I need help Solveing for X
Answer:
x = 57°
Step-by-step explanation:
23° + 100° + x = 180°
123° + x = 180°
-123 -123
x = 57°
Hope this helps!
PLEASE HELP
a line has a slope of -4 and goes through the point (1,-9)
I need help with this, I´ĹL GIVE THE FIRST ANSWER BRAINLIEST
The first answer! jk will answer
The answer is 106.02, why? because CXP is virtually the same as SYD. Pls Brainliest! It would mean a lot! ;)
Answer:
I think it's C... Hi
Given that 3 x − 5 y = 2 Find x when y = 8
please help me answer this question
Answer:
the answer is 7-1
Step-by-step explanation:
1. What number comes next in this sequence?
483, 759, 264, 837,?
A) 487
B) 592
C) 375
D) 936
Answer:
C 375 this your answer
Hope it will help
Answer:
B) 592
Step-by-step explanation:
483, 759, 264, 837,?
Erase commas.
483759264837
Separate into two-digit groups:
48, 37, 59, 26, 48, 37
There is a common pattern:
48 - 11 = 37 + 22 = 59 - 33 = 26 + 22 = 48 - 11 = 37
The next term:
37 + 22 = 59 (add 22)
59 - 33 = 26 (subtract 33)
5926
The heat released by a certain radioactive substance upon nuclear fission can be described by the following second-order linear nonhomogeneous differential equation: dx 7 d²x +6 dt² dt - + x = me2t sinh t where x is the heat released in Joule, t is the time in microseconds and m is the last digit of your matrix number. For those whose matrix number ending 0, you should use m = 10. You are required to solve the equation analytically: a. Perform the Laplace transform of the above equation and express X(s) in its simplest term. The initial conditions are given as dx (0) = 0 and x (0) = 0. (40 marks) dt b. By performing an inverse Laplace transform based on your answer (a), express the amount of heat released (x) as a function of time (t). (20 marks) c. A second additional effect arises from a sudden rapid but short release of heat amounting to 10¹0 Joule at t=m microseconds. Rewrite the second order differential equation. (10 marks) d. Solve the equation in (c) by using the Laplace transform technique. The initial conditions are the same as (a). Hint: You may apply the superposition principle. (30 marks)
a. To perform the Laplace transform of the given equation, we start by applying the transform to each term individually. Let's denote the Laplace transform of x(t) as X(s). Using the properties of the Laplace transform, we have:
L{dx/dt} = sX(s) - x(0)
L{d²x/dt²} = s²X(s) - sx(0) - x'(0)
Applying the Laplace transform to each term of the equation, we get:
7s²X(s) - 7sx(0) - 7x'(0) + 6(sX(s) - x(0)) - X(s) = mL{e^(2t)sinh(t)}
Using the Laplace transform of e^(at)sinh(bt), we have:
L{e^(2t)sinh(t)} = m/(s - 2)^2 - 2/(s - 2)^3
Substituting these expressions into the equation and rearranging, we can solve for X(s):
X(s)(7s² + 6s - 1) = 7sx(0) + 7x'(0) + 6x(0) + m/(s - 2)^2 - 2/(s - 2)^3
Simplifying the equation, we get:
X(s) = [7sx(0) + 7x'(0) + 6x(0) + m/(s - 2)^2 - 2/(s - 2)^3] / (7s² + 6s - 1)
b. To find the inverse Laplace transform and express x(t) in terms of time, we need to perform partial fraction decomposition on X(s). The denominator of X(s) can be factored as (s - 1)(7s + 1). Using partial fraction decomposition, we can express X(s) as:
X(s) = A/(s - 1) + B/(7s + 1)
where A and B are constants to be determined. Now we can find A and B by equating the coefficients of like terms on both sides of the equation. Once we have A and B, we can apply the inverse Laplace transform to each term and obtain x(t) in terms of time.
c. To incorporate the second additional effect, we rewrite the second-order differential equation as:
7d²x/dt² + 6dx/dt + x = me^(2t)sinh(t) + 10^10δ(t - m)
where δ(t - m) represents the Dirac delta function.
d. To solve the equation in (c) using the Laplace transform technique, we follow a similar procedure as in part (a), but now we have an additional term in the right-hand side of the equation due to the Dirac delta function. This term can be represented as:
L{10^10δ(t - m)} = 10^10e^(-ms)
We incorporate this term into the equation, perform the Laplace transform, solve for X(s), and then apply the inverse Laplace transform to obtain x(t) with the given initial conditions.
