what is the slope of (12 -18) (-15 -18)

Answers

Answer 1

Answer:

m = 0

Step-by-step explanation:

[tex]m=\frac{-18-(-18)}{-15-12)} \\m=\frac{0}{-27} \\m= 0/-27 = 0\\m=0[/tex]


Related Questions

Help me pls on math homework!!!!!

Answers

He sold 28 watermelons on Friday.

How to find the number of watermelons sold on Friday?

The number of watermelons sold during the entire week is of 60, hence we find the daily amounts and add them, and this has to reach 60. The daily amounts are given as follows:

Monday: x.Tuesday: 2x. (twice as many as Monday).Wednesday: 0.5x. (half as many as Monday).Thursday: 18.Friday: 6x + 4. (four more than twice the amount sold on Monday).

Hence the following equation is built, and we can solve for the unknown variable x as follows:

x + 2x + 0.5x + 18 + 6x + 4 = 60.

9.5x = 38

x = 38/9.5

x = 4

Then the amount sold on Friday is calculated as follows:

Friday = 6x + 4 = 6(4) + 4 = 24 + 4 = 28 watermelons.

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He sold 28 watermelons on Friday

What is the number of watermelons he sold on Friday?

The total number of watermelons sold for the whole summer week is 60

He sold x watermelons on Monday

On Tuesday, he sold twice the numbers sold on Monday: 2x

On Wednesday, he sold half the numbers sold on Monday: x/2

On Thursday, he sold 18

On Friday, he sold:

= 2(x+2x) + 4 = 2(3x) + 4 = 6x + 4

And we know that the total number of watermelons is 60. Therefore:

x + 2x + x/2 + 18  + 6x+4 = 60

9.5x + 22 = 60

9.5x = 60 - 22

9.5x = 38

x = 4

since the amount sold on Friday is  6x+4:

= 6 x 4 +  4

= 24 + 4 = 28

Therefore, he sold 28 watermelons on Friday

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after a 30% discount, Kay's sneakers cost $36, if she would have waited another week to buy them, they would have been on sale for 40% off the original price, how much more money could she have saved

Answers

Let the original price of sneakers be x.

Determine the original price of the sneakers.

7. Principal = $39,300, Rate = 4.5%, Time = 6 months. What will that total principal + interest payment be rounded to the nearest dollar? o Lidhe total amount of

Answers

Given :

Principal = $39,300,

Rate = 4.5% = 0.045

Time = 6 months = 6/12 year = 0.5 year

Assume simple interest

So,

interest = Principal * rate * time = 39,300 * 0.045 * 0.5 = 884.25

So, the total = Principal + interest = 39,300 + 884.25 = 40,184.25

Rounding the answer to the nearest dollar

So, the total = $40,184

which point lies on the line with the slope of m=7 that passes through the point (2,3)

Answers

Answer:

B. Monkey Man

Step-by-step explanation:

M+o+n+k+e+y

The angle of elevation to the top of a Building in New York is found to be 7 degrees from the ground at a distance of 1 mile from the base of the building. Using this information, find the height of the building.

_________ feet

Answers

The height of the building is 649.44 feet

Given,

The angle of elevation of the building from ground = 7°

The distance from base of the building to the angle = 1 mile

We have to find the height of the building:

As this information are  noted, we will get a right angled  triangle(image attached).

So, by trigonometry:

Tanθ = opposite side / adjacent side

here,

θ = 7 degree

opposite side = x

adjacent side = 1 mile

Then,

Tanθ = opposite side / adjacent side

tan(7°) = x / 1

x = tan(7°) × 1

x = 0.123 × 1

x = 0.123 miles

1 mile = 5280 feet

Then,

0.123 miles = 0.123 × 5280 = 649.44 feet

That is,

The height of the building is 649.44 feet.

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the sum of the angle measures of a polygon with n sides is given find n1440

Answers

Given in the question:

a.) The sum of all angles of a polygon is 1,440 degrees.

