Evaluate the following expression (-3)^-2

Answers

Answer 1
Answer: the fraction 1/9

It is approximately equal to 0.1111

=================================

To get this answer, we use the rule

\(x^{-k} = \frac{1}{x^k}\)

The negative exponent tells us to apply the reciprocal to get the exponent to be positive.

So,

\((-3)^{-2} = \frac{1}{(-3)^2}\\\\(-3)^{-2} = \frac{1}{9}\)

Squaring -3 means you square the negative as well

\((-3)^2 = (-3)*(-3) = 9\)

Answer 2

Answer:

1/9

Step-by-step explanation:

(-3)^-2 would be better written as (-3)^(-2).

                                                                                       1

(-3)^(-2) would be easier to evaluate if written as -------------

                                                                                   (-3)^2

The final answer is 1/9.


Related Questions

What is 1 with an exponent of 0?

Answers

Answer:

1

Step-by-step explanation:

Anything (besides 0) to the 0 power is 1.

Brian pays £465.98 a year on his car insurance.
The insurance company reduces the price by 3.6%.
How much does the insurance cost now?
Give your answer rounded to 2 DP.

Answers

Answer:

ok so if he pays 465.98 and we want to find the price if we reduce it by 3.6 we can multiple it by

465.98*0.964=

449.20472

so now we round to two points to get

449.21

200 meters
60 meters
60 meters
200 meters
Karl, the lifeguard, decides to walk the perimeter of the pool. How long is the
perimeter of the pool?

Answers

Answer:

520 m

Step-by-step explanation:

Perimeter is the distance around a shape. To find the perimeter, you add up all the sides.

200 + 60 + 60 + 200 = 520 m

Please help me out, right answers are favored ​

Please help me out, right answers are favored

Answers

Answer:

y<_19x-11

Step-by-step explanation:

<_ it means less than and equal too hope it helps

Experimentally Verify That The Base Angles Of An Isosceles Triangle Are Equal. (two figures of different measurements are necessary)​

Answers

Answer:

To experimentally verify that the base angles of an isosceles triangle are equal, we will need two isosceles triangles of different sizes.

Materials needed:

Two sheets of paper

Ruler

Pencil

Protractor

Scissors

Experiment:

Draw a large isosceles triangle on one sheet of paper by drawing a straight line at least 20 cm long. Then draw two additional lines from each end of the first line to meet at the top, forming an isosceles triangle. Label the base as "AB" and the other two sides as "AC" and "BC."

Measure and mark the midpoint of the base "AB."

Using a ruler, draw a perpendicular bisector through the midpoint of the base. This line should create two congruent segments.

Measure each angle formed by the intersection of the perpendicular bisector and the two sides of the triangle. Use a protractor to measure these angles.

Repeat steps 1-4 with a smaller isosceles triangle on the second sheet of paper. The smaller triangle should have a base of at least 10 cm and two sides of equal length.

Compare the measurements of the angles of both triangles. If the triangles are truly isosceles, then the two angles opposite the base (ACB) should measure the same in both triangles.

Cut out both isosceles triangles along their outlines.

Fold each triangle along the perpendicular bisector line drawn in step 3 so that the two congruent segments come together.

If the angles opposite the base are indeed equal, then the two sides of each triangle should match up perfectly when folded along the perpendicular bisector. If they do not match up, then the triangles are not truly isosceles.

By repeating this experiment with different sized isosceles triangles, we can verify that the base angles of any isosceles triangle are always equal.

Marrisa sold a total of 18,200 worth of clothing last week at her store.If her commision is 4% of sales,how much commisssion did she earn?

Answers

Answer:

She would earn 728 $ in commission

Step-by-step explanation:

help me get this right.

help me get this right.

Answers

Answer:

A. 5/2

Step-by-step explanation:

Can't be c or d since those are negative and b would have a much steeper slope rise over run is how you find side the two points connect by going up 5 and over 2

9. Determine the discriminant of 2x² - 6x + 7 = 0 and then state how many solutions there are; additionally,
state the nature of the solutions. Do not solve.

Answers

We need to find the nature of the roots of the quadratic equation 2x² - 6x + 7 = 0 , and need to find the Discriminant

Now ,as we know that the Discriminant of any quadratic equation of the form ax² + bx + c = 0 , is D = b² - 4ac

So now ;

\({:\implies \quad \sf D=(-6)^{2}-4\times 2\times 7}\)

\({:\implies \quad \sf D=36-56}\)

\({:\implies \quad \bf \therefore \quad \underline{\underline{Discriminant=-20}}}\)

Now , as D < 0 ,So nature of roots will be imaginary

Guys can you please help. I dont understand. Thank you. :))))

Lines AB and CD intersect at E. If the measure of angle AEC=5x-20 and the measure of angle BED=x+50, find, in degrees, the measure of angle CEB.

Answers

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

Find the area of this parallelogram.
12 inches
6 in.
7 in.
A. 42 inches
В.
42 square inches
O
C. 84 square inches
D. 72 square inches
O E. 72 inches

Answers

Answer:

it will be c

Step-by-step explanation:

 ¿Qué numero es mayor que -5/4?

-3/2

-1

-2

-3/4

Otros:​ me escriben cuál es

Answers

Answer:

10 /8es una fracción equivalente a5/4 15/12 y multiplica el número por un mis mo número y te saldrán infinitoss

Answer:

3/4 es mayor que -5/4 ..........

Professor Smith has a total of 250 students,
3/5

of whom are female. If x represents the number of female students, which of the following could be used to find the value of x?

Answers

Answer:

3.5=x/250

Step-by-step explanation:

The number of female students are 150.

Given that, professor Smith has a total of 250 students, 3/5 of whom are female.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Here, x represents the number of female students.

Now, x= 3/5 × 250

⇒ x = 3 × 50

⇒ x = 150

Therefore, the number of female students are 150.

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A pizza maker determined an annual profit in dollars
2
from selling pizzas using f(n) = 65n -0.04n² where
n is the number of pizzas sold. What is the annual
profit if the pizza maker sells 300 pizzas?

A. $18,500

B. $3,600

C. $7,800

D. $15,900

Answers

Answer:

Given, the annual profit equation is f(n) = 65n - 0.04n².

When the number of pizzas sold, n = 300, the annual profit will be:

f(300) = 65(300) - 0.04(300)²

= 19500 - 0.04(90000)

= 19500 - 3600

= $15,900

Therefore, the annual profit if the pizza maker sells 300 pizzas is $15,900. Answer: D.

Step-by-step explanation:

Can an empty set be a universal set?

Answers

Answer:

The empty set is defined as the complement of the universal set. That means where Universal set consists of a set of all elements, the empty set contains no elements of the subsets. The empty set is also called a Null set and is denoted by '{}'.

HOPE IT HELP YOU!

Answer:

The empty set is defined as the complement of the universal set. That means where Universal set consists of a set of all elements.

10x10x10 as a product of the same factor

Answers

Answer:

10^3

Step-by-step explanation

10 to the factor of 3

aka

10*10*10

PLEASE HELP ASAP WILL MARK BRAINLIEST
Part A
Which line best fits the data, l, m, or n? Why?
Part B
In the equation of a line, y = mx + b, what does b stand for? What is the value of b for the line of best fit?
Part C
In the equation of a line, y = mx + b , what does m stand for? What is the value of m for the line of best fit?
Part D
Now that you know m and b, what is the equation of the line of best fit?

PLEASE HELP ASAP WILL MARK BRAINLIESTPart AWhich line best fits the data, l, m, or n? Why?Part BIn the

Answers

Answer:

Part A:

Most of the data points are above line m. All of the data points are below line n. The data points are evenly distributed on either side of line l. Therefore, line l is the line of best fit for the data.

Part B:

For the line of best fit, the y-intercept is approximately  10  and the slope is approximately 2 .

Part C:

Y= 2x+10

Step-by-step explanation:

Part A:

Most of the data points are above line m. All of the data points are below line n. The data points are evenly distributed on either side of line l. Therefore, line l is the line of best fit for the data.

Part B:

To find the y-intercept of a line, identify where the line intersects the y-axis. Because the line of best fit is line l, the y-intercept is 10.

To find the slope, choose two points on line l, such as (10,30) and (30,70):

Part C:

To get the equation of the line, substitute the y-intercept, 10, for b and the slope, 2, for m.

Please give me the brainlliest crown Pls

Drag the tiles to the correct boxes to complete the pairs. Match the systems of equations with their solutions.

Answers

Answer:

See explanation for matching pairs

Step-by-step explanation:

Equations

(1)

\(x - y = 25\)

\(2x + 3y = 180\)  

(2)

\(2x - 3y = -5\)

\(11x + y = 550\)  

(3)

\(x - y = 19\)

\(-12x + y = 168\)

Solutions

\((-17,-36)\)

\((47, 33)\)

\((51, 26)\)

Required

Match equations with solutions

(1) \(x - y = 25\) and \(2x + 3y = 180\)

Make x the subject in: \(x - y = 25\)

\(x = 25 + y\)

Substitute \(x = 25 + y\) in \(2x + 3y = 180\)

\(2(25 + y) + 3y = 180\)

\(50 + 2y + 3y = 180\)

\(50 + 5y = 180\)

Collect like terms

\(5y = 180-50\)

\(5y = 130\)

Solve for y

\(y =26\)

Recall that: \(x = 25 + y\)

\(x = 25 + 26\)

\(x = 51\)

So:

\((x,y) = (51,26)\)

(2)  \(2x - 3y = -5\) and \(11x + y = 550\)

Make y the subject in \(11x + y = 550\)

\(y = 550 - 11x\)

Substitute \(y = 550 - 11x\) in \(2x - 3y = -5\)

\(2x - 3(550 - 11x) = -5\)

\(2x - 1650 + 33x = -5\)

Collect like terms

\(2x + 33x = -5+1650\)

\(35x = 1645\)

Solve for x

\(x = 47\)

Solve for y in \(y = 550 - 11x\)

\(y = 550 - 11 * 47\)

\(y = 550 - 517\)

\(y = 33\)

So:

\((x,y) = (47,33)\)

(3)

\(x - y = 19\)  and \(-12x + y = 168\)

Make y the subject in \(-12x + y = 168\)

\(y = 168 + 12x\)

Substitute \(y = 168 + 12x\) in \(x - y = 19\)

\(x - 168 - 12x = 19\)

Collect like terms

\(x -12x = 168 + 19\)

\(-11x = 187\)

Solve for x

\(x = -17\)

Solve for y in \(y = 168 + 12x\)

\(y =168-12 *17\)

\(y =-36\)

So:

\((x,y) = (-17,-36)\)

The Central Limit Theorem can also be used to investigate unusual events. An unusual event is one that occurs with a probability of less than ___%

Answers

The Central Limit Theorem can also be used to investigate unusual events. An unusual event is one that occurs with a probability of less than 1%

The Central Limit Theorem can be used to investigate unusual events by calculating the probability of a sample mean being a certain number of standard deviations away from the population mean.

If we assume that the population is normally distributed, then we can use the normal distribution to calculate the probability of observing a sample mean that is a certain number of standard deviations away from the population mean.

An unusual event is typically defined as an event that occurs with a low probability, usually less than 5% or 1%. So, if we observe a sample mean that is more than 2 standard deviations away from the population mean, we can say that this is an unusual event that occurs with a probability of less than 5%. Similarly, if we observe a sample mean that is more than 3 standard deviations away from the population mean, we can say that this is an unusual event that occurs with a probability of less than 1%.

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Sam walks 100 m north and then 100 m east. How far is she from her starting position? Give your answer to a sensible degree of accuracy.

Answers

Answer- 200m

: Right now Sam is 200m far from her starting point

Sam walks 100 m north and then 100 m east. How far is she from her starting position? Give your answer

__________ refer to the probabilities of the states of nature after revising the prior probabilities based on sample information.

Answers

The probabilities of the states of nature after revising the prior probabilities based on sample information are called posterior probabilities.

The concept of posterior probabilities is fundamental in Bayesian statistics, which is a branch of statistics that deals with probability distributions of parameters based on prior knowledge and observed data. In Bayesian statistics, the prior probability represents the degree of belief in a hypothesis before new data is collected. The posterior probability, on the other hand, represents the updated degree of belief in the hypothesis after new data is collected.

The posterior probability is calculated using Bayes' theorem, which relates the conditional probabilities of the hypothesis and the data. The formula for Bayes' theorem is:

posterior probability = (prior probability x likelihood) / evid

The likelihood represents the probability of observing the data given the hypothesis, while the evidence is a normalizing constant that ensures the posterior probability integrates to one.

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the intensity in the interference pattern of n identical slits is given by i=i0[sin(nϕ/2)sin(ϕ/2)]2.

Answers

The intensity in the interference pattern of n identical slits is given by the formula:

I = I₀ [sin(nϕ/2) sin(ϕ/2)]²

Here's a step-by-step explanation of the terms in this formula:

1. I is the intensity at a point in the interference pattern.
2. I₀ is the maximum intensity at the center of the pattern (i.e., when ϕ = 0).
3. n is the number of identical slits.
4. ϕ is the phase difference between the waves from adjacent slits at the point being considered.

To find the intensity at a specific point in the interference pattern, you need to know the values of I₀, n, and ϕ. Then, you can simply plug these values into the formula and calculate the intensity I.

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rectangle m is similar to rectangle n. which scale factor was used to dilate rectangle M rectangle n

rectangle m is similar to rectangle n. which scale factor was used to dilate rectangle M rectangle n

Answers

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

and this ratio is called the scale factor

so

In this problem

scale factor =12/18

Simplify

=6/9

=2/3

therefore

the answer is option C

mr. patrick teaches math to 15 students. he was grading tests and found that when he graded everyone's test except payton's, the average grade for the class was 80. after he graded payton's test, the class average became 81. what was payton's score on the test?

Answers

Mr. Patrick instructs 15 students in math. He discovered that Payton had received a 95 on the test while grading them from average.

There are 15 kids in Mr. Patrick's class. The average score on his most recent exam was 80 for 14 candidates (not including Payton).

I'm going to use x to represent the unknowable sum of the 14 test scores. Average is computed by adding all the numbers in the set (whose average you're trying to get) together, then dividing by the total number of numbers in that set.

This was the total of their scores: x=1120.

Adding Payton's score now (I'll use the letter p to stand in for her score):

1120+p /15=81→ Her test score was included in the fifteen students' average, which was 81 1120+p=1215

P=95.

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8. The graph is of a function in the form p(t) = a • bt. What is the function? (2 points

9. Use this function to estimate the boa constrictor population in 2 years, 3 years, and 4 years. (6 points: 2 points for each year, including 1 point for showing your work and 1 point for the answer)

t: Time in years
P(t): Estimated snake population at time t
2

3

4

10. What pattern do you see in years 2, 3, and 4? How is the snake population changing every year? (2 points

11. How is the snake population changing every two years? (1 point

Making a Decision:
12. Do you think the snake population can continue to grow in this way forever? Why or why not? (2 points)​

8. The graph is of a function in the form p(t) = a bt. What is the function? (2 points9. Use this function

Answers

9514 1404 393

Answer:

  8. p(t) = 5(2^t)

  9. 20, 40, 80

  10. doubles every year

  11. multiplies by 4

  12. no, it will soon exceed available habitat

Step-by-step explanation:

8. From the graph, a = p(0) = 5, and b = p(1)/p(0) = 10/5 = 2.

The function is ...

  p(t) = 5(2^t)

__

9. You can read the values from the graph: 2 years: 20; 3 years: 40; 4 years: 80.

If you insist on evaluating the function, you have ...

  p(2) = 5(2^2) = 5·4 = 20

  p(3) = 5(2^3) = 5·8 = 40

  p(4) = 5(2^4) = 5·16 = 80

__

10. The population doubles each year.

__

11. In 2 years, the population doubles twice, so is multiplied by 4.

__

12. No. Exponential functions don't last long in the real world. Eventually, required resources run out. In 15 years, there would be 163,840 snakes; in 20 years, there would be 5.2 million snakes; in 40 years, there would be 5.5 trillion snakes, about 44 snakes for every acre of land on earth (including polar areas).

You please help me with the second part i need it to pass this by friday

You please help me with the second part i need it to pass this by friday

Answers

The inequality formed is x + 6 > 20 and Julie will sell more than 14 items after the first Week

What is inequality ?

A relationship between two expressions or values that is not equal to one another is referred to as "inequality" in mathematics.

According to the given information

Let x be the more items that Julie will sell after First week

Number of items soled in First week = 6

So

The inequality formed will be

x + 6 > 20

Solving the inequality is

x > 20 - 6

x > 14

So

The inequality formed is x + 6 > 20 and Julie will sell more than 14 items after the first Week

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Suppose a simple random sample of five hospitals is to be drawn from a population of 20 hospitals. There are 15,504 different samples of size 5 that can be drawn. The relative frequency distribution of the values of the mean of these 15,504 different samples would specify the ________ of the mean. Group of answer choices sampling distribution confidence level confidence interval normal distribution

Answers

The relative frequency distribution of the values of the mean of these 15,504 different samples would specify the sampling distribution of the mean.

What does the relative frequency distribution of the values of the mean of the 15,504 different samples specify?

The sampling distribution of the mean refers to the distribution of sample means obtained from repeated sampling from the same population.

In this case, we have 15,504 different samples of size 5 drawn from a population of 20 hospitals.

Each sample has its own sample mean. The relative frequency distribution of these sample means would specify the sampling distribution of the mean.

The sampling distribution of the mean is important in statistics because it allows us to make inferences about the population mean based on the distribution of sample means.

It helps us understand the variability of sample means and provides a basis for constructing confidence intervals and conducting hypothesis tests.

Therefore, the relative frequency distribution of the mean values from the different samples would describe the characteristics of the sampling distribution of the mean..

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Solve the equation-
\( \frac{5}{x - 3} - \frac{4}{x + 4} = \frac{1}{x} \)

Answers

Hello studentUnion!

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

Solve the equation-

\( \frac{5}{x - 3} - \frac{4}{x + 4} = \frac{1}{x} \\ \)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \frac{5}{x - 3} - \frac{4}{x + 4} = \frac{1}{x} \\ \)

Let's multiply both the sides of the equation by x (x - 3) & (x + 4) which is the LCM of (x - 3), (x + 4) & x. We can't solve it directly without taking the LCM first as the denominators are not equal to each other. Then do cross multiplication. After all these steps, you'll get an equation as..

\(x\left(x+4\right)\times 5-x\left(x-3\right)\times 4=\left(x-3\right)\left(x+4\right) \\ \)

Now, use the distributive property & simplify it.

\(x\left(x+4\right)\times 5-x\left(x-3\right)\times 4=\left(x-3\right)\left(x+4\right) \\ \left(x^{2}+4x\right)\times 5-x\left(x-3\right)\times 4=\left(x-3\right)\left(x+4\right) \\ 5x^{2}+20x-x\left(x-3\right)\times 4=\left(x-3\right)\left(x+4\right) \\ 5x^{2}+20x-\left(x^{2}-3x\right)\times 4=\left(x-3\right)\left(x+4\right) \\ 5x^{2}+20x-\left(4x^{2}-12x\right)=\left(x-3\right)\left(x+4\right) \\ 5x^{2}+20x-4x^{2}+12x=\left(x-3\right)\left(x+4\right) \\ x^{2}+20x+12x=\left(x-3\right)\left(x+4\right) \\ x^{2}+32x=\left(x-3\right)\left(x+4\right) \\ x^{2}+32x=x^{2}+x-12 \\ x^{2}+32x-x^{2}=x-12 \\ 32x=x-12 \\ 32x-x=-12 \\ 31x=-12 \\ \boxed{ \boxed{ \bf \: x=-\frac{12}{31} }}\)

The value of x is -12/31.

__________________

Hope it'll help you!

ℓu¢αzz ッ

Answer:

\(\frac{5}{x-3} -\frac{4}{x+4} =\frac{1}{x}\)

\(\frac{5(x+4)-4(x-3)}{(x-3)(x+4)} =\frac{1}{x} \\\)

\(\frac{5x+20-4x+12}{(x-3)(x+4)} =\frac{1}{x}\)

\(\frac{x+32}{(x-3)(x+4)} =\frac{1}{x}\)

Use Cross multiplication

\(x(x+32)=(x-3)(x+4)\)

\(x^{2} +32x = x^{2} +4x-3x-12\)

\(x^{2} +32x=x^{2} +x-12\)

\(x^{2} +32x-x^{2} -x=-12\)

\(31x = -12\)

\(\frac{31x}{31} =\frac{-12}{31} \\x = \frac{-12}{31}\)

Hope this helps you.

Let me know if you have any other questions :-)

The adjacent figure HOPE is a parallelogram. Find the angle measures x, y and z. State the properties you use to find them.​

The adjacent figure HOPE is a parallelogram. Find the angle measures x, y and z. State the properties

Answers

Answer:

y=40°

Z + Y = 70°

z. = 70°-40°

z. = 30°

POH=X

=180-70

=110°

maximize B=5xy^2 where x and y are positive numbers such that x+y^2=8
the Max value of B is ?

Answers

The maximum value of B is 80.

1. We are given the expression B = 5xy² and the constraint x + y² = 8.

2. We need to find the maximum value of B by optimizing the variables x and y.

3. To solve this problem, we can use the method of Lagrange multipliers.

4. Let's define the Lagrange function L(x, y, λ) as L(x, y, λ) = B - λ(x + y² - 8).

5. Taking the partial derivatives of L concerning x, y, and λ, we have:

  ∂L/∂x = 5y² - λ

  ∂L/∂y = 10xy - 2λy

  ∂L/∂λ = -(x + y² - 8)

6. Setting the partial derivatives equal to zero, we get the following equations:

  5y² - λ = 0    ...(1)

  10xy - 2λy = 0  ...(2)

  x + y² = 8     ...(3)

7. From equation (1), we can solve for λ in terms of y:

  λ = 5y²    ...(4)

8. Substituting equation (4) into equation (2), we have:

  10xy - 2(5y²)y = 0

  10xy - 10y³ = 0

  10y(x - y²) = 0

9. From the above equation, we have two possibilities:

  i) 10y = 0, which implies y = 0.

  ii) x - y² = 0, which implies x = y².

