The lateral surface area of a cylinder is given by the formula:
Lateral surface area = 2πrh
where r is the radius of the cylinder and h is the height of the cylinder.
In this case, the height of the cylinder is 8 ft and the radius of the cylinder is 4 ft (half of the diameter). So, we can plug in these values to get:
Lateral surface area = 2π(4 ft)(8 ft)
Lateral surface area = 64π square feet
Rounding to the nearest tenth, we get:
Lateral surface area ≈ 201.1 square feet (rounded to one decimal place)
Therefore, the lateral surface area of the cylinder is approximately 201.1 square feet.
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What step is needed to solve this equation: -2 + x = 7?
Answer:
9
Step-by-step explanation:
Add 2 to both sides. Then you get x=9
Answer:
x=9
Step-by-step explanation:
-2+x=7
regroup
x-2=7
Add 2 to both sides
x=7+2
x=9
Hope This Helps.
Plot the 2000 parchased cost of the shell-and-tube heat exchanger outlined in Prob. 6−1 as a function of the surface area from 10 to 200 m² . Note that the purchased cost capacity exponent is not constant over the range of surface area requested.
This plot will provide a visual representation of how the purchased cost of the shell-and-tube heat exchanger changes over the specified range of surface areas.
To plot the purchased cost of the shell-and-tube heat exchanger as a function of the surface area, we need to consider the variation in the purchased cost capacity exponent.
The purchased cost of the heat exchanger can be expressed as:
C = C0 * (A)^b
where C is the purchased cost, C0 is the cost constant, A is the surface area, and b is the purchased cost capacity exponent.
Given that the purchased cost capacity exponent is not constant over the range of surface area requested (10 to 200 m²), we need to consider different values of b for different ranges of surface area.
Let's assume the following ranges and their corresponding purchased cost capacity exponents:
For 10 m² ≤ A ≤ 50 m², let b = 0.8
For 50 m² < A ≤ 100 m², let b = 0.7
For 100 m² < A ≤ 150 m², let b = 0.6
For 150 m² < A ≤ 200 m², let b = 0.5
Now, we can calculate the purchased cost for different values of surface area using the corresponding purchased cost capacity exponents.
For each range, substitute the given values of C0 and b into the cost equation to find the purchased cost for the corresponding surface area.
Once we have calculated the purchased costs for different surface areas, we can plot them on a graph with surface area (A) on the x-axis and purchased cost (C) on the y-axis.
The graph will show the variation in purchased cost as a function of surface area, considering the different purchased cost capacity exponents for different ranges.
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85 out of 200 workers in a building arrive at 8:00 a.m. What percent of workers in the building do NOT arrive at 8:00 a.m.?
Answer:
57.5 %
Step-by-step explanation:
First find out the number of workers that do not arrive by 8 am
200 -85 = 115
Take this number divided by the total
115/200 = .575
Change to percent form
57.5 %
What is the median for this list of numbers? 2, 5, 8, 9, 11, 3
Answer:
6.5
Step-by-step explanation:
Find m, so that (-3) m+1 × (-3)5 = (-3)7
The equivalent value of m is given by the expression m = 1
Given data ,
We can use the properties of exponents to solve this problem. Specifically, when we multiply two powers with the same base, we add their exponents.
So, we have:
(-3)^(m+1) × (-3)⁵ = (-3)⁷
Using the property of exponents, we can add the exponents on the left-hand side:
(-3)^(m+1+5) = (-3)⁷
Simplifying the exponents on the left-hand side:
(-3)^(m+6) = (-3)⁷
We know that two powers with the same base are equal if and only if their exponents are equal. So, we can set the exponents equal to each other:
m + 6 = 7
Subtracting 6 from both sides:
m = 1
Hence , m = 1 is the value that satisfies the equation
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What are the coordinates of the point that 1/6 of the way from A to B
Answer:
D
Step-by-step explanation:
The distance from - 2 to 10 is 12. 12/6 is 2, so 2 spaces across
Two rectangles are joined together to form a single large area. The rectangles do not overlap. The first rectangle has side lengths of 333 meters and 555 meters. The second rectangle has side lengths of 777 meters and 444 meters. What is the combined area?
Answer:
Step-by-step explanation:
333 times 555=184815
777 times 444=344988
now add 184815+344988=529803
When dividing 456.3 by 100, how should the decimal point be moved?
1. Move the decimal point three places to the right.
2. Move the decimal point two places to the right.
3. Move the decimal point three places to the left.
4. Move the decimal point two places to the left.
When dividing 456.3 by 100, how should the decimal point be moved is:
Add three places to the left of the decimal point.What is meant by decimal point ?Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point. 12.5 is a decimal number, for instance.
In mathematics, the decimal system—also known as the Hindu-Arabic number system or the Arabic number system—is a positional numeral system that uses 10 as its base and calls for the use of 10 different numbers, including 0, 1, 2, 3, 4, 5, 6, 7, and 8. To indicate decimal fractions, a dot (decimal point) is also necessary.
We use decimals on a daily basis when dealing with things like money, weight, and length. Decimal numbers are used when higher accuracy is required than full numbers can provide.
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4^0 + 5^0 + 6^0 = (4+5+6)^0
a)True
b)False
Step-by-step explanation:
false
4^0 + 5^0 + 6^0= 1+1+1=3
(4+5+6)^0= 3⁰=1
1≠3
Answer:
false
Step-by-step explanation:
anything to the power of 0 is 1 so the left side is 3 while the right side is 1
The perimeter of a triangle is 42 meters. Side a is two less than side b and side c is triple
side b. What are the lengths of the three sides?
Answer:
Step-by-step explanation:
Known fact:
perimeter: 42ma = b - 2c = 3bThe perimeter is all the sides added together and thus lets set all the side's length in terms of b
(b-2) + b+3b = 42
5b -2 = 42
b = 8
Thus:
a = b-2 = 6
b = 8
c = 3b = 24
Hope that helps!
Office-chair racing is now an official sport in Japan. Teams of 3 race around a 200-meter circuit for 2 hours to see who can complete the most laps. Tonya, an office-chair racing coach, contacts the top 5 teams and randomly assigns them to complete a practice race using one of two popular brands of office chair.
Brand A and Brand B. In a different time period, the same teams complete a practice race using the opposite brand of chair. Here are the data:
Brand A 116 107 101 97 94
Brand B 114 102 100 94 90
Calculate the mean difference (Brand A - Brand B) and the standard deviation of the differences.
The mean difference between Brand A and Brand B is 3, and the standard deviation of the differences is approximately 1.58.
To calculate the mean difference and standard deviation of the differences between Brand A and Brand B, we need to perform the following steps:
Calculate the differences between the corresponding data points of Brand A and Brand B.
Brand A - Brand B: (116 - 114), (107 - 102), (101 - 100), (97 - 94), (94 - 90)
: 2, 5, 1, 3, 4
Calculate the mean difference:
Mean difference = (2 + 5 + 1 + 3 + 4) / 5
= 15 / 5
= 3
Calculate the squared differences of each value from the mean difference:
(2 - 3)², (5 - 3)², (1 - 3)², (3 - 3)², (4 - 3)²
1, 4, 4, 0, 1
Calculate the sum of the squared differences:
1 + 4 + 4 + 0 + 1 = 10
Calculate the variance of the differences:
Variance = sum of squared differences / (number of data points - 1)
= 10 / (5 - 1)
= 10 / 4
= 2.5
Calculate the standard deviation of the differences:
Standard deviation = square root of variance
=√(2.5)
≈ 1.58
Therefore, the mean difference between Brand A and Brand B is 3, and the standard deviation of the differences is approximately 1.58.
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I NEED HELP WITH THIS I CANT GET IT HELPP
Answer:
see explanation
Step-by-step explanation:
(a) No
12.75 + 12.75 = 25.5 ≠ 0
(b) No
\(\frac{1}{2}\) = 0.5 and
0.5 + 0.5 = 1 ≠ 0
(c) Yes
The absolute value always gives a positive value , so
| - \(\frac{3}{2}\) | = \(\frac{3}{2}\) , and
\(\frac{3}{2}\) - \(\frac{3}{2}\) = 0
(2)
note + (- ) is equivalent to - , that is subtraction
- 13 + (- 5) = - 13 - 5 = - 18
Answer:
1.
a. no
b. no
c. yes
2.
-13+(-5)= -18
Step-by-step explanation:
convolution, Fourier series representation problems
w 32. Use the convolution theorem to solve the integral equation: y(t) = ? + - sinhít – sinh(t - A)g()dx 33. Find the Fourier series representation of f(x) given that f(x) = -{: -1, - < x < 0 , 0
32. Solving integral equation using the convolution theoremThe convolution theorem states that the convolution of two signals in the time domain is equivalent to multiplication in the frequency domain.
