Find the area of the circle. around to the nearest tenth.
Answer:
1384.7
Step-by-step explanation:
42/2 21^2x3.14=1384.74
Hope this Helps :)
Two buildings are 18 m part. The shorter building is 12 m high while the taller one is 19 m high. Find the distance, x m between the top of the buildings.
The distance between the tops of the buildings is 28.5 meters.
To find the distance between the top of the buildings, we can use the concept of similar triangles.
Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).
We can set up a proportion based on the similar triangles formed by the buildings:
a/c = b/x
Substituting the known values:
12/18 = 19/x
To find "x," we can cross-multiply and solve for "x":
12x = 18 * 19
12x = 342
x = 342/12
x = 28.5 m
Therefore, the distance between the tops of the buildings is 28.5 meters.
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in 1932, giuseppe momo was commissioned to build the famous vatican museum double spiral staircase. suppose that it takes you one hour to stroll at a constant speed up one spiral of this staircase, which has a radius of 19 feet and a height of 40 feet and makes 4 revolutions. (a) assuming the spiral staircase is centered about the -axis, find a vector parametric equation for the helical path you take from the point to the point that makes revolutions during the time interval .
where r = 19 feet, h = 40 feet, and θ varies from 0 to 8π (4 complete revolutions) as t varies from 0 to 4.
What is equation?An equation is a mathematical statement that shows the equality of two expressions, which are separated by an equals sign (=). An equation can have variables, constants, coefficients, and operators. The variables are represented by letters, and their values can change depending on the context of the problem. The constants are fixed values, and the coefficients are the numbers that multiply the variables. The operators are mathematical symbols that indicate the operation to be performed, such as addition (+), subtraction (-), multiplication (*), division (/), and exponentiation (^). Solving an equation means finding the value(s) of the variable(s) that satisfy the equation.
Given by the question.
Let's start by defining the necessary parameters. The radius of the staircase is given as 19 feet, and the height is given as 40 feet. The staircase makes 4 complete revolutions, so the total height of the staircase is 4 times the height of one revolution, which is 40 feet.
To find a vector parametric equation for the helical path, we need to consider the circular motion around the center axis, as well as the motion along the axis. Let's define the following parameters:
r: radius of the staircase (19 feet)
h: height of one revolution (40 feet)
θ: angle of rotation around the center axis (in radians)
z: height along the center axis
The circular motion around the center axis can be described by the following parametric equation:
x = r cos(θ)
y = r sin(θ)
z =???
To find the equation for z, we need to consider the motion along the center axis. Since it takes one hour to stroll up one revolution, and there are 4 revolutions in total, the time it takes to stroll up the entire staircase is 4 hours. Therefore, we can use t as a parameter that varies from 0 to 4, and define z as:
z = (h/4) t
Note that we divide h by 4 to scale the parameter t to the interval [0,4].
Putting it all together, the vector parametric equation for the helical path is:
r(t) = <r cos(θ), r sin(θ), (h/4) t>
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Which of the following is resistant?
Correlation
LSRL
Slope
Residuals
None of the above
Out of the given options, none of them are resistant, except for the median. The median is a robust measure of central tendency that can resist the impact of outliers. Therefore, if you have a data set that has outliers, it is better to use the median instead of the mean.
Resistant refers to the property of statistical methods or measures that are not influenced by the presence of outliers or extreme values. Hence, they remain effective even after the introduction of unusual values. The term "outlier" refers to values that do not follow the expected pattern of the rest of the data. These values can have a significant impact on statistical analyses, such as correlation, linear regression, etc. Hence, it is essential to identify methods that can resist such an impact.
Out of the given options, the only term that is resistant is "median" or "median absolute deviation." The median is a measure of central tendency that is not affected by outliers. It is defined as the middle value when the data set is arranged in ascending or descending order. On the other hand, the mean is sensitive to outliers, and it can be influenced by the extreme values. Therefore, if you have a data set that has outliers or extreme values, it is better to use the median instead of the mean.
The least-squares regression line (LSRL) is a statistical method that is used to find the relationship between two variables. It is calculated by minimizing the sum of the squared differences between the predicted values and the actual values. However, it is not resistant to outliers. If an outlier is present in the data, it can significantly affect the slope of the line, which can lead to wrong predictions.
Correlation is another statistical method used to determine the relationship between two variables. It measures the strength and direction of the relationship between two variables. However, like LSRL, it is not resistant to outliers.
