation or an expression because it indicates that the problem is an equation.

                It is only an expression if there isn't an equal to (=) sign present. It contains data that is used to demonstrate value, such as numbers, variables, and operators.

5 (21 – 7) + 7 × 2 and (d) 5 are the expressions with numbers only since they have only numerical constants and the other expressions given involve variables.

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What is 3.14 of a circle?

Answers

Answer: 3.14 means pi

A sum of money is to be divided between Alyah, Byron and Cecil. Alyah receives $1 plus one-third of what is left. Byron then receives $6 plus one-third of what remains. Cecil receives the rest, which amounts to $40. How much did Byron receive? (A) $26 (B) $28 (C) $30 (D) $32 (E) $34​

Answers

Answer:

  (A)  $26

Step-by-step explanation:

You want to know the amount Byron received from the distribution to Alyah, Byron, and Cecil, given Cecil received $40.

Setup

Let x represent the amount being distributed, and a, b, c represent the amounts received by Alyah, Byron, and Cecil, respectively.

The given relations tell us ...

  a = 1 + 1/3(x -1)

  b = 6 + 1/3(x -a -6)

  c = x -a -b = 40

Solution

Substituting for b gives us ...

  40 = x - a - (6 +1/3(x -a -6)) = x -a -6 -1/3x +1/3a +2 = 2/3x -2/3a -4

  44 = 2/3(x -a) . . . . . . . add 4, factor out 2/3

  66 = x -a . . . . . . . . . multiply by 3/2

Substituting for a gives us ...

  66 = x -(1 +1/3(x -1)) = x -1 -1/3x +1/3 = 2/3x -2/3 = 2/3(x -1)

  99 = x -1 . . . . . . . multiply by 3/2

  100 = x . . . . . . add 1

Distribution

Then ...

  a = 1 + 1/3(100 -1) = 1 + 99/3 = 34

  b = 6 + 1/3(100 -34 -6) = 6 + 1/3(60) = 26

Byron received $26.

__

Additional comment

Based on results, the "what is left" is the amount after the $1 or $6 distributions are made.

  Alyah: $34, Byron: $26, Cecil: $40, for a total of $100.

<95141404393>

Which inequality is true?

A. 2 pi/ 2 < 3
B. 4 pi > 12
C. pi + 6 < 9
D. 3 pi - 1 < 8

Answers

The true inequality is 4π > 12.

How to solve inequality?

Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤. Therefore, let's solve the inequalities that is true.

Hence,

[tex]\frac{2\pi }{2} < 3[/tex]

π < 3 (This is false because 3.14 is greater than 3)

4π > 12

divide both sides by 4

π > 3 (This is true.)

π + 6 < 9

subtract 6 form both sides

π < 3 (This is false)

3π - 1 < 8

3π < 9

π < 3 (This is false)

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How do you arrange the angles of a triangle from smallest to largest?

Answers

If you have three side lengths, you should find the angle opposite the smallest side to determine the lowest angle, the angle opposite the medium-sized side to determine the greatest angle, and the angle opposite the largest side to determine the greatest angle.

What are angles?

Two rays that have a common terminal and are referred to as the angle's sides and vertices, respectively, make up an angle in Euclidean geometry. Two rays can form angles in the plane where they are positioned.

Angles are also produced when two planes intersect.

These are what are known as dihedral angles.

Consequently, if you have three side lengths, you should discover the lowest angle by finding the angle that is opposite the smallest side, the medium-sized angle by finding the angle that is opposite the medium-sized side, and the greatest angle by finding the angle that is opposite the largest side.

Therefore, if you have three side lengths, you should find the angle opposite the smallest side to determine the lowest angle, the angle opposite the medium-sized side to determine the greatest angle, and the angle opposite the largest side to determine the greatest angle.

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Step 1 of 5: Determine the missing value on the vertical axis represented by [?]. Per Capita Personal Income by State for 2004 52000 9[21 20000 State Tables Keypad Answer How to enter your answer

Answers

The complete question should be: What is the per capita personal income for a given state in 2004, represented by the value [?] on the vertical axis of the state table?

The missing value on the vertical axis represented by [?] must be $21,200.

In order to determine the missing value on the vertical axis represented by [?], we need to consider the per capita personal income for each of the states listed in the table. The states are listed in order from highest income to lowest income. The highest-earning state is listed first with a per capita personal income of $52,000. The next-highest-earning state has a per capita personal income of $21,200. Therefore, the missing value on the vertical axis represented by [?] must be $21,200.

To enter this answer, first identify the numerical keypad on the calculator. Then, enter the numerical value of $21,200 (21200) using the keypad. Finally, press the “enter” or “equals” key to submit the answer. This will cause the missing value on the vertical axis to be displayed on the calculator screen.

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this question is not making sense to me, i need a quick answer.

Answers

Answer:

x-intercept: (-21/2,0)

y-intercept : (0,-21)

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The purpose of the mentoring program is toO build working relationships.O establish an authoritarian leader.foster competition and improve policy.O increase delegation of roles. I don't UNDERSTAND THIS PROBLEM PLEASE HELP ME SOLVE IT Venus Creations sells window treatments (shades, blinds, and awnings) to both commercial and residential customers. The following information relates to its budgeted operations for the current year. Commercial Residential Revenues $328,000 $514,000 Direct materials costs $45,000 $50,000 Direct labor costs 110,000 290,000 Overhead costs 108,000 263,000 199,000 539,000 Operating income (loss) $65,000 $(25,000) The controller, Peggy Kingman, is concerned about the residential product line. She cannot understand why this line is not more profitable given that the installations of window coverings are less complex for residential customers. In addition, the residential client base resides in close proximity to the company office, so travel costs are not as expensive on a per client visit for residential customers. As a result, she has decided to take a closer look at the overhead costs assigned to the two product lines to determine whether a more accurate product costing model can be developed. Here are the three activity cost pools and related information she developed: Activity Cost Pools Estimated Overhead Cost Drivers Scheduling and travel $108,000 Hours of travel Setup time 119,000 Number of setups Supervision 80,000 Direct labor cost Estimated Use of Cost Drivers per Product Commercial Residential Scheduling and travel 800 550 Setup time 450 250Compute the activity-based overhead rates for each of the three cost pools. (Round overhead rate for supervision to 2 decimal places, e.g. 0.38.)Overhead RatesScheduling and travel $enter a dollar amount per dollar rounded to 2 decimal placesper hourSetup time $enter a dollar amount per setup rounded to 2 decimal placesper setupSupervision $enter a dollar amount per dollar rounded to 2 decimal places What is computer task bar I NEED HELP ASAP!!!If angle MNO = 80, find angle MIf Type your answer as an integer or round to the nearest tenth. Sally rides her bike to the store to get some Skittles. The store is 5 kmaway. If it takes her 10 minutes to get to the store what is her averagespeed?0.5 km/hr0.5 mph0.5 km/min5 km/min How do I write a whole number in standard form Which of the following is true of Darwin's theory of natural selection?A. Individuals with a favorable traits are most likely to survive and reproduce. B. There is no variation in organisms in a population. C. Only a small number of offspring in a population are born. D. All individuals in a population ahve the same genetic traits Help me please its for math class SAQ help pleasea) Identify ONE way in which popular and consumer culture became more global in the second half of the 20th century as a result of political and social changes.b) Identify ONE way in which entertainment shows the influence of globalized society.c) Explain ONE way in which consumer culture became globalized and went beyond national borders. Which charges were brought against President Nixon? Check all that apply.commitment of fraudobstruction of justiceabuse of powercontempt of courtdefying of subpoenas