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
The function that gives the surface area has the radius as a denominator.
The values r can take are; 0.1, 1, 2, and 3Reasons:
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
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Related Questions
For a Brainly please help me out
Answers
Answer:
y = –(1/2)x + 7
Step-by-step explanation:
Slope intercept form is y = mx + b
m is the slope
When the slope is the same the lines are parallel
here the slope is –1/2
therefor
y = –(1/2)x + 7 is parallel
Cuanto le mide a messi la tula ?
Answers
Answer:
5’7”
Step-by-step explanation:
te refieres a lionel messi? el mide 5'7 ".
Perdon, mi español no es muy bueno :)
9lb. 11oz. - 3lb. 11oz. =
Answers
Answer:
6lb
Step-by-step explanation:
9lb - 3lb = 6lb
11oz - 11oz = 0oz
Write a function g whose graph is a vertical stretch by a factor of 3 of the graph of f(x)=|x|-5. g(x)=
Answers
Answer:
See belowStep-by-step explanation:
A vertical stretch by a factor of 3 of the graph of f(x) will result in:
g(x) = 3 f(x)This gives us:
g(x) = 3( |x| - 5) = 3|x| - 15The function g(x) after a vertical stretch by a factor of 3 can be defined as follows:
g(x) = 3(|x| - 5)
To create a function g(x) that is a vertical stretch by a factor of 3 of the graph of f(x) = |x| - 5, you can simply multiply the entire function f(x) by 3.
This will stretch the graph vertically while maintaining the same shape.
Therefore, the function g(x) can be defined as follows:
g(x) = 3(|x| - 5)
This function takes the absolute value of x, subtracts 5, and then multiplies the result by 3, resulting in a vertical stretch of the graph of f(x).
The vertical stretch by a factor of 3 means that the y-coordinates of all points on the graph are multiplied by 3, making the graph taller compared to the original f(x) graph.
Hence the function g(x) after the vertical stretch is g(x) = 3(|x|-5).
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How do you factor an expression to the 4 exponent.
Answers
Answer:
We can factor a difference of fourth powers (and higher powers) by treating each term as the square of another base, using the power to a power rule. For example, to factor x4 - y4, we treat x4 as (x2)2 and y4 as (y2)2. Thus, x4 - y4 = (x2)2 - (y2)2 = (x2 + y2)(x2 - y2) = (x2 + y2)(x + y)(x - y).
Answer: How do you factor variables with exponents? To do this, take the greatest common factor of the numbers and the smallest exponent of each variable. 2. Divide the original expression by the greatest common factor. To do this, divide the coefficients, and subtract the exponents of the variables.
Explanation: Expressions with fractional or negative exponents can be factored by pulling out a GCF. Look for the variable or exponent that is common to each term of the expression and pull out that variable or exponent raised to the lowest power. These expressions follow the same factoring rules as those with integer exponents.
please help meeeeeeeeeeeeeeee
Answers
Approximate 23 by following the steps below.
V23 must lie between the whole numbers
and
You must answer all questions above in order to submit.
Answers
Answer:
4 and 5
Step-by-step explanation:
Well, 23 is less than 25, which is 5^2. Moreover, its more than 16, or 4^2
Which equation represents a line that passes through (-9, -3) and has a slope of -6? - = y-9 = -6(x-3) y + 9 = -6(x + 3) y-3 = -6(x-9) O y + 3 = -6(x + 9) = x
Answers
Answer:
(y+3)=−6(x+9) ( y + 3 ) = − 6 ( x + 9 )
Step-by-step explanation:
find the gradient and y- intercept of the line with equation 2x+3y-7=0
Answers
Answer:
Gradient = -2/3
y-intercept = 7/3
Step-by-step explanation:
Convert the equation in y = mx + c form, m is the gradient and c is the y-intercept
2x + 3y = 7
3y = -2x + 7
y = -2/3x + 7/3
Sara poured 3/4 of the juice from a 2 liter bottle while serving guest party.
How much juice, in liters, is still left in the bottle
Answers
Answer:The juice left in bottle is 0.5 litre
Step-by-step explanation:Sara poured 3/4 of the juice from a 2 liter bottle while serving guests at a party how many Juice in liters is still left in the bottle. 2.
Find the value of x
A. 56° B. 66° C. 809 D. 130°
Answers
Answer:
B.66
hope this helps you!!
Item 4
A gopher lives in an underground burrow. It starts at a certain point, p, underground and digs straight down to triple its distance under the surface. It then climbs straight down another 2 feet. Its final position is deeper than 8 feet under the surface.
What was the gopher's original position, p, relative to the surface?
Enter your answer in the box to complete the inequality.
Answers
Answer:
<-2
Step-by-step explanation:
i took the test
Answer:
<-2
Step-by-step explanation:
k12
all quiz answers for a crown!
List the first six common multiples of 6 and 9
Answers
Answer:
The first few multiples of 6 and 9 are (6, 12, 18, 24, 30, . . . ) and (9, 18, 27, 36, . . . )
What a person puts into their relationship is proportional to what they feel they receive; this balance is called
Answers
Answer:
Equity
Step-by-step explanation:
A person puts into their relationship is proportional to what they feel they receive; this balance is called equity.
What is the relationship?The happiest, most enduring relationships are between best friends, They relish each other's company, trust on one another for love and attention, devote their free time apart, and have a lot of similarities.
A situation when people's benefits from relationships are inversely correlated with their contributions. These consequences don't necessarily have to be equal.
A person who is firmly attached has a strong feeling of merit and anticipates that most others will be receptive and sympathetic.
Because it fosters familiarity—which increases attraction—proximity counts in the attraction process. The probability that we will become interested to someone simply increases when we are in their presence or are exposed to them frequently.
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help lol
The FOIL method helps you remember how to multiply each term in one ____________ by each term in the other ____________.
Answers
The FOIL method helps you remember how to multiply each term in one binomial by each term in the other binomial.
What is FOIL method?FOIL is the standard method of multiplying two binomials.
The word FOIL is an acronym for the four terms of the product:
First (“first” terms of each binomial are multiplied together)Outer (“outside” terms are multiplied—that is, the first term of the first binomial and the second term of the second)Inner (“inside” terms are multiplied—second term of the first binomial and first term of the second)Last (“last” terms of each binomial are multiplied)We try to explain this using an example.
[tex]= (2x+1)(3x+ 5)\\\\=(2x * 3x) + (2x * 5) + (1* 3x) + (1 *5)\\\\= 6x^{2} + 10x + 3x + 5\\\\= 6x^{2} + 13x + 5[/tex]
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Can someone help me with this question
Answers
Answer:
A. x=-2
Step-by-step explanation: your welcome
Color the star BLUE if the statement is true and RED if false
pwede p yong tamang answer hehe..bukas na kasi parasahan
Answers
Answer:
RED
BLUE
BLUE
RED
BLUE
MARK ME BRAINLIEST PLSSSWhat's the circumference of a
circle with a radius of 5 inches?
Use 3.14 for i.
C = [?] inches
Answers
Answer:
31.4 inches
Step-by-step explanation:
c = 2 * 3.14 * r
c = 2 * 3.14 * 5
C = 31.4 inches
your internet provider offers two different plans. One plan costs $.02 per email plus a $9 monthly service charge. the other plan costs $.05 per email with no service charge.
Answers
Answer:
Step-by-step explanation:
y=.02x+9 - First Part
y=.05x - Second Part
(7+7b)+(-2+8c)+(1+5d)
Answers
Answer: 7b + 8c + 5d + 6
Step-by-step explanation:
1) (7+7b)+(-2+8c)+(1+5d)
combine like terms (starts with the ones with variables)
2) 7b + 8c + 5d
now all you need to do is add the numbers without variables
3) 7b + 8c + 5d + (7 + -2 + 1)
4) 7b + 8c + 5d + 6
hello what is 100^4
pls help asap my homework
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Solution ~
[tex]100 {}^{4} [/tex][tex]100 \times 100 \times 100 \times 100[/tex][tex]100000000[/tex]or it can also be expressed as ~
[tex]10 {}^{8} [/tex]
[tex]1 {0}^{8} \\ \\ hope \: \: it \: \: helps \\ \\ see \: \: the \: \: attachement[/tex]
The question is written on the image
Answers
Answer:
I have attached the answer below.
Step-by-step explanation:
The diagram which has red ink cannot take a perfect feeding path.
Hopefully this helps.
Select the interval where h(c) < 0.
A) -3
B)2
C)4
Answers
Answer:
Option C: 4
Hope this helps!
How do you Form an equation for x and then solve to find the value of x
Answers
9514 1404 393
Answer:
x = 38.2
Step-by-step explanation:
Each of the functions of x represents the measure of an angle in the triangle. You write an equation for x by using what you know about the relationships of angles in a triangle: their sum is 180°.
(2x) +(x -18) +(2x +7) = 180
5x -11 = 180 . . . . . . . collect terms
5x = 191 . . . . . . . . . . add 11
x = 38.2 . . . . . . . . . divide by 5
10. El siguiente circulo está dividido en 8 rebanadas iguales. ¿Qué fracción del circulo está sombreada?
Answers
Answer:
2/8
Step-by-step explanation:
2/8 porque ahy 8 y 2 estan coloridas.Si gustarias simplifar seria .25
Find the value of z
Answers
Answer:
z = 9 I think
Step-by-step explanation:
Because I did the quiz
I need help with these two questions!! HELP
Answers
Answer:
AB and GF are skew
DH and BF are II
EF and HG are skew
ABCD and EFGH are II
Step-by-step explanation:
II is parralell or side by side.
Skew would be like intercepting with one another.
Have an awesome day! :D
Write 41. 287 to 1 decimal place
Answers
Add and write in standard form: (-3x^4 + 6x^3 - 43) + (8x^5 - x^2 + 12x + 10)
A.) 8x^5 - 3x^4 + 6x^3 - x^2 + 12x - 33
B.) x^5 - 5x^3 + 12 - 33
C.) -33 + 12x - x^2 + 6x^3 - 3x^4 + 8x^5
D.) -13x^14
Answers
Answer:
A.) 8x^5 - 3x^4 + 6x^3 - x^2 + 12x - 33
Answer: A
Step-by-step explanation:
Because the only thing that can be combined is - 43 and 10, you just need to combine that and write everything else out.
- 43 + 10 = - 33
Now just write everything out...
8x^5 - 3x^4 + 6x^3 - x^2 + 12x - 33
Which is A
14. At a local fruit stand, Luisa spends $5.25 for 2 pounds of strawberries. At this rate, how much can she expect to pay for 3.5 pounds of strawberries? (round to the nearest hundredt
h) Proportion Answer