which statement must be ture?

Which Statement Must Be Ture?

Answers

Answer 1

Answer:

3. m/ABC > m/C

Step-by-step explanation:

Angle ABC is greater than the angle C


Related Questions

A school is arranging a field trip to the zoo. The school spends 546.53 dollars on passes for 40 students and 3 teachers. The school also spends 351.60 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?

Answers

There are $21.5 money was spent on a pass and lunch for each student.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that:

The amount spent by school on pass of 40 students and 3 teachers = $546.53

And, the amount spent for the lunch only for students = $351.60

Now,

The money spent for pass of 43 person = $546.53

Then, The amount of pass for each person  = 546.53/43

                                = $12.71

Since, there are 40 student then amount of lunch for each students = ⇒ 351.60/40

⇒ $8.79

Therefore, amount of pass and lunch for each student = 12.71 + 8.79

                              = $21.5

Thus, $21.5 is the required answer.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Rufus has collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25 pounds each week. In how many weeks will Rufus have a total of 400 pounds of cans?

Answers

Answer: 12

Step-by-step explanation:

What does 43,589 + 12,641 equal

Also, what does
63,274+ 97,047 and what does 41,805- 26,426 equal and my last question what does 82,004-11,534

Equal

Answers

Answer:

1st one is 160,321

2nd one is 15,379

3rd one is 70,470

Step-by-step explanation:

63,274+ 97,047 = 160,321

41,805- 26,426 = 15,379

82,004-11,534 = 70,470

A bakery used `25\%` less butter this month than last month.



The bakery used `240` kilograms of butter this month.



How much did it use last month?

Answers

In linear equation, The amount of butter used is an illustration of equivalent ratio.

The amount of butter used last month is 300kg.

What is  a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                           The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Because the bakery used 25% more last month, the amount they used is then calculated using

     Amount = ( 1 + 25%) * last month

Substitute 240kg for Last Month

  Amount = ( 1 + 0.25) * 240

Remove brackets

Amount = 1.25 * 240kg

              = 300 kg

Hence, the amount of butter used last month is 300kg.

Learn more about linear equation

brainly.com/question/11897796

#SPJ1


Tires A mechanic checked the tire pressures on each car that he worked on
for one week. The random variable x represents the number of tires that
were underinflated.
0
P(x) 0.30
1
2
0.25 0.25
3
0.15
4
0.05

Answers

The expected value for the given problem is E(x) = 1.4.

What is expected value?

The expected value is a generalization of the weighted average in probability theory. Informally, the expected value is the arithmetic mean of a significant number of outcomes of a random variable that were independently chosen.

A projected average value for an investment at some point in the future is known as the expected value (EV).

Investors use expected value to gauge an investment's merit, frequently in relation to how risky the investment is.

The formula for to find the expected value is given as,

E ( X ) = μ = ∑ x P ( x ) .

E(x) =  0*0.30 + 1*0.25 + 2*0.25 + 3*0.15 + 4*0.05

E(x) = 1.4

Hence, the expected value for the given problem is E(x) = 1.4.

To learn more about expected value, click on the link

https://brainly.com/question/14723169

#SPJ1  

Please help if possible.

Answers

Answer:

$1020.00000$1020.15050$1020.18436$1020.19742$1020.20078

Step-by-step explanation:

You want to find the effect of compounding 2% annual interest on $1000 at different intervals for a year. The intervals are ...

1 per year4 per year12 per year52 per year365 per year

Calculator

The attached calculator display shows the result:

yearly: $1020.00000quarterly: $1020.15050monthly: $1020.18436weekly: $1020.19742daily: $1020.20078

Matthew Westhoven deposited $925 in a new regular savings account that earns 5.5% interest compounded semiannually for 1 year. What is the compound interest?

Answers

The compound interest received by Matthew Westhoven is $51.80

What is compound interest?

The interest you earn on interest is known as compound interest. Simple math may be used to demonstrate this: if you have $100 and it generates 5% interest annually, you will have $105 at the end of the first year. You'll have $110.25 after the second year is over.

Given, the principal amount (P) = $925

Compound interest percentage (r) = 5.5% = 0.055

Time period (t) = 1

Since, it is semiannually compounded (n) = 2*t = 2

Amount (A) = P(1 + r/n)^nt

= 925(1 + 0.055/2)^2

= 925(1.0275)^2

= 925(1.056)

= 976.80

Thus, Interest amount (CI) = A - P

= $976.80 - $925

= $51.80

The compound interest received by Matthew Westhoven is $51.80

To know more about compound interest visit:

brainly.com/question/14295570

#SPJ1

Mikaela purchased a paddleboard originally priced at $699. If all merchandise was on sale for 40% off and the state tax rate is 7. 25%, what is the total amount that mikaela spent on the paddleboard?.

