Clare finds an expression for S(r) that gives the surface area in square inches of any cylindrical can with a specific fixed volume, in
terms of its radius r in centimeters. This is the graph Clare gets if she allows r to take on any value between 1.2 and 3.

Answers

Answer 1

The function that gives the surface area has the radius as a denominator.

The values r can take are; 0.1, 1, 2, and 3

Reasons:

The given parameter are;

The expression Clare finds is the surface area for a fixed volume in terms of the radius, r, is S(r)

The function is used to plot the graph

The values r are allowed to take (obtained from a similar question are) = -1, 2, and 3

The graph of a similar function representing the surface area is attached;

[tex]\displaystyle S(r) = \mathbf{2 \cdot \pi \cdot r^2 + \frac{2 \cdot \pi }{r}}[/tex]

From the graph, it is observed that there is a vertical asymptote at x = 0 (infinite discontinuity)

Therefore, Claire should use the a domain that gives a continuous graph,

given that r is a denominator of the function, by allowing the radius, r to

take on only natural number values (values larger than 0)

The domain is therefore; 0 < r < ∞

The values r can take should therefore be 0.1, 1, 2, and 3

Learn more about asymptotes here:

https://brainly.com/question/17257427

Clare Finds An Expression For S(r) That Gives The Surface Area In Square Inches Of Any Cylindrical Can

Related Questions

85/8 rounded to the nearest tenth

Answers

Answer:

85/8 = 10.625

= 10.6

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Find the distance between the points (



9.5,4.1) and (2.7,4.1).

Answers

Answer:

Step-by-step explanation:

Distance formula: [tex]d=\sqrt{(y_{2}-y_{1})^{2}+(x_{2}-x_{1})^{2}}[/tex]

[tex]d=\sqrt{(4.1-4.1)^{2}+(2.7-9.5)^{2}}=\sqrt{(-6.8)^{2}} = 6.8[/tex]  

Note that distance is always positive

help me with this question please!!ASAP

Answers

25 is the answer I got for it

help only answer if you know!!!!

Subtract.

18 7/12−9 4/12

8

8 1/3

9

9 1/4

Answers

Answer:

9 1/4

Step-by-step explanation:

I hope this helps! it should be correct

18 7/12 - 9 4/12
18-9= 9
9 3/12
9 3/12:3
9 1/4

Jenna has a cube with a volume of 5 cubic inches. If each dimension of the cube is tripled , what will be the volume of the enlarged cube?

Answers

[tex]\\ \sf\longmapsto V=5in^3[/tex]

[tex]\\ \sf\longmapsto side^3=5[/tex]

[tex]\\ \sf\longmapsto side=\sqrt[3]{5}[/tex]

[tex]\\ \sf\longmapsto side=2.2in[/tex]

Side gets tripled

New side=2.2(3)=6.6in

[tex]\\ \sf\longmapsto Volume=6.6^3[/tex]

[tex]\\ \sf\longmapsto Volume=287.4in^3[/tex]

Answer:

135 in³

Step-by-step explanation:

If the side of the cube is s and volume is 5 and you triple the side then:

V₁ = s³ = 5

The enlarged cube has the volume:

V₂ = (3s)³ = 3³*s³= 27s³ = 27*5 = 135 in³

A recipe requires 2/5 cup of sugar for 1 batch of brownies enter the number of batches of brownies that can be made using 3 1/5 cups of sugar

Answers

Answer:

8 batches

Step-by-step explanation:

You would have to divide 3 1/5 by 2/5, which gets you 8 batches of brownies.

La respuesta a un problema de división se llama

Answers

Answer:

Cociente: Español

Step-by-step explanation:

Quotient: English

b2 - 12a when a = 1/4 and b = 8

Answers

Answer:

13

Step-by-step explanation:

b2-12a

2(8)-12(1/4)

16-12/4

16-3

13

a population of bacteria is increasing at a rate of 7.5% per hour. if there were originally 275 bacteria, which of the following eguations models the population of bacteria h-hours after the original 275 bacteria were measured?

Answers

this is an exponential growth formula:

Total = start value x ( 1 + percent) ^ time

Population = 275(1.075)^h

During a job interview, you are asked to rate on a scale of 1 to 5 how happy you are. What type of test is the interviewer giving you

Answers

Answer:

Probably how much you want this job, if you say 0, than they are prob gonna assume you dont want to do this job, and you wont do your best. If you say 5, then you do want this job and your excited and youll give your all

Step-by-step explanation:

Questions regarding the level of excitement or happiness of one's self are called mental health or happiness test.

Happiness test are administered to evaluate personal feeling of excitement, hence, it cannot be taken on one's behalf as they are personified information.

Happiness test are usually structured as "How happy are you". Hence, they are direct and usually measured using an Ordinal scale.

Hence, the type of test on this context is Happiness test.

Learn more ::https://brainly.com/question/3565320

Which system of inequalities has no solution ? I’m not sure

Answers

I think the answer might be c

Simplify the following: ​

Answers

Answer:(5x+8)/[(x+4)(x-1)(x+3)]

Step-by-step explanation:

1. First factorize the quad expressions in the denomeneter of both fractions.

2. Then choose you arithmetic common denomeneter .

3. And the rest is child's play.

There are 2 answers if you need one :)

HELPP it’s angles of a triangle much appreciated !

Answers

Answer:

The coastline of alaska is longer than the entire coastline of the lower forty-eight states

Please help me, I struggle the most in this class and this is the last question

Answers

one three and four they all are the the same by not adding anymorw

PLS HELP
Identify the range and domain of the function y=ln(x6).

Answers

The domain is {x ∈ R : x ≠ 0} (where R is the set of all real numbers), since x⁶ is a non-negative number for all real numbers x.

The range is R or the interval (-∞, ∞).

Elimination Method: 6x - 4y = -24 and 4x + 5y = -2

Answers

Answer:

[tex](-2;-6)[/tex]

Step-by-step explanation:

First of all, let's rewrite the first one after dividing both sides by 2.

[tex]\left \{ {{3x-2y=-12\atop {4x+5y=-2}} \right.[/tex]

Now, let's pick one you want to eliminate.

Eliminating x: Let's multiply the first one by 4, the second by 3, and subtract one from the other. Rest is simply solving an equation in one variable

[tex]4I-3II : 12x-8y-12x+15y = -48 - (-6)\\7y = -42 \rightarrow y= -6[/tex]

Eliminating y: Let's multiply the first by 5, the second by 2, and add them together. Rest is simply solving an equation in one variable

[tex]5I+2II: 15x -10y +8x +10y = -60 +4\\23x = -56 \rightarrow x=-2[/tex]

Let z = 8 – 3i, and z2 = a + bi. What are the values of a and b?

Answers

The values of a and b from the given complex numbers is 8 and -3 respectively.

The standard form of representing complex number is expressed as z = x + iy

Given the complex numbers z = 8 – 3i, and z2 = a + bi

To get the values of a and b, we need to compare both expressions as shown:

For the real part;

a = 8

For the imaginary part:

-3i = bi

-3 = b

Swap

b = -3

Hence the values of a and b from the given complex numbers is 8 and -3 respectively.

Learn more about complex numbers here: https://brainly.com/question/12375854


Make m the subject of the formula L = m + n

Answers

The ANSWER is m = n - L

You have 2\3 of a pizza left from yesterday. You divide it into 4 equal pieces. What fraction of the pizza is each piece?​

Answers

Answer:  1/6

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

Explanation:

Let's say for example this pizza had 6 slices to start with. Two-thirds of this is (2/3)*12 = 4 slices. So you have 4 slices left over from yesterday. Then let's say you hand one slice to each of your four friends. Each friend would have 1/6 of the original pizza.

I need #2 done ASAP (Must show work) Will give brainliest

Answers

Answer:

Using the Vertical Angle Theorem,

if two angles are vertical, then they are congruent

therefore, ∡4=∡5 and ∡6=∡7

since ∡4≅∡7

then ∡5 must also be ≅ to ∡6

Step-by-step explanation:

Step-by-step explanation:

Statement                                        Reason                        

∠4 ≅ ∠7                                           Given

∠4 and ∠5 are vertical angles        Vertical angles theorem

∠6 and ∠7 are vertical angles        Vertical angles theorem

∠4 ≅ ∠5 and ∠ 6≅ ∠7                     Definition of vertical angles

∠5 ≅ ∠6                                           Substitution property of equality


Select the values that make the inequality h < 1 true.
(Numbers written in order from least to greatest going across.)

Answers

H = 0 and all negative numbers

Please show your graph if you’re in K12, no confusing graphs please. graph the line for y + 1= - 3/5 (x-4)

Answers

Answer:

Graph Below:

A bag holds 12 red marbles, 11 green marbles, 17 blue marbles, and 5 yellow marbles. What is the probability that you will NOT choose a blue
marble?

Answers

Answer:

No of sample space , n(s) = 12 + 11 + 17 + 5 = 45

No of favorable cases , n(e) = 17

Probability of getting blue marble ,

P(e) = n(e)/n(s)

       = 17 / 45

NOW

Probability of not getting blue marble,

P'(e) = 1 - p(e)

      = 1 - 17 / 45

     = ( 45 - 17)/45

    = 28 / 45

Hope it helped :)

Step-by-step explanation:

I put the question in a doc cuz its a screenshot, please help

Answers

Answer:

38

Step-by-step explanation:

90-52

I hope this helps

Convert -450° from degrees to radians. (5 points)
negative five pi divided by two
negative five pi divided by four
five pi divided by two
negative five pi

Answers

negative five pi divided by two

What is the distance between the points (3,7) and (15,6) on a coordinate plane ?

Answers

Answer:

12.04

Step-by-step explanation:

the distance between two points in the x-axis

15-3 = 12

the distance between two points in the y-axis

7-6=1

using Pythagorean theory

a²+b²=c²

12²+1²=c²

144+1=c²

145=c²

√145=√c²

12.04=c

Help help fast please first answer gets brainiest also needs to be clearly stated

Answers

Answer:

(1,5) and (4,7)

Step-by-step explanation:

The slope of linear equations can be determined by m = rise / run. Rise means the difference between the y coordinates of the two points, and run is that of the y coordinates. In this case rise / run = (7-5) / (4-1) = 2 / 3.

Help Plz this is due tomorrow
Write slope-intercept form of a linear equation

(1,5) and (3,9)
(5,8) and (3,2)
(1,-5) and (0,3)
If you can, when you answer can you put the steps plz
thx

Answers

(1,5) and (3,9)

[tex]y = 2x + 3[/tex]

(5,8) and (3,2)

[tex]y = 3x - 7[/tex]

(1,-5) and (0,3)

[tex]y = - 8x + 3[/tex]

First you need to plot the pointsThen you will find the slope (m), by using rise over runThen we will find the y-intercept (b). To find the y-intercept, choose one of the points on the line.Then you write the equation in slope intercept form (y = mx + b)

Hope this will help:)

I need help ASAP no links and no tricks the one who answers correctly I will mark brainiest. If I got #5 wrong let me know and tell me the right answer and show your work. Ty for ur help ❤️‍❤️‍❤️‍

Answers

Answer:

[tex]y=-\frac{4}{3} x+4[/tex]

Step-by-step explanation:

Slope-intercept form is written in [tex]y=mx+b[/tex]

So, to solve, we must separate y onto one side and make its coefficient one.

[tex]4x+3y=12[/tex]

Subtract 4x on both sides.

[tex]3y=12-4x[/tex]

Divide both sides by the coefficient of [tex]y[/tex], which is 3.

[tex]\frac{3y}{3} =\frac{12-4x}{3}[/tex]

Simplify.

[tex]y=4-\frac{4}{3} x[/tex]

Rewrite this equation into standard form by changing the order of [tex]mx[/tex] and [tex]b[/tex]

[tex]y=-\frac{4}{3} x+4[/tex]

Answer

y=4/5 times 2/3

Step-by-step explanation:

use the confidence interval to find the margin of error in the sample mean (13,23)

Answers

The confidence interval is the range between the sample mean minus E, and the sample mean plus E.  Find the difference between the 2 numbers (22.1-14.7 = 7.4).  Divide that number by 2, because that will tell you what was added to, and subtracted from, the mean.  So we get 7.4/2 = 3.7 for the margin of error.  If you needed to also find the sample mean, add 3.7 to the lower range number, 14.7, to get 18.4 for the mean.
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