The residuals are the differences between the predicted values and the actual values. They are used to assess the goodness of fit of a model. However, they are not resistant to outliers, and they can be influenced by extreme values.
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Write 0.0304 in scientific notation.
A. 0.304 x 10-1 B. 3.04 x 10(2) C. 3.04 x 10(2)
Answer 3.04 x 10^-2
I hope that helps!
A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis H0: µ = 12 against H1: µ < 12 using a random sample of n = 4 specimens. Calculate the P-value if the observed statistic is Xbar (average) = 11.25. Suppose that the distribution of the sample mean is approximately normal.
Answer:
The p-value of the test is 0.0013.
Step-by-step explanation:
The test statistic is:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.
12 is tested at the null hypothesis:
This means that \(\mu = 12\)
Standard deviation of 0.5 kilograms.
This means that \(\sigma = 0.5\)
Sample of n = 4 specimens. Observed statistic is Xbar (average) = 11.25.
This means that \(n = 4, X = 11.25\)
Value of the test statistic:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
\(z = \frac{11.25 - 12}{\frac{0.5}{\sqrt{4}}}\)
\(z = -3\)
P-value:
Probability of finding a sample mean belo 11.25, which is the p-value of z = -3.
Looking at the z-table, z = -3 has a p-value of 0.0013, thus the this is the p-value of the test.
Can someone please help me with this question
Answer:
D: {-1, 0, 1, 4}; R: {-6, 3, 5, 7}D: {-1, 2, 3}; R: {3, 5, 7}D: {-2, -1, 0, 1}; R: {0, 1, 4}Step-by-step explanation:
For relations expressed as (input, output) or (x, y) pairs, the domain is the list of inputs, or x-values. The range is the list of outputs, or y-values. Yes, it is that simple. (We often like to arrange the lists in increasing order.)
__
1. Domain: {-1, 0, 1, 4}
Range: {-6, 3, 5, 7}
__
2. Domain: {-1, 2, 3}
Range: {3, 5, 7}
__
3. Domain: {-2, -1, 0, 1}
Range: {0, 1, 4}
anthony got a new video game last week and has been playing against his dad . in their game, anthony has won 3 times as often as his dad. if anthony has won 6 games , how many game have they played
Answer:
2 games
Step-by-step explanation:
6/3 = 2
Answer:
8
Step-by-step explanation:
Population of Olde Town
What is the slope for this scenario?
0-500
0.250
200
Answer:
- 250
Step-by-step explanation:
Pick two points along the line of the graph
(4,7000) and (8,6000)
Using the slope formula
m = (y2-y1)/(x2-x1)
= (6000-7000)/(8-4)
-1000/4
- 250
Answer:
-250
Step-by-step explanation:
select the correct answer from each drop down menu.  quadrilateral abcd is a parallelogram. complete the statements to prove that ab =cd and bc = ad
Due to the fact that the numbers 4 and 5 both refer to comparable triangles, the correct quadrilateral ABCD is a parallelogram.
What does a quadrilateral mean?The polygon consists of four vertices and four sides. Angles add up to 360. A form of quadrilateral with equal and parallel opposite sides is a parallelogram.
Given
A parallelogram is an ABCD quadrilateral.
Both AB and BC are parallel to CD and AD, respectively.
Consequently, it is a parallelogram's condition.
A form of quadrilateral with equal and parallel opposite sides is a parallelogram.
Here, CAB and ACD are congruent, and BCA and CAD are congruent.
Then ABC is comparable to ADC, CAB is to ACD, and BCA is to CAD.
Then ABC is comparable to ADC.
Yet AC is AC.
ADC and ABC are then congruent.
As a result, for the equivalent triangle, 4 and 5 have the same significance.
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The distance around a circle is called the ______.
A. volume
B. area
C. circumference
D. diameter
The answer is:
C. circumference
Work/explanation:
Here's the correct answer:
The distance around a circle is called the circumference.
How to find the circumference :
Use \(\sf{C=2\pi r}\) or \(\sf{C=\pi d}\)Hence, c is correct.A fancy restaurant is running a special on a three-course dinner for $30. Sales tax is 5%. Is $40 sufficient to cover the bill with tax and a 20% tip on the amount before tax?
Is $40 sufficient? (Yes/No)
Tax Amount: $
Tip Amount: $
Total cost of meal with tax and tip: $
Answer:
1. yes
2. $31.5
3. $6
4. 45.36
I had problems with this one too hope this helps
Find the missing dimension of the prism.
Answer:
10
Step-by-step explanation:
To find volume you have to multiply all 3 sides 7*8*x=560 = 56*x=560 we divide it by 56 and get x=10
You have recently been hired to survey water park! The park attractions can be found at the locations shown in the table on your grid map. Use this data to answer the questions to follow. Location Ordered Pairs Help Center (2, 3) Large Whirlpool (3, 14) Water Slide #1 (-6, 3) Water Slide #2 (16, 4) Water Slide #3 (-7, 6) Toddler Area (-3, -9) Lazy River (-7, 10) Concessions (6, -6) Gift Shop (8, -9) Restrooms (2, -9) Security Desk (5, 4) After identifying each attraction’s location with ordered pairs, you are now ready to calculate the slope between attractions using the slope formula. Help Center to Water Slide #1 Toddler Area to Concessions Gift Shop to Restrooms Security Desk to Water Slide #2 Lazy River to Large Whirlpool Now calculate the point between these attractions by applying the midpoint formula. Help Center to Water Slide #1 Toddler Area to Concessions Gift Shop to Restrooms Security Desk to Water Slide #2 Lazy River to Large Whirlpool Using your slope and end points calculate a linear equation, y = mx + b. and solve for b. Help Center to Water Slide #1 Toddler Area to Concessions Gift Shop to Restrooms Security Desk to Water Slide #2 Lazy River to Large Whirlpool
Help Center to Water Slide #1: Level line, y = 3. Toddler area to Concessions: Negative incline, y = (-1/3)x - 7. Gift Shop to Restrooms: Level line, y = -9. Security desk to Water Slide #2: Even line, y = 4. Lazy river to large Whirlpool: Positive incline, y = (2/5)x + 61/5.
How to calculate the slope between attractions using the slope formula.To calculate the slope between attractions and discover the midpoints, we'll utilize the given requested sets for each fascination. Here are the calculations:
Help Center to Water Slide #1:
Slope = ((y2 - y1) / (x2 - x1)) = ((3 - 3) / (-6 - 2)) = / -8 =
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((2 + (-6)) / 2), ((3 + 3) / 2)) = (-2, 3)
Toddler area to Concessions:
Slope = ((y2 - y1) / (x2 - x1)) = ((-6 - (-3)) / (6 - (-3)) = (-3 / 9) = -1/3
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((-3 + 6) / 2), ((-9 + (-6)) / 2)) = (1.5, -7.5)
Gift Shop to Restrooms:
Slope = ((y2 - y1) / (x2 - x1)) = ((-9 - (-9)) / (8 - 2)) = / 6 =
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((8 + 2) / 2), ((-9 + (-9)) / 2) = (5, -9)
Security desk to Water Slide #2:
Slope = ((y2 - y1) / (x2 - x1)) = ((4 - 4) / (16 - 5)) = / 11 =
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((5 + 16) / 2), ((4 + 4) / 2) = (10.5, 4)
Lazy River to Large Whirlpool:
Slope = ((y2 - y1) / (x2 - x1)) = ((10 - 14) / (-7 - 3)) = (-4 / -10) = 2/5
Midpoint = ((x1 + x2) / 2)), ((y1 + y2) / 2)) = ((-7 + 3) / 2), ((10 + 14) / 2)) = (-2, 12)
Presently, let's calculate the linear equations for each case:
Help Center to Water Slide #1:
The Slope is 0, and the y-coordinate is consistent, so the equation is y = 3.
Toddler area to Concessions:
The Slope is -1/3, and the y-intercept can be calculated utilizing the midpoint facilitates:
-7.5 = (-1/3)(1.5) + b
-7.5 = -0.5 + b
b = -7
Gift Shop to Restrooms:
The Slope is 0, and the y-coordinate is steady, so the equation is y = -9.
Security desk to Water Slide #2:
The Slope is 0, and the y-coordinate is steady, so the equation is y = 4.
Lazy River to Large Whirlpool:
The Slope is 2/5, and the y-intercept can be calculated utilizing the midpoint arranges:
12 = (2/5)(-2) + b
12 = -4/5 + b
b = 61/5
The Linear equations for each case are as follows:
Help Center to Water Slide #1: y = 3
Toddler area to Concessions: y = (-1/3)x - 7
Gift Shop to Restrooms: y = -9
Security desk to Water Slide #2: y = 4
Lazy River to Large Whirlpool: y = (2/5)x + 61/5
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rogress bar may be uneven because questions can be worth more or less (including zero) depending on your
Which of the following equations has the solution x = all real numbers?
