Find the volume of a cone with a base radius of 3in and a height of 11in. Use the value 3.14 for π, and do not do anu rounding. Be Sure to include the correct unit in your answer.

Answers

Answer 1
Solution:

So the formula to find the volume of a cone is,

[tex]V = \pi r^{2} \frac{h}{3}[/tex]

Given,

Base of the cone is 3 inchesHeight of the cone is given as 11 inches

To Find : The Volume of the cone

Applying the values we get,

[tex]V = 3.14X(3)^{2} X \frac{11}{3}[/tex]

[tex]V = 28.26X\frac{11}{3}[/tex]

[tex]V = 103.62in^{3}[/tex]

Hence , the volume of the cone is 103.62in³


Related Questions

Nathan and Lucy are selling blueberry and apple pies for a fundraiser. Nathan sold and 13 apple pies for a total of $147. Lucy sold 7 blueberry pies and 11 apple $204. What is the cost of one blueberry pie and one blackberry pie?

Answers

The cost of  one blueberry pie and one blackberry pie is $11.30 and $11.373 respectively.

What are mathematical operators?

In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows:

Operands: The numbers used in an operation are called operands. Depending on the type of operation, different terms are applied to the operands.

Given Nathan sold 13 apples pies for $147,

cost of 13 apple pies  = $147

cost of 1 apple pie = 147/13 = $11.30

Lucy sold  7 blueberry pies and 11 apple pie $204.

7 blueberry  + 11 apple pie = $204

cost of 11 apple pie  = $124.384

cost of 7 blueberry = 204 - 124.384 = $79.615

cost of 1 blue berry = 79.615/7 = $11.373

Hence the cost of 1 apple pie is $11.30 and 1 blueberry is $11.373.

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A recreational area is formed by a rectangular shaped pool and a cement patio surrounding the pool. the pool has a length of 3x-3 meters and a width of 2x+7 meters. The patio extends x meters around to pool, on all sides of the pool. Write a polynomial expression that gives the total area of the recreational area.

Answers

The total area of the recreational area can be represented by the polynomial expression 26x² + 57x + 35.

What is the area of the rectangle?

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

The area of the rectangular pool is given by its length times its width, so the area of the pool is (3x - 3) meters × (2x + 7) meters = (6x² + x - 21) square meters.

The area of the patio is given by the length of the pool plus twice the extension (x) on each side, times the width of the pool plus twice the extension on each side, so the area of the patio is (3x - 3 + 2x) meters × (2x + 7 + 2x) meters = (5x + 4) × (4x + 14) = 20x² + 56x + 56 square meters.

The total area of the recreational area is the sum of the areas of the pool and the patio, so it can be represented by the polynomial expression:

20x² + 56x + 56 + 6x² + x - 21 = 26x² + 57x + 35

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Name the image of p (9, 1.5) after being translated along the vector <3, -0.5>

Answers

The image for P(9, 1.5) after Translation is P'( 12, 1).

What is Translation?

Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.

For example, this transformation moves the parallelogram to the right 5 units and up 3 units. It is written ( x , y ) → ( x + 5 , y + 3 ) .

Given:

P(9, 1.5) with Translating Vector (3, -0.5).

So, Applying the Translation we get

P(9 + 3, 1.5 + (-0.5))

= P(12 , 1.5- 0.5)

= P(12, 1)

hence, the image is P'( 12, 1).

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Evaluate the expressions 56 with a variable of -1

Answers

Answer:

The expression 56 with a variable of -1 is not well defined. The term 56 is a constant number, and the variable of -1 is also a constant. Therefore there is nothing to evaluate.

Step-by-step explanation:

If you want to evaluate the expression 56*(-1) it would give -56 as output because -1 is a scalar and multiplying with a scalar will change the sign of the constant 56 but it won't change its value.

