Answer:
-5y-4=-(x+3)2-1/(2)
Step-by-step explanation:
ANSWER: It's D
Have a great day!!!
how large should we take n in order to guarantee that the trapezoidal and midpoint rule approximations for 2 1 1 x dx are accurate to within 0.00002?
To guarantee accuracy within 0.00002 for trapezoidal and midpoint rule approximations for ∫21 1x dx, we must take n ≥ 92 for the trapezoidal rule and n ≥ 65 for the midpoint rule.
To guarantee that the trapezoidal and midpoint rule approximations for ∫21 1x dx are accurate to within 0.00002, we need to find the value of n that satisfies the following inequalities:
|ET| ≤ (b-a)³ / (12n²) * M₂ for the trapezoidal rule
|EM| ≤ (b-a)³ / (24n²) * M₂ for the midpoint rule
Where M₂ is the maximum value of the second derivative of the function f(x) = 1/x on the interval [1,2], b-a = 2-1 = 1, and ET and EM are the true errors for the trapezoidal and midpoint rules, respectively.
Taking the second derivative of f(x), we get f''(x) = 2/x³. The maximum value of this function on the interval [1,2] is M₂ = 2.
Plugging in the values of M₂, b-a, and the desired accuracy into the inequalities, we get:
|ET| ≤ (1)³ / (12n²) * 2 ≤ 0.00002
|EM| ≤ (1)³ / (24n²) * 2 ≤ 0.00002
Solving for n, we get:
n² ≥ (1)³ / (12 * 0.00002) * 2 = 8333.33 for the trapezoidal rule
n² ≥ (1)³ / (24 * 0.00002) * 2 = 4166.67 for the midpoint rule
Taking the square root of both sides, we get:
n ≥ 91.29 for the trapezoidal rule
n ≥ 64.55 for the midpoint rule
Therefore, to guarantee that the trapezoidal and midpoint rule approximations are accurate to within 0.00002, we should take n ≥ 92 for the trapezoidal rule and n ≥ 65 for the midpoint rule.
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When Mei solved the system of equations below, she got the
solution x = 4, y = 2. Without solving the system, yourself, can you
tell her whether this solution is correct?
4x + 3y = 22
x - 2y = 0
No
yes
Both
Answer:
yes
yes is answer of this equation
Answer:
answer is yes
Step-by-step explanation:
If {x, y, z, w} is a linearly independent set in R", which of the following sets is linearly independent? - 0 {x - y, y - 2, Z – w, w - x} {x+y, y + z, 2 + x} 0 {x - y, y – 2, Z – x} O {x+y, y
The set {x - y, y - 2, z - w, w - x} is linearly independent.
A set of vectors is linearly independent if no vector in the set can be expressed as a linear combination of the other vectors in the set. To determine if a set is linearly independent, we can set up a linear system of equations and check if the only solution is the trivial solution (all coefficients equal to zero).
In the given set {x - y, y - 2, z - w, w - x}, let's assume we have a linear combination of these vectors that equals the zero vector: a(x - y) + b(y - 2) + c(z - w) + d(w - x) = 0, where a, b, c, and d are coefficients. Expanding this equation, we get ax - ay + by - 2b + cz - cw + dw - dx = 0. Rearranging the terms, we have (a - d)x + (b - a + c) y + (c - w)z + (d - b)w = 0. To satisfy this equation, all coefficients must be equal to zero. This implies a - d = 0, b - a + c = 0, c - w = 0, and d - b = 0. Solving these equations, we find a = d, b = (a - c), c = w, and d = b. Since there is no non-trivial solution for these equations, the set {x - y, y - 2, z - w, w - x} is linearly independent.
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Jerome is making beef stew for his family. The recipe calls for 3.5 pounds (lbs.) of stew meat. He notices that he has 1.25 pounds (lbs.) in his refrigerator. How much stew meat should buy when he goes to the grocery in order to have enough? a) What operation (add, subtract, multiply or divide) would you use to solve this? b) How did you know?
EXPLANATION
Let's see the facts:
Call for---> 3.5 lbs of stew meat
Refrigerator -------> 1.25 lbs stew meat
He would buy:
Required - Available ----> 3.5 - 1.25 = 2.25 lbs of stew meat
The operation that we apply is subtraction because 3.5lbs (required) is greater than 1.25lbs (available).
PLEASEEEE HELPPPP ME WITH THIS QUESTION.
Answer:
Step-by-step explanation:
1.) Use the line drawing tool to draw the equation Y=1+1.50X Label your line 'A'. 2.) Use the line drawing tool to draw the equation Y= 18-1.25X Label your line 'B' 3.) Use the point drawing tool to indicate the point where both equations are equal. Label this point 'Equilibrium Carefully follow the instructions above, and only draw the required objects.
The line drawing tool is used to draw the equations Y=1+1.50X and Y= 18-1.25X and the intersection point is labeled.
To draw the lines and indicate the point of intersection, you can follow these steps:
1. Draw a coordinate system on a piece of paper or using a drawing software.
2. For line A, plot two points on the coordinate system using the equation Y = 1 + 1.50X. Choose any two X values and calculate the corresponding Y values using the equation.
3. Connect the two points with a straight line and label it as line A.
4. For line B, plot two points on the coordinate system using the equation Y = 18 - 1.25X. Choose any two X values and calculate the corresponding Y values using the equation.
5. Connect the two points with a straight line and label it as line B.
6. Find the point of intersection between line A and line B. This is the point where both equations are equal. You can calculate this point by solving the system of equations Y = 1 + 1.50X and Y = 18 - 1.25X simultaneously.
7. Once you find the X and Y values of the point of intersection, mark it on the coordinate system and label it as 'Equilibrium'.
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A group of 105 visitors goes on the snow vehicle tour. Each vehicle can carry 9 visitors. How many snow vehicles will be needed for all the visitors?
Answer:
12 because you have to divide 105 by 9 2inch is 11.6666666... so you round up and get 12
the base-ten representation for 19!19! is 121121, 6t56t5,100100,40m40m, 832832, h00h00, where tt, mm, and hh denote digits that are not given. what is t m ht m h?
the base-ten representation for 19! = 121,6T5,100,40M,832,000 then
H+M+T =12
19! has three 5s so it will end with three 0s.
Hence H = 0
19! = 121,6T5,100,40M,832,000 = 121,6T5,100,40M,832 * 1000
19! has many 2s. So M832 will be divisible by 16 (last 4 digits).
So M000 + 832 is divisible by 16. 832 is completely divisible by 16. Since 16*5 = 80, 8000 must be divisible by 16.
M = 8
19! = 121,6T5,100,408,832,000
Since 19! is divisible by 9, sum of all digits must be divisible by 9.
1+2+1+6+T+5+1+4+8+8+3+2 = T + 41
To make this divisible by 9, T must be 4.
H+M+T = 0 + 8 + 4 = 12
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is the point below which a specified percentage of the observations fall.
In mathematics, the point below which a specified percentage of the observations fall is commonly referred to as the percentile.
A percentile is a measure that indicates the relative position of a particular value within a dataset.
For example, if a value is at the 80th percentile, it means that 80% of the observations in the dataset are below that value, and only 20% of the observations are above it.
Percentiles are often used to analyze and understand the distribution of data, especially in fields such as statistics, probability, and data analysis. They provide insights into how individual data points compare to the overall dataset and help identify outliers or extreme values.
A percentile is a statistical measure that indicates the relative standing of a particular value within a dataset. It represents the point below which a specified percentage of the observations or data points fall. Percentiles are primarily used to understand the distribution of data and analyze how individual values compare to the overall dataset.
To calculate a percentile, the dataset is arranged in ascending order, from the smallest value to the largest value. The position of a specific percentile is then determined based on the percentage of data points below it. For example, the 75th percentile represents the value below which 75% of the data points fall.
Percentiles are commonly used in various fields, including statistics, probability, and data analysis. They provide valuable insights into the spread, variability, and distribution of data. Here are a few key points to consider:
1. Median: The median is the 50th percentile, representing the value that divides the dataset into two equal halves. It is a measure of central tendency and provides information about the middle point of the distribution.
2. Quartiles: Quartiles divide the dataset into four equal parts. The first quartile, or the 25th percentile (Q1), represents the value below which 25% of the data points fall. The third quartile, or the 75th percentile (Q3), represents the value below which 75% of the data points fall. The difference between Q3 and Q1 is known as the interquartile range (IQR) and provides insights into the spread of the middle 50% of the data.
3. Percentile Ranks: Percentile ranks indicate the percentage of data points that are below a specific value. For example, if a student scores in the 80th percentile on a standardized test, it means they performed better than 80% of the test-takers.
4. Outliers: Percentiles can be useful in identifying outliers, which are data points that significantly deviate from the rest of the dataset. Extremely high or low percentiles may indicate unusual or extreme values that warrant further investigation.
