fourteen white cubes are put together to form the figure on the right. the complete surface of the figure, including the bottom, is painted red. the figure is then separated into individual cubes. how many of the individual cubes have exactly four red faces?

Answers

Answer 1

When a figure consisting of 14 cubes together is painted with red from top to bottom completely, then the number of individual cubes will have  exactly four red faces is 6.

The figure is shown at bottom of the answer.

Given,

This figure, contains 14 cubes formed ,combined together to form into this shape as shown in figure, when painted with red including bottom of the figure.

then,

At first, we can observe that the four cubes at corners of the figure, have only 3 faces as painted red.

The four cubes on the top of corners will have 5 faces as painted red.

And after observing closely, we can observe that the 6 cubes at the middle of the figure will have 4 faces as painted red.

Now, have covered all the cubes in the figure.

\(\begin{center}\begin{tabular}{ c c } No.\ of\ red\ faces & No,\ of\ cubes \\\\ 3 & 4 \\\\ 4 & 6 \\\\ 5 & 4 \\\\ & Total=14 \end{tabular}\end{center}\)

Hence, when the figure is painted red including bottom, we get 6 individual cubes which will have exactly four red faces.

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Fourteen White Cubes Are Put Together To Form The Figure On The Right. The Complete Surface Of The Figure,

Related Questions

Tiffany's mother bought a car for $9000 five years ago. She wants
to sell it to Tiffany based on a 15% annual rate of depreciation.

Answers

Answer:

I would say the answer would be 1350 because 15 percent of $9000 would be 1350

Could I get help with 8-11 please :(

Could I get help with 8-11 please :(

Answers

Answer:

8. m∠1 = 64, m∠2 = 26, m∠3 = 36

9. m∠1 = 73, m∠2 = 58, m∠3 = 107, m∠4 = 49, m∠5 = 131

10. m∠1 = 34, m∠2 = 52, m∠3 = 38, m∠4 = 94, m∠5 = 56, m∠6 = 38

11. m∠1 = 62, m∠2 = 71, m∠3 = 109, m∠4 = 35, m∠5 = 109, m∠6 = 29, m∠7 = 47, m∠8 = 62

Step-by-step explanation:

8. m∠1 = 180 - (75 + 41) = 180 - 116 = 64

m∠2 = 90 - 64 = 26

m∠3 = 90 - 54 = 36

9. m∠3 = 180 - 73 = 107

m∠1 = 73

m∠2 = 180 - (73 + 49) = 180 - 122 = 58

m∠4 = 49

m∠5 = 180 - m∠4 = 180 - 49 = 131

10. m∠6 = 90 - 52 = 38

m∠3 = m∠6 = 38, m∠2 = 52

m∠5 = 180 - (86 + 38) = 180 - 124 = 56

m∠1 = 90 - 56 = 34

m∠4 = 180 - (34 + 52) = 180 - 86 = 94

11. m∠2 = 71

m∠3 = m∠5 = 180 - 71 = 109

m∠1 = 180 - (47 + 71) = 180 - 118 = 62

m∠4 = m∠2 - 36 = 71 - 36 = 35

m∠6 = m∠2 - 42 = 71 - 42 = 29

m∠7 = 47

m∠8 = m∠1 = 62

The figure above shows a graph of a line that goes through the origin. What is the value of k/h?

A. 4 B. 3 C. 4/3 D. -4/3 E. -4

The figure above shows a graph of a line that goes through the origin. What is the value of k/h?A. 4

Answers

Answer: The answer is B.3

Which of the following sets of values has the greatest
variability?
Group of answer choices
A) 1, 4, 7, 9, 11
B) 2, 2, 3, 3, 4
C) 7, 7, 8, 9, 9
D) 2, 3, 5, 7, 8

Answers

A i believe : ) ( : a a a

The equation and graph of a polynomial are shown below. The graph reaches its minimum one the value of X is 4. What is the y-value of this minimum?

The equation and graph of a polynomial are shown below. The graph reaches its minimum one the value of

Answers

Solution

The y-value of this minimum

when x=4

We need to substitute to the polynomial equation

\(\begin{gathered} y=2x^2-16x+30 \\ \text{Let substitute for x } \\ y=2(4)^2-16(4)\text{ +30} \\ y=2(16)-64+30 \\ y=32-64+30 \\ y=-2 \end{gathered}\)

The y-value of this minimum is -2

Which graph represents the equation y equals one half times x minus 1?

graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1

graph of a line passing through the points negative 2 comma 0 and 0 comma 1

graph of a line passing through the points negative 2 comma negative 3 and 0 comma negative 2

graph of a line passing through the points negative 4 comma 0 and 0 comma 2

Answers

The correct graph which represents the equation y = 1/2x - 1 is,

⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ y = 1/2x - 1

Now, After draw the equation we get;

Graph of a line passing through the points (-2, - 2) and (0, - 1).

Thus, The correct statement is,

⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.

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Which graph represents the equation y equals one half times x minus 1? graph of a line passing through

HELP QUICKY NEED THIS ANSWER NOW!! WHAT ARE THE EXPEESSIONS??

HELP QUICKY NEED THIS ANSWER NOW!! WHAT ARE THE EXPEESSIONS??

Answers

Answer:

27n + 66p and 12x +75y +21

Answer:

the second one and the fourth one

35% of a number is what fraction of that number?
Your answer should be
a simplified proper fraction, like 3/5
a simplified improper fraction, like 7/4

Answers

Answer:

7/20, that's what my calculator says, hope this helps

Step-by-step explanation:

please help!! will mark as brainliest!

Presley has to clean her 40-gallon fish tank. Her first step is to drain the tank. Using a hose and a
siphon, she finds that she can drain 16 gallons of water per hour.
Presley writes the equation 40 - 16x = 0, where x is the number of hours, to determine how many
hours it will take to drain the tank.
The next step Presley wrote to solve the equation is shown here:
40 = 16x
Which property did she use to get to this step?

a.) addition property of equality
b.) multiplication property of equality
c.) distributive property of equality
d.) combining like terms

Answers

Answer: The answer is A.addition property of equality

Hope I helped

Pkease mark me as brainliest!

Evaluate the triple integral ∭Ex8eydV, where E is bounded by the parabolic cylinder z=16−y2z=16 and the planes z=0,x=4,and x=−4

Answers

Refer to the images attached.

Evaluate the triple integral Ex8eydV, where E is bounded by the parabolic cylinder z=16y2z=16 and the
Evaluate the triple integral Ex8eydV, where E is bounded by the parabolic cylinder z=16y2z=16 and the
Evaluate the triple integral Ex8eydV, where E is bounded by the parabolic cylinder z=16y2z=16 and the

Amie earns $24.50 per week for her allowance. She saves $7 of her allowance each week for a new jacket. The jacket cost $82. Which equation best represents the number of weeks, p, Poppy needs to save for the jacket?
a
7.00w = 82

b


c
82 – w = 7.00

d
7.00 + w = 82

Answers

The equation that best represents the number of weeks, p, Poppy needs to save for the jacket is A. 7.00w = 82

What is an equation?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this situation, Amie earns $24.50 per week for her allowance and she saves $7 of her allowance each week for a new jacket.

Let the number of weeks be w.

The equation will be:

(Amount saved × number of weeks) = Total cost

(7 × w) = 82

7w = 82

The correct option is A

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the distance between -8 and 6

Answers

Answer:

14 is the number of distance between them if you're asking for

-8-6 it's 2

Answer:

12

Step-by-step explanation:

Get the absolute value of -8 and 6, which is 8 and 6, and add them together.

The total cost for electricity use in a school in January was 44277·6 pence. Write this in £, giving your answer to the nearest penny.

Answers

Answer:

£442.78

Step-by-step explanation:

There are 100 pence in 1 Pound (£)

We want to determine the value of 44277·6 pence in pounds.

Expressing it as a ratio

100:1 = 44277·6:x

\(\dfrac{100}{1}=\dfrac{44277.6}{y} \\$Cross multiply\\100y=44277.6\\Divide both sides by 100\\\dfrac{100y}{100}=\dfrac{44277.6}{100}\\y=442.776\\y=\£442.78$ (to the nearest penny)\)

44277·6 pence=£442.78 (to the nearest penny)

Answer:

The amount in pounds  ≈ £ 442.78

Step-by-step explanation:

The total cost of the electricity in the school in January was 44277.6 pence. The cost of the electricity bill in pounds can be represented below.

Let us find the number of pence that makes a pounds (£).

1 pence sterling = £ 0.01

44277.6 pence  = ?

cross multiply

44277.6 ×  0.01

44277.6 ×  0.01 = 442.776 pounds

The amount in pounds  = £442.776

Rounding to the nearest penny ≈ £442.78

Helpppp I’m being timed please write this in y=Mx+b form

Helpppp Im being timed please write this in y=Mx+b form

Answers

Answer:

y=2x-2

Step-by-step explanation:

Answer:

y = 2x - 2

Step-by-step explanation:

find the slope, and the y axis

PLZZ HELP NOWW!!! so im doing algebra and we are doing adding and subracting polynomials and i really need help and there are 3 questions.

Answers

Answer:

where are the questions??

Step-by-step explanation:

HELP PLEASE!!!!!!!!!! ASAP

HELP PLEASE!!!!!!!!!! ASAP

Answers

Answer:

j - 150

k - 62

l - 52

m - 96

b) You are saving for a vacation by taking $100 out of your paycheck each month and putting it into a savings account that pays 3% nominal interest, compounded monthly. How long will it take for you to be able to take that $3,000 vacation?
c) What is the equivalent effective interest rate for a nominal rate of 5% that is compounded...
i. Semi-annually
ii. Quarterly
Daily
iv. Continuously

Answers

b) It will take approximately 24.6 years to save $3,000 for your vacation by saving $100 each month with a 3% nominal interest rate compounded monthly.

c) equivalent effective interest rates are:

i. Semi-annually: 5.06%

ii. Quarterly: 5.11%

iii. Daily: 5.13%

iv. Continuously: 5.13%

EXPLANATION:

To calculate the time it will take for you to save $3,000 for your vacation, we can use the future value formula for monthly compounding:

\(Future Value = Principal * (1 + rate/n)^(n*time)\)

Where:

- Principal is the amount you save each month ($100)

- Rate is the nominal interest rate (3% or 0.03)

- n is the number of compounding periods per year (12 for monthly compounding)

- Time is the number of years we want to calculate

We need to solve for time. Let's substitute the given values into the formula:

\($3,000 = $100 * (1 + 0.03/12)^(12*time)Dividing both sides of the equation by $100:30 = (1.0025)^(12*time)\)

Taking the natural logarithm (ln) of both sides:

\(ln(30) = ln((1.0025)^(12*time))Using logarithmic properties (ln(a^b) = b * ln(a)):ln(30) = 12*time * ln(1.0025)\)

Solving for time:

\(time = ln(30) / (12 * ln(1.0025))\)

Using a calculator:

time ≈ 24.6

c)To calculate the equivalent effective interest rate for a nominal rate of 5% compounded at different intervals:

i. Semi-annually:

The effective interest rate for semi-annual compounding is calculated using the formula:

Effective Interest Rate = (1 + (nominal rate / number of compounding periods))^number of compounding periods - 1

For semi-annual compounding:

\(Effective Interest Rate = (1 + (0.05 / 2))^2 - 1\)

Calculating:

Effective Interest Rate ≈ 0.050625 or 5.06%

ii. Quarterly:

The effective interest rate for quarterly compounding is calculated similarly:

\(Effective Interest Rate = (1 + (0.05 / 4))^4 - 1\)

Calculating:

Effective Interest Rate ≈ 0.051136 or 5.11%

iii. Daily:

The effective interest rate for daily compounding is calculated using the formula:

Effective Interest Rate = (1 + (nominal rate / number of compounding periods))^number of compounding periods - 1

Since there are approximately 365 days in a year:

\(Effective Interest Rate = (1 + (0.05 / 365))^365 - 1\)

Calculating:

Effective Interest Rate ≈ 0.051267 or 5.13%

iv. Continuously:

The effective interest rate for continuous compounding is calculated using the formula:

\(Effective Interest Rate = e^(nominal rate) - 1\)

For a nominal rate of 5%:

\(Effective Interest Rate = e^(0.05) - 1\)

Calculating:

Effective Interest Rate ≈ 0.05127 or 5.13%

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sqrt (25+9)!!!!!!!!!!!!!!!!!!!!!!!!!

sqrt (25+9)!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

\(\sqrt{25+9}\) =

\(\sqrt{34}\) =

≈5,83095    (5,8309518948453)

. suppose that a and b are mutually exclusive events for which p(a) = .3 and p(b) = .5. what is the probability that (a) either a or b occurs? (b) a occurs but b does not? (c) both a and b occur?

Answers

Given, a and b are mutually exclusive events for which P(a) = 0.3 and P(b) = 0.5.The mutually exclusive events mean the occurrence of one event excludes the occurrence of another event.

(a) Probability of either a or b occurs: The probability of either a or b occurs is given by P(a U b)

P(a U b) = P(a) + P(b) - P(a ∩ b) where P(a ∩ b) = 0, as a and b are mutually exclusive events. So, P(a U b) = P(a) + P(b) - P(a ∩ b)= 0.3 + 0.5 - 0= 0.8. Therefore, the probability of either a or b occurs is 0.8.

(b) Probability of a occurs but b does not: The probability of a occurs but b does not is given by P(a ∩ b') where b' represents the complement of b. Therefore, P(a ∩ b')= P(a) × P(b') where P(b') = 1 - P(b) = 1 - 0.5 = 0.5. So, P(a ∩ b') = P(a) × P(b')= 0.3 × 0.5= 0.15. Therefore, the probability of a occurs but b does not is 0.15.

(c) Probability of both a and b occur: The probability of both a and b occur is given by P(a ∩ b). But, P(a ∩ b) = 0, as a and b are mutually exclusive events. Therefore, the probability of both a and b occur is 0.

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Harper knows he is 50 yards from school. The map on his phone shows that the school is 34
3
4
inch from his current location.
How far is Harper from home, if the map shows the distance as 3 inches? Enter your answer in the box.

Answers

If the map shows that the school is 3 inches from home , that means the Harper home is 4.47 yards away from the school .

In the question,

it is given that

the 34 inches in map is equal to 50 yards in real .

So , 34 inches = 50 yards

1 inches = 50/34 yards

So, 1 inch = 1.47 yards

given that the the distance is 3 inches in map , then in real it will be

3 inch = 3*1.47 yards

= 4.47 yards

Therefore , If the map shows that the school is 3 inches from home , that means the Harper home is 4.47 yards away from the school .

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Help asap please show your work

Help asap please show your work

Answers

Answer:

false

Step-by-step explanation:-3 in the () means -3 x -3 which is positive 9, where as without () it's -3x3 which is -9. Positive 9 is bigger than -9.

Answer:

False

Step-by-step explanation:

-3^2 = -(3^2) = -(3 × 3) = -9

(-3)^2 = -3 × -3 = 9

-9 < 9

Can you construct an example of a discrete random variable which does not have a finite expectation?

Answers

Throwing a coin until it lands tails is an example of a discrete random variable which does not have a finite expectation.

For the given question,

A discrete random variable is a type of variable whose value depends upon the numerical outcomes of a certain random phenomenon. Discrete random variables are always whole numbers, which are easily countable.

It is a variable that can take on a finite number of distinct values and takes numerous values. It is also known as a stochastic variable. When you consider probabilistic experiments with infinite outcomes, it is easy to find random variables with an infinite expected value.

Let X be a random variable that is equal to 2ⁿ with probability 2⁻ⁿ (for positive integer n). Then,

\(E(X)=\sum_{n:1}^{\infty} |2^{-n}2^{n}|\)

⇒ \(E(X)=\sum_{n:1}^{\infty} (1)\)

⇒ \(E(X)=\infty\)

Consider the following example,

You throw a coin until it lands tails.

Let n be the number of heads

Then number of heads can be found by, 2ⁿ

Now, the expected value function is

\(E(X)=\frac{1}{2}(2^{0} )+ \frac{1}{4}(2^{1} )+....\)

⇒ \(E(X)=\sum_{n:1}^{\infty} |2^{-n}2^{n-1}|\)

⇒ \(E(X)=\sum_{n:1}^{\infty} \frac{1}{2}\)

⇒ \(E(X)=\infty\)

Since the number of outcomes is infinite. The probability of each outcome decreases exponentially.

Hence we can conclude that throwing a coin until it lands tails is an example of a discrete random variable which does not have a finite expectation.

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The parabola $y = ax^2 + bx + c$ is graphed below. Find $a+b+c$. (The grid lines are one unit apart.)

The parabola $y = ax^2 + bx + c$ is graphed below. Find $a+b+c$. (The grid lines are one unit apart.)

Answers

If \(x=0\), then \(y=a\cdot0^2+b\cdot0+c=5\), so \(c=5\).

If \(x=1\), then \(y=a\cdot1^2+b\cdot1+c=2\), so \(a+b+5=2\) or \(a+b=-3\).

If \(x=2\), then \(y=a\cdot2^2+b\cdot2+c=1\), so \(4a+2b+5=1\) or \(2a+b=-2\).

We have

\(a+b=-3\implies -a-b=3\)

\((2a+b)+(-a-b)=-2+3\)

\(\implies a=1\implies b=-4\)

So we end up with

\(a+b+c=1+(-4)+5=\boxed{2}\)

pls help i was to turn this by tomorrow

pls help i was to turn this by tomorrow

Answers

Answer:

a d

Step-by-step explanation:

100 points, brainliest, and multiple choice!!!!!!!!

100 points, brainliest, and multiple choice!!!!!!!!
100 points, brainliest, and multiple choice!!!!!!!!

Answers

Answer:

5-0 =15 by using shuvam theorY


How many milliliters are in
10 teaspoons? 1 tsp = 5 mL

Answers

Answer:

about 50

Step-by-step explanation:

Ten teaspoons equal 50 milliliters using the conversion factor 1 tsp = 5 mL.

1 tsp = 5 mL

By multiplying 10 teaspoons by the conversion factor (10 tsp × 5 mL/1 tsp)

10 teaspoons × 5 mL/1 tsp = 50 milliliters

So, there are 50 milliliters in 10 teaspoons.

The conversion factor enables us to maintain the same quantity while converting between different units of measurement. It is an essential tool for performing precise conversions in a variety of disciplines including chemistry, medicine and cooking. For practical applications unit conversions must be understood in order to ensure accurate measurements and consistent outcomes across various measurement systems. Since milliliters are a more commonly used unit of measurement, the conversion in this instance enables us to express the volume of teaspoons in that unit.

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.PROBLEM 1: True or False. You don't have to justify. a) Let A and B be nxn matrices, then AB=BA. b) The set of vector ((0,0)) in R2 is linearly independent. c) The basis of a (finite dimensional) vector space is not unique. d) A trial solution for y" - y'=e' is yp= Ate¹ e) A general solution to an nth order differential equation doesn't have to contain n constants.

Answers

a) False. In general, matrix multiplication is not commutative, so AB is not necessarily equal to BA.

b) True. The set {(0,0)} in R2 is linearly independent because it consists of a single vector, and any set containing only the zero vector is linearly independent.

c) True. The basis of a finite-dimensional vector space is not unique. A vector space can have multiple sets of vectors that span the space and are linearly independent, which can be used as bases for the vector space.

d) True. A trial solution for the differential equation y" - y' = e^t is yp = At * e^t, where A is a constant. The exponential function e^t is already a solution to the homogeneous equation, so we multiply it by t to get a particular solution.

e) False. A general solution to an nth order differential equation typically contains n constants. The order of the differential equation determines the number of arbitrary constants that need to be determined to obtain a complete solution.

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Pls. Help find these answers?!

Pls. Help find these answers?!

Answers

Answer:

12

Step-by-step explanation:

Answer:

1) 12 boxes

2) 3, 6, 12

3) 12

4) 110 degrees

Step-by-step explanation:

1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.

Length: 4 boxes

Width: 3 boxes

4 x 3 = 12

12 boxes

2)

10% of 30 is 0.1 times 30.

0.1 x 30 = 30/10 = 3

20% of 30 is 0.2 times 20.

0.2 x 30 = 30/5 = 6

40% of 30 is 0.4 times 20.

0.4 x 30 = 30/2.5 = 12

3) Count the cubes. Reminder there are 2 boxes you cannot see.

Top Layer: 2

Middle Layer: 4

Back Bottom Layer: 4

Front Bottom Layer: 2

2 + 4 + 4 + 2 = 12

4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.

180/18 (The angle of each section)

10

11 Sections

10 x 11 = 110

a giraffe can run 32 miles per hour. what is this speed in feet per second?

Answers

Answer:

46.9 ft/sec

Step-by-step explanation:

A giraffe can run 32 miles per hour. What is this speed in feet per second? Round your answer to the nearset tenth.

