write an inequality and that represents the graph.

Write An Inequality And That Represents The Graph.

Answers

Answer 1

Answer:

Part 16) [tex]y\leq -x+2[/tex]

Part 17) [tex]y>\frac{1}{3}x-1[/tex]

Step-by-step explanation:

Part 16) we know that

The solution of the inequality is the shaded area below the solid line

The slope of the solid line is negative

The y-intercept of the solid line is the point (0,2)

The x-intercept of the solid line is the point (2,0)

The slope of the solid line is

[tex]m=(0-2)/(2-0)=-1[/tex]

The linear equation of the solid line in slope intercept form is

[tex]y=-x+2[/tex]

therefore

The inequality that represent the graph is

[tex]y\leq -x+2[/tex]

Part 17) we know that

The solution of the inequality is the shaded area above the dashed line

The slope of the dashed line is positive

The y-intercept of the dashed line is the point (0,-1)

The x-intercept of the dashed line is the point (3,0)

The slope of the dashed line is

[tex]m=(0+1)/(3-0)=\frac{1}{3}[/tex]

The linear equation of the dashed line in slope intercept form is

[tex]y=\frac{1}{3}x-1[/tex]

therefore

The inequality that represent the graph is

[tex]y>\frac{1}{3}x-1[/tex]


Related Questions

what is the simplified expression to 3.4m+2.4m​

Answers

Final answer:

The simplified expression for 3.4m + 2.4m is 5.8m. You simply add the coefficients of like terms.

Explanation:

To simplify the expression 3.4m + 2.4m, we need to combine like terms. The term 'like terms' refers to terms that have the exact same variable raised to the same power. In this case, both terms have 'm' as the variable, and it's not raised to any power (which is the same as being raised to the power of 1).

Combine the coefficients (numerical parts) of the like terms:

3.4m + 2.4m = (3.4 + 2.4)m

Add the coefficients: 3.4 + 2.4 = 5.8

Therefore, 3.4m + 2.4m = 5.8m.

Which expression is equivalent to

Answers

First choice: m^32n^16

Hope this helps!

Answer:

The correct answer would be m^32n^16.

Step-by-step explanation:

This is because when you have a power inside parenthesis multiplied by a power outside the parenthesis, you are simply going to multiply the numbers like so:

8 • 4 = 32

4 • 4 = 16

m^32n^16

Hope this helps,

A.W.E.S.W.A.N.

• What ratio is equivalent to 6 to 2? Complete the statement.
)) The ratio 6 to 2 is equivalent to the ratio
to ?
3 to 1

Answers

Final answer:

The ratio 6 to 2 is equivalent to the ratio 3 to 1, obtained by dividing both the numerator and denominator of the ratio by their greatest common divisor, which is 2.

Explanation:

To find a ratio equivalent to 6 to 2, you simplify the ratio by dividing both numbers by their greatest common factor. In this case, the greatest common factor is 2, so 6 ÷ 2 = 3 and 2 ÷ 2 = 1. Therefore, the equivalent ratio is 3 to 1.

The ratio 6 to 2 can be simplified by dividing both numbers by their greatest common divisor, which is 2. Therefore, 6 divided by 2 is 3, and 2 divided by 2 is 1. This simplification shows that the ratio 6 to 2 is equivalent to 3 to 1. Ratios compare two quantities and can be expressed in several forms such as fractions, with a colon, or using the word "to". An equivalent ratio maintains the same proportional relationship between its components, just like how 6:2 has the same proportional relationship as 3:1.

help, succession formula

Answers

Answer:

[tex]a_n=-3*\left ( -\frac{2}{3} \right )^n \ n>=0[/tex]

Step-by-step explanation:

Succession can be understood as a sorted collection of values that respond to a general term or rule. We need to find if these numbers are in arithmetic progression or geometric progression.

In an arithmetic progression, every number is obtained as the previous number plus or minus a constant value called common difference. In a geometric progression, we get the next numbers as the previous one multiplied or divided by a constant value, called the common ratio.  

