A sports company wants to package a ball with a 1.5-inch radius in sets of two. They have two options: a cylinder or a square prism.The company wants to use the package that has the least amount of wasted space. The company should choose

Answers

Answer 1

Answer:

The Company should choose to get the cylinder packages  ( V = 42.39 in³ )

Step-by-step explanation:

The volume of a cylinder of radius of circumference 1.5 in  and h = 1.5*4

h  =  6 in   is:

V(c)  =  π *r²*h   =  π * (1.5)²*6   =   π *2.25*6

V(c)  = 42.39 in³

Now V(p) =  Square of the base ( of side 3 in) * h

h  =  6 in

V(p)  =  (3)²*6

V(p)  =  54 in³

If we compare these two volumes we see that the volume of the cylinder is small than that of the square prism


Related Questions

Which equation is correct?
a) cos G = 15/17
b) cos G = 8/15
c) sin G = 15/17
d) sin G = 8/15​

Answers

The answer is c which is sinG=15/17 :(

Which is the equation of a line that has a slope of 3 and passes through point
(-3,-1)2
A. y=-3x+1
B. y--3x+3
C. y = 2 x -
D. y-22 8x-3

Answers

Answer:

y = -2/3x - 3

Step-by-step explanation:

y = -2/3x + b

-1 = -2/3(-3) + b

-1 = 2 + b

-3 = b

y = -2/3x - 3

What is the length of the missing side of the triangle? The figure is not drawn to scale.
15
9
08
06
O 24
O 12

Answers

Answer:

Step-by-step explanation:

add all the numbers together to get your answer and divide it by two.

Answer:

Hello! answer: 12

Step-by-step explanation:

Assuming this is the Pythagorean theorem we would usually solve for c but c is already found so we have to work backwards so... 15 × 15 = 225

9 × 9 = 81 225 - 81 = 144 √144 = 12 therefore 12 is the answer Hope that helps!

Find the volume of the cylinder


Either enter an exact answer in terms of pie or use 3.14 for pie.

Please help me any help will be appreciated thank you!

Answers

Answer:

500π m^3

Step-by-step explanation:

The question is not complete

Cylinders are described with dimensions as

Diameter and Height

Say the diameter is

D= 10m

and Height is

H=20

Hence the radius is

R= D/2= 10/2= 5 m

Therefore the volume is gotten as

V= πr^2h

V= π*5^2* 20

V=  π*25*20

V= 500π m^3

Hence the volume is  500π m^3

list some things I could spend a million dollars on.. doing a math worksheet and I can’t think of things.. help!

Answers

Answer:

A car, college, and house, bills. and Airplane? would those work?

Step-by-step explanation:

A car, a plane, a boat, a house.

What inverse operation is used to solve the equation?

2x=10


Addition Property: add 2 to both sides


Division Property: divide both sides by 2


Multiplication Property: multiply both sides by 2


Subtraction Property: subtract 2 from both sides

Answers

Answer:

Division Property: divide both sides by 2

Step-by-step explanation:

[tex]2x = 10[/tex]

[tex] \frac{2x}{2} = \frac{10}{2} [/tex][tex]x = \frac{10}{2} [/tex]

[tex]x = 5[/tex]

Hope it is helpful....
i’m pretty sure the answer is x=5

if r 1 and 0 = 7pi/6 what is the approximate arc length

Answers

Arc length = (r)(0)
= (1)(7pi/6)
= 3.7 unit
3.7 should be your answer hope this helps

The curve
[tex]y = \sqrt{x - 3} [/tex]
has a tangent with gradient
[tex] \frac{1}{2} [/tex]
at point N.
Find the coordinates of N.​

Answers

Answer:

Point N(4, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Coordinates (x, y)FunctionsFunction NotationTerms/CoefficientsAnything to the 0th power is 1Exponential Rule [Rewrite]:                                                                              [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex] Exponential Rule [Root Rewrite]:                                                                     [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle y = \sqrt{x - 3}[/tex]

[tex]\displaystyle y' = \frac{1}{2}[/tex]

Step 2: Differentiate

[Function] Rewrite [Exponential Rule - Root Rewrite]:                                   [tex]\displaystyle y = (x - 3)^{\frac{1}{2}}[/tex]Chain Rule:                                                                                                        [tex]\displaystyle y' = \frac{d}{dx}[(x - 3)^{\frac{1}{2}}] \cdot \frac{d}{dx}[x - 3][/tex]Basic Power Rule:                                                                                             [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{\frac{1}{2} - 1} \cdot (1 \cdot x^{1 - 1} - 0)[/tex]Simplify:                                                                                                             [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}} \cdot 1[/tex]Multiply:                                                                                                             [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}}[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]:                                          [tex]\displaystyle y' = \frac{1}{2(x - 3)^{\frac{1}{2}}}[/tex][Derivative] Rewrite [Exponential Rule - Root Rewrite]:                                 [tex]\displaystyle y' = \frac{1}{2\sqrt{x - 3}}[/tex]

Step 3: Solve

Find coordinates

x-coordinate

Substitute in y' [Derivative]:                                                                             [tex]\displaystyle \frac{1}{2} = \frac{1}{2\sqrt{x - 3}}[/tex][Multiplication Property of Equality] Multiply 2 on both sides:                      [tex]\displaystyle 1 = \frac{1}{\sqrt{x - 3}}[/tex][Multiplication Property of Equality] Multiply √(x - 3) on both sides:            [tex]\displaystyle \sqrt{x - 3} = 1[/tex][Equality Property] Square both sides:                                                           [tex]\displaystyle x - 3 = 1[/tex][Addition Property of Equality] Add 3 on both sides:                                    [tex]\displaystyle x = 4[/tex]

y-coordinate

Substitute in x [Function]:                                                                                [tex]\displaystyle y = \sqrt{4 - 3}[/tex][√Radical] Subtract:                                                                                          [tex]\displaystyle y = \sqrt{1}[/tex][√Radical] Evaluate:                                                                                         [tex]\displaystyle y = 1[/tex]

∴ Coordinates of Point N is (4, 1).

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

If 4 cups of milk is required to make 20 pancakes, how much milk will 30 pancakes require?

Answers

Hope this help!!!!!!! :)

Quantity of flour needed to make 20 pancakes =

Then , number of pancakes that can be made from 1 cup of floor :-

.

Therefore , 12 pancakes can be made from 1 cup of floor .

Solution (b) :-

Number of pancakes that can be made with 1 cup of flour = 12 pancakes

Number of pancakes that can be made with 9 cups of flour :-

= 9 × 12

= 108 pancakes

Therefore , I can make 108 pancakes with 9 cups of flour .

Solution (c) :-

Yes , I have enough flour to make 100 pancakes . I say this because :-

With one cup of flour I can make = 12 pancakes

With 9 cups of flour I can make =

= 9 × 12

= 108 pancakes

As I can make 108 pancakes with 9 cups of flour , I can conclude that I have enough flour to make 100 pancakes .

Step-by-step explanation:

Which would it be please?Help if you can.

Answers

Answer:

B

Step-by-step explanation:

Area = length times width, in this case, both length and width is x.

While 5 and 2 are the lengths and widths for the unshaded part.

x^2 = whole square

x^2 - (5)(2) = area of shaded region

Jamal's friends toss 12 balls to him at the same time. Three balls are red, 3 are green, 3 are blue, and 3 are white. Jamal manages to catch 5 of the balls.

What is the probability that he catches 2 red balls and 1 ball of each of the other colors?

Answers

Answer:

81/792 or 9/88 or 10.2%

Step-by-step explanation:

Possibility: nCr(12,5) = 792
Red: nCr(3,2) = 3
Blue, Green, White: nCr(3,1) = 3

3 * 3 * 3 * 3 = 81

81/792 simplified is 9/88 percentage is 10.22%

The probability that Jamal will catch 2 red balls and 1 ball of each of the other colors is 0.1025.

What is probability?

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lies in the close interval of 0 and 1 [0,1].

The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.

The total numbers of balls are 12.

Each color has 3 balls.

If total 12 balls are tossed, the number of ways of catching 5 of them is,

¹²C₅ = 792

The number of ways of catching 2 red balls out of 3 is ³C₂ = 3

The number of ways of catching 1 green ball out of 3 is ³C₁ = 3

The number of ways of catching 1 blue ball out of 3 is ³C₁ = 3

The number of ways of catching 1 white ball out of 3 is ³C₁ = 3

Thus, the probability as per the question is given as follows,

(3 × 3 × 3 × 3)/792

= 81/792

= 0.1025

Hence, the probability of catching 2 red balls and 1 ball of each of the other colors is 0.1025.

