The exact volume of the given cylinder with a height of 9cm and a diameter of 10 cm is; 225π cm³
What is the volume of the cylinder?We are given;
height of cylinder; h = 9 cm
diameter of cylinder; d = 10 cm
Thus, radius; r = d/2 = 10/2 = 5 cm
Formula for volume of a cylinder is;
V = πr²h
V = π * 5² * 9
V = 225π cm³
In conclusion, the volume of the cylinder is 225π cm³
Read more about Cylinder Volume at; https://brainly.com/question/9554871
What happens to standard deviation when mean decreases
Answer:
Data are getting more concentrated around the mean
Explanation:
what does this part of the soliloquy reveal about hamlet?
Answer:What does this part of the soliloquy reveal about Hamlet? He still loves Ophelia. He believes the ghost was real. He is planning his revenge.
Explanation:
Antigone tells her sister, "’tis thine to show / if thou art worthy of thy blood or base." the word or tells you that base is being contrasted with worthy of thy blood. given that, what do you suppose base means? write your ideas here.
The word "base" as used in the passage refers to; loyalty to the family, to the family bond that Ismenia has.
What is the meaning of the word in the passage?Antigone speaks the words in the given passage to her sister Ismenia. Now, in these words, Antigone questions Ismenia's loyalty and commitment to the family by the use of the word "base" to mean family loyalty.
The reason for use of that word is because their brother was banned from receiving a decent funeral, which prevented his soul from being able to rest in peace. The king then ordered that whoever made a feneral for the brother of Ismenia and Antigona would be condemned to death. However Antígona, in loyalty to her brother, was willing to take that risk and wanted to know if Ismenia had the same loyalty.
Read more about word meaning at; https://brainly.com/question/19260764
Fundamentals of algebra practice book grade 7 pdf answer key
An example of Fundamentals of algebra practice book grade 7 question is A game-worn jersey sells for $100 more than a new jersey. Write an equation for this scenario.
What is the Fundamentals of algebra practice book about?The Fundamentals of Algebra is a book that is made for Grade 7. It is a practice book that is made up of exercise and answers that help the student to have a better knowledge of algebra.
The equation for the above scenario is:
g = game - worn jersey
The Equation therefore will be: g=100+n
Learn more about algebra from
https://brainly.com/question/22399890
What can you say about the series an in each of the following cases?
The exercise is related to the Ratio Test for Convergence. The rules for this kind of test are given below.
What are the rules for Ratio Test for Convergence?The rules are:
Using this knowledge, we are able to state that
A is not conclusive.C's convergence is absolute.There is divergence with D and E.B and F appear to be employing the nth-term test. The nth-term involves determining the sequence's limit as it approaches infinity.The nth-term test determines whether a series is divergent if the limit is bigger than 0, thus, both B and F are divergent series.
Please see the attached for the full question and the link below for more about Ratio Test for Convergence:
https://brainly.com/question/16618162
the infection that puts women at risk for cervical cancer is
Answer:
human papillomavirus (HPV)
Explanation:
Use series to approximate the definite integral i to within the indicated accuracy. i = 1/2 x3 arctan(x) dx 0 (four decimal places)
The expression [tex]\int\limits^{1/2}_0 {x^3 \arctan(x)} \, dx[/tex] is an illustration of definite integrals
The approximated value of the definite integral is 0.0059
How to evaluate the definite integral?The definite integral is given as:
[tex]\int\limits^{1/2}_0 {x^3 \arctan(x)} \, dx[/tex]
For arctan(x), we have the following series equation:
[tex]\arctan(x) = \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 1}}{2n + 1}}[/tex]
Multiply both sides of the equation by x^3.
So, we have:
[tex]x^3 * \arctan(x) = \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 1}}{2n + 1}} * x^3[/tex]
Apply the law of indices
[tex]x^3 * \arctan(x) = \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 1 + 3}}{2n + 1}}[/tex]
[tex]x^3 * \arctan(x) = \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 4}}{2n + 1}}[/tex]
Evaluate the product
[tex]x^3 \arctan(x) = \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 4}}{2n + 1}}[/tex]
Introduce the integral sign to the equation
[tex]\int\limits^{1/2}_{0} x^3 \arctan(x)\ dx =\int\limits^{1/2}_{0} \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 4}}{2n + 1}}[/tex]
Integrate the right hand side
[tex]\int\limits^{1/2}_{0} x^3 \arctan(x)\ dx =[ \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 4}}{2n + 1}} ]\limits^{1/2}_{0}[/tex]
Expand the equation by substituting 1/2 and 0 for x
[tex]\int\limits^{1/2}_{0} x^3 \arctan(x)\ dx =[ \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{(1/2)^{2n + 4}}{2n + 1}} ] - [ \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{0^{2n + 4}}{2n + 1}} ][/tex]
Evaluate the power
[tex]\int\limits^{1/2}_{0} x^3 \arctan(x)\ dx =[ \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{(1/2)^{2n + 4}}{2n + 1}} ] - 0[/tex]
[tex]\int\limits^{1/2}_{0} x^3 \arctan(x)\ dx = \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{(1/2)^{2n + 4}}{2n + 1}}[/tex]
The nth term of the series is then represented as:
[tex]T_n = \frac{(-1)^n}{2^{2n + 5} * (2n + 4)(2n + 1)}[/tex]
Solve the series by setting n = 0, 1, 2, 3 ..........
