Answer:
The answer is below
Step-by-step explanation:
The volume of the cylinder with radius (r) and height (h) is given as:
Volume = πr²h
17 = πr²h
h = 17 / πr²
Let k represent the cost of the side and 2k the cost of the bottom.
The area of the side = 2πrh, hence the cost of the side = k(2πrh)
The area of the top and bottom = 2πr², hence the cost of the top and bottom = 2k(2πr²)
The total cost (T) = cost of side + cost of the top and bottom
T = k(2πrh) + 2k(2πr²)
T = 2kπ(rh + 2r²)
Put h = 17/πr²
T = 2kπ (r×17/πr² + 2r²)
T = 2kπ(17/πr + 2r²)
The minimal cost is at dT/dr = 0
[tex]\frac{dT}{dr} =0=\frac{d}{dr} [2k\pi(\frac{17}{\pi r} +2r^2)]\\\\4r-\frac{17}{\pi r^2} =0\\\\4r=\frac{17}{\pi r^2}\\\\r^3=\frac{17}{4\pi }=1.35\\\\r=\sqrt[3]{1.35}\\\\r=1.1\ m\\\\h=\frac{17}{\pi r^2} =\frac{17}{\pi (1.1)^2} \\\\h=4.42\ m[/tex]
Help me with this please
Answer:
The First Table
Step-by-step explanation:
The y-values increase inconsistently, while the other tables are constant.
What is the slope of the line that passes through the following points? (5,0) and (9,12) PLEASE HELP
Answer:
x+3y=15
Step-by-step explanation:
your slope is 3 because there are 3 dots in between the points if it were on a graph
Determine if the product CA is defined. If the product is defined, state its dimensions. Do not calculate the product.
Answer:
The product can be calculated.
The resulting matrix will have 3 rows and 3 columns.
Step-by-step explanation:
Matrix multiplication
To find the product of two matrices is only possible when the number of columns of the first matrix is equal to the number of rows of the second matrix.
If X is the first matrix with dimensions (n x m) and Y is the second matrix with dimensions (m x p), the product XY is possible and the dimensions of the resulting matrix are (n x p).
Matrix A has two rows and three columns (2x3)
Matric C has three rows and two columns (3x2)
If we wanted to calculate the product CA, the number of columns of C must be equal to the number of rows of A.
Since both numbers are 2, the product can be calculated.
The resulting matrix will have 3 rows and 3 columns.
sarah wants to buy a gym membership. One gym has a $150 joining fee and costs $35 a month. Another gym has no joining fee and costs $60 per month. in how many months will both gym memberships cost the same? What will that cost be?
Answer:
6 months
Step-by-step explanation:
60,120,180,240,300,360
150+35=185. 185,220,255,290,325,360
vertex,axis of symmetry,maximum or minimum,max or min value,range
Answer:
the axis of symmerty is 4 and vertex is (4,3) correct me if i am wrong and you can use desmos to help you it is a graphing calculator
Step-by-step explanation:
I need to know what a slope is and how to determine it.
Key:
m = slope
(x₁, y₁) coordinates of the first, lower point.
(x₂, y₂) coordinates of the second, higher point.
Answer:
In simple terms, slope is how steep a line is.
You can determine slope by:
[tex]\frac{rise}{run}[/tex]Here is the full formula for slope:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_1}[/tex]I've created a little explanatory example below. Please let me now if you have any further questions. I am more than happy to assist you!
~ [tex]InLoveWithPugs[/tex]
Moderator
Math Enthusiast
identify two factors that have a product of 1 7/8
What is the DOMAIN of this graph?
Answer:
Is yellow
Step-by-step explanation:
an open circle for "less than" or "greater than", and a closed circle for "less than or equal to"
Khalid purchases flower bulbs from a catalog for $2 each, plus a $4 shipping charge for the entire order. He spends $20 on flower bulbs. How many bulbs can Khalid purchase?
Answer:
he can get 8 bulbs
Step-by-step explanation:
first subtract 4 from 20 to get you total spent on just the bulbs, then you have 16 left so divide 16 by 2 and get 8
hope this helps! have a good day!
Dwayne is trying to find the fraction represented by the repeating decimal 0.5. He completes the three steps shown:
1) Let x = 0.5
2) 10x = 5.5
3) 10x = 5.5
-x = 0.5
________
9x=5
what is the fraction equivalent of 0.5?
A. 9/5
B.4/9
C. 5/9
D. 5/13
Answer:
C. 5/9Step-by-step explanation:
Three steps given end with:
9x = 5The next step is, divide both sides by 9:
x = 5/9Correct answer option:
C. 5/9Answer:
C. 5/9
Step-by-step explanation:
10x = 5.5
-x = 0.5
9x = 5
x = 5/9
therefore, the answer is C. 5/9
21947÷205 divide and check the result
Answer (3dp):
107.058
Step-by-step explanation:
(image is explanation)
Please help me with this. If you show your work I will give brainliest if there are 2 answers
Work Shown:
450 calories = 20 ounces
450/20 calories = 20/20 ounces ..... divide both sides by 20
22.5 calories = 1 ounce
This smoothie has 22.5 calories per ounce.
Given that f(x) = x – 2 and g(x) = x2 + 3x – 4, find (f – g)(x). Question 1 options:A. (f – g)(x) = –x2 –2x + 2 B.(f – g)(x) = x2+ 2x – 4 C. (f – g)(x) = –x2+ 4x – 6 D. (f – g)(x) = x2+ 4x + 6
Answer:
A
Step-by-step explanation:
[tex](f-g)(x)=f(x)-g(x)\\=(x-2)-(x^2+3x-4)\\=x-2-x^2-3x+4\\=-x^2-4x+2\\[/tex]
Therefore, answer is A.
Answer:
Step-by-step explanation:
Algebra II: Part 2 James Madison
Your quiz has been submitted successfully. 100%
Question 1 5 / 5 points
Given that f(x) = x – 2 and g(x) = x2 + 3x – 4, find (f – g)(x).
A: (f – g)(x) = –x2 –2x + 2
Question 2 5 / 5 points
Given that f(x) = x + 4 and g(x) = x + 7, find (g – f)(x).
A: (g – f)(x) = 3
Question 3 5 / 5 points
Let f(x) = 4x – 1 and g(x) = 2x. Find (f ∘ g)(–5).
A: (f ∘ g)( – 5) = –41
Question 4 5 / 5 points
Which of the following is the inverse relation of the set below?
A: {(3,–2), (–4,7), (7,3), (4,8)}
Question 5 5 / 5 points
What is the inverse of f(x) = 2x2 –4?
A: y = ±x+24−−−√
Question 6 5 / 5 points
Which of the following function pairs are inverses?
A: f(x) = 2x – 3 and g(x) =x+32
Question 7 5 / 5 points
Which of the following is true?
A: The horizontal line test is used to determine if a function's inverse will be a function.
Question 8 5 / 5 points
Evaluate81−−√4
A: 3
Question 9 5 / 5 points
Evaluate 1251⁄3.
A: 5
Question 10 5 / 5 points
Use the properties of exponents to simplify the expression 2(x13)65⋅y23.
A: 2x25⋅y23
Question 11 5 / 5 points
A population culture begins with 15 strands of bacteria and then doubles every 4 hours. This can be modeled as 15(2)t4, where t is time in hours. How many strands of bacteria are present at 12 hours?
A: 120 strands of bacteria
Question 12 5 / 5 points
Simplify 36√3√.
A: 23–√
Question 13 5 / 5 points
Simplify 73–√+12−−√−75−−√.
A: 43–√
Question 14 5 / 5 points
Simplify 2–√×22–√.
A: 4
Question 15 5 / 5 points
Simplify 83−−√.
A: 26√3
Question 16 5 / 5 points
Select the equation of the function shown in the graph.
