Which one is the function here and why

Which One Is The Function Here And Why

Answers

Answer 1

The fourth option D is a function of the form of f(x) = ax(x-2)(x+2) where a is a constant.

We know that any function of the form y = f(x) will pass through the x axis at points such that there is only 1 value of x for a value of y.

Of all the options given the option D is in the form of polynomial expression which crosses the x-axis at points (-2,0 ) ,  (0,0) and (0,2).

The graph of the function at D will be of the form:

f(x) = ax(x-2)(x+2) a is a constant.

At y = 0 , x =-2 ,0 and 2.

Therefore for one value of y there are 3 values of x. but every value of x is mapped into one single value of y only.

For option A at x = 2 , y ahs two values -2 and 2 so it is not a function of x.

For option B  the graph is not differentiable at certain points, hence it is not a function.

For option C again y has 2 values for a single x.

The values of x are used to denote the roots and zeros of the expression, which are also on the left side of the equation, and to satisfy the equation. A quadratic problem should only have two possible solutions. One contends that if there is just one solution, the problem has numerous causes.

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Related Questions

Alex has drawn two circles, A and B.
Circle A has a diameter of 18 cm and
circle B has a diameter of 16 cm.
How much wider was the pair of
compasses when Alex drew circle A than
when he drew circle B?

Answers

Answer:

Circle B and 3.14 cm

Step-by-step explanation:

Not 100% sure but good luck :)

The length 1 cm wider was the pair of compasses when Alex drew circle A than when he drew circle B.

What is a diameter?

A straight line that runs through the sideways of a body or figure, particularly a circle or sphere, is called as a diameter of a circle or sphere.

Given:

Alex has drawn two circles, A and B.

Circle A has a diameter of 18 cm.

So, the radius is 18/2 = 9 cm.

And circle B has a diameter of 16 cm.

So, the radius is 16/2 = 8 cm.

To find how much wider was the pair of compasses when Alex drew circle A than when he drew circle B:

The difference in the radius,

= 9-8

= 1 cm

Therefore, when Alex drew circle A than when he drew circle B, the compass was wider 1 cm.

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Write the equation of the parabola that has vertex (-5,6) and directrix y=2.

Answers

The equation of parabola is ( x + 5 )² = 16 ( y - 6 )

What is a Parabola?

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k - p

Given data ,

The vertex of the parabola is ( -5 , 6 )

The directrix of the parabola y = 2

From the equations of parabola , we know that

The vertex ( h , k ) = ( -5 , 6 )

h = -5

k = 6

y = k - p

y = 2

k - p = 2

Substituting the value k in the equation , we get

6 - p = 2

On Simplifying , we get

p = 4

So , now we have the values of h , k , and p

The equation of the parabola is

( x - h )² = 4p ( y - k )

Substituting the values , we get

( x - (-5) )² = 4 x 4 ( y - 6 )

( x + 5 )² = 16 ( y - 6 )

x² + 25 + 10x = 16y - 96

x² + 10x - 16y = -121

Hence , the equation of parabola is ( x + 5 )² = 16 ( y - 6 )

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Which ordered pair is in the solution set of y> -1/6x - 4?
A. (-8, 8)
B. (6,-5)
C. (4, -6)
D. (-2, -7)

Answers

Determine whether 8 > -191/48 is true or false :

=> True.

Other option are False.

Given,

In the question:

The set is given as:

y> -1/6x - 4

To check the which ordered pair is in the solution set of y> -1/6x - 4

Now, According to the question:

A) Substitute x = -8 , y = 8 into  y> -1/6x - 4

8 > -1/ 6 x (-8) - 4

LHS = 8

RHS = -1/ 6 x (-8) - 4 = -191/48

Write in the form

8 > -191/48

Hence, Determine whether 8 > -191/48 is true or false :

=> True.

Other option are False.

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Answer:

Step-by-step explanation:

One hundred people came to the company's Thanksgiving dinner. There were fifty-two more vegetarians at the dinner than non-vegetarians. How many vegetarians were at the dinner?

Answers

Answer:

52????? It's in the question.

Step-by-step explanation:

for a random sample of 65 overweight men, the mean of the number of pounds that they were overweight was 29. the standard deviation of the population is 4.3 pounds.

Answers

The best point estimate of the mean is 29 pounds.

Sample size n =65; sample means (X) =29; population std (s) =4.3

Since the sample size is more than 30 we can use the central limit theorem. Hence population means estimate is equal to the sample mean which is 29.

At 90% confidence z value = 1.645

Lower limit = X -z * s/[tex]n^{0.5}[/tex]= 29 -1.645 * 4.3/[tex]65^{0.5}[/tex] = 28.1

Upper limit = X -z * s/[tex]n^{0.5}[/tex] = 29 +1.645 * 4.3/[tex]65^{0.5}[/tex] = 29.9

At 95% confidence z = 1.96

Lower limit = X -z * s/[tex]n^{0.5}[/tex] = 29 -1.96 * 4.3/[tex]65^{0.5}[/tex] = 27.9

Upper limit = X -z * s/[tex]n^{0.5}[/tex] = 29 +1.96 * 4.3/[tex]65^{0.5}[/tex]= 30.1

95% confidence interval is larger. It has a wider range of values than 90% confidence. This is because we are covering more area on a normal curve with a higher confidence interval. So mean value is more likely to fall in the 95% range than the 90% range.

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The set of data in the table below represents a linear function.
X
Y
2
-15
5
-9
7
-5
10
1
13
7
Which is an equation for this function?

Answers

Answer:

y = 2x - 19

Step-by-step explanation:

Graph the points on the table and you'll be able to see the answer. That's how I went about it.

or use m = y^2 - y^1 divided by x^2 - x^1 to find the slope, then solve for the initial value from there

College freshmen were asked if they were currently enrolled in Composition I. The results are shown in the table.

How many females are currently enrolled in Composition I?
A) 46
B) 73
C) 75
D) 119

Answers

73 females currently enrolled in Composition 1. So B is the answer

There are 73 females currently involved in the competition.

What is arithmetical operation?

The four basic arithmetic operations in Maths, for all real numbers, are: Addition (Finding the Sum; '+') Subtraction (Finding the difference; '-') Multiplication (Finding the product; '×') Division (Finding the quotient; '÷')

Given that, there is a table of male and female involved and not involved in a competition,

Female column total = 103

103-57 = 46

Female row total = 119

119-46 = 73

Hence, There are 73 females currently involved in the competition.

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how do i graph this?? it doesnt make any sense to me :(

Answers

Answer:

Basically you need to show on a graph the cost half of the Drinks and the Popcorn and then when everything is graphed and then the rest of the instructions are stated below:

A) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks. (3 points - 1 for x-intercept, 1 for -intercept, 1

PLEASE GIVE BRAINLIEST THANK YOU!!!

HELP! PLEASE! I WILL NAME YOU THE BRAINLIEST!
Solve the system by graphing.
y = 1/3x - 1
x - 3y = 3

(6, 1)
(0, −1)
This system has no solutions.
This system has infinitely many solutions.

Answers

Answer:

This system has infinitely many solutions.

Step-by-step explanation:

The graphic in both functions is the same line, which means the system has many solutions

A swimming pool is being filled with a hose. The hose fills the pool at a constant rate. The pool’s water level rises 30 inches in 15 hours.


What was the rate per hour of the water level change?



How long will it take for the water level to rise 4 feet?

Answers

Answer:

1. 2 inches per hr

2. 24 hrs

Step-by-step explanation:

30/15=2/1

4ft=48in

48/2=24

hope it helps

a conical tank has height 3 m and radius 2 m at the base. water flows in at a rate of 2 m3/min. cone with bottom radius 2 meters and height 3 meters. how fast is the water level rising when the level is 1 m and when the level is 1.8 m? (use decimal notation. give your answers to four decimal places.)

Answers

The speed at which conical tank water will rise is 9/8[tex]\pi[/tex] m/min.

What is cone?

A cone could be a three-dimensional geometric type with a flat base and a sleek tapering apex or vertex.

Main body:

The quick way of solving this is simply to consider the horizontal cross sectional area of the tank at the 2m water depth. This is  2/3  of the way up a tank having radius increasing linearly with depth, and so the radius is  2/3  of the 2m at the top, i.e:  4/3  m. So the area is:

πr²=π(4/3)2=16/9π

Now water having this cross section filling at 2 m³  per minute would fill a cylinder having this volume and cross section each minute. A cylinder has volume equal to cross section times length, so the cylinder would have a height of:

2/(16/9π)=9/8π metres

Therefore the water at this depth is rising at a rate of  9/8π  meters per minute.

The longer way around is to calculate the water volume for a given depth and differentiate. We know that the volume of a cone is a third that of a cylinder with the same dimensions, ie:  1/3πr²h . So if our tank has radius R and height H, then the radius of the surface of the water at depth h is  (R/H)h , and so the water volume having this depth is:

v=1/3π(R/H)h)²h=[tex]\frac{\pi r^{2} }{3H^3} h^2[/tex]

We’re interested in rate of change with respect to time, so let’s try differentiating this formula with respect to time, remembering that  h  is changing with time and so we need to use the chain rule:

[tex]\frac{dv}{dt}[/tex]=[tex]\frac{\pi r^{2} }{3H^2} 3h^2[/tex][tex]\frac{dh}{dt}[/tex]=[tex]\frac{\pi r^{2} }{H^2} h^2[/tex][tex]\frac{dh}{dt}[/tex]

Notice that we can solve this for [tex]\frac{dh}{dt}[/tex] , which is the rate of water height change, i.e: the value that we want:

[tex]\frac{dh}{dt}[/tex]= [tex]\frac{H^2 }{\pi r^{2}} h^2[/tex][tex]\frac{dh}{dt}[/tex]

The rate of change of water volume  dv/dt  is just the rate that water flows in, so now all we need to do is slot the given numbers into the equation:

dh/dt=2(3²/π2²2²)=9/8π meters per minute

Hence the answer is 9/8[tex]\pi[/tex] m/min.

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Evaluate. Write your anwer a a whole number or a a implified fraction.

5 –1

·
8 –2

=

Answers

Answer:

Step-by-step explanation:

so basically 2+2=3

a rectangle is inscribed in a right isosceles triangle with a hypotenuse of length . what is the largest area the rectangle can have?

Answers

The largest area of the rectangle is 2 square units.

We have a right angled isosceles triangle with hypotenuse 4 units.

so its base will be equal to the perpendicular  , let it be B

So we know ,

B² + P² = H²

2B² = H²

B²  = 16/2

B = 2√2

So base is equal to perpendicular = 2√2 units

Now let consider a rectangle inside the triangle with length 2x and the width y , and the area will become

A = 2xy  ....(1)

we see from the figure the length of the perpendicular AD drawn on the hypotenuse is

BD² + AD² = AB²

AD² = AB² - BD²

      = 8 - 4

AD² = 4

AD = 2 units

Now we see triangle ABD and AEG are similar to each other , So

AD/BD = AG/GE

2/2 = 2-y/x

therefore

x = 2-y

put this value in eqn (1)

A = 2(2-y)y

A = 4y - 2y²

Now to maximize the area we take the derivative of the equation and then put it equal to zero

∴ 4 - 4y = 0

y = 1

∴ x = 2-y = 2-1 = 1 units

So area will be maximum when length and width are 1 units each.

therefore , largest area (A) of the rectangle is  = 2xy = 2 square units.

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Fourteen more than the product of x and y

Answers

Answer:

14+(x*y)

Step-by-step explanation:

I Need help for this one is about linear equations

Answers

Answer:

not sure what the question is but if you look for the equation

it's
1/4 * x + 1
or in decimal
0.25x + 1

A chool will only accept tudent who core in the top 2 %of an admiion tet. If the normal ditribution with a mean of 70 %and a tandard deviation 5%. What i the minimum grade that a tudent mut core in order to be accepted?

Answers

Ninety-five percent of people have IQs between 70 and 130.99.7 percent of people have IQ scores between 55 and 145.With IQ scores between 55 and 145, only 0.3% of the population falls outside this range.

How likely is it that a student chosen at random will have an IQ of 115 or higher?

Since half should be over the normal of 100 (by evenness), this implies 50 - 34.13 = 15.87 (%) has an intelligence level score over 115.

Which level of understudies might have scored either higher than 90 or lower than 70?

That always prompts the same response: 95%!Since we are aware that one standard deviation equals five points, two standard deviations equal two x 5.As a result, 95% of scores fall between 70 and 90, which is 10 points above the mean of 80.

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What is the independent variable

Answers

Answer:

Your answer is correct.

Step-by-step explanation:

Answer:

p

Step-by-step explanation:

when p changes, it causes the equation to change

What is the equation of this line?

Responses

y=12x−3
y equals fraction 1 half end fraction x minus 3

y=−12x−3
y equals negative fraction 1 half end fraction x minus 3

y=−2x−3
y equals negative 2 x minus 3

y=2x−3
y equals 2 x minus 3
Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma negative 3 end ordered pair and the point begin ordered pair 4 comma negative 1 end ordered pair

Answers

The equation  of the line  in slope-intercept forms expressed as: y = y = 1x + 3

How to Write the Equation of a Line?

To wrote the equation of a line in slope-intercept form, first, find the slope (m) of the line, determine the y-intercept (b) of the line, then substitute the values into y = mx + b (equation in slope-intercept form).

Using two points on the line, (0, 3) and (4, -1):

Slope (m) = change in y / change in x = (3 - -1)/(0 - 4)

Slope (m) = 4/-4

Slope (m) = -1

The slope of the line is m = -1.

Find the y-intercept (b) by substituting one point, (x, y) = (0, 3), and m = -1 into y = mx + b and solve for b:

3 = 1(0) + b

3 = 0 + b

b = 3

Write the equation of the line by substituting b = 3 and m = -1 into y = mx + b:

y = 1x + 3

Thus, the equation in slope-intercept form of the line is expressed as: y = 1x + 3

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Zola took a picture of Greg standing next to a building. Greg is 5 feet tall. The picture Zola took
shows Greg as ½ inch tall. If the building is 25 feet tall in real life, how tall should the building be
in the picture? Explain.

Answers

Answer

2inch tall

Explanation

let the height of the building in the picture = y

5ft -––- ½ inch

20 ft -––- y inch

Cross multiply ✖️

20 × ½ = 5 × y

10 = 5y

10/5 = y

y = 2

Simplify the expression below as a simplified fraction.

(1+1/3)²−2/9

Answers

(1 + 1/3)^2 - 2/9

= (3/3 + 1/3)^2 - 2/9

= (4/3)^2 - 2/9

= 16/9 - 2/9

= 14/9

what's 33 ÷ 33 × 33 - 33 + 33

Answers

33 is the answer to what's 33 ÷ 33 × 33 - 33 + 33

Answer:

33

Step-by-step explanation:

first we divide 33 by 33 then we have 1 now we have times 33 which is 33 now 33-33 is 0 not we add 33 to 0 now we have 33

What is -4 (3-1) +2 simplified?

Answers

Answer: [tex]-4(3-1)+2=-4(2)+2=-8+2=-6[/tex]

For a project in her Geometry cla, Violet ue a mirror on the ground to meaure the height of her chool’ football goalpot. She walk a ditance of 12. 75 meter from the goalpot, then place a mirror flat on the ground, marked with an X at the center. She then walk 6. 55 more meter pat the mirror, o that when he turn around and look down at the mirror, he can ee the top of the goalpot clearly marked in the X. Her partner meaure the ditance from her eye to the ground to be 1. 75 meter. How tall i the goalpot? Round your anwer to the nearet hundredth of a meter

Answers

3.406 tall is the goalpost

given that

she walk a distance of 12.75 meters from the goalpost, then place a mirror flat on the ground, marked with an X at the center. She then walks 6. 55 more meters past the mirror

Her partner measures the distance from her eye to the ground to be 1. 75 meters.

based on the given condition [tex]\frac{1.75}{6.55}[/tex] = [tex]\frac{x}{12.75}[/tex]

                   x = [tex]\frac{1.75}{6.55}[/tex] ×12.75

                 x = 3.406

Therefore, 3.406 tall is the goalpost

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Leah makes $3.25 per hour. Lois makes $8.64 per hour. How much more does Lois make per hour than Leah

Answers

Answer:

$11.89 is the answer

Step-by-step explanation:

because $3.25 + $8.64 is $11.89

Hope this helps

kozol observes the strain on fremont's students at lunchtime, when all of the 3,300 students in attendance are served in one 30-minute meal period. one teacher calculates that the extended walk to the cafeteria and long food lines create a 10-minute window for students to eat. what often results is that many students go all day without a meal (176).

Answers

Kozol notices the stress on the 3,300 kids at Fremont during lunch, when the entire meal is provided in a single 30-minute period. One teacher estimates that the lengthy distance to the cafeteria and the lengthy queues for food provide children a 10-minute window during which to eat. As a result, many students frequently skip meals entirely (176).

Given,

Lunch was served to the pupils in this school in a single sitting, unlike the staggered luncheon sessions I saw at Walton High. 3,300 children cannot be fed at once due to physical limitations, the teacher explained. "The session lasts barely 30 minutes, and there is a very large line for children to obtain their food. They must wait in line for fifteen minutes before they can even walk there from their classes. They most likely have 10 minutes to eat their food. Many of them don't even try.

You've worked as a teacher, so you know what it's like for students to go a whole day without eating. Here at Fremont, the school day lasts eight hours.

Here,

Kozol notices the stress on the 3,300 kids at fremont during lunch, when the entire meal is provided in a single 30-minute period. One teacher estimates that the lengthy distance to the cafeteria and the lengthy queues for food provide children a 10-minute window during which to eat. As a result, many students frequently skip meals entirely .

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Given question is incomplete. Completed question is here;-

Unlike the staggered luncheon sessions I observed at Walton High, lunch was served in a single sitting to the students in this school. "It's physically impossible to feed 3,300 kids at once," the teacher said. "The line for kids to get their food is very long and the entire period lasts only 30 minutes. It takes them 15 minutes just to walk there from their classes and get through the line. They get 10 minutes probably to eat their meals. A lot of them don't try. You've been a teacher, so you can imagine what it does to students when they have no food to eat for an entire day. The schoolday here at Fremont is eight hours long."

From Kozol, Jonathan. The Shame of the Nation: The Restoration of Apartheid Schooling in America. New York: Crown, 2005. Print. The passage appears on page 176.

QUESTION 10/10 HELP ASAPP





!WILL GIVE BRAINLIEST TO WHOEVER ANSWERS THE OTHER 9 TOO.!

Answers

Answer: tyhe image / screenshot

Step-by-step explanation:

2^18 times 2^9 what is the missing exponent

Answers

The value of the exponent given as 2^18 times 2^9 is 2^27.

What is an exponent?

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

In this case, 2^18 times 2^9 will be illustrated thus:

= 2^18 times 2^9

= 2^(18 + 9)

= 2^27

The value is 2^27.

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i have no clue what this is can someone help me

Answers

Step-by-step explanation:

you have to transform the equations, so that in the end you have only x on one side, and everything else on the other.

and that is the solution.

remember, when doing such transformations, we have to do every change to both sides at the same time.

a)

x/5 = 3 | multiply both sides by 5

x = 3×5 = 15

b)

x/2 = 8.5 | multiply both sides by 2

x = 8.5×2 = 17

Answer:

a=15 b=17

Step-by-step explanation:

since we know x divided by something is 3 we do the inverse method so it's going to b 15. The same thing happened with b.

I hope this helps!!

natalie is paid 42 more per hour than travis. when natalie works for 40 hours and travis works for 35 hours, they earn $755 between them. how much does each earn per hour?

Answers

Using Linear equation we get , Travis and Natalie's combined hourly wages are $135 and $137.

Combined Natalie earns $2 more an hour than Travis.

Natalie works 40 hours

Travis works 35 hours

for his or her work Salary difference = $755

we have to find out what percentage each of them contributes per hour.