If we try to find a possible common difference between first and second terms we get:

[tex]2-(-3)=5[/tex]

If it was an arithmetic progression, third term should be

[tex]2+5=7[/tex]

Which is obviously not true. Now let's try to find a possible common ratio by dividing second by first term

[tex]r=\frac{2}{-3}=-\frac{2}{3}[/tex]

Testing our value to find the third term we get

[tex]a_3=2*(-\frac{2}{3})=-\frac{4}{3}[/tex]

Since we have more terms to test:

[tex]a_3=(-\frac{4}{3})*(-\frac{2}{3})=\frac{8}{9}[/tex]

The given value is just as predicted

The fourth term can be accurately predicted also:

[tex]a_4=(\frac{8}{9})*(-\frac{2}{3})=\frac{16}{27}[/tex]

Now we are sure it's a geometric progression, it can easily be stated the general term of the progression is

[tex]a_n=a_1*r^n \ n>=0[/tex]

[tex]a_n=-3*\left ( -\frac{2}{3} \right )^n \ n>=0[/tex]

What is the first step to take when solving this linear system of equations by the addition-subtraction method? 2x + 4y = 3 x + 3y =13 A) solve for y in terms of x B) solve for x in terms of y C) multiply the first equation by −2 D) multiply the second equation by −2

Answers

The right answer is Option D.

Step-by-step explanation:

Given equations are;

2x+4y=3    Eqn 1

x+3y=13    Eqn 2

When we use subtraction-addition method, we make one of the variables same with opposite signs so that only one variable remains after addition or subtraction.

In the given problem, we will multiply Eqn 2 with "-2" so that the x variables become equal and then we can add both the equations and solve for y.

Therefore,

The first step will be to multiply the second equation by -2 to solve the linear system of equations.

The right answer is Option D.

Keywords: linear equations, subtraction

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Answer:

It's D.

Step-by-step explanation:

It was correct on my unit test review.

3. In order to enter the state fair, there is
an admission cost. Each game is $3.
Steven went to the state fair, played
4 games and spent a total of $20 on
admission and games. Assume the
relationship is linear. Find and interpret
the rate of change and the initial value.​

Answers

Answer:

C = 8 + 3x

The rate of change in the above equation is 3 dollars per game and it interpret the cost per game.

The initial value in the above equation is 8 dollars, which interpret the entry fee that every one person has to pay to enter the fair.

Step-by-step explanation:

Let the admission cost of the fair is $x and each game is $3.

Now, Steven went to the state fair, played  4 games and spent a total of $20 on  admission and games.

So, we can write 20 = x + 4 × 3 {As the relation is linear}

x = $8

Therefore, the admission cost in the fair is $8.

Therefore, the equation that models the situation is  

C = 8 + 3x ............ (1)

Where C is the total cost and x is the number of games played.

So, the rate of change in equation (1) is 3 dollars per game and it interprets the cost per game.

Again, the initial value in equation (1) is 8 dollars, which interprets the entry fee that each person has to pay to enter the fair. (Answer)

How many solutions does this system of equations have?


exactly one

exactly two

infinitely many

none

Answers

Answer:

exactly one

Step-by-step explanation:

1. subtract 2x from the equation 2x + y = 1

2. now you should have y= -2x + 1

3. then on the second equation subtract 4x from 4x + 2y = 2

4. now you should have 2y = -4x + 2

5. divide everything by 2

6. now you should have y = -2x + 1

7. since you got an exact answer on both of them then it is exactly one

My answer would be exactly one

Evaluate the expression –0.4(3x – 2) + StartFraction 2 x plus 4 Over 3 EndFraction for x = 4

Answers

Answer:

[tex]-0.4(3x-2)+\frac{2x+4}{3}=0\ \textrm{for}\ x=4[/tex]

Step-by-step explanation:

Given:

The expression to evaluate is given as:

[tex]-0.4(3x-2)+\frac{2x+4}{3}[/tex]

The value of 'x' is 4.

Plug in 4 for 'x' in the above expression and simplify. This gives,

[tex]=-0.4(3(4)-2)+\frac{2(4)+4}{3}\\=-0.4(12-2)+\frac{8+4}{3}\\=-0.4(10)+\frac{12}{3}\\=-4+4\\=0[/tex]

Therefore, the value of the given expression for 'x' equal to 4 is 0.

The required value of the given expression is 0 when substituting the value of x = 4 into the expression.

The expression is given as follows:

-0.4(3x - 2) + (2x + 4) / 3

Let's evaluate the given expression for x = 4:

Expression = -0.4(3x - 2) + (2x + 4) / 3

Substitute x = 4 into the given expression:

Expression = -0.4(3 × 4 - 2) + (2 × 4 + 4) / 3

Expression = -0.4(12 - 2) + (8 + 4) / 3

Expression = -0.4(10) + 12 / 3

Expression = -4 + 12 / 3

Expression = -4 + 4

Expression = 0

Therefore, when x = 4, the value of the expression is 0.

