NO LINKS!! Determine if the figures have line, point, and/or rotational symmetry. Check all that apply. Part 1​

NO LINKS!! Determine If The Figures Have Line, Point, And/or Rotational Symmetry. Check All That Apply.

Answers

Answer 1

Answer:

1.  Line, Point, Rotational

2. Line, Rotational

3. None

4. Rotational

Step-by-step explanation:

Definitions

A figure has line symmetry when a line can divide the figure into two mirror images.A figure has point symmetry when the figure appears unchanged if rotated 180° about the center point.  (Point symmetry can also be described as rotational symmetry of 180°).A figure has rotational symmetry if the figure appears unchanged if rotated around the center of rotation by less than 360°.  (If a figure has point symmetry, then it also has rotational symmetry by definition).

Figure 1

[tex]\boxed{\checkmark}\;\;\;\sf Line[/tex]

[tex]\boxed{\checkmark}\;\;\;\sf Point[/tex]

[tex]\boxed{\checkmark}\;\;\;\sf Rotational[/tex]

[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf None[/tex]

This figure has vertical and horizontal lines of symmetry.

As this figure has point symmetry, it also has rotational symmetry of 180°.

Figure 2

[tex]\boxed{\checkmark}\;\;\;\sf Line[/tex]

[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf Point[/tex]

[tex]\boxed{\checkmark}\;\;\;\sf Rotational[/tex]

[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf None[/tex]

This figure has a vertical line of symmetry.

This figure does not have point symmetry as when the figure is rotated 180°, it no longer appears the same as the original figure.

This figure has rotational symmetry of 120°.

Figure 3

[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf Line[/tex]

[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf Point[/tex]

[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf Rotational[/tex]

[tex]\boxed{\checkmark}\;\;\;\sf None[/tex]

It's difficult to tell as the provided picture of this figure is not flat, but it appears not to have any symmetry.

Figure 4

[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf Line[/tex]

[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf Point[/tex]

[tex]\boxed{\checkmark}\;\;\;\sf Rotational[/tex]

[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf None[/tex]

This figure has no line symmetry.

This figure does not have point symmetry as when the figure is rotated 180°, it no longer appears the same as the original figure.

This figure has rotational symmetry of 120°.

NO LINKS!! Determine If The Figures Have Line, Point, And/or Rotational Symmetry. Check All That Apply.
NO LINKS!! Determine If The Figures Have Line, Point, And/or Rotational Symmetry. Check All That Apply.
NO LINKS!! Determine If The Figures Have Line, Point, And/or Rotational Symmetry. Check All That Apply.

Related Questions

Graph the linear function: f(x)=-2(x+4)

This is high school level math

Algebra:1

PLEASE HELP ME. I DONT UNDERSTAND WHAT IM SUPPOSED TO DO!

Please provide an explanation on how you got your answer. Thank you!​

Answers

Answer:

Step-by-step explanation:

f(x) =-2 (x+4)

f(x)=2

x+4

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Find the missing number so that the equation has no solutions




–2x + 11 = x + 21 + __x

a 5
b 2
c -2
d -3

Answers

Answer: d -3

Step-by-step explanation:

The answer I got was 11 = 21, which does not make sense

–2x + 11 = x + 21 + (-3)x

+3x                         +3x

x + 11 = x + 21

-x        -x

11 = 21

Answer:

-3

Step-by-step explanation:

A man pays a total of 4800 in flat rental for 3 months. Find his monthly rental rate.

Answers

Answer:

The man's monthly rental rate is $1600.

Step-by-step explanation:

To figure out the answer to your question, it says to find how much is monthly rental is. So, we can do this by simply dividing the two numbers:

4800 ÷ 3 = $1600

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Help i think it’s b i don’t know!!

Answers

Answer: It is B

Step-by-step explanation:

If you put leg a (3) and leg b (4) into a Pythagorean equation it will turn out like this

3^2+4^2=x^2

9+16=x^2

25=x^2

√25=√x

5=x

5 is the missing side length, which corresponds to option b

. The electricity cost y, in dollars, to use a
hair dryer for x minutes can be represented
by the equation y = 0.002x. The electricity
cost to use a space heater is shown on the
graph. Which appliance is more expensive
to use? Explain. (Example 4)
Space Heater
0.09
0.08
0.07
0.06
0.05
0.04
0.03
0.02
0.01
0
Electricity Cost ($)
y
123456789
Time (min)
X

Answers

Answer:

D)The space heater, because it has the greater unit rate for electricity cost.