[tex]T_0 = \frac{(-1)^0}{2^{2(0) + 5} * (2(0) + 4)(2(0) + 1)} = \frac{1}{2^5 * 4 * 1} = 0.00625[/tex]
[tex]T_1 = \frac{(-1)^1}{2^{2(1) + 5} * (2(1) + 4)(2(1) + 1)} = \frac{-1}{2^7 * 6 * 3} = -0.0003720238[/tex]
[tex]T_2 = \frac{(-1)^2}{2^{2(2) + 5} * (2(2) + 4)(2(2) + 1)} = \frac{1}{2^9 * 8 * 5} = 0.00004340277[/tex]
[tex]T_3 = \frac{(-1)^3}{2^{2(3) + 5} * (2(3) + 4)(2(3) + 1)} = \frac{-1}{2^{11} * 10 * 7} = -0.00000634131[/tex]
..............
At n = 2, we can see that the value of the series has 4 zeros before the first non-zero digit
This means that we add the terms before n = 2
This means that the value of [tex]\int\limits^{1/2}_0 {x^3 \arctan(x)} \, dx[/tex] to 4 decimal points is
[tex]\int\limits^{1/2}_0 {x^3 \arctan(x)} \, dx = 0.00625 - 0.0003720238[/tex]
Evaluate the difference
[tex]\int\limits^{1/2}_0 {x^3 \arctan(x)} \, dx = 0.0058779762[/tex]
Approximate to four decimal places
[tex]\int\limits^{1/2}_0 {x^3 \arctan(x)} \, dx = 0.0059[/tex]
Hence, the approximated value of the definite integral is 0.0059
Read more about definite integrals at:
https://brainly.com/question/15127807
The character of su-jen is mainly revealed through her —
There are different kinds of character. The character of Su-Jen is mainly revealed through her thoughts.
What was the except about?The story about Su-Jen is gotten from a novel that was written about Su-Jen, a young girl who had to go all the way to China from US. along with her to meet her father.
It was a first time meeting for Su-Jen and it was an emotional one. All the character seen about Su-Jen is from her thoughts that were written out.
See options below
actions
dialogue
appearance
thoughts
Learn more about character from
https://brainly.com/question/8864308
Does the justice system neglect forgiveness answer key
Answer:
Forgiveness can and should exist within the criminal justice system.
Explanation: I hope this helps
The diagram shows a food web in an ecosystem. Which of these changes is most likely to occur in the ecosystem if all the insects and worms were affected by a disease and died?
Answer:
Not sure.
Explanation:
Do you have the actual diagram to visualize?
drag the labels to the appropriate location in the figure.
The answers to the labels in their appropriate location are:
HydrophilicHdrophobicTail face downTail face upHydrophilicHydrophobicHydrophilicWhat is hydrophilic?The term hydrophilic is known to be a term that connote the ability of an organism or object to be attracted to water.
It is also said to be the ability of a substance to be able to easily dissolve in, or be mix up and saturated by water. They are substance or objects that do interact with or are known to be influenced by water.
See full question below
Drag the labels to their appropriate locations in the figure.
First, drag labels to targets (a) and (b) to indicate whether these environments are hydrophilic or hydrophobic.
Next, drag the phospholipid layers to targets (c) and (d) to indicate how they are oriented in the plasma membrane.
Finally, drag labels to targets (e), (f), and (g) to indicate which portions of the membrane protein are hydrophilic and which are hydrophobic.
Learn more about Hydrophilic from
https://brainly.com/question/212389
Two objects are placed in thermal contact and are allowed to come to equilibrium in isolation. the heat capacity of object a is three times the heat capacity of object b and the initial temperature of object a (ta) is twice the initial temperature of object b (tb).
here is the answer below
Two identical blocks a and b are connected by a lightweight rope. block a is pulled to the right by a constant force f0. the blocks are moving to the right across a rough surface and approach point p, where the rough surface transitions to a surface with negligible friction. how does the tension, t, in the rope connecting the blocks change, if at all, as block a passes point p?
