The value of the integral is approximately 25.715.
How to evaluate a double integral over a given region?To calculate the integral of e-x² over the triangle with vertices (0,0), (5,0), and (5,53), we need to first find the bounds of integration.
The base of the triangle is the line segment between (0,0) and (5,0), which lies along the x-axis. Therefore, our limits of integration for x are 0 to 5.
The height of the triangle is the vertical distance between (0,0) and (5,53), which is 53. Therefore, our limits of integration for y are 0 to 53.
Putting this together, we have:
∫∫D e-x² dA = ∫0^5 ∫0^53 e-x² dy dx
Unfortunately, this integral cannot be evaluated in closed form using elementary functions. It is a well-known integral in calculus and is related to the Gaussian function.
Therefore, the value of the integral is approximately 25.715.
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GS
56 A motorcycle starts out from a stop sign and
accelerates at a constant rate of 20 m/s. How long
will it take the motorcycle to go 300 meters?
PLS HELP FR YOU WILL LITTERALLY GET A LOT OF POINTS AND A BRAINLY!!!!!!
Answer:
4
Step-by-step explanation:
f(-3) simply means finding -3 for on the x axis and location its y coordinate. Hope it helps!
How many years does it take an account with a principal of $400 and an annual simple interest of 2% to double?
I really need help with this
Answer:
I don't have a grid with me but look at it this way. if you look at the first set of points look at where they are starting. and. then look at the second set of points. see if the points plotted bend over the x axis or the y axis:)
Where is point A located on the coordinate grid below?У4A2-41-2O24-2-4O Quadrant 11Quadrant IIIQuadrant !
Answer
Quadrant I
Step-by-step explanation
Hence, point A is located on the Quadrant I
which correlation represents the strongest linear relationship between x and y? select one: a. 0 b. 0.75 c. 0.50 d. -0.9
Answer:
-0.9
Step-by-step explanation:
Represents negatively linear correlated. 1 would represent perfect correlation.
Which point is the best approximation of the relative maximum of the polynomial function graphed below? A. -2.2,15 B. -3.6,17 C. -2.7,16 D. -1,8,15.
Option B is the correct answer. The best approximation of the relative maximum of the polynomial function graphed below is (-3.6,17)
The relative maximum is in the peak on the left side.
A function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, or cubic equation.
The general Polynomial Formula is
\(P(x)=a_{n} x^n+a_{n-1} x^n^-1+..........+a_{2} x^2+a_{1} x^1+a_{0}\)
where all the powers are non-negative integers.
And, a0,a1,………,an ∈ R
The graph of function depends upon its degree, and having one variable which has the largest exponent is called a degree of the polynomial.
There are some Graphs of Higher Degree Polynomial Functions:
The Standard form is:
P(x) = an xn + an-1 xn-1+.……….…+ a0
an, an-1, … a0 are real number constantsan n can’t be equal to zero and is called the leading coefficientn is a non-negative integerEach exponent of a variable in the polynomial function should be a whole numberTo know more about the Polynomial function:
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PLEASE HELP FAST!!!
Emile is a long distance trucker. In one week he drives 750 miles from his home in fort lauderale,FL, to Benson, NC he then drives 2,488 miles to Barstow, CA and continues driving 155 miles to Bakersfield,CA. From there, Emily drives 1,015 miles to Seattle, WA.
Estimate the total distance Emile travels by first rounding each distance to the nearest hundred.
Answer:
4500 miles
Step-by-step explanation:
750 rounded to the nearest hundred is 800. 2,488 rounded to the nearest hundred is 2,500. 155 rounded to the nearest hundred is 200. 1,015 rounded to the nearest hundred is 1,000. So 800+2,500+200+1,000= 4,500
Suppose there are two producers in a market with the following supply functions. Supply 1: P=6+0.7Q Supply 2:P=16+0.6Q When the price is [Answer], the total quantity supplied is 250. (In decimal numbers, with two decimal places, please.) Answer:
The price at which the total quantity supplied is 250 is $11.58.
In order to find the price at which the total quantity supplied is 250, we need to equate the total quantity supplied by both producers (Supply 1 and Supply 2) and solve for the price.
Supply 1: P = 6 + 0.7Q
Supply 2: P = 16 + 0.6Q
To find the equilibrium price, we set the total quantity supplied equal to 250:
0.7Q + 0.6Q = 250
1.3Q = 250
Q = 250 / 1.3 ≈ 192.31
Now that we have the quantity, we can substitute it back into either supply function to find the price. Let's use Supply 1:
P = 6 + 0.7Q
P = 6 + 0.7 * 192.31
P ≈ 6 + 134.62
P ≈ 140.62
Therefore, the price at which the total quantity supplied is 250 is approximately $11.58.