O. 5(3x) + 6x = 3x + 15 + 2x
5(3x).+ 7x = 3x + 15 - x
5(3x) + 7x = 3x + 10 - x
5(3x) + 7x = x + 15 - 3x
The equations that has the solution x = all real numbers is 5(3x)+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x,
What is meant equation?Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.
A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.
Here given equations,
5(3x) + 6x = 3x + 15 + 2x
15x + 6x = 3x + 15 + 2x
15 x + 6x - 3x -2x = 15
16 x = 15
x = 15/16
5(3x).+ 7x = 3x + 15 - x
15 x + 7x = 3x + 15 - x
15 x + 7x - 3x + x = 15
22x - 3x + x = 15
20 x = 15
x = 15/20
x = 3/4
5(3x) + 7x = 3x + 10 - x
15x + 7x - 3x + x = 10
20x = 10
x = 10/20
x = 1/2
5(3x) + 7x = x + 15 - 3x
15x +7x - x + 3x = 15
24x = 15
x = 15/24
x = 5/8
Therefore the equations that has the solution x = all real numbers are :
5(3x).+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x .
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find the value of x so that L is parallel to M. State the converse used.
(26x-4) (15x+29)
Answer:
You use the FOIL. The correct answer is 390x^2+694x-116
Step-by-step explanation:
PLEASE MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the complete factorization of the polynomial below?
x³ + 3x2 +9x+27
OA. (x+3)(x+3)(x+3/)
B. (x+3)(x+3)(x-3/)
O C. (x-3)(x+3)(x+3/)
O D. (x-3)(x+3)(x-3i)
Answer:
(x - 3 i) (x + 3 i) (x + 3)
Step-by-step explanation:
44 = -4(1 + 4v) + 4v how do I break down and solve???
Answer:
-4=v
Step-by-step explanation:
44 = -4-16v+4v
44=-4-12v
48=-12v
-4=v
ASAPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The sum will be close to 1/4
Step-by-step explanation:
1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.
Answer: The sum will be close to 1/4
Step-by-step explanation:
You can start by making the fractions have the same denominator, (8*6) which gets you 48
You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.
12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.
Please some help!!!!!!!
The value of x = 10 and the value of y = -9
The system of equations are given that
x + y = 1
5x + 4y = 14
Here the problem can be solved by using the elimination method and substitution method.
Use the elimination method here
Multiply the first equation by 10
10x + 10y = 10
Multiply the second equation by 2
10x + 8y = 28
Subtract the equation 2 from the equation 1, then the 10x will cancel
10y - 8y = 10 - 28
2y = -18
y = -18 / 2
y = -9
Then
x + y = 1
x = 1 - y
Substitute the value of y in the equation
x = 1 - -9
x = 10
Hence, the value of x = 10 and the value of y = -9
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6a-2z
Please help me
Answer:
2(3a-z)
cannot be further simplified
Step-by-step explanation:
Mrs. Mathews buys deli meat for her kids lunches every week. This week she buys 3.75 pounds of ham. If she used 0.25 pounds of ham for each sandwich, how many sanwhiches can she make?
it's good but if u r hard-working
Answer:
15 sandwiches
If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate (in cm/min) at which the diameter decreases when the diameter is 10 cm. (Round your answer to three decimal places.)
Answer:
The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.
Step-by-step explanation:
Surface area of an snowball:
An snowball has spherical format. The surface area of an sphere is given by:
\(S = d^2\pi\)
In which d is the diameter of the sphere.
In this question:
We need to differentiate S implicitly in function of time. So
\(\frac{dS}{dt} = 2d\pi\frac{dd}{dt}\)
Surface area decreases at a rate of 9 cm2/min
This means that \(\frac{dS}{dt} = -9\)
At which the diameter decreases when the diameter is 10 cm?
This is \(\frac{dd}{dt}\) when \(d = 10\). So
\(\frac{dS}{dt} = 2d\pi\frac{dd}{dt}\)
\(-9 = 2(10)\pi\frac{dd}{dt}\)
\(\frac{dd}{dt} = -\frac{9}{20\pi}\)
\(\frac{dd}{dt} = -0.143\)
Area in cm², so diameter in cm.
The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.