Step-by-step explanation:

I DID IT AND GOT IT RIGHT!

At a furniture store, 20% of chairs are blue, 50% orange and 30% black. A blue chair has a 20% probability of being comfortable. A chair that is not blue has a 5% probability of being comfortable. What is the probability that a comfortable chair in the store is blue?

Answers

The probability that a comfortable chair in the store is blue is 4%

How to determine the probability?

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

Proportion of blue chairs = 20%

Proportion of orange chairs = 50%

Proportion of black chairs = 30%

Comfortable Blue chairs = 20%

Comfortable non-blue chairs = 5%

The required probability is then calculated as

Probability = Proportion of blue chairs x Comfortable Blue chairs

Substitute the known values in the above equation, so, we have the following representation

Probability = 20% * 20%

Evaluate

Probability = 4%

Hence, the probability is 4%

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A(t)A0e-0.355t where t is the time in years

Answers

Based on the function, the population of the small town in 5 years is 3898

How to determine the population in 5 years?

The complete question is added at the end of this solution

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

Initial population = 23000

Number of years = 5

These parameters can be represented as

Ao = 23000

t = 5

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

A(t) = A0e^(-0.355t)

Substitute Ao = 23000 and t = 5 in the above equation

So, we have the following representation

A(5) = 23000 * e^(-0.355 * 5)

Evaluate the products

A(5) = 3898

Hence, the population in 5 years is 3898

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Complete question

The population of a small town follows A(t) = A0e-0.355t where t is the time in years

What is the population in 5 years if the initial population is 23000

Which statement about the value of x is true?

x > 38
x < 39
x < 77
x > 103

Answers

Answer: x> 38

Step-by-step explanation:

The best way to find the answer is to solve for x. To start you would add 38 and 39, getting 77, then subtract that from 180 to get the last angle in the triangle, 103. Finally, you would subtract 103 from 180, getting 77, to get x. The only thing you need to do now is to look at all of the answers and figure out which one makes sense for the answer you got. You know it can't be x<77 because it doesn't have the or equal to sign. You know it can't be x>103 because 77 is lower than 103. You know it can't be x<39 because 77 is greater than 39, so the answer has to be x > 38. (this was copy'd n pasted from another question that is the exact same.)
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Convert the numeral to a numeral in base ten
24^five

Answers

Answer:

14 base 10

Step-by-step explanation:

Remember what the digits mean in the base 10 system we use.

For example, the number 539 (base 10) means:

The 5 in the hundreds place means 5 × 100 = 500.

The 3 in the tens place means 3 × 10 = 30.

The 9 in the ones place means 9 × 1 = 9.

The number 539 means

5 × 100 + 3 × 10 + 9 × 1 = 500 + 30 + 9 = 539

Also keep in mind one more thing. The ones digit means the number of ones. 1 = 10^0. The number in the ones digit means the number if 10^0 you have.

The ten digits is the digit of 10^1.

The hundreds digit is the digit of 10^2 since 10^2 = 100.

In other words, the ones digit is the number of 10^0 you have.

The tens digit is the number of 10^1 you have.

The hundreds digit is the number of 10^2 you have.

Now let's look at base 5.

Here, each place to the left is a successively higher power of 5 instead of a power of 10.

Think of the number 432 base 5.

The 2 is in the units place. it represents the number of 5^0 or ones you have. In this case, it is 2 × 5^0 = 2 × 1 = 2

The 3 is in the 5^1 place. It represents the number of fives you have.

3 × 5 = 15

The 4 is in the 5^2 place. It represents the number of 25's you have.

4 × 25 = 100

The number 432 base 5 means:

4 × 5^2 + 3 × 5^1 + 2 × 5^0

= 4 × 25 + 3 × 5 + 2 × 1

= 100 + 15 + 2

= 117 base 10

In other words, 432 base 5 = 117 base 10.

Now we do the same with your number, 24 base 5.