To know more about probability click on,

https://brainly.com/question/11234923

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Callie wrote this number to show the change in volume of a water cooler after practice. -9/10
What’s equivalent to what Callie wrote

Answers

B) -9/10

ONLY one value must have the negative sign, otherwise it will be a positive value

The correct option is option B that is [tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume.

What is a fraction ?

A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.

It is given that Callie wrote a number to show the change in volume of a water cooler after practice which is :

= [tex]\frac{-9}{10}[/tex]

Let's check from the given options which is the correct one.

A)

- [tex]\frac{9}{-10}[/tex]

if we multiply and divide by -1 then we find that the given fraction is equal to :

= [tex]\frac{9}{10}[/tex]

This is not equal to what Callie has written.

B)

[tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume. So , this is a correct option.

C)

[tex]\frac{-9}{-10}[/tex] will be equal to [tex]\frac{9}{10}[/tex]. This is because there is negative sign in both numerator and denominator of the fraction , and they will get cancelled. So, this option is not correct.

D)

[tex]\frac{9}{10}[/tex] is not equal to [tex]\frac{-9}{10}[/tex]. To equal both we need to multiply [tex]\frac{9}{10}[/tex] by -1. Thus this option is also not correct.

Therefore , the correct option is option B that is [tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume.

Learn more about fractions here :

https://brainly.com/question/17220365

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Find the median and mean of the data set below:
36,4,27,46,46

Answers

Answer:

The mean is

31.8

The median is 36

Which triangle makes this statement true?

Answers

Answer:

A.

Step-by-step explanation:

i pretty sure

Evaluate the expression when a = -4 and x=4.
4x-a

Answers

Answer: 20

Step-by-step explanation:  Substitute -4 in for a and 4 in for x.  Then, simplify.  

4(4) - (-4)

16 + 4

20

Hope this helped.  Please mark brainliest if correct!

Answer:

4(4)-(-4)

16+4

20

Step-by-step explanation:

When you put x is 4 in the first term u will get 16 and when you add two negatives u will get a positive, hence positive 4, that is 16+4

20

Find the measure of angle 1
HELP

Answers

Answer:

75°

Step-by-step explanation:

The chord- chord angle is half the sum of of the arcs intercepted by the angle and its vertical angle, then

∠ 1 = [tex]\frac{1}{2}[/tex] (110 + 40)° = 0.5 × 150° = 75°

PLEASE FILL IN THE BLANKS WITH THE CORRECT ANSWERS! THIS ASSIGNMENT IS GOING TO BE DUE IN 20 MINUTES. PLEASE BE A KIND PERSON AND HELP ME ANSWER THIS!

Answers

hi hello how are you i’m doing this quick

A plus charges $60 per hour and $80 as their 1 time fee

quality plumbing charges $50 an hour with $150 as the one time fee

false, a plus charges 380 and quality charges 400

hope this helps :)

Answer:a plus plumbing charges 60 for each hour of work plus a one time fee of 80 dollars

quality plumbing charges 50 for each hour of work plus one time fee of 150

t or f quality plumbing charges the least for 5 hours of work false

Step-by-step explanation:

I think this is correct, no time to explain if you need this answer fast

PLEASE HELP ME URGENT what is the correct answer to my question.

Answers

I'm fully sure but maybe you add 12+40

You are planning to build a walkway that surrounds the area of a rectangular garden. The width of the walkway around the
garden is the same on every side. Which of the following polynomials represents the total area of the garden and
walkway?

Answers

Answer:

B. (2x + 10)(2x + 9)

Step-by-step explanation:

Length (L) of the garden and walkway = x + 10 + x = (2x + 10) ft

Width (W) of the garden and walkway = x + 9 + x = (2x + 9)

Area of the garden and walkway = area of rectangle = L*W

= (2x + 10)(2x + 9)

The polynomial representing the total area of the garden and walkway = (2x + 10)(2x + 9)

A train travels a total of 67 km at a constant speed of 110 km/h.
How long is its journey? Give your answer in minutes and seconds, to the nearest second.