Evaluate the function
f(x) = 3x^2 + 4x + 19
Find f(-7)
Answer:
Step-by-step explanation:
3
x
2
+
4
x
+
19
−
f
(
x
)
=
0
I Need Help ASAP or i will go to DETENTION!!!!!!!!
Answer:
m<FLS=108 degrees
m<SLT=72 degrees
m<ALG=18 degrees
Step-by-step explanation:
(3x) + (4x +12) = 180
x = 24
4x + 12 = 108 = m<FLS
180 - 108 = 72 = m<SLT
SLG = 72 + 90 + x
x = 18 = m<ALG
Three consecutive integers add up to -36. What are the integers?
Answer:
We know our answer is correct because 11 + 12 + 13 equals 36 as displayed Below
Explanation
3X + 3 = 36 3X + 3 - 3 = 36 - 3 3X = 33 3X/3 = 33/3 X = 11 Which means that the first number is 11, the second number is 11 + 1 and the third number is 11 + 2. Therefore, three consecutive integers that add up to 36 are 11, 12, and 13. 11 + 12 + 13 = 36 We know our answer is correct because 11 + 12 + 13 equals 36 as displayed above. Therefore, three consecutive integers that add up to 36 are 11, 12, and 13. 11 + 12 + 13 = 36
Plz mark brainliest if helps Also hope helps:)
What would the answer be?
The length of the arc CD is 14.13 centimeters.
How to find the length of CD?Remember that for an arc defined by an angle a in a circle of radius R, the length of the arc is given by:
L = (a/360°)*2*pi*R
Where pi = 3.14
Here the angle is a = 45°
And R = 18cm, so we can replace that in the formula above to find the length.
L = (45°/360°)*2*3.14*18cm = 14.13cm
That is the length of the arc CD.
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Consider the monthly payment formula M=Pr(1+r)^n/(1+r)^n-1. what is the name of the formula you get if you solve for P? what about if you solve for n? what special function do you need to use when solving for n?
WRITTEN RESPONSE QUESTION PLEASE ANSWER ASAP WILL AWARD BRAINLIEST.
Answer:
0.0061
Step-by-step drip check:
The name of the formula you get if you solve for P could be "Principal (loan amount)" "Term of the loan (in months)" or "Number of monthly payments"
Logarithms;
\(n = \dfrac{ ln[1 - \dfrac{Pr}{M} ]}{ln(1+r)}\)
What is Monthly Payment Formula?Consider the monthly payment formula
\(M= \dfrac{Pr(1+r)^n}{(1+r)^n-1}\)
where: M = monthly payment.
P = principal loan amount.
r = interest rate per month (in decimal form).
n = term of the loan (in months).
If we will solve for P, the name of the formula is "Principal (loan amount)".
If we solve for n, the formula is "Term of the loan (in months)" or "Number of monthly payments".
When solving for n, we have to use logarithms:
\(M (1+r)^n-1=Pr(1+r)^n\\\\\dfrac{1}{ (1+r)^n} = 1 - \dfrac{Pr}{M} \\\\ln\dfrac{1}{ (1+r)^n} = ln[1 - \dfrac{Pr}{M} ]\\\\\\n = \dfrac{ ln[1 - \dfrac{Pr}{M} ]}{ln(1+r)}\)
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Let's assume our class is truly representative of the population at large. (a) Calculate the probability of having three right handed people in a sample of 10. Do this using R. (b) repeat, but this time calculate the probability of 3 or less right handed people in a sample of 10.n=17 right handed= 15 left handed=2
Answer:
0.1171875;
0.171875
Step-by-step explanation:
It is either a person is right handed or left handed
P(right handed) = 1/2
Probability of having 3 right handed people in a sample of 10 ;
P(x =x) = nCx * p^x * (1 - p)^(n - x)
P(x = 3) = 10C3 * 0.5^3 * 0.5^7
P(x = 3) = 120 * 0.125 * 0.0078125
P(x = 3) = 0.1171875
Using R ;
P(x ≤ 3)
We can obtain these from R using ;
pbinom( r, n, p)
pbinom(3, 10, 0.5) = 0.171875
n employee makes $161 per hour but is getting a 45% increase. What is his new wage per hour to the nearest cent?
Answer:
The answer is $234
Step-by-step explanation:
Given;An employee makes $161 per hour.Increase of 45% every hour.To Find;His new wageFirst, find the 45% of $161.
161 × 45 ÷ 100 = $72.5
Now,
$161 + $72.5 = $233.5 = $234
Thus, His new wage will be $234
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