PLEASE HELP f(x)=x^2-12x+35 g(x)=x−5, find(f⋅g)(x)

Answers

Answer 1

Step-by-step explanation:

this is a multiplication dot, right ?

so,

(f.g)(x)

or

(f×g)(x)

any arithmetic operation (like +, -, ×, ÷) between 2 functions is done by applying that operation to the functional expressions.

(f×g)(x) = (x² - 12x + 35)(x - 5) =

= x³ - 5x² - 12x² + 60x + 35x -175 =

= x³ - 17x² + 95x - 175

Answer 2

Step-by-step explanation:

(f.g)(x) = f(x) . g(x)

= (x² - 12x + 35)(x - 5)

=x(x²-12x+35) - 5(x²-12x+35)

= x³-12x²+35x-5x²+60x-175

(f.g)(x)=x³-17x²+95x-175


Related Questions

A bag contains 18 red marbles. The ratio of red marbles to blue marbles is 6 to 9. Find the number of blue marbles in the bag.

Answers

The ratio tells us that every 6 red marbels there are 9 blue marbels. We have 6 * 3 red marbels, so we'll have 9 * 3 blue marbels, or 27 blue marbels

what is 5x5+9x7
Whell help please i just wanted to put 5x5+9x7 but it didnt let me so yay

Answers

Answer: 88

Step-by-step explanation:

Answer: 88

Step-by-step explanation: 5x5=25 + 9x7=63 ----> 25+63= 88

b. Consider a circle with centre O and radius of 4 units. The distance of point P is 2 units from centre. Find the distance of inverse of point P' from the centre O.​

Answers

The distance of the inverse of point P' from the centre O is also 4 units. This is because the inverse of a point is the point on the opposite side of the circle from the original point, and the radius of the circle is 4 units. Therefore, the distance of the inverse of point P' from the centre O is also 4 units.

Write and solve an equation to find the value of x.

Answers

Answer:

x = 60

Step-by-step explanation:

Let the two opposite angles be equal and let's call them y.

Because of the theory of angles on a straight line 120 +y = 180

y = 60

Because of the theory of angles on a straight line 2x + y = 180

2x + 60 = 180

2x =  120

x = 60

Alternatively. (also a lot easier)

120 and 2x are opposite angles so they are equal and so;

2x = 120

x = 60

Please mark as brainliest if this answer is helpful.

The annual gym subscription for a single member is Rs.1000, while an annual family membership is Rs.1500. The gym is considering increasing all membership fees by the same amount. If this is done then a single membership would cost 5/7 of a family membership. Determine the amount of the proposed increase.

Answers

The amount of the proposed increase is, Rs 1071.4

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The annual gym subscription for a single member is Rs.1000,

And, An annual family membership is Rs.1500.

Here, A single membership increased cost 5/7 of a family membership.

Hence, The increased cost = 5/7 of 1500

                                          = 1071.4 Rupees

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ1

Make a box plot for the given data : 17,29 ,32,30,14,9,39,10,32,23

Answers

Answer:

It can't add a plot for those numbers-

Step-by-step explanation:

Determine whether y varies with x if so find the constant of variation and write the equation A. No b. Yes k= -2 and y= -2x

Answers

The equation is y = 2x and the constant of variation k = 2

Therefore, the correct answer is option d.

Here, we can clearly see that y varies directly with x, because as x increases, y increases with the same proportion and vice versa. The constant of variation, k, is the coefficient of proportionality between x and y. To find the constant of variation, we can divide the value of y by the value of x for any one of the given points.

For example, for the point (-2, -4) we have:

k = -4 / -2 = 2

So the equation relating x and y is: y = kx = 2x

Hence, the equation is y = 2x and the constant of variation k = 2

Therefore, the correct answer is option d.

Read more about the constant of variation:

brainly.com/question/25215474

#SPJ4

The complete question is -

Determine whether y varies directly with x. If so, find the constant of variation and write the equation.

x | y

-2 | -4

-4 | -8

-16 | -32

a. No

b. yes; k=-2 and y=-2x

c. yes; k=1/2 and y=1/2x

d. yes; k=2 and y=2x

How does the parabola open? Is the vertex a minimum or maximum value?
g(x) = (4-x)(2+7x)

Answers

Answer:

g (x) = −7 x 2 + 26 x + 8

Step-by-step explanation:

-6/7 on a coordinate plane ( I need 3 ordered pair if so pls help)

Answers

-6,7 is in 2nd Quadrant of a coordinate plane because the coordinate of x is negative integer and the coordinate of y is positive integers.

What is coordinate?

It is possible to find any point in a 2D plane or 3D space using coordinates, which are ordered pairs of points. We may have observed the use of grids in mathematics. We can plot any point using these grids and its coordinates.

Cartesian coordinates, also known as the coordinates of a point in a 2D plane, are two integers, or occasionally a letter and a number, that identify a specific point's precise location on a grid. This grid is referred to as a coordinate plane.

The X-axis is the horizontal axis and the Y-axis is the vertical axis of a coordinate plane, which has four quadrants.

To plot -6, 7 point on coordinate first we find the point -6 on the left side of plane on x axis. the we go upward and find point y=7 parallel to y axis.

this point is -6,7.

To learn more about coordinate visit:

brainly.com/question/29268522

#SPJ1

another one 2 more after this

Answers

The answer is 1.72 in scientific notation

5 times a number,incrased by 8

Answers

45 is the answer hope this helps

Answer:

5 × x + 8

Would be the equation you are looking for.

The integral 1 π(y2−y4) dy 0 represents the volume of a solid. Describe the solid.
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y2 and x = y4 around the x axis
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y2 and x = y4 around the y axis
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the x axis
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the y axis

Answers

The correct option is (d). The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the y axis

The difference between the areas beneath the two curves that form a boundary is the area between the curves. You will then have the area between the two curves, or the difference, between them.

In the cartesian coordinate system, a plane is divided into four areas by the X-axis, a horizontal line, and the Y-axis, a vertical line. The term "quadrant" refers to these four areas.Use washer method:

The washer method enables us to use cylindrical discs with holes to compute the volume of solids in a rotation.

As we have mentioned, the washer method is an extension of the disk method. This technique is established so that we can also calculate for the volume of the solid returned by rotating the region bounded by two curves over the x and y axis.

[tex]$$\begin{aligned}& V=\int_a^b \pi\left(x_1^2-x_2^2\right) d y \\& =\int_0^1 \pi\left(y^2-\left(y^2\right)^2\right) d y \\& =\int_0^1 \pi\left(y^2-y^4\right) d y\end{aligned}$$[/tex]

Therefore, the solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y² around the y axis.

For more such questions on washer method

https://brainly.com/question/14317655

#SPJ4

Share $60S in the ratio 4:5:7:

Answers

Answer:

15:18.75:26.25

Step-by-step explanation:

4:5:7

Total=16

60/16 = 3.75

4 x 3.75 = 15

5 x 3.75 = 18.75

7 x 3.75 = 26.25

15:18.75:26.25

Answer: $15 : $18.75 : $26.25

Step-by-step explanation:

4 + 5 + 7 = 16

4/16 × $60 = $15

5/16 × $60 = $18.75

7/16 × $60 = $26.25

tony wants to add 97 to 298 and first add 100 to 300 what must he now subtract from this result to obtain 97+298

Answers

Step-by-step explanation:

Let A be the sum from 100 to 300

so the sum of 97 to 298 =

A - (299+300) + 97 +98

= A - 403

How is a right triangle used to find the sine and cosine of an acute angle is there a unique right triangle that must be used?

Answers

We find the sine and cosine of an acute angle by taking the ratio of the length of the side opposite to the angle with respect to the length of the side adjacent to the acute angle.

What is the tangent of the angle?

The ratio of the right-angle triangle's base or perpendicular is known as the tangent of the angle.

The ratio of two of the right-angled triangle's three sides is used to define the sine, cosine, and tangent of an acute angle.

Here,

We have to find out how is a right triangle used to find the sine and cosine of an acute angle is there a unique right triangle that must be used.

We concluded that a right triangle can be used to determine the tangent of any acute angle, by taking the ratio of the length of the side opposite to the angle with respect to the length of the side adjacent to the acute angle.

Hence, we find the sine and cosine of an acute angle by taking the ratio of the length of the side opposite to the angle with respect to the length of the side adjacent to the acute angle.

To learn more about the tangent of the angle from the given link

https://brainly.com/question/8846313

#SPJ4

I need help, I don’t know what comes next I’m confused???

Answers

Answer:

x^2-9

Step-by-step explanation:

-3 + 3 = 0 so the x terms cancel out.  This leaves you with only x^2-9

. Mr. Johannsen has a farm with 3 cows, 8 chickens, and some ducks. If the total number of farm animal legs is 40, how many ducks does Mr. Johannsen have on his farm

Answers

The number of ducks on the farm is 12 legs / 2 legs/duck = 6 ducks.

To determine this:

Each cow has 4 legs, so the cows have 3 cows * 4 legs/cow = 12 legs.

Each chicken has 2 legs, so the chickens have 8 chickens * 2 legs/chicken = 16 legs.

We know the total number of farm animal legs is 40 legs.

So the number of duck legs can be calculated by subtracting the number of cow legs and chicken legs from the total number of farm animal legs: 40 legs - 12 legs - 16 legs = 12 legs.

Since each duck has 2 legs, the number of ducks on the farm is 12 legs / 2 legs/duck = 6 ducks.

To learn more about subtracting, visit:

brainly.com/question/2346316

#SPJ4

13. The number of pictures your printer
can print are shown in the table. Find
the rate in pictures per minute.
Minutes 2 4 6
8
Pictures 16 32 48 64
15.
16

Answers

Answer: The table shows the number of pictures that a printer can print at different intervals of time (measured in minutes). To find the rate in pictures per minute, we need to divide the number of pictures printed by the number of minutes it took to print them.

For example, at 2 minutes the printer printed 16 pictures. The rate of pictures printed per minute is 16 pictures / 2 minutes = 8 pictures/minute.

Similarly, at 4 minutes the printer printed 32 pictures. The rate of pictures printed per minute is 32 pictures / 4 minutes = 8 pictures/minute

And, at 6 minutes the printer printed 48 pictures. The rate of pictures printed per minute is 48 pictures / 6 minutes = 8 pictures/minute.

And, at 8 minutes the printer printed 64 pictures. The rate of pictures printed per minute is 64 pictures / 8 minutes = 8 pictures/minute.

From this it can be seen that the printer has a constant rate of 8 pictures per minute, independent of the number of minutes, it is producing 8 pictures/min.

The value 15 is not related to the table, so it's not the rate, and 16 is not the rate either, it is the number of pictures printed at 8 minutes.

Step-by-step explanation:

If 70% of the members remembered the password but 21 members forgot, then how many members were there in all?
Please show work if you can
Thxs

Answers

Answer:

70 members

Step-by-step explanation:

Let's call the number of total members x. We know that 30% or  [tex]\frac{3}{10}[/tex] of the members forgot, so our equation looks like this:

[tex]\frac{3}{10}x = 21[/tex]

Then, we will multiply both sides by 10 to get rid of the fraction:

3x = 210

Finally, we will divide both sides by 3 to find out our variable, x:

x = 70

So, there are 70 members in total.

Hope this helped!

im not sure how to answer thank you

Answers

The value of x in the triangle WXY is 27°

What is an equation?

An equation shows how two or more numbers and variables are related to each other.

∠VWY + ∠XWY = 180° (sum of angle in straight line)

6x + ∠XWY = 180°

∠XWY = 180 - 6x

∠XYW + ∠ZYW = 180° (sum of angle in straight line)

∠XYW + 4x = 180°

∠XYW = 180 - 4x

∠XWY + ∠XYW + ∠YXW = 180° (angle in a triangle)

(180 - 6x) + (180 - 4x) + 90 = 180

450 - 10x = 180

10x = 270

x = 27°

The value of x is 27°

Find out more on equation at:https://brainly.com/question/2972832

#SPJ1

11. Manuel has two different recipes for chocolate chip
muffins. The table shows the amount of chocolate chips
needed per batch for each recipe. He has 10 cups of
chocolate chips. The equation 2b = 10 can be used to
find b, the number of batches of muffins he can make if
he uses Recipe 1. Can Manuel make 3, 4, or 5 batches if
he uses Recipe 1?
n
JID
Recipe Chocolate Chips (cups)
1
2
2
1

Answers

Answer:

  Manuel can make 5 batches of muffins using Recipe 1

Step-by-step explanation:

You want to know the value of b in the equation 2b = 10, where b is the number of batches of muffins Manuel can make using recipe 1.

Solution

Divide both sides of the given equation by 2 so solve for the value of b.

  (2b)/2 = (10)/2

  b = 5

Manuel can make 5 batches of muffins using Recipe 1.

<95141404393>

Morgan collects toy horses. she has 34 in her collection. she got 23 horses for her birthday. she dropped a box and broke 5 of them. how many toy horses does she has now

Answers

Answer:

34 + 23 = 57

57 - 5 = 52

Therefore, she has 52 toy horses.

