The height of the cylinder whose surface area and radius are as given in the task content is; 67 ft.
What is the surface area of the cylinder?It follows from the task content that the height of the cylinder as described by the surface area and radius above be determined.
On this note, recall that the surface area of a cylinder is given by the formula;
Surface area = 2πrh
Therefore;
6732.16 = 2 × 3.14 × 16 × h
h = 6732.16/100.48
h = 67.
Consequently, the height of the cylinder which is as described is; 67 ft.
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The width of a rectangle is 7 meters than it’s length. If the area of the rectangle is 170 square meters, what is the measure of its length and width
Answer:
[tex]\frac{\sqrt{170} }{7}[/tex]
Step-by-step explanation:
Length = x
Width = 7x
Therefore 7x into x = 170, Rectangle area formula
7x^2=170
7x=root over 170
x = root over 170/ 7
Henry reads 3/5 chapters in 5/6 hours. What is the unit rate in chapters per hour? Write your answer in simplest form.
Answer:
18/25 chapters / hour
Step-by-step explanation:
Determine if the side lengths could form a triangle. 18 m, 21 m, 39 m
Answer:
No
Step-by-step explanation:
According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third ...
18 + 21 = 38 are not more than 39
Answer:No,the side of lengths 18m,21m and 39m could not form a
Step-by-step explanation:
To form a triangle, the sum of any two sides must be greater than the third side.
here,
18m + 21m = 39m
the sum to two side is equal to third side that is 39m
that's why these three sides cannot form any triangle
Given the function f(x)=3x+1
Evaluate f(-7)=?
f(?)=-17
10% more than 4 is what
Answer: 4.4
Step-by-step explanation:
First, know that 10% is equal to 0.1. Calculate 10% of 4 and add that to 4 to find the final value:
[tex]4+4*0.1=4+0.4=4.4[/tex]
Answer: 14
Step-by-step explanation:
What is 10 more than 4 We are looking for a new number which is 10 more than 4 We will get the new number by adding 10 to 4 We write it down as: 4+10=14
A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars made. If cars are made, then the unit cost is given by the function C(x)=0.9x^2 - 414x + 59,366. What is the minimum unit cost? Do not round your answer.
The minimum unit cost of the car is $12232.1
How to determine the minimum unit cost?Given: cost function C(x)=0.9x² - 414x + 59,366
In order to find the minimum point, take the derivative of the cost function:
dC/dx = 2x - 414 (equate to zero and solve for x)
2x - 414 = 0
2x = 414
x = 414/2 = 207
Thus, the minimum point is at x =207
The minimum unit cost can be obtained by substituting x = 207 into the cost equation:
C(x) = 0.9x² - 414x + 59,366
C(207) = 0.9(207)² - 414(207) + 59,366
= 38564.1 - 85698 + 59,366
= $12232.1
Therefore, the minimum unit cost is $12232.1
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The amusement park is open from 10:00 A.M. to 6:00 P.M. How many hours could a visitor spend at the amusement park in one day?
write a equation or inequality
the park is open for 8 hours.
relative humidity is a measure, expressed as a percentage, of the amount of water vapor present in air. the following histogram summarizes the relative humidity, at noon, for a random sample of 100 days for a certain city. based on the histogram, which of the following is the best description of the distribution?
The relative humidity is a measure the average amount of vapor in the air and the random sample of 100 days refers the distribution displays a gap with a potential outlier located between 40% and 45%.
Average:
Basically, the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set is known as an average.
Given
Relative humidity is a measure, expressed as a percentage, of the amount of water vapor present in air. the following histogram summarizes the relative humidity, at noon, for a random sample of 100 days for a certain city.
Here we need to find the best description of the distribution
Basically, the relative humidity is a variable expressed as a percentage that represents the amount of water vapor present in air. It can be is used to monitor and predict weather conditions, and it is calculated based on the temperature of the air.
And it is also independent of temperature because a high temperature can have low relative humidity and vice-versa.
While we looking into the given question, there are no observed data values between 45% relative humidity and 55% relative humidity, so there is a gap displayed in the distribution.
Therefore, the value located between 40% and 45% is unusually small when compared with the other data values. And this point are known as outliers that are used to test that it is an outlier would require using the 1.5×IQR rule or using the two standard deviations rule.
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Ron wins £1 1/4 million. He gives 3/5 million to his daughter and £1/3 million to his wife. How much does he have left?
Answer:
0.31
Step-by-step explanation:
1 1/4 - 1/3 - 3/5 = 19/60
≅ 0.3166667
Identity the domain and the range of each function
a) Domain={2,3,4,5,6}, Range={0,1,2,3,4}
b)Domain={-3,-1,1,3,4}, Range={1,3,-2,2,6}
What are the domain and range of a function?
The range of values that we are permitted to enter into our function is known as the domain of a function. In a function like f, this set represents the x values (x). The collection of values that a function can take on is known as its range. The values that the function outputs when we enter an x value are in this set.
a) Domain is the set of x values:
x={2,3,4,5,6}
The range is the set of y values:
y={0,1,2,3,4}
b) Domain is the set of x values:
x={-3,-1,1,3,4}
The range is the set of y values:
y={1,3,-2,2,6}
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A farmer wants to build a rectangular pen with 80 feet of fencing. The pen will be built against the wall of the barn, so one side of the rectangle won't need a fence. What dimensions will maximize the area of the pen? Find length and width.
Factor the following expression using the common factor -3 −9z−21y−2.4
The factorization of the expression is -3(1+3z+7y+0.8)
What is factorization?Factorisation of an algebraic expression means writing the given expression as a product of its factors. These factors can be numbers, variables, or an algebraic expression.
To the factor a number means to break it up into numbers that can be multiplied to get the original number.
in the expression, -3 −9z−21y−2.4, it is discovered that -3 is a common factor in all the terms.
Therefore dividing all the terms by -3 and bring -3 out of parentheses we have -3(1+3z+7y+0.8)
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which of the following cannot be determined using only the information in the database? responses the date when a certain movie was purchased the greatest number of times the date when a certain movie was purchased the greatest number of times the number of movies purchased by an individual subscriber for a particular month the number of movies purchased by an individual subscriber for a particular month the total number of cities in which a certain movie was purchased the total number of cities in which a certain movie was purchased the total number of movies purchased in a certain city during a particular month
Answer: The answer would be B, The number of movies purchased by an individual subscriber for a particular month.
Step-by-step explanation:
Looking at the problem and graph it can be determined there is a day and date purchased. But there isn't a time frame over the course of a few months.
Using only the information in the database, we can conclude that the answer will be B, The number of movies purchased by an individual subscriber for a particular month.
There is a day and date purchased, it can be seen by looking at the problem and graph. But there isn't a timeline that spans several months. A graph is a diagram or visual representation that organizes the presentation of facts or values. The points on a graph are typically used to depict the relationships between two or more things. A straightforward two-dimensional graph is created when a vertical and horizontal line join at the origin. The y axis is vertical and the x axis is horizontal. In simple line graphs, the x and y axes are divided into evenly spaced subdivisions and assigned integer values.
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22 Of the 20 students in Kendra's class, 5 have black hair, 8 have blonde
hair, 5 have brown hair, and 2 have red hair. Kendra used the spinner to
find the experimental probability that this week's class leader will have b
blonde hair. She spun the spinner 15 times and recorded her results.
Black
Red
Brown
Blonde
Color
Black
Blonde
Number of Times
2
9
Brownelding
3
Red
1
What is the experimental probability that this week's class leader will
have blonde hair?
experimental probability = 0.6
What is experimental probability ?
Actual experiments and sufficient documentation of the occurrence of occurrences serve as the foundation for experimental probability, sometimes referred to as empirical probability. A number of real experiments are carried out in order to ascertain the likelihood of any event. Random experiments are studies that don't have a predetermined outcome. The results of such experiments are unpredictable. The likelihood of random experiments is calculated repeatedly. A trial is a repeating of an experiment that is performed a certain number of times. The experimental probability's mathematical formula is denoted by;
Probability of an Event P(E) = Number of Trials / Total Number of Occurrences of an Event
15 times were used in the experiment by Kendra.
According to the table, out of the 15 instances, we receive a blonde class leader 9 times.
Therefore, the experimental likelihood that the class leader for this week has blonde hair is = [tex]\frac{n(blonde)}{n(all trails)} =\frac{9}{15} =\frac{3}{5} = 0.6[/tex]
0.6 will be the experimental probability that this week's class leader will
have blonde hair
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2 1/4+2/5÷(−1/2)−1/4
Answer:
i believe its 1.2
Step-by-step explanation:
hopethishelpsya:)
The answer is 6/5.
When the numerator is always higher than or equal to the denominator, the fraction is said to be an improper fraction. When a fraction contains a whole number and a proper fraction is said to be a mixed fraction.
Write the given equation with mixed fraction to an improper fraction,
[tex]2\frac{1}{4}+\frac{2}{5}\div \left(\frac{-1}{2}\right)-\frac{1}{4}=\frac{9}{4}+\frac{2}{5}\div \left(\frac{-1}{2}\right)-\frac{1}{4}[/tex]
When we divide a fraction, we convert division into multiplication by turning the fraction upside down. Here, we convert the division sign before (-1/2) into multiplication by changing this fraction upside down as (-2/1).
Therefore,
[tex]2\frac{1}{4}+\frac{2}{5}\div \left(\frac{-1}{2}\right)-\frac{1}{4}=\frac{9}{4}+\left(\frac{2}{5}\times\left(\frac{-2}{1}\right)\right)-\frac{1}{4}[/tex]
Now using the BODMAS rule, solve the bracket first. Followed by multiplication, addition, and subtraction.
[tex]\begin{aligned}2\frac{1}{4}+\frac{2}{5}\div \left(\frac{-1}{2}\right)-\frac{1}{4}&=\frac{9}{4}-{\frac{4}{5}-\frac{1}{4}\\&=\frac{8}{4}-\frac{4}{5}\\&=\frac{40-16}{20}\\&=\frac{24}{20}\\&=\frac{6}{5}\end{aligned}[/tex]
Therefore, the answer is 6/5.
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The complete question is -
Simply the given expression 2 1/4+2/5÷(−1/2)−1/4
One solution each is given for four quadratic equations. Assuming that each quadratic equation has two solutions, what is the second solution for each equation?.
For the quadratic equation other solution is given by :
x = 4-5i other solution is x = 4 + 5i
x= 5 + 4i other solution is x = 5 -4i
x = -5 -4i other solution is x = -5 + 4i
x = -4 + 5i other solution is x = -4 -5i
As given in the question,
Number of quadratic equations mentioned = 4
Given one solution for each quadratic equation is given by:
x = 4-5i
x= 5 + 4i
x = -5 -4i
x = -4 + 5i
In standard form:
if the one of the solution of quadratic equation is in complex form x + iy then other solution is given by its conjugate x - iy.
Hence,
Other solution are given by :
x = 4-5i other solution is given by its conjugate x = 4 + 5i
x= 5 + 4i other solution is given by its conjugate x = 5 -4i
x = -5 -4i other solution is given by its conjugate x = -5 + 4i
x = -4 + 5i other solution is given by its conjugate x = -4 -5i
Therefore, for the quadratic equation other solution is given by :
x = 4-5i other solution is x = 4 + 5i
x= 5 + 4i other solution is x = 5 -4i
x = -5 -4i other solution is x = -5 + 4i
x = -4 + 5i other solution is x = -4 -5i
The complete question is:
One solution each is given for four quadratic equations. Assuming that each quadratic equation has two solutions, what is the second solution for each equation?.
x = 4-5i
x= 5 + 4i
x = -5 -4i
x = -4 + 5i
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what's the answer of this please say
Answer:
Below
Step-by-step explanation:
See diagram below....you are looking for 'x' in the right triangle
Use Pythagorean Theorem :
5^2 + x^2 = 13 ^2
x ^2 = 13^2 - 5^2
x ^2 = 144
x = 12 m
Yusuf sat 8 examinations.
Here are his marks for 5 of the examinations.
68 72 75 77 80
For his results in all 8 examinations
the mode of his marks is 80
the median of his marks is 74
the range of his marks is 16
Find Yusuf’s marks for each of the other 3 examinations.
Yusuf remaining observations, considering the statistical measures, are given as follows:
64, 73, 80.
What are the statistical measures in this problem?There are four statistical measures used in this problem, which are:
Median.Mode.Range.The mode is the observation that appears the most times, hence one of the remaining observations is of 80.
The median is the middle value of the data-set, which is the value of which 50% of the measures are less than and 50% of the measures are greater than.
In this problem, the data-set has an even cardinality, hence the median is the mean of the 4th and of the 5th element, hence, considering the median of 74, the missing element is given as follows:
(x + 75)/2 = 74.
x + 75 = 148
x = 73.
The range is the difference between the largest value and the smallest value in the data-set.
Considering the range of 16 and the highest value of 80, the remaining value is given as follows:
80 - x = 16
x = 80 - 16
x = 64.
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Use a graphing calculator to find A1, if it exists.
A =
-5 -4 -5
-4 -4 -3
-1 -1 -1
The [tex]A^{-1}[/tex] for the matrix is
[tex]A^{-1} = \left[\begin{array}{ccc}-1&-1&8\\1&0&-5\\0&1&-4\end{array}\right][/tex]
How to find inverse of a matrix ?
Only square matrices with an equal number of rows and columns, such as 2 *2, 3* 3, etc., allow us to find the inverse of the matrix. The adjoint of the provided matrix is divided by the determinant of the given matrix to produce the inverse matrix, to put it simply.
[tex]A^{-1} = \frac{1}{|A|} Adj A[/tex]
|A|=-5(4-3)+4(4-3)-5(4-4)
|A|=-5+4
|A|=-1
[tex]Adj A = \left[\begin{array}{ccc}1&1&-8\\-1&0&5\\0&-1&4\end{array}\right][/tex]
[tex]A^{-1} = \frac{1}{-1}\left[\begin{array}{ccc}1&1&-8\\-1&0&5\\0&-1&4\end{array}\right][/tex]
[tex]A^{-1} = \left[\begin{array}{ccc}-1&-1&8\\-1&0&-5\\0&1&-4\end{array}\right][/tex]
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simplify the expression (4a^2 +2ab) - (2a^2 -ab + b^2) what is the coefficient of the term b^2
In the simplified expression, the coefficient of the term b² is -1.
Order to solve Math OperationsWhen you solve any Math Operations, it is necessary to be attentive to the order of the operations.
First, you should solve the operation insides of Parentheses. After that priority is given to Exponents. Thereon, you can solve multiplication or division operations from left to right. Finally, addition or subtraction from left to right
See the order below
Parentheses Exponents Multiplication or Division from left to right Addition or Subtraction from left to rightThe question gives the expression (4a² +2ab) - (2a² -ab + b²). Therefore, for solving the expression you should follow the order of the math operations.
Remove the Parentheses4a² +2ab -2a² +ab - b²
Add similar terms2a²+3ab-b²
Like, there are no more similar terms. Therefore, you can represent the expression (4a² +2ab) - (2a² -ab + b²) by the expression 2a²+3ab-b².
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please help! ASAP! 50 points too whoever helps
Answer: 2050
Step-by-step explanation:
This morning, Ravi's car had 15.04 gallons of fuel. Now, 4.9 gallons are left. How much fuel did Ravi use?
gallons
Answer:
10.49
Step-by-step explanation:
We should solve this by subtracting the total amount of fuel minus the gallons left to find the gallons used.
In other words:
Subtract the total amount of fuel minus the gallons left
[tex]15.04 -4.9[/tex]
Answer:
[tex]10.49[/tex]
I hope this answers your question :)
Note: Make sure you line up the decimal places!!
if one cup of pancake mix will yield 15 pancakes, how many cups of pancake mix will be required to yield 60 pancakes? report your answer as a whole number without any decimal places.
Using the concepts of unitary method, we got that 4 cups of pancake mix will be required to yield 60 pancakes.
The unitary method is the method for solving the problem by the first value of a single unit and then finding the value by multiplying the single value.
We are given that one cup of pancake mix will yield 15 pancakes, and we are asked to yield 60 pancakes.
So,15 pancakes will be yielded by as many as pancake mix=1
therefore, 60 pancakes will be yielded by as many as pancake mix=(60/15)=4.
Hence, if one cup of pancake mix will yield 15 pancakes, then 4 cups of pancake mix will be required to yield 60 pancakes.
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The locations of student desks are mapped using a coordinate plane where the origin represents the center of the classroom. Maria's desk is located at (6, −1), and Monique's desk is located at (−3, 1). If each unit represents 1 foot, what is the distance from Maria's desk to Monique's desk?
square root of 98 feet
square root of 85 feet
square root of 6 feet
square root of 5 feet
The distance between two points of a line is given as:
Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2 }[/tex]
The distance from Maria's desk to Monique's desk is √85.
Option B is the correct answer.
What is the distance between two points of a line?The distance between two points of a line is given as:
Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2 }[/tex]
We have,
Maria's desk.
We will write the coordinates in the form of (x, y).
(6, -1) = [tex](x_1, y_1)[/tex]
Monique's desk.
We will write the coordinates in the form of (x, y).
(-3, 1) = [tex](x_2, y_2)[/tex]
The distance between Maria's desk and Monique's desk.
= [tex]\sqrt{(-3 - 6)^2 + (1+1)^2 }[/tex]
= √(81 + 4)
= √85
Thus,
The distance from Maria's desk to Monique's desk is √85.
Option B is the correct answer.
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by collecting the appropriate data, the students can determine the relationship between the acceleration of the cart and the net force exerted on the cart. which of the following graphs should the students produce to show the correct relationship?
Force is an influence that can change the motion of an object. A force can cause an object with mass to change its velocity.
Forces it to accelerate in the direction of the force , this is a vector quantity that is represented in newtons.
net force = total pulling force = weight of the hanging mass.
Force will remain constant.
acceleration = constant pulling force / total mass to be pulled.
acceleration also remain constant.
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A recipe book shows measurement conversions for ounces to cups. It shows that 4 ounces converts to 0.5 cup and 12 ounces converts to 1.5 cups. Write an equation that shows the proportional relationship between cups and ounces where c represents cups and n represents ounces. c = 0.125n c equals 4 over 0.5 times n n equals 0.5 over 4 times c n = 0.125c
The equation that represents the proportional relationship between cups and ounces is n = 0.125c
The 4 ounce = 0.5 cup
Here we have to use the unitary method
Unitary method is the method of finding the value of the single unit
One ounce = 0.5 / 4
= 0.125
Where c represents the cups and n represents the ounce
Then,
n = 0.125c
Similarly
1.5 cups = 12 ounce
1 cup = 12 / 1.5
= 8 ounce
Then,
c = 8n
Then the the correct equation is n = 0.125c
Hence, the equation that represents the proportional relationship between cups and ounces is n = 0.125c
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Answer:
n = 0.125
Step-by-step explanation:
do not listen to the other answer I don't fell like explaining but I got it correct.
Find the exact value of CSC(COS^-1(-5/8))
The exact value of CSC(COS^-1(-5/8)) is 8/[tex]\sqrt{39}[/tex].
Given:
= CSC(COS^-1(-5/8))
= 1/sin(cos^-1(-5/8)
we know identity sin(cos^-1(x)) = [tex]\sqrt{1-x^{2} }[/tex]
= 1/[tex]\sqrt{1-(-5/8)^{2} }[/tex]
= 1/[tex]\sqrt{64-25/64 }[/tex]
= 1/[tex]\sqrt{39}[/tex]/8
= 8/[tex]\sqrt{39}[/tex].
Therefore the value of CSC(COS^-1(-5/8)) is 8/[tex]\sqrt{39}[/tex].
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Let w be the vector with initial point (2,0) and terminal point (3,2). Let v be the vector with initial point (2,2) and terminal point (0,I). Find the sum of these vectors: w+v. A. (3.5) B. (5.3 С. (-1,1 D. (LI) F. None of these
The vectors combined sum is equal to (-1, 1)
Given data;
Let 'w' be the vector with an initial point (2,0) and terminal point (3,2).
Let 'v' be the vector with the initial point (2,2) and terminal point (0,1).
To find the sum of two vectors, firstly;
For 'w';
w = (3 - 2)i + (2 - 0)j
w = i + 2j → (I)
For 'v';
v = (0 - 2)i + (1 - 2)j
v = -2i + j → (II)
Now,
From (I) & (II);
w + v = (i + 2j) + (-2i + j)
= -1, 1
Hence, the sum of the vectors w + v = (-1, 1)
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There are 10 factory managers. Eighty percent of employees are not managers. How many employees does the factory have?
Explain what the point mean.
Answer:
(0,0) o girls make 0 bracelets.
(1,4) 1 girl makes 4 braclets
Step-by-step explanation: