Answer:
1.4:1
= 14:10
= 7:5
Hence, ans is 7:5
Hope it helps, please mark me as brainliest...
what are the answers to these questions?
a) The function of h in terms of r is h=1400/(πr²).
b) The surface area of the can in terms of r is 2800/r+2πr².
c) The corresponding values of r and h that minimize the amount of required material are r≈14.04 cm and h≈2.98 cm.
a) The volume of a cylinder is given by
V = πr²h.
In this case, the volume of the can is
1400 cm³
So we have
1400 = πr²h.
Solving for h, we get
h = 1400/(πr²).
b) The surface area of a cylinder is given by
A = 2πrh+2πr².
Using the expression we obtained for h in part (a), we can substitute it in the equation and get
A = 2πr(1400/(πr²))+2πr²
= 2800/r+2πr².
c) To minimize the amount of required material, we need to find the value of r that minimizes the surface area.
To do this, we take the derivative of the surface area expression with respect to r and set it equal to zero:
dA/dr = -2800/r²+4πr = 0.
Solving for r, we get
r = √(700/π), which is approximately 14.04 cm.
Substituting this value in the expression for h that we obtained in part (a), we get
h = 1400/(π(14.04)²), which is approximately 2.98 cm.
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f(x)=x^3-3x^2+2x+2. find f(-x).
Answer:Therefore, f(-x) = -x^3 - 3x^2 - 2x + 2.
Step-by-step explanation:o find f(-x), we replace every instance of x in the function f(x) with -x:
f(-x) = (-x)^3 - 3(-x)^2 + 2(-x) + 2
Simplifying, we get:
f(-x) = -x^3 - 3x^2 - 2x + 2
there are 23 students in mr wilson's classroom. mr wilson wants to determaine the probabillities of male and female students playingon a school sports team. he surveyed his students and determained
The probability of boys and girls playing on school sport team is x/23 and y/23 respectively.
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1.
This means that the addition of probability of boys and probability of girls playing in a school tem will be 1. Represent the number of boys by x and the number of girls by y.
Probability = sample space /Total outcome
Since the total number of students is 23
Therefore, the probability of boys in the team = x/23 and,
Probability of girls = y/23
therefore x/23 +y/23 = 1
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Can anybody help me quick 21 points
HELP ASAP!! 15 POINTS!!
Based on the information, we can infer that the correct graph/table is option D.
How to identify the correct table/chart?To identify the correct chart or table, we must identify the information about the data that Emily uses each year. She uses 360GB each year, in this case, to identify the relationship we must divide the amount of data she uses by the number of months she has in a year:
360GB / 12 months = 30 GB/month
In accordance with the above, we must identify the table or graph that represents this relationship. In this case it would be table D because it shows an increasing relationship of 1 month with 30gb, 2 months with 60gb, 3 months with 90gb, 4 months with 120gb, and so on.
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What is the value of X? (Please help, used 50 points!)
Answer:
x=7
(x)(x+1)=(4)(4+10)
Step-by-step explanation:
Expanding the right-hand side of the equation, we get:
(x)(x+1) = (4)(14)
Simplifying, we get:
x^2 + x = 56
Moving all terms to the left-hand side, we get:
x^2 + x - 56 = 0
Now we can factor this quadratic equation:
(x + 8)(x - 7) = 0
So the solutions are x = -8 or x = 7.
Answer: X=7
Step-by-step explanation:
To Solve this problem we have to remember a formula regarding secants in circles it states (A+B)*B=(C+D)*D, I have attached said Theorem. This is Exactly what your problem is asking.
So First
B = 4
A = 10
D = x
C = 1
(A+B)*B=(C+D)*D
(10+4)*4=(1+x)*x
14*4=x²+x
-x²-x+56=0
Using Quadratic Formula
X = 7, X = -8
Since you cant have - side length X= -8 is Extraneous
Thus Final solution is X = 7
PLEASE HURRY
Let u = - 4i + 2j , v = 3i - j and w = - 6j
Find the specified scalar or vector
5u(3v - 4w)
The specified scalar or vector 5u(3v - 4w) is equal to -420i + 250j.
We can begin by distributing the scalar 5 to the vector 3v - 4w:
5u(3v - 4w) = 5u(3v) - 5u(4w)
Next, we can find the scalar multiples:
5u(3v) = 5(-4i + 2j)(3(3i - j)) = 5(-36i + 10j)
5u(4w) = 5(-4i + 2j)(4(-6j)) = 5(48i - 40j)
Now we can substitute these values back into the original expression:
5u(3v - 4w) = 5(-36i + 10j) - 5(48i - 40j)
Simplifying:
5u(3v - 4w) = -420i + 250j
Therefore, 5u(3v - 4w) = -420i + 250j.
