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
Learn more about asymptotes here:
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Related Questions
What is 3.468 rounded to the nearest tenth of an ounce?
Answers
Answer:
3.5
Step-by-step explanation:
The tenths place would be 0.1
So in 3.468 the 4 is in the tenths place
Look at the number to the right of it, if it is greater than 5 you round up and if it is 4 or lower you stay the same.
For 3.468 you would round up
So you would have 3.5
Have A GREAT day man
Sincerly, lipor
What are the zeros of f(x) = (x - 2)(x + 7)? Select all that apply.
x= 7
O x=2
0
x= -2
Ox--7
Answers
Solve each set of parentheses so they equal 0:
(X-2) = 0 add 2 to both sides : x = 2
(X + 7) = 0 subtract 7 from both sides: x = -7
The zeros are 2 and -7
Answer:
Value of x could be = 2 or -7
Step-by-step explanation:
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Arnold has a bag of 10 sweets. He eats 9 of them. What fraction of the sweets does he eat?
Answers
Answer:
9/10
Step-by-step explanation:
if he has 10 and eats 9 you divide 9 by 10
= 9/10
Arnold eats 9 / 10 fractions of the sweets.
Given that,
Arnold has a bag of 10 sweets. He eats 9 of them. What fraction of the sweets he eat is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
Here,
Arnold has a bag of 10 sweets
Total sweets = 10
Total sweets that were eaten by Arnold = 9
So,
Fraction = sweets eat / total sweet
Fraction = 9 / 10
Thus, Arnold eats 9 / 10 fractions of the sweets.
Learn more about fractions here:
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What is linear algebra.
Answers
Answer:
Linear algebra is flat differential geometry and serves in tangent spaces to manifolds.
Step-by-step explanation:
Linear algebra is the study of lines and planes, vector spaces and mappings that are required for linear transforms. It is a relatively young field of study, having initially been formalized in the 1800s in order to find unknowns in systems of linear equations.
Combined with calculus, linear algebra facilitates the solution of linear systems of differential equations. Techniques from linear algebra are also used in analytic geometry, engineering, physics, natural sciences, computer science, computer animation, and the social sciences (particularly in economics).
Last week robin ran 15 miles over seven days how many miles did she run per day show or explain how you get your answer
Answers
Answer:
2.14
Step-by-step explanation:
15 miles ➗ 7 days = 2.14
hey, can someone please double check these questions for me / or help me solve them if they are incorrect? thank you U-U
Answers
Question 11
The directrix is a horizontal line, which means the parabola opens either upward or downward. In this case, it opens downward. This is because all answer choices have a negative leading coefficient. Also, it's because the focus is below the directrix.
For vertically opening parabolas, we use this form
4p(y-k) = (x-h)^2
where (h,k) is the vertex and p is the focal distance, aka the distance from the vertex the focus. To find (h,k), we start at the focus (0,-4) and move directly up until we reach the directrix y = 4. We'll arrive at (0,4). The midpoint of (0,-4) and (0,4) is (0,0) which is the vertex's location. So (h,k) = (0,0).
Note that in moving from (0,-4) to (0,4) is a span of 4 units. So this is the value of p.
Plug h = 0, k = 0, p = 4 into the equation mentioned and solve for y
4p(y-k) = (x-h)^2
4*4(y-0) = (x-0)^2
16y = x^2
y = (1/16)x^2
The only adjustment we need to make is to change the 1/16 to -1/16 so that the parabola opens downward.
Answer: Choice D. y = -(1/16)x^2===============================================
Question 3
The given equation is in the form y = ax^2+bx+c
In this case,
a = 2b = 4c = 3Let's compute the x coordinate of the vertex h
h = -b/(2a)
h = -4/(2*2)
h = -1
This h value is plugged into the original function to find k
f(x) = 2x^2+4x+3
f(-1) = 2(-1)^2+4(-1)+3
f(-1) = 1
We find that h = -1 and k = 1 pair up together. In short, (h,k) = (-1,1) is the vertex.
Answer: Choice B. (-1,1)A 3-pack of light bulbs costs $3.27. What is the unit price
Answers
Answer:
0.91$
Step-by-step explanation:
BRAINLIEST
I could really use your help
Answers
Answer:
12 : 126
Step-by-step explanation:
Dc=28 there for the angle is 28
Step-by-step explanation:
the KL angle is 72
50 Points Per Answer
Create a function in factored form for a roller coaster.
• Your coaster ride must have at least 3 relative maxima and/or minima
• The ride length must be at least 2 minutes (blueprint must use seconds)
• The coaster ride starts at 250 feet
• The ride dives below the ground into a tunnel at least once
• The ride must have one “turn around/bounce” (Mutliplicity 2)
• The ride must have at least one “twist/swerve” (Multiplicity 3)
• The ride must hit ground level at least three times (Three real zeros)
Answers
Answer:
Since you have 3 local extremas, you will have a polynomial function of degree 4. The domain of the function is [0, 4].
Use these initial conditions as your guidelines:
f(0) = 250
f(x) has at least one x-intercept (crosses the x-axis) and must be in the interval (0, 4].
f(x) decreases in any of the following intervals: (0, 1) or (2, 3)
Remember, you will have an arbitrary function that satisfies these conditions.
Step-by-step explanation:
I did :Your coaster ride must have at least 3 relative maxima and/or minima
Is this relation a function? Justify your answer.
10
9
8
7
6
.
5
4
3
2
1 2
3
5 6 7
8 9 10
O A. Yes, because every x- and y-value is positive.
B. No, because two points with the same x-value have different y
values.
C. Yes, because the number of x-values is the same as the number of
y-values.
Answers
Answer:
C. Yes, because the number of x - values is the same as the number of y-values
Find the measure of Angle 8
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Angle 8 = 99°Since they form corresponding Angle pair ~
find the length of segment AB
Answers
Answer:
26
Step-by-step explanation:
AB=CB so
3x+8=7x-16
-4x=-24
x=6
then plug that x value into the length which is 3x+8
so 3(6)+8=18+8=26
polynomials functions please help
Answers
Answer:
Step-by-step explanation:
Polynomial Functions. A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc. For example, 2x+5 is a polynomial that has exponent equal to 1.
3. If 480 movie tickets were sold on Saturday,
how many were child tickets?
Child= 15%
Adult= 75%
Senior=10%
Answers
360 Adult tickets.
40 senior tickets.
Hope this helps!!
:)
^sorry if I’m wrong!!^
Answer:
72 child
369 adult
48 senior
PLEASE HELP, DUE TOMORROW
Answers
A store had 64 hats on stock on friday. They had 48 left on Saturday. The amount went down by 16. PLS HELP!!!
Answers
Answer:
if you need to plot what percent they have left its 75%, i you have to plot how much decreased it would be 25%> Hope this helped!
Step-by-step explanation:
Find the measure of each angle indicated.
Answers
Step-by-step explanation:
92°
as the has given pair of angle is Alternate Exterior angle so they have same values.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Carbon-14 has a half-life of 5730 years. How long will it take for 180 grams to decay to 100 grams?
Answers
Answer:
3185
(I'm not sure if it's correct, if it's wrong I apologize in advance.)
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]
please help me with this for a brainly plus give explaantion on how you got that answer
Answers
determine the given slope and y-intercept and the given linear function.
x -1,0,1,2
F(x) 1,3,5,7
Answers
use calcurature
to sold that problem
Step-by-step explanation:
thank you for the points
please follow me and
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hope its help
IS MITOSIS CELL REPLICATION?
Answers
Someone help me on B and C!!!!
Answers
Answer:
(Answer of part B) First of all diameter of Mars in ordinary number = 6780 kmNow radius = Diameter/2 = 6780/2 = 3390 So radius of Mars in ordinary number = 3390 km(Answer of part C) Mass of earth = 5.97 × 10³⁴ Mass of mercury = 3.3 × 10²³Difference between the masses of Earth and Mercury = (5.97 × 10³⁴) - (3.3 × 10²³) = 2.67 × 10¹¹So, difference = 2.67 × 10¹¹Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Please I really do need ur help. 4 5/9 is the same as the sum of 2 1/3 and 5/6 times a number.
What is the number?
Enter your answer as a mixed number in the simplest form in the box.
Answers
Just set the question into an equation:
(2 1/3+ 5/6)x = 4 5/9
(Solve for x and you’ll get 1 25/57).
Answer: X = 2 2/3
Step-by-step explanation:
4 5/9 is the same as the sum of 2 1/3 and 5/6 times a number.
Let X be the "number." Translate the sentence:
(4 5/9) = ((2 1/3) + (5/6))*X
"4 5/9 is the same": (4 5/9) =
"as the sum of 2 1/3 and 5/6": ((2 1/3) + (5/6))
"times a number": *X
Put them all together:
(4 5/9) = ((2 1/3) + (5/6))*X
(41/9)-(7/3) = (5/6)X
(41/9)-(21/9) = (5/6)X
(20/9) = (5/6)X
X = (20/9)*(6/5)
X = 120/45
X = 2 30/45 or 2 2/3
what's the opposite of 42?
Answers
Answer:
- 42
Step-by-step explanation:
The opposite of 42 is negative 42.
Which of these is not an improper fraction? A 5/5 B 40/30 C 934/85 D 3/7
PLEASE HELP !!!!!
Answers
Answer:
D and I think it is correct since it has a fraction whose numerator is less than the denominator good luck hope you pass
[tex]\bf 2x-4=10[/tex]
Answers
Answer:
x = 7
Step-by-step explanation:
Add 4 on both sides to get 2x = 14, then divide 2 on both sides to get x = 7.
Hope this helps :)
The electricity bill of Sarah’s house for the last month was $60, while for this month it is $120. If p is the percent increase in the amount, which proportion can be used to calculate p?
Answers
Answer:
100% increase
Step-by-step explanation:
The equation is, as we see (120-60)/60=x/100. If we multiply the whole equation by 100, we get (120-60)/60*100=x. We simplify to get a 100% increase.
How many grams are contained in 0.54 moles of calcium?
Answers
The number of grams present in 0.54 moles of calcium is; 22 g
We are given;
Number of moles; n = 0.54 moles
Now, Molar mass of calcium is;
M = 40.1 g
Formula for number of moles is;
n = m/M
Where;
n is number of moles
m is mass in grams
M is molar mass
Thus;
0.54 = m/40.1
m = 40.1 × 0.54
m = 21.654 g
Approximately m = 22 g
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A random sample of 150 adults was given an IQ test. It was found that 78 of them scored higher than 100. Based on this, compute a 99% confidence
interval for the proportion of all adults whose IQ score is greater than 100. Then find the lower limit and upper limit of the 99% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.
Answers
Answer:
answer in the link
Step-by-step explanation: