Rhada has a 3-pound bag of clay. Her craft project requires 3 oz of clay for each batch of 4 ornaments.

If she uses all of the clay, how many ornaments can she make?

Answers

Answer 1

Answer:

64

Step-by-step explanation:

The first thing we should know is the equivalence between pound and ounce.

1 pound equals 16 ounces. Which means that Rhada has a total of:

3 * 16 = 48 ounces of clay.

We are told that for every 3 ounces of clay you can make 4 ornaments., therefore:

48 * 4/3 = 64 ornaments

Which means that you can with the amount of clay you have can make 64 ornaments.

Answer 2

Answer:

64

Step-by-step explanation:


Related Questions

There are 9⋅54 sheep spread across 18⋅52 square miles of land. Find the average number of sheep per square mile. Round your answer to the nearest whole number.

Answers

Answer:

There is an average of approximately 1 sheep per square mile.

Step-by-step explanation:

Given there are 9.54 sheep spread across 18.52 square miles of land.

The average number of sheep per square mile is given as

A = 9.54/18.52

Without using a calculator, this is by inspection, about 9/18 = 0.5.

Using a calculator, we have

A = 9.54/18.52 = 0.51511879

Approximately 1 sheep per square mile.

If the Interest earned is 119.88 and the the interest rate is 3.6 and the time is 3 years what is the principal

Answers

Answer:

that is the solution to the question

Final answer:

To calculate the principal with an interest of $119.88, an interest rate of 3.6%, and a time of 3 years, use the simple interest formula. By rearranging the formula and doing the math, the principal amount is found to be $1,110.

Explanation:

To find the principal amount when you know the interest earned, the interest rate, and the time, you can use the formula for simple interest which is Interest = Principal × rate × time. Our goal is to rearrange the formula to solve for the principal.

Given that the Interest earned is $119.88, the interest rate is 3.6% (or 0.036 when converted to a decimal), and the time is 3 years, we can plug these values into the formula:

Interest = Principal × rate × time
$119.88 = Principal × 0.036 × 3
$119.88 = Principal × 0.108

To find the Principal, divide the interest earned by the product of the rate and time:

Principal = $119.88 / 0.108
Principal = $1,110

The principal amount is $1,110.

You have a cat who has a mass of 10kg and is chasing a mouse with an acceleration of 10 m/s2. If it runs into a wall what force will be exerted by the cat?

Answers

Given:

mass of cat ( m ) = 10 kg

Acceleration ( a ) = 10 m/s²

To find out:

If it runs into a wall what force will be exerted by the cat?

Formula used:

Force = mass × acceleration

Solution:

Force = mass × acceleration

Now, Putting these values of m and a in the above equation.

we get:

F = 10 × 10

= 100 N

Thus, the force will be exerted by the cat is 100 N.

Final answer:

The force exerted by the cat when it runs into a wall can be calculated using Newton's Second Law of Motion, resulting in a force of 100 Newtons.

Explanation:

The subject of this question pertains to the concept of Newton's Second Law of Motion, which states that the force applied to an object is equal to the mass of the object multiplied by its acceleration. Here, the cat is considered the object in motion. The cat's mass is 10kg, and its acceleration is given as 10 m/s².

By substituting these values into Newton's second law (Force = mass x acceleration), we can calculate the force exerted by the cat as it runs against a wall: Force = 10kg x 10 m/s² = 100 N (Newtons). Therefore, the cat will exert a force of 100 Newtons when it runs into the wall.

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Kelly wants to buy 3 boxes of cereal.She wants to use the coupon that says buy one get on half off. If each box of cereal costs 4.75 how much will she pay in total

Answers

Answer:

$11.88

Step-by-step explanation:

Given that Kelly would get one box of cereal half off if she buys one, then we must take that into account.

Box 1: $4.75

Box 2: $4.75 ÷ 2 = $2.38

Box 3: $4.75

Now we simply add the totals:

4.75 + 2.38 + 4.75 = $11.88

Use the grouping method to factor the polynomial below completely.
x3-5x2+3x-15

Answers

Answer:

x^3 - 3x^2 + 5x - 15

x^2(x-3) +5(x-3)

(x^2 + 5)(x - 3) <==Answer

Step-by-step explanation:

When determining which x-values would make an expression undefinéd, you do not need to
include the factors you canceled out.
True
False

Answers

Answer:false

Step-by-step explanation: Then you would get rid of the x

A gemstone is cut in the shape of a triangular pyramid.The area of the base of the pyramid is 42 square millimeters.the height of the pyramid is 4 millimeters.what is the volume of the gemstone.

Answers

Answer:

The volume of this pyramid is 56 millimeters³

Step-by-step explanation:

The volume for a triangular pyramid is given by the following formula:

volume = (1/3)*(base area)*h

In order to solve this problem we must take the given data for the pyramid and apply it to the formula above. We have:

volume = (1/3)*42*4

volume = 14*4

volume = 56 millimeters³

The volume of this pyramid is 56 millimeters³

Identify the zeros of the polynomial function N(x)=1/2 (x-1)(x+3).
a:x+-3
b:x=-1
c:x=1
d:x=3

Answers

Answer:

a:x=-3

c:x=1

Step-by-step explanation:

The zeros of a function are the values of x for which the value of the function f(x) becomes zero.

In this problem, we have the following function:

[tex]f(x)=\frac{1}{2}(x-1)(x+3)[/tex]

Here we want to find the zeros of the function, i.e. the values of x for which

[tex]f(x)=0[/tex]

In order to make f(x) equal to zero, either one of the factors [tex](x-1)[/tex] or [tex](x+3)[/tex] must be equal to zero.

Therefore, the two zeros can be found by requiring that:

1)

[tex]x-1=0\\\rightarrow x=+1[/tex]

2)

[tex]x+3=0\\\rightarrow x=-3[/tex]

So the correct options are

a:x=-3

c:x=1

Two hikers are 33 miles apart and walking toward each other. They meet in 5 hours. Find the rate of each hiker if one hiker walks 4.4 mph faster than the other.

Answers

Answer:

slow hiker rate= 1.1mph and fast hiker rate= 5.5 mph

Step-by-step explanation:

lets consider the Speed of the slow hiker =x

Then Speed of fast hiker =x+4.4

As we know that distance is the product of speed and time

therefore,

Distance covered by slow hiker in 5 hours = 5x km

Distance covered by fast hiker in 5 hours=5 (x+4.4)=5x+22 km

As they are are 33 miles apart , therefore

5x + 5x+22 = 33

10x = 33-22

10x = 11

x =11/10 => 1.1

Rate of slow hiker is x i.e 1.1mph

Rate of fast hiker = x+4.4 => 5.5 mph

Answer:

slower hiker's speed = 1.1 mph

faster hiker's speed = 5.5 mph

Step-by-step explanation:

Extracting the key information from the question:

*** Two hikers are 33 miles apart and are walking towards each other.

*** One of them walks 4.4 mph faster than the other and later met themselves in 5 hours.

*** We are required to find the speed of each of the hikers.

  Speed = distance/time

 Let us use "x" to represent the slower speed. Since one of the hikers was 4.4 mph faster than the other hiker, we can represent the faster speed with x+4. Now, if they met themselves in 5 hours, even though they were 33 miles apart initially, then we can represent the situation with the given equation:-

 

  (x mph × 5hours) + [(x+4.4)×5] = 33 miles

5x  +  (5x + 22) = 33

5x + 5x + 22= 33

10x + 22 = 33

 10x = 33-22

  10x = 11

    x = 11/10

    x = 1.1mph (speed of slower hiker)

 The speed of the faster hiker = x + 4.4

 = 1.1 + 4.5

 = 5.5mph

Compare √7 and √12 plotted on the number line. What is the approximate difference in tenths between the two values? A number line going from 0 to 4. Points StartRoot 7 EndRoot and StartRoot 12 EndRoot are plotted.   StartRoot 12 EndRoot is greater thanStartRoot 7 EndRoot.

Answers

0.8‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

Answer:

o.8

Step-by-step explanation:

trust me im doing it

Solve for x. -3x - 8 = 10

Answers

Steps to solve:

-3x - 8 = 10

~Add 8 to both sides

-3x - 8 + 8 = 10 + 8

~Simplify

-3x = 18

~Divide -3 to both sides

-3x/-3 = 18/-3

~Simplify

x = -6

Best of Luck!

The solution of the equation -3x - 8 = 10 is,

⇒ x = -6

The given algebraic equation is,

-3x - 8 = 10

Now since its degree is 1

Therefore it is nothing but a linear equation.

By simple operation we can solve it

Now to solve it proceed the following steps:

Add 8 both sides, we get

⇒ -3x - 8 + 8 = 10 + 8

⇒            -3x  = 18

Divide by -3 both sides we get

⇒            x  = 18/-3

⇒            x  = 6

Hence,

The solution is x = -6

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can someone write this in standard form? 1/7(14x+7)-5

Answers

Answer:

No because it is mathematically incorrect.

The expression simplifies to [tex]\( 2x - 4 \)[/tex] in standard form after distributing and combining like terms.

Let's break it down step by step:

1. Start with the given expression: [tex]\( \frac{1}{7}(14x+7) - 5 \)[/tex]

2. Distribute [tex]\( \frac{1}{7} \)[/tex] across the parentheses:

[tex]\[ \frac{1}{7} \cdot 14x + \frac{1}{7} \cdot 7 \][/tex]

3. Simplify each term after distributing:

[tex]\[ \frac{1}{7} \cdot 14x = 2x \][/tex]

[tex]\[ \frac{1}{7} \cdot 7 = 1 \][/tex]

4. Now, rewrite the expression with the distributed terms:

[tex]\[ 2x + 1 - 5 \][/tex]

5. Combine like terms (1 and -5):

[tex]\[ 2x + (1 - 5) \][/tex]

6. Simplify the terms inside the parentheses:

[tex]\[ 2x + (-4) \][/tex]

7. Simplify further:

[tex]\[ 2x - 4 \][/tex]

So, the expression [tex]\( \frac{1}{7}(14x+7) - 5 \)[/tex] in standard form simplifies to [tex]\( 2x - 4 \).[/tex]

What is the volume of the oblique cylinder rounded to the nearest cm^3?

Answers

Answer: [tex]32009355.90cm^3[/tex]

Step-by-step explanation:

Formula: [tex]V=Bh\\[/tex]

Since the base is a circumference, we can replace B for the area of a circumference formula.

[tex]V=\pi r^2h[/tex]

What we have here is 12 ft as the diameter of the circumference. A diameter is twice the radius, therefore we can conclude that if we take the diameter and divide it by 2, it will give us the radius.

[tex]12/2=6ft[/tex] this is the radius.

Now plug all this information into your formula.

[tex]V=(3.14)(6ft)^2(10ft)\\V=(3.14)(36ft^2)(10ft)\\V=1130.40ft^3[/tex]

Our values are in feet but the question requires cm. Let's convert from [tex]ft^3[/tex] to [tex]cm^3[/tex].

Normally, our conversion factors are raised to the power of 1, but in this case it's raised to the power of 3. So, first let's see how many cm are 1 ft.

[tex]1ft=30.48cm[/tex]

Here is where magic comes. We can raise both to the power of 3, in order to find the cubic ft and cm that we need as our conversion factors.

[tex](1ft)^3=(30.48cm)^3\\1ft^3=28316.8cm^3[/tex]

Now we have our conversion factors.

[tex]1130.40ft^3(\frac{28316.84cm^3}{1ft^3})=32009355.90cm^3[/tex]

You decide to take a guitar lessons. Each half-hour lesson costs $20. How much will you budget to pay for a half-hour lesson each week for 26 weeks?

Answers

Answer:

520

Step-by-step explanation:

If you pay for a half an hour lesson that is 20 dollars.

So if you do that for a total of 26 weeks you would multiply 20 dollars by 26 weeks.

20*26=520

Therefore she spends 520 dollars for half hour lessons that cost 20 for 26 weeks

I have to find the missing coordinates please help!

Answers

Answer:

  4.8 or 4 4/5

Step-by-step explanation:

Put the given value into the equation and solve for the missing one.

  (3/5)(6) -(1/3)y = 2

  3.6 -y/3 = 2 . . . simplify to decimal form

  -y/3 = -1.6 . . . . subtract 3.6

  y = 4.8 . . . . . . . multiply by -3

The missing number is ...

  4.8 = 4 4/5

_____

The coefficients are given as fractions, so the answer may be expected in mixed-number form.

How many centimeters are in x meters???

Answers

Answer:

One centimeter is equal to 10 millimeters. It is also equal to 0.1 decimeter and 0.01 meter. One kilometer contains 100,000 centimeters.

Step-by-step explanation:

thank me and rate me!!!plz thank you :)

Answer: 100x centimeters

Step-by-step explanation:

We know that 100 centimeters are in every meter. To find the number of centimeters in X amount of meters, we multiply X by 100. Take for example 4 meters. 4 times 100 equals 400. We then know that there are 400 centimeters in 4 meters.

A fish tank is 2 metres long, 50 centimetres wide and 20 centimetres high. How many litres of water will it hold if it is filled to the top ?

