Answer:
-3/28
Step-by-step explanation:
In order to subtract fractions you first have to get a common denominator. The common denominator between 4 and 14 is 28 since 4(7) = 28 and 14(2) = 28. Then multiply the top and bottom of (1/4) by (7/7) and (5/14) by (2/2). This gives a common denominator and since you multiply by a fraction equal to 1, it doesn't change the value. Therefore, we get 7/28 - 10/28 = -3/28.
A code ue for 1 for A, 2 for B, 3 for C and o on upto 26 for Z. Coded word are written without pace to confue the enemy o 18 could be AH or R. Decode the following meage
The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number
The code provided indicates that each number corresponds to a letter in the alphabet. Since 1 is A, 2 is B, and so on, the code 1814151418 would decode as RADE. This is an example of a simple substitution cipher, a type of encryption where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which in this case is the code that maps each letter to a number. Knowing this, it is a simple task to decode any message that has been encrypted with this code.
The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number
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Use Euler's Method with a step size of h = 0.1 to find approximate values of the solution at t = 0.1,0.2, 0.3, 0.4, and 0.5. +2y=2-ey (0) = 1 Euler method for formula Yn=Yn-1+ hF (Xn-1-Yn-1)
Using Euler's Method with a step size of h = 0.1, the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 are:
t = 0.1: y ≈ 1.1
t = 0.2: y ≈ 1.22
t = 0.3: y ≈ 1.34
t = 0.4: y ≈ 1.47
t = 0.5: y ≈ 1.61
To use Euler's Method, we start with an initial condition. In this case, the given initial condition is y(0) = 1. We can then iteratively calculate the approximate values of the solution at each desired time point using the formula:
Yn = Yn-1 + h * F(Xn-1, Yn-1)
Here, h represents the step size (0.1 in this case), Xn-1 is the previous time point (t = Xn-1), Yn-1 is the solution value at the previous time point, and F(Xn-1, Yn-1) represents the derivative of the solution function.
For the given differential equation +2y = 2 - ey, we can rearrange it to the form y' = (2 - ey) / 2. The derivative function F(Xn-1, Yn-1) is then (2 - eYn-1) / 2.
Using the initial condition y(0) = 1, we can proceed with the calculations:
t = 0.1:
Y1 = Y0 + h * F(X0, Y0)
= 1 + 0.1 * [(2 - e^1) / 2]
≈ 1 + 0.1 * (2 - 0.368) / 2
≈ 1 + 0.1 * 1.316 / 2
≈ 1 + 0.1316
≈ 1.1
Similarly, we can calculate the approximate values of the solution at t = 0.2, 0.3, 0.4, and 0.5 using the same formula and previous results.
Using Euler's Method with a step size of h = 0.1, we found the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 to be 1.1, 1.22, 1.34, 1.47, and 1.61, respectively.
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twice a number plus 4 is 8
Answer:
2
Step-by-step explanation:
Answer:
2 x 2 = 4 + 4 = 8
the number is 2
Show that the equation x ^ 3 + 6x - 10 = 0 has a solution between x = 1 and x = 2
How does the graph of g(x) = (x − 8)3 + 3 compare to the parent function f(x) = x3?
a. g(x) is shifted 8 units to the left and 3 units up.
b. g(x) is shifted 3 units to the right and 8 units down.
c. g(x) is shifted 8 units to the right and 3 units up.
d. g(x) is shifted 3 units to the right and 8 units up.
Answer:
The right answer is C.
Step-by-step explanation:
The parent function is:
\(f(x)=x^3\)
If something is subtracted from variable \(x\) it means the graph shifted toward right and something is added to \(y\) value then the graph is shifted up.
\(f(x)=(x-8)^3\)
graph shifted toward right by \(8\) units right
\(f(x)=(x-8)^3+3\)
graph shifted toward right by \(3\) units up
Thus the new function is:
\(g(x)=(x-8)^3+3\)
Let A be a 4x4 matrix over R with characteristic polynomial
(x^4-1) and minimal polynomial (x^2-1). Then
write down all possible rational canonical forms.
The possible rational canonical forms for the given matrix A are:-
1.
[ 1 1 0 0 ]
[ 0 1 0 0 ]
[ 0 0 -1 0 ]
[ 0 0 0 -1 ]
2.
[ -1 1 0 0 ]
[ 0 -1 0 0 ]
[ 0 0 1 0 ]
[ 0 0 0 1 ]
Let A be a 4x4 matrix over R with characteristic polynomial (x^4-1) and minimal polynomial (x^2-1). To find all possible rational canonical forms, we need to consider the elementary divisors of the matrix A.
The characteristic polynomial gives us the information about the eigenvalues of the matrix A. In this case, the eigenvalues are the roots of the characteristic polynomial, which are 1, -1, i, and -i. Since the minimal polynomial divides the characteristic polynomial, the eigenvalues of the matrix A must satisfy the minimal polynomial as well.
The minimal polynomial, (x^2-1), implies that the eigenvalues of A must be either 1 or -1. Therefore, the eigenvalues i and -i are not valid eigenvalues for this matrix.
Now, let's consider the possible rational canonical forms based on the eigenvalues.
Case 1: Eigenvalue 1
In this case, the Jordan canonical form will have a 2x2 Jordan block corresponding to the eigenvalue 1.
Case 2: Eigenvalue -1
Similar to case 1, the Jordan canonical form will have a 2x2 Jordan block corresponding to the eigenvalue -1.
Hence, the possible rational canonical forms for the given matrix A are:
1.
[ 1 1 0 0 ]
[ 0 1 0 0 ]
[ 0 0 -1 0 ]
[ 0 0 0 -1 ]
2.
[ -1 1 0 0 ]
[ 0 -1 0 0 ]
[ 0 0 1 0 ]
[ 0 0 0 1 ]
These two forms correspond to the two possible ways of organizing the Jordan blocks for the given eigenvalues.
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how to determine if a function crosses the horizontal asymptote
To determine if a function crosses the horizontal asymptote, analyse the behavior of the function as it approaches the asymptote and on either side of it.
1. Identify the horizontal asymptote of the function. The horizontal asymptote is a horizontal line that the function approaches as the independent variable (usually denoted as x) goes to positive or negative infinity. It is often denoted by a horizontal line y = a, where "a" is a constant.
2. Examine the behavior of the function as x approaches positive infinity. Evaluate the limit of the function as x goes to positive infinity. If the limit is equal to the value of the horizontal asymptote, then the function does not cross the asymptote. However, if the limit does not equal the asymptote, move to the next step.
3. Examine the behavior of the function as x approaches negative infinity. Evaluate the limit of the function as x goes to negative infinity. If the limit is equal to the value of the horizontal asymptote, then the function does not cross the asymptote. If the limit does not equal the asymptote, proceed to the next step.
4. Investigate the behavior of the function around critical points or points where the function changes its behavior. These points may include the x-intercepts or vertical asymptotes. Determine if the function crosses the asymptote around these points by analyzing the behavior of the function in their vicinity.
If, at any point in this process, the function crosses the horizontal asymptote, then it does not have a true horizontal asymptote. However, if the function approaches the asymptote and does not cross it at any point, then it has a horizontal asymptote.
It's important to note that some functions may have multiple horizontal asymptotes or no horizontal asymptote at all. The steps outlined above are a general guideline, but the specific behavior of the function needs to be analyzed to make a conclusive determination.
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PLEASE HELP ILL GIVE BRAINLIEST
Step-by-step explanation:
A C and H would all also be 120 degrees due to corresponding and vertical angles
The value of the x-intercept for the graph of 4x-5y=40 is
1) 10
2) 4/5
3) -4/5
4) -8
Find the length of the third side. If necessary, round to the nearest tenth
Answer: To find the length of the third side, we need to find the length of the hypotenuse. The hypotenuse is 8 + 10 = 18. So the length of the third side is 18.
Step-by-step explanation:
Four friends equally divided a whole pizza for lunch. Binli ate 1 of his 3
share and took the rest of his share home. What fraction of the whole pizza did he eat for lunch?