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The volume of a sphere whose diameter is 18 centimeters is _π cubic centimeters
Answer:
12 pi cubic cm
Step-by-step explanation:
The double box plot shows the number of hours Steven and Zack spent doing homework. Compare
the centers and spreads of the two populations. Write an inference you can make about the two
populations
Steven's population has a slightly higher median compared to Zack's population.
It can be observed that Steven's population has a larger spread compared to Zack's population.
We have,
Centers:
Zack's:
The median of Zack's population is 1, meaning that half of the data falls below 1 and half falls above it.
Steven's population: The median of Steven's population is 1.25, indicating that half of the data falls below 1.25 and half falls above it.
From the given information, it appears that Steven's population has a slightly higher median compared to Zack's population.
Spreads:
Zack's:
The interquartile range (IQR) for Zack's population is Q3 - Q1 = 1.25 - 0.75 = 0.5.
Steven's:
The IQR for Steven's population is Q3 - Q1 = 2 - 1 = 1.
From the given information, it can be observed that Steven's population has a larger spread (as measured by the IQR) compared to Zack's population.
Thus,
Steven's population has a slightly higher median compared to Zack's population.
It can be observed that Steven's population has a larger spread compared to Zack's population.
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HELP DUE IN 10 MINS! Use right triangle trig to solve for the missing angles. Round all answers to the nearest degree (whole number).
x=??
Answer:
relationship between base and perpendicular is given by tan angle
tan ?=perpendicular./base
tan?=5/16
?=tan-¹(5/16)=17.35=17
You are given that cos(A)=−4/5, with A in Quadrant II, and sin(B)=−24/25, with B in Quadrant III. Find sin(A+B). Give your answer as a fraction.
The value of sin(A+B) is 32/25. We can use the trigonometric identities to find the value of sin(A+B). First, we need to determine the value of cos(B) using the given information about sin(B) and the quadrant of angle B.
Since sin(B) is negative and B is in Quadrant III, we can deduce that cos(B) must be positive. Using the Pythagorean identity sin^2(B) + cos^2(B) = 1, we can find cos(B) as follows:
sin^2(B) + cos^2(B) = 1
(-24/25)^2 + cos^2(B) = 1
576/625 + cos^2(B) = 1
cos^2(B) = 1 - 576/625
cos^2(B) = 49/625
cos(B) = √(49/625) = 7/25
Next, we can use the sum-to-product identity for sine:
sin(A + B) = sin(A) * cos(B) + cos(A) * sin(B)
Substituting the given values:
sin(A + B) = (−4/5) * (7/25) + (−24/25) * (−4/5)
sin(A + B) = −28/125 + 96/125
sin(A + B) = 68/125
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Consider that △ABC is an equilateral triangle, and AD is a perpendicular bisector of △ABC. Equilateral triangle A B C is cut by perpendicular bisector A D. If AB = 2x, complete the statements below. 2 + (AD)2 = (2x)2 (AD)2 = x2 – x2 (AD)2 = x2 AD =
Answer: AD = x√3
AD² = 3x²
Step-by-step explanation:
If ΔABC is equilateral and is cut by a perpendicular, then the resulting two triangles (ΔBDA & ΔBDC) are both 30°-60°-90° triangles where
∠A = 30°
∠D = 90°
∠B = ∠C = 60°
In a 30° - 60° - 90° triangle, the corresponding sides have lengths of
↓ ↓ ↓
b b√3 2b
Thus: BD = CD = b
AD = b√3
AB = AC = 2b
Since it is given that AB = 2x, replace the "b" above" with an "x"
BD = x, CD = x
AD = x√3
AB = 2x, AC = 2x
I'm not sure what the statements are because they are squished together but hopefully the information I provided will allow you to finish answering the question.
Answer:
X
4
3
X
Step-by-step explanation:
Correct on Edge 2020
When solving the equation -3a^2=7a-3 using the quadratic formula, what values should be used for a, b, c
1. a=3, b=7, and c=3
2. a= -3, b=7, and c =-3
3. 3, b=-7, and c=-3
4. a= -3, b= -7, and c=3
Hello you have reached a reference page. The first to answer this question will get brainliest and a 5 star review. If it is incorrect you will not get the brainnliest and your answer will be deleted. Here is the question. You will also need to give a very specific explanation.
\(x^2-5x+6=0\)
2. Kiyoshi has three quarters, five dimes, and one 22 nickel in her piggy bank. Identify Kiyoshi's
total amount of money and the operation used to calculate it.
A/$1.10. addition
B/ $1.10, subtraction
C/$1.30, addition
D/$1.30, subtraction
Answer:
(3 X .25)+(5 X .1)+(1 X .05)=1.30, addition and multiplication
Step-by-step explanation:
I'm guessing you meant 1, not 122 nickels
[Question 1] You are working with a population of crickets. Before the mating season you check to make sure that the population is in Hardy-Weinberg equilibrium, and you find that the population is in equilibrium. During the mating season you observe that individuals in the population will only mate with others of the same genotype (for example Dd individuals will only mate with Dd individuals). There are only two alleles at this locus ( D is dominant, d is recessive), and you have determined the frequency of the D allele =0.6 in this population. Selection acts against homozygous dominant individuals and their survivorship per generation is 80%. After one generation the frequency of DD individuals will decrease in the population. F
:According to the question:You are working with a population of crickets. Before the mating season you check to make sure that the population is in Hardy-Weinberg equilibrium, and you find that the population is in equilibrium.
During the mating season you observe that individuals in the population will only mate with others of the same genotype (for example Dd individuals will only mate with Dd individuals). There are only two alleles at this locus ( D is dominant, d is recessive), and you have determined the frequency of the D allele =0.6 in this population. Selection acts against homozygous dominant individuals and their survivorship per generation is 80%. After one generation the frequency of DD individuals will decrease in the population.
According to the Hardy-Weinberg equilibrium equation p² + 2pq + q² = 1, the frequency of D (p) and d (q) alleles are:p + q = 1Thus, the frequency of q is 0.4. Here are the calculations for the Hardy-Weinberg equilibrium:p² + 2pq + q² = 1(0.6)² + 2(0.6)(0.4) + (0.4)² = 1After simplifying, it becomes:0.36 + 0.48 + 0.16 = 1This means that the population is in Hardy-Weinberg equilibrium. This is confirmed as the frequencies of DD, Dd, and dd genotypes
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What is the value of x? Enter your answer in the box. x = A triangle with midsegment parallel to the base. the left side is labeled 40 cm below the midsegment and 5 cm above the midsegment. the right side is labeled 2 x + 10 c m below the midsegment and 3 c m above the midsegment.
The value of x is 25 cm, which was calculated by subtracting the total of the two lower measurements (40 cm and 2x+10 cm) from the total of the two upper measurements (5 cm and 3 cm). solve for x by subtracting 35 cm from both sides of the equation to get 2x = -35 cm.
x = 25 cm
We can calculate the value of x by subtracting the total of the two lower measurements (40 cm and 2x+10 cm) from the total of the two upper measurements (5 cm and 3 cm).
Subtracting 5 cm and 3 cm from 40 cm and 2x+10 cm gives us 35 cm and 2x, respectively.
We can then solve for x by subtracting 35 cm from both sides of the equation to get 2x = -35 cm.
Dividing both sides by 2 gives us x = -17.5 cm.
Since x must be a positive value, the correct answer is x = 25 cm.
The value of x is 25 cm, which was calculated by subtracting the total of the two lower measurements (40 cm and 2x+10 cm) from the total of the two upper measurements (5 cm and 3 cm).
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Estimate σA and σB using the loan allocation deviation formula.
A. σ(A) = 12.25% ; σ(B) = 14.14%
B. σ(A) = 17.32% ; σ(B) = 20.0%
C. σ(A) = 16.33% ; σ(B) = 14.14%
D. σ(A) = 14.14% ; σ(B) = 16.33%
The formula for allocation deviation is as follows:σA = (w1σ1^2 + w2σ2^2 + … + wσn^2)^(1/2)σB = (w1σ1^2 + w2σ2^2 + … + wσn^2)^(1/2)
Here,
σ1 = 15%
σ2 = 10%
w1 = 50%,
w2 = 50%
Substituting the values in the above formula:
σA = (0.5 × 0.15^2 + 0.5 × 0.10^2)^(1/2)
= (0.0225 + 0.0100)^(1/2)
= 0.0158 = 1.58%σB
= (0.5 × 0.15^2 + 0.5 × 0.10^2)^(1/2)
= (0.0225 + 0.0100)^(1/2)
= 0.0158
= 1.58%
Hence, the correct option is
D. σ(A) = 14.14%;
σ(B) = 16.33%.
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I need help with this it’s URGENT!