A: f(x)=2x−−√4−5
Question 17 5 / 5 points
Identify the graph of f(x)=x−2−−−−√3−3.
t would not allow me to add the graft. But it is the answer with the line that goes all the way across the graft starting at -10 thru -4.5 and up to 10. The line looks like an "S"
Question 18 5 / 5 points
Identify the graph of f(x)=6x−−√4−1.
It would not allow me to add the graft. But it is -1 up to the right to about 9.5. Document uploaded
Question 19 5 / 5 points
Select the equation of the function shown in the graph.
A: f(x)=x−1−−−−√5+5
Question 20 5 / 5 points
Solve the inequality x+2−−−−√4>2.
A: x>14
Question 21 5 / 5 points
Solve the inequality −2x−−−−√−1<3.
A: −8<x≤0
Question 22 5 / 5 points
Solve the equation 2x−1−−−−−√=5.
A: x = 13
Question 23 5 / 5 points
Solve the equation x+1−−−−√+5=3.
A: There is no solution.
Question 24 5 / 5 points
Given thatf(x)=4x3x+3−−−−−√ and g(x)=2x+1−−−−√, find (fg)(x).
A: 2x3–√
What is 0.8/50? But not in division form.
Step-by-step explanation:
0.8=8/10
0.8/50
8/10/50
0.016
If you were looking for it in decimal form than its 0.016 but if I'm wrong let me know and I solve it again.
Raman and Raj go for a party each having Rs. 100, If they decide to expend Rs. 150, Then in how many ways they can make the payment
Answer:
only 1 way
Step-by-step explanation:
both of them give their Rs.100 so now it's Rs.200 so pay RS 200 and they'll get Rs 50 as the remain
The number of ways of spending Rs. 150 will be 3.
What are permutation and combination?Combination and permutation are two different ways of grouping elements of a set into subsets in mathematics. The elements of the subset can be listed in any order in a combination. The elements of the subset are listed in a specific order in a permutation.
Given that Raman and Raj go to a party each having Rs. 100, If they decide to expend Rs. 150.
The number of the spending will be calculated as,
Raman + Raj = 150
100 + 50 = 150
50 + 100 = 150
75 + 75 = 150
The number of ways will be three.
To know more about permutation and combination follow
https://brainly.com/question/4658834
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Help me pleaseeeeeeeeeeeeeee
Answer:
D
Step-by-step explanation:
1 1/8 +3/4= 1 7/8
3- 1 7/8
= 1 1/8
Answer:
D
Step-by-step explanation:
123456789101112131415
Type your number answer in decimal form. Do not round.
0.4 liters = milliliters.
18
=
4
Convert the improper fraction to a mixed number.
Answer:
[tex]4\frac{1}{2}[/tex]
Step-by-step explanation:
In order to find the answer to this question you have to divide the numerator by the denominator.
[tex]\frac{18}{4}[/tex]
[tex]4\times4=16[/tex]
[tex]18\div4=4^2[/tex]
[tex]4\frac{2}{4}[/tex]
Reduce:
[tex]2\div2=1[/tex]
[tex]4\div2=2[/tex]
[tex]=4\frac{1}{2}[/tex]
Hope this helps.
Complete the expression so that it forms a perfect square binomial- 3x^2+18x
Answer:
-3x²+18x-27
Step-by-step explanation:
Given :
-3X²+18x
perfect square : (a+b)²=a² + 2ab + b²
[tex]\frac{-3x^{2} }{-3} +\frac{18x}{-3} ... something else[/tex] divide by -3 to have just a² type
x² -6x ...and something
compare with the perfect squere formula and we know a² is x² , a is x, so second term is 2xb and is -6x so b= -3
x²-6x+9 = (x-3)²
if you reverse and multiply by (-3) we have
-3x²+18x-27
A soccer player scored 12 goals this season. He scored 30% of the goals for his team this season. How many goals did the entire team score this season?
Answer:
40 goalas
Step-by-step explanation:
30% x ? = 12
12/30% =
12/(30/100) =
(100 x 12)/30 =
1,200/30 =
40
Henry wrote a total of 12 pages over 4 hours. How many hours will Henry have to spend writing this week in order to have written a total of 15 pages? Assume the relationship is directly proportional.