Answers

Answer:

36 m 32 s

Step-by-step explanation:

67 /110 = 0.609 hour

0.609 × 60 minutes = 36.54 minutes

36 minutes + 0.54×60 second

= 36 minutes 32 seconds

Answer:

36 mins 32 secs

Step-by-step explanation:


What is the value of 1,608 divided by 10 cubed

Answers

Answer:

16 2/25

Step-by-step explanation:

1608 / 10^2

1608/100

16 8/100

16 4/50

16 2/25

Answer:

1.608

Step-by-step explanation:

1608 ÷ 1000 = 1.608

Write the equation of this line from the table provided.

SOMEONE PLEASE HELP ASAP I WILL GIVE YOU BRAINLIEST!!!

Answers

Answer:

y=2x-1

Step-by-step explanation:

If you are supposed to write the equation in slope-intercept format, (y=mx+b), then y=2x-1 would be the answer. 2 is the slope(m), and -1 is the y-intercept(b). I hope thus helped :).

The square root 24 is between which two numbers on the number line
A)
1 and 2
B)
2 and 3
C)
3 and 4
D)
4 and 5

Answers

Answer:

Step-by-step explanation:

4²=16

5²=25

so √24 is between 4 and 5.

4 and 5. i need 20 letters so ignore this
yes

the difference between two numbers is 14. if 1/3 of the larger number is subtracted from the smaller number ,the result equals 1/10 of their sum. find both numbers

Step by step please

Answers

Answer:

Step-by-step explanation:

x-y=14

x-1/3y=1/10

-y=14-x

y=-14+x

take out the factors

x-10/30y=3/30

30x-10y=3

substitute

30x-10(-14+x)=3

30x+140-10x=3-140

20x/20=-137/20

x=-6.85

y=-14+(-6.85)

y=-20.85

The two numbers are 143/20 and 423/20.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, the difference between two numbers is 14.

Let the smaller number be x and the larger number be y.

Here, y-x=14 ------------(i)

If 1/3 of the larger number is subtracted from the smaller number ,the result equals 1/10.

1/3 of larger number is 1/3 y

x-y/3 =1/10 ------------(ii)

From equation (i), substitute y=14+x in equation (ii), we get

x-(14+x)/3 =1/10

10(3x-14-x)=3

30x-140-10=3

20x-140=3

20x=143

x=143/20

Substitute x=143/20 in equation (i), we get

y-143/20=14

y=14+143/20

y=(280+143)/20

y=423/20

Therefore, the two numbers are 143/20 and 423/20.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

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One of the flights was 350 miles and its residual was -

105.00. What was the fare for this flight?

Based on data taken from airline fares and distances

flown, it is determined that the equation of the least-

squares regression line is ý = 102.50 +0.65x, where

ý is the predicted fare and x is the distance, in miles.

O $102.50

O $435.00

O $225.00

O $330.00

Answers

Answer:

O $225.00

Step-by-step explanation:

Given that

The one of the flight was 350 miles

And, its residual is 105

The regression line is y = 102.50 + 0.65x

where

y denotes the expected fare

And, x denotes the distance

We need to find out the fair of the flight

So,

y = 102.50 + 0.65 (350)

= 330.00

Now the fare is

= 330 - 105

= 225

Answer:

(C) 225 Is correct.

Predicted cost - residual = answer

y= 102.50 + .65(35)

330 - 105 = 225

255

ED2021

help plssssss!!!!!!!

Answers

For the first question asking about the slope 3/4 and y intercept -2 would be (y=0.75x-2) because 3/4=0.75 and the y intercept -2 is b and you’re just placing it into the formula y=Mx+b m=slope b=y intercept.

How would you solve problems like this

Answers

man i need help on stuff like that too

Is knowing the coordinates of the vertex of a parabola enough to determine the domain and range? a. No: we would have no information about the domain. c. Yes: if the vertex is at (m,n), then the domain is all reals and the range is y ≤ n. b. No: we would need to know if the vertex is a minimum or a maximum. d. Yes: if the vertex is at (m,n), then the domain is all reals and the range is y ≥ n.

Answers

Answer:

The answer would have to be B

Step-by-step explanation:

explains itself

Answer:it’s B

Step-by-step explanation:

y= 4x + 2
y= 4x + 6
How many Solutions

Answers

The correct answer is no solutions because both equations are parallel and therefore do not intersect
So no solution

4/5 divided by 3/4
I need help please!! :)

Answers

4/5 / 3/4 = 0.8/0.75 ≈ 1.0666666667....

Answer:

1 1/5 in fraction form :))

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