24 base 5 =

= 2 × 5^1 + 4 × 5^0

= 2 × 5 + 4 × 1

= 10 + 4

= 14

of the car was marked as $14,000.
The price
The end of the month sale has
lowered the price to $12,500. What is the percent decrease to the nearest
percent?

Answers

Answer: the percent decrease is 9%

Step-by-step explanation:

Formula :12500/14000x100% and this formula can use in any of question likes this

Find the slope of the line that passes through all of the points
on the table.

Someone help I’ll give Brainliest

Answers

Slope=10
Equation= y=10x+-17
The answer is 10

Hope this helps!

The next model of a sports car will cost 5.1% less than the current model. The current model costs $37,000 how much will the price decrease in dollars? What will be the price of the next model?

Answers

Decrease in the price is $1887, the price of the next model car is $35,113.

What is percentage?

Percentage is a measurement to find value of the given number out of hundred.

Given that,

Price of current model = $37,000

The price of next model car is 5.1% less than the current model.

The price of the next model car = 94.9% of price of current model car

                                                     = 94.9 x 37,000/100

                                                      = 35,113

The decrease in the price = 37,000 - 35,113 = 1887

The price of the next model car is $35,113 and decrease in the price is $1887.

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You are a store clerk assigned to stack notebooks in a box for shipment. Each notebook is 29 centimeters long, 21.5 centimeters wide, and 1.5 centimeters thick. The box can hold a maximum of 12 notebooks.

To the nearest whole number of cubic centimeters, what is the minimum volume of the box?
A. 64
B. 624
C. 935
D. 7,500
E. 11,223

Answers

The minimum volume of the box =  11220 cubic centimeters

What is volume?

In three-dimensional space, volume is the area occupied by an object within its borders. Another name for it is an object's capacity.

One notebook:

length, l= 29 cm

width = 21.5 cm

height = 1.5 cm

Volume of 1 notebook =  l*w*h

                                     =  29*21.5*1.5

                                     =  935.25

                                     ≈  935 cubic centimeters ( nearest whole number )

Volume of 12 notebooks = 935 * 12 = 11220 cubic centimeters

So, the minimum volume of the box =  11220 cubic centimeters

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Answer:

11,223

Step-by-step explanation:

If you estimate that a piece of wood measures 5.5cm if it actually measures 5.62cm what is the percent error of the estimate

Answers

The percent error of the estimate is -2.14%

How to determine the percent error of the estimate?

In this question, the figures are given as

Estimate = 5.5 cm

Actual = 5.62 cm

The percentage of the error is then calculated using the following equation

Error percentage = (Estimate - Actual)/Actual * 100%

Substitute the known values in the above equation, so, we have the following representation

Error percentage = (5.5 - 5.62)/5.62 * 100%

Evaluate

Error percentage = -2.14%

Hence, the error percentage is -2.14%

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the diamter of a circle is 14 yards what is the area of this cirlce

Answers

The area of a circle with diameter of 14 yards is  153.86 yards².

How to find area of a circle?

The diameter of the circle is 14 yards . The area of the circle can be found as follows;

area of a circle = πr²

where

r = radius of a circle

The radius of a circle is half of its diameter.

Therefore,

r = 14 / 2 = 7 yards

Hence,

area of a circle = πr²

area of a circle = 3.14 × 7²

area of a circle = 3.14 × 49

area of a circle = 153.86 yards²

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Serena estimates that she can paint 60 square feet of wall space every half-hour.write an equation for the relationship with time in hours as the independent variable.can Serena paint 400 square feet of wall space in 3.5 hours?why or why not?

Answers

Answer:x=3.5 x 60

the answer is yes because when she's doing 3.5 hour, and she can do 420 square feet

What is x+y=-15 converted to slope intercept form

Answers

Answer: y = -x - 15

Step-by-step explanation:

            Slope intercept form is written as y = mx + b where m is the slope and b is the y-intercept. In other words, we need to isolate the y-variable.

   Given:

x + y = - 15

   Subtract x from both sides of the equation:

y = -x - 15

Suppose that you roll a fair, six-sided die 10 times. What’s the probability that you get at least one 6?

