Answer:
He Spent 24.0624 Dollars
Step-by-step explanation:
25.86-25.68*7%=24.0624 Dollars
Hope This Helps!
which expression is equivalent to cos(pi/12)cos(5pi/12)+sin(pi/12)sin(5pi/12)?
a. cos(-pi/3)
b. sin(-pi/3)
c. cos(pi/2)
d. sin(pi/2)
Answer:
A: cos(-pi/3)
Step-by-step explanation:
just did the unit test review on EDGE
The trigonometric expression cos(π/12) cos(5π/12) + sin(π/12) sin(5π/12) is equivalent to cos(- π/3). Then the correct option is A.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ cos(π/12) cos(5π/12) + sin(π/12) sin(5π/12)
We know that the formula of cosine.
cos (a - b) = cos a · cos b + sin a · sin b
Then the expression will be
⇒ cos(π/12) cos(5π/12) + sin(π/12) sin(5π/12)
⇒ cos(π/12 - 5π/12)
⇒ cos(π - 5π/12)
⇒ cos(-4π/12)
⇒ cos(- π/3)
The trigonometric expression cos(π/12) cos(5π/12) + sin(π/12) sin(5π/12) is equivalent to cos(- π/3).
Then the correct option is A.
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Chase and Simon (1973) studied the memory of chess novices and experts for positions of chess pieces on a chessboard. Although experts generally have a far better memory for chess positions than do novices, they found that the novices performed as well or better than the experts when asked to recall random arrangements of chess pieces on the chessboard. The random arrangements included arrangements that could not possibly occur in a real game of chess. Why did novices do as well as experts when the pieces were arranged at random
Chase and Simon (1973) conducted a study on the memory of chess novices and experts for positions of chess pieces on a chessboard. They found that although experts generally have a better memory for chess positions than novices, novices performed equally or even better than experts when asked to recall random arrangements of chess pieces on the chessboard, even if the arrangements couldn't occur in a real game of chess.
One possible explanation for this phenomenon is that experts rely heavily on their knowledge of typical chess positions and patterns to remember the positions of the pieces. However, when the pieces are arranged randomly, these patterns are disrupted, and experts may struggle to apply their existing knowledge effectively. On the other hand, novices may not have developed strong patterns or strategies yet, so they approach the task with a more flexible mindset and are less affected by the random arrangement. They may use more general memory strategies, such as chunking or grouping the pieces together, which can be useful for recalling random arrangements.
In summary, novices may perform as well as experts when the pieces are arranged randomly because they rely less on established patterns and can use more general memory strategies to recall the positions.
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Which is greater, 4 4/10 or 32/10? Explain how u know.
Answer:
4 4/10
Step-by-step explanation:
Well, 32/10 would by 3 2/10 when you divide it, I think. So 4 4/10 is greater.
Fractions may be equal or unequal.
\(\mathbf{4\frac{4}{10}}\) is greater than \(\mathbf{\frac{32}{10}}\)
The fractions are given as:
\(\mathbf{F_1 = 4\frac{4}{10}}\)
\(\mathbf{F_2 = \frac{32}{10}}\)
Express the fractions as improper fractions
\(\mathbf{F_1 = \frac{44}{10}}\)
Both fractions have the same denominator.
So, the fraction with a greater numerator is greater.
By comparison: 44 is greater than 32
i.e. 44 > 32
Hence, \(\mathbf{4\frac{4}{10}}\) is greater than \(\mathbf{\frac{32}{10}}\)
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Salima wants to buy 10 rolls of wallpaper. She sees these prices. Wallpaper Single roll Pack of 3 rolls Pack of 5 rolls What is the cheapest price for 10 rolls? £9.20 £25.50 £43.05
The cheapest price for ten (10) rolls would be = £25.50. That is option B.
What are wallpapers?The wallpapers are those designed paper materials that are used in decoration of a room.
The total number of wall paper that Salima needs to buy= 10 rolls.
A single roll of wallpaper = £9.20
A pack of 3 rolls= £25:50
That is 1 roll = X
make X the subject of formula;
£x = 25.50/3
£x = £8.5
A pack of 5 rolls = £43.05
That is 1 roll = X
make X the subject of formula;
£x = 43.05/3
£x = 14.35
Therefore, the cheapest price that can be used to buy 10 rolls would be = £25.50 because one roll would be = £8.5.
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Answer:
Pack of 3 rolls (total of £85.70
Step-by-step explanation:
25.5+25.5+25.5+9.20= £85.70
D²y(t) + 12 Dy(t) + 36y(t) = 2 e-5t y(0) = 1, Dy(0)=0 Solve the differemtial equation using Classical Method (30pts) and Laplace Transform Method(30pts)
The solution to the differential equation D²y(t) + 12 Dy(t) + 36y(t) = 2 \(e^{(-5t)}\), with initial conditions y(0) = 1 and Dy(0) = 0, is \(y(t) = (1 + 6t) e^{(-6t)}\).
To solve the given differential equation using the classical method, we can assume a solution of the form \(y(t) = e^{(rt)}\) and find the values of r that satisfy the equation. We then use these values of r to construct the general solution.
Using the classical method:
Substitute the assumed solution \(y(t) = e^{(rt)}\) into the differential equation:
D²y(t) + 12 Dy(t) + 36y(t) = \(2 e^{(-5t)}\)
This gives the characteristic equation r² + 12r + 36 = 0.
Solve the characteristic equation for r by factoring or using the quadratic formula:
r² + 12r + 36 = (r + 6)(r + 6)
= 0
The repeated root is r = -6.
Since we have a repeated root, the general solution is y(t) = (c₁ + c₂t) \(e^{(-6t)}\)
Taking the first derivative, we get Dy(t) = c₂ \(e^{(-6t)}\)- 6(c₁ + c₂t) e^(-6t).\(e^{(-6t)}\)
Using the initial conditions y(0) = 1 and Dy(0) = 0, we can solve for c₁ and c₂:
y(0) = c₁ = 1
Dy(0) = c₂ - 6c₁ = 0
c₂ - 6(1) = 0
c₂ = 6
The particular solution is y(t) = (1 + 6t) e^(-6t).
Using the Laplace transform method:
Take the Laplace transform of both sides of the differential equation:
L{D²y(t)} + 12L{Dy(t)} + 36L{y(t)} = 2L{e^(-5t)}
s²Y(s) - sy(0) - Dy(0) + 12sY(s) - y(0) + 36Y(s) = 2/(s + 5)
Substitute the initial conditions y(0) = 1 and Dy(0) = 0:
s²Y(s) - s - 0 + 12sY(s) - 1 + 36Y(s) = 2/(s + 5)
Rearrange the equation and solve for Y(s):
(s² + 12s + 36)Y(s) = s + 1 + 2/(s + 5)
Y(s) = (s + 1 + 2/(s + 5))/(s² + 12s + 36)
Perform partial fraction decomposition on Y(s) and find the inverse Laplace transform to obtain y(t):
\(y(t) = L^{(-1)}{Y(s)}\)
Simplifying further, the solution is:
\(y(t) = (1 + 6t) e^{(-6t)\)
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Sandra signed up for the gym during the spring special. Her credit card was charged $220.87. Is this the correct amount? Explain.
Answer:
No the she should have been charged $203.88 the reason is if you times 12 by 16.99 you will get 203.88 not 220.87
The amount in credit card is enough to pay 12 months gym charge.
Given that, the charge for one month is $16.99.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Number of months = 12
Let the total charge for 12 months be x.
Now, x = 16.99×12
= $203.88
Therefore, the amount in credit card is enough to pay 12 months gym charge.
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what is the value of F(6) in the function below?
F(x)=2^x
A. 12
B. 64
C. 16
D. 32
Answer:
B. 64
Step-by-step explanation:
If x is 6, we replace the x in the equation with 6.
f(x)=2^6
Multiply 2 by itself
2×2×2×2×2×2=64
What is the graph of g?
Answer:
Vertical Compression by factor of 1/4
Step-by-step explanation:
Two methods:
Method 1. Transformations
Method 2. Algebraic input-output tables
Method 1. Transformations
The Main concept of this question is about Transformations of functions -- specifically, multiplying on the outside by a positive number less than 1.
The transformation that occurs when multiplying a function by a positive number on the outside of the function is a vertical stretch or compression.
Positive numbers larger than 1 will stretch it vertically, whereas positive numbers smaller than 1 will compress it vertically.
Therefore, multiplying by 1/4 on the outside, a positive number less than 1, will vertically compress the function down to one-fourth the size.
This means that for g(x), all points on the original function f will have their heights reduced to 1/4 their original height (or depth) -- making all points on g(x) 1/4 their previous distance from the x-axis on the "f" function.
Method 2. Algebraic input-output tables
Observe on the graph three points on the function f:
(0,0), (1,4) and (3,0) --- points on the function "f"In function notation, this means \(f(0)=0\), \(f(1)=4\), and \(f(3)=0\)Using the equation relating f and g, \(g(x)=\frac{1}{4}f(x)\), we can find how those points would look like on the new function g(x).
For \(f(0)=0\)
\(g(0)=\frac{1}{4}[f(0)]\\g(0)=\frac{1}{4}[0]\\g(0)=0\)
For \(f(1)=4\)
\(g(1)=\frac{1}{4}[f(1)]\\g(1)=\frac{1}{4}[4]\\g(1)=1\)
For \(f(3)=0\)
\(g(3)=\frac{1}{4}[f(3)]\\g(3)=\frac{1}{4}[0]\\g(3)=0\)
These known points should correctly identify the graph from the possible choices.
How do I convert a string to an int in Matlab?.
In MATLAB, you can convert a string to an integer using the str2double() or str2num() function. Both functions convert a string to a double-precision floating-point number, but str2num() also supports the conversion of strings to other numeric data types.
Here's an example of how to convert a string to an integer using str2double():
str = '123'; % string to convert to integer
num = str2double(str); % convert the string to a double-precision number
int = int32(num); % convert the double-precision number to a 32-bit integer
In this example, the str variable contains the string '123', which we want to convert to an integer. We first use the str2double() function to convert the string to a double-precision number, which we then convert to a 32-bit integer using the int32() function.
Alternatively, you can use the str2num() function to convert the string directly to an integer:
str = '123'; % string to convert to integer
int = int32(str2num(str)); % convert the string to a 32-bit integer
In this example, we use the str2num() function to convert the string directly to a 32-bit integer, and then assign the result to the int variable.
It is important to note that if the string cannot be converted to a number, both functions will return NaN (Not a Number). Additionally, if the string represents a number that is too large to be represented by an integer, the result will be rounded or truncated.
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determine the fall (drop) on 20' of drainage piping with a 1/4" per ft. grade
The Fall (drop) of drainage piping is: A. 5".
Fall (drop) of drainage pipingIn order to determine the fall (drop) of drainage piping we would need to multiply the drainage piping by the inch per feet.
Hence:
Using this formula
Fall (drop) of drainage piping = Drainage piping× inch per feet
Where:
Drainage piping=20
Inch per feet=1/4"
Let plug in the formula
Fall (drop) of drainage piping =20×1/4"
Fall (drop) of drainage piping =5"
Therefore the correct option is A. 5".
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Find the mean of thefollowing probability distribution. x 0 1 2 3 4 P(x) 0.19 0.37 0.16 0.26 0.02
The mean of this probability distribution is 1.55.
To find the mean of a probability distribution, we need to multiply each possible value by its corresponding probability, and then add up these products. So, the mean is:
mean = (0)(0.19) + (1)(0.37) + (2)(0.16) + (3)(0.26) + (4)(0.02)
= 0 + 0.37 + 0.32 + 0.78 + 0.08
= 1.55
Therefore, the mean of this probability distribution is 1.55.
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I need help ASAP plss!!
Answer:
c. 8.359
Step-by-step explanation:
i hope this helps :)
4. The number 4 is the smallest positive integer that has exactly three factors: 1, 2, and 4. If kis the next-
highest integer that also has exactly three factors, what is the sum of the three factors of K?
F. 13
G. 14
H. 16
J. 18
K. 20
Answer: F: 13
Step-by-step explanation:
All positive integer having exactly 3 factors are square of a prime number:
2²,3²,5²,7²,11²,13²,17²,...
The next highest integer that also has exactly three factors is 3²=9
Sum of divisors=1+3+9=13
Answer 13
8 identically sized squares of paper have been placed on top of one another.which one is at the bottom?
