Answer: 300π
Step-by-step explanation: Volume=(pi)(radius^2)(height)
Volume=(pi)(5^2)(12)
V=(pi)(25)(12)
V=(pi)(300)
The volume of the given cylinder is equal to 300π.
What is volume?Volume is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write volume as -
V = ∫∫∫ F(x, y, z) dx dy dz
Given is to find the volume of the cylinder shown in the image.
The volume of cylinder is given by -
V = πR²h
Here, the radius of the cylinder base is 5 units. The height of the cylinder
is 12 units. So, we can write the volume as -
V = π x 5 x 5 x 12
V = 300π
Therefore, the volume of the given cylinder is equal to 300π.
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Donna deposits $700 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first 2 years
Donna deposits $700 into an account that pays simple interest at a rate of 2% per year. Donna will be paid $28 in interest in the first 2 years.
To calculate the interest, we use the formula:
Interest = Principal × Rate × Time.
In this case, the principal (initial deposit) is $700, the rate is 2% (or 0.02), and the time is 2 years.
Plugging these values into the formula, we get:
Interest = $700 × 0.02 × 2 = $28.
Therefore, Donna will earn $28 in interest in the first 2 years.
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I need help please help out dudeeeeeeeeee
Answer: heyaa!!
Your Answer Is 6/25Step-by-step explanation:
Simplify the expression.
Hopefully this helps you <3
- Matthew :)
1. Check whether the following numbers are in proportion or not:
(i) 3, 5, 6, 10
(ii) 0.25, 0.5, 50, 100
(iii) 3, 412, 6, 923
(iv) 412, 113, 214, 23
Answer:
the answer is 18-3/9 into 3rds 13/3
Step-by-step explanation:
Answer:
5/23 into 8
Step-by-step explanation:
Somebody please help me with my geometry questions 8-10 please
Given the graph of f(x) above, find the value of integral(from 0 to 7) f(x)dx
The area under a curve between two points can be found out by doing the integral between the two points. In other words, the integral
\(\int ^7_0f(x)dx\text{ = Area betw}een\text{ x=1 and x=2 + Area betw}een\text{ x=2 and x=4 + Area betwe}en\text{ x=4 and x=5 - Area betw}een\text{ x=5 and x=7}\)Let's make a picture of the problem
Then, the integral will be equal to
\(\int ^7_0f(x)dx\text{ = Area black zone + Area red zone + Area gr}een\text{ zone - Area blue zone}\)The area of the black region is given by the area of the triangular part plus the rectangular part, that is
\(\begin{gathered} \text{ Area black zone = }\frac{1}{2}2\times1+2\times1 \\ \text{ Area black zone =}1+2 \\ \text{ Area black zone =}3 \end{gathered}\)The area of the red zone is the area of the rectangle
\(\begin{gathered} \text{ Area red zone = 2}\times2 \\ \text{ Area red zone =}4 \end{gathered}\)The green area is equal to the area of the green triangle,
\(\begin{gathered} \text{ Area gre}en\text{ zone=}\frac{1}{2}1\times2 \\ \text{ Area gre}en\text{ zone=}1 \end{gathered}\)and the blue area is the area of the blue triangle,
\(\begin{gathered} \text{ Area blue zone = }\frac{1}{2}2\times2 \\ \text{ Area blue zone = }2 \end{gathered}\)By substituting these values, the integral is given by
\(\int ^7_0f(x)dx\text{ = }3+4+1-2\)Therefore, the answer is:
\(\int ^7_0f(x)dx\text{ = }6\)the eventual success of any system solely depends on how users work with it. True or False
True, the eventual success of any system solely depends on how users work with it.
A system's success is determined by various factors, such as its design, functionality, and compatibility with user needs.
However, user engagement, adaptability, and willingness to work with the system notably contribute to its success.
Users who understand the system's features and can efficiently adapt and utilize them in their workflow contribute to its overall effectiveness.
In contrast, a system with poor user adoption and engagement may not achieve its intended outcomes, regardless of its inherent quality.
So, even if a system is well-designed and has all the necessary features, if users are unable to effectively use it, the system will not achieve its intended purpose.
Thus, user adoption and effective usage are crucial for the success of any system.
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Mr. Wash can clean 40 cars every of an
hour. Mr. Clean can clean 250 cars every 2
hours. Which car wash cleans more cars per
hour? Provide evidence.
Answer:
if you said 1/4 of an hour it would be the 40 cars, if half of an hour the 250 cars.
Step-by-step explanation:
Convert 20 mi/hour to feet per second (5280 feet = 1 mile)
Answer:
d'accord est-ce moi ou pas la même chose que j'ai fait
Answer:
29.33333... feet per second
Step-by-step explanation:
20×5280=105600 Because 1 mi=5280ft, you multiply 20 by 5280
105600÷60=1760 You divide 105600 by 60 because there are 60 minutes in an hour
1760 ÷ 60 You divide it by 60 again because there are 60 seconds in a minute
Your answer is 29.33333...
image below plz help god bless you
Answer:
The answer will be D!
Step-by-step explanation:
First, let's find the value of X:
2x + 4x + 3x = 81
9x = 81
x = 9
Then, multiply it by the biggest side which is 4:
9 x 4 = 36
The function f(x) has a vertical asymptote at x= [blank].
Answer:
The vertical assymptote is at x = 0
Step-by-step explanation:
Vertical assymptote are simply defined as lines that correspond to the points where the denominator of a rational function is zero.
From the graph, we can see that the curve remains on the y - axis at x = 0
Thus, the vertical assymptote is x = 0
1. Show that the vertices A (7, 12) B (4, 7) and C (9, 10) of the triangle is an isosceles
triangle?
2. Show that the triangle whose vertices are A (6,1) B (10,9) and (6,7) is a right
angled triangle and find its area?
Answer:
A
Step-by-step explanation:
the vertices are also available
What type of variable is the number of auto accidents reported in a given month q?
Answer:
Discrete
Step-by-step explanation:
Discrete is the type of variable in which the number of auto accidents reported in a given month q
Discrete data is a count that uses integers and has a finite number of potential values. This sort of information can't be broken down into smaller chunks. Discrete data consists of finite, numeric, countable, and non-negative integers with discrete variables.
As we know that the number of auto accidents that can be reported in a month will be always a whole number, therefore, the number of accidents can be represented as 0, 1, 2,..., 1000, etc.
Thus, the type of variable is the number of auto accidents reported in a given month is Discrete.
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Compare. Fill in the blank using <,>,or =
16. -2/3_____-1
17. -1 3/4_____1 5/6
18. -2/7______0
Write an equation in point-slope form for the line that passes through each point
with the given slope. Then graph the equation.
(2,-1),m=-3
Answer: y= 3x -5
Step-by-step explanation:
What is this answer whoever could solve it is super smart
Answer: 3.19 feet.
Step-by-step explanation: 319 divided by 100 is 3.19
What is an equation in point slope form that passes through (8,2) and has a slope of -5
Answer:
y-2 = -5(x-8)
Step-by-step explanation:
y-y₁=m(x-x₁)
Samuel wanted to rent a bike. The rental fee cost $10 dollars plus $5 for each hour. Part A. Write an expression to represent this scenario where h represents the number of hours. Part B. Write and solve an equation to determine how many hours Samuel can rent the bike if he has a $30 budget. Show your work.?
An expression to represents the Samuel wanted to rent a bike if rental fee cost $10 plus $5 for each hour is x=10 + 5h, he can rent the bike for 4hours with $30 budget.
As given,
Let x represents total rental cost
h represents number of hours
Rental fee=$10
Per hour fee=$5
Expression:
x=10 +5h
Budget x= $30
30=10 +5h
⇒ 5h=20
⇒h=4hours
Therefore, an expression to represents the Samuel wanted to rent a bike if rental fee cost $10 plus $5 for each hour is x=10 + 5h, he can rent the bike for 4hours with $30 budget.
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Find the measure of angle BAC.
Answer:
\(\angle 72=BC-86/2\)
\(144+86=BC\)
\(BC=230\)
\(BC=230/2\)
\(\angle BAC= 115\)°
~OAmalOHopeO
is -6.75 a rational number ?
Answer:
Yes, -6.75 is a rational number
Step-by-step explanation:
This is the answer because:
1) Both positive and negative numbers can be rational numbers
2) Rational numbers are any numbers that can be written as a ratio of two integers. For example, 1.8 is equal to 1810 which is rational.
Hope this helps!
Which command to produce the normal quantile plot of the data set x in R? a. >ppnorm(x) > ppline(x) b. >qqnorm(x) > ppline(x) c. >ppnorm(x)>qgline(x) d. >qqnorm(x) > qqline(x)
Answer:
The command to produce the normal quantile plot of the data set x in R is d. >qqnorm(x) >qqline(x).
The normal quantile plot is a graphical method used to assess whether a set of data is approximately normally distributed. In R, the qqnorm() function is used to create the normal quantile plot of the data set, x. This function plots the quantiles of the data against the expected quantiles of a normal distribution. If the data are normally distributed, the points on the plot will fall along a straight line. The qqline() function is used to add a reference line to the plot, which makes it easier to see deviations from the straight line. Therefore, option d, >qqnorm(x) >qqline(x), is the correct command to produce the normal quantile plot of the data set x in R.
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what is the solution set for\( - 4 \times + 10 \geqslant 5(x + 11)\)
Answer
The solution set to this inequality equation is
x ≤ -5
Explanation
We are asked to find the solution set for
-4x + 10 ≥ 5 (x + 11)
-4x + 10 ≥ 5x + 55
-4x - 5x ≥ 55 - 10
-9x ≥ 45
Divide both sides by -9 (Note that dividing both sides of an inequality equation by -9 will reverse the inequality sign)
(-9x/-9) ≤ (45/-9)
x ≤ -5
Hope this Helps!!!