When block A passes point P, the negligible friction will lead to the tension, T, between the two blooks A and B increasing.
What happens to the tension after point P?The tension in the rope can be found by the formula:
= Coefficient of friction x Mass x Acceleration
Thanks to the transition to the surface after point P, the friction is now negligible which means that there will be an increase in acceleration.
This will increase the tension as shown by the formula for tension.
Find out more on tension at https://brainly.com/question/24994188.
Decide if the following sentence is grammatically correct or incorrect. tú diríamos la historia. correct incorrect
Answer:
Incorrect
Explanation:
Answer:
incorrect
Explanation:
edge 2021
what reaction does glucose-6-phosphatase catalyze?
Answer:
In glycolysis a separate enzyme (Hexokinase) adds a phosphate onto Glucose and is ATP dependent. The reaction catalyzed by Glucose-6-Phosphatase is a hydrolysis which in water is extremely difficult to reverse- because water is in very high concentration.
Explanation:
What did passage of the immigration act of 1965 accomplish?the law lowered the number of asians allowed to immigrate to the us.the law allowed no more immigration from european nations.the law supported victims of political persecution.the law made an effort to establish a quota system.
First dude is correct is the correct option regarding the immigration act.
What is Immigration act?The Immigration and Nationality Act of 1965 underwent a broad national overhaul. It boosted overall immigration so that for the fiscal years 1992–1994 and going beyond, 675,000 immigrants could enter the country annually.
It offered family-based immigration visas, established five unique employment-based visas that were divided up according to occupations, and instituted a diversity.
It is a visa program that established a lottery to admit immigrants from "low admittance" countries or nations whose citizens were underrepresented in the United States.
Therefore, First dude is correct is the correct option regarding the immigration act.
To learn more about Immigration, refer to the link:
https://brainly.com/question/29487746
#SPJ5
Answer: C. The law supported victims of political persecution.
Explanation:
Which detail from black boy best helps to develop the central idea that richard learns face his fears to help feed his family?
Answer:
"I hit again and again, dropping the money and the grocery list. The boys scattered, yelling, nursing their heads, staring at me in utter disbelief. They had never seen such frenzy."
Explanation:
just took test
Answer: "I hit again and again, dropping the money and the grocery list. The boys scattered, yelling, nursing their heads, staring at me in utter disbelief. They had never seen such frenzy."
Explanation:
just took test
Select the correct location on the number line. plot the on the number line.
Answer:
ladysmith
Explanation:
because is a area i live in
If the current through the 5.0-ohm resistor is 1.0 ampere, the current through the 15.0-ohm resistor is
The current through the 15 ohms resistor of the given circuit with a calculated voltage of 5 V is; 0.33 A
What is the current through the resistor?
We are given;
Current through the 5 ohm resistor; i = 1 A
Formula for Voltage is;
V = iR
V = 1 * 5
V = 5V
Now, since the 5 ohms resistor and the 15 ohms resistor are in the same circuit, it means that they will have the same voltage. Thus;
Current through the 15 ohms resistor is;
I = V/R
I = 5/15
I = 0.33 A
Read more about electric current at; https://brainly.com/question/14883923
When data are categorized as, for example, places of residence (rural, suburban, urban), the most appropriate measure of central tendency is the
If data are categorized as, for example, places of residence, the measure of central tendency to use is the median
What is the median?This is known to be the middle number in a group of sorted numbers, that are said to be ascending or descending.
From the above statement, the data of distributions that extreme values, the median is a best measure of central tendency as it will give the right accuracy we need.
Learn more about median from
https://brainly.com/question/26151333
Can you conclude that a = b if a and b are two sets with the same power set?
The sets A and sets B contains items called elements
It is true that the set A is equal to set B
How to determine the true statement?
