One poster has a width of x + 5 inches, and
the other has a width of x + 3 inches. Write an
expression to represent the area of wall that the
posters will cover.

Answers

Answer 1

The area that represent the wall the poster will cover is as follows:

x² + 10x + 25x² + 6x + 9

What is area?

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Therefore, One poster has a width of x + 5 inches, and the other has a width of x + 3 inches.

The expression  to represent the area of wall that the posters will cover can be calculated as follows:

area = w²

area of the first poster = (x + 5)² = (x + 5)(x + 5) = x² + 5x + 5x + 25 = x² + 10x + 25

area of the second poster = (x + 3)² = (x +3)(x + 3) = x² + 3x + 3x + 9 = x² + 6x + 9

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Related Questions

A clothing store buys a sweater for $15 before marking it up by 1/5 before selling it for a profit. What is the markup on the sweater?

Answers

The markup amount on the sweater of cost price $15 is $3.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A clothing store buys a sweater for $15 before marking it up by 1/5.

So, the markup amount can be obtained if we multiply the cost price by the fraction of mark up which is,

= 15×(1/5).

= 3.

The markup price is $3.

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Jordan went swimming for 7/8 hour in the morning and 5/6 hour in the afternoon. What is the best estimate for the total time Jordan went swimming?

Answers

The total time for Jordan went swimming will be;

⇒ 41/24

What is Addition?

The process of combining two or more numbers is called the Addition.

Given that;

Jordan went swimming for 7/8 hour in the morning and 5/6 hour in the afternoon.

Now,

Since, Jordan went swimming for 7/8 hour in the morning and 5/6 hour in the afternoon.

Hence, The total time for Jordan went swimming will be;

⇒  7/8 + 5/6

⇒ (21 + 20) / 24

⇒ 41/24

Thus, The total time for Jordan went swimming will be;

⇒ 41/24

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What 3 parts are needed to show a number in scientific notation?

1. A whole number and a decimal, a multiplication symbol, a power of 10

2. An exponent to the 2nd power, a multiplication symbol, a whole number from 1 to 10

3. A decimal or whole number, a multiplication symbol, a power of 10

4. A decimal between 1 and 10, a multiplication symbol, a power of 10​

Answers

2 I think…. Numbers in scientific notation are made up of three parts: coefficient, base and exponent.

Christopher has $780 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $446.45.
He buys 2 bicycle reflectors for $16.82 each and a pair of bike gloves for $24.60.
He plans to spend some or all of the money he has left to buy new biking outfits for $43.70 each.

Write and solve an inequality which can be used to determine oo, the number of outfits Christopher can purchase while staying within his budget.

Answers

The required inequality for number of outfit is n ≤  6.3  and Christopher can purchase 6 biking outfits.

What is inequality?

Inequality shows relation between two expression which are not equal to each others.

Given that,

Maximum amount that Christopher can spend = $780.

The price of new bicycle = $446.45.

Also, Christopher buys 2 bicycle reflectors for $16.82 each.

And a pair of bike gloves for $24.60.

Let Christopher buys n outfits.

The price of 1 outfit is $43.70.

The price of n outfits = $43.70n

Since,  Price of 1 bicycle reflectors = $16.82

Price of 2 reflectors = $16.82 x 2 = $33.64

The inequality to determine the number of outfits can be written as,

43.70n + 446.45 + 24.60 + 33.64 ≤ 780.

43.70n + 504.69 ≤ 780.

43.70n ≤ 780 - 504.69

43.70n  ≤ 275.31

n ≤  6.3

The maximum number of outfit Christopher can purchase is 6.

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23a = 391 A. a = 16 B. a = 17 C. a = 8,939 D. a = 8,993

Answers

Answer:

Step-by-step explanation:

it is 17 i did the quiz hope it helps

I need help with this ! Anything helps.