Answers

The total amount that Mikaela spent on the paddleboard will be  $449.80.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths.

As per the given,

Original price = $699

The selling price = $699 - 40% of $699

⇒ $699 - 0.40 x $699 = $419.4

The state tax (assuming it applied to the selling price) will be as,

7.25% of $419.4 = (7.25/100) x 419.4 = $30.4065

Final amount = $419.4 + $30.4065 = $449.80

Hence "Mikaela will have spent $449.80 in total on the paddleboard".

For more about the percentage,

brainly.com/question/13450942

#SPJ1

member c: works 7 hours per week at $7.25 per hour member d: works 9 hours per week at $6.35 per hour a. a and b b. a and c c. b and c d. b and d

Answers

Only member B and D will reach their goal.

Given;

Amount to be saved = $285

Total time to save money = 5 weeks

Now,

For member A:

Working hours = 8 per week

per hour earnings = $6.15

Therefore,

The total amount collected

= working hours per week × Total weeks × Earning per hour

= 8 × 5 × 6.15

= $246

For member B:

Working hours = 10 per week

per hour earnings = $5.85

Therefore,

The total amount collected

= working hours per week × Total weeks × Earning per hours

= 10 × 5 × 5.85

= $292.5

For member C:

Working hours = 7 per week

per hour earnings = $7.25

Therefore,

The total amount collected

= working hours per week × Total weeks × Earning per hours

= 7 × 5 × $7.25

= $253.75

For member D:

Working hours = 9 per week

per hour earnings = $6.35

Therefore,

The total amount collected

= working hours per week × Total weeks × Earning per hours

= 9 × 5 × $6.35

= $285.75

Since, the amount earned by member B and D is greater than the goal amount and the amount earned by member A and C is less than the goal amount

therefore,

Only member B and D will reach their goal

Learn more about Solving equations here:

https://brainly.com/question/28405823

#SPJ4

Your question is incomplete. Please find the missing content below:

To be able to go on the band trip, four band members each get a part-time job. Each person has 5 weeks in which to save his or her money. Analyze the four individual plans below and decide which of the four people will reach his or her goal of saving $285? Member A: Works 8 hours per week at $6.15 per hour Member B: Works 10 hours per week at $5.85 per hour Member C: Works 7 hours per week at $7.25 per hour Member D: Works 9 hours per week at $6.35 per hour

Find the lengths of segments AD and BD. Then check your answers using a different method.

Answers

Answer:  BD = 5

Step-by-step explanation:

Using the Pythagorean theorem [tex]a^{2} + b^{2} =c^{2}[/tex] where c is the hypotenuse, we can solve for BD

[tex]a^{2} +12^{2} =13^{2}[/tex]

[tex]a^{2} =13^{2}-12^{2}[/tex]

[tex]a = \sqrt{25}[/tex]

[tex]a = 5[/tex]

Therefore BD = 5

14x+17.5<−66.5 can you guys help me

Answers

Answer: < -6

Step-by-step explanation:

What is the distance between points m and n? meters

Answers

Answer: 9.8

Step-by-step explanation:

What are the slope and Y intercepted of the relationship?

Answers

The slope of the equation 10x+5y-15=0 is -2 and the y-intercept is 3.

What is the slope-intercept form of the line?

The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y-intercept (0, b). In the formula, b represents the y value of the y-intercept point.

To find the slope of the equation, we need to put it in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

To do this, we can first divide both sides of the equation by 5 to get:

2x + y - 3 = 0

Then, we can add 3 to both sides to get:

y = -2x + 3

Now comparing the equation with y = mx + c, we can say that

the slope is -2 and the y-intercept is 3.

Hence, the slope of the equation 10x+5y-15=0 is -2 and the y-intercept is 3.

To learn more about the slope-intercept form of the line, visit:

https://brainly.com/question/25722412

#SPJ1

HELP PLEASEEEE ASAP
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $29,521. The variable costs will be $12 per book. The publisher will sell the finished product to bookstores at a price of $25.25 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Answers

Answer:

2,228

Step-by-step explanation:

Each unit will make 13.25 in profit before incorporating the one time cost. This means that 29,521/13.25= the amount needed to break even.