To be able to determine what polygon has a total sum of angles of 1,440 degrees, we will be using the following formula:

[tex]\text{ }\Theta=(n-2)x180^{\circ}[/tex]

We get,

[tex]\text{ 1},440^{\circ}=(n-2)x180^{\circ}[/tex][tex]\text{ 1},440^{\circ}=180n-360^{\circ}[/tex][tex]180n=1,440^{\circ}\text{ + 360}^{\circ}[/tex][tex]180n=1,800^{\circ}[/tex][tex]\frac{180n}{180}=\frac{1,800^{\circ}}{180}[/tex][tex]n\text{ = 10}[/tex]

Therefore, that polygon is a decagon or a polygon with 10 sides.

the diameter of the bagels 4.2 in what is the biggest circumference in inches

Answers

Diammeter = 4.2 inch

Radius = diammeter/2 = 4.2/2 =2.1 inch

[tex]\text{Circumference =2}\times\text{ }\pi\times r[/tex][tex]\begin{gathered} \pi\text{ = 3.14} \\ \text{Circumference = 2 }\times3.14\times2.1\text{ =13.188 inches} \end{gathered}[/tex]

pls help no need for no need for long explanations just a summary

Answers

As shown in the figure:

There are two parallel lines of the triangle

Using the ratio and proportional to find the value of x

So,

[tex]\begin{gathered} \frac{x}{6}=\frac{9}{2} \\ \\ x=6\cdot\frac{9}{2}=\frac{54}{2} \\ \\ x=27 \end{gathered}[/tex]

So, the answer is: x = 27

give a reason that justifies each statement for questions 4-9.

Answers

4.

The angles ∠6 and ∠8 are congruent because they are alternate interior angles.

5.

The angles ∠4 and ∠5 added are equal to 180° because they are supplementary angles.

6.

If ∠1 is equal ∠7, then they are alternate exterior angles, therefore the lines p and q need to be parallel.

7.

The angles ∠1 and ∠2 are congruent because they are vertically opposite angles.

8.

If ∠2 and ∠6 are supplementary, they are consecutive interior angles, therefore the lines p and q need to be parallel.

9.

The angles ∠6 and ∠9 are congruent because they are corresponding angles.

Find the percent of change from 120 bananas to 40 bananas.

Answers

Answer:

67% decrease

Explanation:

From the given problem:

Initial number of bananas = 120

Final number of bananas = 40

[tex]\begin{gathered} \text{Percent Change=}\frac{Final\text{ Value-Initial Value}}{\text{Initial Value}}\times100 \\ =\frac{40-120}{120}\times100 \\ =-\frac{80}{120}\times100 \\ =-0.667\times100 \\ =-66.7\% \\ \approx-67\% \end{gathered}[/tex]

Since we have a negative value, we have a 67% decrease.

mrs smith took her 3 kids and 3 of thejr friends to the Strawberry field. how many kids are there?

Answers

Mrs.Smith took : her 3 kids + 3 of their friends = 3 + ( 3x 3 ) = 12 kids

Answer:

There are 3 kids, and 3 friends.

3 + 3 = 6

there are a total of 6 kids.

Translate this phrase into an algebraic expression.Six less than the product of 13 and Mai's heightUse the variable m to represent Mai's height.

Answers

If m is the Mai's height you can write for the given description:

13m - 6

The previous expression means six less than the product of 13 and Mai's height.

For the function f(x) = x² + 2x - 24 solve the following.
f(x) = 0

Answers

For the function, f(x) =0, we have x = -6 and x =4

The given function is  f(x) = x² + 2x - 24

For f(x) = 0

f(x) = x² + 2x - 24 =0

x² + 2x - 24 =0

Middle Term Splitting is a method to solve quadratic equations of the form ax² + bx +c, In middle-term splitting, we split the middle term into the factors of the constant terms, then we take common multiples from the terms and then convert the equation into factors, we equate each factor to zero and we get the desired results.

By splitting the middle term, we have:

x² + 6x -4x - 24 =0

x( x + 6) -4(x+6) =0

( x + 6 ) ( x - 4 ) = 0

( x + 6 ) = 0 and ( x - 4 ) = 0

x = -6 and x = 4

Hence, for f(x) =0, we have x = -6 and x =4

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we need to seat 200 people. A table holds 8 people How Many tables do we need ?