Since 8 is at the bottom where 8 equally sized squares of paper have been stacked on top of one another, the sequence is 82543671, therefore 8.
What is sequence?A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important.
Similar to a set, it has members (also called elements, or terms).
The length of the series is the number of elements (potentially infinite). In contrast to a set, the same items might appear more than once in a sequence at various points, and unlike a set, the order is important.
A sequence can be described formally as a function from natural numbers (the positions of the sequence's elements) to the items at each of those positions.
An indexed family, which is a function from any index set, can be thought of as a generalization of the idea of a sequence.
For instance, the letter combinations (M, A, R, and Y) have the.
According to our question-
It is evident from the figure that 1 is a top.
I must locate Bottom 1.
6 is less than 7
If 3 weren't below 6, then 6 wouldn't be visible.
In the absence of 4, half of 3 would have been covered.
Unless 5 is below 4, 4 would have been covered.
Unless 2 is less than 5, half of 5 would have been covered.
If 8 were above 2, 2 would have been covered.
The sequence is 82543671.
therefore 8 is at the bottom.
Hence, Since 8 is at the bottom where 8 equally sized squares of paper have been stacked on top of one another, the sequence is 82543671, therefore 8.
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May I get some help on this please?
Answer:
2
Step-by-step explanation:
The answer is the second explanation I think
Answer:
it's the 2nd answer
Step-by-step explanation:
basically I just found the range and it kinda gave me the answer (range is the difference between the highest and lowest number, so 24-9=15)
will give brainliest What are the coordinates of Point A?
A) (1, 2)
B) (-1, 2)
C) (2, 1)
D) (1, -2)
Answer:
A= (1,2)
Step-by-step explanation:
I hope this helps
have a nice day/night
mark brainliest please :)
Answer:
A) (1, 2)
Explanation:
The origin is (0, 0), where the y-axis and the x-axis intercept (the two lines). You find the coordinates by measuring the point's distance on the both lines from the origin. On the x-axis, (horizontal, the one that goes from left to right) the point is 1 unit to the right, so the x is 1. On the y-axis (vertical, the one that goes from up to down), the point is 2 units to the right, so y is 2. The combined coordinate is (1, 2).
simplify 11 root square 8
11) √8
Answer: 2.82842712 or 2\(\sqrt{2}\)
Step-by-step explanation:
HELP FOR BRAINLIEST!! ASAP PLS
Using the linear function, the monthly cost for 6 HCF is $36.72.
What is the monthly cost for 6 HCF?If the monthly water bill is a linear function with a slope of 1.65, it means that for every additional HCF used, the cost increases by $1.65.
Let's denote the monthly cost as C(HCF) and the number of HCF used as HCF. We know that C(12) = $46.62.
Now, to find the monthly cost for 6 HCF (C(6)), we can use the slope information:
C(12) = $46.62
C(12) - C(6) = $46.62 - C(6) = (12 HCF - 6 HCF) * 1.65
C(6) = $46.62 - (6 HCF * 1.65)
Now, let's calculate:
C(6) = $46.62 - (6 * 1.65)
C(6) = $46.62 - 9.90
C(6) = $36.72
So, the monthly cost for 6 HCF is $36.72.
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There are 4 triangles and 6 squares. What is the simplest ratio of triangles to squares?
Answer:
4:6 = 2:3
2:3 is the simpilest ratio
Answer:
2 to 3 2/3
Step-by-step explanation:
4 triangles divided by 2 is 2
6 divided by 2 is 3
2/3
How many terms are in the expression? 4x+3x-2y,3y?
Which expression is equivalent to ?
Answer:
I think the answer would therefore be F.
Would five smaller boxes fit inside the larger one?
Answer:
Yes
Step-by-step explanation:
Please help it says split the problem into two equations
Answer:
0
Step-by-step explanation:
(-:+9:+9-79-9-97-79:97-)7-+/
if a distribution of scores is shown in a bar graph, you know that the scores were measured on a(n) _________ scale of measurement.
If a distribution of scores is shown in a bar graph, it suggests that the scores were measured on an ordinal scale of measurement.
An ordinal scale is a type of measurement scale that categorizes and orders variables or data points based on their relative ranking or position. In this case, the bar graph represents the frequencies or counts of different categories or ranges of scores, indicating an ordered arrangement of the data. However, the bar graph alone does not provide information about the exact numerical differences between the scores or their precise magnitudes.
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One third times the difference of thirty and a variable is three fourths. one third times the quantity 30 minus y equals three fourths one third times the quantity y minus 30 equals three fourths one third times 30 minus y equals three fourths one third times y minus 30 equals three fourths
The original statement is same as third statment and value of y is 27.
Writing the equation form for each statement -
Let the variable be represented as y.
One third times the difference of thirty and a variable is three fourths1/3(30 - y) = 3/4
one third times the quantity 30 minus y equals three fourths1/3×30 - y = 3/4
one third times the quantity y minus 30 equals three fourths1/3×y - 30 = 3/4
one third times 30 minus y equals three fourths1/3(30 - y) = 3/4
one third times y minus 30 equals three fourths1/3(y - 30) = 3/4
Based on the interpretation of all the sentences in equation form, we find the statement 3 to be same as original statement. Solving the equation to get the value of y.
1/3(30 - y) = 3/4
10 - y/3 = 3/4
10 = 3/4 + y/3
10 = (3×4 + y×4)/12
10×12 = 12 + 4y
4y + 12 = 120
4y = 120 - 12
4y = 108
y = 27
Hence, the value of y is 27.
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Answer:
the answer is A.
1 over 3 (30 - y) = 3 over 4
Find the flow rate of water in each (steel) pipe at 25°C in each
pipe. Ignore minor losses.
1.2 ft³/s All pipes 2-1/2-in Schedule 40 50 ft 50 ft 30 ft 50 ft 50 ft 0.3 ft³/s 0.3 ft³/s 30 ft 0.6 ft³/s
The flow rate of water in each steel pipe at 25°C is as follows:
Pipe 1: 1.2 ft³/s
Pipe 2: 0.3 ft³/s
Pipe 3: 0.3 ft³/s
Pipe 4: 0.6 ft³/s
To calculate the flow rate of water in each steel pipe, we need to consider the properties of the pipes and the lengths of the sections through which the water flows. The schedule 40 pipes mentioned in the question are commonly used for various applications, including plumbing.
Given the lengths of each pipe section, we can calculate the total equivalent length (sum of all lengths) to determine the pressure drop across each pipe. Since the question mentions ignoring minor losses, we assume that the flow is fully developed and there are no significant changes in diameter or fittings that would cause additional pressure drop.
Using the flow rate formula Q = ΔP * A / √(ρ * (2 * g)), where Q is the flow rate, ΔP is the pressure drop, A is the cross-sectional area of the pipe, ρ is the density of water, and g is the acceleration due to gravity, we can calculate the flow rates.
Considering the given data, we can directly assign the flow rates to each pipe:
Pipe 1: 1.2 ft³/s
Pipe 2: 0.3 ft³/s
Pipe 3: 0.3 ft³/s
Pipe 4: 0.6 ft³/s
The flow rate of water in each steel pipe at 25°C is determined based on the given information. Pipe 1 has a flow rate of 1.2 ft³/s, Pipe 2 and Pipe 3 have flow rates of 0.3 ft³/s each, and Pipe 4 has a flow rate of 0.6 ft³/s. These values represent the volumetric flow rate of water through each pipe under the specified conditions.
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There are 8 squares and 2 triangles. What is the simplest ratio of triangles to total shapes?
Answer:
2:10 or 1:5
Step-by-step explanation:
Answer: 4 squares to 1 triangle
Step-by-step explanation: both can be divided by two and that is the largest number they can be divided into
Haematuria + frequency + dysuria what is the diagnosis and investigations?
I will only give points if you give me a long answer (not THAT long.). Now, what is 100 x 300. Make sure to give a long answer but not that long. So enjoy your day.
Answer:
100×300=3000
Step-by-step explanation:
hope the picture attached helps
A plumber charges $50 to visit a house plus $40 for every hour of work. Write an expression to represent the total cost of hiring a plumber.
Let h = number of hours
Answer:
x = 50 + 40h
Step-by-step explanation:
you're welcimd