10. If y = 0, then from equation (3), we get x = 8.

11. If x = y², then substituting this into equation (3), we have:

   y² + y² = 8

   2y² = 8

   y² = 4

   y = ±2

   If y = 2, then x = (2)² = 4.

   If y = -2, then x = (-2)² = 4.

12. We have three potential solutions: (x, y) = (8, 0), (4, 2), and (4, -2).

13. Finally, substitute each of these solutions into the expression B = 5xy² and find the maximum value of B:

   B = 5(8)(0)² = 0

   B = 5(4)(2)² = 80

   B = 5(4)(-2)² = 80

14. Therefore, the maximum value of B is 80.

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Complete the statement ABC~ ? By which postulate or
theorem are the triangles similar?
A) AKN; SSS~ C) ANK; SAS~
B) AKN; SAS~ D) ANK; AA~

Complete the statement ABC~ ? By which postulate ortheorem are the triangles similar?A) AKN; SSS~ C)

Answers

Answer:

option b is the correct answer I am expecting

Other Questions
compare specific and non specific responses Por qu el hombre dice que los zapatos son peligrosos? Explain the concept of mutual funds. include the characteristics ofmutual funds. Given that the sec A = 13/5 and A is in QIV, determine exact value for the sin A. Changing environmental conditions, such as temperature or pH, can affect enzyme shape. How would this alter the enzyme's function? For the stock of Kaylynn's Knobby Kitchen, PLC., the next 3 annual dividends have been forecasted (consensus) as : $3.76,$3.48, and $3.31. If the terminal growth rate is 2.7%, and the cost of equity is 17.7%, what is the price TODAY? Select one: a. $14.69 b. $30.40 c. $25.72 d. insufficient information to determine e. $29.80 f. $21.64 g. $7.74 If you could travel anywhere, where would you travel and why? Suppose that we plan to use ANOVA to research the effect of study technique (no study, practice exams only, all materials) on exam performance (0-100 points) using a sample of 100 U.S.F. business majors. TRUE OR FALSE: In practice (i.e., in the real world, with real clients) we must verify that 1) exam performance is Normally distributed for each study technique and 2) the variance/spread in exam performance is the same for each study technique. quizlit distinguish sounds versus sound waves. explain the properties associated with sound waves, including the influence of its medium on its speed. Decorative handwriting called __________ is an important art form in both China and Japan. A. cursive B. origami C. calligraphy D. penmanship A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree find the original height of the tree a line had an x-intercept of 0. what is the y-intercept? A sixth-grade class recorded the number of letters in each student's first name.The results are shown in the dot plot.A dot plot titled lengths of student names show the number of students with a certain number of letters in their name. The data is as follows. 1 dot above 3, 2 dots above 4, 4 dots above 5, 7 dots above 6 and 7, 3 dots above 8, 1 dot above 9, 2 dots above 10, and 3 dots above 11.Which is the best representation of the center of this data set? A. 8 B. 5 C. 7 D. 6 suppose turkey starts welcoming foreign investment with open arms. specifically, it raises its interest rate to attract investors. how is this policy likely to affect the value of the turkish lira? discuss the credit/debit effect on the corresponding account type, and use the increase or decrease in supply or demand to explain the valuation change, appreciation or depreciation, of turkish lira. The population of Texas is 29,000 this year and is increasing at 4% per year. what will the population be next year A current-carrying loop of wire is placed in a uniform b-field as shown. If the direction of the current of the loop is as indicated, what will the loop do?. Find the distance points I NEED HELP ON QUESTION 2 write a letter to your friend telling him/her about your plan after Grade 12? The half-life of Carbon-14 is approximately 5,700 years. Using this information scientists have been able to determine the age of some artifacts left by humans. A scientist wants to know approximately how old a piece of wood was that she found on the floor in an old cave that had recently been discovered. She removed the wood (with permission) to her laboratory. Her wood sample contained 2 grams of Carbon-14. If the age of the wood was determined to be 22,800 years old, how much Carbon-14 originally existed in this piece of wood