Which of the three following graphs display the same data? i. a bar graph titled county voter turnout (thousands) has year on the x-axis and number on the y-axis. 1992, 99; 1996, 107; 2000, 103; 2004, 97; 2008, 98. ii. a line graph titled county voter turnout (thousands) has year on the x-axis and number on the y-axis. 1992, 99; 1996, 107; 2000, 103; 2004, 97; 2008, 98. iii. a circle graph titled county voter turnout (thousands). cuyahoga county, 99; maricopa county, 107; fort bend county, 103; susquehanna county, 97; clark county, 98. a. i and ii b. i and iii c. ii and iii d. i, ii, and iii

Answers

Answer 1

The graphs that display the same data are a.  I and II

What is Data Representation?

This refers to the different ways in which a set of data are displayed in a certain place such as a bar graph, frequency table, line graph, etc.

Hence, we can see that from the evaluation of the data, there is the use of the same data in I and II as the bar and line graphs contain the same country voter turnout.

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Answer 2

Answer:

a

Step-by-step explanation:


Related Questions

A bag contains 8 red marbles, 4 blue marbles, and 1 green marble. if a marble is selected at
random, what is the probability that it is not blue?

Answers

Answer:

the odds that it not blue is 9 /13 or .692

Step-by-step explanation:

please help me I need assistance

Answers

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{-15})\qquad (\stackrel{x_2}{14}~,~\stackrel{y_2}{r}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{r}-\stackrel{y1}{(-15)}}}{\underset{run} {\underset{x_2}{14}-\underset{x_1}{2}}}~~ = ~~\stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{4}}\implies \cfrac{r+15}{12}~~ = ~~\cfrac{3}{4}\implies r+15 = \cfrac{12\cdot 3}{4} \\\\\\ r+15=9\implies \boxed{r=-6}[/tex]

6. Find the surface area of the regular pyramid shown to the nearest whole number. The figure is (1 point)
not drawn to scale.
11 m
12 m
6√3
01,540 m²
0770 m²
0396 m²
0749 m²

Answers

Area of hexagon

6(1/2BH)3BH3(6√3)(12)216√3m²

Now

area of upper 6 triangles

3BH3(11)(12)396m²

Total area

396+216√3770.112m²770m²

Answer:

770 m²

Step-by-step explanation:

The surface area of a regular pyramid comprises the area of the base (regular polygon) and the area of each of the slanted sides (triangles).

Apothem:  The line segment from the center of the regular polygon to the midpoint of one of its sides.

Area of the base

The base of the prism is a regular polygon with 6 sides (hexagon).

[tex]\textsf{Area of a regular polygon}=\sf \dfrac{1}{2}nsa[/tex]

where:

n = number of sidess = side lengtha = apothem

Given:

n = 6s = 12 ma = 6√3

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Base area}& =\sf \dfrac{1}{2}\cdot 6 \cdot 12 \cdot 6\sqrt{3}\\ & = \sf 216\sqrt{3}\:m^2\end{aligned}[/tex]

Area of one side

The sides of the regular pyramid are congruent triangles.

[tex]\textsf{Area of a triangle} = \sf \dfrac{1}{2} \times base \times height[/tex]

Given:

base = 12 mheight = 11 m

Substitute the given values into the formula:

[tex]\implies \textsf{Area of a triangle} = \sf \dfrac{1}{2} \times 12 \times 11=66\:m^2[/tex]

Total Surface Area

[tex]\begin{aligned}\implies \textsf{Total Surface Area} & = \sf base \: area + 6 \times side \: area\\& = \sf 216\sqrt{3}+6 \cdot 66\\& = \sf 216\sqrt{3}+396\\& = \sf 770\:m^2\:(nearest\:whole\:number)\end{aligned}[/tex]

Consider the following data set with 20 scores { 23 15 16 15 25 14 14 18 26 23 25 24 14 25 29 15 24 29 21 19}. How many scores are below or equal to the 60th percentile?

Answers

Answer:

60th percentile = 23.5

Step-by-step explanation:

Put numbers in order from lowest to highest:

14, 14, 14, 15, 15, 15, 16, 18, 19, 21, 23, 23, 24, 24, 25, 25, 25, 26, 29, 29

Formula:

60th percentile = 60% x Total number of elements

We have 20 scores,

60th percentile = 60% x 20

                          = 0.60 x 20

                          = 12

the 60th percentile is the 12th number on the list

14, 14, 14, 15, 15, 15, 16, 18, 19, 21, 23, 23, 24, 24, 25, 25, 25, 26, 29, 29

The 60th percentile is between 23 and 24

23 + 24 / 2 = 23.5

A rectangular prism is 6.9 centimeters long and 1 centimeter wide. It’s volume is 21.39 cubic centimeters. What is the height of the rectangular prism? (will mark brainliest)

Answers

The height of the rectangular prism is 3.1

[tex]6.9x=21.39[/tex]

[tex]21.39[/tex] ÷ [tex]6.9=3.1[/tex]

Sure hope this helps

What transformations would result in the image shown?



Δ ABC is reflected over the x-axis and translated right 1 unit.
Δ ABC is reflected over the y-axis and translated up 1 unit.
Δ ABC is reflected over both axes.
Δ ABC is translated right 4 units and up 1 unit.

Answers

ABC is reflected over y-axis and translated up 1 unit

You need a loan and your friend, Joey, will lend you the $1250 you need. He has you sign a promissory note for four years with an annual simple interest rate of 5.5%. What is the total amount that you will pay Joey at the end of the four years?

$1525
$4225
$2750
$275

Answers

Answer:

$1525

Step-by-step explanation:

5.5% out of $1250= 68,7568,75 x 4 (years) = 2751250 + 275 = 1525

Drag the tiles to the correct boxes to complete the pairs.
Match each equation with its solution. Log(x-1)+log5x=2

Answers

Answer:

  see attached

Step-by-step explanation:

We prefer to solve these by rewriting the equations to the form f(x) = 0, then having a graphing calculator show us the x-intercepts of f(x). This is illustrated in the second attachment.

__

The applicable rules of logarithms are ...

log(a) +log(b) = log(ab) . . . for logs of any baselog(a) = b  ⇔  10^b = aln(e^a) = alog(a) = log(b)  ⇔  a = b . . . . for a > 0 and b > 0

We can apply these rules to the given expressions to solve for x algebraically.

__

log(x-1) ...

Taking antilogs, we have ...

  (x -1)(5x) = 10^2 = 100

  x(x -1) = 20 . . . . . . . . . . . divide by 5

  x² -x -20 = 0 . . . . subtract 20, put in standard form

  (x -5)(x +4) = 0 . . . . factor

  x = 5  or  x = -4 . . . . . . the latter is an extraneous solution

  x = 5 only

__

ln(x +5) ...

Taking antilogs, we have ...

  x +5 = (x +1)(x -1)

  x² -x -6 = 0 . . . . . . . subtract (x+5), write in standard form

  (x -3)(x +2) = 0 . . . . factor

  x = 3  or  x = -2 . . . . . . the latter is an extraneous solution

  x = 3 only

__

e^x² ...

Taking natural logarithms, we have ...

  x² = 4x +5

  x² -4x -5 = 0 . . . . . write in standard form

  (x -5)(x +1) = 0 . . . . factor

  x = 5  or  x = -1 . . . . values that make the factors zero

__

log₄(5x² ...

Taking antilogs, we have ...

  5x² +2 = x +8

  5x² -x -6 = 0 . . . . . write in standard form

  (5x -6)(x +1) = 0 . . . . factor

  x = 6/5  or  x = -1 . . . . values that make the factors zero

_____

Additional comment

A solution is extraneous when it does not satisfy the original equation. Here, solutions are extraneous because they make the argument of the log function be negative in the original equation. The log function is not defined for negative arguments. (Actually, it gives complex values for negative arguments.)

We could have gone to the trouble to determine the applicable domain of each of the log equations. It is easier to (a) use a graphing calculator, or (b) test the solutions found.

A, B and C lie on a straight line.
Given that angle
y
= 135° and angle
z
= 103°, work out
x
.

