lists the parts of the expression shown 8r + 5p + 7 terms variables, coefficient of p constant

Answers

Answer 1

Answer/Step-by-step explanation:

Starting with:

8r + 5p + 7



There are three terms. 8r is a term; 5p is a term; 7 is a term. See how the terms are separated by + or -

r and p are variables. Most often the variable is a letter, that way it can stand for an unknown value. It can vary.

5 is the coefficient of p. Its the number right next to the p. (They are multiplied together)

7 is the constant. Constant means unchanging, right? So 7 is a plain old number, it doesn't change like a variable can. A plain number with no variable is a constant.


Related Questions

Lisa is traveling to Greece this summer and needs to exchange 500 US Dollars to Euros.

How many Euros will Lisa receive with the following exchange rate?

1 USD = 0.95 Euros

Answers

Answer: Lisa will receive 475 Euros.

Step-by-step explanation: 500x0.95 = 475.

Answer:

Step-by-step explanation:

2

simplify
(-4x^2)(3x^5)/2x^-4

Answers

The expression after simplification is -6x¹¹.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

The given expression is (-4x²) (3x⁵) / (2x⁻⁴).

We have the rule for exponents,

xᵃ . xᵇ = xᵃ⁺ᵇ

xᵃ / xᵇ = xᵃ⁻ᵇ

(-4x²) (3x⁵) = (-4 × 3) x²⁺⁵ = -12x⁷

-12x⁷ / 2x⁻⁴ = (-12 / 2) x⁷⁻⁻⁴

                   = -6x¹¹

Hence the simplification of the expression (-4x²) (3x⁵) / (2x⁻⁴) is -6x¹¹.

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BENCHMARK ASSESSMENT - 2/20

Which of the ratios below has a unit rate of 8? Select all that apply.

A) 40:5
B) 24:16
C) 96:12
D) 48:6
E) 2:24

Answers

Answer: So Here you go I got the perfect answer with a explanation

Step-by-step explanation:

A unit rate is a rate in which the second term is 1. To find a unit rate, we need to divide the first term by the second term.

A) 40:5 has a unit rate of 8 (40/5 = 8)

C) 96:12 has a unit rate of 8 (96/12 = 8)

D) 48:6 has a unit rate of 8 (48/6 = 8)

So options A, C and D has a unit rate of 8.

Answer:

the ration has a unit rate of 8 A - 40:5C - 96:12 D - 48:6Dividable by 8

Step-by-step explanation:

What is the perimeter of triangle “QTS”

Answers

Answer: 15 + x, or x + 15

Step-by-step explanation:

The perimeter of triangle QTS is represented as line segments QT + TS + QS.  This means:

6 + 6 + ((3x - 1) + (4 - 2x))

You can first simplify 6 + 6, 6 + 6 = 12

12 + ((3x - 1) + (4 - 2x))

Next, focus on ((3x - 1) + (4 - 2x))

3x + (-1) + 4 + (-2x), addition is commutative, so use addition
3x + (-2x) + 4 + (-1)
(3x - 2x) + (4 - 1)
x + (4 - 1)
x + 3

The equation is now:

12 + x + 3

You can simplify this more by adding 12 + 3

15 + x

The answer is 15 + x or x + 15 because that is as simplified as the equation can be.

I hope this helps!

The list below gives the location of 3 friends who are scuba diving together. Mallory is exploring at an elevation of -25 feet. Jacob is standing on the boat, at an elevation of 15 feet. Eva just jumped in and is 5 feet below the surface of the water.
Which inequality correctly compares the distance of the scuba divers from the surface of the water?

Which one of these?
1- Eva > Mallory
2- Mallory < Jacob
3- Jacob < Eva
4- Mallory > Eva

Answers

Mallory is further from the surface than Eva. So, Mallory > Eva. Therefore, option D is the correct answer.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, Mallory is exploring at an elevation of -25 feet.

So, distance between Mallory and the surface of water is 25 feet

Jacob is standing on the boat, at an elevation of 15 feet.

Distance between Jacob and the surface of water is 15 feet

Eva just jumped in and is 5 feet below the surface of the water.

Distance between Eva and the surface of water is 5 feet

In this case, the person closest to the surface is Eva, who is 5 feet from the surface.