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A) A sample consists of the following n=5 scores: 4,8,0, 10, 3. a) Compute the mean and standard deviation for the sample. Hint: You will need the use the formula for sample standard deviation from Chapter 04. b) Find the Z-score for each score in the sample. Enter the computed z-scores in the table below. c) Transform the original sample into a new sample with a mean of M = 100 and s = 20. Hint: Use the computed 2-score to complete these transformations. Original X Z-score Transformed X 4 8 0 10 3 d) Sketch a "stacked" distribution (stack the three distributions on top of one another) and comment on what you notice across all distributions in terms of the relative position of individual scores within each distribution.
a) The mean of the sample is (4+8+0+10+3)/5 = 5. The sample standard deviation is calculated as follows:
s = sqrt([(4-5)^2 + (8-5)^2 + (0-5)^2 + (10-5)^2 + (3-5)^2]/(5-1))
= sqrt([1+9+25+25+4]/4)
= sqrt(64/4)
= 2√2
≈ 2.83
Therefore, the mean of the sample is 5 and the standard deviation is approximately 2.83.
b) To find the Z-score for each score in the sample, we use the formula:
Z = (X - μ) / σ
where X is the score, μ is the mean of the sample, and σ is the standard deviation of the sample.
The Z-scores for the sample are:
Z(4) = (4-5) / 2.83 ≈ -0.35
Z(8) = (8-5) / 2.83 ≈ 1.06
Z(0) = (0-5) / 2.83 ≈ -1.77
Z(10) = (10-5) / 2.83 ≈ 1.77
Z(3) = (3-5) / 2.83 ≈ -0.71
c) To transform the original sample into a new sample with a mean of M = 100 and s = 20, we use the following formula:
X' = Z( X) × s + M
where X' is the transformed score, Z(X) is the Z-score for the original score X, s is the desired standard deviation, and M is the desired mean.
The transformed scores for the sample are:
X'(4) = -0.35 × 20 + 100 ≈ 92.98
X'(8) = 1.06 × 20 + 100 ≈ 121.27
X'(0) = -1.77 × 20 + 100 ≈ 63.46
X'(10) = 1.77 × 20 + 100 ≈ 136.54
X'(3) = -0.71 × 20 + 100 ≈ 85.83
d) The stacked distribution shows the original sample (in blue), the Z-scores (in green), and the transformed sample (in red).
We notice that the relative position of individual scores within each distribution is the same. For example, the score of 8 is the highest score in the original sample, and it also has the highest Z-score and the highest transformed score.
Similarly, the score of 0 is the lowest score in the original sample, and it also has the lowest Z-score and the lowest transformed score. The relative ordering of the scores is preserved across all three distributions.
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Use a proportion to convert 32 fluid ounces to cups. [Hint: Use the conversion factor 8 fl oz = 1 c.]
Answer:
4 cups
Step-by-step explanation:
in order to convert 32 ounces into cups, you must divide 32 by 8. this will give you 4, your answer.
If this helps, please mark me brainliest. :)
Answer:
4 cups
Step-by-step explanation:
32/x = 8/1
8x = 32
x = 4
asmita went to a blackjack table at the casino. at the table, the dealer has just shuffled a standard deck of 52 cards. asmita has had good luck at blackjack in the past, and she actually got three blackjacks with aces in a row the last time she played. because of this lucky run, asmita thinks that ace is the luckiest card. the dealer deals the first card to her. in a split second, she can see that it is a non-face card, but she is unsure if it is an ace. what is the probability of the card being an ace, given that it is a non-face card? answer choices are in a percentage format, rounded to the nearest whole number. 8% 10% 69% 77%
The probability of the card being an ace, given that it is a non-face card is option A: 8% .
What is the probability about?To find the probability of an event occurring, we can use the formula:
Probability = number of ways the event can occur / total number of outcomes.
In this case, we are trying to see the probability of drawing an ace from a standard deck of 52 cards, given that the card is a non-face card. There are 4 aces in a standard deck of 52 cards, so the number of ways the event (drawing an ace) can occur is 4. There are 52 total cards in the deck, and 48 of them are non-face cards. So, the total number of outcomes is 48.
Therefore, the probability of the card being an ace, given that it is a non-face card, is 4/48.
4/48 = 0.083
When converted to percentage, it is approximately 8.3%.
Therefore, This means that the probability of the card being an ace, given that it is a non-face card, is approximately 8%, which is seen as the closest to the answer choice "8%".
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9) Write the equation of the parabola with vertex ( 5,-4) and concavity-3, determine whether the parabola is concave up or concave down and find the y-intercept:
The equation of a parabola in vertex form is given by
\(f(x)=a(x-h)^2\text{ + k}\)The vertex (h,k) when compared with the equation, h = 5 and k = -4
Since the concavity is -3,
a= -3
\(y=-3(x-5)^2\text{ + (-4)}\)\(\begin{gathered} y=-3(x-5)^2\text{ -4} \\ y=-3(x^2-10x+25\text{) - 4} \\ y=-3x^2\text{ + 30x -75 -4} \\ y=-3x^2\text{ + 30x -79} \end{gathered}\)From the graph shown, it can be seen that the parabolic curve is concave down
To get the y-intercept
we will have to put x = 0 into the equation
\(\begin{gathered} y\text{ = -3(0) + 30 (0) - 79} \\ y-intercept\text{ = -79} \end{gathered}\)What 8 measures a distance across a circle through its center?
The 8 measures that can be used to calculate the distance across a circle through its center is known as the diameter.
The 8 measures include diameter, radius, chord, tangent, secant, circumference, arc length, and central angle. The diameter is the longest measure and extends from one side of the circle through its center to the opposite side. The radius is half the length of the diameter and extends from the center to the circumference.
A chord is a straight line segment that connects two points on the circumference. A tangent is a straight line that touches the circumference at only one point. A secant is a line that intersects the circumference at two points.
The circumference is the distance around the circle, while the arc length is the distance along a portion of the circumference. A central angle is an angle whose vertex is at the center of the circle, and its rays extend to the circumference.
These measures are useful in many areas, such as in geometry, trigonometry, and physics. They can be used to calculate various properties of circles, such as the area, perimeter, and volume of circular objects. Understanding these measures is essential in solving problems related to circles and circular motion.
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you deposit 5,000 dollars into a savings account with 3% interest. How much money will you have in 10 years
Answer:
6,719.58
Step-by-step explanation:
The town's poplation in the year 2020 was 1,500 people,
The population has been increasing 3% each year.
What will the population be in the year 2025?
Answer:
1739
Step-by-step explanation:
(1+growth)^years
so
(1+.03)^5=1.159...
Multiply by 1500 = 1738.9.......
Which choice would transform the rectangle to quadrant IV?
This shows a rectangle in the coordinate plane. А) rotate 180° clockwise about the origin +8 +7 +6 +5 B translate left 10 units +4 +2 © reflect over the y-axis +1 +2 +3 +4 +5 +6 +7 +8 1 reflect over the x-axis
Answer:
reflect over the x-axis
Step-by-step explanation:
Transformation is the movement of point from its initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.
If a point A(x, y) is rotated 180° clockwise about the origin the new position would be A'(-x, -y)
If a point A(x, y) is reflected over the y-axis the new position would be A'(-x, y).
If a point A(x, y) is reflected over the x-axis the new position would be A'(x, -y)
If a point A(x, y) is translated a units left the new position would be A'(x-a, y).
The rectangle has points at (2, 2), (2, 5), (7,2), (7,5). If the rectangle is reflected over the x-axis the new position would be at (2, -2), (2, -5), (7, -2), (7, -5) which is at the fourth quadrant
find the solution [(3+5)x4] -10
Answer:
22
Step-by-step explanation:
An equilateral triangle with side length 9 cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.
Question:-
Find the area of an equilateral triangle with side length = 9cm correct upto one decimal place.
_______________________________________________
Solution:-
In an equilateral triangle all sides are equal.
Let s = side length = 9 cm
Then, area of equilateral triangle is given as:
A = (√3/4)s²
Putting the value of s here,
A = (√3/4) * (9 cm)²
=> A = (√3/4) * 81 cm²
=> A = √3 * 20.25 cm²
We know that, √3 = 1.732
=> A = 1.732 * 20.25 cm²
=> A = 35.073 cm²
Rounding to one decimal place,
=> A = 35.1 cm²
_______________________________________________
The answer is 35.1 cm².
Hope this helps; have a great day!
What is a formula for the nth term of the given sequence? 54, -36, 24...
Answer :
an = a1 + (n-1) d
an = 54 + (9-1) -90
an = 54 + (8) - 90
an = 54 - 720
an = - 666
·\(3\sqrt{10}\ times -6\sqrt{30}\)
Due by 12:23
Answer:
-180√3
Step-by-step explanation:
3√10 x - 6√30
= 3x-6 x -√10 x √30
= -18 x√300
= -18 x 10√3
= -180√3
please help me with this
Answer:
(0,-3)
Step-by-step explanation:
2. The temperature during the night dropped 2 degrees every hour. How many degrees did the temperature drop altogether after 3 1/4 hours? Be sure to show your work!
Answer:
c
Step-by-step explanation:
Can you solve for X inside the correct code for question four?
Answer
CIAD
Step-by-step explanation
The Pythagorean theorem states:
\(c^2=a^2+b^2\)where a and b are the legs and c is the hypotenuse of a right triangle.