Answers

Kyah, this is the solution to the exercise:

People = 200

Capacity of each table = 8 people

In consequence, we need:

Number of tables = People/Capacity of each table

Replacing by the values we know:

Number of tables = 200/8

Number of tables = 25

Shopping: Discounts Situation: You want to buy three books that are on sale at 20% off. The original prices of the books are $2.50, $4.95, and $6.00. How much will you save? Calculation With Distribution Calculation Without Distribution (Show all steps.) (Show all steps.) I think it is easier: to distribute. to not distribute. Why I Think it is Easier

Answers

Let's begin by listing out the information given to us:

Discount = 20%

Book prices: $2.50, $4.95, and $6.00

Taking discount with distribution, we have:

[tex]\begin{gathered} discount=0.2(2.50+4.95+6.00) \\ discount=0.5+0.99+1.2 \\ discount=\text{\$}2.69 \end{gathered}[/tex]

Taking discount without distribution, we have:

[tex]\begin{gathered} \text{Sum of books = 2.50 + 4.95 + 6.00 =13.45} \\ discount=0.2(13.45)=2.69 \\ discount=\text{\$}2.69 \end{gathered}[/tex]

I think it is easier to not distribute. This is because it reduces significantly the chances of numerical error in computing

HELP ME PLS!!!!!!!

Total consumption of fruit juice in a particular country in 2006 was about 2.15 billion gallons. The population of that country in 2006 was 400 million. What was the average number of gallons of fruit juice consumed per person in the country in 2006? using the per person amount from this problem, about how many gallons would your class consume?

Answers

Answer:

5.375 gallons/person

Step-by-step explanation:

Total consumption of fruit juice in 2006:

2.15 billion gallons

The population of the country:

400 million people.

Average consumption of fruit juice per person in 2006 was:

2.15 billion / 400 million = 2.15 × 10⁹ / 400 × 10⁶ = 21.5 × 10⁸ / 4 × 10⁸ = 21.5 / 4 = 5.375 gallons/person

To find how many gallons of fruit juice would your class consume multiply the average consumption by the number of your class mates.

on one side of the balance scale, Henry placed gram weight. on the other side of the scale, he placed a ballet slipper. how many milligrams does the slipper weigh?

Answers

Solution

Step 1

Convert gram to milligram

1 gram = 1000 milligram

Step 2

Find the answer

Assuming it is 1 gram weight on one side of the balance scale then, the ballet slippers will weigh 1 gram for the scale to be balanced.

I gram = 1000 milligram

Hence the ballet slippers will weigh 1000 milligrams

What is the seventy-seven is forty-six more than r

Answers

Answer: 77 = 46 + r, r = 31

Step-by-step explanation:

      We will write an equation to represent this situation. Then, we will solve for r by isolating the variable.

  Seventy-seven is forty-six more than r.

77 is forty-six more than r.

77 = forty-six more than r.

77 = 46 more than r.

  77 = 46 + r

  77 = 46 + r

(77) - 46 = (46 + r) - 46

31 = r

  r = 31

A radio announcer asked her listeners which type of music they preferred. The results are below. which answer choice lists the results from greatest to least perefence?F. 0.10, 25%, 0.20, 45/100G. 25%, 45/100, 0.20, 0.10H. 0.10, 0.20, 25%, 45/100J. 45/100, 25%, 0.20, 0.10

Answers

To compare the preferences is best to express them using the same form, for example, express all values as decimal values:

To express 25% as a decimal value you have to divide it by 100:

[tex]\frac{25}{100}=0.25[/tex]

To express the fraction 45/100 as a decimal value you have to divide 45 by 100

[tex]45\div100=0.45[/tex]

So, the observations expressed as decimal values are:

Rap 0.25

Norteno 0.45

Kazz 0.20

Tejano 0.10

Now that all numbers are on the same form you can order them from greatest to least. To do so, you have to compare the digit on the first decimal place, if the first digit is equal, you have to compare the digit on the second decimal place.

The number with the greatest decimal value is 0.45

Then you have 0.20 and 0.25 both have the same first digit, so you have to compare the second digits. "0" is less than "5" so, 0.20 is less than 0.25.

The least value is 0.10.

So ordered from greatest to least the values are:

[tex]\begin{gathered} 0.45;0.25;0.20;0.10= \\ \frac{45}{100};25\%,0.20;0.10 \end{gathered}[/tex]

The correct option is J.

Find a polynomial f(x) of degree 4 with real coefficients and the following zeros.3 (multiplicity 2) , -i

Answers

We are told that we want a polynomial f(x) with the given zeros.

Recall that if we know the zeros oa polynomial, we can write the polynomial by writing the factors (x - zero of the polynomial) and multiply them all together.

For example, if we want a polynomial of degree 2 with zeros at 2 and 3, then the polynomial would be

[tex](x\text{ -2)}\cdot(x\text{ -3)}[/tex]

In this case, we have a polynomial f(x) of degree 4. So far, we know that 3 is a zero and that -i is a zero. So we write the following

[tex]f(x)=(x\text{ -a)}\cdot(x\text{ -b)}\cdot(x\text{ -c) }\cdot\text{ (x -d)}[/tex]

where a,b,c and d are the zeros of f(x). We know that 3 is a zero and that -i is a zero. So we have

[tex]f(x)=(x\text{ -3)}\cdot(x\text{ -b)}\cdot(x\text{ -( -i)) }\cdot(x\text{ -d)}[/tex]

So to fully describe f(x) we need to find the values of b and d. We are told that 3 is a zero of multiplicity 2. This means that the factor (x -3) appears two times in the factorization of f(x). So we can say that b=3. So we have

[tex]f(x)=(x\text{ -3)}\cdot(x\text{ -3) }\cdot(x\text{ +i ) }\cdot(x-d)=(x-3)^2\cdot(x\text{ +i)}\cdot(x\text{ -d)}[/tex]

Now, we need to find the value of d. Note that we are told that -i is a zero of the function. -i is a complex number, so one important property of polynomials is that if a complex number a+bi is a zero of the polynomial, then the number a-bi (which is called the complex conjugate) is also a zero. Note that the complex conjugate of a complex number is calculated by leaving the real part intact and multiplying the imaginary part by -1.

In our case we have the complex number -i. So we can write -i= 0 - 1i . Then, its complex conjugate is i.

So, we have that d=i.

Then our polynomial would look like this

[tex]f(x)=(x-3)^2\cdot(x+i)\cdot(x\text{ -i)}[/tex]

Note that

[tex](x+i)\cdot(x-i)=x^2\text{ -i}\cdot x\text{ + i}\cdot x+1=x^2+1[/tex]

So our polynomial ends up being

[tex]f(x)=(x-3)^2\cdot(x^2+1)[/tex]


College students are offered a 6% discount on a textbook that sells for
$32.50. If the sales tax is 6%, find the cost of the textbook including the sales
tax.

Answers

32.383 is  the cost of the textbook including the sales tax.

How does sales tax work?

Government-imposed consumption taxes on the purchase of goods and services are known as sales taxes. A typical sales tax is imposed at the moment of sale, paid for by the shop, and then given to the government.

The original price of the textbook = $32.50

Also, the discount percentage = 6%

Thus, the price of the textbook after discount = 32.50 - 6 % of 32.50

                                           = 32.50 - 6 * 3250/100

                                           = 32.50 - 1.95

                                            = 30.55

Now, the sales tax = 6 %

Hence, the cost of the textbook including sales tax

                                                                                = 30.55 + 6 % of 30.55

                                                                           = 30.55 + 6 * 30.55/100

                                                                        = 30.55 + 1.833

                                                                        = 32.383

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Find the length and width of a rectangle with the following information belowArea = 2x^2 + 3x Perimeter = 6x + 6

Answers

Length: L

Width: W

The area of a rectangle is:

[tex]A=L\cdot W[/tex]

The perimeter of a rectangle is:

[tex]P=2W+2L[/tex]

Given information:

[tex]\begin{gathered} A=2x^2+3x \\ \\ P=6x+6 \end{gathered}[/tex][tex]\begin{gathered} L\cdot W=2x^2+3x \\ 2W+2L=6x+6 \end{gathered}[/tex]

Solve L in the second equation (Perimeter):

[tex]undefined[/tex]

The function table below is intended to represent the relationship y=-2x-5. However, one of the entries for y does not correctly fit the relationship with x.

Answers

x = 1 , f(x) = -2•1 - 5 = -7

Then it doesnt corresponds to f(1) = 6

Answer is OPTION E)

0=9 means no solution one solution or infinite solution?

Answers

Answer:

no solution

Step-by-step explanation:

If you end up with a false equality, then the initial statement is false, meaning that there are no solutions.

Convert the following percent to a simplified fraction: 6%

Answers

Given:

6%

To convert the given percent into simplified fraction, we first divide it by 100 as shown below:

[tex]\begin{gathered} 6\%=\frac{6}{100} \\ Simplify \\ =\frac{3}{50} \end{gathered}[/tex]

Therefore, the answer is:

[tex]\frac{3}{50}[/tex]

A biologist just discovered a new strain of bacteria that helps defend the human body against the flu virus. To know the dosage that should be given to someone, the doctor must first know if the bacteria can multiply fast enough to combat the virus. To find the rate at which the bacteria multiplies, she puts 10 cells in a petri dish. In an hour, she comes back to find that there are now 12 cells in the dish.