It's a mean and median frequency table
Pls answer

Answers

a) The mode is 2.

b) 32 Students were there altogether.

c) 15 dinners were served during the week.

d)The mean number of dinners is 2.5.

What is mode?

This refers to the value that appears most often in a set of data values.

What is mean?

This refers to the average of the given set of numbers. It is calculated by dividing the sum of given numbers by the total number of numbers.

Given in the question:

a)The number of school dinners 2 has a frequency of 12.

Hence, the mode is 2.

b) To calculate the number of students altogether, we add then frequencies

Total number of students = 0 + 8+ 12 + 6+ 4 + 2

Total number of students = 32

c) To get the number of dinners served during the week, we add the number of dinners together.

Number of  dinners served during the week= 0 + 1 + 2 + 3 + 4 + 5

Number of  dinners served during the week = 15

D) The mean number of dinners =

1+1+1+1+1+1+1+1+2+2+2+2+2+2+2+2+2+2+2+2+3+3+3+3+3+3+4+4+4+4+5+5

                                                32

The mean number of dinners = 80

                                                    32

The mean number of dinners = 2.5

Learn more about frequency table on

https://brainly.com/question/17080440

#SPJ1

Help I don’t understand this

Answers

Answer:

A

Step-by-step explanation:

the the direction of the graph is increased that means slope of the graph is positive.


7. Use the Division Property of Equality to write an equation that is
equivalent to 5x = 14.

Answers

Answer: x = 14/5 or x = 2.8

Step-by-step explanation:

Step 1: Divide both sides of the equation by five: a common nonzero real number.

(5x)/5= 14/5

Step 2: Simplify

x = 14/5

For what values of x, y, and z is this a parallelogram?

Answers

The values of x = 19.5, y= 17, and z=30.6 is not valid for the parallelogram.

What are the Properties of Angles of a Parallelogram?

A parallelogram is a quadrilateral with equal and parallel opposite sides. There are some special properties of a parallelogram that make it different from the other quadrilaterals.

The opposite angles of a parallelogram are congruent (equal). All the angles of a parallelogram add up to 360°. All the respective consecutive angles are supplementary.

The consecutive angles are supplementary then,

5y + 7y - 24 = 180

12y = 180 + 24

12y = 204

y = 204/12

y = 17

The opposite angles of a parallelogram are congruent (equal) then,

5y = 4x + 7

5(17) = 4x + 7

85 = 4x + 7

85 -7 = 4x

4x = 78

x = 78/4 = 19.5

x = 19.5

the consecutive angles are supplementary, then

4x + 7 + 3z = 180

4(19.5) + 7 + 3z = 180

78 + 7 + 3z = 180

85 + 3z = 180

3z = 180 - 88

3z = 92

z = 92/3

z = 30.6

All the angles of a parallelogram add up to 360°, then:

4x + 7 + 3z + 5y +7y - 24 = 360

To check is this a parallelogram? put the values of x, y, and z in the above equation:

4(19.5) + 7 + 3(30.6) + 5(17) +7(17) - 24 = 360

356.8 ≠ 360

hence, the values of x = 19.5, y= 17, and z=30.6 is not valid for the parallelogram.

To learn more about the Properties of Angles of a Parallelogram visit,

https://brainly.com/question/29782038

#SPJ1

Find the inverse of f(x) = 2(x-2) ^2 +1
Find the inverse of y = ^3√x-3

Answers

Answer:

f^-1(x) = 2(x-2)^2 + 1

f^-1(x) = (x+3)^3

Step-by-step explanation:

The inverse of a function is found by switching the roles of the dependent and independent variables. In other words, we can find the inverse of a function by interchanging the x and y values in the equation. So, the inverse of the function f(x) = 2(x-2)^2 + 1 can be written as f^-1(x) = 2(x-2)^2 + 1.

1. To find the inverse function explicitly, we can use the following steps:

2. Replace f(x) with y in the original function to obtain y = 2(x-2)^2 + 1.

3. Solve for x in terms of y to obtain x = +/- sqrt((y-1)/2) + 2.

The inverse function f^-1(x) can then be written as f^-1(x) = +/- sqrt((x-1)/2) + 2.

Note that this inverse function is not a one-to-one function, because for some values of x (namely, x < 1), the function has two possible values of y (i.e. it has two solutions). Therefore, the inverse function is not a function in the strict mathematical sense, but it is still a useful concept in certain contexts.

To find the inverse of a function, we switch the roles of the dependent and independent variables, so the inverse function can be written as x = ^3√y-3.