Applying this theorem to triangle 1:
\(\begin{gathered} x^2=77^2+36^2 \\ x^2=5929+1296 \\ x^2=7225 \\ x=\sqrt{7225} \\ x=85 \end{gathered}\)Then, the first letter is C.
Applying the theorem to triangle 2:
\(\begin{gathered} x^2=39^2+80^2 \\ x^2=1521+6400 \\ x^2=7921 \\ x=\sqrt{7921} \\ x=89 \end{gathered}\)Then, the second letter is I.
Applying the theorem to triangle 3:
\(\begin{gathered} x^2=25^2+100^2 \\ x^2=625+10000 \\ x^2=10625 \\ x=\sqrt{10625} \\ x=103.08 \end{gathered}\)Then, the third letter is A.
Applying the theorem to triangle 4:
\(\begin{gathered} x^2=17^2+52^2 \\ x^2=289+2704 \\ x^2=2993 \\ x=\sqrt{2993} \\ x=54.71 \end{gathered}\)Then, the fourth letter is D.
Question 8
Find the surface area of the equilateral triangular pryamid.
15 cm
10 cm
Answer:
268.3 cm³
Step-by-step explanation:
Surface area of triangular pyramid = Base Area + ½*(perimeter of base)(height of pyramid)
Base area = 43.3 cm²
Perimeter of base = 10 + 10 + 10 = 30 cm
Height of pyramid = 15 cm
Plug in the values
Surface area = 43.3 + ½(30)(15)
Surface area = 43.3 + 225
= 268.3 cm³
problem 4. show that given any set of seven distinct integers, there must exist two integers in this set whose sum or difference is a multiple of 10. hint: make six different bins and apply the pigeonhole principle.
There will always exist two integers in a set of seven distinct integers whose sum or difference is a multiple of 10. If they have different remainders, their sum is a multiple of 10.
To prove that in any set of seven distinct integers, there must exist two integers whose sum or difference is a multiple of 10, we can use the pigeonhole principle.
We create six different bins, each representing the possible remainders when dividing an integer by 10 (0, 1, 2, 3, 4, and 5). Since there are only six possible remainders, and we have seven integers, by the pigeonhole principle, at least two integers must fall into the same bin.
If these two integers have the same remainder, their difference is a multiple of 10. If they have different remainders, their sum is a multiple of 10 (e.g., if one has a remainder of 2 and the other has a remainder of 8).
Therefore, there will always exist two integers in a set of seven distinct integers whose sum or difference is a multiple of 10.
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Can you come up with the equation for the graph to the left in y = mx + b form?
Answer:
hope this helps you to understand.
The measure of angle 7 is
pls help quickly
Answer:
209 degrees
Step-by-step explanation:
what is the median of 93,81,94,71,89,92,94,99
Answer:
Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.So,
92
Step-by-step explanation:
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what is 100÷21?
56×32=
76+77
Answer:
100 ÷21 = 4.76 or 5
56 × 32 =1732
76+77= 153
Step-by-step explanation:
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In a bubble sort, on each pass through the list that must be sorted, you can stop making pair comparisons _____. A. one comparison later B. one comparison sooner C. two comparison sooner D. two comparison later
Answer:
In a bubble sort, on each pass through the list that must be sorted, the largest value "bubbles" to the end of the list. Therefore, after each pass, the end of the list is guaranteed to be sorted. This means that we can stop making pair comparisons one comparison sooner, which is option B.
Step-by-step explanation:
Bubble sort works by repeatedly comparing and swapping adjacent elements in the list if they are in the wrong order. During each pass through the list, the largest unsorted element "bubbles up" to its correct position. As a result, after the first pass, the largest element is in its correct position, after the second pass, the two largest elements are in their correct positions, and so on.
Therefore, with each subsequent pass, you can stop making pair comparisons one comparison sooner because the elements at the end of the list are already sorted.
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what shape is the cross section of a triangular pyramid sliced by a plane that is perpendicular to its base?
The shape of the cross section of a triangular pyramid sliced by a plane that is perpendicular to its base is triangle.
What is meant by cross section?The non-empty intersection of a solid body in three dimensions with a plane, or its equivalent in higher dimensions, is referred to as a cross section in geometry and science. Many parallel cross-sections are produced when an object is sliced. The boundary of a cross-section in three dimensions that is parallel to two of the axes, that is, parallel to the plane determined by these axes, is sometimes referred to as a contour line.
A triangle-shaped pyramid essentially has a triangle-shaped base. The cross section formed when an imaginary line is produced to cut through perpendicular to the base will still have a triangular orientation, but it will be smaller than it was when the pyramid's original triangular orientation or sides were there.
Therefore, the shape of the cross section of a triangular pyramid sliced by a plane that is perpendicular to its base is triangle.
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