So, the inequality is Mallory > Eva

Therefore, option D is the correct answer.

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Manny drives 2 times the hours that Tabria does. Manny and Tabria drive for a total of 9 hours. How
long did each person drive?

Answers

Answer:

4.5

Step-by-step explanation:

4.5 times 2 = 9

9 divided by 2 =4.5

You go to the grocery store and purchase the items listed in the table. What is your total if
the sales tax is 7%?

Answers

The total price is obtained following these two steps:

Adding the price of all the products in the table.Multiplying the total by 1.07, due to the sales tax of 7%.

How to obtain the total price?

The first step is obtain the price without taxes, which is done adding the price of all the items in the data-set.

Then the proportion is applied, relative to the sales tax of 7%.

The percentage of a sales tax of 7% is given as follows:

107%.

Hence the multiplier relative to this sales tax is given as follows:

1.07.

Missing Information

The problem is incomplete, hence the answer was given in general terms.

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Solve the system by substitution {2x−3y=12 −12y+8x=48


If there is one solution, type the answer as an ordered pair. If there is no solution, type ∅. If there are infinitely many solutions, type ∞.

Answers

The solution to the system is (7.5, 1)

How to determine the solution to the system

From the question, we have the following parameters that can be used in our computation:

2x−3y=12

−12y+8x=48

divide the first equation by 2

So, we have

x - 1.5y = 6

This gives

x = 6y + 1.5

By substitution, the second equation becomes

-12y + 8 (6y + 1.5) = 48

So, we have

-12y + 48y + 12 = 48

Evaluate

36y = 36

Divide by 36

y = 1

So, we have

x = 6 + 1.5

x = 7.5

Hence, the solution is (7.5, 1)

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One number is six less than three times another number. If the sum of the numbers is 38, find the numbers.

Answers

Answer: Let's call the first number "x" and the second number "y".

From the problem statement, we know that:

x = 3y - 6 (because one number is six less than three times the other number)

x + y = 38 (because the sum of the numbers is 38)

We can substitute the first equation into the second equation to solve for one of the variables:

3y - 6 + y = 38

4y - 6 = 38

4y = 44

y = 11

Now we can substitute this value of y back into the first equation to find the value of x:

x = 3(11) - 6

x = 29

So the two numbers are:

x = 29

y = 11

Step-by-step explanation:

Sample Spaces and Probabilities (18 points) For each of the following scenarios first describe the sample space and indicate how big it is (i.e., what its cardinality is) and then answer the question. (a) [3 Points] You flip a fair coin 50 times. What is the probability of exactly 20 heads? (b) [3 Points] You roll 2 fair 6-sided dice, one red and one blue. What is the probability that the sum of the two values showing is 4? (c) [3 Points] You are given a random 5 card poker hand (selected from a single deck). What is the probability you have a full-house (3 cards of one rank and 2 cards of another rank)? (d) [3 Points] 20 labeled balls are placed into 10 labeled bins (with each placement equally likely). What is the probability that bin 1 contains exactly 3 balls? (e) [3 Points] There are 30 psychiatrists and 24 psychologists attending a certain conference. Three of these 54 people are randomly chosen to take part in a panel discussion. What is the probability that at least one psychologist is chosen? What is the probability that exactly three psychologists are chosen? (f) [3 Points] You buy ten cupcakes choosing from 3 different types (chocolate, vanilla and caramel). Cupcakes of the same type are indistinguishable. What is the probability that you have at least one of each type?

Answers

(a) Sample space: 2^50 (1,024,000). Probability of exactly 20 heads: 0.000244140625.

(b) 6^2 (36). Probability of a sum of 4: 1/9.

(c) C(52,5) (2,598,960). Probability of a full house: 0.001441.

(d) 10^20 (10^19). Probability of bin 1 containing exactly 3 balls: 1/10^19.

(e) C(54,3) (19,323). Probability of at least one psychologist: C(24,1)/C(54,3) (0.841). Probability of exactly three psychologists: C(24,3)/C(54,3) (0.037).

(f) 3^10 (590,490). Probability of at least one of each type: 0.001690.