1. To find the inverse function explicitly, we can use the following steps:

2. Replace y with x in the original function to obtain x = ^3√y-3.

3. Solve for y in terms of x to obtain y = (x+3)^3.

The inverse function can then be written as f^-1(x) = (x+3)^3.

Note that this inverse function is a one-to-one function, meaning that for every value of x, there is only one corresponding value of y. Therefore, the inverse function is a function in the strict mathematical sense.

Determine the perimeter of the right triangle shown. Round your final answer to the nearest whole number, if necessary.

Answers: 7 units
14 units
25 units
26 units

Answers

answer : 26

steps

get hypotenuse

a² + b² = c²

7² + 8² = c²

49 + 64 = c²

113 = c²

square root of c is √113 which 10.63

7 + 8 + 10.63 = 25.63

Given the side measures, which of the following could form a right triangle?

A. 61 m, 60 m, 11 m
B. 24 in, 34 in, 28 in
C. 55 ft, 45 ft, 35 ft
D. 48 cm, 46 cm, 15 cm​

Answers

The side measures that could form a right triangle are B (24 in, 34 in, 28 in) and C (55 ft, 45 ft, 35 ft).

What is the right triangle is triangle?

A right triangle is a triangle in which one angle measures 90 degrees. The sides of a right triangle can be used to determine if a triangle is a right triangle using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Using this information, we can determine which of the given sets of side measures could form a right triangle:

A. 61 m, 60 m, 11 m: We can use the Pythagorean theorem to see if these sides could form a right triangle. We'll let the hypotenuse be the side with a length of 61 m, and the other two sides are the ones with lengths of 60 m and 11 m. Plugging these values into the Pythagorean theorem, we get:

(61 m)² = (60 m)² + (11 m)²

61² = 60² + 11²

61² ≠ 60² + 11²

Since the left side does not equal the right side, these sides cannot form a right triangle.

B. 24 in, 34 in, 28 in: Using the Pythagorean theorem, we can see that these sides could form a right triangle:

(34 in)² = (24 in)² + (28 in)²

34² = 24² + 28²

34² = 24² + 28²

The left side equals the right side, so these sides could form a right triangle.

C. 55 ft, 45 ft, 35 ft: Using the Pythagorean theorem, we can see that these sides could form a right triangle:

(55 ft)² = (45 ft)² + (35 ft)²

55² = 45² + 35²

55² = 45² + 35²

The left side equals the right side, so these sides could form a right triangle.

D. 48 cm, 46 cm, 15 cm: Using the Pythagorean theorem, we can see that these sides could not form a right triangle:

(48 cm)² ≠ (46 cm)² + (15 cm)²

48² ≠ 46² + 15²

Since the left side does not equal the right side, these sides cannot form a right triangle.

Hence, The side measures that could form a right triangle are B (24 in, 34 in, 28 in) and C (55 ft, 45 ft, 35 ft).

To learn more about the right triangle is triangle visit,

https://brainly.com/question/1248322

#SPJ1

For which situation does one quantity change at a constant rate per unit interval relative to another quantity?

Responses

For every day that passes, a person drives 54 miles.
.
For every month that passes, a savings account earns interest at a rate of 1.5%


For every week that passes, a vine doubles in length 2 times a week.

.

For every year that passes, a population of insects increases by 6%

Answers

Answer:

  (a)  For every day that passes, a person drives 54 miles

Step-by-step explanation:

You want to know the situation in which one quantity changes relative to another at a constant rate.

Driving

The rate of change is described as 54 miles for each day. This is a constant rate of change. Miles relative to days are described by a linear function.

Savings

We assume the description means that the balance in the savings account increases by 1.5% with each passing month. While this interest rate is a constant, the amount by which the balance changes each month is not constant. The balance relative to time is described by an exponential function.

Vine

If the vine doubles in length twice a week, its length increases by 300% each week. As with savings, this growth rate is constant, but the amount of growth each week is not. The length of the vine is described by an exponential function.

Population

As with savings, this growth rate is constant, but the amount of increase each year is not. The population is described by an exponential function.

The situation with a constant rate of change is ...

  For every day that passes, a person drives 54 miles.

__

Additional comment

When the quantity is graphed, the "rate of change" refers to the slope of the curve on the graph. The graph of an exponential growth function does not have a constant slope, but has a slope that increases exponentially.

<95141404393>

need help! can't figure it out :/​

Answers

Answer:

please tell me if you get the answer. I need it too!

