A cylindrical can, open at the top, is to hold 200 cm3 of liquid. Find the height and radius that minimizes the amount of material needed to manufacture the can.
Answer:
h = 5.42
r = 5.42
Step-by-step explanation:
Find h with respect to r:
V = πr²h = 500
h = 500/πr²
Plug this into the surface area equation:
SA = πr² + 2πrh
= πr² + 2πr(500/πr²)
= πr² + 1000/r
Differentiate and set to 0, solve for r:
dSA/dr = 2πr - 1000/r² = 0
2πr = 1000/r²
r³ = 500/π
r = (500/π)^1/3
≈ 5.42 cm
find h:
h = 500/πr²
= 500/[π(5.42)²]
= 5.42cm
Write an equation, then determine the number described in the following statement: Eight less than 3 times a number is twice the sum of x and 4.
Difference of Squares gives which complex factors for the expression x2 +3?
A. (x+3)(x-WB)
B. (x-3)(x-3)
C. (x+3)(x-3)?
D. (x+3)(x-31)
Step-by-step explanation:
Shortest way to solve this question is to find the factors of the given expression.
The given expression is (x² + 13).
Now we have to factorize it.
(x² + 13) = x² + (√13)²
= x² + [-(i)²√(13)²] [Since i = √(-1)]
= x² - (i√13)²
= (x - i√3)(x + i√3) [Since (a² - b²) = (a + b)(a - b)]-by-
Juan’s business had sales in August of $3,256.00. In the same month, his expenses were $4,000.00.
Juan’s profit for the month is ?
The negative sign represents the loss. Then the loss of Juan's will be $744.
What is a profit?A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running, or creating anything.
The profit is given as,
Profit = Selling price - Cost price
Juan’s business had sales in August of $3,256.00. In the same month, his expenses were $4,000.00.
The profit is calculated as,
Profit = $3,256 - $4,000
Profit = - $744
The negative sign represents the loss. Then the loss of Juan's will be $744.
More about the profit is given below.
https://brainly.com/question/15036999
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1. Describe one point on the line and the slope of the line graphed below:
O (2,0),
O (-4,2),
O (-4,2), -3
0 (0,1),
The line is passing through (2, 0) and (0, 0.8) and the slope is 0.4. Then the correct option is A.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
From the line, we can observe that the line is passing through (2, 0) and (0, 0.8).
Then the slope of the line will be
Slope = (0.8 – 0) / (0 – 2)
Slope = 0.4
Then the correct option is A.
More about the linear system link is given below.
https://brainly.com/question/20379472
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Graph the equation y = x2 + 6x + 5 on the accompanying set of axes. You must
plot 5 points including the roots and the vertex.
Answer:
Please check the graph below.
Step-by-step explanation:
Given the function
[tex]y\:=\:x^2\:+\:6x\:+\:5[/tex]
Axis interception points of the function
x-axis interception points can be computed by setting y=0
[tex]x^2+6x+5=0[/tex]
[tex]\left(x+1\right)\left(x+5\right)=0[/tex]
Using the zero factor principle
if [tex]\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
[tex]x+1=0\quad \mathrm{or}\quad \:x+5=0[/tex]
[tex]x=-1,\:x=-5[/tex]
Hence,
x-axis interception points are: (-1, 0), (-5, 0)
y-axis interception points can be computed by setting x=0
[tex]x^2+6x+5=0[/tex]
[tex]y\:=\:\left(0\right)^2\:+\:6\left(0\right)\:+\:5[/tex]
[tex]y=0+0+5[/tex]
[tex]y=5[/tex]
Hence,
y-axis interception points are: (0, 5)
From the graph, it is clear that at (-3, -4) the parabola changes direction, hence (-3, -4) it the "vertex".
Also at the point x=-2, then y is = -3
So, all the points are labeled and the graph is attached below.
can someone help me really quickly and have a explainton for as well
[tex] |c + 4| = 6[/tex]
Alguém pode me ajudar por favor???????????
Answer:
The asnwer is the first one
Step-by-step explanation:
thx for the poins
Pls help
Simplify the expression: -1.23x + 1.54x + 1.2 + 1.2 + 3.4p
Answer:
0.31x + 2.4 + 3.4p
Step-by-step explanation:
combine like terms
Side -side -angles
Angles-side-angels
Angle -angle -side
Angle-angle-angel
Side-angel-side
Side-side-side
Hypotenuse-leg
I need help
Answer:
watch vedio
Step-by-step explanation:
gsinssuksbsi
What is the least common multiple (LCM) of 3 and 5?
Answer:
the lcm of 3 and 5 is 15 I hope this helps
Step-by-step explanation:
What's the square root of 17 rounded to the nearest tenth
Answer:
4.0
Step-by-step explanation:
Answer:
4.1
Step-by-step explanation:
4.1231056 is [tex]\sqrt{17}[/tex]
When rounding to the nearest tenth, we get
4.1
Hope I helped,
PumpkinSpice1
graph an equation on the line passing through point P(0, 0) that is perpendicular to the line when y = −9x−1
please walk me through how to do this so I can di the other questions
Answer:
Axis is a vertical line at x = 2
Vertex is (2, -1)
y-intercept is (0, 3)
Solutions are x = 1 and x = 3
Step-by-step explanation:
To draw the graph of the quadratic equation you must find at least 5 points lie on the graph by choose values of x and find their values of y
Let us do that
Use x = -1, 0, 1, 2, 3, 4, 5
∵ y = x² - 4x + 3
∵ x = -1
∴ y = (-1)² - 4(-1) + 3 = 1 + 4 + 3 = 8
→ Plot point (-1, 8)
∵ x = 0
∴ y = (0)² - 4(0) + 3 = 0 + 0 + 3 = 3
→ Plot point (0, 3)
∵ x = 1
∴ y = (1)² - 4(1) + 3 = 1 - 4 + 3 = 0
→ Plot point (1, 0)
∵ x = 2
∴ y = (2)² - 4(2) + 3 = 4 - 8 + 3 = -1
→ Plot point (2, -1)
∵ x = 3
∴ y = (3)² - 4(3) + 3 = 9 - 12 + 3 = 0
→ Plot point (3, 0)
∵ x = 4
∴ y = (4)² - 4(4) + 3 = 16 - 16 + 3 = 3
→ Plot point (4, 3)
∵ x = 5
∴ y = (5)² - 4(5) + 3 = 25 - 20 + 3 = 8
→ Plot point (5, 8)
→ Join all the points to form the parabola
From the graph
∵ The axis of symmetry is the vertical line passes through the vertex point
∵ x-coordinate of the vertex point is 2
∴ Axis is a vertical line at x = 2
∵ The coordinates of the vertex point of the parabola are (2, -1)
∴ Vertex is (2, -1)
∵ The parabola intersects the y-axis at point (0, 3)
∴ y-intercept is (0, 3)
∵ x² - 4x + 3 = 0
∵ The solutions of the equation are the values of x at y = 0
→ That means the intersection points of the parabola and the x-axis
∵ The parabola intersects the x-axis at points (1, 0) and (3, 0)
∴ Solutions are x = 1 and x = 3
2x to the power 2 minus 5x+6 X=-2
Answer:
=(x-2)(x-3)
Step-by-step explanation:
This is what I got. I hope this can help you.
What is the perimeter of the
figure below?
2 in
9 in
2 in
11 in
plz help this is hard and i cant figure it out -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Answer:
2
Step-by-step explanation:
these are alternative interior angles so they are equal to each other (congruent) soooo
9x + 4 = 3x + 16
subtract:
9x = 3x + 12
6x = 12
divide
x = 2
Compute the variances in dollar amount and in percentage. (Round to the nearest whole percent.) Indicate whether the variance is favorable (F) or unfavorable (U). Budgeted Amount - Expense $255.00 Actual Amount $225.00
Answer:
Variance is the difference between a Budgeted Amount and the Actual Amount. In terms of expenses, if the Budgeted amount is more than the Actual amount, the variance is Favorable because less was spent than was supposed to be spent.
The reverse is true.
Variance = Budgeted Amount - Actual amount
= 255 - 225
= $30
Percentage = Variance / Budgeted amount
= 30/255
= 11.76%
The variance is FAVORABLE because the actual amount was less than the budgeted amount.
7h + 3 = 7(2=h) -11
this is my question what is the answer???
Answer:
7h+3=-11?
then h=-11-3 divided by 7
Step-by-step explanation:
Determine if the following relation is a function, and explain why.
41
3+
2
1
AT
-32
1
0
1
-1
2 3
-2
-31
Answer:
I have no idea butter needed points im sorryyy
Determine the slope of each equation below:
y = 3x -8
y-4 = [(x + 5)
12x + 2y = 18
Answer:
1 = 3
2 = 1 ( I assumed the equation is y-4 = [(x+5)]
3 = -6
Step-by-step explanation:
The normal to the curve y =root x, at the point where x=1 and x=4 meet at P, find the coordinates of P.
The curve is y = sqrt{x}.
Replace x in the curve with 1 and then with 4 to find your point.
y = sqrt{1}
y = 1
First point (1, 1).
y = sqrt{4}
y = 2
Second point (4, 2).
Take it from here.
Rosa Went to have a manicure that cost $25 she wanted to tip the technician and 15% and tax is 7% how much did she spend total for the manicure
The correct answer is $30.5 or $31 if rounded
Explanation:
To find the total Rosa spent on the manicure, it is necessary to calculate the money spent on taxes and the money she tipped to the technician. The process is shown below:
Taxes:
$25 represents 100% of the cost and 7% percent represents the total taxes.
1. Write the values using x as the value you want to know
25 = 100
x = 7
2. Use cross multiplication
x 100 = 175
3. Solve this equation
x = 175 / 100
x = 1.75 (Total price for taxes)
Tip:
Repeat the process but in this case calculate the 15% of $25
25 = 100
x = 15
x 100 = 375
x = 375 / 100
x = 3.75
Total: Finally, add the three values
$25 (cost of the manicure) + $ 1.75 (taxes) + $3.75 (tip) = $30.5 or $31 if rounded
figure Ais reflected across the line to create figure A’
y = (x + 1)(x - 2)
Distribution
Evaluate the expression 3x for x = 7
Answer:
3(7)
the answer is 21
Step-by-step explanation:
Answer:
the answer is 21.
50 POINTS! ONLY ANSWER IF KNOW! PLEASE HELP! CAPTURE BELOW
Answer:
84
It took a while
1. Given: 3(m-2) + 14 = 38
Prove: m= 10
please help it’s a proof
Answer:
It is 10 (m=10)
Step-by-step explanation:
3 (10-2) + 14 Subtract whats in the parentheses
3 (8) + 14 Multiply 3 and 8
24 + 14 Add the remaining to get the sum ( 24 + 14 )
38 (Your total)
~~~Hope this helps~~~
A balloon that has a volume of 72 cubic centimeters is deflating at a rate of 4 cubic cm every 5 seconds. At this rate, how long will it take for all 72 cubic cm to deflate?
Answer: 90 seconds or 1 min. and 30 sec.
Step-by-step explanation:
72/4=18
18x5=90
What is equivalent to 3x – 2y = 4?
Answer:
This equation is equal to y=3/2x-2
Step-by-step explanation: