Tiffany ate 1/4 of a pizza. If there were 16 slices of pizza to begin with, how many slice did Tiffany eat?

If the price elasticity of demand is greater than 1, demand is said to be elastic, and if it is less than 1, demand is said to be inelastic.

If the elasticity of demand is equal to 1, the demand is said to be unit elastic. Given, the demand function for smart phones is given by: `Q(P) = A * P^a`

Price elasticity of demand is given by: `e = (dQ/dP) * (P/Q)`

Differentiating `Q(P) = A * P^a` w.r.t `P`,

we get:`dQ/dP = a * A * P^(a-1)`

Putting the value of `dQ/dP` in the formula for price elasticity,

we get:e = `a * A * P^(a-1)` * `(P/Q)`

Let's substitute `Q(P)` in the above expression: e = `a * A * P^(a-1)` * `(P/(A * P^a))`

Simplifying, we get: e = `a * A * P^(a-1)` * `(1/P^a)`

e = `a * (A/P^a)`

Price elasticity of demand is the measure of the responsiveness of demand to a change in price. If the price elasticity of demand is greater than 1, demand is said to be elastic, and if it is less than 1, demand is said to be inelastic. If the elasticity of demand is equal to 1, the demand is said to be unit elastic. Here, the price elasticity is equal to `1-a` everywhere along the curve. Since `a > 1`, the price elasticity of demand will always be less than 1. Therefore, demand for smart phones is inelastic everywhere along the curve.

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Answer:

$113.08

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r/m)^mn

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

m = number of compounding

14,000(1.12)^2 =  17,561.60

14,000 ( 1 + 0.12/2)^(2x2) = 17674.68

Difference :  17674.68 -   17,561.60 = $113.08

The quadratic equation that represents the solution is F: p(x) = x² - 49.

The term "quadratic" refers to functions where the highest degree of the variable (in this example, x) is 2. A quadratic function's graph is a parabola, which, depending on the sign of the leading coefficient a, can either have a "U" shape or an inverted "U" shape.

Algebra, geometry, physics, engineering, and many other branches of mathematics and science all depend on quadratic functions. They are used to simulate a wide range of phenomena, including population dynamics, projectile motion, and optimisation issues.

Given that the solution of the quadratic function are x = -7 and x = 7 thus we have:

p(x) = (x + 7)(x - 7)

Solving the parentheses we have:

p(x) = x² - 7x + 7x - 49

Cancelling the same terms with opposite sign we have:

p(x) = x² - 49

Hence, the quadratic equation that represents the solution is F: p(x) = x² - 49.

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Answer:

9

Step-by-step explanation:

first you add up all the numbers 9+7+11+8+10=45

then you divide by the amount of numbers there are so in this case 5 so you would do 45÷5=9 hope this helps

Answer:

See below    ( MIGHT choose (-2,+2)  but it is incorrect)

Step-by-step explanation:

DOMAIN is the values of 'x' a function can have  

NONE of the answers are correct

  it should be   (-3,+3)   <=====not an option

Answer:

Y/6 = x

Step-by-step explanation:

Y = 6x

Y/6 = x

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

Explanation:

For each row, divide the earnings over the sales.

All of these decimal values have the following conversions to percentages

If we add up those percentages and divide by 4, we get the average percentage

(3.27+2.85+3.08+2.90)/4 = 3.025

So the average percentage of these four is 3.025%

So for instance, if you made $1000 in sales, then 0.0325*1000 = 32.50 would be the estimated earnings.

A good estimate in my opinion is the equation c = 0.0325d since 3.025% converts to the decimal form 0.0325

Another method you could use is linear regression to help estimate. Though this method is a lot more complicated involving many more steps. It's better to use technology (eg: graphing calculator) if you go this route. The linear regression line is approximately y = 0.02896x + 2.00732; we can see the slope 0.02896 isn't too far off from 0.0325. Other forms of regression are possible as well.

Answer: C

Step-by-step explanation:

15x3=45 so that means you would have to multiply 20 by 3 so 20x3=60

Answer:

0.5806

Step-by-step explanation:

Out of a group of 145 students that were surveyed about sports, 31 said they play basketball and 59 said they play soccer. 18 of the students who said they play basketball said they also play soccer. If a student is chosen at random, find the probability. P (Soccer |Basketball).

Solution:

P(soccer) = number of students playing soccer/ total number of students.

P(soccer) = 59/145

P(basketball) = number of students playing basketball/ total number of students.

P(basketball) = 31/145

P(soccer and basketball) = number of students playing soccer and basketball/ total number of students.