Answer:
y = -7
Step-by-step explanation:
A horizontal line has an equation of the form
y = b,
where b = y-intercept
The y-intercept is -7, so the equation is
y = -7
Answer:
Y=-7
Step-by-step explanation:
No matter what x equals, y has to be equal to negative 7. For example i chose 3 to by X, the equation would still be (3,-7).
the weights of bags of cement are normally distributed with a mean of 53 and a standard deviation of 2 a. what is the likelihood that a randomly selected individual bag has a weight greater than 50
The likelihood that a randomly selected bag of cement weighs more than 50 is approximately 93.32%
When dealing with normally distributed data, we use the mean and standard deviation to determine the likelihood of certain events occurring. In this case, the mean weight of bags of cement is 53 with a standard deviation of 2.
To find the likelihood that a randomly selected bag has a weight greater than 50, we need to calculate the z-score for 50. The z-score tells us how many standard deviations away a particular value is from the mean.
z = (X - μ) / σ
where X is the value we're interested in (50), μ is the mean (53), and σ is the standard deviation (2).
z = (50 - 53) / 2 = -1.5
A z-score of -1.5 means that a weight of 50 is 1.5 standard deviations below the mean. To find the likelihood of a bag weighing more than 50, we can use a z-table or a calculator to find the area to the right of this z-score.
Looking up a z-score of -1.5, we find that the area to the left is approximately 0.0668, which means the area to the right (the likelihood of a bag weighing more than 50) is:
1 - 0.0668 = 0.9332
Thus, the likelihood that a randomly selected bag of cement weighs more than 50 is approximately 93.32%.
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An equivalent form for a conditional statement is obtained by reversing and negating the antecedent and consequent. true or false
False. The statement you described is not an equivalent form for a conditional statement. The process you mentioned, which is reversing and negating the antecedent and consequent, is known as forming the contrapositive of the statement.
A conditional statement has the form "If P, then Q," where P is the antecedent and Q is the consequent. The contrapositive is formed by negating both the antecedent and consequent, and reversing their order: "If not Q, then not P." The contrapositive is equivalent to the original conditional statement.
However, simply reversing the antecedent and consequent without negating them gives you the converse, which is "If Q, then P." The converse is not equivalent to the original conditional statement.
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Find the perimeter of the figure.
8 cm
10 cm
Answer:
12.565 + 8 + 10 + 10 = 40.565
Find the circumfrence of the circle and divide that by 2. Then add the other sides.
the operation heap-delete.a; i / deletes the item in node i from heap a. give an implementation of heap-delete that runs in o.lg n/ time for an n-element max-heap. Explain in detail why it is O(lg n)
To implement heap-delete operation in a max-heap, we need to remove the maximum element from the heap. Here are the steps to achieve that:
Replace the root node (maximum element) with the last element of the heap.
Remove the last element from the heap.
Check if the heap property is violated. If yes, swap the root node with the larger of its two children. Repeat until the heap property is restored.
This algorithm runs in O(lg n) time because each swap operation reduces the distance between the node and its correct position in the heap by a factor of at least 2. Therefore, at most O(lg n) swaps are required to restore the heap property.
Let's look at the worst-case scenario where we have to swap the root node all the way down to the leaf level. In this case, we need to perform log_2 n swaps. Each swap takes constant time, so the total time complexity of the algorithm is O(lg n). Therefore, the implementation of heap-delete operation runs in O(lg n) time for an n-element max-heap.
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Can I get a answer
Answer:
answer is d
Step-by-step explanation:
pretty ez
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Write an equation that represents the relationship between angle, FCD and angle HCD :)
Answer:
Angle FCD + angle HCD = 180 degrees
Step-by-step explanation
These angles are supplementary, meaning they are basically made from a line cut in half. Supplementary angles add up to 180 degrees, since a straight line is 180 degrees. So the two angles put together must equal 180 degrees.
Image WXYZ has the following vertices - W(3, -4), X(1, 0), Y(5, -1), Z(4, -4). Image WXYZ is rotated 180 degrees about the origin. What are the vertices of the transformed image?
A
X'(5, 0), Y'(1, -1), Z'(2, -4), W'(3, -4)
B
W'(-2, -2), X'(-4, 2), Y'(0, 1), Z'(-1, -2)
C
W'(-3, 4), X'(-1, 0), Y'(-5, 1), Z'(-4, 4)
D
W'(-3, -2), X'(-5, 2), Y'(-1, 1), Z'(-2, -2)
Answer:
Step-by-step explanation:
c
Answer:
C
W'(-3, 4), X'(-1, 0), Y'(-5, 1), Z'(-4, 4)
Step-by-step explanation:
yea
find thr value of x. express your answer in simplest radical form
Two bags contain marbles. Bag A contains 112 marbles, and Bag B contains 140 marbles. What percent fewer marbles does Bag A have than Bag B?
Answer:
20%
Step-by-step explanation:
sorry if i am wrong