Answer:
5 hours.
Step-by-step explanation:
12 ÷ 4 = 3. 3 pages an hour, which would mean 5 hours to write a total of 15 pages.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
what is 3/4 h = – 45/52
A painter uses 1.2 liters of the paint to cover 1m2 of the wall.
How many square meters he can cover with 12 liters of paint?
Answer:
10
Step-by-step explanation:
Question 3 of 10
Which of the following are trinomials?
A. 8x
B. 3y +5y2 + y
C. 6x2
D. x4 + x2 +1
E. x2 +3
F. x11
Answer:
So, only B and D are trinomials.
Step-by-step explanation:
A trinomial is an algebraic expression having three terms in it.
A. 8x
Not a trinomial because, it contains only one term.
B. 3y +5y2 + y
A trinomial because, it contains three terms.
C. 6x2
Not a trinomial because, it contains only one term.
D. x4 + x2 +1
A trinomial because, it contains three terms.
E. x2 +3
Not a trinomial because, it contains two terms only.
F. x11
Not a trinomial because, it contains only one term.
So, only B and D are trinomials.
Find the perimeter of the regular polygon.
Answer:
The perimeter is equal to 240.
Step-by-step explanation:
Since the shape is a regular polygon, the sides are equal to each other, so those two equations are equal to each other.
So, to solve for x, then to find perimeter, we need to set the equations equal to each other.
5x + 10 = 7x + 4
Subtract 5x and -4 from both sides.
6 = 2x
Divide each side by 2.
3 = x
Now, we plug it into one of the equations and multiply by 6 (6 sides in the regular polygon).
5( 6 + 2 )
40
40 * 6 = 240
The perimeter is equal to 240.
Perimeter of the regular polygon is 150 unit
Given:
Equal first side of regular polygon = 7x + 4
Equal second side of regular polygon = 5(x + 2)
Find:
Perimeter of the regular polygon
Computation:
We know that side of regular polygon are equal
7x + 4 = 5(x + 2)
7x + 4 = 5x + 10
7x - 5x = 10 - 4
2x = 6
x = 3
So,
Side of regular polygon = 7x + 4
Side of regular polygon = 7(3) + 4
Side of regular polygon = 25 unit
We know that given polygon is hexagon
Perimeter of hexagon = 6(a)
Perimeter of hexagon = 6(25)
Perimeter of hexagon = 150 unit
Learn more:
https://brainly.com/question/3295271?referrer=searchResults
What is 45.3*4 equal please help me
Answer:
45.3 times 4 equals 181.2
Step-by-step explanation:
Answer:
181.2
Step-by-step explanation:
2 1
45.3
* 4
_____
181.2
Multiplication.
assume that 2000 births are randomly selected and 64 of the births are girls. use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high. choose the correct answer below
Total no. of births = 2000
Births of girls = 64
Birth% of girls
[tex] = \frac{64}{2000} \times 100[/tex]
[tex] = \frac{64}{20} [/tex]
[tex] = \frac{6.4}{2} [/tex]
[tex] = 3.2\%[/tex]
Hence, the number of girls are significantly low.
She has
9. Alyssa made 6 trays of popsicles. Each tray makes
8 popsicles. She gave 5 friends a popsicle. How many
popsicles does she have left over?
Answer:
43 popsicles
Step-by-step explanation:
6 times 8 = 48
48 - 5 = 43
(im not sure about my answer)
Answer:
43 popsicles
Step-by-step explanation:
6 times 8 = 48
48 - 5 = 43
Kerry just bought a new Apple iPod nano for 129. On the same day she also bought several albums from iTunes for 11.99 each If she spent $224.92 total how many albums did she buy
Answer:
8 albums
Step-by-step explanation:
What is 50 decreased by 50%
Answer:
25
Step-by-step explanation:
50% (1/2) of 50 is 25
50-25=25
Answer:
i 100% sure it 25
Step-by-step explanation:
