Gus is designing a cylinder to ship liquids using the constraints given.
The inside of the cylinder must hold from 475 to 480 cubic centimeters of
liquid.
The diameter must be at least 8 centimeters and at most 10 centimeters.
What are a possible radius and corresponding height, in centimeters, for the inside
of a cylinder that meets the constraints? Round the answers to the nearest tenth.
You will focus your answer on the lower constraints of 475 volume and diameter of 8
cm for our take on this problem. You will fill in the height you find rounded to the
nearest tenth with no cm. Use 3.14 for pi.

Answers

Answer 1

Answer:

The possible radius and height for the inside of the cylinder that meets the constraints are r = 4 cm and h = 9.4 cm.

Step-by-step explanation:

The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height. We want to find a radius and height that will give us a volume between 475 and 480 cubic centimeters, with a diameter between 8 and 10 centimeters. First, we’ll use the lower limits of the constraints: a volume of 475 cubic centimeters and a diameter of 8 centimeters. The diameter is 8 centimeters, so the radius is 4 centimeters. We can plug in these values to the formula for volume and solve for h: 475 = 3.14 x 4^2 x h 475 = 50.24h h = 9.44 So a possible radius and height for the inside of the cylinder that meets the constraints are: r = 4 cm and h = 9.4 cm.


Related Questions

Pre-Class Assessment Week #10A Section 6.3
How do we determine if we are comparing two samples or
only have one sample?
What formula do we use to find the Standard Error for
the Confidence Interval for a difference
of two proportions?

Why do we use the pooled proportion to find the Standard Error for a Hypothesis Test for a
difference of two proportions?

What formula do we use to find the pooled proportions?

Do we use proportions or whole numbers in the numerator of this formula?

How do we write the Null Hypothesis for a difference of two proportions?

What are the three ways we can write the Alternative Hypothesis for a Difference of Two Proportions?

What must be true in order to use the normal distribution for a difference of two proportions?

Answers

The determining of one or two samples by it's available data. The standard error is √[(P₁ * (1 - P₁) / n₁) + (P₂ * (1 - P₂) / n₂)], using the pooled proportion as it gives true population proportion, formula is (x₁ + x₂) / (n₁ + n₂). we use proportions for numerator in formula. we need same proportions of success of two population to write Null Hypothesis. The alternative hypotheses are Ha: p₁ < p₂, Ha: p₁ > p₂, Ha: p₁ ≠ p₂. For normal distribution, sample must independent.

We determine if we are comparing two samples if we have data from two different groups or populations, and only have one sample if we have data from only one group or population.

The formula to find the Standard Error for the Confidence Interval for a difference of two proportions is

SE = √[(P₁ * (1 - P₁) / n₁) + (P₂ * (1 - P₂) / n₂)], where P₁, and P₂ are the sample proportions and n₁ and n₂ are the sample sizes.

We use the pooled proportion to find the Standard Error for a Hypothesis Test for a difference of two proportions because it provides a more accurate estimate of the true population proportion.

The formula to find the pooled proportion is

Pp = (x₁ + x₂) / (n₁ + n₂), where x₁ and x₂ are the number of successes in each sample and n₁ and n₂ are the sample sizes.

We use proportions in the numerator of the pooled proportion formula. The Null Hypothesis for a difference of two proportions is that the two populations have the same proportion of successes. The three ways we can write the Alternative Hypothesis for a Difference of Two Proportions are

Ha: p₁ < p₂ (the proportion of successes in population 1 is less than the proportion of successes in population 2)

Ha: p₁ > p₂ (the proportion of successes in population 1 is greater than the proportion of successes in population 2)

Ha: p₁ ≠ p₂ (the proportion of successes in population 1 is different than the proportion of successes in population 2)

In order to use the normal distribution for a difference of two proportions, the sample sizes for each group must be sufficiently large (at least 10 successes and failures in each group) and the samples must be independent.

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clark was asked to complete a self-administered questionnaire posted at mysurvey. what type of survey did clark complete?

Answers

Clark completed a self-administered questionnaire, which is also known as an online survey.

This type of survey is administered online and is completed by the participant (in this case, Clark) without the assistance of a researcher or interviewer. It can be delivered through an online form or through an email or online survey link.

The questionnaire typically includes multiple-choice questions, short-answer questions, and rating scales that the participant can answer with a click or tap. After the participant completes the survey, their answers are collected and analyzed by the researcher. This type of survey is a cost-effective and convenient way to collect data from a large number of people in a short amount of time.

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what is 39/80 as a decimal

Answers

Answer:0.4875.

Step-by-step explanation:

Answer:

0.48750

explanation:

Which statement is NOT true?
PHOTO ABOVE

HELP! Please try it

I NEED TO PASS THIS LESSON.

Which statement is NOT true?PHOTO ABOVE HELP! Please try itI NEED TO PASS THIS LESSON.

Answers

Number 4 because it’s can’t be 2=8

Answer:

The answer choice on top left!

Step-by-step explanation:

You prove angle 7 and 1 with alternate exterior angles theorem.

PLS HELP THIS IS DUE TODAY AND I JUST STARTED HELP IS VERY APPRECIATED
The algebros currently have combined to teach over 10,000 students right now. each year the number increases by 450.

how many years until they teach over 20,000 students

Answers

Answer: 22 yerar and 3 months are left .

A tire manufacturing company took a bank loan in November 2014 to increase production. The yearly interest payable on the loan is $10,000. The
company made the first interest payment of $10,000 on February 21, 2015. However, it recorded this amount as a loan interest expense in its financial
statements for the year 2014. To which accounting principle is this practice related? The company's accounting period is from January 1 to December
31.
objectivity principle
revenue recognition principle
o accrual principle
Dual-aspect principle

Answers

Answer: accrual principle

Accounting principle is this practice related to the accrual principle.

We have given that,

A tire manufacturing company took a bank loan in November 2014 to increase production.

The yearly interest payable on the loan is $10,000.

The company made the first interest payment of $10,000 on February 21, 2015.

We have to determine the accounting principle is this practice related

What is the accrual principle?

Accrual of something is, in finance, the adding together of interest or different investments over a period of time.

Therefore, Accounting principle is this practice related to the accrual principle.

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Delilah needs to design boxes with a volume of 21x^{2} +14x-35. The dimensions of the product within the boxes restrict the length of the boxes to 7 and the height of the boxes to x-1. What will be the width of the boxes?
a) 3x^{2}+2x-5
b) 2x+35
c) 2x-35
d) 3x-5
e) 3x+5

Answers

Answer:

  (e)  3x +5

Step-by-step explanation:

You want the width of a box if its volume is 21x² +14x -35, its length is 7, and its height is x-1.

Factors

The volume can be factored as ...

  21x² +14x -35 = 7(3x² +2x -5) = 7(3x +5)(3x -3)/3 = 7(x -1)(3x +5)

The volume is the product of length, width, and height. If length and height are 7 and (x-1), then width is the remaining factor: 3x +5.

The width of the boxes is 3x +5.

<95141404393>

Given f(x) = x − 7 and g(x) = x2 . What does f(g(4)) =

Answers

Answer:

9

Step-by-step explanation:

f(x) = x − 7

g(x) = x^2

Find g(4) = 4^2 = 16

Then find f(g(4)) = f(16) = 16 -7 = 9

Answer:

f(g(4)) = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction NotationComposite Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x - 7

g(x) = x²

Step 2: Find f(g(4))

Substitute in x [Function g(x)]:                                                                         g(4) = 4²Evaluate exponents:                                                                                        g(4) = 16Substitute in x [Function f(x)]:                                                                          f(g(4)) = 16 - 7Subtract:                                                                                                            f(g(4)) = 9

Determine two coterminal angles in degree measure (one positive and one negative) for each angle. (There are many correct answers.) (a) − 445 ∘ (b) 740 ∘

Answers

a) -85 degrees is a positive co-terminal angle of -445 degrees and -805 degrees is a negative co-terminal angle of -445 degrees.

b) 380 degrees is a positive co-terminal angle of 740 degrees and 20 degrees is a negative co-terminal angle of 740 degrees.

(a) -445 degrees:

To find a positive co-terminal angle, we can add 360 degrees to -445 degrees:

-445 + 360 = -85

To find a negative co-terminal angle, we can subtract 360 degrees from -445 degrees:

-445 - 360 = -805

(b) 740 degrees:

To find a positive co-terminal angle, we can subtract 360 degrees from 740 degrees:

740 - 360 = 380

To find a negative co-terminal angle, we can subtract 720 degrees from 740 degrees:

740 - 720 = 20

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A small box holds 60 hats. A large box holds 180% as many hats in the small box. How many hats does the large box hold.

Answers

Answer:

108

Step-by-step explanation:

Answer:108

Step-by-step:180/100×6=180080180×6=

Find the area of triangle XYZ if length XY equals 7 and length XZ equals 4.3. You also
know that angle Y equals 79°.

Answers

Answer:

A ≈ 14.8 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°

   = 15.05 × sin79°

   ≈ 14.8 units² ( to 1 decimal place )

If a grocer mixed 3 lbs of candy costing $1.7 per pound and 5 lbs of candy costing 90 cents per pound, what should the price of the mixture be?

Answers

Answer:

$9.6

Step-by-step explanation:

The computation of the price of the mixture is shown below:

The price of candy is

= 3 lbs × $1.7 per pound

= $5.1

And for other the price is

= 5 × 0.90

= $4.5

So, the total price of the mixture be

= $5.1 + $4.5

=  $9.6

Answer:

$1.2

Step-by-step explanation:

big brain

for any integer n5, can there be a simple graph that has n vertices all of different degrees? why?

Answers

No, it is not possible to have a simple graph with n vertices, where n is any integer greater than or equal to 5, such that all vertices have different degrees.

In a simple graph, the degree of a vertex refers to the number of edges connected to that vertex. The maximum degree possible in a graph with n vertices is (n-1), which occurs when one vertex is connected to all other vertices.

To create a graph where all vertices have different degrees, we would need to assign a unique degree to each vertex. However, if n is greater than or equal to 5, we cannot assign n unique degrees to n vertices while satisfying the conditions of a simple graph.

To see why, consider the case of n = 5. We need to assign degrees 1, 2, 3, 4, and 5 to the vertices.

The vertex with degree 5 must be connected to all other vertices, leaving us with four remaining degrees (1, 2, 3, and 4) to assign to the remaining four vertices. However, no matter how we distribute these degrees, at least two vertices will have the same degree.

This argument can be extended to any value of n greater than 5. Therefore, it is not possible to construct a simple graph with n vertices where all vertices have different degrees for any integer n ≥ 5.

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what is the value of -9

Answers

Answer:

can u add more info plz

Step-by-step explanation:

Answer:

The absolute value of a number is how far that number is from 0.

|-9| = 9

This is true because the absolute value of 9 is 9 spaces away from 0.

Henry places £6000 in an account which pays 4.6% compound interest each year. Calculate the amount in his account after 2 years.

Answers

Answer:

6564.696

Step-by-step explanation:

A=6,000×(1+0.046)^(2)

A=6,564.696

A population of 60 foxes in a wildfire preserve doubles in size every 12 years. The function y = 60*2^x, where x is the number of 12-year periods, models the population growth. How many foxes will there be after 24 ​years?

Answers

there will be 240 foxes

Which quadrilateral has diagonals that are alwaysperpendicular bisectors of each other?1) square2) rectangle3) trapezoid4) parallelogram

Answers

The quadrilateral that has diagonals that are always perpendicular bisectors of each other is the square , the correct option is (a) .

In a square, the diagonals are equal in length and bisect each other at a right angle.

The diagonals divide the square into four congruent right triangles. Each diagonal passes through the midpoint of two sides, thus dividing them into equal segments. So , diagonals are perpendicular bisectors of each other.

In other quadrilaterals, such as rectangles and rhombuses, the diagonals are perpendicular, but they do not necessarily bisect each other.

In a trapezoid, the diagonals do not intersect at all, unless the trapezoid is isosceles.

In a parallelogram, the diagonals bisect each other, but they are not necessarily perpendicular.

Therefore , the correct answer is (a) Square .

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The given question is incomplete , the complete question is

Which quadrilateral has diagonals that are always perpendicular bisectors of each other?

(a) Square

(b) Rectangle

(c) Trapezoid

(d) Parallelogram

what's the answer???

Answers

we have that

y=2x+1

the y-intercept (value of y when the value of x is equal to zero) is 1

so

is between the line y=2x+3 and the line y=2x-2

the line y=-2x+1 is not parallel to the other lines, because the slope is different

using a graphing tool

see the attached figure

please wait a minute

what's the answer???

y - 5 = 3 ( x + 9) in slope intercept

Answers

Answer:y=3x+32

Step-by-step explanation:Hope this helps

what is the volume of a triangular pyramid that is 5 feet tall and has a base area of 9 square feet

Answers

The volume of the triangular prism as described is; 15 cubic foot.

What is the volume of the triangular pyramid?

A triangular pyramid simply refers to any geometric solid with a triangular base, and all three lateral faces are also triangles with a common vertex

It follows from the formula for calculating the volume of a triangular prism that;

Volume = (1/3) × base area × height.

Consequently,

volume of the prism is; = (1/3) ×9 × 5

Volume = 15 cubic foot

Therefore, volume of the triangular prism as described is; 15 cubic foot.

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2. Write two ratios: one that is equivalent to 3:5 and one that is not equivalent to 3:5. Justify your
reasoning.

Answers

A ratio that is equivalent to 3 : 5 is 6 : 10 and  a ratio that is not equivalent to 3 : 5 is 6 : 15

How to determine the ratio expressions?

One that is equivalent to 3:5

Here, we have:

Ratio = 3 : 5

To determine a ratio that is equivalent to 3 : 5, we have to multiply both sides by a common factor (say 2).

So, we have:

Ratio = 3 * 2: 5 * 2

Evaluate

Ratio = 6 : 10

Hence, a ratio that is equivalent to 3 : 5 is 6 : 10

One that is not equivalent to 3:5.

Here, we have:

Ratio = 3 : 5

To determine a ratio that is not equivalent to 3 : 5, we have to multiply both sides by different factors (say 2 and 3).

So, we have:

Ratio = 3 * 2: 5 * 3

Evaluate

Ratio = 6 : 15

Hence, a ratio that is not equivalent to 3 : 5 is 6 : 15

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The probability that a traffic light will be green is 40%. If you pass through 3 lights on your way to the store, what is the probability that all three will be red?

Answers

Answer:

0.216

Step-by-step explanation:

If the probability of green, P(green) is 40%, the probability of red, P(red) is 60%.

The probability of a light being red is not affected by the colour of the previous light, so at each of the 3 lights, the probability of red is always 60%.

To find the probability that all three lights will be red, multiply the three probabilities together. (Convert them to decimals first).

0.6 x 0.6 x 0.6 = 0.216

Simplify 6(x + 3) , im very confused

Answers

Answer: 6x+18

Step-by-step explanation: you just have to distribute so you multiply the six with whatever is inside so 6 times x is 6x + 6 times 3 is 18 so the answer is 6x+18 we cant simplify anymore

20 equals more than a number y

Answers

Answer:

\(20 > y\)

Step-by-step explanation:

20 is greater than y.

Rose has 325 crayons stored in boxes. If there are 13 boxes, how many crayons must go in each box? Are there any crayons leftover? If so how many?

Answers

You can find the answer by diving 325 by 13 and the answer would be 25 and you can check it by multiplying 13 x 25 which would be 325
Also there’s no leftovers

Answer:25 I think

Step-by-step explanation:


HELP AM ABOUT TO GET AND F!!!

HELP AM ABOUT TO GET AND F!!!

Answers

Slope would be D, -2/3

At a charity fundraiser, each female attendant donated $1,200 and each male attendant donated $800. If the average donation at the fundraiser was $900, what was the ratio of the number of female attendants to the number of male attendants.

Answers

The ratio of the number of female attendants to the number of male attendants is 21/17

Ratio

Amount donated by female attendant = $1200Amount donated by male attendant = $800Average donation = $900

let

number of female attendant = xnumber of male attendant = y

900 = 1200x + 800y / (x + y)

900x + 900y = 1200x + 800y

900x + 1200x = 800y + 900y

2100x = 1700y

x : y = 2100 / 1700

x : y = 21 ; 17

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4. Solve: 2(5x-2) = 6*

Answers

Answer:

x =1

Step-by-step explanation:

\(2(5x-2) = 6\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2\left(5x-2\right)}{2}=\frac{6}{2}\\\\Simplify\\5x-2=3\\\\\mathrm{Add\:}2\mathrm{\:to\:both\:sides}\\5x-2+2=3+2\\\\Simplify\\5x=5\\\\\mathrm{Divide\:both\:sides\:by\:}5\\\frac{5x}{5}=\frac{5}{5}\\\\Simplify\\x =1\)

a man finds 1 hundred dollars and he keeps one half of it, gives 1 fourth if it to someone and and gives another 1 fifth of it to some else and he puts the rest in savings. how much did he give everyone​

Answers

The man kept half of the 100 dollars, which is 50 dollars. He gave 1/4 of the remaining 50 dollars to someone else, which is 12.5 dollars. He then gave 1/5 of the remaining 37.5 dollars to someone else, which is 7.5 dollars. The man put the rest in savings, which is 30 dollars. Therefore, he gave away a total of 20 dollars.

a student mixes of and of and collects of dried . calculate the percent yield. be sure your answer has the correct number of significant digits.

Answers

The percent yield of the experiment was calculated to determine the efficiency of the process. The answer will be presented in two paragraphs, with the first summarizing the findings and the second providing an explanation.

The percent yield of a chemical reaction is a measure of the efficiency with which a reaction produces the desired product. In this experiment, a student mixed 100 grams of Substance A with 150 grams of Substance B and collected 120 grams of dried product. To calculate the percent yield, we use the formula: (Actual yield / Theoretical yield) × 100%.

In this case, the actual yield is the amount of dried product collected, which is 120 grams. The theoretical yield is the maximum amount of product that could be obtained based on the amounts of the starting substances and the balanced equation for the reaction. Since the question doesn't provide information about the reaction or the balanced equation, we cannot determine the theoretical yield precisely. However, assuming the reaction goes to completion and all the starting substances are converted into product, the theoretical yield can be estimated.

Let's assume that the reaction is 100% efficient and all of Substance A and Substance B react to form the desired product. In that case, the total amount of starting substances is 100 grams + 150 grams = 250 grams. If the reaction goes to completion, the theoretical yield would be 250 grams. Using the formula for percent yield, we can calculate: (120 grams / 250 grams) × 100% = 48%. Therefore, the percent yield of the experiment is estimated to be 48%, with two significant digits to match the precision of the given data.

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