A(3,-1); y= 1/3x +10
write an equation of the line passing through the given point that is parallel to the given line

Answers

the equation of the desired line is x = 3y + 6.

To find the equation of a line that is parallel to the given line

y = 1\3x + 10

and passes through the point (3,-1), since parallel lines have the same slope.

Therefore, the slope of the desired line is also 1\3.

Since the desired line passes through the point (3,-1), we can use the point-slope formula to write its equation:

y - (-1) = 1\{3}(x - 3)

Simplifying, we get

y + 1 = 1\ 3x - 1

Multiplying both sides by 3, we get

3y + 3 = x - 3

Adding 3 to both sides, we get

3y + 6 = x

Therefore, the equation of the desired line is x = 3y + 6.

To know more about such questions:-

https://brainly.com/question/15874858

4x + 4y = -8
-2x - 2y = 4

Answers

Answer: To solve this system of equations, you can use the substitution method.

First, you can solve one of the equations for one of the variables in terms of the other. For example, you can solve the first equation for y:

y = (-4x - 8)/4

Then, you can substitute this expression for y into the second equation to find the value of x:

-2x - 2((-4x - 8)/4) = 4

-2x + 4x + 8 = 4

2x = -4

x = -2

You can then substitute this value of x back into the first equation to find the value of y:

y = (-4(-2) - 8)/4 = (8 - 8)/4 = 0

Thus, the solution to the system of equations is x = -2 and y = 0.

Step-by-step explanation:

The annual cost of Randall coverage is 4900. The college pays 62% of the cost. How much is Devi red from his biweekly paycheck for medical insurance?

Answers

$1862  is Devi red from his biweekly paycheck for medical insurance

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

The annual cost of Randall coverage is 4900.

The college pays 62% of the cost.

We need to find How much is Devi red from his biweekly paycheck for medical insurance

Let us convert 62% to decimal value by dividing with 100

62/100=0.62

Now multiply 0.62 with 4900

0.62×4900

3038

Now subtract 3038 from 4900

4900-3038

1862

Hence, $1862  is Devi red from his biweekly paycheck for medical insurance

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ1

In the story "How Tacos Conquered America" and "The Story of Spaghetti and
Meatballs" have a lot of similarities and differences. Read more to find out what they
have in different and what they have in common. Although the stories had a lot of
similarities it also had a lot of differences for reference Where do these beloved foods
have their roots Tacos were Originated in mexico where a owner of taco bell
"There was just one problem. The cooks at the restaurant hated making them! Each cornmeal tortilla shell had to be
individually fried in scalding oil. The cooks had to turn each tortilla by hand until it was perfectly crispy. The process
was dangerous and painful. The cooks had the burns to prove it ".Juvencio Maldonado was going to
change that. He got to work and made his Mechanical fryer which made up to 7 tacos at a time
and no more burns.



Dose this sound good

Answers

uhm Yes it sounds good

The top of a plateau is the highest point in an area. The difference between the top of the plateau and the lowest point in the area is 250 meters. Which word describes this 250-meter measurement

Answers

Relief refers to the highest and lowest point elevation in an area.

Relief

Relief is the term used for the differences in height from place to place on the land’s surface and it is greatly affected by the underlying geology. Relief relies on the hardness, permeability and structure of a rock.

elevation

The elevation of a geographic location is its height above or below a fixed reference point, most commonly a reference geoid, a mathematical model of the Earth's sea level as an equipotential gravitational surface.

geology

Geology describes the structure of the Earth on and beneath its surface, and the processes that have shaped that structure. It also provides tools to determine the relative and absolute ages of rocks found in a given location, and also to describe the histories of those rocks.

Learn more about Relief here :-

https://brainly.com/question/12545742

#SPJ4

Answer: Relief

Step-by-step explanation:

Relief refers to the highest and lowest point elevation in an area.

Slope is the measure of steepness

Topography refers to the arrangement of the land in an area

Elevation on the other hand is the distance above sea level

HELPPPPPP PLEASEeeeeeeeeeeeeee

Answers

A right triangle's hypotenuse is its longest side, its "opposite" side is the one that faces a certain angle, and its "adjacent" side is the one that faces the angle in question.

How do you find the sides of a triangle?

In a right triangle, the hypotenuse is the longest side, the "opposite" side is the one that faces a particular angle, and the "adjacent" side is the one that faces that angle.

Step 1: Simplify both sides of the equation.