Please help! Will give brainiest!!!
Answer:
He ate 1/12 of the pizza
Step-by-step explanation:
Divide the pizza by 4 to get the share each friend got
1/4
Then Binli ate 1/3 of his share
1/4 * 1/3 = 1/12
He ate 1/12 of the pizza
Heyaaa, can you help me out? I'm not exactly sure how to go about solving this.
Answer:
$48
Step-by-step explanation:
if youre paying 9.60 in tax and the tax is 20% you have to find out what 9.60 is 20% of
and 9.60 is 20% of 48
cost be x
\(\\ \rm\hookrightarrow 0.20x=9.6\)
\(\\ \rm\hookrightarrow x=9.6/0.2\)
\(\\ \rm\hookrightarrow x=48\)
the p-value for a hypothesis test turns out to be 0.02916. at a 9% level of significance, what is the proper decision?
The proper decision is to reject the null hypothesis.
What is hypothesis testing?
The concept, procedures, and method of testing a hypothesis against the null hypothesis. The testing hypothesis is said to have that level of significance if the null hypothesis is only rejected if its probability is less than a preset significance level.
Given: p-value = 0.02916
Level of significance = 9%
The P-value approach involves determining "likely" or "unlikely" by determining the probability — assuming the null hypothesis were true — of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed.
If the P-value is less than (or equal to), then the null hypothesis is rejected in favor of the alternative hypothesis. And, if the P-value is greater than, then the null hypothesis is not rejected.
Therefore, p-value is less than the level of significance.
Hence, we are rejecting the null hypothesis.
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3. Bob the plumber charges $15 per hour plus a service fee of $40 for coming out to your
house. How much would plumber Bob charge for working 5 hours?
A) $125
B) $100
C) $75
D) $115
Answer:
D) $115
Step-by-step explanation:
15x + 40 = y
15 (5) + 40 = 115
15 x 5 = 75
75 + 40 = 115
Answer:
D is the answer
Step-by-step explanation:
15x5=75
75+40=115
Equations with Variables on Both Sides! Please help!
Answer:
x = 12
Step-by-step explanation:
-x + 8 = x - 16
add x to both sides
8 = 2x - 16
add 16 to both sides
24 = 2x
divide by 2 on both sides
x = 12
Answer:
x = 12
Step-by-step explanation:
you can do any of the following as the first step:
a) add 'x' to each side to get: 8 = 2x - 16
b) subtract 'x' from each side to get: -2x + 8 = -16
c) subtract 8 from each side to get: -x = x -24
d) add 16 to each side to get: -x + 24 = x
if we choose to solve the equation in (a) we will get:
8 = 2x - 16
8 + 16 = 2x - 16 + 16 which simplifies to:
24 = 2x
divide each side by 2 to get x = 12
solving any of the above 4 equation will give you x = 12
WILL GIVE BRAINLIEST
Answer:
sry man
Step-by-step explanation:
According to the synthetic division below, which of the following statements are true? Check all that apply.
-6)2 9 -12 2 -3 11
A. When x = -6,2x2 + 9x-7 = 11.
B. When x = 6,2x2 + 9x-7 = 11.
C. (x-6) is a factor of 2x + 9x- 7.
D. When (2x + 9x-7) is divided by (x - 6), the remainder is 11.
E. When (2x2 + 9x - 7) is divided by (x + 6), the remainder is 11. F. (x+6) is a factor of 2x2 + 9x-7.
The last number on a synthetic division represents the remainder of the division.
The true statements are:
(a). When x = -6, 2x^2 + 9x - 7 = 11. (e). When (2x2 + 9x - 7) is divided by (x + 6), the remainder is 11.From the question, we have the dividend to b 2x^2 + 9x - 7, the last number to be 11, and the zero of the divisor to be -6.
This means that:
\(x = -6\) --- the divisor
Set to 0
\(x+6 = 0\)
So, when the dividend 2x^2 + 9x - 7 is divided by divisor x + 6, the remainder is 11.
This also means that, when -6 is substituted for x in the dividend, the remainder is 11
Hence, the true statements are (a) and (e)
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which is smaller -6 or 5
Answer:
-6
Step-by-step explanation:
on a number labled for example -10 through 10, -6 would be lower then 5
Sam types 44 words per minutes. How long does it take Sam to type 1,232 words?
Answer:
28 minutes
Step-by-step explanation:
1232w * ((1m) / (44w))
1232m / 44 = 28m
The part in italics is just the ratio of 44 words per minute
A point P has coordinates (-8, -2). what are its new coordinates after reflecting point P across the y-axis?
Answer:
(-8,2)
Step-by-step explanation:The y-value does not change, only the x-value becomes positive.
a polyhedron has all faces triangles or quadrilaterals, and $1001$ edges. what is the difference between the maximum and minimum possible numbers of faces?
Using Euler'formula, the difference between maximum and minimum possible numbers of faces is 96.
A polyhedron is a 3D shape with flat faces, straight edges, and sharp vertices (corners). "polyhedron" meaning "many" and "polyhedron" meaning "area". Therefore, when many planes are joined, they form a polyhedron.
Because all faces are triangles. So on a triangular base with triangular faces on both sides that meet at the vertex.
Therefore, the minimum number of triangular faces of a regular polyhedron is = 4
Next, the double pyramid has "2n" triangular faces. where n is a natural number greater than 2 and 'n' represents the number of sides of the base of the pyramid.
A polyhedron having equal quadrilateral faces is known as regular hexahedron.
quadrilateral faced polyhedron with total sides 100 and vertices 6 , then using Euler's formula
F + V-E = 2
=> F + 6- 100= 2 => F = 96 maximum faces possible = 96
Now the difference between maximum and minimum number of faces = 100 - 4 = 96
So the difference between maximum and minimum faces is 96.
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Solve the right triangle. Find ST, m
Round your answers to the nearest whole number.
Answer:
st=22
m<r=68
m<t=22
Step-by-step explanation:
Side rt = 24
Side sr = 9
Side st = 22.2486
Angle ∠s = 90° = 1.5708 rad = π/2
Angle ∠t = 22.024° = 22°1'28" = 0.3844 rad
Angle ∠r = 67.976° = 67°58'32" = 1.1864 rad
What is the quotient of (-168) + (-14) + (-3)? Pls help me
A: -36
B: -4
C: 4
D: 36
Answer: B: -4
Step-by-step explanation: -168/-14 = 12
12/-3 = -4
The second digit of a four digit number is "0". If you write the digits of this number backwards, you will get a number 9 times bigger than the original. What is the original number?
Answer:
1089
Step-by-step explanation:
The original number is A0CD, We have that DC0A = 9 x A0CD.
If A =1, then D = 9 and we have:
9C01 = 9 x 10C9
In order for this expression to be true, the following must also be true:
(C x 9) + 8 must be divisible by 10, which means that C x 9 must end in a 2.
The only multiple of 9 (from 9 to 81) that ends in a 2 is 72.
72 = 9 x 8.
Therefore, C must be 8 and the original number is 1089. Multiply it by 9 to check the answer:
1089 x 9 = 9,081
Therefore, 1089 is correct.
please help fast i’ll make brainliest
Answer:
The answer is 4.6.
Step-by-step explanation:
If you look at the graph closely, you would see that the intersection is very close to 4, so the answer is 4.6.
For the following sample of n = 8 scores: 0, 1, 1/2, 0, 3, 1/2,0,1 Simplify the arithmetic by first multiplying each score by 2 to obtain a new sample of 0, 2, 1, 0, 6, 1, 0, and 2. Then, compute the mean and standard deviation for the new sample.
Mnew -
Snew -
Using the values you just obtained, what are the values for the mean and standard deviation for the original sample?
Moriginal -
Soriginal -
The values for the mean and standard deviation for the original sample are Moriginal = 0.625 and Soriginal = 0.9661, respectively.
Compute the mean and standard deviation for the new sample.
The mean of the original sample Soriginal is 0.625.