Therefore, to solve the given integral equation using the convolution theorem, we need to take the Fourier transform of both sides of the equation.
y(t) = ∫_{-∞}^{∞} sinh(−)g() + ∫_{-∞}^{∞} sinh(−−)g()Taking the Fourier transform of both sides, we haveY() = 2π[G()sinh() + G()sinh(−)]where Y() and G() are the Fourier transforms of y(t) and g(t), respectively.Rearranging for y(t), we gety(t) = (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]e^(j) d= (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)](cos()+j sin())d= (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]cos()d+ j(1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]sin()dTherefore, the solution to the integral equation is given by:y(t) = (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]cos()d + (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]sin()d
It is always important to understand the principles that govern an integral equation before attempting to solve them. In this case, we used the convolution theorem to solve the equation by taking the Fourier transform of both sides of the equation and rearranging for the unknown signal. The steps outlined above provide a comprehensive solution to the equation. 33. Fourier series representation of f(x)
The Fourier series representation of a periodic signal is an expansion of the signal into an infinite sum of sines and cosines. To find the Fourier series representation of the given signal, we need to first compute the Fourier coefficients, which are given by:an = (1/T) ∫_{-T/2}^{T/2} f(x)cos(nx/T) dxbn = (1/T) ∫_{-T/2}^{T/2} f(x)sin(nx/T) dxFurthermore, the Fourier series representation is given by:f(x) = a_0/2 + Σ_{n=1}^{∞} a_n cos(nx/T) + b_n sin(nx/T)where a_0, a_n, and b_n are the DC and Fourier coefficients, respectively. In this case, the signal is given as:f(x) = -1, -π
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HELP PLEASEEEEEEEEEEEEEEEEEEE
Answer:
Distributive property is the answer
Does a rhombus have perpendicular line segments
Answer:
A rhombus is a geometric figure that lies in a plane. It is defined as a quadrilateral all of whose sides are congruent. It is a special type of parallelogram, and its properties (aside from those properties of parallelograms) include:
Its diagonals divide the figure into 4 congruent triangles.
Its diagonals are perpendicular bisectors of eachother.
If all of a rhombus' angles are right angles, then the rhombus is a square.
Answer:yes it does have perpendicular lines
Step-by-step explanation:
What is 18x + 6 equivalent expression
Answer:
A
Step-by-step explanation:
-3×6x=-18x -3×-2=6 -18x+6
|x–5|=–5 plzz help me
Answer:
(0-5)=-5
-5-5 = 0
x=0
Step-by-step explanation:
Ping lives at the corner of 3rd street and 6th avenue. ari lives at the corner of 21st street and 18th avenue. there is a gym the distance from ping's home to ari's home. where is the gym?
The distance between ping's home to aris's home will be 1 street and 12th avenue.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given,
Ping house ⇒ 3rd street and 6th avenue
Ari's home ⇒ 21st street and 18th avenue
So, the distance between them
21 - 3 = 18 street
18 - 6 = 12 avenue.
Hence "The distance between ping's home to aris's home will be 1 street and 12th avenue".
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how to determine if a relation is a function calculator
Answer:
A relation is defined as the collection of inputs and outputs which are related to each other in some way. In case, if each input in relation has accurately one output, then the relation is called a function.
Based on the given relation, we found that it is not a function because it has repeating x-values. Remember, for a relation to be a function, each input (x-value) must correspond to exactly one output (y-value).
To determine if a relation is a function, you need to check if each input (x-value) corresponds to exactly one output (y-value). You can use the following steps:
1. Identify the given relation as a set of ordered pairs, where each ordered pair represents an input-output pair.
2. Check if there are any repeating x-values in the relation. If there are no repeating x-values, move to the next step. If there are repeating x-values, the relation is not a function.
3. For each unique x-value, check if there is only one corresponding y-value. If there is exactly one y-value for each x-value, then the relation is a function. If there is more than one y-value for any x-value, then the relation is not a function.
Let's consider an example relation: {(1, 2), (2, 3), (3, 4), (2, 5)}.
Step 1: Identify the relation as a set of ordered pairs: {(1, 2), (2, 3), (3, 4), (2, 5)}.
Step 2: Check for repeating x-values. In our example, we have a repeating x-value of 2. Therefore, the relation is not a function.
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For the function below find a) the critical numbers; b) the open intervals where the function is increasing, and c) the open intervals where it is decreasing f(x)=8x³-42x-48x + 4 a) Find the critical number(s). Select the correct choice below and, if necessary fill in the answer box to complete your choice. A. The critical number(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed
A) Function is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).
b) The local minimum value of f is; 5608/2197 at x = -42/13, and the local maximum value of f is 139/8 at x = 7/2.
(a) To determine the intervals on which f is increasing or decreasing, we need to determine the critical points and then check the sign of the derivative on the intervals between them.
f(x)=8x³-42x-48x + 4
f'(x) = 24x² - 90
Setting f'(x) = 0, we get
24x² - 90 = 0
24x² = 90
x =± √3.75
So, the critical points are;
x = -1 and x = 7/2.