5. Normal Distribution: In a normal distribution, the 50th percentile (median) coincides with the mean and mode, and specific percentiles have known standard deviations from the mean (e.g., the 68-95-99.7 rule).
Percentiles are versatile tools for summarizing and analyzing data, providing valuable insights into the distribution and relative positions of individual values. They enable comparisons and help make informed decisions based on the characteristics of a dataset.
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i will give you brainliest if it’s correct
If the radius of the circle above is 10 in, what is the area of the circle?
A.
400 sq in
B.
20 sq in
C.
10 sq in
D.
100 sq in
Reset
Answer:
A 400 sq in
Step-by-step explanation:
10^2*3.14=314, I just rounded to the closest answer sorry if it's wrong.
a train travels north at 103km/hr is it a axample of speed ,velocity ,acceleration or speed and acceleration
Answer:
get photomath
Step-by-step explanation:
When finding the multiples of 2, how can I figure out the 6th term?
Answer:
2×1=2
2×2=4
2×3=6
2×4=8
2×5=10
2×6=12 ==> Answer
Please help as soon as possible
The data on the right represent the number of live multiple-delivery births (three or more babies) in a particular year for women 15 to 54 years old. Use the data to complete parts (a) through (d) below.
Age 15-19 20-24 25-29 30-34 35-39 40 44 45-54 Number of Multiple Births 89 508 1631 2822 1855 374 119 (a) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother 30 to 39 years old P(30 to 39) =______
(Type an integer or decimal rounded to three decimal places as needed.)
(b) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was not 30 to 39 years old. P(not 30 to 39)=_____ (Type an integer or decimal rounded to three decimal places as needed.) (c) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was less than 45 years old. P(less than 45)=_____
(Type an integer or decimal rounded to three decimal places as needed.) (d) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was at least 40 years old. Interpret this result. Is it unusual? Find the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was at least 40 years old. P(at least 40) =_____ (Type an integer or decimal rounded to three decimal places as needed.) Interpret this result. Select the correct choice below and fill in the answer box to complete your choice. (Type a whole number.) A. If 1000 multiple births for women 15-54 years old were randomly selected, we would expect about of them to involve a mother who was at least 40 years old. B. If 1000 multiple births for women 15-54 years old were randomly selected, exactly of them would involve a mother who was at least 40 years old. Is a multiple birth involving a mother who was at least 40 years old unusual? A. Yes, because the probability of a multiple birth involving a mother who was at least 40 years old is greater than 0.05.
B. Yes, because the probability of a multiple birth involving a mother who was at least 40 years old is less than 0.05. C. No, because the probability of a multiple birth involving a mother who was at least 40 years old is greater than 0.05. D. No, because the probability of a multiple birth involving a mother who was at least 40 years old is less than 0.05.
Using the given data on the number of live multiple-delivery births for women aged 15 to 54, we need to calculate probabilities related to the age groups of the mothers. The probability of a randomly selected multiple birth involving a mother aged 30 to 39 will be determined, as well as the probabilities of not being in the age range, being less than 45, and being at least 40. Finally, we need to interpret whether a multiple birth involving a mother aged at least 40 is unusual.
(a) To calculate the probability of a randomly selected multiple birth involving a mother aged 30 to 39, we sum the number of multiple births in that age group and divide it by the total number of multiple births for women aged 15 to 54.
P(30 to 39) = 2822 / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)
(b) To find the probability of a randomly selected multiple birth involving a mother who is not aged 30 to 39, we subtract the probability found in part (a) from 1.
P(not 30 to 39) = 1 - P(30 to 39)
(c) To determine the probability of a randomly selected multiple birth involving a mother aged less than 45, we sum the number of multiple births for age groups below 45 and divide it by the total number of multiple births for women aged 15 to 54.
P(less than 45) = (89 + 508 + 1631 + 2822 + 1855 + 374) / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)
(d) To find the probability of a randomly selected multiple birth involving a mother aged at least 40, we sum the number of multiple births for age groups 40-44 and 45-54, and divide it by the total number of multiple births for women aged 15 to 54.
P(at least 40) = (374 + 119) / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)
Interpretation: The answer to part (d) will determine whether a multiple birth involving a mother aged at least 40 is unusual. If the probability is less than 0.05, it can be considered unusual. Therefore, we need to compare the calculated probability to 0.05 and select the correct choice.
