Claudia is making a candle by pouring melted wax into a mold in the shape of a cylinder. The radius of the cylinder’s base is 4 cm, and the height of the cylinder is 9 cm. To get the wax for the candle, Claudia melts cubes of wax that are each 3 cm by 3 cm by 3 cm. How many of the wax cubes will Claudia need to purchase to make the candle? (Note that Claudia is not able to purchase partial cubes). Show all your work.

Answers

Answer 1

The formula of a cylinder is 2πr (r+h)

2π4 (4+9)

8π (13)

25.13 (13)

326.73

Cubes: area = a^3

3x3x3 = 27

326.73 / 27 = 12.1

Claudia would need to buy 13 wax cubes to fil the candle.

hope this helps k12 students :)


Related Questions

pls help me classify this?!?

Answers

Answer:

what exactly are we classifying here, angle? Shape?

can anyone please solve this and tell me if it's correct, please

Answers

Answer check:

✅✅

You got both correct. Good luck on the exam!

Answer:  the first one is correct and the second one is  wrong its 1/5

Step-by-step explanation:

I need help finding the slope for m= -4/5, (-6, 8)

Answers

Answer:

fraction form: [tex]\frac{16}{5}[/tex]

decimal form: 3.2

Step-by-step explanation:

The slope is given already so I'm assuming you need the y-intercept using that point

You have at most $23 to spend at a market. Apples cost $0.50 each, and pears cost $0.75 each. Let a be numbers of apples and p be numbers of pears. Write an inequality that represents the numbers of apples and pears you can afford.

Answers

Answer:

Apples only

0.50a ≤ 23

Pears only

0.75p ≤ 23

Apples and Pears together

0.50a + 0.75p ≤ 23

Step-by-step explanation:

Since it said that "at most", the sign should be

A sphere with a diameter of 30 inches would have a volume of what

Answers

Answer:

Volume of a Sphere is 4/3 * π * r^3 , r is the radius of the sphere.

volume = 4/3 * π * r^3

= 1.13×105in³

Volume of a 30″ radius sphere is

113,097 cubic inches.

work out the equation of the line which has a gradient of 3 and passes through the point of (-1,3)

Answers

[tex]\text{Given that,}~~(x_1,y_1) = (-1,3)~ \text{and slope,}~ m = 3\\\\\text{Equation of line,}\\\\~~~~~~~y-y_1 =m(x-x_1)\\\\\implies y -3 = 3(x+1)~~~~~~~~~~;[\text{Point-slope form}]\\\\\implies y-3 = 3x +3 \\\\\implies y = 3x +3 + 3\\\\\implies y = 3x +6~~~~~~~~~~~~~~~~~;[\text{Slope-intercept form}][/tex]

Match each set of measurements to the correct calculated volume of a cylinder.
Cylinder V=Bh
diameter = 6 ft, height = 2.5 ft
volume = 20 ft
radius = 2 ft, height = 4.5 ft
volume = 187 ft
area of base = 102 ft2, height = 2 ft

volume = 22.5% ft3

Answers

Answer:

Diameter = 6 ft, height = 2.5 ft=====Volume 22.5

Radius = 2ft, height=4.5 ft=======18 pie ft ^3

Area Base = 10Pie ft ^2 , height =2 ft=====Volume 20 pie ft ^3

Step-by-step explanation:

edge 2022

A scientist was in a submarine below sea level, studying ocean life. Over the next ten minutes, she rose 22.3 feet. How many feet had she been below sea level, if she was 39.6 feet below sea level after she rose?

Answers

Answer:

39.6

Step-by-step explanation:

I think.

Find an equivalent fraction for each fraction below. 3/4

Answers

Answer: 6/8 , 9/12 , 12/16 , 15/20, ect...

Step-by-step explanation:

Its simple once you get the hang of it:)First multiply the numerator(3) and denominator(4) by any number(2,3,4,5,6,7,8,ect...).

Example:3*2   = 6

               4*2      8

You can check if it is equivalent by dividing the numerator and denominator by 2

Example:6 divided by 2= 3

               4  divided by 2   4

You can replace 2 with 3,4,5,6 ect...

3/4 multiplied by 3 =9/12, 3/4 multiplied by 4 is 12/16, 3/4 multiplied by 5 is 15/20.

Hope this helps, let me know if you want more examples.

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

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

Find an equivalent fraction for the fraction below. 3/4

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

If fractions are equivalent, they are equal to each other.

An example of a fraction equal to 3/4 is:-

[tex]\bold{\displaystyle\frac{6}{8}} \dashleftarrow\sf{The\:numerator\:and\:denominator\:are\:multiplied\:by\:2}[/tex]

This is just one example; in fact, there are infinitely many fractions equivalent to 3/4; you can multiply the numerator & denominator by 2:

6/8 = 12/16 =24/32...

You can also multiply by 3:-

9/12 =12/36...

You can multiply by 4, 5, 6, 7, 8....

Overall, you can multiply by any number you wish. As long as you multiply the numerator and denominator by the same number, you will get a fraction that's equivalent to the original fraction.

Good luck.

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

What is the difference between the greatest
and least amounts of monthly rainfall?
Write an equation to
model your work.

Answers

Answer:

Step-by-step explanation:

Answer:

1\frac{7}{8} inches1

8

7

inches

Step-by-step explanation:

From the image we know that the greatest amount of rainfall is 2 inches, and the least is 1/8. If we subtract these two, we'll find the difference

2-\frac{1}{8}=\frac{16-1}{8}=\frac{15}{8}=1\frac{7}{8}2−

8

1

=

8

16−1

=

8

15

=1

8

7

Therefore, the difference between the greatest and least amount of rainfall is 1\frac{7}{8} inches1

8

7

inches

Remember that the greatest amount of rainfall is represented by the greatest number, and the least amount of rainfall is represented by the least number.

I hope it helps you

Which one of the following statements is true about parallel lines


A. The Intersect at least twice
B. They intersect at one point
C. They intersect at more than one point
D.they never intersect

Answers

Answer:

D. They never intersect

Step-by-step explanation:

A system of two equations is shown. x + 2y = 2 2x - 3y = 26 Part A: Using the answer choices given (with examples), describe how you would find the solution.​

Answers

Answer:

[tex]x = \frac{58}{7} ,y = - \frac{22}{7}[/tex]

Step-by-step explanation:

branliest pls

standard form of y=6(x-2)^2-3

Answers

Let’s simplify!

y = 6(x - 2)² - 3
y = 6(x - 2)(x - 2) - 3
y = 6(x² - 2x - 2x + 4) - 3
y = 6(x² - 4x + 4) - 3
y = 6x² - 24x + 24 - 3
y = 6x² - 24x + 21

Eight less than four times a number is less than 56. What are the poss
O x> 12
O x < 12
O x<16
O x>16

Answers

Answer: Choice C

Choice B is another answer if it is a "choose all that apply" type of situation. If it is a "choose only one answer" question, then I'd stick with choice C.

==============================================================

Work Shown:

x = some unknown number

4x = four times that number

4x-8 = eight less than the previous expression

4x-8 < 56

4x < 56+8

4x < 64

x < 64/4

x < 16 showing why choice C is the answer

The inequality sign stays the same the entire time. The only time it flips is when we multiply or divide both sides by a negative number.

If this is a "choose all that apply" type of question, then choice B also fits the description of x < 16 since all numbers less than 12 are also automatically less than 16.

In other words: if x < 12, then x < 16. The reverse is not true.

I’ll give brainliest!

Answers

Answer:

y = 3

Step-by-step explanation:

since the line is going through the y - axis at 3, all y values will be 3 no matter the x value

I'm just checking out the app(+12)-(+37)+(-4)=

Answers

Answer:

-29

Step-by-step explanation:

(+12)-(+37)+(-4) = -29

This is the simplified answer.