Let Travis earn in dollars per hour = x

So if he works 35 hours his earnings in dollars

= 35x

Natalie can earn in dollars per hour = x+2

So If she works 40 hours, her income will be in dollars = 40x + 80 [use distribution]

The income difference will be:

⇒ 40x + 80 -35x = 755

=> 5x = 675 => x = 135

So Travis' hourly rate = $135

Natalie's hourly rate = 135+2= $137

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What is the sum?
- 1 1/8 + (-1/2) = -1 1/8 + ( - 4/8) = ?

Answers

Answer:

[tex]-1\frac{5}{8}[/tex]

Step-by-step explanation:

-1 1/8 - 1/2 =- 1 1/8 -4/8

                 =  -9/8-4/8

                  =-13/8

                   =-1 5/8

Hopes this helps please mark brainliest

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Symbolism is what?O use of an object, figure, event, situation or other idea to represent something elseO nonhuman figure or abstract concept described as having human-like qualitiesO a word or phrase is written multiple times, usually for emphasisAuthor makes an indirect reference to a figure, place, event or idea originating outside the text. On December 31, 2024, the end of the fiscal year, California Microtech Corporation held its semiconductor business for sale at year-end. The estimated fair value of the segments assets, less costs to sell, on December 31 was $14 million. The semiconductor business segment qualifies as a component of the entity according to GAAP. Consider the following additional information:The book value of the assets of the segment at the time of the sale was $15 million.The loss from operations of the segment during 2024 was $3.9 million.Pretax income from other continuing operations for the year totaled $5.8 million.The income tax rate is 25%.Prepare the lower portion of the 2024 income statement beginning with income from continuing operations before income taxes. If i toss a fair coin five times and the outcomes are ttttt, then the probability that tails appears on the next toss is. can anyone help with: In one or two paragraphs summarize Cellular Respiration. Be sure to include the following words: Cellular respiration, Mitochondria, Cytoplasm, Glycolysis, pyruvates, Krebs cycle, Carbon Dioxide, NADH and FADH2 (high energy electron carriers), electron transport chain, Oxygen, Water, and ATP. Aspirin therapy has been used after ________ or recurrent _________ to reduce the risk of recurrence. Aspirin is contraindicated for anyone with ______________ ___________. Which two ancient civilizations had the most similar religious beliefs * Roman and Greek O Greek and Persian O Persian and Chinese Chinese and Roman? which of the following theories of mate selection assumes that the same kind of emotional bonds between parents and children are evident in adult intimate relationships 11. Katie wants to buy a dress. The regular price is $47.99, but it is on sale for 40% off. How much does the dress cost? 29, 15 Ill give brainalist + points which of the following is most likely to generalize to its population of interest? a random sample of 6 a stratified random sample of 120 a convenience sample of 12,000 a quota sample of 1,200 Last year, Melissa opened an investment account with $5200. At the end of the year, the amount in the account had decreased by 27%.(a) Fill in the blank to write the year-end amount in terms of the original amount. Write your answer as a decimal.(b) Use your answer in part (a) to determine the year-end amount in Melissa's account. Identify one social factor that influenced American imperialism.a. Strengthen alliancesb. Spread of religionc. Trade opportunitiesd. Spread of democracy the 1970 southern leaf blight wide-spread epidemic of maize was blamed on which of the following? Which of the following terms does NOT describe a casualty that could be deductible for tax purposes if it occurs in a federally-declared disaster area?SuddenWeakenedUnusualUnexpected if you think that the dollar is going to appreciate against the euro, you should group of answer choices buy put options on the euro. sell call options on the euro. buy call options on the euro. both a and b none of the options a 200 lb man carries a 20 lb can of paint up a helical staircase that encircles a silo with radius 15 ft. if the silo is 120 ft high and the man makes exactly four complete revolutions, how much work is done by the man against gravity in climbing to the top? ft-lbs Express using exponents and simplify any numerical coefficients: 4 4 4 b b c c c why were the new york draft riots important 2. When 47.5 J of heat are added to 13.2 g of a liquid, its temperature rises by 1.72 C. What ithe heat capacity of the liquid? Where are the direct and indirect objects?The dog ate my lunch.Mrs Smith baked William a birthday cake.Dylan fell off his skateboard.I sewed my daughter a new bedspread.The little girl gave her doll to Sally.