(a) The sample space consists of all the possible outcomes of flipping a fair coin 50 times, which is 2^50 (1,024,000). There are only two possible outcomes for each flip, heads or tails. The probability of getting exactly 20 heads is 0.000244140625.

(b) The sample space consists of all the possible outcomes of rolling a red and a blue 6-sided die, which is 6^2 (36). The probability of getting a sum of 4 is 1/9.

(c) The sample space consists of all the possible 5 card poker hands (selected from a single deck), which is C(52,5) (2,598,960). The probability of getting a full house (3 cards of one rank and 2 cards of another rank) is 0.001441.

(d) The sample space consists of all the possible ways of placing 20 labeled balls into 10 labeled bins, which is 10^20 (10^19). The probability of bin 1 containing exactly 3 balls is 1/10^19.

(e) The sample space consists of all the possible ways of selecting 3 of the 54 people attending the conference, which is C(54,3) (19,323). The probability of at least one psychologist being chosen is C(24,1)/C(54,3) (0.841). The probability of exactly three psychologists being chosen is C(24,3)/C(54,3) (0.037).

(f) The sample space consists of all the possible ways of buying ten cupcakes from the 3 different types, which is 3^10 (590,490). The probability that you have at least one of each type is 0.001690.

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75,232 = ___ in
expanded form

Answers

Answer:

seventy-five thousand two hundred thirty-two

Step-by-step explanation:

Write the expression as a single power of b.

open parentheses b to the power of begin display style 3 over 4 end style end exponent over b to the power of begin display style 1 fourth end style end exponent close parentheses to the power of 1 half end exponent

Answers

The simplified form of the given expression is x raise to the power of one-thirty.

What is an expression?

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

Simplifying indices expressions

Given the indices expression (x^1/2/(x^1/3)^1/5

Using the indices law below:

a^m/a^n = a^m-n

(a^m)^n

Applying the law above to the given equation

(x^1/2/(x^1/3)^1/5 = (x^1/2-1/3)^1/5

(x^1/2/(x^1/3)^1/5 = (x^1/6)^1/5

(x^1/2/(x^1/3)^1/5 = x^1/30

Hence the simplified form of the given expression is x raise to the power of one-thirty.

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Need help with question number 3

Answers

Using what we know about lines and vertical angles we will see that:

m∠3 = 35°.

How to find the measure of angle 3?

Remember that when two lines intercept and 4 angles are formed, the vertical angles (these ones connected only by the vertex) have the same measure.

For example, 2 and 5 are vertical angles in this case.

Angles 6 and 3 also are vertical angles, and if both white lines are parallel, then the measures of angle 1 and 6 will be equal (because both are on the same quadrant) then:

m∠6 = 35°

Then the measure of angle 3 is:

m∠3 = 35°.

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The baker made a batch of chocolate chip, oatmeal raisin, and sugar cookies. If P(chocolate chip) = 0.25, interpret the likelihood of randomly selecting a chocolate chip cookie from the batch.

Equally likely and unlikely
Likely
Unlikely
This value is not possible to represent probability of a chance event.

Answers

The likelihood of randomly selecting a chocolate chip cookie from the batch is unlikely. Therefore, option C is the correct answer.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

Given that, the baker made a batch of chocolate chip, oatmeal raisin, and sugar cookies.

P(chocolate chip) = 0.25

In probability, larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 0.5 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

Here, 0.25<0.5

Therefore, option C is the correct answer.

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Answer:unlikely

Step-by-step explanation:

Explain weather there is a possible transformation of f in the form g(x) =f(x)+k, where k is a constant for which the graph y=g(x) will have no x-intercepts. Enter your answer and your justification in the space provided.

Answers

Answer:

Yes, a transformation of f in the form g(x) =f(x)+k can have no x-intercepts. This will occur if the constant k is added to the y-value of every point on the f(x) graph, resulting in the chart of g(x) being shifted upward by k units. If the original diagram of f(x) had no x-intercepts, then the graph of g(x) would also have no x-intercepts because the x-coordinate of each point on the graph of f(x) is unchanged by the transformation.

Step-by-step explanation:

6. Write a polynomial function of the least degree that has the root x = (5+ i).

Factors:

Polynomial Function:

Answers

To much to right but have it in pic: \/ \/

Help please and thank you and please explain how you got it. It’s #13!