Answers

Answer:

0.8385, turned into a percentage is 83.9%

Step-by-step explanation:

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Answer:210

Step-by-step explanation:

find the cartesian equation of r=3i+paremeter (i+2j)

Answers

The Cartesian equation will be;

⇒ (x - 3) / 1 = (y - 0)/2

What is Equation of line?

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The equation is,

⇒ r = 3i + λ (i + 2j)

Where, 'λ' is a parameter.

Now,

Since, The equation is,

⇒ r = 3i + λ (i + 2j)

Where, 'λ' is a parameter.

Hence, The Cartesian equation is find as;

⇒ xi + yj = 3i + λi + 2λj

By compare, we get;

⇒ x = 3 + λ

⇒ y = 2λ

Thus, The Cartesian equation is;

⇒ (x - 3) / 1 = (y - 0)/2 = λ

Therefore, The Cartesian equation will be;

⇒ (x - 3) / 1 = (y - 0)/2

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2y-5+123=180




help me

Answers

Answer:

y = 31

Step-by-step explanation:

2y-5+123=180

123 - 5 = 118

2y+118=180

subtract 118 from both sides

2y+118 - 118 = 180 - 118

180 - 118  = 62

2y = 62

divide 2 by both sides

2y/2 = 62/2

y = 31

Answer:

Step-by-step explanation:

2y+−5+123=180

Step 1: (Combine Like Terms)

(2y)+(−5+123)=180

Step 2:  (Subtract 118 from both sides)

2y+118−118=180−118

2y=62

Step 3: Divide both sides by 2

2y/2= 62/2

y=31

What is the x-coordinate of the midpoint of the segment between (4 , -5) and (8 , 2)?

Answers

Answer:

(6, -1.5) or (6, -1 1/2)

6/9 times 3/8 and what is equals to

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

(6/9) × (3/8)

Cross simplify:

(3/3) × (1/4)

3/12

1/4

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There is a proportional relationship between the weight and total cost of a bag of cherries. One bag weighs 2.1 pounds and costs $7.98. Another bag weighs 2.8 pounds and costs $10.64.

Describe how you would graph the proportional relationship.

PLEASE HELPPP, I got like three different answers

Answers

Answer:

y = 3.8x

Step-by-step explanation:

Let y = the cost of the cherries

Let x = pounds of cherries

We can find the unit rate by either:

[tex]\frac{7.98}{2.1}[/tex] =  $3.80 per pound

or

[tex]\frac{10.64}{2.8}[/tex] = $3.80 per pound

Now we can write the equation

hy = 3.8x

1)What value of b will complete the square in the expression below and make the expression a perfect square trinomial? X^2+bx+16/49




2) Enter the perfect square trinomial as a squared binomial.

Answers

The value of b in x²+ bx + 16/49 is 8/7 and the squared binomial is (x + 4/7)²

How to determine the value of b?

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

X^2+bx+16/49

Rewrite properly

So, we have the following representation

x²+ bx + 16/49

When represented as a square, we have

x²+ bx + 16/49 = (x + a)²

Expand the bracket

So, we have the following representation

x²+ bx + 16/49 = x² + 2ax + a²

By comparison, we have

bx = 2ax

a² = 16/49

Take the square root of both sides

a = 4/7

Substitute a = 4/7 in bx = 2ax

bx = 2 * 4/7x

So, we have

b = 2 * 4/7

Evaluate

b = 8/7

The squared binomial

In (a), we have

x²+ bx + 16/49 = (x + a)²

Where

a = 4/7

So, we have

x²+ bx + 16/49 = (x + 4/7)²

Hence, the binomial is (x + 4/7)²

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Answer:

[tex]\textsf{1)} \quad b = \dfrac{8}{7}[/tex]

[tex]\textsf{2)} \quad \left(x+\dfrac{4}{7}\right)^2[/tex]

Step-by-step explanation:

Perfect Square Trinomial

A trinomial that can be written as the square of a binomial.

For example the perfect trinomial  x²+2dx+d² can be written  as (x+d)².

Given trinomial:

[tex]x^2+bx+\dfrac{16}{49}[/tex]

To express the given trinomial as a perfect square trinomial, determine the value of b.