In other words, to evaluate an expression, it needs to have a mathematical operation or function, operands, and/or variables that can be replaced with values or expressions. Without any operation, there's nothing to evaluate.

a) calculer: f(1,5); f(2,5); f(2)

Answers

Answer:

Step-by-step explanation:

you should give the function, if i haven't it, how can i help you.

i can give u some tips, put 1.5, 2.5, 2 in function respectively. then calculate them, u will get the answer.

Find the range of values of k for which the equation 4x² + 12x + k = 0 has no real roots.

Answers

Hello there!

Answer:

[tex](9, +\infty)[/tex]

Step-by-step explanation:

It has no real roots only if

[tex] \sqrt{b {}^{2} - 4ac } [/tex]

has no roots. That means that b² - 4ac is smaller than 0:

[tex]b {}^{2} - 4ac < 0 \\ 12 {}^{2} - 4 \times 4 \times k < 0 \\ 144 - 16k < 0 \\ 144 - 144 - 16k < - 144 \\ - 16k < - 144 \\ k > 9 \\ k \: \: \: in \: \: \: (9, +\infty)[/tex]

we can approach this from the standpoint of the discriminant, if the discriminant is negative then we only get complex roots or namely "imaginary" solutions or values, well, let's check before that happens, when the discriminant is 0.

[tex]\qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ y=\stackrel{\stackrel{a}{\downarrow }}{4}x^2\stackrel{\stackrel{b}{\downarrow }}{+12}x\stackrel{\stackrel{c}{\downarrow }}{+k} ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases}[/tex]

[tex]0=(12)^2 - 4(4)(k)\implies 0=144-16k\implies 16k=144 \\\\\\ k=\cfrac{144}{16}\implies k=9\hspace{5em} \stackrel{if~k > 9\textit{, then we land on negative territory}}{{\Large \begin{array}{llll} k > 9 \end{array}}}[/tex]

Identify the sequence that lists sides of STU in order from shortest to longest

ST, UT, SU

UT, SU, ST

SU, ST, UT

SU, UT, ST

Answers

On soloing the provided question we can say that - Area of the Circle - Area of the Triangle - Area of the Square is the area of the darkened area. A = 210-123 = 87 sq unit

what is triangle?

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is a graphical representation of a triangle having vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

the sum of the areas of the circle, the triangle, and the square.

Area of the Circle - Area of the Triangle - Area of the Square is the area of the darkened area.

A = 210-123 = 87 sq unit

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tinkerbell is gathering data on the number of girls and boys that go on a particular ride at disneyland one morning she observes that 300 girls go on the ride and 500 boys go on the ride this represents the ratio of girls and boys that go on the ride complete the table below to show this relationship explain or show how you completed the table


Girls Boys Total

blank blank 8

6 blank blank

blank 20 blank

30 blank blank

300 500 800

blank 800 blank

Answers

The complete table is given in the solution.

What is ratio?

A ratio is a way to show a relationship or compare two numbers of the same kind. We use ratios to compare things of the same type.

Given that, at Disneyland there are 300 girls go on the ride and 500 boys go on the ride this represents the ratio of girls and boys that go on the ride

The ratio of girls to boys = 3:5

Therefore, The complete table is as follows:-

    Girls                                     Boys                                     Total

     3                                             5                                             8

     6                                             10                                           16

     12                                            20                                          32

     30                                           50                                          80

     300                                         500                                      800

     480                                         800                                      1280

Hence, the complete table is above

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What are the origins of matrices?

Answers

Answer: The origins of matrices can be traced back to the 18th century, with the work of mathematicians such as Gabriel Cramer, Leonhard Euler, and Joseph-Louis Lagrange. These mathematicians developed the idea of using arrays of numbers to represent systems of linear equations, which led to the development of the concept of matrices.

The term "matrix" itself was first used by James Joseph Sylvester in 1850, although it had been in use informally for some time before then. In 1858, the English mathematician Arthur Cayley first published a systematic theory of matrices, which further developed the field.

Matrix theory was primarily used in the early days to solve systems of linear equations, but it soon found applications in areas such as linear algebra, multivariate statistics, and even quantum mechanics.

In summary, the origins of matrices can be traced back to the 18th century as an idea to represent systems of linear equations, which developed over time with contributions of many mathematicians over the centuries, and now it plays an important role in many field of mathematics and science.

Step-by-step explanation:

Guys, how many triangles are in this picture? Triangles with stripes inside also count

Answers

Therefore , as a result Two of a triangle's sides and the included  SAS angle are said to be congruent if they match the corresponding sides and angles of another triangle.

What is the SAS?

The Side-Angle-Side rule is applied to check the congruence of a set of triangles. The SAS rule states that a triangle is congruent if its two sides and included angles match those of another triangle.

Here,

if the first triangle's two sides and one of its included angles are equal to the second triangle's sides and one of its included angles.

Consequently, the SAS declares two triangles to be congruent. Two triangles are said to be congruent if their matching two sides and their included angles are found in a single triangle, according to the SAS theorem of congruence.

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The cost c in pounds of hiring a van for d days is given by the formula c=10+45d work out the cost for 5 day

Answers

cost for five days = 235
5 x 45 = 225
225 + 10 = 235!!!

The cost c in pounds of hiring a van is 235

The cost c in pounds for 1 day =45

Then cost c in pounds for  five days is c=10+45d

Which is multiple 5 days to the 45

5 x 45 = 225

Add the 10 to the answer

225 + 10 = 235

The cost  of a van hiring for number of days is 5

Then the final answer for cost c in pounds of hiring a van for five days are 235

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(36)^-2 x (9)^-2 i need help

Answers

Answer: 1/104976

Step-by-step explanation:

You can get rid of negative exponents by flipping the number. So in this case,  the expression would change to: 1/(36)^2 x (9)^2.

From there, simplify the expression. 36 squared is 1296. 9 squared is 81. Multiply those together to get 104,976.

1/104976 is your answer!

You buy 4 pounds of steak at Store A for $25.50. Your friend buys 6 pounds
of steak at Store B for $40.25. Which store is cheaper?
O No answer text provided.
O They're the same
O Store A
O Store B
Question 3

Answers

Answer: To determine which store has the cheaper steak, you need to compare the price per pound of steak at each store. To do this, divide the total price by the number of pounds of steak at each store.

At Store A, the price per pound of steak is $6.38 because 25.50 / 4 = <<25.50/4=6.375>>6.375.

At Store B, the price per pound of steak is $6.71 because 40.25 / 6 = <<40.25/6=6.708>>6.708.

Therefore, Store A is cheaper because it has a lower price per pound of steak. The correct answer is Store A.

Step-by-step explanation:

Rose bushes are planted in a line on both sides of a path. The distance between the
bushes is 2 meters. What is the largest number of rose bushes that can be planted if
the path is 20 meters long?

Answers

20 divided by 2 is 10 so there is your awnser

Cali made a drawing for her parents for a gift. She wanted to frame it. Her drawing has an area of 96 cm and a width of 8 cm. How many cm of the wooden frame will she need?

Answers

Answer: 40 cm

Step-by-step explanation:

The wooden frame needed = perimeter of the drawing
The length of the picture: 96 :8 = 12cm
The perimeter: (12 + 8) x 2 = 40 cm

Math I need help I’m very confused and I don’t understand I’m sorry it’s hard to see the photo I need answers.
For each of the following , find
the coordinates of a or b and : the x-intercept, the coordinates of C: the y-intercept the axis of symmetry,
the coordinates of the vertex,
The maximum or minimum value,

Answers

The graph's X-intercepts are ((9+55)/2,0) and ((955)/2,0), and its Y-intercept is (0,13).

what is coordinates ?

When locating points or other geometrical objects precisely on a manifold, such as Euclidean space, a coordinate system is a technique that uses one or more integers or coordinates. Locating a point or item on a two-dimensional plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y coordinates are used to describe a point's location on a 2D plane. a collection of integers that represent specific locations. The figure often has two numbers. The first number denotes the front-to-back measurement, while the second number denotes the top-to-bottom measurement. For example, in (12.5), there are 12 units below and 5 above.

given

Axis of symmetry:

x=9 /2

Vertex (minimum point): (9/2,−55/2)

X-intercepts: ((9+√55)/2,0) and ((9−√55)/2,0)

Y-intercept: (0,13)

The graph's X-intercepts are ((9+55)/2,0) and ((955)/2,0), and its Y-intercept is (0,13).

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A line passes through the point (-10,1) and has a slope of 3/2. Write an equation in point-slope form for this line.

Answers

The line passes through the point (-10,1) and has a slope of 3/20 has the equation as: y - 1 = 3/2 (x + 10)

How to write the equation of the line

The general form of a linear equation is y - y₁ = m (x - x₁).

It draws attention to the line's slope and one of the line's points (that is not the y-intercept)

The point slope formula is given by y - y₁ = m (x - x₁), where:

y = output value

y₁= the given y coordinate point

m = slope

x = input value

x₁ = the given x coordinate

substituting the point (-10,1) and slope 3/2

y - y₁ = m (x - x₁)

y - 1 = 3/2 (x + 10)

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WHAT IS THE RECIPOCAL OF 6/5

Answers

Answer: 5/6

Step-by-step explanation:

The reciprocal of a number is 1 divided by that number. The reciprocal of 6/5 is 5/6.

Answer:

5/6

Step-by-step explanation:

Well to find a fraction's reciprocal all you need is to flop it like this

6/5 => 5/6

so 5 takes the place of 6 and 6 takes the place of 5

that's how 6/5 turns into 5/6

hence, the reciprocal is 5/6 .

Please help with homework

Solve

2(x+4)=3(-2+x)

Answers

Answer:

x = 14

Step-by-step explanation:

2(x + 4) = 3( -2 + x)  distribute the 2 and the 3.

2(x) + 2(4) = 3(-2) + 3(x)

2x + 8 = -6 + 3x  Subtract 2x from both sides

2x - 2x + 8 = -6 +3x -2x

8 = -6 +x  Add 6 to both sides

8 + 6 = 6 - 6 + x

14 = x

can anyone help me out with this question

Answers

Answer:

[tex] \sf \: b) \: 45[/tex]

Step-by-step explanation:

The values given are,

→ u = 7

→ d = 10

→ e = 3.2

Now the expression is,

→ 15(d - u)

Evaluating the expression,

→ 15(d - u)

→ 15(10 - 7)

→ 15 × 3

→ 45

Hence, option (b) is correct.

Answer:45

Step-by-step explanation:

15(10-7)

15(3)

multiply and get 45

whats the answer??
its math related

Answers

Answer:

30

Step-by-step explanation:

x + 2x + 3x = 180 (the total angle of a triangle)
6x = 180
x = 180 : 6 = 30

Answer:

x = 30°

2x = 60°

3x = 90°

Step-by-step explanation:

Internal angles of a triangle sum 180°

Then:

x + 2x +3x = 180

6x = 180

x = 180/6

x = 30°

2x = 60°

3x = 90°

The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0

Answers

Answer: option b), option c), and option e) are correct options.

Step-by-step explanation:

Given:

The area of a rectangular room= 750 square feet

The width of the room = 5 feet less than the length of the room

The length of the room = Y

To find:

Equations that can be used to solve the value of Y i.e. the length of the rectangular room.