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for this question choose as many answers as are correct. if the earth reversed its direction of spin
For the given condition- If the earth reversed its direction of spin. Then,
The Sun will indeed rise in the west & set in the east, The stars would revolve clockwise around Polaris.The Moon will indeed rise westward and set eastward.What is spinning of Earth?The Earth is constantly in motion. Every day, the Earth completes one full rotation around its axis. The axis is an imaginary line that runs through the earth from the North Pole to the South Pole.
Some key features regarding the Earth's rotation are-
The sun appears to move across the sky as the Earth rotates, but it is actually the Earth that's also spinning. One rotation takes 24 hours hours to complete, which explains why there are 24 hours in a day.In the other words, if a sun is visible in the morning beginning around 6:00 AM, the Earth will have rotated completely approximately by the next morning at 6:00 AM, and you will see the sun in roughly the same location.To know more about rotation of earth, here
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The complete question is -
If you are standing at the Earth's North Pole.
For this question choose as many answers as are correct. if the earth reversed its direction of spin
(1. - 2.9), (3, - 1.9), (3, 3), (1, 2)
Fallon connects the points to make a polygon. Which shape does she draw?
f
A
square
B
rectangle
С
trapezoid
D
parallelogram
4x – 3x + 2 = 4(3x – 5)
Answer:
4x-3x+2=4(3x-5)
1x+2=12x-20
22=11x
2=x
Step-by-step explanation:
please pass this on... ( #helpsavelives )
Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life
Answer:
x=2
Step-by-step explanation:
4x-3x+2=12x-20
x+2=12x-20
2=11x-20
22=11x
x=2
How many 90° turns will the minute hand make between 9:00 and 10:00?
Answer:
It will make 4 90° turns, because each 1/4 turn or 15 minutes is 90°.
how do you factor this trinomial? 2x² + 9x - 18
Factor by grouping.
(2x + 3)(x − 6)
Answer:
(2x-3) (x+6)
Hope this helps :)
Pick a expression that matches the written description Subtract a from the quotient of 6 and B
Answer:
(6 / b) - a
Step-by-step explanation:
Subtract a
- a
quotient of 6 and b
6 / b
An expression that is equivalent to the statement Subtract a from the quotient of 6 and B is 6/b - a
How to write equivalent expressionGiven statement
Subtract a from the quotient of 6 and B
The quotient of 6 and B can be written as 6/Ba subtracted from 6/B is written as6/B - a
Therefore, the correct option equivalent to the statement is option A) 6/B - a
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A TV costs £400. David pays a deposit of £150.
Express David's deposit as a percentage of the full price of the TV.
Give your answer to 1 decimal place.
Answer:
37.5
Step-by-step explanation:
150/400*100 is the percentage
Answer:
37.5
Step-by-step explanation:
150/400 is .375 * 100 = 37.5
use this formula N/B*100
number divided by base x 100
Helpppppp MEEEEE PLSSSS
3(y-3)=-2y+6
it’s on my hw i don’t understand
explanation
3(y-3)=-2y+6
3y-9=-2y+6
5y-9=6
5y=15
y=3
Make a the subject of the formula v = u + at.
Hence, find the value of a when t = 4, u = 10 and v=50.
Step-by-step explanation:
v = u + at
v-u = at
a = (v -u)/t
When t = 4, u=10, v=50
a = (50-10)/4
a= 40/4
a = 10
In Hoop Fever, a player has 60 seconds to make as many baskets as possible. Morgan and Tim play head-to-head every Tuesday. Let M = the number of baskets made by Morgan and T= the number of baskets made by Tim in a randomly selected match. Based on previous matches, we know that ow = 5.7 and or = 10.3. Assume that these two random variables are independent. Define D= M - T. Earlier, we found that up = 8.6. Calculate and interpret the standard deviation of D.
The standard deviation of D= M - T is the measure of the spread of the distribution of D. It is calculated by subtracting the mean of D (uD = 8.6) from each observed value of D and then squaring the result.
The variance is then calculated by summing up all of these squared deviations and dividing by the number of observations. The standard deviation is simply the square root of the variance. In this case, the standard deviation of D is 9.5.
This means that the spread of the values of D is 9.5, which means that Morgan and Tim’s scores are spread out over a range of 19 points. This implies that when Morgan and Tim play Hoop Fever, the difference between their scores is usually around 8.6 points, but on occasion can be much higher or lower.
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Consider the same firm with production function: q=f(L,K) = 20L +25K+5KL-0.03L² -0.02K² Make a diagram of the total product of labour, average product of labour, and marginal product of labour in the short run when K = 5. (It is ok if this diagram is not to scale.) Does this production function demonstrate increasing marginal returns due to specialization when L is low enough? How do you know?