Answers

No.5
X=85

No.6
X=80

No.7
X=10

No.8
X=6

No.9
X= -9

No.10
X=29

No.11
X= -6

No.12
X= -7

Hope this helps

Consider a function f(x) = x^ 2.
A second function h(x) is the result of reflecting f(x) across the x-axis and translating it 3 units in the positive y-direction (upward). Write the equation of h(x).
Please Help will mark brainliest :)

Answers

Answer:

h(x) = - x² + 3

Step-by-step explanation:

Given f(x) reflected in the x- axis , then

h(x) = - x²

Given h(x) then h(x) + c is a vertical translation

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here h(x) is shifted 3 units up , then

h(x) = - x² + 3


i gotchu

The function g is defined by g(x) = 5+2x/2+x
Find g (4x)

Answers

[tex]g(x)=\frac{5+2x}{2+x} \\ \\ \implies g(4x)=\frac{5+2(4x)}{2+4x}=\boxed{\frac{5+8x}{2+4x}}[/tex]

Use the distributive property to simplify: 5(4x - 7)
Group of answer choices

20x-35

5x-5

35-20x

4x-35

Answers

Answer:

the answer is 20x -35

Step-by-step explanation:

5 x 4x = 20x

5 x -7 = -35

The answer options for exercise 5(4x-7) are:

A) 20x-35

B) 5x-5

C) 35-20x

D) 4x-35

To solve this exercise 5(4x-7), we organize the expression with the distributive law.

The distributive law is: a(b+c)=ab+ac.

5(4x - 7) = 5 × 4x - 5 × 720x - 35

Therefore, the correct option is alternative "A".

What is the perimeter of this triangle?

Answers

The triangle has a perimeter of 48 units.

How to determine the perimeter of a triangle

Triangles are figures with three sides, the perimeter is the sum of the lengths of the three sides. The length of each side is determined by Pythagorean theorem:

l = √(x² + y²)

Where:

l - Side lengthx - Horizontal length of the side.y - Vertical length of the side.

First, determine the horizontal and vertical length of each side:

Side 1

x = 18, y = 0

Sides 2, 3

x = 9, y = 12

Second, determine the side lengths:

Side 1:

l = 18

Sides 2, 3

l = √(9² + 12²)

l = 15

Third, calculate the perimeter of the triangle:

p = 18 + 15 + 15

p = 48

The perimeter of the triangle is equal to 48 units.

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Select the locations on the number line to plot the points -7/3, 14/3

Answers

Answer:

-7/13 is equivalent to -2 1/3, so plot it 1/3 of a unit to the left of -2.

14/3 is equivalent to 4 2/3, so plot it 2/3 of a unit to the right of 4.

120 students are signing up for classes. 80 of them are signing up for a Math class (M) and 50 of them are signing up for a Biology
class (B). If 35 of them are signing up for both Math and Biology, how many are signing up for neither Math nor Biology. Hint:
It may help to draw the Venn diagram.

Answers

The number of students signing up for neither Math nor Biology is 25.

What are sets and subsets?

A set is a collection of well-defined objects.

A subset contains all the elements or a few elements of the given set.

The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.

Given, 120 students are signing up for classes. 80 of them are signing up for a Math class (M) and 50 of them are signing up for a Biology.

We know N(A∪B) = N(A) + N(B) - N(A∩B).

∴ N(M∪B) = 80 + 50 - 35.

N(M∪B) = 95.

So, the number of students signing up for neither Math nor Biology are

(120 - 95) = 25

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Suppose that x and y vary inversely, and x = 30 when y = 2. Find y when x=5.

Answers

Answer:

Step-by-step explanation:

1. x is inversely proportional to y

x=k/y

k is the constant of proportionality

x =60/y

2. x=60/y

x=60/12

x=5

There is a store that is having a 25% sale off of everything.Lin is buying a jacket that costs $40. What is the cost of the jacket after the discount?

Answers

Answer:

30

Step-by-step explanation:

Kylie makes $8.50 an hour at a local restaurant. Her paycheck shows she worked 20.88 hours last week. how much money did Kylie make?