Solution:

The equation can be derived from using the following formula:

Area of rectangle = length * width

According to the question,

Length of the rectangular room = Y

Width of the rectangular room = 5 feet less than the length of the room

                                                       = (Y-5)

Since, Area of rectangle = length * width

Area of the rectangular field = length of the room* width of the room

                          750             = Y (Y – 5)                         ………..eqn. (1)

Or, the above equation can be solved a step further and written as

                          750             = Y2 – 5Y                          ………..eqn. (2)

                         750- Y2 + 5Y= 0                                    ………..eqn. (3)

                         750-Y (Y- 5) =0                                    ………..eqn. (4)

Apart from the above equations, if we solve eqn. (2) we get the following equation:

                          750             = Y2 – 5Y

                           Y2 – 5Y- 750= 0

                          Y2 – 30Y + 25Y- 750 = 0

                          Y (Y- 30) + 25 (Y- 30) = 0

                                                                   take Y- 30 common from L.H.S.

                           (Y -30) (Y+ 25)   = 0                            …………….eqn. (5)        

Hence, the correct options are option b), option c), and option e).

A rope 15 inches long has been divided into the greatest possible number of pieces in such a way that each piece has a different length, and each of these lengths in inches is expressed by a whole number. How many cuts were made?

A.3
B.4
C.5
D.6
E.7

Answers

Answer:

Below

Step-by-step explanation:

1+2+3+4+5 =15       5 lengths will require   4 cuts

a letter is chosen at random from the word FOOTBALL, the probability that the letter chosen is not an L is:

Answers

Answer:

7/8

Step-by-step explanation:

Step 1: Count the total number of letters in the word FOOTBALL

There are 8 letters in the word FOOTBALL.

Step 2: Count the number of letters that are not L

There are 7 letters that are not L.

Step 3: Calculate the probability

The probability that the letter chosen is not an L is 7/8.

Any help please, - What is the area for this?

Answers

Answer:

109.18

Step-by-step explanation:

Subtract 13.4-7.2 then solve the triangle (base x height) getting 32.86. Next solve the rectangle getting 76.32. Then add all of it concluding in 109.18.

69°F
() Which ordered pairs represent points on the graph of this equation? Select all that apply.
7y = -4x + 28
>
(3, -6)
(5,0)
(0,4)
(-4,-5)
(-5, 1)
(-6, 3)

Answers

Ordered pairs (0,4) stand in for points on the graph created by the equation 7y = -4x + 28.

What exactly is a line equation?

A linear equation with a degree of one is referred to as a line equation. Two variables, x and y, are present in the equation of the line. The third parameter is the line's slope, which indicates the line's elevation. Y = mx + c, where m is the slope and c is the intercept cut by y, is the equation of the line in its general form.

given

7y = -4x + 28

For (3,-6)

7(-6) + 4( 3) = 28  

-42 + 12 = 28

no

For (5,0)

7(0)+4(5)= 28  

= 20

no

For (0,4)

7(4)-0=28  

Yes

For (-4,-5)

7(-5)+4( - 4)= 28

no

For (-5, 1)

7(1)+4(-5)=28

No

For (-6,3)

7(-6)+4(3)= 28

No

hence the points (0, 4) on the graph of the equation 7y = -4x + 28 are ordered pairs.

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For the system of equations shown, tell whether it would take fewer steps to solve by substitution or elimination. Then use that strategy to solve the system. Explain your reasoning.
-3x - 4y = 15
9x + 7y = 25

Answers

Answer:

Step-by-step explanation:

Step: Solve−3x−4y=15for x:

−3x−4y=15

−3x−4y+4y=15+4y(Add 4y to both sides)

−3x=4y+15

−3x

−3

=

4y+15

−3

(Divide both sides by -3)

x=

−4

3

y−5

how to simplify 93.37

Answers

Answer: simplified to the tens digit would be 93.4 simplified overall would just be 93.

Step-by-step explanation: Hope this helps, please mark brainliest, and give thanks!