The MP curve initially rises to its maximum value because of the specialized nature of the fixed capital, where each additional worker's productivity rises due to the marginal product of the fixed capital.
Production Function: q = f(L,K) = 20L + 25K + 5KL - 0.03L² - 0.02K²
Given, K = 5, i.e., capital is fixed. Therefore, the total product of labor, average product of labor, and marginal product of labor are:
TPL = f(L, K = 5) = 20L + 25 × 5 + 5L × 5 - 0.03L² - 0.02(5)²
= 20L + 125 + 25L - 0.03L² - 5
= -0.03L² + 45L + 120
APL = TPL / L, or APL = 20 + 125/L + 5K - 0.03L - 0.02K² / L
= 20 + 25 + 5 × 5 - 0.03L - 0.02(5)² / L
= 50 - 0.03L - 0.5 / L
= 49.5 - 0.03L / L
MP = ∂TPL / ∂L
= 20 + 25 - 0.06L - 0.02K²
= 45 - 0.06L
The following diagram illustrates the TP, MP, and AP curves:
Figure: Total Product (TP), Marginal Product (MP), and Average Product (AP) curves
The production function demonstrates increasing marginal returns due to specialization when L is low enough, i.e., when L ≤ 750. The marginal product curve initially increases and reaches a maximum value of 45 units of output when L = 416.67 units. When L > 416.67, MP decreases, and when L = 750 units, MP becomes zero.
The MP curve's initial increase demonstrates that the production function displays increasing marginal returns due to specialization when L is low enough. This is because when the capital is fixed, an additional unit of labor will benefit from the fixed capital and will increase production more than the previous one.
In other words, Because of the specialised nature of the fixed capital, the MP curve first climbs to its maximum value, where each additional worker's productivity rises due to the marginal product of the fixed capital.
The APL curve initially rises due to the MP curve's increase and then decreases when MP falls because of the diminishing marginal returns.
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Marshall spins a prize wheel with 4 segments of equal size, one of which is labeled "winner. "
Let X = the number of spins until Marshall wins a prize.
What is the probability that Marshall wins a prize on his 2nd spin?
Recall: P(X = k) = (1 – p)k–1p
Round to 4 decimal places
The probability that Marshall wins a prize on his second spin = 0.1875
Consider an event X = the number of spins until Marshall wins a prize.
Given that a prize wheel with 4 segments of equal size, one of which is labeled winner.
So, the sample space n = 4
For given event x, the possible outcomes = 1
Using the formula of probability,
p = x/n
p = 1/4
p = 0.25
So, the probability of success p = 0.25
q = 1 - p
q = 1 - 0.25
q = 0.75
To find the probability that Marshall wins a prize on his 2nd spin.
Using formula, \(P(X = k) = (1 - p)^{k-1}p\)
For k = 2,
\(P(X = 2) = (1 - 0.25)^{2-1}\times 0.25\)
P(X = 2) = 0.75 × 0.25
P(X = 2) = 0.1875
Thus, the required probability is 0.1875
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Please Help!!
Cherry Hill Orchards produced 500 tons of cherries during their first year of business, 2012. Since then, the cherry harvest continues to increase in production by 5. 7% over the previous year.
Write an exponential function, f(x), that models the tons of cherries produced by Cherry Hill Orchards x years after 2012.
Enter your answer by filling in the boxes.
f(x)= -------- * ( )^x
Answer:
\(f(x)=500*(.057)^x\)
Step-by-step explanation:
25 points?
Suri's age is 4 less than 3 times her cousin's age. Suri is 17 years old. Which method can be used to find c, her cousin's age?
1. Subtract 4 from 17, then divide by 3.
2. Solve the equation 4c - 3 = 17.
3. Add 4 to 17, then multiply by 3.
4. Solve the equation 3c - 4 = 17.
1, 2, 3, or 4? Thanks :)
Answer:
solve the equation 3c-4=17
choice 4
Step-by-step explanation:
3c-4=17
3c=17+4
3c=21
3c÷3=21÷3
c=7
age of cousin =7
What is the range of f(x) = 3x + 9?
{y | y < 9}
{y | y > 9}
{y | y > 3}
{y | y < 3}
The range of the function f(x) = 3x + 9 option is B: {y | y > 9}.
What is the range of a function?The range is the set of all values which the given function can output.
we have the function as
f(x) = 3x +9
The linear function has a range of all real numbers that is (-∞, ∞).
f(x) can take any real value.
x = -3
The correct option is B: {y | y > 9}.
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