The radius of the cylinder is found to be 6 cm.
What is a right circular cylinder?A right circular cylinder is a three dimensional figure having its base and top as a circle and the height is perpendicular to circular base. The volume is given as V = πr²h.
Given that,
The height of the cylinder is 17 cm.
And, the volume is 1921.68 cm³.
Suppose the radius be r cm.
Substitute the corresponding values in the expression of volume V = πr²h as follows,
V = πr²h
=> 1921.68 = π × r² × 17
=> π × r² = 1921.68/17
=> r² = 1921.68/17π
=> r = 6
Hence, the radius of the cylinder is obtained as 6 cm.
To know more about cylinder click on,
https://brainly.com/question/16134180
#SPJ1
A force does work on a 50 g particle as the particle moves along the following straight paths in the xy-plane: 25 j from (0 m, 0 m) to (5 m, 0 m); 35 j from (0 m, 0 m) to (0 m, 5 m); -5 j from (5 m, 0 m) to (5 m, 5 m); -15 j from (0 m, 5 m) to (5 m, 5 m); and 20 j from (0 m, 0 m) to (5 m, 5 m).
1) It is a conservative force, yes.
2) At (5m, 5m), the potential energy is 20 J.
1) If the work that a force performs when moving an item depends only on the object's initial and final positions and not on the path travelled, the force is said to be conservative.
Let's verify if this condition is met for the force in this problem:
- For moving from (0 m, 0 m) to (5 m, 5 m), the work done is 20 J (A)
Then we can go from (0 m, 0 m) to (5 m, 5 m) through a different path:
- from (0 m, 0 m) to (5 m, 0 m) (work done: 25 J)
- from (5 m, 0 m) to (5 m, 5 m) (work done: -5 J)
Total work done in the second path: 25 J + (-5 J) = 20 J --> same as (A)
We can also go from (0 m, 0 m) to (5 m, 5 m) through a different path:
- from (0 m, 0 m) to (0 m, 5 m) (work done: 35 J)
- from (0 m, 5 m) to (5 m, 5 m) (work done: -15 J)
Total work done in the third path: 35 J + (-15 J) = 20 J --> same as (A)
So, the force is conservative, since the work done does not depend on the path taken.
2) For a conservative force, the change in potential energy of the object moved by the force is equal to the work done by the force in moving the object from A to B.
Here have:
Point A: (0m, 0m)
Point B: (5m, 5m)
In this problem, the potential energy at the origin (point A) is zero, so,
[tex]W = U_{b} - U_{a}[/tex]
Also we know that the work done is W = 20 J
So, we find
[tex]U_{b} = W + U_{a}\\=20 + 0\\= 20J[/tex]
Learn more about potential energy visit: brainly.com/question/10770261
#SPJ4
Correct Question:
A force does work on a 50 g particle as the particle moves along the following straight paths in the xy-plane: 25 J from (0 m, 0 m) to (5 m, 0 m); 35 J from (0 m, 0 m) to (0 m, 5 m); -5 J from (5 m, 0 m) to (5 m, 5 m); -15 J from (0 m, 5 m) to (5 m, 5 m); and 20 J from (0 m, 0 m) to (5 m, 5 m).
Is this a conservative force?
If the zero of potential energy is at the origin, what is the potential energy at (5m, 5m)?
What is an equation of the line that passes through the points (-6,0) and (8,7)
please help! i will give brainliest!
Answer: y=1/2x+3
Step-by-step explanation:
y-0=1/2(x+6) : point-slope
x-2y=-6 : standard
Answer:
Step-by-step explanation: Plug coordinates into y=ax+b
Simultaneous equations
0=-6a+b
7=8a+b
so 7=14a
a=0.5
Then b=3
So y=0.5x+3
BRAINLIEST PLEASE THXA certain drug i made from only two ingredient: compound A and compound B. There are 7 milliliter of compound A ued for every 4 milliliter of compound B. If a chemit want to make 902 milliliter of the drug, how many milliliter of compound A are needed?
410 milliliters of compound A needed to make 902ml of the drugs.
What ratio does means?the link between two or more things in terms of quantity, amount, or size.
How to find a ratio?A/B would be your formula if you were comparing one data point (A) to another data point (B).
