Answer:
72.1%
2
Step-by-step explanation:
Please give me brainliest, I really need it.
What is the equation of this line?
A.) y=1/2x-2
B.) y=2x-2
C.) y=-1/2-2
D.) y=-2x-2
Answer:
Plug the x and y values to get it
Step-by-step explanation:
Write a polynomial f(x) that satisfied the given conditions. polynomial of lowest degree with zeros of 1/5(multiplicity 2) and -1/4(multiplicity 1) and with f(0)=-2
The polynomial with zeroes 1/5 and -1/4 with multiplicity 2 and 1 respectively and f(0) = -2 will be f(x) = -200x³ + 30x²/20 + 12x + 1/100
The multiplicity of any zero is the power the facto form of that zero has.
Therefore, 1/5 with multiplicity 2 and -1/4 with multiplicity 1 will be
(x- 1/5)² (x - (-1/4))
= (x- 1/5)² (x+ 1/4)
It is clear here that the degree of this polynomial will be 3.
We also know that f(0) = -2
Therefore, the polynomial will have a constant term of -2
Let the polynomial be ax³ + bx² + cx - 2
where a, b, and c are real numbers.
Therefore,
q(x- 1/5)² (x+ 1/4) = ax³ + bx² + cx - 2
q(x² - 2x/5 + 1/25)(x + 1/4) = ax³ + bx² + cx - 2
q(x³ - 2x²/5 + x/25 + x²/4 - x/10 + 1/100) = ax³ + bx² + cx - 2
or, q(x³ - 3x²/20 - 3x/50 + 1/100) = ax³ + bx² + cx - 2
on comparing we get
q/100 = -2
or, q = -200
Hence we get the polynomial
f(x) = -200x³ + 30x²/20 + 12x + 1/100
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Find the Taylor polynomial of degree 3 for sin(x), for x near 0:
P3(x) = ?
Approximate sin(x) with P3(x) to simplify the ratio:
(sin x)/x= ?
Using this, conclude the limit:
limx0 (sin x) / x = ?
If anyone helps me, I will reward points
In circle E with \text{m} \angle DEF= 30^{\circ}m∠DEF=30 ∘ , find the angle measure of minor arc \stackrel{\Large \frown}{DF}. DF ⌢ .
The measure of arcDF from the figure shown is 30 degrees
Circle geometryBased on the symmetry of the figure given, we can say that the measure of<DEF is equal to the minor arc DF
Given the following parameters
m∠DEF=30 degrees
Since m∠DEF = arcDF, hence the measure of arc DF is 30degrees
The measure of arcDF from the figure shown is 30 degrees
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You are asked to estimate the water flow rate in a pipe of radius 2m at a remote area location with a harsh environment. You already know that velocity v varies along the radial location, but you do not know how it varies. The flow rate Q is given by
Q = ∫(0 to 2) 2 π r v dr
To save money, you are allowed to put only two velocity probes (these probes send the data to the central office in New York by satellite). Radial location r is measured from center of the pipe, i.e., r = 0 is the center of the pipe, and r = 2m is the pipe radius. The radial locations you will suggest for the two velocity probes for the most accurate calculation of the flow rate are
0.42, 1.42
0.00, 1.00
0.42, 1.58
0.58, 1.58
To estimate the water flow rate in the pipe, we need to measure the velocity at two radial locations and then use the integral formula to calculate the flow rate. The formula tells us that the flow rate is equal to the integral of 2πrv with respect to r, where r is the radial location, v is the velocity, and the limits of integration are 0 to 2 (since the pipe has a radius of 2m).
Since we don't know how the velocity varies along the radial location, we need to choose two locations that will give us the most accurate estimate of the flow rate. The best locations to choose are where the velocity varies the most, which is usually near the center and near the edge of the pipe.
Based on this, the two radial locations that would give us the most accurate calculation of the flow rate are 0.42 and 1.58. These locations are close to the center and the edge of the pipe, respectively, and will give us a good estimate of how the velocity varies along the radial location.
Therefore, the answer is 0.42, 1.58.
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Emily is playing a board game that has a spinner divided into equal sections numbered 1 to 18.