We can test the sign of f'(x) on the intervals as; (-∞, -1), (-1, 7/2), and (7/2, ∞).
f'(-2) = 72 > 0, so f is increasing on (-∞, -1).
f'(-1/2) = -25 < 0, so f is decreasing on (-1, 7/2).
f'(4) = 72 > 0, so f is increasing on (7/2, ∞).
Therefore, f is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).
(b) To determine the local maximum and minimum values of f, we need to look at the critical points and the endpoints of the interval (-1, 7/2).
f(-1) = -49
f(7/2) = 139/8
f(-42/13) = 5608/2197
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PLSS HELP :((
will mark brianlist if its the correct answer ty
Answer is B
because i did it out i dont feel like explaning lol
The price of a computer was $ 375. In a sale, the price was reduced by 15%. Calculate the reduction in the price of the computer.
Answer:
318.75
Step-by-step explanation:
15% of 375 is 56.25. then you just subtract 56.25 from 375 and get 318.75
Answer:
$ 56.25
Step-by-step explanation:
Reduction = 15% of 375
\(= \frac{15}{100}*375\\\\= 0.15*375\\= $56.25\)
Exercise 10.1.3 In each case, find a scalar multiple of v that is a unit vector. a. v= f in C[0, 1] where f(x) = x2 (f, 8) So f(x)g(x)dx b. v= f in C[-a, a) where f(x) = cos x (f, 8)S*+ f(x)g(x)dx c. V= in R2 where (v, w) = yl 3 W = []}] [12] v=[-] in R?, (vw) =v* | -1 -3) [ -2 [ d. v= 3 -1 () = W
To find a scalar multiple of v that is a unit vector,
(a) For v = f in C[0, 1], where f(x) = x^2, we need to find a scalar c such that cv is a unit vector. To find c, we calculate the norm of v, which is the square root of the inner product of v with itself. Then, we divide v by its norm to obtain the unit vector.
(b) For v = f in C[-a, a), where f(x) = cos(x), we follow the same process as in case (a) to find a scalar c such that cv is a unit vector.
(c) For v = [x, y] in R^2, where (v, w) = y^3, and w = [1, -2], we need to find a scalar c such that cv is a unit vector. Here, we calculate the norm of v using the given inner product and find the scalar c by dividing v by its norm.
(d) For v = [3, -1] in R^2, we need to find a scalar c such that cv is a unit vector. Again, we calculate the norm of v and divide v by its norm to obtain the unit vector.
In each case, we find the appropriate scalar multiple of v that results in a unit vector by dividing v by its norm.
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Please help I’ll make you the brainiest
Answer:
B is the right answer
Step-by-step explanation:
1(z^8-20)
=1/z^12
Answer:
1/z¹² (3rd answer choice)
Step-by-step explanation:
z0(z2z−5)4
=
z8/z20
=
1/z¹²
Rafi has $6,629 in an account that earns 10% interest compounded annually.
To the nearest cent, how much interest will he earn in 4 years?
The amount of interest would be $3076.51 in the account after 4 years.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
A = P(1+r/100)ⁿ
Where:
A = the future value of the investment or loan
P = the principal investment or loan amount
r = the interest rate (decimal)
n = the number of compound periods
Given that Rafi has $6,629 in an account that earns 10% interest compounded annually.
p = $6,629
r = 10%
t = 4 years
A = P(1+r/100)ⁿ
Substitute the values of p,r, and t in the formula,
A = 6,629 (1 + 10/100)⁴
A = 6,629 (1 + 0.10)⁴
A = 6,629 (1.1)⁴
A ≈ 9705.51
Now, C.I. = A - P
So C.I. = 9705.51 - 6,629 = $3076.51
Therefore, the amount of interest would be $3076.51 in the account after 4 years.
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The table shows the relationship between the number of tickets bought for a concert and the price.
What is the price of each ticket?
8^3x=16^2x
Can you please solve this it is 8 to the power of 3x and 16 to the power of 2x
Answer:
2000kkkkkkkkkkklllllk
please help answer whole thing
Answer:
table Alysaa
9 : 2.5
18 : 5
27 : 7.5
36 : 10
table Brian
12 : 4
24 : 8
36 : 12
2. Alyssa will need 10 gallons of water
3. Brian will need 12 gallons of water
4. Brian's recipe requires more water
A red die is tossed and then a green die is tossed. What is the probability that the red die shows an even number and the green die shows an even number? Make sure your answer is reduced.
Answer:both dice that are being rolled is unlikely to be an even number
Answer: 1/4
Step-by-step explanation:
A publisher claims that the average salary paid at its company is $37,500 but it could differ as much as $4,500. Write and solve an absolute value inequality to determine the range of salaries at this company.
|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000