Drag each figure to show what fraction is shaded.

Answers

I think this is right.

3. The high school students who attend Springfield Women's Academy are eligible to tryout for various teams within the athletic department. Students are 74% likely to tryout for softball; 27% likely to tryout for volleyball; 42% likely to tryout for tennis; and 88% likely to tryout for swimming. Many students choose to tryout for multiple teams. Students have equal probabilities of being freshmen, sophomores, juniors, or seniors. What is the probability of the union of trying out for either volleyball or swimming?

a. 1. 15

b. 0. 61

c. 0. 91

d. 0. 24

Answers

The probability of the union of high school students of trying out for either volleyball or swimming is 0.9. Option C is correct.

What is condition probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

The conditional probability is the happening of an event, when the probability of occurring of other event is given. The probability of event A, given that the event B is occurred.

Students of high school who attend Springfield Women's Academy are eligible to tryout for various teams within the athletic department. In this,

74% likely to tryout for softball; 27% likely to tryout for volleyball; 42% likely to tryout for tennis;  88% likely to tryout for swimming.

Let the tryout for volleyball is event A and tryout for swimming is event B. Thus,

P(A)=0.27

P(B)=0.88

Many students choose to tryout for multiple teams. Students have equal probabilities of being freshmen, sophomores, juniors, or seniors.

Thus, probability of the union of trying out for either volleyball or swimming

P(A or B)=P(A)+P(B)-P(A and B)

P(A or B)=0.27+0.88-P(A)*P(B)

P(A or B)=0.27+0.88-0.27×0.88

P(A or B)=0.9

Hence, the probability of the union of high school students of trying out for either volleyball or swimming is 0.9. Option C is correct.

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How to calculate E=mc²

I will give BRAINIEST for whoever has the best solution .
Thank You !!!​

Answers

E=mc² is the legendary equation of Albert Einstein .

In the formula

E=mc²

Here

E stands for energy emitted.

m stands for mass

c stands for speed of light

C is taken as 3×10^8 m/sm is taken in terms of KgE has units J or KJ

Answer:

Equation of Special Relativity

[tex]\large \text{$ E=mc^2 $}[/tex]

where:

E = energy (measured in Joules)m = mass (measured in kilograms)c = speed of light (a constant)  where  [tex]c \approx3 \times 10^{8} \sf \:\:ms^{-1}[/tex]

Albert Einstein's famous equation demonstrates the relationship between mass and energy.

It is vital when using this equation that all components are converted (where necessary) into the SI units given above.  Therefore, mass must be measured in kilograms and energy must be measured in Joules.

Joules is an SI measurement for energy and is measured as kilograms x meters squared per seconds squared →  [tex]\sf kg \times m^2s^{-2}[/tex]

The SI base units are the standard units of measurement defined by the International System of Units (SI).

What is the value of "c" in the following quadratic? (Make sure the equation is in
standard form: ax^2 + bx +c= 0)
X^2 +28 = -11x

Answers

               [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Given question:-}}}\rule{50}{1}[/tex]

           What is the value of c in the quadratic [tex]\large\text{$x^2+28=-11x$}[/tex]?

          [tex]\rule{50}{1}\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

           Before starting to solve, you should notice something - the

quadratic is not in its standard form!

We can easily fix it by adding [tex]\large\textit{11x}[/tex] on both sides:-

[tex]\large\text{$x^2+28-11x=0$}[/tex]

We can switch the order of 28 and -11x:-

[tex]\large\text{$x^2-11x+28=0$}[/tex]

  Now, the quadratic is in its standard form, so we can get down to

finding the value of "c".

Remember, the standard form of a quadratic looks like so:-

 [tex]\large\text{$ax^2+bx+c=0$}[/tex]

Now we can just write our quadratic here:-

[tex]\large\text{$x^2-11x+28=0$}[/tex]

Now, can you see what the value of "c" is?

An easy way to remember "c" in quadratics is:-

The "c" in quadratics is the constant.

   

Henceforth, we conclude that the value of "c" in the given quadratic is:-

 [tex]\Large\textbf{28}\Large\checkmark[/tex]

        Good luck with your studies.

        [tex]\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}[/tex]    

If the scale factor is 1 do I divide or multiply?

Answers

Multiply

Scale factor is directly proportional to algebraic operations

If scale factor is 1/2 then you have to divideIf scale factor is +3 or -3 you have to add and subtract respectively

As it's 1 only you have to multiply

HELP ME PLEASE In a given diagram below, ray AB bisects angle FAE. BF = 2x + 8 and BE = 42.


A. Set up an equation to solve for "x".


B. Show your work and solve for "x".

Answers

When two straight lines or rays intersect at a shared endpoint, an angle is generated. The value of x is 17.

What is an angle?

When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."

Since the ray AB bisects, the ∠FAE. Therefore, the measure of ∠FAB and ∠EAB will be equal. As these two angles are equal, the length of line BF and BE will be equal.

BF = BE

2x+8=42

2x=42-8

2x=34

x = 17

Hence, the value of x is 17.

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If (1,2), and ( - 20,9) are two solutions of f(x) = mx
b. find m and b.

Answers

The function f(x) = mx + b is a linear function, and the values of m and b are -1/3 and 7/3, respectively

How to determine the values of m and b?

The function is given as:

f(x) = mx + b

The solutions are (1,2) and (-20,9)

The above points mean that:

1 * m + b = 2

-20 * m + b = 9

This gives

m + b = 2

-20m + b = 9

Subtract both equations

m + 20m = 2 - 9

Evaluate the difference and sum

21m = -7

Divide both sides by 21

m = -1/3

Substitute m = -1/3 in m + b = 2

-1/3 + b = 2

Add 1/3 to both sides

b = 2 + 1/3

Evaluate

b = 7/3

Hence, the values of m and b are -1/3 and 7/3, respectively

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Please help 100 points!!

Answers

Answer:

Looking at the first question, it's asking what best describes the probability of tossing a number less than 6 on a number cube that has 6 numbers.  Impossible means that it will never land on it, for example asking what the probability of landing on 7 is.  Unlikely is something that doesn't happen often.  The best option that fits our scenario is option C, likely.

Looking at the second question, it's asking what the probability that the teacher chooses a girl in his class.  There are 15 girls and a total of 27 students in the class so we take the probability by doing 15/27.  We can narrow both the numerator and the denominator using 3 which gives us 5/9.  Therefore, the best option that fits our scenario is option C, 5/9.

Finally, looking at the last question, it's asking what the theoretical probability that the coin will land on heads on the next toss.  Theoretical probability doesn't consider how much times Murray tossed the coin, the only thing it cares about is what the actual probability of tossing a coin is.  Therefore that makes it a 50% chance of landing on a heads and a 50% chance of landing on a tails.  The best option that first our scenario is option B, 1/2.

Hope this helps!  Let me know if you have any questions

Which describes the probability of tossing a number less than 6 on a number cube with faces labeled 1-6?

Answer:

[C] Likely

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

There are 12 boys and 15 girls in Mr. Fraioli's math class. He will randomly call on one person to answer the problem of the day. What is the probability that he will choose a girl.

Answer:

[C] 5/9

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

Murray has tossed a coin 120 times.The coin landed on heads 54 times. What is the theoretical probability that the coin will land on heads on the next toss?

Answer:

[B] 1/2

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

Step-by-step explanation:

Note:

Impossible ⇒ 0%

Unlikely ⇒ 25%

Equally likely as not ⇒ 50%

Likely ⇒ 75%

Certain ⇒ 100%

Which describes the probability of tossing a number less than 6 on a number cube with faces labeled 1-6?

Knowing that a number less than 6 can be:

1,2,3,4,5

Hence, 5/6 which is 0.83333333333 which is likely

Thus, the answer is [C] Likely

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

There are 12 boys and 15 girls in Mr. Fraioli's math class. He will randomly call on one person to answer the problem of the day. What is the probability that he will choose a girl.

Total number of people is 12+15 = 27

15 out of 27 are girls thus, 15/27

Simplify

5/9

Hence, the answer is [C] 5/9

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

Murray has tossed a coin 120 times.The coin landed on heads 54 times. What is the theoretical probability that the coin will land on heads on the next toss?

Since, the total number of tossed is 120 times

handed on heads - 54 times.

  Theoretical probability is what should happen.

 Experiment probability is what happen

Knowing that a coin has 2 sides:

Heads and Tails.

Hence, that makes it a 50% chance of landing on a heads and a 50% chance of landing on a tails.

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

For more information:

https://brainly.com/question/12726162

https://brainly.com/question/430568

https://brainly.com/question/4152354

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

Kavinsky

HELP I WILL GIVE BRAINLIEST

Answers

Step-by-step explanation:

4√2 . √2

= 4 * 2

= 8

3√7 - 2√7

= √7 ( 3 - 2 )

= √7 ( 1 )

= √7

√7 / 2√7 = 1 / 2

2√5 . 2√5

= 2 * 2 . √5 *√5

= 4 * 5

= 20

A gardener wants to fence in her plot in two equal rectangular sections. If she has 54 yards of fence and the area of the entire plot is 108 square yards, find the possible dimensions of the garden.

Answers

Considering the perimeter and the area of the rectangle, the possible dimensions are of 22.11 yards and 4.89 yards.

What are the area and the perimeter of a rectangle?

Considering a perimeter of length l and width w, we have that:

The area is lw.The perimeter is 2(l + w).

In this problem, considering the amount of fencing as the perimeter, and the area, we have that:

2(l + w) = 54 -> l + w = 27 -> w = 27 - l.lw = 108.

Then:

l(27 - l) = 108

l² - 27l + 108 = 0.

Which is a quadratic equation with coefficients a = 1, b = -27, c = 108, then:

[tex]\Delta = b^2 - 4ac = (-27)^2 - 4(1)(108) = 297[/tex]

[tex]x_1 = \frac{27 + \sqrt{297}}{2} = 22.11[/tex]

[tex]x_2 = \frac{27 - \sqrt{297}}{2} = 4.89[/tex]

Then, the possible dimensions are of 22.11 yards and 4.89 yards.

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Which equation shows the same relationship as 72 x 1/8 = 9?

Answers

Hey there!

72 * 1/8 = 9

= 72/1 * 1/8

= 72(1) / 1(8)

= 72 / 8

= 72 ÷ 8

= 9


Thus, the answer could either be:

• 72/1 * 1/8

• 72 / 8

OR

• 72(1) / 1(8) (hence how we possibly received answer number 2)


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)


Jerome spent $80 on a meal and he left a 15% tip. How much was the
tip that Jerome left?

Answers

Answer:

12

Step-by-step explanation:

If you multiply .15 times 80, you get 12. therefore the tip was 12 dollars

A. (1, –4); minimum

B. (0, –3); minimum

C. (–1, 0); minimum

D. (1, –4); maximum

Answers

Answer: The correct answer is A.

Step-by-step explanation: The graph cannot have a maximum, as the quadratic function goes on forever upwards. However, it can have a minimum, and the lowest point on the quadratic function is (1, -4).

Answer: A, have a good day

Y=2x +1 what is y increased by if x is increased by 5

Answers

Answer:

10

Step-by-step explanation:

When X increases by 5, 2X increases by 10 while the 1 keep no change

So y increases by 10

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