A company makes chocolate candies in the shape of a solid sphere. Each piece of candy has a diameter of 6cm. If a box contains 15 pieces of candy, how much chocolate does the box contain? Use 3. 14 for π, and do not round your answer

Answers

Answer 1

The total amount of solid sphere chocolate in the box is 1695.6 cubic centimeters.

What is volume?

The space occupied within an object's borders in three dimensions is referred to as its volume.

What is the volume of sphere?

The volume or the space inside the borders of the sphere is given by the formula:

[tex]V = \frac{4\pi r^3}{3}[/tex]

Given that the diameter is 6cm, the radius r = 3cm.

Substituting the value of radius in volume we have:

[tex]V = \frac{4 (3.14)(3)^3}{3}[/tex]

[tex]V= 113.04[/tex]

The box contains 15 candies hence the total volume will be:

V = 15 * 113.04

V = 1695.6 cubic centimeters.

Hence the total amount of chocolate in the box is 1695.6 [tex]cm^3[/tex].

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Related Questions

Which number is closest to the
point on the number line?
A) -7/3
B) 16/11
C) 3/7
D) -5/5

Answers

Answer:

B. 16/11

Step-by-step explanation:

16/11 as a mixed number is 1 6/11. This is closest to 1 1/2 on the number line. The other negative numbers (-7/3, -5/5) are on the negative end on the spectrum so they are immediately eliminated. 3/7 doesn't have a whole number and therefore is not as close as 16/11 is to the point.

In baseball, each time a player attempts to hit the ball, it is recorded. the ratio of hits compared to total attempts is their batting average. each player on the team wants to have the highest batting average to help their team the most. for the season so far, jana has hit the ball 8 times out of 10 attempts. tasha has hit the ball 9 times out of 12 attempts. which player has a ratio that means they have a better batting average? tasha, because she has the lowest ratio since 0.75 < 0.8 tasha, because she has the highest ratio since 48 over 60 is greater than 45 over 60 jana, because she has the lowest ratio since 0.75 < 0.8 jana, because she has the highest ratio since 48 over 60 is greater than 45 over 60

Answers

Answer: Jana

Step-by-step explanation: because she has the highest ratio 48 over 60 > 45 over 60

I did the test

I need to factor completely to get an answer for
r²+3r-28
I need to get factors in parenthesis like (r +/- #) (r +/- #)
I need it before tomorrow

Answers

Answer:

(r + 7)(r - 4) = 0

Step-by-step explanation:

r² + 3r - 28 = 0

(r + 7)(r - 4) = 0

r = -7, 4

I'm bad at math so uh yeahhh

Answers

Answer and Step-by-step explanation:

Since we know that lines l and m are parallel (we are just proving that they are parallel), we can see that the two angles given are corresponding angles, so they are congruent to each other.

123 = 2x + 7

Subtract 7 from both sides.

116 = 2x

Now, divide both sides by 2.

58 = x

So, the value of x is 58.

#teamtrees #PAW (Plant And Water)

Daddy Dearest (Fnf) Is giving you free point s if you stay away from GF
What do you do?
A grab the points and run for your life
B Grab the coins and kidnap GF
C Rap battle him
D Ask BF to beat him

Answers

Answer:

E. Take points and kill GF

Step-by-step explanation:

Answer:

grab the points and rap battle him

Step-by-step explanation:

because why not have a rap battle for the points

the fraction r/s must be equal to which expression


choose 1 answer

a- r - s
b- r + s
c- r x s
d- r ÷ s

Answers

Hopes this helps:

Answer: D.

Have a great day.
Answer is D:)
Good luck !!

a rectangle has an area of 58.5centimeter square and it is 4.5meter wide find the length​

Answers

Answer:

0.13 cm ( as question was posted)

13 cm ( if width was in centimeters)

Step-by-step explanation:

a = lw

4.5m = 450cm

Plug in the knowns

58.5 = l(450)

Divide both sides by 450

0.13 = l

length is 0.13 cm

----------------------------

I did the qustion as you posted it.

If you intended 4.5 centimeters instead of 4.5 meters then

58.5 = l(4.5)

divide both sides by 4.5

l = 13 cm

if you toss a coin and let it fall to the floor what is the probability it lands with heads face up

Answers

Answer:

1/2

Step-by-step explanation:

PROBABILITY: THE LIKELIHOOD OF AN EVENT.

When you toss a coin, there are only two outcomes: heads or tails.

Therefore, the probability of the coin landing face-up would be 1 in 2 or 1/2.

4^{2} ÷ (2^{3} ÷ ((-1) · (9 (-5))))

Answers

Answer: -45

Step-by-step explanation:

16 divided by 8 = 2

2 divided by -1 = -2

-2 * (9(-5) = -45

Answer:

90

Step-by-step explanation:

2^4dived(2^3divide((-1)x(-45)))

2^4divide(2^3divided45)

2^4dived 2^3/45

2^4dived 8/45

2^4divied 45/8

2^4 divied 45/2^3

2+45

=90

Hope this help

Please help!Don’t under stand. 6th grade math

Answers

C.!!!!!!!!!!!!!!!!!!!!!!!

5.07 - 2.148
????????????

Answers

Answer:

Step-by-step explanation: 2.922

Answer: 2.922

Step-by-step explanation: (Look at the attachment for the best experience, or idea) So, as you can see in the attachment below, we first need to line up the decimal points with one another. They subtract in line with the other decimals and borrow. As we know, our answer is 2.922.

The radius of a circle is 7 inches what is the area give the exact answer in simplest form

Answers

Answer:

49π

Step-by-step explanation:

Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently.

Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.





PLS HELP ME IM ABT TO CRY!!!! 100 PTS
Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.

Salesman C does not earn any commission. His weekly salary is $900.

If Salesman A has exactly ____ sales, he will reach his maximum weekly commission.

Answers

Answer:

Sales = 20

Step-by-step explanation:

Simply make the equation "1300 = 65s" to solve the problem

1300 = 65s

Divide both sides by 65.

1300/65 = 65s/65

Divide 1300 by 65 to get 20.

20=s

Swap sides so that all variable terms are on the left-hand side.

s=20

A picosecond in one trillionth of a second. How many picoseconds are there in 12 minutes?

Answers

Answer:

720,000,000,000,000 or 720 trillion picoseconds.

Step-by-step explanation:

1 picosecond = 1 trillionth of a second. Therefore 1 second has 1 trillion picoseconds:

0.000 000 000 001 seconds = 1 picosecond

0.000 000 000 001 * 1,000,000,000,000 seconds = 1 * 1,000,000,000,000 picosecond

1 second = 1,000,000,000,000 picoseconds

Now, one minute is the same as 60 seconds so we multiply the equation by 60:

1 minute = 60 seconds = 60,000,000,000,000 picoseconds

Finally, we need 12 minutes to be converted to picoseconds.

12 minutes = 720 seconds = 720,000,000,000,000 picoseconds.

So therefore, 12 minutes is equal to 720,000,000,000,000 picoseconds or 720 trillion picoseconds.

Hope this helps!!!

Lloyd's Llamas has $3,241.77 in liabilities and $12,457.12 in owner's equity. If the accounting equation is in balance, Lloyd's has $_______ in assets.

Answers

The number of asset is 15.698.89

How to calculate the number of asset ?

Assets = liabilities + equity

liabilities= 3,241.77

equity= 12,457.12

Assets= 3,241.77 + 12,457.12

=  15.698.89

Hence Lloyd has 15.698.89 number of assets

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Perform the operation. (-2x^2-4x+2)-(-6x+2) (−2x 2 −4x+2)−(−6x+2)

Answers

Answer:

-50x^2+30x-4

Step-by-step explanation:

At a cafeteria, Mary orders two pieces of toast and a bagel, which comes out to $\$3.15$. Mary orders a bagel and a muffin, which comes out to $\$3.30$. Mary orders a piece of toast, two bagels, and three muffins, which comes out to $\$9.15$. How many cents does one bagel cost

Answers

On solving the question, by linear equation One bagel is 100*1.55 = 155 cents in dollars.

What is a linear equation?

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept.

A toast costs =  x dollars.

A bagel costs  = y dollars.

A muffin costs = z dollars.

It costs $3.15 for two pieces of toast and a bagel.

As a result, 2x + y = 3.15. To get the price of a bagel, we express x as a function of y,

2x = 3.15 —Y

x = -o.5y+ 1.575

It costs $3.30 for a bagel and a muffin.

Since x and z are functions of y,

—0.5y + 1.575 + + 3(3.3 — y) 9.15

—0.5y + 1.575 +2y + 9.9—3y = 9.15

—1.5y + 11.475 = 9.15

1.5y = 2.325

2.325

Y = 1.55

One bagel is 100*1.55 = 155 cents in dollars.

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What are the like terms in 3x 3 2y and 2 XY x2?

Answers

The like terms in 3x (3 - 2y) and 2 (xy + x²) are -6xy and 2xy.

3x (3 - 2y) = 3x * 3 - 3x * 2y = 9x - 6xy2 (xy + x²) = 2 * xy + 2 * x² = 2xy + 2x²

What are like terms in math equations?

Like terms are terms which have the same variables and exponents. In this case, the like terms are -6xy and 2xy because they both have the same variable (xy) and exponents (1). In algebra, like terms can be added or subtracted to simplify an expression.  Like terms are terms which have the same variables and exponents.

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Solve the triangle. Round decimal answers to the nearest tenth. Step-by-step solution.

Answers

Answer:

y = 9.4

x = 5.7

Step-by-step explanation:

From the given triangle

Opposite to the acute angle is y

Hypotenuse = 11

Angle = 59degrees

using the SOH CAH TOA identity

sin 59 = opp//hyp

sin59 = y/11

y = 11sin59

y = 9.4

Also

Adjacent = x

cos theta = adj/hyp

cos 59 = x/11

x = 11cos59

x = 5.7

someone help me please !

Answers

Answer:

base = √3/2

cos 30 = √3/2

height = 1/2

sin 30 = 1/2

coordinates: √3/2, 1/2

Step-by-step explanation:

See unit circle for reference

2 + (4-3 (3-6) -4] +12=

Answers

Answer: 23

Step-by-step explanation:

please help me i can't seem to get it

Answers

Answer:

yurrrrrrrrrrrrrr

Step-by-step explanation:

Step-by-step explanation:

43

The angle should be 43 Hope it helps:)

X
-1
0
2
f(x)
MKB6223
18
가 2
What is the decay factor of the exponential function
represented by the table?
이를
이를
○ 2
○6

Answers

Here, 1/3 is halfway between 0 and 1. The exponential function supplied has a decay factor of 1/3 as a result.

How do you find the decay factor of an exponential function?

An exponential function's basic form is:

[tex]$$y=a b^x$$[/tex]

Where an is the starting value, b>1 is the growth factor, and 0b1 is the decay factor.

the point through which the exponential function passes (0,6). In I if x=0 and y=6, we obtain

[tex]$$\begin{aligned}& 6=a b^0 \\& 6=a(1) \\& 6=a\end{aligned}$$[/tex]

the point through which the exponential function passes (1,2). Substituting [tex]$x=1, y=2, a=6$[/tex] in (i), we get

[tex]$$\begin{aligned}2 & =6(b)^1 \\2 & =6 b \\\frac{2}{6} & =b \\\frac{1}{3} & =b\end{aligned}$$[/tex]

Here, [tex]$^{b=\frac{1}{3}}$[/tex] between 0 and 1 is located. The provided exponential function's decay factor is thus [tex]$\frac{1}{3}$[/tex].

Therefore the correct answer is 1/3 .

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What are two angles on a line called?

Answers

Answer:

supplementary angles

Step-by-step explanation:

140 + 40 = 180.

Using a table of values, what is the approximate positive solution to the equation to the nearest quarter of a unit? f(x)=log(x+2) g(x)=4^x-1

Answers

Answer:

The answer is 0.25 for plato/edmentum users

Step-by-step explanation:

The x-intercept/zero for function f is x= -1 and the x-intercept/zero for function g is x= 0, therefore, the closest positive value out of the options is 0.25 sense the problem wants the functions to equal around the same value. Tbh I suck at math and idek if my explanation is right I really just guessed on the problem. Here's a ss for proof that my answer's right tho lol p.s. if ur 15-19 amos: kenz8124  Have a great day :)

The positive solution to the equation is 0.21

The functions are given as:

[tex]f(x) = \log(x + 2)[/tex].[tex]g(x) = 4^x - 1[/tex].

The tables are not given. So, we make use of graphs

Graphs of f(x) and g(x)

See attachment for the graph that represents functions f(x) and g(x).

From the attached graph, we can see that the curves of both functions intersect at x = 0.214.

Approximate the above value of x

[tex]x =0.21[/tex]

Hence, the positive solution to the equation is 0.21

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1/4 gallon of paint costs $8. 99. What is the unit price of one gallon of paint?

Answers

The unit price of one gallon of paint is going to be $35.96.

We can use the unitary method to solve this problem. The unitary method is a technique used for solving a problem by first finding the value of a single unit, and finding the necessary value by multiplying the single unit value.

In this question, it is given that 1/4 gallon of paint costs $8.99 so for 1 gallon we will have to multiply both the paint amount and the money which buys it to 4 which will conclude that 1 gallon costs $8.99 × 4 is equal to $35.96. So, 1 gallon of paint will cost $35.96.

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PLSSSS HURRY I HAVE A TIME LIMIT MUST SHOW WORK

Answers

Answer: XVR: 125 ; RVS: 55 ; WVS: 125 ; RST: 110 ; RSV: 70

Step-by-step explanation:

XVR: XVR is equal to WVS (alternate angles), and WVS plus XVW equals 180° (definition of a straight line)

So, 180° - 55° = 125° (this is the measure of SVW, but remember, SVW is equal to XVR)

RVS: RVS is equal to XVW since they're alternate angles, so we know that RVS is equal to 55°

WVS: We already solved this in the beginning

RST: First, we need to find the measure of RSV. To find the measure of RSV, use the fact that a triangle adds up to 180°. We know that the angle RVS equals 55°, and that angle VRS is also equal to 55°. So, we can use this equation:

RSV = 180° - (55° + 55°)

RSV = 70°

Now that we know RSV = 70°, we can find RST

180 - (RSV + RST)

180 - (70° + RST)

RST = 110°

RSV: We already found this

Sorry, that was a lot. Hope it wasn't too confusing.

the diameter of a circle is 9 in . find its area to the nearest tenth.​

Answers

Answer:

63.6

Step-by-step explanation:

diameter = 9

radius = 9/2= 4.5

Area of circle = 22/7 × radius²

so,

22/7×4.5×4.5 = 63.6428571

if we round off it to nearest tenth it will be = 63.6

Tickets for all of the described charity raffle games cost $2 per ticket .identify the games in which a person who buys a ticket for each game every day for the next 400 days could expect to lose less than a total of $200

Answers

Answer: To determine the games in which a person who buys a ticket for each game every day for the next 400 days could expect to lose less than a total of $200, we need to find the games in which the probability of winning is greater than the probability of losing.

Since the tickets for all of the games cost $2 per ticket, the probability of winning any given game is equal to the prize money divided by the ticket cost. For example, if the prize money for a game is $10, the probability of winning is $10/$2 = 1/2.

If the probability of winning a game is greater than the probability of losing, the expected value of the game is positive, which means that the person can expect to win more than they lose over time. On the other hand, if the probability of winning is less than the probability of losing, the expected value of the game is negative, which means that the person can expect to lose more than they win over time.

Therefore, to determine which games the person could expect to lose less than $200 in total, we need to find the games in which the prize money is greater than $2 per ticket.

Step-by-step explanation:

expand and simplify and & simplify 4(f+3)+3(f+3)

Answers

4(f + 3) = 4f + 12

3(f+3) =3f + 9

Now you have 4f + 12 + 3f + 9

Combine like terms to get

7f + 21

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