Answers

Answer:

It will hold 200 Litres  of water

Step-by-step explanation:

To find the number of litres of water the fish tank can hold, we will follow the steps below;

Write down the formula for calculating its volume

V = l×w×h

where v = volume of the tank

w=width of the tank  

l = length of the tank

From the question given;

w= 50 cm = 0.5 m

height h = 20 cm = 0.2 m

l = 2 m

V= l×w×h

  =  2×0.5×0.2

  =0.2 m³

we can now change it to liters

V = 0.2 m³ × 1000 = 200 L

It will hold 200 Litres  of water

Solve for p.
16 – 3p = 2/3p+5

Answers

Answer:

p=3

Step-by-step explanation:

16-3p=2/3p+5

16=3 2/3p+5

11=3 2/3p

3=p

Answer:

p = -33/7

Step-by-step explanation:

We first re-organize the equation.

3p - 2/3p = 5 - 16

9-2/3p = -11

7p/3 = -11

Then we cross multiply-

7p = -33

p = -33/7

there are 4/7 as many girls as there are boys. There are 66 students in the fifth grade. How many students are girls?

Answers

my guess is 24 girls.

N n N n N n N n N n n N N Suppose that you were to draw a random sample of one letter from the set of letters above. Two possible events are A = the chosen letter is upper-case and B = the chosen letter is underlined. Find P(A or B). Round your answer to three (3) decimal places.

Answers

Answer:

10/13 = 76.92%

Step-by-step explanation:

The question is missing some information because the underline is missing.

If we make table based on if the letter upper case (A) or lower case(a), and if the letter underlined(B) vs not underlined(b) the data will be:

             A          a

B           4           3         7

b           3           3         6

total      7          6

There are total of 13 letter there. The calculation will be:

P(A or B) = P(A) + P (B) - P(A and B) = (7 + 7 -4) / 13= 10/13 = 76.92%

Use the box-and-whiskers plots below to answer questions about the math test scores of two different classes. A box-and-whisker plot labeled Class A. The number line goes from 5 to 14. The whiskers range from 6.5 to 12.5 and the box ranges from 7.5 to 11. A line divides the box at 9. A box-and-whisker plot labeled Class B. The number line goes from 5 to 14. The whiskers range from 6 to 12 and the box ranges from 7.2 to 9. A line divides the box at 8.2. Which class had the higher median score? Which class, as a whole, scored better on the test? a. Class B had the higher median score. Class A scored better on the test. b. Class B had the higher median score. Class B scored better on the test. c. Class A had the higher median score. Class A scored better on the test. d. Class A had the higher median score. Class B scored better on the test.

Answers

The correct option is Class A had the higher median score. Class A scored better on the test.

What is the correct option?

A box plot is used to study the distribution and level of a set of scores. The box plot consists of two whiskers that represents the maximum and minimum numbers.

On the box, the first line to the left represents the lower quartile. The next line on the box represents the median. The third line on the box represents the upper quartile.

The median of class A = 9

The median of class B = 8.2

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P(x)equals=​R(x)minus−​C(x). Given ​R(x)equals=59 x minus 0.3 x squared59x−0.3x2 and Upper C left parenthesis x right parenthesis equals 3 x plus 14C(x)=3x+14​

Answers

Answer:

[tex]P(x)=-0.3x^2+56x-14[/tex]  

Step-by-step explanation:

The given functions are

[tex]R(x)=59x-0.3x^2[/tex]

[tex]C(x)=3x+14[/tex]

It is given that

[tex]P(x)=R(x)-C(x)[/tex]

Substitute the values of given functions in the above equation.

[tex]P(x)=59x-0.3x^2-(3x+14)[/tex]

[tex]P(x)=59x-0.3x^2-3x-14[/tex]

Combine like terms.

[tex]P(x)=-0.3x^2+(59x-3x)-14[/tex]

[tex]P(x)=-0.3x^2+56x-14[/tex]  

Therefore, the required function is [tex]P(x)=-0.3x^2+56x-14[/tex]   .

Order the numbers from greatest to least based on their absolute value. |− 2 5 |, |0.5|, |− 3 4 |, |0.35| A) |0.5| > |0.35| > |− 2 5 | > |− 3 4 | B) |− 3 4 | > |− 2 5 | > |0.35| > |0.5| C) |0.5| > |− 2 5 | > |− 3 4 | > |0.35|, D) |− 3 4 | > |0.5| > |− 2 5 | > |0.35|

Answers

Answer:|−3 4 | > |0.5| > |− 2 5 | > |0.35|

Hope this is helpful!