P(soccer and basketball) = 18/145

From Bayes theorem:

P(A | B) = P(A ∩ B) / P(B)

Hence:

\(P(soccer|basketball)=\frac{P(soccer\cap baketball)}{P(basketball)}=\frac{\frac{18}{145} }{\frac{31}{145} } =0.5806\)

Answer:

2 teaspoons for the two frozen cookies

3/4 a cup for the cooking oats

2 cups for the flour

Step-by-step explanation:

First Question

The recipe makes 18 cookies. Divide the cookies by 9, half of the batch, to get 2. Now all you have to do is devide the amount of vanilla extract by 9, it will give you two teaspoons.

1 and 1/2 devided by two since you're devidng the recpie by two to get 9 cookies. A cup is four so 3/4 plus 3/4 equals 6/4. Simplified it'd be 1 and 1/2 or 1 and 2/4.

The recipe already calls for 1 and 1/2 a dozen. All you're doing is multiplying the recipe b two to get 3 dozen cookies. Now focusing our attention to the flour, there is 1 cup for 1 and 1/2. Multiply 1 by 2 since there is already half of the recipe here. 1 and 1/2 + 1 and 1/2 is 3 so there'd be 2 cups. Basically just double the recipe.

Answer:

3/4 but if its in decimal form then 0.75

Step-by-step explanation:

(a) Is this an observational study or an experiment?

ans=Observational study – no treatment was imposed

(b) What are the explanatory and response variables?

ans=explanatory – time spent in child care from birth to age 4 response – adult rating of children’s behavior

d) Does this study show that child care causes children to be more aggressive? Explain.

No. Observational studies cannot show cause-and-effect

Researchers=someone whose job is to study a subject carefully, especially in order to discover new information or understand the subject better: She is a leading researcher in the field.

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The probability that a high school junior will take between 173 and 190 minutes to complete the SAT exam is 0.2982.

The given problem involves a uniform distribution where the time it takes for high school juniors to complete the SAT exam is uniformly distributed between 126 and 183 minutes. We need to find the probability that a junior will take between 173 and 190 minutes to complete the exam.

To solve this problem, we need to find the area under the probability density function (PDF) curve for the given range of values. Since the distribution is uniform, the PDF is a horizontal line with a height of 1/(183-126) = 1/57, and the area under the curve for the given range can be found by multiplying the height of the PDF with the width of the range:

Probability = height * width = (1/57) * (190-173) = 0.2982

Therefore, the probability that a high school junior will take between 173 and 190 minutes to complete the SAT exam is 0.2982.

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Answer:

B

Step-by-step explanation:

step

Below are some authorial techniques that can be used to create mystery, tension, or surprise in literature.

Order of events: The order in which events are presented can create a sense of mystery or suspense.

Pacing: The pace of a story can also be used to create suspense. A slow-paced story can build tension by allowing the reader to dwell on the details of a situation, while a fast-paced story can create excitement and surprise by keeping the reader guessing what will happen next.

Structure: The structure of a story can also be used to create mystery, tension, or surprise. For example, a story that is told in flashback can create a sense of mystery by revealing information about the past that is relevant to the present.

Time manipulation: The manipulation of time can also be used to create suspense.

Language: The language that an author uses can also be used to create mystery, tension, or surprise. For example, an author might use vague or ambiguous language to create a sense of mystery, or use strong language to create a sense of tension or surprise.

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hi

Slope is 2 .  

here is how you do the trick :  by reading on the graph

if you go forward of  1 on the X axis , how much did the line goes up or down ?  

Here at  0  on  X- axis, we are at 0 on the Y- axis.

If you go forward of  1 on X axis, you are at 2 on Y axis.  

So the slope is  + 2

Other technique by calculus  between two points.  

Take two diffents  point on the X axis.   Call them A and B  

Slope is  :   (  f(A) -f(B) )     /  A-B

exemple here :   we have two easy points . Take 0  as  A  and  1 as  B

We read on the graph :  

A = 0  and B = 1

f(A)= 0  and f(B) = 2

Now we apply  formula :    

(  f(A) -f(B) )     /  (A-B )

(0 -2 )  / (0-1)  =  -2/-1 =  2

Slope is 2

Easy, dont you think ?

Answer:

y= x+1/2, (-4,1)

y= x+6, (-1,-3)

y= x - 9, ( 0,0)

Solution for the question 2 :

It is given that ,

The population after n years is given by exponential function ,

Population after 9 years is calculated as,

Thus the population after 9 years is 956 .

Step-by-step explanation:

The number of cups of red paint is always 15 of the total number of cups. 0.2 of the total number of cups.

She writes the equation r = 15t (r = 0.2t) to describe the relationship.

In this case, the total no. of cups is an independent variable. No. of cups do not depend on any term.