Answers

If Kylie's hourly wage at a nearby restaurant is $8.50. She worked 20.88 hours last week, according to her paycheck. Kylie's salary is $177.48.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Kylie makes $8.50 an hour at a local restaurant. Her paycheck shows she worked 20.88 hours last week.

We have to find the money did Kylie make,

We can utilize multiplication for a number of common tasks, such as figuring out how much it will cost to buy several identical things, calculating sales tax, and figuring out area and other geometric measurements.

Suppose the money did Kylie make is x,

x = 8.50 ×  20.88

x=$ 177.48

Thus, if Kylie's hourly wage at a nearby restaurant is $8.50. She worked 20.88 hours last week, according to her paycheck. Kylie's salary is $177.48.

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Graph the solution to this inequality on the number line.

35z>34

Answers

Answer:

see the attached image.

Step-by-step explanation:

First, divide by 35 on both sides to isolate 1 multiple of z.

[tex]35z > 34\\\overline{\ 35\ } \ \ \ \: \overline{35}[/tex]

[tex]z > \dfrac{34}{35}[/tex]

See the attached image for a graph.

The values of z stop at an open circle at the point 34/35.

NO LINKS!! Please help me with this problem.​

Answers

Answers:

Min cost = $464.76

Dimensions = 11.619 feet by 5.164 feet

Each value mentioned above is approximate.

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

Explanation:

x = horizontal dimension

y = vertical dimension

xy = 60

y = 60/x

The amount of outer fencing needed is 2x+2y feet, aka the perimeter of the largest rectangle.

There are 5 vertical inner fences, so we need 5y feet of inner fencing.

Let's set up the cost function.

Cost = 10*(amount of outer fencing) + 5*(amount of inner fencing)

C = 10*(2x+2y) + 5*(5y)

C = 20x+20y+25y

C = 20x+45y

Plug y = 60/x into the cost function.

C = 20x+45y

C = 20x+45(60/x)

C = 20x + (2700/x)

Then use either calculus or a graphing calculator to find the lowest point on the cost curve is roughly located at (11.619, 464.758)

Use the x value x = 11.619 to find its paired y value

y = 60/x

y = 60/11.619

y = 5.16395558998192

y = 5.164

The entire enclosure should be roughly 11.619 feet by 5.164 feet

The total cost is minimized at approximately  $464.76

Answer:

11.619 by 5.164 feet$464.76 minimum cost

Step-by-step explanation:

You want the dimensions and cost of a rectangular enclosure with an area of 60 square feet and 5 internal partitions. The cost of outside fence is $10 per foot, and the cost of partition fence is $5 per foot.

Setup

Let x represent the length of the enclosure, and y the width (and the partition length). Then we have ...

  xy = 60

  10(2x) = cost fencing for length

  10(2y) +5(5y) = cost of fencing for width

We know the cost will be minimized when the cost of fence for the length is equal to the cost of fence for the width.

  20x = 45(60/x)

Solution

  x² = 135 . . . . . . . . . . . multiply by x/20

  x = 3√15 ≈ 11.619 . . . .square root

  y = 60/(3√15) = (4/3)√15 ≈ 5.164 . . . . . find y

Then the cost is ...

  2(10(2x)) = 120√15 ≈ 464.76 . . . . minimum cost

The enclosure is 11.619 by 5.164 feet, for a cost of $464.76.

3 + 5 to the power of 2 - 6 • 4

Answers

Answer: The correct answer is 4

Step-by-step explanation:

You welcome have a great day

What is the length of Line segment AC?

3 ft
4 ft
18 ft
12 ft

Answers

it’s either 18 or 12ft but i feel like 12ft I may be wrong might want to ask your math teacher

Solve the equation cos 2 θ = -5 cos θ - 3 on the interval 0 ≤ θ < 2π

Answers must be exact.