Answers

Answer:

-13a +10b

Step-by-step explanation:

          [tex]-3a-4b-2(5a-7b)[/tex]

[tex]=-3a-4b-10a+14b[/tex]

[tex]=-13a+10b[/tex]

Hope this helps

HELP!
which is the graph of g(x) = [x+3]?​

Answers

Answer:

Step-by-step explanation:

O gráfico  de g(x) = [x+3] é uma Reta que passarum pelo pno (3,0) e tem inclinação 1.

2. Write an equation to represent f(e)










Absolute Value Functions

Answers

The absolute value function for f(e) is given as follows:

f(e) = |e|

The piece-wise definition of the function is given as follows:

f(e) = e, e >= 0.f(e) = -e, e < 0.

What is the absolute value of a number?

The absolute value of a number is the number without the signal, representing the difference between the number and zero.

This means that the elevation function gives just elevation, without considering if the elevation is positive or negative, and thus the function is defined as follows:

f(e) = |e|

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How do i solve for the value of s

Answers

By setting the two values equal to each other.
This is because they are VERTICAL ANGLES, what makes them congruent (same measure)

6s - 7 = 5s + 5
-5s
s - 7 = 5
+7
s = 12

Answer: s = 12

Have a good day ^^

Suppose b is a constant and that f(x) is a function defined when x = b. Complete the following sentences.
1. If f(b) is large, then 1/f(b) is __
2. If f(b) is small, then 1/f(b) is __
3. If f(b) = 0 then
1/f(b) is __
4. if f(b) is positive, then
1/f(b) is __
5. If f(b) is negative, then 1/f(b) is __

Answers

(i) 0

(ii) inifinity(very large value)

(iii) undefined

(iv) positive value

(v) negative value

What is limiting value of a function?

A limiting value of a function is a value that the function approaches as the input (or independent variable) approaches a certain value. It is also called the function's limit at that point. This concept is used in calculus to understand the behavior of functions and their derivatives.

so in all the cases we have to find the limiting value of f(x)

1. if the value of f(b) is very large the 1/f(b) is very small.

2. if f(b) is small then the value of 1/f(b) is very large

3. if f(b) is 0 then 1/f(b) is not defined.

4. if f(b) is positive then its reciprocal is also positive.

5. if f(b) is negative then its reciprocal is also negative.

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(I) 0

(ii) The infinite (very large value)

IIII, undefinable

(iv) A favorable value

(v) negative value

What does a function's limiting value mean?

A function's limiting value is a point that the function approaches as the input (or independent variable) gets closer to a particular value. At that time, it is also known as the function's limit. Calculus makes use of this idea to comprehend how functions behave and how their derivatives work.

Therefore, we must always determine the limiting value of f. (x)

1. The value of 1/f(b) is very small if the value of f(b) is very large.

2. The value of 1/f(b) is very large if f(b) is tiny.

3. 1/f(b) is not defined if f(b) is 0.

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4
What is angle G?
70°

Answers

Step-by-step explanation:

based on you input, I would suggest you divide 70 by 4 to get 17.5.

that is the answer. trust.

#quanta #vesperdiagram

-8.8/x = 1.5/10
Pls help

Answers

Answer:

x = 58.67

Step-by-step explanation:

[tex]\frac{-8.8}{x}[/tex] = [tex]\frac{1.5}{10}[/tex]

Cross multiply

1.5x = (-8.8)(10)

1.5x = -88

Divide, solve for x

x = -88/1.5 = -58.6666667 = around -58.67

The rule for the glide reflection that maps △ABC with vertices A(–4, –2), B(–2, 6), and C(4, 4) to △A′B′C′ with vertices A′(–2, –2), B′(0, –10), and C′(6, –8) is T⟨a, b⟩ ∘ Rx-axis where

Answers

The ΔABC reflects across x-axis with point a=2 and scale factor of x+2 to form the ΔA'B'C'.

What is reflection?

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another.

The vertices of ΔABC is given as -

A(–4, –2), B(–2, 6), and C(4, 4)

The vertices of ΔA'B'C' is given as -

A′(–2, –2), B′(0, –10), and C′(6, –8)

To find the scale factor of the reflection use the formula -

x + a = x' and y + b = y'

Substitute the values in the equation.

For vertex A and A' -

x1 + a = x1'

-4 + a = -2

a = -2 + 4

a = 2

y1 + b = y1'

-2 + b = -2

b = -2 + 2

b = 0

For vertex B and B' -

x2 + a = x2'

-2 + a = 0

a = 0 + 2

a = 2

y2 + b = y2'

6 + b = -10

b = -10 - 6

b = -16

For vertex C and C' -

x3 + a = x3'

4 + a = 6

a = 6 - 4

a = 2

y3 + b = y3'

4 + b = -8

b = -8 - 4

b = -12

It can be seen that the values of a is constant whereas the values of y varies. This happens due to reflection of coordinates across the x-axis.

Therefore, the reflection happens across the x axis.

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please help with linear function equations

Answers

Answer:

f(x) = 0.5x

Step-by-step explanation:

For this problem, we simply have to find the constant of proportionality between x and f(x). In other words, what x is multiplied by to get f(x).

Since this proportion is constant (meaning it doesn't change), all we have to do is divide an f(x) value in the table by its corresponding x value.

p = f(x) / x

p = -2 / -4

p = 1/2 = 0.5

We can show the relationship of x to f(x) with the equation f(x) = px, which can be simplified using the constant of proportionality that we just solved for.

f(x) = 0.5x

Please help to answer this qns.. 6th grade algebra

Answers

The linear function that gives the number of matchsticks required to make the nth pattern is given as follows:

M(n) = 15n.

How to define the linear function?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.

When a linear function represents a proportional relationship, it means that the intercept is of zero.

As for each pattern the number of sticks is increased by 15, the slope is of 15 and the equation is given as follows:

M(n) = 15n.

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Solve 2 4/5x=−1 1/4 . Write your answer as a fraction in simplest form.

Answers

Answer: -56/55

Step-by-step explanation:

2 4/5x = -11/4

14/5x = -11/4

Cross multiply:

-55x = 14 * 4 = 56

x = -56/55

There are two different pathways around a circular lake. The circular pathway is inscribed inside of a square pathway. The circular pathway has an area of 768 square feet. How far would a person walk if she walked around the square pathway? Use 3 for pi.

Answers

The person walks 128 feet if she walked around the square pathway.

What are the 2D shapes?

The plane forms that can be sketched on a flat (or plane) surface or a piece of paper are known as 2D shapes. Every 2D shape has different attributes, like area and perimeter. Some of the two-dimensional objects have sides and corners, while others have curved edges.

Given two pathways,

circular and square, and the circular pathway is inscribed inside of a square pathway,

area of circular pathway = 768 square feet

area of circle = π/4*d²

where d is the diameter

768 = π/4*d²

768*4 = πd² (π = 3)

3072/3 = d²

d = √1024

d = 32 feet

since the circle is inscribed in a square the length of a side of square is equal to the diameter of the circle,

d = a = 32 feet

to find the perimeter of the square path,

perimeter of square = 4a

perimeter of square = 4*32

perimeter of square = 128 feet

Hence the person has to cover 128 feet if she walked around the square pathway.

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graph the equation y=2/3x-1 iready quiz graph linear equations

Answers

Answer: To graph the equation y = 2/3x - 1, we can start by finding some points that satisfy the equation.

We can pick any value for x and substitute it into the equation to find the corresponding y-value.

For example:

When x = 0, y = (2/3)(0) - 1 = -1

When x = 1, y = (2/3)(1) - 1 = -1/3

When x = 2, y = (2/3)(2) - 1 = 1/3

When x = 3, y = (2/3)(3) - 1 = 2/3

We can plot these points on a coordinate plane and then connect them with a straight line to graph the equation.

The graph will be a line that passes through the points (0, -1), (1, -1/3), (2, 1/3), and (3, 2/3).

Step-by-step explanation:

Find the quartile
49, 27,10,76, 91, 86, 40, 38, 15, 33, 12, 87, 60, 9, 80

Answers

Answer:

uh 6

Step-by-step explanation:

10??????????????????????????6????

The interquartile range?

I believe it is 65.