A quadratic function has roots at 2 and 4 and a vertex at (3, −2). What is the equation of the function in vertex form?

Answers

Answer:

Step-by-step explanation:

Sonny has 2x + 3 dollars. Allan has 6x + 4 dollars. How much money did Sonny have if they both had $407 all together?

Answers

Answer:

$103

Step-by-step explanation:

In order to determine how much money Sonny has, we need to write a mathematical equation to solve for x. We know how much money Sonny and Allan each have in terms of x, and we can add the two expressions together to equal a total amount of $407. This will be represented and simplified as follows:

2x + 3 + 6x + 4 = 4078x + 7 = 407

Now we can solve the equation for x.

8x = 400x = 50

We know that x is equal to 50, so we can plug it back into Sonny's expression to find out how much money she has.

2(50) + 3 = 100 + 3 = 103Sonny has $103.

We can check our work by solving for the amount of money Allan has and then adding up the two amounts to make sure the total is $407.

6(50) + 4 = 300 + 4 = 304CHECK: $103 + $304 = $407

Which of the following statements is correct for a triangle?
A. triangle can have two obtuse angles
B.The difference of two sides of a triangle is greater than any other side of the same triangle.
C.A triangle can have an obtuse angle and a right angle.
D.None of these

Answers

The correct statement is D.none of these

on the number line, the distance between x and y is greater than the distance between x and z. does z lie between x and y on the number line?

Answers

yes, z can lie between x and y but z can also lie on another side of x in Number lines.

With an example, define number line?

Number lines in mathematics are horizontal straight lines on which numbers are arranged in equal intervals.

                  A number line can be used to visualize all the numbers in a succession. The endpoints of this line go on forever.

What does the math number line mean?

A horizontal line with uniformly spaced numerical increments is called a number line. How the number on the line can be answered will depend on the numbers that are provided.

                               How a number is used—for example, to plot a point—depends on the question that goes with it.

Learn more about  number line

brainly.com/question/13425491

#SPJ4

You mix 1 fourth cup of crisp wheat cereal with 1 1 half cups of crisp rice cereal. Find and interpret the value of the ratio of crisp wheat cereal to crisp rice cereal.

The amount of crisp wheat cereal is _____ the amount of crisp rice cereal

Response:

Answers

Answer:

The value of the ratio of crisp wheat cereal to crisp rice cereal is 1/4 to 1 1/2, which can be simplified to 1/4 to 3/2. This means that for every 4 parts of crisp wheat cereal, there are 3 parts of crisp rice cereal. The amount of crisp wheat cereal is therefore less than the amount of crisp rice cereal. Specifically, the amount of crisp wheat cereal is 1/4 * the amount of crisp rice cereal.

Step-by-step explanation:

By identifying the vertical asymptote, one can determine the denominator of this
function is

Answers

The denominator of function is -x/2 - 1 and vertical asymptote  x = -2.

What is vertical asymptote?

A vertical line that is not a part of the function's graph but serves as a guide is known as a vertical asymptote. Because it occurs at an x-value outside of the function's domain, the graph cannot cross it. There may be more than one vertical asymptote for a function.

Given graph

the function of graph is F(x) = [tex]2\frac{\left(-\frac{x}{2}\ +\ 1\right)}{\left(\frac{x^{2\ }}{4}-1\right)}[/tex] = 2(1- x/2)/(x²/4 - 1)

reducing the equation

F(x) = 2/(-x/2 - 1)

denominator is -x/2 - 1

for  vertical asymptote -x/2 - 1 = 0

x  = -2

Therefore for function is -x/2 - 1 and  vertical asymptote at x  = -2.

Learn more about vertical asymptote;

https://brainly.com/question/4084552

#SPJ1

how to find the standard deviate and variance of a discrete random variable in ap stats organic chem tutor

Answers

Calculation the variance and standard deviation of the discrete random variable is given by σ² = [tex]\frac{\sum\limits^n_1{(x_{i}-\bar{x}) } \,}{n-1}[/tex] and standard deviation is the square root of Variance 'σ' = [tex]\sqrt{\frac{\sum\limits^n_1{(x_{i}-\bar{x}) } \,}{n-1}}[/tex].

As given in the question,

Variance is used to represent the dispersion of the values in the data from the calculated mean.[tex]( x_{i} - \bar{x})[/tex] represent the dispersion of the given data values from the mean.Variance is given by σ² = [tex]\frac{\sum\limits^n_1{(x_{i}-\bar{x}) } \,}{n-1}[/tex] Standard deviation is the square root of the variance it represents the amount of dispersion of all the given data values.Standard deviation is given by 'σ' = [tex]\sqrt{\frac{\sum\limits^n_1{(x_{i}-\bar{x}) } \,}{n-1}}[/tex].

Therefore , the variance and standard deviation of the discrete random variable is calculated with the help of the following formulas:

Variance 'σ²' = [tex]\frac{\sum\limits^n_1{(x_{i}-\bar{x}) } \,}{n-1}[/tex]  and standard deviation  'σ' = [tex]\sqrt{\frac{\sum\limits^n_1{(x_{i}-\bar{x}) } \,}{n-1}}[/tex].

Learn more about variance here

brainly.com/question/14116780

#SPJ4

Other Questions
Which of the following is an example of an endothermic process?Select the correct answer below:a. melting ice cubesb. burning sugarc. a candle burningd. condensation of rain from water vapor some cranial nerves are only sensory in function. their function is to relay sensory information to the brain for interpretation. select the sensory cranial nerves from the list below. Write a quadratic function in standard form whose graph has a vertex of (2, 6) and passes through the point (4, 10) . Which political concept was included in the Mayflower Compact?Select one:consent of the governedrule of lawcivil rights and libertiesreasons for social control what is equivalent to (325)13 If you roll a fair die, what is the probability you will roll a 5 or a number less than 3? you walk to the subway station for your morning commute. given that you always leave your apartment at the same time, there is a probability of 1/2 that you will wait 3 minutes for the train and a probability of 1/2 that you will wait 7 minutes for the train. find the expected value of your wait time Which of the following represents the least value?1/3 of 1,2121/5 of 1,21225% of 1,21230% of 1,212 mike intentionally leaves out the details regarding the actual costs associated with a project so that he can get the project approved by his manager. mike's misrepresentation illustrates , a barrier to effective communication. Currently, the iMAC is an important product for Apple. While the personal computer market is not growing very quickly, Apple maintains a large share___cash cow If a plane can travel 480 miles per hour with the wind and 380 miles per hours against the wind, find the speed of the wind and the speed of the plane in still air if a client's primary goal in making lifetime gifts to his children is to lower his estate taxes, he should make gifts of property that: what is the best research method for answering the following research question: are there differences in levels of anxiety experienced by college freshmen compared to college sophomores? After a snowstorm in the town of Golden Glen, the morning temperature was 10F. But by the afternoon, the temperature had risen by 17F. Which statement most accurately reflects the colonists Reactions to British policies Select the mechanism(s) where the concentration of the nucleophile or base has no effect on the reaction rate. a.E1 b.E2 c.SN2 d.S1 A jury convicted two defendants for crimes involving the transportitaliens. After the trial was over, the federal judge in the case enforced a court rulethat prohibited anyone from interviewing any juror, relative, friend, or associateof the juror regarding the deliberations or verdict of the jury unless the personcan show good cause. Two weeks after the verdict, a newspaper publisher andreporter filed a motion to get permission to interview the jurors for a news story.The court denied the motion.The publisher and reporter filed a lawsuit, claiming that they have a right underfreedom of the press to gather news and that the denial of access to interview thejurors violates that constitutional right.The court defends its ruling and its order not to grant permission by stating that,like other First Amendment rights, the right to gather news is not absolute. Thepurpose of prohibiting interviews of the jury is to protect jurors from annoyanceand harassment. Additionally, freedom of debate and independence of thoughtwould be stifled if jurors were made to feel that their arguments and ballots wereto be freely published to the public.The law requires that restrictions of the press's news-gathering rights must bejustified by a compelling governmental interest and narrowly tailored to servethat interest.1. Who is the plaintiff?2. Who is the defendant?3. What does the plaintiff want?4. What does the defendant want?5. What is the issue in this case?What arguments does the plaintiff make? 1. Nexis Corp. issues 1,000 shares of $15 par value common stock at $22 per share. When the transaction is recorded, credits are made toa.Common Stock, $7,000, and Paid-In Capital in Excess of Stated Value, $15,000b.Common Stock, $15,000, and Paid-In Capital in Excess of ParCommon Stock, $7,000c.Common Stock, $22,000 The sentiments such as those depicted in the cartoon above most directly contributed to which of the following? (Sumner-Brooks cartoon) a) Shashwat obtained an average marks of 15 in 3 subjects. When the marks obtained in another subject is also included, the average marks is increased by 1. Find the marks obtained in the fourth subject.