The probability of the spinner landing on and even number or a multiple 3 is __. The probability of the spinner landing on an odd number or a number between 4 and 15(both numbers excluded) is __.
the answer is two thirds because math is ez
According to the Bureau of Transportation, 80.3% of American Airlines f lights ar-rive on time. What is the probability of randomly selecting an American Airlines f light that does not arrive on time?
The probability of a randomly selected American Airlines flight not arriving on time is 0.197 or 19.7%.
Probability of delayed American Airlines flight?If 80.3% of American Airlines flights arrive on time, then the probability of a randomly selected American Airlines flight arriving on time is 0.803.
To find the probability of a randomly selected American Airlines flight not arriving on time, we can subtract this probability from 1 since the sum of all possible outcomes must equal 1.
Probability of not arriving on time = 1 - Probability of arriving on time
Probability of not arriving on time = 1 - 0.803
Probability of not arriving on time = 0.197
Therefore, the probability of randomly selecting an American Airlines flight that does not arrive on time is 0.197 or 19.7%.
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How many angles can you form when 2 parallel lines are cut by a transversal line?
When a transversal cuts two parallel lines, 8 angles are created.
When two lines do not cross one another, they are said to be parallel. In addition, parallel lines are two lines that cross each other at infinity.
A transversal line is one that crosses two other lines at two different locations. Line l meets a and b in the image below at two different locations, P and Q. Line l is the transversal line as a result.
Corresponding angles are those that are created when two parallel lines and a transversal intersect, also known as matching corners or corresponding corners.
∠1 and ∠6
∠4 and ∠8
∠2 and ∠5
∠3 and ∠7
When a transversal connects two coplanar lines, alternate interior angles are created.
∠4 and ∠5
∠3 and ∠6
However, each pair of alternate interior angles is equal if a transversal meets two parallel lines.
∠4 = ∠5
∠3 = ∠6
The pair of angles that are created on the outer side of two lines but on the other side of the transversal are known as alternate exterior angles.
Consecutive interior angles, related angles, and co-interior angles are other names for interior angles that are on the same side of the transversal.
∠3 and ∠5
∠4 and ∠6
When a transversal cuts two parallel lines, 8 angles are created.
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∠1 and ∠6
∠4 and ∠8
∠2 and ∠5
∠3 and ∠7
When a transversal connects two coplanar lines, alternate interior angles are created.
∠4 and ∠5
∠3 and ∠6
However, each pair of alternate interior angles is equal if a transversal meets two parallel lines.
∠4 = ∠5
∠3 = ∠6
Consecutive interior angles, related angles, and co-interior angles are other names for interior angles that are on the same side of the transversal.
∠3 and ∠5
∠4 and ∠6
Please help!
Choose the mathematical sentence that most accurately expresses the
information in the problem, and would be most helpful in solving it.
After taking 4 pieces of fruit out of a bag, 12 pieces of fruit remained. How
many pieces of fruit were in the bag to start?
A. 12 + f = 4
B. 12 ÷ f = 4
C. 4+ f = 12
D. 12 - 4 = f
E. F ÷ 4 = 4
F. F - 4 = 12
Answer:
Option F
F - 4 = 12Step-by-step explanation:
According to given information
1) You had F fruits and took 4 pieces out of a bag, it is:
F - 42) Then you have 12 pieces of fruit remained:
F - 4 = 12This equation matches the answer choice F.
Which of the following tables represents a linear relationship that is also proportional?
(A)
x −1 0 1
y 0 2 4
(B)
x −3 0 3
y −2 −1 0
(C)
x −2 0 2
y 1 0 −1
(D)
x −1 0 1
y −5 −2 1
Answer: 我不知道你好
Step-by-step explanation:
Find the value of x and the length of segment nm.
The value of x that makes the length of the segment joining the origin to (x, 8) equal to 10 units is x = 6.
To find the value of x, we can use the distance formula to calculate the length of the segment joining the origin (0, 0) to the point (x, 8). The distance formula is given by:
\(d = √((x2 - x1)^2 + (y2 - y1)^2)\)
In this case, the coordinates of the origin are (0, 0) and the coordinates of the point (x, 8) are (x, 8). Plugging these values into the distance formula, we have:
\(10 = √((x - 0)^2 + (8 - 0)^2)\)
Simplifying the equation, we have:
\(100 = x^2 + 64\)
Rearranging the equation, we get:
\(x^2\) = 100 - 64
\(x^2\) = 36
Taking the square root of both sides, we find
x = ±√36
x = ±6
Since the length of the segment cannot be negative, we take the positive value of x, which is x = 6. Therefore, the value of x that makes the length of the segment joining the origin to (x, 8) equal to 10 units is x = 6.
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Find the value of x so that the length of the segment joining the origin to (x, 8) is 10 units.
Find the slope and y intercept of
2y = 6x - 12 Show work
WILL GIVE BRAINLIEST!!!!
The slope and y-intercept of 2y = 6x - 12 are 3 and (-6) respectively.
What is the slope intercept form of a line?
The line with m as the slope, and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.
The slope, m, is a measure of how steep a line is. Sometimes, the gradient of a line is referred to as its slope. A line's y-intercept, c, denotes the y-coordinate of the location where the line's graph crosses the y-axis.
Given, the equation of the line is 2y = 6x - 12
Dividing the given equation by 2 we get, y = 3x - 6 ⇒ y = 3x + (-6)
Comparing the equation with the standard form of slope intercept form of a line as established in literature, we have:
Slope = m = 3 and y-intercept = c = -6
Thus, the slope and y-intercept of 2y = 6x - 12 are 3 and (-6) respectively.
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10. William knew that he shouldn't have eaten the last cookie out of the cookie jar. He knew
that his father loved to eat chocolate chip cookies after work, but William ate the last one
anyway. Now as he waited for his father to come home, guilt poked and chewed at William. As
delicious as the cookie was, William now wished that he had never opened that cookie jar.
What is being personified?
Which human trait or quality is given?
Answer: Personification is being used in this passage. The human trait or quality that is given is guilt.
Step-by-step explanation: Personification is a literary device that gives human qualities to non-human things. In this passage, guilt is given the human quality of poking and chewing at William. This helps to create a vivid image in the reader’s mind of how William is feeling.
Guilt is a complex emotion that can have both positive and negative effects on our lives. On the one hand, guilt can be a powerful motivator for change. When we feel guilty about something that we have done wrong, it can inspire us to make amends and try to do better in the future.
On the other hand, guilt can also be a burden that weighs us down and prevents us from moving forward. When we feel guilty about something that we cannot change or fix, it can lead to feelings of hopelessness and despair.
In William’s case, his guilt is caused by his decision to eat the last cookie out of the cookie jar. He knows that his father loves chocolate chip cookies and that he was looking forward to having one after work. By eating the last cookie, William has deprived his father of something that he enjoys.
The personification of guilt in this passage helps to create a vivid image in the reader’s mind of how William is feeling. The guilt is described as poking and chewing at William, which suggests that it is a persistent and uncomfortable feeling. This helps to convey the intensity of William’s emotions and makes it easier for the reader to empathize with him.
Hope this helps, and have a great day!
A jar contains quarters and nickels. There are 5 fewer quarters than nickels. The
total value of the coins is $4.45. Which system of equations can be used to
determine the number of quarters, q, and the number of nickels, n?
Given:
In a jar, there are 5 fewer quarters than nickels.
The total value of the coins is $4.45.
To find:
The system of equations can be used to determine the number of quarters, q, and the number of nickels, n.
Solution:
Let q be the number of quarters and n be the number of nickels.
It is given that there are 5 fewer quarters than nickels.
\(q=n-5\) ...(i)
We know that,
1 quarter = $0.25
1 nickel = $0.05
Using these conversions, we get
q quarters = $0.25q
n nickels = $0.05n
The total value of the coins is $4.45.
\(0.25q+0.05n=4.45\) ...(ii)
The equations (i) and (ii) are equations of required system of equations.
Therefore, the system of equations is:
\(q=n-5\)
\(0.25q+0.05n=4.45\)
if the crab nebula has been expanding at an average velocity of 1,500 km/s since the year 1054, what was its average radius in the year 2019?
The average radius of the Crab Nebula in the year 2019 was 4.56 x 107 R_(sun).
How to find the average radiusAs per the given question, the average velocity of the Crab Nebula is 1,500 km/s, and it has been expanding since the year 1054. We are supposed to find the average radius in the year 2019.
To find the average radius in the year 2019, we need to find out the time period between 1054 and 2019.
Time difference, t = 2019 - 1054= 965 years
Then we need to convert this time into seconds.
Since 1 year = 365 days and 1 day = 24 hours and 1 hour = 3600 seconds,965 years = 965 x 365 x 24 x 3600 seconds = 3.04 x 1010 seconds
Now we can use the formula:
v = d/t
Where v is velocity, d is distance, and t is time distance of the crab nebula is the radius of the crab nebula, and the time is 3.04 x 1010 seconds.
v = 1500 km/s
Let r be the average radius of the Crab Nebula in the year 2019.
r = v x t = 1500 km/s x 3.04 x 1010 seconds = 4.56 x 1013 km = 4.56 x 107 R_(sun)
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What is nine more than 10 groups of three
Answer:
39
Step-by-step explanation:
10 groups of 3 equals 30 so just add the 9 and that equals 39
A population has a current size of 150. If λ is 1. 2, what will the expected population size be after two generations?.
The expected population size be after two generations which has a current size of 150 and λ of 1.2 is 216.
Nt = N₀ × λ^t
Nt = Population size at generation t
N₀ = Current population size
t = Number of generations
λ = Finite rate of increase
λ = 1.2
N₀ = 150
Nt = 150 × 1.2²
Nt = 150 × 1.44
Nt = 216
Population size is defined as the number of individuals present in a designated region. Finite rate of increase is the ratio of population size from increase from one year to the next.
Therefore, the expected population size be after two generations is 216
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Who sang Will the Circle Be Unbroken with the Nitty Gritty Dirt Band?
The most famous version of the song was recorded by the Nitty Gritty Dirt Band. "Will the Circle Be Unbroken" is a traditional Christian hymn that has been recorded by many artists over the years.
However, the most famous version of the song was recorded by the Nitty Gritty Dirt Band in 1972 as a collaborative project that featured a wide variety of country, bluegrass, and folk musicians, including legends such as Mother Maybelle Carter, Earl Scruggs, and Doc Watson. The three-disc album was a critical and commercial success and helped to popularize traditional country and bluegrass music among a wider audience. The Nitty Gritty Dirt Band's rendition of "Will the Circle Be Unbroken" remains a beloved classic in the history of American music.
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Your old high school pal Mike Errington wants to upgrade an old 1976 vintage room air conditioner that is believed to operate at an EER of 7. He is considering a room air conditioner with an EER of 13. He wants to know what percentage of electricity consumption would be reduced. Can you help him find it (answer must be in a percentage)
Phil is riding his bike. He rides 15 miles in 3 hours, 30 miles in 6 hours, and
45 miles in 9 hours. What is Phil's constant rate (k) in SIMPLEST FORM. *
4 points
1/5 miles per hour
3/15 miles per hour
5/1 miles per hour
5 miles per hour
Answer:
5 miles per hour
Step-by-step explanation:
Three spheres each with charge Q uniformly distributed through its volume Rank the spheres according to the magnitude of the electric field they produced at point P (greatest firstl P (1) (2) (3) Select one: a. 3 > 2 > 1 b. all tie c. 1>2>3 d. 1 and 2 tie > 3 e. 2 > 3 >1
The correct ranking of the spheres according to the magnitude of the electric field they produce at point P (greatest first) is: 1 > 2 > 3. The answer is option C.
Since all three spheres have the same charge Q and radius, the magnitude of the electric field at point P due to each sphere is proportional to 1/d^2, where d is the distance between the center of the sphere and point P. Therefore, the sphere closest to point P will produce the greatest electric field at that point.
Assuming that the three spheres are arranged in a straight line with sphere 1 being the closest to point P and sphere 3 being the farthest, we can rank the spheres according to the magnitude of the electric field they produce at point P as follows:
Sphere 1 produces the greatest electric field at point P since it is the closest to it.
Sphere 2 produces the second greatest electric field at point P since it is farther away from point P than sphere 1 but closer than sphere 3.
Sphere 3 produces the smallest electric field at point P since it is the farthest from it.
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What is the slope-intercept equation for this line?
Solution:
Step-1: Find the slope of the line.
Formula: Rise/Run = y₂ - y₁/x₂ - x₁
y₂ - y₁/x₂ - x₁ = Slope=> -2 - (-1)/4 - 0 = Slope=> -2 + 1/4 - 0 = Slope=> -1/4 = SlopeStep-2: Find the y-intercept of the line.
The y-intercept of the line is the point that intersects the y-axis.
=> y-intercept = -1Step-3: Create the equation.
=> y = (m)x + (b) => \(y = -\frac{1}{4} x - 1\)Which formula is not equivalent to the other two? (-1k-3 k +3 k+ 4 ks4 Choose the correct answer below. k+3 ke-2 k-3 ks4 (-が k +4 k -3
The correct answer is k+3 ke-2.
To determine which formula is not equivalent to the other two, we can compare each formula step-by-step. Let's analyze each formula:
1. (-1k-3 k +3 k+ 4 ks4
2. k+3 ke-2
3. k-3 ks4
Starting with formula 1, we can see that it consists of three terms: -1k-3, k+3, and k+4ks4. Each term is separated by a space.
Moving on to formula 2, we have k+3ke-2. This formula also consists of three terms: k+3, k, and e-2. In this case, we have a variable (k) combined with two different exponents (3 and -2).
Finally, formula 3 is k-3ks4. It consists of two terms: k-3 and ks4. Again, each term is separated by a space.
Comparing the three formulas, we can see that formula 1 has three terms, while formulas 2 and 3 have two terms each. Additionally, formula 1 includes the term k+4ks4, which is not present in formulas 2 and 3.
Therefore, the formula that is not equivalent to the other two is k+3 ke-2.
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Find the slope of the line write your answer in simplest form -4,1 1,-2
At the end of 1st Quarter of 2009 the median price of a single-family home in Charleston/No. Charleston was $184,990. Single-family home prices in Charleston/No. Charleston decreased from the 1st Qtr of 2008 by 8.15%. NOTE: Depreciation means a negative value for r. (a). Estimate the median price of a single-family home in the 1st Qtr of 2008.
(b). If the median price of a single-family home falls at the same rate for the next 2 years, estimate the median price of a single-family home in the 1st Qtr of 2011.
The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.
(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.
(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.
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A carnival game requires you to make three baskets in a row to win a prize. Andre is a basketball player who normally makes 80% of his shots, but because of the trick rim he estimates that he can only make the shot 60% of the time. What is the probability that Andre wins a prize if he decides to play the game once?
The probability that Andre wins a prize in the carnival game is approximately 21.6%.
To calculate the probability, we need to consider the individual probabilities of making or missing a shot. Andre's regular shooting percentage is 80%, but due to the trick rim, he estimates his shooting percentage as 60%. The probability of making a shot is 0.6, and the probability of missing a shot is 0.4.
To win the prize, Andre needs to make three baskets in a row. Since each shot is independent, we can multiply the probabilities together. The probability of making three shots in a row is 0.6 * 0.6 * 0.6, which equals 0.216 or 21.6%.
Therefore, there is approximately a 21.6% chance that Andre wins a prize if he decides to play the game once.
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Someone please help am kind of stuck 10 points awarded and brainless please help and thank you
Answer:
157.92 + d = ?
Step-by-step explanation: Since you don't the amount of what his grandmother gave him you substitute the "number" for a letter. Example A or D.
I hope this helps.
plsss help!!!! any extra links will be reported!
Answer:
Outlier: Value that is extremely to the right or the left due to an external cause
For math: 1 is the outlier
Answer:
I am not 100% but I believe they are 1 and 6 if there are 2 answer options
Step-by-step explanation:
Nine subtracted from y is at least - 28.
Answer:
y ≥ 9 = -28
y ≥ -28-9
y ≥ -37
Calculate the following dosage. Do not write the units in the answer. Round the number to the nearest tenth.
Order: Famotidine 40 mg IV daily
Available: Famotidine 20 mg/2 mL
____mL
The required volume of Famotidine is 4 mL.
To calculate the required volume in milliliters (mL) for the provided dosage of Famotidine, we can use the following formula:
Volume (mL) = (Dosage ordered / Available dosage) * Volume per dose
We have:
Dosage ordered = 40 mg
Available dosage = 20 mg/2 mL (This means there are 20 mg of Famotidine in 2 mL)
Volume per dose = 2 mL
Let's substitute these values into the formula:
Volume (mL) = (40 mg / 20 mg) * 2 mL
Simplifying the expression:
Volume (mL) = 2 * 2 mL
Volume (mL) = 4 mL
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