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For example 0.25, 0.50, and 0.35 is converted to 25%, 50% and 35%. while in horizontal flight at a speed of 20 m/s, a baseball of mass 0.11 kg is struck by a bat. after leaving the bat, the baseball has a speed of 29 m/s in a direction opposite to its original direction. the magnitude of the impulse given the ball is Which of the following could be used in the definition to describe EnvironmentalScience?Environmental science is a branch of science that studies the relationship between organisms and their environment.A part of science that encompasses topics such as climate change,energy, endangered species, land use, and more.An example would include a student studying water pollution mightcollect and analyze samples from lakes and streams to discover how pollution impacts these ecosystems.All of the options describeEnvironmental Science.Only two of the options describe Environmental Science. find cot theta, cos theta, sec theta, A skydiver is falling through the air because his:____. question 7 options: a. weight is over 100 n b. weight force down is greater than the air drag c. drag force needs to be at least 50 n because nothing can stop gravity from making an object fall what is the approach to ethics that focuses on the fair and impartial creation and application of rules? Which of the following video ad formats are optimized for engagement and designed to help customers think of you first when theyre looking to buy?a. Non-skippable in-stream ads and in-feed video adsb. Non-skippable in-stream ads and skippable in-stream adsc. Skippable in-stream ads and bumper adsd. Skippable in-stream ads and in-feed video ads Which of the following would be the best title for this image?"You may only be fifteen, Julie, but you have the right ofdue process just like an adult."A: The Effect of Gideon v. WainwrightB: The Effect of Miranda v. ArizonaC: The Effect of in re Gault30D: The Effect of the Fifth Amendmentplease choose a,b,c or d g a savings account earns 5 percent. if the saver is in a 10 percent tax bracket, the after-tax savings rate of return would be percent. (round your answer to 2 decimal places.) multiple choice 0.50 4.50 10.00 5.25 5.00 D Study the Example showing how to write the equation of a line in slope-intercept form from a graph. Then solve problems 1-5. Example An oceanographer is studying the growth of giant kelp. She selects one giant kelp plant and records its height each day. Then she draws this graph. What is the equation of the line in slope-intercept form? Define your variables. (0, 10) and (2, 60) are two points on the line. 60 - 10 2-0 = 50, or 25 m= Height (cm) 120 100 80 y 60 40 20 0 The slope is 25. The line intersects the y-axis at (0, 10). The y-intercept is 10. The equation y = 25x + 10 shows the height, y, of the giant kelp plant after x days. 0 1 3 4 2 Time (days) What do the slope and y-intercept in the Example represent in this situation? English 12 B: Lord Byron Discussion1. You have learned that the Romantic Movement uses the term romantic in a different way than people might use it in daily life. What elements of the Romantic Movement do you see in the poetry of this unit? 2. How does Lord Byron's text, "For Music" represent the ideas or values of the Romantic Movement? 3. How do the elements of meter and structure affect or enhance Byron's message? identify the following behaviors as examples of either scientific thinking or intuitive thinking. a doctor taps the right knee in an individual who was in a car accident and has sustained damage to the right dorsal root of the lower spinal cord. which motor response would you expect? Last summer, you started a dog walking business in your small town. demand has been steady, but you are concerned about because ___ startup costs are low.O The bargaining power of buyersO The bargaining power of supplierO THe threat of substitutesO Rivarly among competitorsO potential new entrants Which stage direction from "in the victory garden" indicates that time has passed? pearl and olive wills are sitting on the front porch of their house in a chicago neighborhood in 1944. (turning to henry, who has reached the porch) pearl and henry are working in the victory garden they have made together. it is the middle of july. A simple pendulum and a mass hanging on a spring both have a period of 1$ when set into small oscillatory motion on Earth. They are taken to Planet X, which has a larger acceleration due to gravity. Which of the following statements is true about the periods of the two objects on Planet X compared to their periods on Earth a. Both are shorter b. Both are the same e. Both are longer d. The period pf the mass on the spring is shorter, that of the pendulum is the same e. The period of the pendulum is shorter, that of the mass on the spring is the same, Randall purchased a flat screen TV for $1090. The tax rate was 8.5%. What was the total cost of his purchase?