-4x +
PLEASE HELP ME ASAP!! ILL GIVE YOU POINTS AND BRAINLIEST IF YOU ANSWER ALL 3 TRUE OR FALSE QUESTIONS CORRECTLY.
A) Slope=8 True or False?
B) Unit Rate= $8/hour True or False?
C) The equation of this relationship is y= 1/8x True or False?
Answer:
True, True, False.
Step-by-step explanation:
A) Rise/Run is 8/1
B) 8 dollars are earned every hour
C) Correct equation is y=8x
(05.02) In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angle.
A straight line is shown and is marked with three angles. The first angle measures 50 degrees. The second angle measures 40 degrees. The third angle is labeled x. The line between the 40 degree angle and angle x extends below the straight line. The angle formed is labeled angle y.
Write and solve an equation to determine the measure of angle y.
☁️My Answer☁️:
y = 90°
✧My Step-by-step explanation✧:
The angle x forms a straight line with the both the 50° angle and the 40° angle:
x + 50° + 40° = 180°
x = 90°
Which means…
y = x = 90°
suppose gre verbal scores are normally distributed with a mean of 459 and a standard deviation of 120. a university plans to offer tutoring jobs to students whose scores are in the top 14%. what is the minimum score required for the job offer? round your answer to the nearest whole number, if necessary.
The minimum gre score is 588.6
Define Standard normal variable
The formula z = (x-mean) / standard deviation can be used to transform any point (x) from a normal distribution to the standard normal distribution (z).The value of z for each given x value indicates how far away from the mean for all x values x is.
Given,
normally distributed with a mean μ = 459
standard deviation σ = 120
University plans to offer tutoring jobs to students whose scores are in the top = 14% or 0.14
Standard normal variable is given by,
Z = (x - μ) / σ
P(X ≥ x₁) = 0.14
⇒P( [ (x - μ)/ σ ] ≥ [ (x₁ - μ)/ σ ] ) = 0.14
⇒P( z ≥ [ (x₁ - 459)/ 120 ] ) = 0.14
⇒P( z ≥ z₁ ) = 0.14
⇒P(0 < z < z₁ ) = 0.5 - 0.14 = 0.36
From standard normal tables
z₁ = 1.08
Where, z₁ = (x₁ - 459)/ 120
1.08 = (x₁ - 459)/ 120
After solving , we get
x₁ = 588.6
Therefore, the minimum gre score is 588.6 or 589
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Find the missing side lengths. Leave your answers as radicals in simplest form.
X
45°
Solve the system.
X+y=8
2x^2 - y= -5
Answer:
third option
Step-by-step explanation:
\(( x + y = 8 ) + ( 2x^{2} - y = -5 )\\\\(x + y + 2x^{2} - y ) = 8 + (-5)\\2x^{2} + x = 3\)
can I get some assistance
Answer:
subtract 1.3 from both sides to get x> -3.2
Step-by-step explanation:
how many solutions does the system of equations have?(1 point)
3x=-12y+15 and x+4y=5
A-one
B-two
C-infinitely many
D-none
Answer:
c
Step-by-step explanation:
First, I'll isolate the x in x+4y=5 to match with the other equation.
The new equation would be x= -4y+5
Next, we will multiply one equation by 3 and the other by -1 for both to match with the other.
-1(-12y + 15 = 3x )
3(-4y + 5 = x)
The new equations would be :
12y - 15 = -3x
-12y + 15 = 3x
Add the equations and you get
0 = 0
The equation has an infinite amount of solutions
Nick has $3.90 in quarters and dimes, and the total number of coins is 27. How many quarters and how many dimes? Can I have some help with formatting?
Answer:
There are 19 dimes and 8 quarters
Step-by-step explanation: Q= Quarter and D=dimes
q+d= 27; q=.25 and d=.10;
.25q+.10d= $3.90
q= 27-d
.25(27-d)+.10d=3.90 >Distribute .25 through the parenthesis
= 6.75-.25d+.10d=3.90 >Combine like terms
= -.15d=3.90-6.75 >Subtract 6.75 from both sides of the equation
= -.15d=-2.85 >Subtract
= d=19 >Divide both sides by -.15
q= 27-d>>>>> q= 27-19
q= 8
since r is so widely used, it is appropriate to calculate r for nonlinear data.true/false
since r is so widely used, it is appropriate to calculate r for nonlinear data: False.
The calculation of r (Pearson's correlation coefficient) is based on the assumption that the relationship between the two variables is linear. Therefore, it is not appropriate to calculate r for nonlinear data as it may give misleading results.
In summary, it is not appropriate to calculate r for nonlinear data as it assumes a linear relationship between the variables. Other methods such as Spearman's rank correlation or Kendall's tau may be used for nonlinear data.
n: The correlation coefficient 'r' is specifically designed to measure the strength and direction of a linear relationship between two variables. While it is widely used, calculating 'r' for nonlinear data is not appropriate, as it will not accurately capture the true nature of the relationship between the variables.
When dealing with nonlinear data, it is better to use other statistical methods designed for such data, rather than relying on the correlation coefficient 'r'.
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