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Make b the subject of the formula
[tex]a = \sqrt{b + 6} [/tex]

Answers

Answer:

a^2 -6

Step-by-step explanation:

use ur basic knowing of equations

find the slope between the points (-4,5) and (-8,-5)​

Answers

Answer:

[tex] \frac{5}{2} \\ [/tex]

Step-by-step explanation:

[tex] \frac{ - 5 - 5}{ - 8 - - 4} [/tex]

Y - Y divided by X - X, the Y is 5 and the X is 2 (Rise over Run)

Answer:

[tex]\displaystyle 2\frac{1}{2} = m[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-5 - 5}{4 - 8} = \frac{-10}{-4} = 2\frac{1}{2}[/tex]

I am joyous to assist you anytime.

What is the y-intercept of the function f(x) = –negative StartFraction 2 Over 9 EndFraction.x + ?

Answers

The y-intercept is 1/3

Explanation:

I'll assume the function is the following:

[tex]f(x)=-\frac{2}{9}x+\frac{1}{3}[/tex]

As you can see, this is the equation of a line written in Slope-intercept form. The general rule of writing lines in this form is:

[tex]y=mx+b[/tex]

Where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept, which is the point at which [tex]x=0[/tex]. By comparing our function with the written rule, we can say that the y-intercept is:

[tex]\boxed{b=\frac{1}{3}}[/tex]

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Answer:

[tex]b=\frac{1}{3}[/tex]

Step-by-step explanation:

The given function is

[tex]f(x)=-\frac{2}{9}x +\frac{1}{3}[/tex]

This given function is a linear function, because its variables have one as exponent, we can also say that its variables are linear.

This function, as a linear one, it's represented as a line.

Additionally, the form of this function is called slope-intercept form as

[tex]f(x)=mx+b[/tex]

Where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

So, in this case

[tex]m=-\frac{2}{9}[/tex] and [tex]b=\frac{1}{3}[/tex]

Therefore, the y-intercept of the given function is

[tex]b=\frac{1}{3}[/tex]

The horizontal line segment at the top of the polygon on the grid below is how many units long?​

Answers

Answer:

6 units long.

Step-by-step explanation:

Given:

A polygon drawn on a graph.

In order to determine the distance of the horizontal line at the top, we find the coordinates of the end points and then use distance formula to find the exact distance.

Let us label the polygon as ABCD as shown below. AB is the length of the horizontal line.

Coordinates of A are [tex](x_1,y_1)=(-3, 4)[/tex] as seen in the graph.

Coordinates of B are [tex](x_2,y_2)=( 3, 4)[/tex] as seen in the graph.

Now, distance formula  for two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d_{AB}=\sqrt{(3-(-3))^2+(4-4)^2}\\d_{AB}=\sqrt{(3+3)^2+0}\\d_{AB}=\sqrt{36}=6\ units[/tex]

Therefore, the horizontal line at the top is 6 units long.

Answer:

6 units long

Step-by-step explanation:

brainly patrol what is wrong with that

This pair of figures is similar. Find the missing side.​

Answers

Answer:

x=2

Step-by-step explanation:

so if the bigger one is 16 and the other one is 4 that means you need to multiply 4 by 4 to get 16 so to find x you need to divide the 8 by 4 to find your answer

Answer:

x = 2

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{x}{8}[/tex] = [tex]\frac{4}{16}[/tex] ( cross- multiply )

16x = 32 ( divide both sides by 16 )

x = 2

What are some math equations that end up making the answer being 209

Answers

Answer:

Step-by-step explanation:

(0^209 + 1(209)/(209))^0 + 208

csc^2x – 5 csc x = 0

Answers

The solutions are [tex]\(x = n\pi\) and \(x = \sin^{-1}(1/5)\).[/tex]

To find the solutions for [tex]\( \csc^2x - 5\csc x = 0 \)[/tex], we can factor the expression:

[tex]\[ \csc x (\csc x - 5) = 0 \][/tex]

This equation is satisfied when either [tex]\(\csc x = 0\) or \(\csc x - 5 = 0\)[/tex].

1. For [tex]\(\csc x = 0\)[/tex], we know that [tex]\(\csc x\)[/tex] is the reciprocal of the sine function, and sine is 0 at multiples of [tex]\(\pi\)[/tex]. Therefore, [tex]\(x = n\pi\)[/tex] where n is an integer.