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Which of the following statements is true about the numbers below?
(i)
(the digits cycle through repeatedly)
(ii)
(the number of
inbetween the
increases by one each time)
The statement that is true about the numbers above include the following: C. (i) is rational and (ii) is rational.
What is a rational number?In Mathematics and Geometry, there are six (6) common types of numbers and these include the following:
Irrational numbersIntegersReal numbersRational numbersNatural (counting) numbersWhole numbersIn Mathematics and Geometry, a rational number can be defined a type of number which comprises fractions, integers, terminating or repeating decimals such as the 2/3, 0.12345678901234567890.
What is an irrational number?In Mathematics and Geometry, an irrational number can be defined a type of number which comprises non-terminating or non-repeating decimals such as the square root of 11 or √11.
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A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.
10, 11, 35, 39, 40, 42, 42, 45, 49, 49, 51, 51, 52, 53, 53, 54, 56, 59
A graph titled Donations to Charity in Dollars. The x-axis is labeled 10 to 19, 20 to 29, 30 to 39, 40 to 49, and 50 to 59. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 10 to 19, up to 2 above 30 to 39, up to 6 above 40 to 49, and up to 8 above 50 to 59. There is no shaded bar above 20 to 29.
Which measure of variability should the charity use to accurately represent the data? Explain your answer.
The range of 13 is the most accurate to use, since the data is skewed.
The IQR of 49 is the most accurate to use to show that they need more money.
The range of 49 is the most accurate to use to show that they have plenty of money.
The IQR of 13 is the most accurate to use, since the data is skewed.
Answer:
The IQR (interquartile range) of 13 is the most accurate measure of variability to use in this case, since the data is skewed and contains some outliers.
The IQR is a measure of variability that is less sensitive to extreme values than the range, and is calculated as the difference between the upper and lower quartiles (the 75th and 25th percentiles). It provides a measure of the spread of the middle 50% of the data, which is useful for understanding the typical range of donations received.
In this case, the IQR is calculated as follows:
- The median of the data is 51 (the value in the middle).
- The lower quartile (Q1) is the median of the lower half of the data, which is 42.
- The upper quartile (Q3) is the median of the upper half of the data, which is 54.
- The IQR is the difference between Q3 and Q1: IQR = Q3 - Q1 = 54 - 42 = 12.
So the IQR of 13 is a useful measure of variability to use for this data set, since it captures the spread of the middle 50% of the data while being less sensitive to the outliers at the higher end of the distribution.
Hey I was wondering if anyone can help me solve this and maybe graph it to.
The line described by y = 3/4x+5 is tangent to a circle at the point (0, 5). The line described by 3x + 4y = 38 is tangent to the same circle at the point (6, 5). Find the equation of the circle.
The equation of the circle is determined as (x + 3)² + (y - 9)² = 25.
What is the equation of the circle?The equation of the circle is calculated as follows;
For the equation;
y = 3/4x+5
Slope = 3/4, the slope of the line perpendicular to the line = -4/3.
it is pass through the (0, 5).
The equation of the line: y - 5 = -4x/3
For the equation;
3x + 4y = 38
4y = -3x + 38
y = -3x/4 + 38
slope = -3/4, the slope of the line perpendicular to the line = 4/3
it is pass through the (6, 5)
The equation of the line: y - 5 = 4/3(x - 6)
Solve the two equations together to find the point of intersection;
(-4/3)x + 5 = (4/3)(x - 6) + 5
-4x/3 = 4x/3 - 8
8x/3 = -8
8x = -24
x = -3
y - 5 = -4x/3
y - 5 = -4(-3)/3
y - 5 = 4
y = 9
The center of the circle = (-3, 9)
The radius of the circle is calculated as;
r = √ (-3 -0)² + (9 - 5)²
r = √(9 + 16)
r = 5
The equation of the circle becomes;
(x - a )² + (y - b)² = r²
(x + 3)² + (y - 9)² = 5²
(x + 3)² + (y - 9)² = 25
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Apply the sorted edges algorithm to the graph above. Give your answer as a list of vertices, starting and ending at vertex A. Example: ABCDEA
The sorted edges algorithm was applied to the pentagon prism graph ABCDEA with edge weights given. The final path is starting and ending at vertex A is A-B-C-D-A-E.
The sorted edges algorithm starts by sorting the edges in ascending order of their weights. Then, starting from vertex A, the algorithm chooses the next smallest edge that connects to an unvisited vertex until all vertices have been visited.
Sort edges in ascending order
AD = 4, EA = 6, BC = 2, BD = 9, AB = 7, CE = 11, DE = 8, CA = 14, BE = 15, CD = 13
Starting at vertex A, select the next smallest edge that connects to an unvisited vertex AB = 7. Move to vertex B and select the next smallest edge that connects to an unvisited vertex BC = 2. Move to vertex C and select the next smallest edge that connects to an unvisited vertex CD = 13
Move to vertex D and select the next smallest edge that connects to an unvisited vertex AD = 4. Move to vertex A and select the next smallest edge that connects to an unvisited vertex EA = 6. Move to vertex E and all vertices have been visited. The final path is A-B-C-D-A-E.
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What’s the correct answer for problem 16???
The values of x and y of the given transverse lines are:
x = 44.25° and y = 7.25°
How to find the missing angle on the line?We know that there are different classification of angles such as:
Corresponding angles
Alternate angles
Opposite angles
Supplementary angles
Complementary angles
Now, we also know that sum of angles on a straight line is 180 degrees. Thus:
5x - 9y - 16 = 140
5x - 9y = 156 -----(1)
We also know that alternate angles are defined as two angles, that are formed when a line crosses two other lines, that lie on opposite sides of the transversal line and on the opposite relative sides of the other lines. If the two lines crossed are parallel, then the alternate angles are equal.
Thus:
3x + y = 5x - 9y - 16
2x - 10y - 16 = 0
2x - 10y = 16 ----(2)
Solving simultaneously gives us:
x = 44.25° and y = 7.25°
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State the domain, the range, and the intervals over which the graphically defined function is increasing, decreasing, or constant.
The domain will be (-∞, ∞). The range will be (-1, 1]. The function will be increasing during the intervals (0, π/2) and (3π/2, 2π), and will be decreasing at the interval (π/2, 3π/2). It will be constant only at x=0 and not at any interval.
We are given a graph in the question and we have to determine its domain, range, and the intervals over which the defined function is increasing, decreasing, and constant. If we observe this graph, we can see that this is a sin(x) graph.
The domain of this graph will be from -[tex]\infty[/tex] to [tex]\infty[/tex] as we can see in the graph that it is a repeating pattern. The range for this graph will lie between -1 and 1 as it is a sin x graph. The sin x graph increases at the intervals (0, π/2) and (3π/2, 2π) and decreases at the interval (π/2, 3π/2). As we can see from the graph, it is constant only at a point where x = 0 and there is no interval at which this graph is constant.
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Which expression is not equivalent to 2/3×4
The only expression that is not equivalent to the given fraction expression is: D (2 x 1/3) + (4 x 1/3)
How to multiply fractions?The correct procedure that we will use to multiply fractions is:
- find a common denominator
- multiply the numerators
- multiply the denominators
- Simplify if necessary.
- Add the numerators and add the denominators
Looking at the options and comparing with the given fraction multiplication problem 2/3 * 4, we see that only option D is not equivalent to it because:
(2 x 1/3) + (4 x 1/3) = 6/3 = 2
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Complete question is:
Which expression is NOT equivalent to 2/3 x 4
A (2x4) /3
B 1/3 x (2x4)
C (4 x 1/3) x 2
D (2 x 1/3) + (4 x 1/3)
(x+3) (x-1)squared
????
Answer:
x^3 + x^2 - 5x + 3
-2√48 simplified is:
-8√3.
-4√3.
No solution.
None of these choices are correct.
Answer:
-8√3
Step-by-step explanation:
[tex] - 2 \sqrt{48} \\ = - 2 \sqrt{16 \times 3} \\ = - 2 \sqrt{16} \times \sqrt{3} \\ = - 2 \times 4\sqrt{3} \\ = - 8 \sqrt{3} [/tex]
Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
Answer:
9ft
Step-by-step explanation:
From the left side, you know one length is 4ft abd the one below is 5ft, when you add them together its the answer of 9ft, which is the missing side.
it's 9ft
its 9ft because when you add 4 +5 you get 9. two rectangles a present in the diagram. the 4ft and 5ft are apart of the rectangle where the missing side is, adding those two together would give you 9 and in a rectangle sides facing each other are epual therefore the missing side is 9
in the figure below, m JKM=106 degrees, m LKM=66, and KN bisects LKM. Find m JKN
The value of angle JKN is 73°.
Given that the m ∠JKM = 106 degrees, m ∠LKM = 66, and KN bisects LKM.
So we need to find the value of ∠JKN,
So, using the angles addition postulate,
∠LKM = ∠LKN + ∠MKN
Therefore,
∠LKN = 66/2 [definition of bisector]
∠LKN = 33°
Again, using the angles addition postulate,
∠JKM = ∠JKL + ∠LKM
∠JKL = 106 - 66
∠JKL = 40°
Therefore,
∠JKN = ∠JKL + ∠LKN
∠JKN = 40 + 33
∠JKN = 73°
Hence, the value of angle JKN is 73°.
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if an avocado is 1$ per pound how many is it for 9 pounds?
If an avocado costs $1 per pound, the cost of 9 pounds, using multiplication, is $9.
What is multiplication?Multiplication is one of the four basic mathematical operations, including addition, subtraction, and division.
Multiplication involves the multiplicand, the multiplier, and the product.
The cost per pound of an avocado = $1
The total quantity considered = 9 pounds
Proportionately, the total cost of 9 pounds = $9 ($1 x 9)
Thus, based on multiplication operation, the total cost of 9 pounds is $9.00.
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The percent of US citizens that use the internet on a daily basis is shown on the graph, where the year 2000 corresponds to x=0. Use the concepts of y-intercept and slope of the line to find the equation that best models the given data. Answer in slope intercept form.
An equation of the linear function represented by the graph in slope-intercept form is y = 3x + 60.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (75 - 60)/(5 - 0)
Slope (m) = 15/5
Slope (m) = 3
At data point (0, 60) and a slope of 3, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 60 = 3(x - 0)
y = 3x + 60
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
8) If Bonnie can waterproof 450 square foot of decking with 2 gallons of sealant, she will need 6 gallons (10pts)
of sealant for 1200 square foot of decking.
True
O False
Answer:
FALSSOO
Step-by-step explanation:
lol srry I pretty sure its false I did teh math
Hope its right and it helps! c:
Find the graphed inequality below
The inequality represent the given graph is y≤1.4x+2.5.
From the graph, the line passes through (0, 2.5) and (3.5, 0).
Here, slope (m) = (3.5-0)/(2.5-0)
= 3.5/2.5
= 1.4
Substitute m=1.4 and (x, y)=(0, 2.5) in y=mx+c, we get
2.5=1.4(0)+c
c=2.5
So, the equation of a line is y=1.4x+2.5
So, the inequality is y≤1.4x+2.5
Therefore, the inequality represent the given graph is y≤1.4x+2.5.
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Choose one of the topics below for your paragraph.
1. Write a paragraph about a trend that interests you and why it is popular. Give sentences
(Paragraph)
● For example, consider a trend in cars, food, or technology. Give sentences (Paragraph)
2. Write a paragraph about a popular TV program. Give sentences (Paragraph)
Who usually watches the program? Give sentences (Paragraph)
Why is it popular? Give sentences (Paragraph)
●
Answer:
1. A trend that gives me interest is the 1, 2 buckle my shoes 3, 4 buckle some more- The reason is why does it even exist and why did it get so popular is such a fast amount of time, and the way people get distracted on technology which we are using all over the world and it takes us away from the real world and makes us stay there.
2. Cocaine Bear it looks good and funny, I watched it with all my friends and they all enjoyed it with me.
Step-by-step explanation:
please help with these questions it's due tommore
7:
To find 6% of 45.50=
0.06x45.50= 2.73
and than 17% of 45.50
0.17x45.50= 7.735
so add 2.73 and 7.735= 10.465
than add 10.465 to $45.50 = $55.965 So the answer is $55.965.
8:
again the same thing but with the different numbers.
0.06x105.75= 6.345
0.20x105.75= 21.15
21.15+6.345= 27.495
so than 105.75-27.495= $78.255
9:
same thing again
146.75x0.25= 36.6875
0.09x146.75= 13.2075
But this time add the tax (13.2075)= 146.75+13.2075= 159.9575
but than you subtract the discount which is 25% so 159.9575-36.6875=123.7
So that is the price! $123.7
I hope that helps!
Help me answer the question and please explain.
Thus, radius of the smaller cylinder is found as the 0.08 cm, for the given ratio of surface areas.
Explain about the cylindrical shape:A cylinder's surface area provides information on how much space is present on the whole surface of the cylinder. If you were to use wrapping paper to wrap a can of Pringles as a birthday gift, then amount required would be equal towards the surface area of a Pringles can.
Let the surface area of smaller cylinder be s.
Let the surface area of larger cylinder be S.
ratios of surface area:
s/S = 4 / 25
Radius of larger cylinder = 0.5 cm.
As,both cylinders are similar height will be same.
The formula for the surface area = 2*π*r*h
Put the values in ratio:
2*π*r*h / 2*π*R*h = 4 / 25
r / 0.5 = 4/25
cross multiplying:
r = 0.5*4 / 25
r = 0.08
Thus, radius of the smaller cylinder is found as the 0.08 cm.
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What is the product? -4x [8 -1 -5 g]
The resulting matrix after the product is given as follows:
[-32 4 20].
What happens when a matrix is multiplied by a constant?When a matrix is multiplied by a constant, we have that every element in the matrix is multiplied by the constant. Hence, the dimension of the matrix remains constant.
The parameters for this problem are given as follows:
Constant of -4.Matrix [8 -1 -5].Hence the products are:
-4 x 8 = -32.-4 x -1 = 4.-4 x -5 = 20.Then the resulting matrix after the product is given as follows:
[-32 4 20].
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What is the domain of g(x)=log(7x−10)?
The domain of g(x) = log (7x - 10) is all real numbers greater than 10/7.
Set-builder notation: x > 10/7. Interval notation: (10/7,∞)
What is the domain of the function?Given the function in the question:
g(x) = log( 7x - 10 )
For the function g(x) = log (7x - 10), the domain consists of all the possible values of x that can be plugged into the function without resulting in an undefined expression.
Here, the logarithm (in this case, (7x - 10) must be greater than zero, since the logarithm of zero or a negative number is undefined in the real numbers.
So we set the argument of the logarithm to be greater than zero, and solve for x:
7x - 10 > 0
Solve for x
7x - 10 + 10 > 0 + 10
7x > 10
Dividing both sides by 7:
7x/7 > 10/7
x > 10/7
Therefore, the domain of g(x) = log (7x - 10) is x > 10/7
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In AABC, AB=32, AC= 22, and BC= 20. What is mZA?
m
(Do not round until the final answer. Then round to the nearest tenth as needed.)
The value of measure of ∠A would be,
⇒ ∠ A = 38.68 degree
We have to given that;
In triangle ABC,
AB=32, AC= 22, and BC= 20
Hence, We can formulate;
⇒ sin A = BC / AB
⇒ sin A = 20 / 32
⇒ sin A = 0.625
⇒ A = 38.68 degree
Thus, The value of measure of ∠A would be,
⇒ ∠ A = 38.68 degree
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Which statement is true about the system x - 3y = 5 and y = x - 7?
• (8, 1) is a solution to one equation but not the other one, so it is a solution to the system.
• (8, 1) is not a solution to either equation, so it is not a solution to the system.
• (8, 1) is a solution to one equation but not the other one, so it is not a solution to the system.
• (8, 1) is a solution to both equations, so it is a solution to the system.
The solution to the given equation is ( 8 , 1 )
Given data ,
To determine whether (8, 1) is a solution to the system, we need to check whether it satisfies both equations:
x - 3y = 5: 8 - 3(1) = 5, which is true
y = x - 7: 1 = 8 - 7, which is true
Since (8, 1) satisfies both equations, it is a solution to the system. Therefore, the correct answer is:
Hence , (8, 1) is a solution to both equations, so it is a solution to the system
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Helppp
The half-life of Radium-226 is 1590 years. If a sample contains 500 mg, how many mg will remain after 1000 years?---------
Using the exponential decay equation, we can see that after 1000 years we will have 178.43 mg of Ra₂₂₆
How much will remain after 1000 years?The decay of a radioactive substance, such as Radium-226, can be modeled by the exponential decay equation:
N(t) = N₀ * (1/2)^(t / T)
where:
N(t) is the amount of the substance remaining after time t
N₀ is the initial amount of the substance
t is the time elapsed
T is the half-life of the substance
Given that the half-life of Radium-226 is 1590 years and the initial amount is 500 mg, we can plug in these values into the equation and solve for N(1000), which represents the amount remaining after 1000 years.
N(1000) = 500 * (1/2)^(1000 / 1590)
N(1000) ≈ 178.43 mg
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