Plzzz help me with thiss

Plzzz help me with thiss

Answers

Answer:

that is an unusual question...

there is no table present... I will assume a 10x10 addition table

6.  up one row subtracts 10 right one column adds one... so

the result is "subtract 9"

7. same logic as "6" result "subtract 53"

8.

Step-by-step explanation:

Step-by-step explanation:

A typically addition equation is

\(x +y = z\)

where x and y is the addends and z is the sum.

Addends both play a role in what the sum will be and they are interchangble.

A addition table have rows and columns. If we move right or down, our sum will increase. If we move left or up, our sum will decrease.

Now let answer the question.

6. If we move the up one row( which is horinzontial), our sum will decrease by 1 then if we right one column our sum will increase by 1. So this means each value will stay the same.

7. If we move up 5 rows, our sum will decrease by 5. If we move to left 3 columns, our sum will increase by 3. So all of our values will decrease by 2.

8. Write a 10 by 10 addition table.Highlight a number in any row. To add 5 to the number, either move right 5 columns or down 5 rowsTo subtract 9, either move left 9 columns or up 9 columns.

The number should be 4 less than you choose.

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Correct all errors in the use of abbreviations and numbers in the passage below. Type your changes all in CAPITALS. Mr. Jas. Boone has lived at three twenty-eight Newton Terr. since Apr. nineteen hundred and sixty-three. He is a devoted outdoorsman even though he weighs only one hundred and thirty Ibs. and stands a little over 5 ft. He walks five mi. every day and treats his own illness, instead of sending for a Dr. Recently he persuaded Hon. Smith to accompany him to the V.A. hospital where the sts. are quiet and the bldgs. are beautiful to the eye. Late in the P.M. he is likely to call his friends Chas. Williams, Geo. Glass, Eliz. Bowen, and etc. over for apples and popcorn before they go for a long hike in the cool of the eve. 365 days of the year, Jas. is out there walking the hwys and byways. He says if he had a $ for every mi. he's walked, he'd be a rich man. How many calories does a 1 minute plank burn? Which change of state involves an absorption of energy? Given m|| n, find the value of x. The key to developing a successful personal fitness program isSelect one:a.designing a program like your friends.b.designing a program that is right for you. c.participating in planned programs.d.participating in sports activities. What was the first known society?"Post IndustrialIndustrialAgricultureHunting and Gathering Mrs. Hannigan rearranged a couch in her living room as shown. Mark each statement as true or false. you pay $15 to buy one ticket for a raffle supporting the local high school band. there is one first place winner who gets $500, two second place winners who get $200 each, three third place winners who get $100 each and there are no other prizes. of 800 tickets for the raffle are sold, what is the expected value of the raffle ticket to you? a dilation produces a similar figure true or false Question 19A treasury bill (money market) has the following characteristics:Currently trading at $9,780, Face value (or PAR) of $10,000, matures in 90 days.How much is the BEY (Bond Equivalent Yield)?Enter your answer in the following format: 0.1234Hint: Answer is between 0.0785 and 0.1022 "The trees were soldiers marching along the drive" is--a metaphora similealliterationrhyme which functional group can accept protons (h+), depending on ph? How do paragraphs 15-16 contribute to the development of ideas in the text? A They emphasize that experts are in agreement that Egyptian cats are largely responsible for the spread of tamed cats. B They suggest that there is no way to confirm how ancient domesticated cats spread around the world. C They reveal that experts are not in agreement about why ancient domesticated cats DNA spread around the world. D They prove that Eva-Maria Geigl and Thierry Grange dont have enough evidence to support their theory about ancient domesticated cats. Suppose g is a function from A to B and f is a function from B to C. a a) What's the domain of fog? What's the codomain of fog? b) Suppose both f and g are one-to-one. Prove that fog is also one-to-one. c) Suppose both f and g are onto. Prove that fog is also onto. On the same coordinate plane mark all points (x y) that satisfy the rule y=-3x-2 would be greatly appreciated if someone showed on a graph!! Joshua bought a book series at 40% the original price. The discount on the book series came out to $18 of. What was the regular price book series? T/F an incumbent's threat to retaliate after a potential competitor enters the market will be taken seriously by potential competitors if What is the purpose of the Bill of Rights being added to the U.S. Constitution? Meagan became a costume designer because she enjoyed spending time and sharing ideas with others interested in movies. Which of the following best describes why Meagan works What is 82 + 71? 153 11 11 153