The number of cups of red paint is a dependent variable as it depends on the number of cups.

Answer:

(4, 3)

Step-by-step explanation:

Plug in x - 1 where y is. The equation will turn in 2x - 3(x - 1) = -1. Distribute, and you'll have 2x -3x + 3 = -1. Combine like terms (2x and -3x) and you'll have -x + 3 = -1. Subtract 3 from both sides, and you'll have -x = -4. Divide by -x (or -1) on both sides, and you'll have x = 4. Since y = x - 1, y = 3, since 4 - 1 = 3. Sorry if this sounds repetitive btw. Good luck :D

Three out of six questions that you can ask about the statistical validity of a bivariate correlation are: All the statistical validity questions do not apply in the same way when bivariate correlations are represented as bar graphs because statistical validity questions address issues of internal validity (causality) rather than issues of external validity (generalizability).

Statistical validity questions are concerned with establishing whether the relationship between the two variables is likely to be a true relationship or just a chance occurrence. Statistical validity can be assessed by determining whether the correlation coefficient is statistically significant (i.e., whether the relationship observed is likely to be a true relationship or just a chance occurrence) and the strength of the correlation.

Statistical significance testing requires a large sample size, and as a result, the correlation coefficient may be statistically significant even if the effect size is small. Therefore, it is important to consider both statistical significance and effect size when evaluating the statistical validity of a bivariate correlation.

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Step-by-step explanation:

Angle FAB = Angle BHC = 48° (Z-angles)

By Exterior Angle Theorem,

Angle ABC = Angle BHC + Angle ECB.

=> Angle ABC = 48° + 18° = 66°.

Direct labor efficiency variance = $6,100 F.

Given that

Standard labor-hours per unit of output     8.5 hours

Standard labor rate                                     $12.30 per hour

Standard labor hours allowed                          6,800 hours (800 units *                                         8.5 hours allowed)

The following data pertain to operations concerning the product for the last month:

Actual hours worked  6,300 hours

Actual total labor cost  $74,970

Actual output                  800 units

We can determine the labor efficiency variance using the following equation:

1. Direct labor efficiency variance = (Standard hours allowed - Actual labor hours) * Standard rate

2. Direct labor efficiency variance = (6,800 hours - 6,300 hours) * $12.20

3. Direct labor efficiency variance = $6,100 F

The variance is favorable as the actual labor hours used are less than the standard hours allowed.

Hence the answer is Direct labor efficiency variance = $6,100 F.

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Answer:

15

Step-by-step explanation:

x - y = 10, then x = 10 + y

x + y = 20

substitute for x:

10 + y + y = 20

2y = 10

y = 5

x = 10 + 5 = 15

Answer:

a) 11x

b) x=14

Step-by-step explanation:

So we know that there are 2 shapes

a triangle and a rectangle

The area for a triangle is b*h/2

The area for a rectangle is L*W

Now we know the height and the base for the triangle and we know the length and width of the rectangle

So lets do the triangle first

So we know the height is 6 and the base is x.

Now 6*x is 6x.

And 6x/2 is 3x.

now we know that the triangle angle is equal to 3x

now the rectangle is 8*x

which is 8x

now we know the rectangle (8x)

now we add them up since it’s asking for the total area

Now its 11x

So thats part A, 11x is the expression

A expression is Without a equal sign and it’s used as a basic formula for he unknown variable

The equation now for part b is

11x=154

now that is the equation becuase we sole for x and we an use the previous expression becuase now we know what the area is.

now solve for x and you’ll get x=14.

Answer:

42.27

Step-by-step explanation:

6.5 + 5.3 + 5.3 + 7.1 + 9.7 + 1.0 + 8.0 =  42.27

Answer: it’s the third one

Step-by-step explanation:

It is

The expression that was not found for the pair of students is given as follows:

5x + 3.

To add or subtract polynomials, we must combine the like terms on the polynomials.

The polynomials for this problem are given as follows:

Hence the addition of these polynomials is given as follows:

3x + 4 - 2x - 1 = x + 3.

(addition keeps the signal of each term in the second polynomial).

The subtraction is given as follows:

3x + 4 + 2x + 1 = 5x + 5.

(subtraction changes the signal of each term in the second polynomial).

For the product, we multiply all terms then combine the like terms, hence:

(3x + 4)(-2x - 1) = -6x² - 3x - 8x - 4 = -6x² - 11x - 4.

5x + 3 is not a solution of any of the operations, hence it is the answer.

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Answer:

228m²

Step-by-step explanation:

Answer:

arc LM = 39°

arc MLN = 269°

Step-by-step explanation:

arc LM = 360° - 230° - 91° = 39°

arc MLN= 39° + 230° = 269°