We know the ratio of A to B is 7:4
let x = the multiplier
then
7x = amt of compound A
and
4x = amt of compound B
7x + 4x = 902
11x = 902
x = 902/11
x = 82 is the multiplier
therefore
5(82) = 410 milliliters of compound A needed
To learn more about ratio visit:
https://brainly.com/question/13419413
#SPJ4
Moussa decides to estimate the volume of a coffee cup by modeling it as a right cylinder. He measures its height as 7.7 cm and its radius as 3.2 cm. Find the volume of the cup in cubic centimeters. Round your answer to the nearest tenth if necessary.
Answer:
247.7 cm³
Step-by-step explanation:
V = πr²h
V = 3.14159 × (3.2 cm)² × 7.7 cm
V = 247.70808 cm³
Answer: 247.7 cm³
2.
Do you think non-essentials such as entertainment costs should also be
included in your baseline monthly budget? Why or why not?
Answer:
Those must-haves should include food, clothing, housing and insurance. And it also should include emergency and retirement savings, Luber said.
Step-by-step explanation:
hope this helped:)
brainliest for the brains:)
Please help!
Determine which integer in the solution set will make the equation true.
6x − 8 = 2(2x + 3)
S: {−2, 0, 7, 9}
−2
0
7
9
The integer in the solution set will make the equation true is 7.
What is integer?The integer is a whole number which can be negative or positive or zero, they are written in fraction formate.
Given is an equation, 6x − 8 = 2(2x + 3)
Checking for x = -2, we get,
LHS = -2x6 - 8 = -12-8 = -20
RHS = 2(-2x3+3) = 2(-4+3) = 2x-1 = -2
LHS ≠ RHS
Checking for x = 0, we get,
LHS = 6x0-8 = -8
RHS = 2(2x0+3) = 2x3 = 6
LHS ≠ RHS
Checking for x = 7, we get,
LHS = 6x7-8 = 42-8 = 34
RHS = 2(2x7+3) = 2x17 = 34
LHS = RHS
Therefore, when x =7, both the expressions are equal.
Hence, the equation is true for the x =7
For more references on integers, click;
https://brainly.com/question/15276410
#SPJ1
Shayla’s family room measures 20 ft by 17 ft. There is an area rug centered in the room, 3 ft away from each wall. Shayla wants to pay a company to steam clean just the area outside the rug. If they charge $10 per square foot, how much will Shayla have to pay?
Shayla will pay a sum of $1020 for cleaning the remaining area.
What is Area?
The quantity area indicates the extent of a region on a planar or curved surface. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina.
Solution:
Area of Rectangle = Length * Breadth
Area of the Room = 20*17 = 340 sq. ft.
Area of the Rug = 17*14 = 238 sq. ft.
Area Left = 340 - 238 = 102 sq. ft.
Total Charges will be $10*102 = $1020
To learn more about Area from the given link
https://brainly.com/question/25292087
#SPJ1
Solve for x.
x+(−1.8)=−5.37
Enter your answer as a decimal in the box.
x =
Answer:
x = -3.57
Step-by-step explanation:
First, subtract the answer and the other interger: -5.37 - (-1.8). Two negatives equal a negative. So, your answer would be -3.57
To double check, you would add -3.57 + (-1.8) [-+-=-] Equals, -5.37.
I hope this helped you!
Write an equation of the line passing through point $p\left(4,-6\right)$ that is perpendicular to the line $y=-3$.
The equation of the line passing through point P(4,-6) and perpendicular to the line y = -3 is x = 4.
A number that identifies the direction and steepness of a line is its slope or gradient. The slope of the straight line is written as y=mx+c where m is the slope and c is the y-intercept.
Given the equation of a line is y = -3 and point P(4,-6).
From the given equation, we can say that y is a horizontal line. The line perpendicular to this horizontal line will be a vertical line. The equation of the line perpendicular to y is of the form x = n where n is the x-coordinate of the point passing through this line.
Here, the x-coordinate is 4 from the point (4,-6). Then, the required line is x=4.
To know more about the slope:
https://brainly.com/question/16941905
#SPJ4
Write an equation of a line that is perpendicular to y = 4x + 8 and passes through (−8, 4).
y equals negative one-fourth times x minus 7
y equals negative one-fourth times x plus 2
y = 4x + 24
y = 4x + 36
The equation the line perpendicular to the line given is y = -x/4+2
What is slope?The slope of a line is a number that describes both the direction and the steepness of the line.
Given that, a line is perpendicular to y = 4x + 8 and passes through (−8, 4).
The equation of general line is; y = mx+c, where m is the slope.
We know that, two lines perpendicular to each other will have slope negative reciprocal of each other.
Therefore, the slope of the asked line is -1/4
Finding for c,
4 = -1/4x(-8)+c
c = 4-2
c = 2
Therefore, equation will be; y = -x/4 +2
Hence, The equation the line perpendicular to the line given is y = -x/4+2
For more references on slope, click;
https://brainly.com/question/3605446
#SPJ1
multicollinearity exists when a variable is correlated to other variables. group of answer choices true false
The given statement is true, multicollinearity exists when a variable is correlated to other variables.
What is multicollinearity ?
Correlations between two or more independent variables in a multiple regression model can be referred to as multicollinearity. When a researcher or analyst tries to figure out how well each independent variable can be utilized to predict or comprehend the dependent variable in a statistical model, multicollinearity can result in skewed or misleading conclusions.
When two or more explanatory variables in a multiple regression model have strong linear relationships with one another but not with the dependent variable, this is referred to as multicollinearity.
Since a variable is multicollinear when it is correlated with other variables, the offered statement in the question is true.
To know more about multicollinearity, go to link
https://brainly.com/question/29437366
#SPJ4
please help me with this!!!
Answer:
Answer =6/100
=3/50
hope it's help uhh
what sample size is necessary if the 95% ci for p is to have a width of at most 0.14 irrespective of p?
385 Sample size is necessary is the 95% confidence Interval for p .
Sample Size:
Sample size is defined as the number of observations used to determine estimates for a given population. Sample size was drawn from the population. Sampling is the process of selecting a subset of individuals from a population to estimate characteristics of the population as a whole. The number of entities within a subset of the population is selected for analysis
According to the Question:
The Necessary Sample Size is calculated as follows:
Necessary Sample Size =
(Z-score)² * Std Dev*(1-StdDev) / (margin of error)²
For example, given a 95% confidence level, 0.5 standard deviation, and a margin of error (confidence interval) of +/- 5%. Necessary Sample Size =
= (1.96)² x 0.5(0.5)) / (0.05)²
= (3.8416 x 0.25) / .0025
= 0.9604 / 0.0025
= 384.16
So in order to get 95% confidence level, with confidence interval of +/- 5%, and standard deviation of 0.5, I have to survey 385 samples.
Learn more about sample size:
https://brainly.com/question/13450072
#SPJ4
In a triangle PQR, right-angled at Q, PR = 37 inches and angle R =
30°. Find: sin R
The required value of PQ is 18.5 inches in the given triangle PQR.
What is right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
As per the given question, let's call the length of side PR (the hypotenuse). Since we know that PR = 37 inches and angle R = 30°, we can use the sine rule to write the following equation:
sin R = perpendicular/hypotenuse
sin R = PQ/PR
sin 30° = PQ/37
1/2 = PQ/37
PQ = 37/2
Apply the division operation, and we get
PQ = 18.5
Therefore, the required value of PQ is 18.5 inches.
Learn more about the right triangle here:
brainly.com/question/6322314
#SPJ1
In a triangle PQR, right-angled at Q, PR = 37 inches and angle R =
30°. Find: PQ
a tree contains some number of leaves (degree 1 vertices) and four non-leaf vertices. the degrees of the non-leaf vertices are 10, 7, 4, and 4. how many leaves does the tree have?
The total number of leaves the tree has is :
19 where the degrees of the non-leaf vertices are 10, 7, 4, and 4.
Given:
a tree contains some number of leaves (degree 1 vertices) and four non-leaf vertices.
the degrees of the non-leaf vertices are 10, 7, 4, and 4.
how many leaves does the tree have = ?