Answers

Answer:

x = 42

Step-by-step explanation:

a striaght line = 180°

z + y + x = 180

103 + 135 + x = 180

138 + x = 180

subtract 138 from both sides

138 - 138 + x = 180 - 138

x = 42

Answer:

what shape it is

Step-by-step explanation:

wat is the shape

If the total profit per month is 200000 and the revenue per month can be obtained as twice the cost per month minus 50000. what is the revenue and cost?

Answers

Answer:

300,000

Step-by-step explanation:

[tex]2000000 - 50000 = 150000[/tex]

[tex]150000 \times 2 = 300000[/tex]

im rlly frickin lost
pls help

Answers

Answer:

so far he has saved 27 dollars however he needs 33 more dollars

Step-by-step explanation:

okay so if it says "____ of x" you normally have to multiply (of is a hint)

so first lets see how much he saved

0.45(60) = 27

he saved 27 dollars so far. to find how much more he has to save, you have to do the amount he needs minus the amount he already has

sooo

60 - 27 = 33

uhhh im not sure what the graph table thing on the right is, but i hope this helps a little

edit: ohhhhh so in the table all you have to do is fill in the information. im sure u can do it, but if you still dont know how to just reply here and ill help!

PLS HELP ILL MARK U BRAINLIST

Answers

Answer:

∠ FLW = 112°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ FLW is an exterior angle of the triangle , then

∠ FLW = x + 32 , that is

2x - 48 = x + 32 ( subtract x from both sides )

x - 48 = 32 ( add 32 to both sides )

x = 80

Then

∠ FLW = 2x - 48 = 2(80) - 48 = 160 - 48 = 112°

Six workers are hired to harvest blueberries from a field. each is given a plot with an area of 84 ft2. which equation will tell you the total area of the blueberry field

Answers

The equation that represents the total area of the blueberry field will be y = 84x.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Six workers are hired to harvest blueberries from a field.

Each is given a plot with an area of 84 square ft.

Then the equation that represents the total area of the blueberry field will be

Let x be the number of workers and y be the total area field. Then we have

y = 84x

Then the area of the total field will be

y = 84 (6)

y = 504 square ft

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a tub shaped like a cylinder with a diameter of 18 inches, And a height of 20 inches Is filled to the top with water. Six spherical balls each with a diameter of 8 inches Are placed in the tub and they sink. some water overflows the tub, this amount equals a combined volume of the spheres. Find the exact and the approximate of water that remains in the tub.

Answers

The approximate amount of water that remains in the tub after the 6 spherical balls are placed in the tub are 3479.12 in³.

What is the approximate amount of water that remains in the tub?

The first step is to determine the volume of the cylinder.

Volume of the tub = πr²h

Where:

r = radius = diameter / 2 = 18/2 = 9 inches h = height π = 3.14

3.14 x 9² x 20 = 5086.8 in³

The second step is to determine the volume of the 6 balls.

Volume of a sphere= 4/3πr³

r = diameter / 2 = 8/2 = 4 inches

6 x (3.14 x 4/3 x 4³) = 1607.68 in³

Volume that remains in the tub = 5086.8 in³  -  1607.68 in³ = 3479.12 in³

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whats 9499 to the nearest thousand??? I NEED THE ANSWER A.S.A.P

Answers

Answer:

9000

Step-by-step explanation:

1,2,3,4 round down

5,6,7,8,9 round up

Look at the 100's column for rounding to the nearest 1000

The graph of the function above is shown below. Which of the following statements about f(x) is true? A. The function f(x) does not have an inverse because it never crosses the x-axis. B. The function f(x) has an inverse because it passes the horizontal line test. C. The function f(x) does not have an inverse because it does not pass the horizontal line test. D. The function f(x) has an inverse because it passes the vertical line test.

Answers

Answer:

The correct answer is b)

Step-by-step explanation:

Guys, Please Help me Fast

Answers

I will help u so fast, first

you help me

can u answer this

some fanicial and environmental damages that have been made by cars.

please help me

this is exam

teacher giving us 10 minutes to discuss about and I am in washroom of school writing this

Answer: 5/14

Step-by-Step Explanation:

1/7 = 1 x 2/7 x 2 = 2/14
3/14 = 3/14

Therefore,
1/7 + 3/14
= 2/14 + 3/14
= 5/14

a girl exercises every day for half an hour how many minutes in total for over 5 days

Answers

Answer:

150 minutes

Step-by-step explanation:

30 × 5 = 150 minutes

Can someone help

kaitlin buys candy that costs $8 per pound. she will spend less than $40 on candy. what are the possible numbers of pounds she will buy?
use p for the number ofpounds kaitlin will buy.
write your answer as an inequality solved for p.

Answers

Answer:

x≤5p

Step-by-step explanation:

40/8=5 Kaitlin can buy UP TO 5 pounds of candy at $8/pound. So she will buy less than or equal to 5 pounds

Simplify 85.84
O A. 820
O B. 169
O C. 89
O D. 649

Answers

Step-by-step explanation:

it seams like this question is wrong

There are six people on a bus. This is in total. At the first stop, eight more people get on. At the second, four get on and two hop off. At the third stop, the bus becomes practically full as 15 passengers get on. Four get off. At the last stop, 8 people get off. How many people are on the bus?

Just a fun problem for you :D
P.S. Answer it correctly ;)

Answers

Answer:

This was a nice way to spend my time :) how'd I do?

Step-by-step explanation:

Total: 6

1. +8

After stop 1, total is 14 people

2. +4, -2

After stop 2, total is 16 people

3. +15, -4

After stop 3, the total is 27 people

4. -8

Total # of people on the bus: 19

(A little voice in the back of my mind is telling me that I overthought this entire problem, and that the answer is just 6)

Can someone help me with this please

Answers

I have the same name as you my name is also Jocelyn


A monument has a base and a statue The base is a rectangular prism that measures 4 feet by 6 feet by 2 feet The statue is a cube with edges that are 2 feet long What is the volume of the monument

Answers

Answer:

The formula for volume is V=l*w*h

(6×4×2)×2=96 cubic feet

Answer:

The winter evening settles down

With smell of steaks in passageways.

Six o'clock.

The burnt-out ends of smoky days.

And now a gusty shower wraps

The grimy scraps

Of withered leaves about your feet

And newspapers from vacant lots;

The showers beat

On broken blinds and chimney-pots,

And at the corner of the street

A lonely cab-horse steams and stamps.

And then the lighting of the lamps.

Alfred Tennyson - Summer Night

Alfred Tennyson was another poet who made great use of visual imagery. See if you can get a clear picture of the summer night he describes in this poem "Summer Night:"

Now sleeps the crimson petal, now the white;

Nor waves the cypress in the palace walk;

Nor winks the gold fin in the porphyry font:

The firefly wakens: waken thou with me.

Now droops the milk-white peacock like a ghost,

And like a ghost she glimmers on to me.

Now lies the Earth all Danaë to the stars,

And all thy heart lies open unto me.

Now slides the silent meteor on, and leaves

A shining furrow, as thy thoughts in me.

Now folds the lily all her sweetness up,

And slips into the bosom of the lake.

So fold thyself, my dearest, thou, and slip

Into my bosom and be lost in me.

William Wordsworth - I Wandered Lonely as a Cloud

Next is an excerpt from "I Wandered Lonely as a Cloud" by William Wordsworth. The first and last stanzas show a progression of the poet's emotions using visual imagery.

I wandered lonely as a cloud

That floats on high o'er vales and hills,

When all at once I saw a crowd,

A host, of golden daffodils;

Beside the lake, beneath the trees,

Fluttering and dancing in the breeze.

For oft, when on my couch I lie

In vacant or in pensive mood,

They flash upon that inward eye

Which is the bliss of solitude;

And then my heart with pleasure fills,

And dances with the daffodils.

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Theodore Rothke - My Papa’s Waltz

This famous poem by Theodore Rothke is an excellent example of olfactory and tactile imagery with plenty of visual imagery thrown in for good measure. The effect is powerful.

The whiskey on your breath

Could make a small boy dizzy;

But I hung on like death:

Such waltzing was not easy.

We romped until the pans

Slid from the kitchen shelf;

My mother’s countenance

Could not unfrown itself.

The hand that held my wrist

Was battered on one knuckle;

At every step you missed

My right ear scraped a buckle.

You beat time on my head

With a palm caked hard by dirt,

Then waltzed me off to bed

Still clinging to your shirt.

William Carlos Williams - This Is Just to Say

"This Is Just to Say" is an amazing example of gustatory imagery or imagery involving taste. There’s more going on beneath the surface of this poem, but the vivid description of taste draws the reader in.

I have eaten

the plums

that were in

the icebox

and which

you were probably

saving

for breakfast

Forgive me

they were delicious

so sweet

and so cold

Step-by-step explanation:

A marathon swim follows a triangular course marked with three buoys, A, B, and C. The distance from buoy A to B is 400 meters, B to C is 500 meters, and C to A is 600 meters. What is the smallest angle the swimmers must turn between the buoys

Answers

By applying the law of cosine, the smallest angle which the swimmers must turn between the buoys is 41.4°.

How to determine the smallest angle?

In order to determine the smallest angle which the swimmers must turn between the buoys, we would apply the law of cosine.

Given the following data:

Side AB = c = 400 meters.Side BC = a = 500 meters.Side CA = b = 600 meters.

Form the law of cosine, we have:

[tex]CosC =\frac{a^2 + b^2 - c^2}{2ab} \\\\CosC =\frac{500^2 + 600^2 - 400^2}{2 \times 500 \times 600}\\\\CosC =\frac{450000}{600000}\\\\C = cos^{-1} 0.75\\\\[/tex]

C = 41.4°.

For angle B, we have:

[tex]CosB =\frac{a^2 + c^2 - b^2}{2ac} \\\\CosB =\frac{500^2 + 400^2 - 600^2}{2 \times 500 \times 400}\\\\CosB =\frac{1}{8}\\\\B = cos^{-1} 0.125\\\\[/tex]

B = 82.8°.

For angle A, we have:

[tex]CosA =\frac{b^2 + c^2 - a^2}{2bc} \\\\CosA =\frac{600^2 + 400^2 - 500^2}{2 \times 600 \times 400}\\\\CosA =\frac{9}{16}\\\\A = cos^{-1} 0.5625\\\\[/tex]

A = 55.8°.

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solve for x.

thanks!! ​

Answers

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

Use the Intersecting Chords Theorem to solve for x:

[tex]\overline{\rm TP}\cdot\overline{\rm PR}=\overline{\rm QP}\cdot\overline{\rm PS}\\\\(x+3)(x)=(6-x)(2x)\\\\x^2+3x=12x-2x^2\\\\3x^2+3x=12x\\\\3x^2-9x=0\\\\3x(x-3)=0\\\\x=0,\: x=3[/tex]

The solution [tex]x=0[/tex] however, does not make sense because the chords have lengths, so [tex]x=3[/tex] is the only sensible answer.

Intersecting Chords Theorem States:

|QP| * |PS| = |TP| * |PR||6-x| * |2x| = |x+3| * |x|12x -2x² = x² + 3x-2x² -x² = 3x -12x-3x² + 9x = 0-3x(x -3) = 0x - 3 = 0, -3x = 0x = 3, 0

As Length cannot be zero or negative here. x = 3

4.
Triangle DEF is shown below.
E
19-6 m
I
10-4 m
13-2 m
D
It has sides of length 10.4metres, 13.2metres and 19.6metres.
Calculate the size of angle EDF.

Answers

Answer:

111.75 degrees

Step-by-step explanation:

EDF = cos^-1((b²+c²-a²)/2bc)

EDF = cos^-1((10.4²+19.6²-13.2²)/2(10.4)(19.6))

EDF = 111.75 degrees

Which box and whisker plot accurately shows the data set below

Answers

3rd

Step-by-step explanation:

i am not sure though so confirm it

Answer:

Its the THIRD choice.

Step-by-step explanation:

The values in ascending order are:

6 6 7 9 11 14 15 15 17 19 21 23 23 23 28 31

So the median = (15+17)/2 = 16.

The lowest and highest values are 6 and 31.

The lower quartile is 10.

The upper quartile is 23.


(2y + 5) (5y + 7)
Simplify your answer.

Answers

Answer:

10y^2 + 39y + 35

Step-by-step explanation:

Simplify using FOIL

What is the solution for x in the equation?
-2x+14+10x=34
A. x=5/2
B. x=2/5
C. x=1/8
D. x=6

Answers

Answer: A) x = 5/2

Step-by-Step Explanation:

=> -2x + 14 + 10x = 34
= -2x + 10x = 34 - 14 = 20
= 8x = 20
=> x = 20/8 = 5/2

Therefore, x = 5/2

Can someone explain how to convert a quadratic function in standard form to vertex form using the "complete the square" method? Oh, please give steps so I can write them down

Answers

The required steps are explained below to convert the quadratic function into a perfect square.

What is the parabola?

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

Let the quadratic function be y = ax² + bx + c.

The first step is to take common the coefficient of x². We have

[tex]\rm y = a \left (x^2 + \dfrac{b}{a}x \right) + c[/tex]

Add and subtract the half of the square the coefficient of x,

[tex]\rm y = a \left (x^2 + \dfrac{b}{a}x + \dfrac{b^2}{4a^2} \right) - a \times \dfrac{b^2}{4a^2} + c[/tex]

Then we have

[tex]\rm y = a \left (x + \dfrac{b}{a} \right)^2 - \dfrac{b^2}{4a} + c[/tex]

These are the required step to get the perfect square of the quadratic function.

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2x+ 5y = 155x+10y = 35O A. (5.-1)O B. (5,1)(O C. (10,-1)O D. (10,1) Which expression is equivalent to -36-8 Explain how cell division and cell multiplication follow a pre-designed program stored in the DNA and what may happenwhen cells become uncontrolled and anarchic. What is the possible relationship between Psalm 139:13-16and the pre-design instructions that cells follow duringcell division and multiplication? PLS HELP ILL MARK U BRAINLIST what is the difference between ice cream and gelato 100 PointsReagans budget director David Stockman favored cutting all of the following programs EXCEPT: Group of answer choicesFood StampsUnemployment CompensationMilitary SpendingWelfare AssistanceAccording to Eric Foner, the Vietnam War ______________.Group of answer choicesThe only war that the United States ever lost.It strengthened most Americans' trust in the federal government.It was first time that the United States got involved in Asia.The United States won the Vietnam War.Which of the following individuals was responsible for shaping President Nixons foreign policy?Group of answer choicesHenry KissingerGerald FordGeorge KennanRachel Carson The graph of the function above is shown below. Which of the following statements about f(x) is true? A. The function f(x) does not have an inverse because it never crosses the x-axis. B. The function f(x) has an inverse because it passes the horizontal line test. C. The function f(x) does not have an inverse because it does not pass the horizontal line test. D. The function f(x) has an inverse because it passes the vertical line test. x-3 6. Find the surface area of the regular pyramid shown to the nearest whole number. The figure is (1 point)not drawn to scale.11 m12 m6301,540 m0770 m0396 m0749 m What is the solution for x in the equation?-2x+14+10x=34A. x=5/2B. x=2/5C. x=1/8D. x=6 There are six people on a bus. This is in total. At the first stop, eight more people get on. At the second, four get on and two hop off. At the third stop, the bus becomes practically full as 15 passengers get on. Four get off. At the last stop, 8 people get off. How many people are on the bus?Just a fun problem for you :DP.S. Answer it correctly ;) please help me with this square! What is campaign canvassing Suppose you have a photograph thathas a height of 8 in and a width of 5in. If you want to enlarge thephotograph so that it has a height of32 in, how wide will it need to be? pls help meeeee A customer purchased x gallons of gas for $2.98 each. The customer gives the cashier $20.00 and gets $2.12 in return.How many gallons of gas did the customer buy? Which of the following choices best describes the work of Auguste Rodin?A. smooth surfacesB. idealized figuresC. created a sense of movement in his workD. expressionless faces pls help it says 1c.) On the number line, show all the values of t that make your inequality true. Select the appropriate inequality from the icons shown below and draw the location on the number line where you would like to place it. (screenshot below) What is a physical change? atomic number of iron Select the correct answer. which barrier to problem solving can you help to overcome by voicing your concerns and ideas to other members of the multidisciplinary healthcare team, rather than falsely conforming with all ideas to avoid upsetting the group? o unnecessary constraints o functional fixedness o irrelevant information o groupthink