As the coefficient of the x² term is one, b equals twice the square root of the constant of the trinomial:

[tex]\implies b = 2 \sqrt{\dfrac{16}{49}}[/tex]

[tex]\implies b = 2 \cdot \dfrac{4}{7}[/tex]

[tex]\implies b = \dfrac{8}{7}[/tex]

Therefore, the perfect square trinomial is:

[tex]x^2+\dfrac{8}{7}x+\dfrac{16}{49}[/tex]

To factor in the form of a squared binomial (x + d)², d is half the value of b:

[tex]\implies d = \dfrac{1}{2}b[/tex]

[tex]\implies d = \dfrac{1}{2} \cdot \dfrac{8}{7}[/tex]

[tex]\implies d=\dfrac{8}{14}[/tex]

[tex]\implies d=\dfrac{4}{7}[/tex]

Therefore, the perfect square trinomial as a squared binomial is:[tex]\implies \left(x+\dfrac{4}{7}\right)^2[/tex]

what is the solution to the equation below 2x+13=x-1

Answers

2x + 13 = x - 1
Add one on both sides
2x + 14 = x
Subtract 2x on both sides
14 = -x
Divide by -1
x = -14

x = -14

You are saving to buy a brand new car in 6 years? You predict the car will cost $32000 but you have already saved $6500.

How much work do you have if you put the $6,500 in an account paying 5% APR compounded continuously?

How much should you invest into an account paying 5% APR compounded continuously to have the entire $32000 in the 6 years?

Answers

The amount you will have $6,500 with 5% in six years using continuous compounding is of:

$8,774.

The amount you will need to have the entire $32000 in the 6 years is of:

$18,890.46.

What is continuous compounding?

The balance of an account after t years, using continuous compounding, is given as follows:

[tex]B(t) = Pe^{kt}[/tex]

In which the parameters are given as follows:

P is the principal, which is the initial investment.k is the APR, as a decimal.

Putting the $6,500 into the account, the values of the parameters are given as follows:

P = 6500, k = 0.05, t = 6.

Hence the balance will be of:

B(6) = 6500 x e^(0.05 x 6) = $8,774.

The balance to have the entire $32,000, considering what you already have, will be of:

32000 - 6500 = 25500

Hence the principal is obtained as follows:

Pe^(0.05 x 6) = 25500

P = 25500/e^(0.3)

P = $18,890.46.

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please help me! i have a test rn and i am struggling. please send answer ASAP!!

Find an equation for line l,m,n,p

Answers

The linear functions in this problem are given as follows:

Line l: y = 4.Line m: y = -2x + 4.Line n: y = x - 1.Line p: x = -4.

How to define the linear functions?

First we define the horizontal line l, given as follows:

l: y = 4.

(as no matter the value of x, the output variable assumes a value of 4).

Then the vertical line p is defined as follows:

p: x = -4.

(as no matter the value of the output y, the input variable x assumes a value of -4).

For the remaining two lines, they are defined in the slope-intercept format, as follows:

y = mx + b.

In which the coefficients are given as follows:

m is the slope, representing by how much y changes when x is increased by one.b is the y-intercept, representing the value of y when the function crosses the x-axis, that is, when x = 0.

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20 + 0.44x + 4 = 19 + 1.69x. please show how you got it

Answers

Answer: x =4

Step-by-step explanation: The solution of the given equation 24 + 0.44x = 19 + 1.69x will be x = 4 thus option (A) will be correct.

What is the equation?

There are many different ways to define an equation.

More than one variable may be present inside a linear equation.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given equation,

24 + 0.44x = 19 + 1.69x

24 - 19 = 1.69x - 0.44x

5 = 1.25x

x = 4

Hence "The solution of the given equation 24 + 0.44x = 19 + 1.69x will be x = 4".

A triangle ABC. If a = 100 inches, b = 60 inches, and C= 60°, Find c.
Use the low of cosines

Answers

[tex]\textit{Law of Cosines}\\\\ c^2 = a^2+b^2-(2ab)\cos(C)\implies c = \sqrt{a^2+b^2-(2ab)\cos(C)} \\\\[-0.35em] ~\dotfill\\\\ c = \sqrt{100^2+60^2~-~2(100)(60)\cos(60^o)} \implies c = \sqrt{ 13600 - 12000 \cos(60^o) } \\\\\\ c = \sqrt{ 13600 - 12000 \cdot \frac{1}{2} }\implies c=\sqrt{7600}\implies c=20\sqrt{19}\implies c\approx 87.18[/tex]

What is 3 3/4 ft to yards as a mixed number?