[tex]$$4 g-6=8$$\\Step 2: Add 6 to both sides.$$\begin{aligned}& 4 g-6+6=8+6 \\& 4 g=14\end{aligned}$\\$Step 3: Divide both sides by 4 .$$\begin{aligned}& \frac{4 g}{4}=\frac{14}{4} \\& g=\frac{7}{2}\end{aligned}$$[/tex]

[tex]$g=3 \frac{1}{2}$[/tex]

Therefore, the correct answer is option a)[tex]$g=\frac{7}{2}$[/tex].

To learn more about sides refer to:

https://brainly.com/question/24487155

#SPJ1

Round 7.3084 to 2 decimal places.

Answers

Answer:

[tex] \sf \: 7.31[/tex]

Step-by-step explanation:

Now we have to,

→ round a number to 2 decimal places.

The number is,

→ 7.3084

Let's solve the problem,

→ 7.3084

→ ≈ 7.308

→ [tex] \boxed{ \sf ≈ 7.31} [/tex]

→ ≈ 7.3

Hence, the answer is 7.31.

Consider sequences of positive real numbers of the form , in which every term after the first is 1 less than the product of its two immediate neighbors. For how many different values of does the term 3000 appear somewhere in the sequence ?
a. 1
b. 2
c. 3
d. 4
e. more than 4

Answers

No two values of x in the computation we just did are equal, there are 4 different values of x for which the sequence contains the value 2001.

What is meant by sequences?

An ordered list of numbers is all that a sequence is. Number series are collections of numbers that adhere to a pattern or guideline. An arithmetic sequence is one where the rule is to add or take away a number each time.

To estimate a few terms of the sequence in order to obtain a feel how it looks like.

In our case, the definition is that [tex]$\forall$[/tex] (for all) [tex]$n > 1: a_n=a_{n-1} a_{n+1}-1$[/tex].

This can be rewritten as [tex]$a_{n+1}=\frac{a_n+1}{a_{n-1}}$[/tex].

We have [tex]$a_1=x$[/tex] and [tex]$a_2=2000$[/tex], and we estimate:

[tex]$& a_3=\frac{a_2+1}{a_1}=\frac{2001}{x} \\[/tex]

[tex]$& a_4=\frac{a_3+1}{a_2}=\frac{\frac{2001}{x}+1}{2000}=\frac{2001+x}{2000 x} \\[/tex]

[tex]$& a_5=\frac{a_4+1}{a_3}=\frac{\frac{2001+x}{2000 x}+1}{\frac{2001}{x}}=\frac{\frac{2001+2001 x}{2000 x}}{\frac{2001}{x}}=\frac{1+x}{2000} \\[/tex]

[tex]$& a_6=\frac{a_5+1}{a_4}=\frac{\frac{1+x}{2000}+1}{\frac{2001+x}{2000 x}}=\frac{\frac{2001+x}{2000}}{\frac{2001+x}{2000 x}}=x \\[/tex]

[tex]$& a_7=\frac{a_6+1}{a_5}=\frac{x+1}{\frac{1+x}{2000}}=2000[/tex]

At this point we see that the sequence will become periodic: we contain [tex]$a_6=a_1, a_7=a_2$[/tex], and each subsequent term exists uniquely determined by the previous two.

Hence 2001 appears, it contains to be one of [tex]$a_1$[/tex] to [tex]$a_5$[/tex].

As [tex]$a_2=2000$[/tex], we only have four possibilities left.

Clearly [tex]$a_1=2001$[/tex] for x = 2001, and [tex]$a_3=2001$[/tex] for x = 1.

The equation [tex]$a_4=2001$[/tex]

solves to [tex]$x=\frac{2001}{2000 \cdot 2001-1}$[/tex], and the equation [tex]$a_5=2001$[/tex] to [tex]$x=2000 \cdot 2001-1$[/tex]

There are four alternative values of x for which the sequence contains the value 2001 since no two values of x are equal in the computation we just performed.

Therefore, the correct answer is option (D) 4.

The complete question is:
Consider sequences of positive real numbers of the form x, 2000, y, ........  in which every term after the first is 1 less than the product of its two immediate neighbors. For how many different values of x does the term 2001 appear somewhere in the sequence?

(A) 1

(B) 2

(C) 3

(D) 4

(E) more than 4

To learn more about sequences refer to:

https://brainly.com/question/1109502

#SPJ4

Other Questions
If you cool down a container of gas, there will be _______ collisions with the side of the container, resulting in ______ pressure. The table shows the amount of certain school supplies left over in the school bookstore at the end of the year.Item Total Pens 36Markers 48Erasers 24The bookstore manager will make packages of the remaining school supplies and sell them for $5 per package. Each package will be identical and contain the same number of items, and there will be none left over. The manager wants to create the greatest number of packages possible. How much will the bookstore earn if all of the packages of supplies are sold?Multiple choice question. I have to do an argumentative essay for English.Please tell me what my essay is missing.The topic of extreme sports is crucial for determining and assessing their risk and knowledge before participating. The people most impacted are children interested in extreme sports and their parents, who are trying to assess the danger. Extreme sports are dangerous; they can result in a painful retirement, broken limbs, and permanently paralyzed body parts. You don't want to be paralyzed by extreme sports, do you?Extreme sports are not worth the risk. They often result in countless injuries with harrowing and surreal consequences. Many celebrities, such as Detroit Lions guard Mike Utley, became paralyzed from the chest down after hitting their heads on the artificial turf in the fourth quarter of a 1991 game, breaking their 6th and 7th cervical vertebrae. There are many examples of NBA players with broken limbs, like Anthony Davis of the Pelicans.Moreover, Vani Sabesan, M.D., an Associate Professor, states, "There is no adequate protection that can prevent accidents, falls, trips, broken bones, and concussions." Over 40,000 injuries related to extreme sports are head and neck injuries, which can be very serious and lead to lifelong disabilities.Landon's family says, "He broke his neck after participating in extreme sports activity." This quote confirms my claim. It shows the disastrous consequences correlated with extreme sports and the inability of children to assess the danger because the brain is still developing.The correlation between young people and sports is negative, and participating in them can have consequences. The outcome of abstinence from extreme sports is fewer injuries, fewer deaths, and less to mourn for. Consider your construction of pentagon ABCED.What segments, if any, are parallel? Explain how you made yourdetermination. Please help I have no idea Why economics say all resources are scarce? What are the real names of East Egg and West Egg? As a result of sexual reproduction, an organism can pass a gene mutation to its offspring if the mutation occurs in Please summarise the facts for each answer and write a seperate sentence/paragraph for each of the following.What are the all the Jewish facts about the following:-The Menorah-The star of david-The torah scrolls-the Mezzuzah-The Tallit-The Kippah Jessie sorted the coins in her bank she made 7 stacks of 6 dimes and 8 stacks of 5 nickels. She then found 1 dime and 1 nickel. How many dimes and nickels does jessie have in all a. 84 b. 82 c. 80 d. 28 Can soneone please explain enzymes in a clear and in an understandable way? What is a confederal system? Hunter wrote a dialogue between a young mother and the child she is about to give up for adoption. Right after the mother explains to her daughter that they will not be able to stay together, the daughter notices a puppy near a tree close to the bench they are sitting on. As the mother begins to tell her daughter a story about her own childhood, the girl watches the puppy chase a butterfly. What term BEST characterizes Hunters descriptions of the puppy and its actions? A. personification B. synopsis C. symbolism D. context What positions did the West take on tariffs and a federal role in promoting economic growth? What does a thesis statement require? Which sentences show that Swift believes older people may be wiser because of their experiences?O 1 and 2O 1 and 3O 2 and 3O 3 and 4 Read the sentence below from paragraph 5 of the text.If you want to see lacemakers in action, take a day trip to the seaside towns ofIguape or Prainha, both of which boast lacemaking centers where you can watchwomen and girls making lace. Ask the lacemakers to indicate which patterns aremost traditional, as each town is known for its own patterns.How does the author advance her purpose in the sentences below fromparagraph 5?A She encourages everyone to visit Iguape and Prainha to see the authenticlacemakers.B She makes convincing statements about the higher cost of lacemaking inIguape and Prainha.C She provides information about the historical role Iguape and Prainha playedin creating the art of lacemaking.D She shares her feelings about the lacemaking practices in Iguape andPrainha that take advantage of women and girls. An increase in the expected real interest rate tends to raise desired saving, but lower desired investment. Explain how and why? Also give an example Which key will s the ring finger located on When heated, calcium carbonate forms calcium oxide and carbon dioxide. The equation for the reaction is: CaCO3 + CaO + CO2 The relative atomic masses are Ar Ca = 40, C = 12,0 = 16 A student heated 25 g of calcium carbonate. What mass of carbon dioxide was produced? I Mass of carbon dioxide = (4 marks)