The sets are given as:
Set A and set B
Since the sets have the same power set, then we have:
P(A) = P(B)
The above means that:
For every element X in A, then the element is also in B
And
For every element Y not in A, then the element is also not in B
So, we can conclude that:
All subsets of the set A are subsets of the set B and vice versa
Hence, the set A is equal to set B
Read more about sets at:
https://brainly.com/question/24713052
What are the solutions of x2 = 8 – 5x? startfraction 5 minus startroot 57 endroot over 2 endfraction comma startfraction 5 + startroot 57 endroot over 2 endfraction startfraction negative 5 minus startroot 57 endroot over 2 endfraction comma startfraction negative 5 + startroot 57 endroot over 2 endfraction startfraction negative 47 over 4 endfraction comma startfraction 67 over 4 endfraction startfraction negative 67 over 4 endfraction comma startfraction 47 over 4 endfraction
The solution of the equation x² = 8 - 5x is startfraction negative 5 minus startroot 57 endroot over 2 endfraction comma startfraction negative 5 + startroot 57 endroot over 2 endfraction
How to solve quadratic equation?x² = 8 - 5x
x² + 5x - 8 = 0
Using quadratic formula
x = -b ± √b² - 4ac / 2a
= -5 ± √5² - 4(1)(-8) / 2(1)
= -5 ± √25 -(-32) / 2
= -5 ± √25 + 32 / 2
= -5 ± √57 / 2
= -5 + √57 /2 or -5 -√57/2
Therefore, the correct answer is; startfraction negative 5 minus startroot 57 endroot over 2 endfraction comma startfraction negative 5 + startroot 57 endroot over 2 endfraction
-5 - √57 / 2, -5 + √57 / 2
Learn more about quadratic equation:
https://brainly.com/question/1214333
Answer:
B)
Image to help is below here, sorry if its bad quality but good luck <3
What is the difference between vertex and axis of symmetry
The vertex is the highest point if the parabola opens downward and the lowest point if the parabola opens upward. The axis of symmetry is the line that cuts the parabola into 2 matching halves and the vertex lies on the axis of symmetry.
hope it helps...!!!
Write 7 × 1 + 4 × 1/10 + 6 × 1/1000 in standard form
Answer:
7 x 1 = 7 So 7 would go in the ones place
4 x 1/10 = 0.4
4 x 1/1000 = .006
Bring these all together: 7.406
In exercises 3–6, find an explicit description of nul a by listing vectors that span the null space.
The explicit description of null A by listing vectors that span the null space.
[tex]\left[\begin{array}{ccc}{7} &&&{-4} \\{1} \\{0} \end{array}\right] \left[\begin{array}{ccc}{-6} &&&{2} \\{0} \\{1} \end{array}\right][/tex]
What is the Matrix Vector?
We are given the matrix vector;
[1 3 5 0]
[0 1 4 -2]
Now, let's find the general Ax = 0 solution for the free variables. Thus;
[A, 0] =
[1 3 5 0]
[0 1 4 -2]
Thus;
R₁ → R₁ - 3R₂
⇒ [1 0 -7 6 0]
[0 1 4 -2 0]
The general solution is:
x₁ = 7x₃ - 6x₄
x₂ = -4x₃ + 2x₄
x₃ and x₄ are free variables
x = [tex]\left[\begin{array}{ccc}x_{1} &&&x_{2} \\x_{3} \\x_{4} \end{array}\right][/tex] = [tex]x_{3} \left[\begin{array}{ccc}{7} &&&{-4} \\{1} \\{0} \end{array}\right] + x_{4} \left[\begin{array}{ccc}{-6} &&&{2} \\{0} \\{1} \end{array}\right][/tex]
Thus, Null A is;
[tex]\left[\begin{array}{ccc}{7} &&&{-4} \\{1} \\{0} \end{array}\right] \left[\begin{array}{ccc}{-6} &&&{2} \\{0} \\{1} \end{array}\right][/tex]
Read more about Matrix Vector at; https://brainly.com/question/19202525
Introduction to linear algebra 5th edition solution
Answer:
Whats your question?
What do you need help on?
I took algebra a while ago so I may be able to help you
Explanation:
Find a parametric equation of the line m through p and q
The parametric equation of the line illustrates the independent variables x, y and z
The parametric equation of the line and direction is x = 5 + t; y = -1; z = 3 -2t
How to determine the parametric equation?The question is incomplete, as the points and the lines are not given.
So, I will make use of the following assumed parameters:
The line passes through: (5, -1, 3)The direction is ~v = <1, 0, -2>The parametric equation of the line is represented as:
r<x,y,z> = Line + t<direction>
This gives
r<x,y,z> = (5, -1, 3) + t<1, 0, -2>
Express the equation in terms of x, y and z
x = 5 + t * 1
y = -1 + 0 * t
z = 3 -2 * t
Solve the equations
x = 5 + t
y = -1
z = 3 -2t
Hence, the parametric equation of the assumed line and direction is x = 5 + t; y = -1; z = 3 -2t
Read more about parametric equations at:
https://brainly.com/question/51019
Describe the importance of the clay sculpture when creating bronze sculptures. (site 1)
Which characteristic of the sun primarily determines the orbits of planets in our solar system?
Answer:
Strong Gravitational Field
Explanation:
which of the following is a clinical sign of bulimia nervosa?
Answer:
tu mamá
Explanation:
la mama de la mama de la mama de la mama de la mama de la mama de la mama de la mama de la mama