The degree of the non leaf vertices are 10, 7, 4, 4
let the number of leaves be = k
So the tree has 4+k vertices.
and hence (4+k)-1 edge ⇒ 3+k
so ∑ deg(v) = 10+7+4+4+1k
= 25+k
and 2[E(T)] = ∑ deg(v)
2(3+k) = 25+k
6 + 2k = 25+k
2k-k = 25-6
k = 19
Hence the number of leaves the tree have is 19.
Learn more about Vertices here:
brainly.com/question/17987697
#SPJ4
how do I graph 0.75x+5 and what are the pairs
inequality question? Ryan planning a party for his parents' anniversary. The caterer charges a delivery fee of $14 on an additional $5.25 per person. If he can spend no more than $350, how many people can he invite?
Answer:47
Step-by-step explanation:
Answer:
Your answer is 47, hope it helps.
What are the 3 types of equations?
Linear equation , quadratic equation and polynomial equation are the three types of equation.
1. Linear Equations: These equations have one or more variables and can be written in the form of y = mx + b, where m is the slope and b is the y-intercept.
2. Quadratic Equations: These equations have one variable and can be written in the form of ax^2 + bx + c = 0, where a, b and c are constants.
3. Polynomial Equations: These equations have one or more variables and can be written in the form of a polynomial, such as ax^n + bx^n-1 + ... + c = 0, where a, b, c, and n are constants.
Learn more about linear equation here
https://brainly.com/question/11897796
#SPJ4
y=-3/4x and y = 1/3x - 13
x = - 3 / 4Y
y = - 117 + 4Y / 9
Help please, it’s for an assignment
{30,40,50} data set has the greatest sample standard deviation.
What is Statistics?Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.
The formula for Standard deviation is
σ=√∑(x-µ)²/n
µ is the mean.
For data set: {102,105, 108}
Mean=105
S.D=√∑(102-105)²+(105-105)²+(108-105)²/3
=√9+9/3=√18/3=√9×2/3=3√2/3=√2
For data set: {55,60,65}
Mean=60
S.D=√∑(55-60)²+(60-60)²+(65-60)²/3
=√25+25/3=5√2/3
For data set: {120,121,122}
Mean=121
S.D=√(120-121)²+(121-121)²+(122-121)²/3
=√1+1/3=√2/3
For data set: {30,40,50}
Mean=40
S.D=√(30-40)²+(40-40)²+(50-40)²/3
=√200/3
=10√2/3
Hence, {30,40,50} data set has the greatest sample standard deviation.
To learn more on Statistics click:
https://brainly.com/question/29342780
#SPJ1
I begggggg Pls help asappppppp !!!!!!!
Answer:
Translation, then reflection. E
Step-by-step explanation:
E is correct because 1 and 2 have a reflection meanwhile number 3 has a translation.
a new superman mastercard has been issued to 2000 customers. of these customers, 1500 hold a visa card, 500 hold an american express card and 40 hold a visa card and an american express card. find the probability that a customer chosen at random holds a visa card, given that the customer holds an american express card.
The probability that a customer chosen at random holds a Visa card, given that the customer holds an American Express card, is 40/500 = 0.08.
How does one determine probability?The number of possible outcomes is divided by the total number of possible outcomes to determine probability. Odds are not the same as probability. Odds are calculated by dividing the chance of a given event by the probability that it won't.
Why does probability matter?Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures and the risk of health impacts are related.
To know more about probability visit:
https://brainly.com/question/11234923
#SPJ4
Veronica is choosing between two health clubs. After how many months will the total cost for each health club be the same?
In 4 months, the total cost of Yoga Studio A would equal that of Yoga Studio B
What is total ?
Total refers to an entire or complete amount, and the verb "to total" means to combine two numbers or to destroy anything. In mathematics, you add integers to get the total; the outcome is the total. The result of adding 8 and 8 is 16.
The cost of Yoga Studio A at any given month can be represented as:
= Membership fee + (Monthly fee x Number of months)
Assuming number of months is x, the formula would be:
= 24 + (21.50 × x)
= 24 + 21.50x
Yoga Studio B would be:
= 41 + (17.25 × x)
= 41 + 17.25x
In order to find the month that these costs would be equal, equate both formulas:
24 + 21.50x = 41 + 17.25x
21.50x - 17.25x = 41 - 24
4.25x = 17
x = 17 / 4.25
x = 4 months
In conclusion, their costs would be the same in the 4th month.
To learn more about total from the given link
https://brainly.com/question/25109150
#SPJ1
If the price of 8 movie tickets is $24, what is unit rate and what is the price of 11 movie tickets?
Unit Rate: 3
11 movie tickets: $33
Step-by-step explanation:
$24/8 = 3
The unit rate is 3
3 x 11 = $33
$33 for 11 movie tickets
What is the value of x x if x3=3.4
x3
=3.4 answer as a decimal in the
The value of x in the expression, x³ = 3.4 is x = 1.50369.
What is an expression?A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations.
Given:
x³ = 3.4
Calculate the value by taking the cube root of both sides as shown below,
x = ∛3.4
x = 1.50369
To know more about the expression:
https://brainly.com/question/13947055
#SPJ1
anova is to be used in a research study using two therapy groups. for each group, scores will be taken before the therapy, right after the therapy, and one year after the therapy. how many different sample means will there be? a. two b. three c. five d. six
If Anova is used in a research study using two therapy groups , then there will be 6 different sample means , the correct option is (d) .
In the question ,
it is given that ,
Anova is used in a research study using two therapy groups ,
for each group , scores will be taken
(i) before the therapy,
(ii) right after the therapy, and (iii) one year after the therapy.
that means ,
the number of therapies group = 2 and
the number of times the measurement is taken is = 3 .
So , the number of sample means is = 2 × 3 = 6 .
Therefore , there will be 6 different sample means .
Learn more about Sample Mean here
https://brainly.com/question/26630295
#SPJ4
Someone Help me please.
Answer: 64 ounces
Step-by-step explanation:
Let's start with what we know:
1 pound = 16 ounces, so
4 pounds would equal
64 ounces!
Answer:
64 oz
Step-by-step explanation:
1lb =16oz so you multiply 16 by 4 and you get 64
Blank is the mother of the daughter of the mother of Mia's daughter?
Mia's is the mother of the daughter of the mother of Mia's daughter.
What is athematic?
Athematic is a type of language that does not use inflectional morphology. This means that words do not change their form to indicate different aspects of meaning, such as tense, person, number, gender, case, and mood. Instead, the meaning of a sentence is conveyed through the use of different words and word order. Many languages, such as English, Chinese, and Japanese, are athematic. Additionally, some languages, such as Russian, have both athematic and inflectional forms.
To learn more about athematic
https://brainly.com/question/24205483
#SPJ4
Complete Question:
_____ is the mother of the daughter of the mother of Mia's daughter.
A) Mia
B) Emely
C) Tena
D) Anna
What is range in relation and function?
The group of all possible dependent values that a function or relation can produce from its domain values is known as its range. It consists of every potential output.
In the given question we have to explain what is range in relation and function.
The range refers to all the entities (output) that result from a relation or function. The Range set is made up of all used output values (dependent values).
The group of all possible dependent values that a function or relation can produce from its domain values is known as its range. It consists of every potential output.
To learn more about domain and range link is here
brainly.com/question/20349151
#SPJ4
refer to scenario 5.2. colin decided to apply some of the things he had learned in his marketing research class to his business. the first thing he should do is to which will help him a. collect secondary data; contact the appropriate respondents. b. develop a questionnaire; collect the necessary data. c. conduct store exit interviews; give him an idea of the problem. d. define the problem to be researched; determine his data needs. e. identify a sample frame; contact the appropriate respondents.
The first thing he should do is to define the problem to be researched and determine his data needs.
what is scenario?scenario (plural scenarios) a description of the storyline of a play or book. The actual screenplay, as well as any related treatments or outlines. An example of an expected or alleged series of events, expressed as an outline or model.
Intentionally casual, unfinished, and incomplete narrative depictions of significant use circumstances occurring throughout time are called scenarios. A usage scenario describes how someone might use a present system or product. The utilization of a system or product that is currently being developed is described in a design scenario.
The first thing he should do is to define the problem to be researched and determine his data needs.
To know more about scenario visit:-
https://brainly.com/question/17129508
#SPJ4