Answers

Part 3

An exponential growth function has the general form:

[tex]f(t)=a\cdot(1+r)^t[/tex]

where r is the rate of growth, t is the time, and a is a constant. Notice that if calculate f(t) for t = 0, we have (1 + r)º = 1 (any number with exponent 0 equals 1). So, we obtain:

[tex]f(0)=a(1+r)^0=a\cdot1=a[/tex]

Thus, the constant a is the initial value of the function.

Now, the rate at which a bacteria grows is exponential. So, the function C(h) is given by:

[tex]C(h)=C(0)\cdot(1+r)^h[/tex]

Notice that we represented the time by the letter h instead of t.

Since C(0) = 10 and C(1) = 12, we can replace h by 1 to find:

[tex]\begin{gathered} C(1)=10\cdot(1+r)^1 \\ \\ 12=10+10r \\ \\ 12-10=10r \\ \\ 10r=2 \\ \\ r=0.2 \end{gathered}[/tex]

Thus, the number of cells C(h) is given by:

[tex]C(h)=10\cdot(1.2)^h[/tex]

Notice that this is valid for C(15) = 154:

[tex]C(15)=10\cdot(1.2)^{15}\cong154.07\cong154_{}[/tex]

Part 1

Then, using this formula, we find:

[tex]\begin{gathered} C(2)=10(1.2)^2\cong14 \\ \\ C(3)=10(1.2)^3\cong17.3\cong17 \\ \\ C(4)=10(1.2)^4\cong20.7\cong21 \\ \\ C(5)=10(1.2)^5\cong24.9\cong25 \\ \\ C(6)=10(1.2)^6\cong29.9\cong30 \\ \\ C(7)=10(1.2)^7\cong35.8\cong36 \\ \\ C(8)=10(1.2)^8\cong43 \\ \\ C(9)=10(1.2)^9\cong51.6\cong52 \\ \\ C(10)=10(1.2)^{10}\cong61.9\cong62 \\ \\ C(11)=10(1.2)^{11}\cong74.3\cong74 \\ \\ C(12)=10(1.2)^{12}\cong89.2\cong89 \\ \\ C(13)=10(1.2)^{13}\cong107 \\ \\ C(14)=10(1.2)^{14}\cong128.4\cong128 \end{gathered}[/tex]

Part 2

Now, plotting the points, rounded to the nearest whole cell, on the graph, we obtain:

Part 4

Using a calculator, we obtain the following graph of the function C(h):

Comparing the graph to the plot of the data, we see that they match.

Part 5

After a full day, it has passed 24 hours. So, we need to use h = 24 in the function C(h):

[tex]C(24)=10(1.2)^{24}\cong795[/tex]

Therefore, the answer is 795 cells.

Find slope and y-intercept of the line. Compare the values to equation y=3x-8

Answers

The slope of a line graph, we need to pick two point on the line.

It is better to pick points that meet the grids, so we can have its exactly coordinates.

Also, since we will need the y-intercept, one of the points can be this.

The y-intercept is the point where the line intercepts the y-axis, its x value is always 0, and we can see that it happens, in this case, at y = -8, so the point is (0, -8), and the y-intercept is -8.

Now, we can look at any other point. We can see that one point that meets the grids is the point at x = 3 and y = 1, so at point (3, 1).

The slope, m, can be, then, calculated as:

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{1-(-8)}{3-0}=\frac{1+8}{3}=\frac{9}{3}=3 \end{gathered}[/tex]

So, the slope is 3.

Answers:

Slope: 3

y-intercept: (0, -8)

The line in the slope-intercept form is:

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

where m is the slope and b is the y value of the y-intercept.

So, in this case, we have:

[tex]\begin{gathered} m=3 \\ b=-8 \\ y=3x-8 \end{gathered}[/tex]

Which is exactly the same as the equation given, y = 3x - 8, so the equation given corresponds to the graph given.

I really need help with number 9 find the value of x that makes abcd a parallelogram.

Answers

Given:

The adjacent angles of a parallelogram are 78 and x+10.

To find:

The value of x.

Explanation:

We know that,

The sum of the adjacent angles in a parallelogram is supplementary.

So, we can write,

[tex]\begin{gathered} 78+x+10=180 \\ x+88=180 \\ x=180-88 \\ x=92 \end{gathered}[/tex]

Thus, the value of x is 92.

Final answer:

The value of x is 92.

involving two rolls of a dieESEAn ordinary (falr) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a dle is rolled twice in successionand that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.Compute the probability of each of the following events.Event A: The sum is greater than 8.Event B: The sum is an odd number.Write your answers as fractions.Ola(a) P(A) = 1х5?(b) P(B) = 0

Answers

Answer:

[tex]\begin{gathered} a)\text{ }\frac{5}{18} \\ \\ b)\text{ }\frac{1}{2} \end{gathered}[/tex]

Explanation:

Here, we want to compute some probabilities

The first thing to do is to get the count of results in our sample space

In the sample space, the total possible results is 36

Now, let us get the probabilities

a) The event that the sum is greater than 8

We have to count possible results greater than 8 here

3, 6 (3 on the first die, 6 on the second)

6,3 (6 on the first die, 3 on the second)

6,4 (6 on the first die, 4 on the second)

4,6

4,5

5,4

5,5

5,6

6,5

6,6

The number of possible results greater than 8 is 10

Thus, we have the probability as the count of this divided by the total number of possible results

Mathematically, we have that as:

[tex]\frac{10}{36}\text{ = }\frac{5}{18}[/tex]

b) The sum is an odd number

For the sum to be an odd number, we know that if we add a table of 6 rows for all the sums, the even sum on each line is 3

The total even sum is 6 * 3 = 18

The probability is thus:

[tex]\frac{18}{36}\text{ = }\frac{1}{2}[/tex]

Frank will choose 7 colors to use for an art project. If there are 10 colors to choose from, how many different color combinations are possible?

Answers

120

Explanation:

total colours = 10

number of colours to be chosen = 7

We apply combination

The different color combinations possible:

[tex]^{10}C_7=\frac{10!}{(10-7)!7!}[/tex][tex]\begin{gathered} =\frac{10!}{3!7!}=\frac{10\times9\times8\times7!}{3\times2\times1\times7!} \\ =\frac{720}{6} \\ \text{= 120} \end{gathered}[/tex]

The different color combinations possible is 120

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residence halls are typically found at all the following schools except ABCD - FECG B 5 E 6 100 5 A 60 4 120 G w D W = ? 1 rhetorical analysis on punishment for bullying and punishment as bullying Find all solutions of the equation in the interval [0,2pi). csc =7/4 If there is more than one solution, separate them with commas.Do not round any intermediate computations. Give your answer(s) in radians, and round your answer(s) to the nearest hundredth May I get help, I know I have to multiply the possibilities, but I keep getting stuck Consider the following expression-x + 8x2 - 9x?Step 2 of 2: Determine the degree and the leading coefficient of the polynomial. in a beaker, 0.57 mol of potassium iodide and 0.52 mol of lead (ii) nitrate are dissolved in water. a reaction occurs, and a white precipitate is observed. calculate the mass (in grams) of the precipitate formed The idea that employees would quit working for enron if their values were different than those at the company is consistent with the?. What is the mass of 32.1 mL the density of copper is 8.96 g/mL 71.11 Liters of nitrogen gas combined with 60.6 liters of oxygen gas. What volume of nitrogen dioxide gas is made? Use identities to find tan, csc, sec, and cot. Where necessary, rationalize denominators Find x rounded to the nearest whole degree. Be sure to round correctly! according to one study, which type of attributional feedback (especially after failure) produced more task persistence, more enjoyment, and better performance? How fast does human hair typically grow? A. Two centimeters per month B. One inch per month C. One centimeter per month D. Two centimeters every year What is the difference between the inverse function of quadratic and exponential the income and substitution effects account for: group of answer choices the upward sloping supply curve. the downward sloping demand curve. shifts in the demand curve. movements along a given supply curve. The figure below shows a striaght line AB intersected by another straight line t: Write a paragraph to prove that the measure of angle 1 is equal to the measure of angle 3. (10 points) suppose a company spends $100,000 during year x1 to research and develop a safety device for motorcycles. by the end of x1, the company estimates that the new safety device has an 80% chance of generating $500,000 in revenues from sales to customers over the next five years (x2 - x6). for what amount would research and development expense be reported in x1? For the figure below, give the following 3.8% of a population are infected with a certain disease. There is a test for the disease, however the test is not completely accurate. 93.9% of those who have the disease test positive. However 4.1% of those who do not have the disease also test positive (false positives). A person is randomly selected and tested for the disease. What is the probability that the person has the disease given that the test result is positive? 0.475 0.038 0.525 0.905