Answers

Answer:

[tex]\theta =\dfrac{2}{3} \pi ,\;\; \theta =\dfrac{4}{3} \pi[/tex]

Step-by-step explanation:

Given:

[tex]\cos 2\theta=-5 \cos \theta-3, \quad \quad 0 \leq \theta < 2 \pi[/tex]

[tex]\boxed{\begin{minipage}{6.5 cm}\underline{Cos Double Angle Identity}\\\\$\cos (A \pm B)=\cos A \cos B \mp \sin A \sin B$\\\end{minipage}}[/tex]

Use the cos double angle identity to create a quadratic:

[tex]\begin{aligned}\cos 2\theta &=-5 \cos \theta-3\\\cos^2\theta - \sin^2 \theta &=-5 \cos \theta-3\\\cos^2\theta - (1-\cos^2 \theta) &=-5 \cos \theta-3\\2\cos^2\theta - 1 &=-5 \cos \theta-3\\2\cos^2\theta+5 \cos \theta +2 &=0\end{aligned}[/tex]

Factor the quadratic:

[tex]\begin{aligned}2\cos^2\theta+5 \cos \theta +2 &=0\\2\cos^2\theta+4 \cos \theta +\cos \theta +2 &=0\\2\cos \theta(\cos \theta +2)+1(\cos \theta +2) &=0\\(2\cos \theta+1)(\cos \theta +2)&=0\end{aligned}[/tex]

Apply the zero-product property:

[tex]2 \cos \theta + 1 = 0 \implies \cos \theta =-\dfrac{1}{2}[/tex]

[tex]\cos \theta + 2= 0 \implies \cos \theta =-2[/tex]

As  -1 ≤ cos θ ≤ 1,  cos θ = -2 is undefined.

Therefore, the only valid solution is  cos θ = -¹/₂

Therefore:

[tex]\implies \cos \theta =-\dfrac{1}{2}[/tex]

[tex]\implies \theta =\cos^{-1}\left(-\dfrac{1}{2}\right)[/tex]

[tex]\implies \theta =\dfrac{2}{3} \pi +2\pi n,\;\; \dfrac{4}{3} \pi+2\pi n[/tex]

Solutions in the given interval 0 ≤ θ < 2π :

[tex]\theta =\dfrac{2}{3} \pi ,\;\; \theta =\dfrac{4}{3} \pi[/tex]

find the greatest perfect square that is a factor of 495

Answers

Answer:

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, and 495 are the factors of 495. Additionally, the highest perfect square on this list is 9, and 3 is 9's square root. So, A is equal to 3.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The factors of 495 are:

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, and 495.

The greatest perfect square that is a factor of 495 is 9.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

495

The factors of 495 are:

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, and 495.

Now,

The perfect squares from the factors of 495 are 1 and 9.

9 is the greatest perfect square of 495.

Thus,

The greatest perfect square that is a factor of 495 is 9.

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Please answer for brainly and 5 star thanks

Answers

Using the graph given, the rate of change from hour 4 to hour 7 is: -20.

How to Find the Rate of Change of a Graph?

The rate of change of a relationship that is represented on a graph is determined using the formula below:

Rate of change = f(b) - f(a) / b - a.

Given the graph above, we are asked to find the rate of change between the interval x = 4 to x = 7:

a = 4

f(a) = f(4) = 120

b = 7

f(b) = f(7) = 60

Plug in the values:

Rate of change = f(b) - f(a) / b - a = (60 - 120) / (7 - 4)

= -60/3

Rate of change = -20.

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find the paramater 1/2x-7 x

Answers

Answer:

-13/2x

Step-by-step explanation:

1/2x +(−7x)

Combine Like Terms:

12x +(−7x)

(1/2x +−7x)

−13/2x

My brain has gone blank and I forgot how to do these

Answers

Answer:

Step-by-step explanation:

x= 80 degrees

I think that's the answer

113-33= 80

Answer:

133+33+x=180

X=180-133-33

X=14

6. A chemist needs to create 100mL of 38% acid solution. On hand she has a 20% acid solution and
a 50% acid solution. How many mL of each solution should she use?
Solution: 20% acid =
50% acid =

Answers

Answer:

40 cc of A and 60 cc of B

Step-by-step explanation:

A+B = 100

0.5A + 0.8B = 100 * 0.68 = 68

0.5A + 0.8 ( 100 - A) = 68

0.5A + 80 - 0.8A = 68

-0.3A = -12

3A = 120

A=40

40 cc of A and 60 cc of B

help meeeeeeeeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeee

Answers

Answer:

51.85g

Step-by-step explanation:

At t = 25 years,

A(t) = 200e^-0.054t

A(25) = 200(e^-0.054(25))

= 200(e^-1.35)

= 200(0.2592)

= 51.85

Which inequality is represented by the number line?

A.
|2x + 1| ≥ 7
B.
2|x + 1| ≤ 8
C.
|2x − 1| ≥ 9
D.
2|x − 1| ≤ 10

Answers

The inequality represented by the graph is |2x − 1| ≥ 9

How to determine the inequality represented by the graph?

The number line represents the given parameter

On the number line, we have the following endpoints

x = -4 and x = 5

So, we test the above solutions in the list of options (representing them as an equation)

So, we have

|2x + 1| = 7

When x = -4

|2(-4) + 1| = 7 ⇒ 7 = 7 --- true

When x = 5

|2(5) + 1| = 7 ⇒ 11 = 7 --- false

2|x + 1| ≤ 8

When x = -4

2|(-4) + 1| = 8 ⇒ 6 = 8 --- false

|2x − 1| ≥ 9

When x = -4

|2(-4) - 1| = 9 ⇒ 9 = 9 --- true

When x = 5

|2(5) - 1| = 9 ⇒ 9 = 9 --- true

Hence, the inequality is (c) |2x − 1| ≥ 9

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Hugo is a veterinarian. he knows the following information about his 41 patrons:

• 20 patrons in total do not have a dog.
• 17 patrons in total have a cat.
• 7 patrons have neither a dog nor a cat

Answers

The number of persons who own a dog but no cat is 24 - 7 = 17, while the total number of people who own a dog is 17 + 4 = 21.

What exactly does "patron" mean?

formal a customer of a specific eatery, lodging facility, or other establishment. Only customers may use this parking lot. synonyms and words that are similar. a hotel or guest house stay.

Since there are a total of 41 customers, the number of those without cats is calculated as follows: 41 – 17 = 24.

13 people(20 - 7) do not own dogs but do own cats.

There are 4 persons who own both a dog and a cat (17 - 13).

The people who have a dog, and do not have a cat is  24 - 7 = 17, and the total of the people who have a dog is 17+4 = 21.

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Since 2009 the number of smartphones shipped from manufacturers to stores around the world has increased exponentially. The growth from 2009 through 2015 can be modeled using the function G (t) = 174 . 1.67^t where t is the number of years singe 2009 and G (t) is measured in millions of smartphones.

Use this information and your knowledge of exponential and logistic growth to explore the mathematical concepts in the questions below.

Answers

The y-intercept indicates that 174 million smartphones were shipped to stores in 2009. This implies that after two years, in 2011, smartphone manufacturers shipped 500 million smartphones to stores worldwide.

Since 2009 the number of smartphones shipped from manufacturers to stores around the world has increased exponentially.

What is the exponential function?

The mathematical expression f(x)=exp or ex denotes the exponential function. The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to the complex numbers or adapted to other mathematical objects like matrices or Lie algebras.

The growth from 2009 through 2015 can be modeled using the function G(t) = 174 * 1.67^t where t is the number of years since 2009 and G(t) is measured in millions of smartphones.

The required graph of the exponential function G(t) has been attached below

Now, finding the y-intercept

G(t) = 174· 1.67^t...(i)

Substitute the value of t = 0 in the above function,

G(t) = 174* 1.67⁰

G(t) = 174(1)

G(t) = 174

The meaning of the y-intercept is that 174 million smartphones are being shipped to stores in years 2009.

Substitute the value of G(t) =500 in the exponential function(i),

500 = 174 * 1.67^t

500/174 = 1.67^t

2.8735 = 1.67^t

In(2.8735 ) = t In (1.67)

t = In (2.8735 ) / In (1.67

t = 2.05827 ≈ 2

Hence, This means after 2 years i.e. in 2011, smartphone manufacturers were shipping 500 million smartphones to stores around the world.

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what multiples to 48 and adds to -12

Answers

Effectively what you're asking is to solve this equation

x^2 - 12x + 48 = 0

Compare that to this form

ax^2 + bx + c = 0

to find that

a = 1b = -12c = 48

Let's compute the discriminant (aka the stuff under the square root in the quadratic formula).

d = b^2 - 4ac

d = (-12)^2 - 4(1)(48)

d = 144 - 192

d = -48

The discriminant is negative, which tells us that there aren't any real numbered solutions to x^2 - 12x + 48 = 0

Therefore, we have no way to factor x^2 - 12x + 48 over the real numbers. Going back at the problem at hand: there aren't any real numbers that (a) multiply to 48 and (b) add to -12.

The two mystery numbers would be complex numbers in the form a+bi, where i = sqrt(-1). If your teacher hasn't covered these types of numbers yet, then you simply would say "no solution".

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Temporarily reduce dividend payments to shareholders and use the cash saved from lower dividend payments to pay down 5-year and 10-year loansD.) use a portion on the company's internal cash flows and new issues of common stock to pay higher dividends to shareholders.E.) Place increased attention on improving operating profits and operating profit margins in all four geographic regions -- the resulting growth in operating profits companywide will increase the company's interest coverage ratio according to various models and data on the predictors of divorce, what are the general types of influences on people's marital outcomes? (check all that apply.) Consider the functionf(x,y) = y\sqrt x - y^2 - 3 x + 11 y.Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank.f_x =f_y = f_{xx} = f_{xy} = f_{yy} = The critical point with the smallestx-coordinate is(__,__) Classification:(local minimum, local maximum, saddle point, cannot be determined)The critical point with the next smallestx-coordinate is(__,__) Classification:(local minimum, local maximum, saddle point, cannot be determined)The critical point with the next smallestx-coordinate is(__,__) Classification:(local minimum, local maximum, saddle point, cannot be determined) reduced susceptibility to a disease based on the ability of the immune system to remember, recognize, and mount a rapid defense against a pathogen it has previously encounteredimmunity an electric utility company supplies a customer's house from the main power lines 120 v with two copper wires, each of which is 80.0 m long and has a resistance of 0.108 per 300 m. (a) find the voltage at the customer's house for a load current of 110 a. watching violence in the media and behaving aggressively are positively correlated. what does this mean? You have created your narrative and visuals, so now its time to build a professional and appealing slideshow. You choose a theme that matches the tone of your presentation. Then, you create a title slide with a title, subtitle, and the date.Next, you create the following slide about electric vehicle sales in 2015 compared to 2020:After reviewing it, you decide to decrease the number of words on your slide. For what reasons will this make your slide more effective? Select all that apply.Multiple Choice Question. Please Choose The Correct Options ASlide text should be no more than 10 lines totalBThe text shouldnt simply repeat the words you sayCThe font size is too small for your audience to readDSlide text should be fewer than 25 words total if a mutation occurs in the somatic tissue, approximately how many of the gametes will carry the mutation? we explore supervised data mining techniques, including classification models where the target variable is categorical and prediction models where the target variable is numerical. examples of classification models include which of the following? A coat is marked down by 10% and the customer is given a second discount of 25% what is the sales price