Answers

The value of 3¾ft in yards would be = 1 6/25 yard

What is a mixed number?

A mixed number is the type of number that is made up of three parts such as the whole number, a numerator and a denominator.

To convert to yards;

1 ft = 0.33 yard

3¾ = X yards

make x yards the subject of formula;

X yards = 3¾ × 0.33

X yards = 3.75×0.33

X yards = 1.24 yards

X yards in mixed number= 124/100 = 31/25 = 1 6/25 yard.

Note that the final value which is 124/100 is reduce to the lower figure by dividing through with 4 to arrive at the mixed number 1⁶/25

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In responding to surveys asking them to rank various occupations according to status, people place more emphasis on the ________ of the position than the position's ________educational requirements; income level. according to malinowski, when people , they turned from technology to magic. group of answer choices lacked potential in society were confronted with situations beyond their control had no sense of hope believed in the afterlife talked to missionaries the most prevalent degenerative diseases in the united states are cardiovascular diseases. group of answer choices true false Foods must list all of their ingredients on the label. Why is this an important step for keeping consumers healthy?A. People usually have no idea what is in their food.B. Labels are now part of culture and expected on most products.C. It allows people to avoid foods they are allergic to.D. It is easier to recreate the food at home if they know what is in it. a 4 kg ball is thrown straight up in the air. what is the net force acting on the ball when it reaches its maximum height? In the book pop by Gordon Korman what was character goal and how did they accomplish A lottery offers one $900 prize, one $600 prize, three $400 prizes, and four $100 prizes. One thousand tickets are sold at $5 each. Find the expectation if a person buys five tickets. Assume that the players ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.The expectation if a person buys five tickets is $____. A high-deductible health plan with lower monthly premiums is a good option for ___________. Aseptic processing involvesa. quick freezing food after it is prepared.b. drying foods to decrease water content.c. sterilizing the package and food separately and then packaging the food.d. the addition of chemical preservatives. a fence must be built to enclose a rectangular area of 20,000square feet. fencing material costs 3 per foot for the twosides facing north and south and 6 per foot for the other twosides. find the cost of the least expensive fence developing historical perspective at the trials, many nazis defended themselves by saying they were only following orders, what does this rationale tell you about the german military assume that the percentage of women in the labor force of a certain country is 34 percent. a company employs ten workers, two of whom are women. if you were to use a simulation to mirror the real situation, how would you proceed with the labeling? help on photo Mathematics How do you analyze the structure of a story? A. Identify the main characters and describe their situation. B. Consider whether the story's climax resolves all of the complications. C. Determine how the elements of the plot fit the basic narrative structure of a story. D. Identify the story's resolution and decide whether it is an appropriate ending to the story. rawlings purchased a typewriter from kroll typewriter co. for $600. at the time of the purchase, he made an initial payment of $75 and agreed to pay the balance in monthly installments. a security agreement that complied with the ucc was prepared, but no financing statement was ever filed for the transaction. rawlings, at a time when he still owed a balance on the typewriter and without the consent of kroll, sold the typewriter to a neighbor. the neighbor, who had no knowledge of the security interest, used the typewriter in her home. could kroll repossess the typewriter from the neighbor Work with a partner. Supercooling is the process of lowering the temperatureof a liquid or a gas below its freezing point without it becoming a solid. Watercan be supercooled to 86F below its normal freezing point (32F) and stillnot freeze.a. Let x represent the temperature of water. Which inequality represents thetemperature at which water can be a liquid or a gas? Explain your reasoning. The length of the rectangle is 5 cm less than twice its width.the area of the rectangle is 42 cm^2. What is the width of the rectangle help mee please no wrong answer thank uu The government has many obligations to provide services to its tax-paying citizens. If you were in Congress, howwould you balance the need for the government to spend money on necessary things with a prudent approach to controlling the debt and the deficit? Use examples in your answer. determine the moments of inertia of the rectangular area about the x- and y-axes and find the polar moment of inertia about point o.