Factor the expression y^2+8x+12

Answers

Answer: y^2+8x+12

Step-by-step explanation:

Red city rockets connections academy

Answers

Answer: what

Step-by-step explanation:

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For example when ___________ (events from the pages before your text evidence), _____________ writes, ___________ (##). This shows repeat your claim because ___________. Copy from your notes what you thought was so interesting/ why you liked/ hated this piece of text evidence. What are 5 factors for determining your credit rating? Which species does Lucy belong to ? A seismograph measures the size of a volcano eruption.O TrueO False(This is for Science btw) 3) Terri and her friends fly 2234 miles to Spain for college. It takes them 9 hours to get there.How many miles did they travel per hour? Show your thinking. question in in the image An increase in aggregate demand is beneficial in the short run because ________ but not in the long run because ________. Express The Ratio 36 : 42 In it's Simplest Form ? Read a second text about Mary Anning.Until the 1800s, it was generally believed that animals did not become extinct. This changed with the discovery of prehistoric animal fossils, most notably dinosaurs. One of the most influential fossil hunters, Mary Anning, is also one of the least well known. Anning did not have a formal education as a scientist, but she was a self-taught fossil hunter from an early age. She excavated and recovered a skeleton of a Plesiosaurus dinosaurthe first intact Plesiosaurus skeleton ever discoveredalong with many other significant fossils. She also collaborated with some of the most respected scientists of her time. The tongue twister "she sells seashells by the seashore" is derived from a poem that was written to honor Anning's memory.Select all the details that are included in the text. Part A: Below are some idioms that you have heard or used all of your life. Write the meaning to the following idiom expressions.1. That's the way the cookie crumbles.2. He spilled the beans.3. She's the apple of his eye.4. The students in this class are going bananas.5. He's feeling blue today.6. You're walking on thin ice mister!7. Uh, oh. We're in hot water now.8. You'd better hold your tongue and button your lip.9. Mrs. Smith has eyes in the back of her head.10. Something is fishy here.Thomas needed money for the movie so he had to butter up his father.That college only accepts students who are the cream of the crop.She turned as red as a beet when I caught her cheating.Marco acted as cool as a cucumber on the day of the big race.Jake said the test would be a piece of cake.Maybe he was telling the truth, or maybe he was full of beans.At the bake sale, my mother's brownies sold like hotcakes.People were packed in like sardines on the subway train.My mother works hard to bring home the bacon.My father stopped to chew the fat with our neighbor, Mr. Jones.Oresha and I went to the game to egg on our team.My aunt's ring looked expensive, but she got it for peanuts.The puppies in the cage were going bananas.Stephanie is the apple of her father's eye.My teacher told me I had to beef up my report on George Washington.Jack Traxel is the big cheese at the cable company.It was so cold I practically froze my buns off.Even though Paul worked at the job, he wasn't able to cut the mustard.I opened my big mouth at the wrong time, so now I have to eat my words.So that's the problem in a nutshell.Books by that author are not my cup of tea.The vase was broken so there was no use crying over spilled milk.The little Jackson boy is a bad egg.I was embarrassed to give my piano teacher such a cheesy gift.We should have known the half-baked idea would not work.Please don't spill the beans about the surprise party.The souped-up car made so much noise that our neighbors called to complain.- See more at: http://www.educationworld.com/a_lesson/dailylp/dailylp/dailylp064.shtml#sthash.H3rVTkiY.dpuf11-15: Create five (5) analogies of your own.11.12.13.14.15.16-24: Write an analogy for each of the prompts below.16. Zebra is to Stripes as Giraffe is to ???17. Knife is to Cut as Pen is to ???18. Man is to Men as Goose is to ???19. Stem is to Flower as Trunk is to ???20. Creek is to River as Hill is to ???21. Gas is to Car as Wood is to ???22. Edward is to Ed as Suzanne is to ???23. Seed is to Tree as Egg is to ???24. Author is to Story as Poet is to ??? Assume that you had $130,000 in the bank and you wanted to use it to bum around Europe for as long as you could. If your account earned a 10% annual rate of return, how long would that amount provide you with an annual income of $20,000 per year Determine whether each of the following compounds is a molecular compound or an ionic compound. How can you tell? a. ) PBr b. ) KBr c. ) Iron (III) Oxide d. ) Carbon Tetraiodide Find the value of 15+2k when k=3.