2. For [tex]\(\csc x - 5 = 0\)[/tex], solving for [tex]\(\csc x\)[/tex] gives [tex]\(\csc x = 5\)[/tex], and the sine of an angle is the reciprocal of its cosecant. Therefore, [tex]\(x = \sin^{-1}(1/5)\).[/tex]

In summary, the solutions are [tex]\(x = n\pi\) and \(x = \sin^{-1}(1/5)\).[/tex]

The complete question is probably:

What are the solutions for \( \csc^2x - 5\csc x = 0 \)?

Cos(theta)= -.9041, 180degress< theta <270degress

Answers

Answer:

[tex]\theta=205.298^o[/tex]

Step-by-step explanation:

We know

[tex]cos\theta=-.9041[/tex]

in the third quadrant [tex]180^o<\theta<270^o[/tex]

We use a scientific calculator to find the inverse cosine of -0.9041 to find

[tex]\theta=154.702^o[/tex]

Since this angle is not in the required quadrant we must find the other angle who has the same cosine. The required angle is equidistant from the found value from the 180 degrees angle, so our solution is

[tex]\theta=180^o+(180^o-154.702)=205.298^o[/tex]

Following a translation, the measures of the angles in a pre-image are congruent to the measures of the corresponding angles in its image.

True

False

Answers

The answer for this one question is very easy. It is true
The answer is True
it didn’t change shape there for doesn’t change angles

A beauty salon buys bottles of styling gel for 4.50 per bottle and marks up the price by 40% By how much does the price go up.

Answers

Answer:

It goes up my $1.80

Step-by-step explanation:

You multiply $4.50 by 0.40 and you get 1.80 and that’s how much it goes up by

What is the y-intercept of y = 5?

Answers

Answer:

Y- intercept is 5!

In recent year 34% of all college students were enrolled part time if 6.1 million college students were enrolled part time that year what was the total number of college students

Answers

The total number of college students was 17.94 million.

Step-by-step explanation:

Percentage of part time students = 34%

Number of part time students = 6.1 million

Let,

x be the total number of students

According to statement,

34% of x = 6.1 million

[tex]\frac{34}{100}x=6.1\ million\\0.34x=6.1[/tex]

Dividing both sides by 0.34

[tex]\frac{0.34x}{0.34}=\frac{6.1}{0.34}\\x=17.94\ million[/tex]

The total number of college students was 17.94 million.

Keywords: percentage, division

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The ____ value of a digit is based on its location.

Answers

Answer:

place

Step-by-step explanation:

Answer:

The answer is " Place value"

Step-by-step explanation:

The place value determines the value of the digit in a number, based on its position.

A standard form number is divided into groups of three digits using commad. Each of these groups is called a period.

a punch recipe calls for equal amounts of orange and pineapple juice. pineapple juice comes in 6 ounce cans and orange juice comes in 10 ounce cans what is the least amount of each kindof juice that can be mixed with out having any left over?​

Answers

Answer:

0.6 ounces

Step-by-step explanation:

A class of 32 consists of students who either have red or yellow shirts if there are 12 more people with red shirts in there are people with yellow shirt many students have red shirt

Answers

Answer:

22 people with red shirts and 10 people with yellow shirts

Triangle DEF (not shown) is similar to ABC shown, with angle B congruent to angle E and angle C congruent to angle F. The length of side DE is 6 cm. If the area of ABC is 5 square centimeters, what is the area of DEF ?

Answers

Answer:

Area of ΔDEF is [tex]45\ cm^2[/tex].

Step-by-step explanation:

Given;

ΔABC and  ΔDEF is similar and ∠B ≅ ∠E.

Length of AB = [tex]2\ cm[/tex] and

Length of DE = [tex]6\ cm[/tex]

Area of ΔABC = [tex]5\ cm^2[/tex]

Solution,

Since, ΔABC and  ΔDEF is similar and ∠B ≅ ∠E.

Therefore,

[tex]\frac{Area\ of\ triangle\ 1}{Area\ of\ triangle\ 2} =\frac{AB^2}{DE^2}[/tex]

Where triangle 1 and triangle 2 is  ΔABC and  ΔDEF respectively.

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

[tex]\frac{5}{Area\ of\ triangle\ 2} =\frac{2^2}{6^2}\\ \frac{5}{Area\ of\ triangle\ 2}=\frac{4}{36}\\ Area\ of\ triangle\ 2=\frac{5\times36}{4} =5\times9=45\ cm^2[/tex]

Thus the area of  ΔDEF is [tex]45\ cm^2[/tex].

Find percent increase, round to the nearest percent

From 24 teachers to 225 pencils

Answers

Answer: 838% to the nearest percent

Step-by-step explanation:

225 - 24 =201

=201/24 * 100

= 838% to the nearest percent

Assume that µ = 500 and s = 100. Your study shows a sample of size 22 with a mean of 530 and standard deviation of 113. a. What is the most powerful test to use to test the hypothesis that the mean of the sample was drawn from the above Null Hypothesis Population? b. What is the value of the test statistic? c. What do you conclude using a = 0.052 tail?

Answers

Answer:   using t - test value is 1.37<2.08( At 0.05 level of significance)

        The mean of the sample was drawn from the population.

Step-by-step explanation:

Here sample size n=22

Given sample mean =530

Given population mean   =500

[tex]t=\frac{sample mean-µ}{\frac{S}{\sqrt{n-1} } }[/tex]

given sample standard deviation s=100

a) null hypothesis:-  The mean of the sample was drawn from the population   µ =500

Alternative hypothesis:-

The most powerful test you can use is t - distribution.

The test statistic is  

[tex]t=\frac{sample mean- µ}{\frac{S}{\sqrt{n-1} } }  

here S is the standard deviation of the sample

b)  The value of the test statistic

           [tex]t=\frac{sample mean- µ}{\frac{S}{\sqrt{n-1} } }  

substitute given values sample size n=22

sample mean =530

sample standard deviation s =100

mean of the population µ =500

the calculated value of t =[tex]\frac{530-500}{\frac{100}{\sqrt{22} } }[/tex]

                      the calculated value=1.3748

c) The degrees of freedom =n-1 = 22-1 = 21

     The table value of t are 0.05 level of significance with 21 degrees of freedom is 2.08

       The calculated value 1.37<2.08

∴ we accept null hypothesis at 0.05 level of significance

conclusion:-

The mean of the sample was drawn from the  population.

Final answer:

A t-test is the most powerful test for this hypothesis. The test statistic value is calculated using t = (X - µ) / (s / √n). Based on a significance level of 0.05, we can conclude by comparing the calculated t-value with the critical t-value from t-distribution table.

Explanation:

The subjects of this question are hypothesis testing and statistics.

To answer your question: a) The most powerful test to use to test your hypothesis is the t-test for single mean. This is because you have one sample mean, one hypothesized population mean, and the population standard deviation is not known.

 

b) The value of the test statistic can be calculated using the formula: t = (X - µ) / (s / √n), where X is the sample mean, µ is the population mean, s is the sample standard deviation, and n is the sample size. Plugging in your values, the formula becomes t = (530 - 500) / (113/ √22).

 

c) With a = 0.05, we conclude by comparing the calculated t-value with t-distribution table (df = 22-1 = 21). If the calculated t-value exceeds the critical t-value from the t-distribution table, we reject the null hypothesis.

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By what number should -15 raise to -1 be divided so that the quotient may be equalto -15 raise to -1

Answers

Answer:

[tex](-15)^{-1}[/tex] must be divided by 1 in order to have the quotient as [tex](-15)^{-1}[/tex]

Step-by-step explanation:

Given:

Dividend = [tex](-15)^{-1}[/tex]

Quotient =  [tex](-15)^{-1}[/tex]

We notice that the dividend and the quotient are equal. This means the divisor is 1.

By identity property of 1, any number divided by 1 is equal to the same number or the quotient of a number divided by 1 is equal to the number itself.

So, we can write this as:

[tex]\frac{(-15)^{-1}}{1}=(-15)^{-1}[/tex]

Thus [tex](-15)^{-1}[/tex] must be divided by 1 in order to have the quotient as [tex](-15)^{-1}[/tex] (Answer)

Georgia's baby brother weighed less than 11 pounds when he was born. Which of the following could be the number of ounces Georgia's baby brother weighed? Select two that apply.
A
156 ounces

B
170 ounces

C
186 ounces

D
190 ounces

Answers

Answer:

Step-by-step explanation:

B :because 11 pound in Ounces is 176

Determine whether the following statements are true or false. If false, explain why.

1) Point (3,2) to (3,-2) is a reflection over the y-axis.


2) A(1,3) to A'(-1,3) is a reflection over the y-axis


Answers

Answer:

see the explanation

Step-by-step explanation:

we know that

The rule of the reflection of a point across the y-axis is equal to

(x,y) -----> (-x,y)

The rule of the reflection of a point across the x-axis is equal to

(x,y) -----> (x,-y)

so

Verify each statement

1) Point (3,2) to (3,-2) is a reflection over the y-axis.

The statement is false

Because, is a reflection over the x-axis

A reflection over the y-axis will be

(3,2) -----> (-3,2)

2) A(1,3) to A'(-1,3) is a reflection over the y-axis

The statement is true

SOS PLEASE HELP so I don't fail math

Answers

Answer:

2 years ago :/

Step-by-step explanation:

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At their coffee house, Jason and Jill have built a(n)a)market cultureb)goal-driven agendac)bureaucracy cultured)clan culturee)adhocracy culture In the market for bank credit a large bank sometimes announces a change in interest rates. After the changes in interest rates are announced, other banks in the industry usually react by changing their rates in the same way. This is an example of__________.A. a cartel.B. monopolistic competition.C. implicit collusion.D. the kinked demand curve model Which of these excerpts from Carl Sandburg's "Three Boys with Jugs of Molasses and Secret Ambitions" uses repetition? Question 1 with 1 blank Vicente y Mnica tienen sueo. Question 2 with 1 blank No tenemos razn. Question 3 with 1 blank El pasajero tiene miedo. Question 4 with 1 blank Paloma se quiere casar con (marry) su novio. Question 5 with 1 blank Los abuelos de Irene van de vacaciones a Puerto Rico. Question 6 with 1 blank No s (I don't know) si el examen va a ser fcil o difcil. One of the greatest pioneers of motion photography, Eadweard Muybridge, wasfamously known for the studies ofanda. humans and animalsb. trains and automobilesc. sailboats and planes An individual with untreated type II diabetes has 400mg/100ml plasma glucose. Which of the following statements about this individual is INCORRECT?-This individual will exhibit glucosoria-This person's rate of glucose filtration will be greater that the rate of glucose reabsorption-This person's SGLT carriers have reached saturation-This person's rate of glucose excretion will be greater than the rate of glucose filtration Modifying your personal action plan can impede personal fitness goals. true or false A human being can be electrocuted if a current as small as 48 mA passes near the heart. An electrician working with sweaty hands makes good contact with the two conductors he is holding. If his resistance is 2100 , what might the fatal voltage in volts be? Cold case detectives are investigating a homicide that took place 30 years ago. In reexamining the evidence, they find a tiny spot of blood on the victims clothing that was likely left by the murderer. The DNA in the blood has partially degraded over time. What technique(s) would the blood lab technicians use in their examination of this tiny, degraded blood sample? Select all that apply. A) They would use a restriction enzyme and DNA ligase to make recombinant DNA from this sample. B) They would use PCR to amplify the DNA. C) They would use reverse transcriptase-polymerase chain reaction (RT-PCR) to determine the genes expressed in this DNA. In 2018, Morley, a single taxpayer, had an AGI of $30,000 before considering the following items: Loss from damage to rental property ($6,000) Loss from theft of bonds (3,000) Personal casualty gain 4,000 Personal casualty loss (after $100 floor) (9,000) The personal casualties occurred in a Federally-declared disaster area. Determine the amount of Morley's itemized deduction from the losses. (A) $2,900 (B) $5,600 (C) $5,120 (D) $0 (E) None of these choices are correct. Consider the reaction directly below and answer parts a and b. C6H4(OH)2 (l) + H2O2 (l) C6H4O2 (l) + 2 H2O (l) (a) Use the following information to calculate DH for the above reaction. Show all work. DH C6H4(OH)2 (l) C6H4O2 (l) + H2 (g) +177.4 kJ H2 (g) + O2 (g) H2O2 (l) -187.8 kJ H2 (g) + O2 (g) H2O (l) -285.8 kJ(b) Based on your answer to part a, above, would heat be gained or lost by the surroundings as the reaction at the very top of the page occurred at standard conditions? (c) How many kilojoules of heat are given off when 20.0 g of H2O (l) are produced at standard conditions according to the reaction at the very top of the page? Show all work. Water flowing through a cylindrical pipe suddenly comes to a section of the pipe where the diameter decreases to 86% of its previous value. If the speed of the water in the larger section of the pipe was 32 m/s what is its speed in this smaller section if the water behaves like an ideal incompressible fluid? Two pipes can fill a tank in 19 minutes if both are turned on. If only one is used, it would take 49 minutes longer for the smaller pipe to fill the tank than the larger pipe. How long will it take for the smaller pipe to fill the tank? (Round your answer to the nearest tenth.)