Moriginal = 0.625.
For the given sample of n = 8 scores: 0, 1, 1/2, 0, 3, 1/2,0,1.
We have to simplify the arithmetic by first multiplying each score by 2 to obtain a new sample of 0, 2, 1, 0, 6, 1, 0, and 2. Then, we will compute the mean and standard deviation for the new sample.
The calculations are:
\($\overline{x}_{\text{new}}=\frac{\sum x_{\text{new}}}{n}=\frac{0+2+1+0+6+1+0+2}{8}=1.25$$\)
This implies that the mean of the new sample is 1.25.Mnew = 1.25
Now, let us calculate the standard deviation.
To do so, we have to calculate the variance of the data. The variance is the average of the squared deviation from the mean.
That is,
\($\sigma_{\text{new}}^2=\frac{\sum(x_{\text{new}}-\overline{x}_{\text{new}})^2}{n-1}\)
\(=\frac{(0-1.25)^2+(2-1.25)^2+(1-1.25)^2+(0-1.25)^2+(6-1.25)^2+(1-1.25)^2+(0-1.25)^2+(2-1.25)^2}{8-1}\\=3.7321\)
This implies that the variance of the new sample is 3.7321.
Now, we calculate the standard deviation as:
\($\sigma_{\text{new}}=\sqrt{3.7321}=1.9322$\)
Thus, the standard deviation of the new sample is 1.9322.
Snew = 1.9322
We will use the formula for calculating the standard deviation of a new sample from an old sample, as follows:
\($\sigma_{\text{old}}=\frac{\sigma_{\text{new}}}{2}=\frac{1.9322}{2}=0.9661$$\)
So, the standard deviation of the original sample is 0.9661.
Soriginal = 0.9661
To find the mean of the original sample, we will use the following formula:
\($\overline{x}_{\text{old}}=\frac{\overline{x}_{\text{new}}}{2}=\frac{1.25}{2}=0.625$$\)
Therefore, the mean of the original sample is 0.625.
Moriginal = 0.625
Thus, the values for the mean and standard deviation for the original sample are Moriginal = 0.625 and Soriginal = 0.9661, respectively.
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please help me thank youuuu
Angles B and C each measure 60°, and angles A and D each measure 60°.
When two lines intersect, they form four angles around the intersection point. In this case, we know that angle A measures 120°. To find the measures of the other angles, we use the fact that the sum of the angles around a point is equal to 360°.
Since angle A is 120°, the sum of angles B, C, and D must be:
B + C + D = 360° - A
B + C + D = 360° - 120°
B + C + D = 240°
We also know that when two lines intersect, the angles opposite each other are equal. Therefore, angles B and C have the same measure and angles A and D have the same measure. Let's assume that angles B and C each measure x, and angles D and A each measure y. Then we have:
2x + 2y = 240°
x + y = 120°
Solving this system of equations, we get:
x = y = 60°
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What is 35 to the nearest degree
I'm sorry, 35 is not a measure of angle and therefore cannot be rounded to the nearest degree. Are you asking for the sine, cosine, or tangent of 35 degrees?
Can someone PLEASE HELLPP MEE
What is the equation of the parabola shown with its focus on this graph? y=-1/12(x-1)^2
The equation of the parabola with focus shown on the graph is given by:
y = -x²/12 + 1.
Equation of a parabolaThe equation of a vertical parabola of coordinates of vertex (h,k) is given according to the equation presented as follows:
(x - h)² = 4p(y - k).
The focus of a vertical parabola has the coordinates given as follows:
(h, k + p).
From the graph, the coordinates of the vertex of the parabola are given as follows:
(0,1).
Hence the parameters are:
h = 0, k = 1.
Then:
x² = 4p(y - 1)
The coordinates of the focus are given as follows:
(0,-2).
Hence the parameter p is calculated as follows:
k + p = -2
1 + p = -2
p = -3.
Then the equation is:
x² = -12(y - 1)
y - 1 = -x²/12
y = -x²/12 + 1.
Missing InformationThe graph of the parabola is given by the image at the end of the answer.
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