PLEASE HELP WILL GIVE 1ST RIGHT ANSWER AS BRAINIEST The radius of a circle is x+6 and its diameter is 3x+5. What is the circumference of the circle, in terms of pi? (Do not include the variable x in your answer.)

Answers

Answer:

The circumference of the circle = 26π unit.

Step-by-step explanation:

Given:

Radius of the circle, r = "x+6"

Diameter of the circle, d = "3(x)+5"

We have to find the circumference of the circle in terms of pi.

Formula to be used:

Circumference of a circle = 2πr or πd

As we know that:

Radius = Half of diameter

So,

[tex]radius=\frac{diameter}{2}[/tex]

[tex]x+6=\frac{3x+5}{2}[/tex]

[tex]2\times (x+6)=\frac{3x+5}{2}\times 2[/tex]

[tex]2x+12=3x+5[/tex]

[tex]12-5=3x-2x[/tex]  ...Arranging variables and constants.

[tex]7=x[/tex]

Plugging x = 7 we will find the radius and the diameter.

⇒ Radius = "x+6" = "7+6" = 13

⇒ Diameter = "3(x)+5" = 3(7)+5 =26

Lets find the circumference of the circle.

⇒ Circumference = [tex]2\pi r= 2\pi (13) = 26 \pi[/tex]        Or

⇒ Circumference = [tex]\pi d=\pi (26)=26\pi[/tex]

The circumference of the circle = 26π unit.

Can someone please help me answer this question ASAP.

( solve the system of equations using substitution)

Answers

Answer:

(-8, -1)

Step-by-step explanation:

The problem tell us that y = -1.  Plug in this y-value to wherever you see a y in the first equation.  You should be able to solve from there.  Your solution will be (-8,-1).

-2x - 3(-1) = 19

-2x + 3 = 19

-2x = 16

x = -8

For this particular problem, you could have also looked at the answer choices and seen that there was only one answer with the correct y-value.

5. The measures of angles of hexagon are 4x, 5x, 6x, 7x, 8x and 9x. Calculate the size of the largest angle

Answers

Answer:

166 2/13 deg

Step-by-step explanation:

The sum of the measures of the interior angles of a convex polygon of n sides is 180(n - 2).

A hexagon has 6 sides, so n = 6.

sum of measures of angles = 180(n - 2) = 180(6 - 2) = 180(4) = 720

4x + 5x + 6x + 7x + 8x + 9x = 720

39x = 720

x = 720/39

x = 240/13

The largest angle has measure 9x.

9x = 9 * 240/13 = 2160/13

2160/13 = 166 2/13

Answer: 166 2/13 deg

the size of largest angle is  [tex]166\frac{2}{13}[/tex] degree

What is hexagon?

Hexagon is a two-dimensional geometrical shape that is made of six sides, having the same or different dimensions of length. Some real-life examples of the hexagon shape are a hexagonal floor tile, pencil cross-section, clock, a honeycomb, etc. It can be either regular (with 6 equal side lengths and equal angles) or irregular (with 6 unequal side lengths and angles).

According to the question,

The sum of the measures of the interior angles of a convex polygon of n sides is 180(n - 2).

A hexagon has 6 sides, so n = 6.

sum of measures of angles = 180(n - 2)

                                             = 180(6 - 2)

                                             = 180 × 4

                                             = 720

4x + 5x + 6x + 7x + 8x + 9x = 720

39x = 720

x = 720/39

x = 240/13

The largest angle has measure 9x.

9x = 9 × 240/13 = 2160/13

[tex]\frac{2160}{13}[/tex]  = [tex]166\frac{2}{13}[/tex]

Hence, the size of largest angle is  [tex]166\frac{2}{13}[/tex] degree

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Three defective electric toothbrushes were accidentally shipped to a drugstore by the manufacturer along with 17 non-defective ones. What is the probability that the first two electric toothbrushes sold will be returned to the drugstore because they are defective

Answers

sleep nxbd ns jus juz b hb s hs s shs sh

Why do cats bang their head against humans?!!..

Answers

Im sorry but why are you putting this on here?

Answers:

They probably bump their heads against humans because they want someone to pet them or they like humans.

Explanation:hope I get brainliest!:D

In the figure below, the two adjacent polygons are regular. What is the measure of ∠ABC?

Answers

Answer:

= 150°

Step-by-step explanation:

Since the polygons are regular, certain mathematical assumptions would help us here.

A square is a quadrilateral with all it's 4 sides equal and all it's angles equal.

Sum of angles of a regular quadrilateral = 360.

Therefore, a single angle = 360/4

= 90°.

The Triangle is adjacent to the side of the square. We will thus assume it's an Equilateral triangle.

For an equilateral triangle, all it's 3 angles = 180.

A single angle = 180/3

= 60°.

With this,

Angle ABC = 90° + 60=

= 150°

Which is closest to the value of w in the triangle below?

Answers

Answer: B. 2.5 in

Step-by-step explanation:

From the given right angle triangle,

the hypotenuse of the right angle triangle is the unknown side.

With m∠32 as the reference angle,

the adjacent side of the right angle triangle is 4 in

the opposite side of the right angle triangle is w

To determine w, we would apply

the tangent trigonometric ratio which is expressed as

Tan θ = opposite side/adjacent side. Therefore,

Tan 32 = w/4

w = 4tan32 = 4 × 0.625

w = 2.5 in

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Use 3.14 Wright Company's cash account shows a $29,300 debit balance and its bank statement shows $27,600 on deposit at the close of business on May 31. a.The May 31 bank statement lists $190 in bank service charges; the company has not yet recorded the cost of these services. b.Outstanding checks as of May 31 total $6,500. c.May 31 cash receipts of $7,100 were placed in the banks night depository after banking hours and were not recorded on the May 31 bank statement. d.In reviewing the bank statement, a $490 check written by Smith Company was mistakenly drawn against Wrights account. e.The bank statement shows a $420 NSF check from a customer; the company has not yet recorded this NSF check. Prepare its bank reconciliation using the above information.Prepare a bank reconciliation for the company using the above information The above image shows Kibera, a neighborhood in one of Africas largest cities. What types of infrastructure are most likely missing in the neighborhood? Give two examples of how new infrastructure could help the neighborhood develop socially and economically. I willl give you a 100 points for thisone question A simple random sample of 120 vet clinics in the Midwest reveals that the vast majority of clinics only treat small pets (dogs, cats, rabbits, etc.) and not large animals (cows, horses, etc.). Of the 120 clinics sampled, 88 responded that they do not treat large animals at their clinic. If a 95% confidence interval were calculated instead of 90% confidence interval, what would happen to the width of the confidence interval? What did Siegel and Shuster each have in common when they created Superman? The presence of intermolecular forces in liquids is observed through several different phenomena. Match each of below statement with its corresponding option.adhesion, surface tension, capillary action, cohesion, meniscus, viscosity.1. _____ the ability of a liquid to flow up a narrow tube unassisted against gravity.2. _____ the attraction between molecules of the same substance.3. _____ the curvature of the surface of a liquid at the interface with the container.4. _____ the attraction between dissimilar molecules.5. _____ the resistance of a liquid to flow.6. _____ the elasticity of the surface layer of a liquid due to the liquid trying to minimize its surface area.Options:a. adhesion, b. surface tension, c. capillary action, d. cohesion, e. meniscus, f. viscosity. Each month. Diana donates the same amount of money to a charity. If she donates 1,500 in one year, how much does she donate each month? 3. "Haemon: No city is property of a single man.Creon: But custom gives possession to the ruler.Haemon: You'd rule a desert beautifully alone."In reference to the play (why was this said in the play?): Which type of report states the number of sellable parts a business has at a given time? How were Christians significant in the development of the Puritan Religion What is the connotation of the word revel in thispassage?What is the best definition of the word revel as it isused in this passage? A certain university has 8 vehicles available for use by faculty and staff. Six of these are vans and 2 are cars. On a particular day, only two requests for vehicles have been made. Suppose that the two vehicles to be assigned are chosen at random from the 8 vehicles available. (Enter your answers as fractions.)a.) Let E denote the event that the first vehicle assigned is a van. What is P(E) ?b.) Let F denote the probability that the second vehicle assigned is a van. What is P(F|E)?c.) Use the results of parts(a) and (b) to calculate P(E and F) Who's Faster, Sonic or Flash!? What are the coordinates of point C of the directed segment from A(-8,4) to B(10,-2) that partitions the segment such that AC:CB is 2:1? Chaz's new game room is shaped like a cube. It measures 15 feet across. If he wants to paint only the walls of the room, what is the surface area of the region he will paint?