Answer:
\(y = \frac{4}{5} x - \frac{22}{5} \)
Step-by-step explanation:
\(y = mx + b\)
\( - 2 = \frac{4}{5} (3) + b \\ - 2 = \frac{12}{5} + b \\ - 2 - \frac{12}{5} = b \\ - \frac{10}{5} - \frac{12}{5} = b \\ - \frac{22}{5} = b\)
Therefore, the equation of the line that goes through point (3, -2)and has slope ⅘ is
\(y = \frac{4}{5} x - \frac{22}{5} \)
Find the area of a triangular garden if the
sides are approximately 6 feet, 11 feet, and
12 feet (to the nearest square foot).
Answer:
As it is a triangle, so you start applying Pythagoras;
once with 11 as the hyp. and once where x is the hyp.
where x is the hyp.
feet
and if considering 11 as the hyp. feet
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Hope this helps.
Step-by-step explanation:
if the marks of students in a class are [110,70,30,80,90,64] then what is the median of these marks?
Answer:
The Median is 75
Step-by-step explanation:
Medianmedian is the middle number in a set of given numbers
arranging in order will be
30,64,70,80,90,110
the middle numbers are 70 and 80
Median=80+70/2
=150/2
Median=75
.....................help me
Answer:
15 is to 35
6 is to 14
Step-by-step explanation:
its done in the order of thier ratio
to study learned behavior in mice, researchers used a sample of mice in a maze experiment. each mouse had to find its way through a maze to reach food at the end. the mouse was timed on its first run through the maze and again on its tenth run through the maze. the difference in the times was recorded for each mouse.
The researchers used a sample of mice in a maze experiment to study learned behavior. They timed each mouse on its first run through the maze and again on its tenth run through the maze, recording the difference in times for each mouse.
The maze experiment is a common method used by researchers to study the learned behavior of animals, including mice. In this experiment, a maze is set up with food placed at the end to motivate the mouse to find its way through the maze. The researchers time the mouse on its first run through the maze to establish a baseline for the mouse's performance. They then repeat the experiment by timing the mouse on its tenth run through the maze to see if the mouse has learned and improved its performance. By subtracting the time of the first run from the time of the tenth run, the researchers can measure the difference in time and assess how much the mouse has learned.
The difference in time between the first and tenth run can be used as a measure of learning, and statistical analysis can be applied to identify significant changes in the mouse's performance. This type of experiment can be useful for studying the effects of different variables on learning, such as different training methods or drug treatments. The maze experiment can also be adapted to study other aspects of animal behavior, such as memory and decision-making.
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If f(x) = 9, find x.
Answer:
Graph under 10, only a bit, (0,9) because y = 9
Step-by-step explanation:
find the volume of the given solid. bounded by the coordinate planes and the plane 7x + 9y + z = 63
The volume of the given solid, with the boundaries, is given as follows:
661.5 cubic units.
How to obtain the volume of the solid?The volume of the solid is obtained using a double integral.
The equation for the solid is given as follows:
7x + 9y + z = 63.
z = 63 - 7x - 9y.
The coordinate planes bound the plane, hence:
y varies between 0 and 7 - 7x/9.x varies between 0 and 9.Hence the double integral that is used to obtain the volume of the solid is given as follows:
\(V = \int_{0}^{9}\int_{0}^{7 - \frac{7x}{9}} 63 - 7x - 9y dydx\)
The inner integral is given as follows:
\(I = \int_{0}^{7 - \frac{7x}{9}} 63 - 7x - 9y dy\)
Which, applying the Fundamental Theorem of Calculus, has the result given as follows:
\(I = -98x + \frac{49x^2}{9} - \frac{(7x + 63)^2}{18} + 441\)
Then the volume of the solid is given by the outer integral as follows:
\(V = \int_{0}^{9} \left(-98x + \frac{49x^2}{9} - \frac{(7x + 63)^2}{18} + 441\right) dx\)
Which has a numeric value of:
661.5 cubic units.
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what is the expression in factored form 4x^2+11x+6
Answer:
4x² + 11x + 6 = (x + 2)(4x + 3)
i need the mean, median, mode, and range
Answer:
the median is 5 the mode is 5 and 2 the mean is 6.25 and the range is 15
Step-by-step explanation:
the mode is 5 and 2 because they both occur the most often
The median is 5 because even though the amount of numbers is even and there is no exact middle the two middle numbers are both 5 and 5+5 equals 10 divided by 2 equals 5
the mean is 6.25 because all numbers added together 75 divided by the amount of numbers 12 equals 6.25
the range is 15 because the range is the diff between the highest and lowest value
If APQR - ASQT, find the value of x.
Answer:
x-9
Step-by-step explanation:
ps4 6666 and I will be shown on pictures and is there any chance we can arrange for the first class tomorrow morning or 50p
If f(x) = x to the 2nd power+ 2x - 10, what is f(-2)?
Answer:
Step-by-step explanation:
f(-2)= x^2+2x-10= (-2)^2+2(-2)-10= 4-4-10= 0-10 = -10
What value of n makes the equation n/3 - 2 = 4 true?
Show your work.
Answer:
Step-by-step explanation:
n/3 - 2 = 4 Add 2 to both sides
n/3 - 2 + 2 = 4+2 Combine
n/3 = 6 Multiply both sides by 3
3*n/3 = 6 * 3
n = 18
In the following set of numbers (18, 26, 29, 18, 44) what is the median?
A) 26
B) 27
C) 18
D) 24
The median of the following set of numbers (18, 26, 29, 18, 44) is 26. The correct option to this question is option A
To find median of the following sequence (18, 26, 29, 18, 44) we will arrange them in ascending order
18 , 18 , 26 , 29 , 44 . . . . . . . . . .(1)
Since the number of terms is odd we will apply the formula
Median = \(\frac{(n+1)}{2} th\) term . . . . . . .(2)
Here n = number of terms
As per question the n = 5
Therefore putting in equation 2 we get
Median = \(\frac{(5+1)}{2} th\) term
Median = \(\frac{6}{2} th \\\) term
Median = 3 term
Hence the third term from the sequence ( shown in 1 ) we get the median that is 26
Hence the median of the following set of numbers (18, 26, 29, 18, 44) is 26 .
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The median is:
26
Explanation:
First, we will arrange the numbers from least to greatest.
18, 26, 29, 18, 44
Rearrange
18, 18, 26, 29, 44.
Now, the median is the number in the middle, which is 26.
∴ Median = 26find the value of x in the diagram if K and H are compliments.
Answer:
56°
Step-by-step explanation:
x + 34° = 90° (Complimentary angles)
Answer:
56°
Step-by-step explanation:
Since, angle K and angle H are compliments.
Therefore,
34°+ x = 90°
x = 90° - 34°
x = 56°
John can skate 1,000 meters in 200 seconds. How many meters per second can he skate?
Answer:
John can share 5 meters per second
Question:
Chana and Josiah started skating at the same time in the same direction, but Josiah had a head start 10 meters past the starting line. Chana skated 3 meters per second and Josiah skated 2 meters per second.
Answer:
What does point G represent in this context?
Chanas distance from the starting line at a time when she is farther than Josiah.
i have no idea about how to do it.
The blanks are filled as follows
Step one
Equation 2x + y = 18 Isolate y,
y = 18 - 2x
How to complete the stepsStep Two:
Equation 8x - y = 22, Plug in for y
8x - (18 - 2x) = 22
Step Three: Solve for x by isolating it
8x - (18 - 2x) = 22
8x - 18 + 2x = 22
8x + 2x = 22 + 18
10x = 40
x = 4
Step Four: Plug what x equals into your answer for step one and solve
y = 18 - 2x
y = 18 - 2(4)
y = 18 - 8
y = 10
So the solution to the system of equations is x = 40 and y = 10
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A bouncy ball is dropped such that the height of
its first bounce is 4.75 feet and each successive
bounce is 75% of the previous bounce's height.
What would be the height of the 9th bounce of
the ball? Round to the nearest tenth (if
necessary).
The rate at which the ball drops from the height is an illustration of an geometric sequence
The height of the 9th bounce of the ball is 0.4 feet
How to determine the height of the ballThe given parameters are:
Initial height, a = 4.75
Rate, r = 75%
Bounce, n = 9
The function that represents the height of the ball is:
\(H = ar^{n\)
So, we have:
\(H = 4.75 * (75\%)^{9\)
Evaluate
\(H = 0.4\) --- approximated
Hence, the height of the 9th bounce of the ball is 0.4 feet
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find the z-value that corresponds to each percentile for a standard normal distribution. a) 30th percentile b) 50th percentile c) th percentile
To find the z-value that corresponds to a certain percentile for a standard normal distribution, we can use a table of standard normal probabilities or a calculator.
Percentile:In statistics, a k-th percentile, also known as percentile score or centile, is a score below which a given percentage k of scores in its frequency distribution falls ("exclusive" definition) or a score at or below which a given percentage falls ("inclusive" definition). Percentiles are expressed in the same unit of measurement as the input scores, not in percent; for example, if the scores refer to human weight, the corresponding percentiles will be expressed in kilograms or pounds.
a) To find the z-value that corresponds to the 30th percentile, we first need to convert the percentile to a percentage. The 30th percentile corresponds to the bottom 30% of the distribution.
Using a table or calculator, we can find that the z-value that corresponds to the 30th percentile is approximately -0.52. This means that 30% of the area under the standard normal curve lies to the left of -0.52.
b) To find the z-value that corresponds to the 50th percentile, we can follow the same process. The 50th percentile corresponds to the middle 50% of the distribution, or the point where the distribution is split in half.
Using a table or calculator, we can find that the z-value that corresponds to the 50th percentile is 0. This means that half of the area under the standard normal curve lies to the left of 0, and the other half lies to the right.
c) Without a specific percentile value given, it's difficult to find the corresponding z-value. However, we can use the same process and plug in the desired percentile to find the corresponding z-value.
For example, if we wanted to find the z-value that corresponds to the 75th percentile, we would first convert 75th percentile to a percentage (75%) and then use a table or calculator to find the z-value that corresponds to that percentage.
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What is the 18th term of the arithmetic sequence -13, -9, -5, -1, 3,...? A. A(18) = 55 B. A(18) = 59 C. A(18) = -81 D. A(18) = -153
The 18th term of the arithmetic sequence -13, -9, -5, -1, 3,... is 55. Thus, the right answer is option A. which is A(18) = 55
Arithmetic Progression is a sequence of numbers in which the difference between two numbers in the series is a fixed definite value.
The specific number in the arithmetic progression is calculated by
\(a_n=a_1+(n-1)d\)
where \(a_n\) is the term in arithmetic progression at the nth term
\(a_1\) is the initial term in the arithmetic progression
d is the difference between two consecutive terms
In the given question, \(a_1\) = -13
d = -9 - (-13) = 4
Therefore, to calculate the 18th term,
\(a_{13}=a_1+(18-1)d\)
= -13 + (17) 4
= -13 + 68
= 55
Hence, the 18th term of the above AP is 55
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i need help with question 16 and 17
Answer:
16 is definitely a
17 is c
Step-by-step explanation:
an app that I use that helps a lot is desmos u should try it out
hope this helps :)
can i get brainliest?
if a taxpayer has an adjusted gross income (AGI) of $27.000, donates $3500
to charity, and itemizes deductions on her federal income tax returrn, how
much of the charitable donation is deductible?
Answer:3,500
Step-by-step explanation:
the height of adult women in france is a normally distributed random variable with a mean of 64 inches and a standard deviation of 2.4 inches. find the probability that a randomly chosen women is less than 62 inches tall.
The probability that a randomly selected woman is less than 62 inches tall is approximately 20.23%.
To solve this problem, we need to standardize the height value of 62 inches using the mean and standard deviation given.
Allow X be the height of adult women in France. Then we've got:
X ~ N(64, 2.4)
To discover the probability that a randomly chosen woman is less than 62 inches tall, we need to discover P(X < 62).
Using the standard regular distribution components, we can standardize X as follows:
Z = (X - μ) / σ
Where μ is the imply and σ is the standard deviation of the regular distribution, and Z is a general regular random variable.
Substituting the given values, we get:
Z = (62 - 64) / 2.4 = -0.8333 (approx)
Now, we want to discover the chance P(Z < -0.8333) using the standard normal distribution table or a calculator.
Using a standard normal distribution table, we discover that
P(Z < -0.8333) is approximately 0.2023.
Therefore, the probability that a randomly selected woman is less than 62 inches tall is approximately 0.2023 or 20.23%.
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in Windsor area of New South Wales, flood flow needs to be drained from a small locality at a rate of 120 m³/s in uniform flow using an open channel (n=0.018) Given the bottom slope as 0.0013 calculate the dimensions of the best cross section if the shape of the channel is (a) circular of diameter D and (b) trapezoidal of bottom width b Write your solution on A4 page, scan the solution and upload the scanned pdf file in vUWS. Do not email the solution to the lecturer tutor
The bottom width and depth of the trapezoidal channel are 2.25 m and 1.67 m, respectively.
In Windsor area of New South Wales, flood flow needs to be drained from a small locality at a rate of 120 m³/s in uniform flow using an open channel (n=0.018) Given the bottom slope as 0.0013 calculate the dimensions of the best cross section if the shape of the channel is (a) circular of diameter D and (b) trapezoidal of bottom width b.
(a) Circular channel:
For a circular channel, the best hydraulic section can be achieved by using the formula,
Q = (1 / n) x (A / P)2 / 3 x S0.5
where Q is the discharge; A is the area of the flow section; P is the wetted perimeter, S is the slope of the channel; and n is the roughness coefficient of the channel.
Assuming that the channel is flowing at full capacity, the depth of flow can be calculated using the following formula,
Q = (1 / n) x (π / 4) x D2 / 2 x D1 / 2 x S0.5
where D is the diameter of the channel; S is the slope of the channel; and n is the roughness coefficient of the channel.
Solving for D,
D = (8Q / πnD12S0.5)
For the given values of Q, n, and S,
D = (8 × 120 / π × 0.018 × 0.00132 × 120.5)
D = 1.98 m
Therefore, the diameter of the circular channel is 1.98 m.
(b) Trapezoidal channel:
For a trapezoidal channel, the best hydraulic section can be achieved by using the formula,
Q = (1 / n) x (A / P)2 / 3 x S0.5
where Q is the discharge; A is the area of the flow section; P is the wetted perimeter, S is the slope of the channel; and n is the roughness coefficient of the channel.
Assuming that the channel is flowing at full capacity, the depth of flow can be calculated using the following formula,
Q = (1 / n) x ((b + y) / 2) y / ((b / 2)2 + y2)0.5 x ((b / 2)2 + y2)0.5 x S0.5
where b is the bottom width of the channel; y is the depth of flow in the channel; S is the slope of the channel; and n is the roughness coefficient of the channel.
Rewriting the equation,
120 = (1 / 0.018) x ((b + y) / 2) y / ((b / 2)2 + y2)0.5 x ((b / 2)2 + y2)0.5 x (0.0013)0.5
Simplifying the equation,
658.5366 = (b + y) y / ((b / 2)2 + y2)0.5 x ((b / 2)2 + y2)0.5
Squaring both sides,
433407.09 = (b + y)2 y2 / ((b / 2)2 + y2) x ((b / 2)2 + y2)
Multiplying both sides by ((b / 2)2 + y2),
433407.09 ((b / 2)2 + y2) = (b + y)2 y2 x ((b / 2)2 + y2)
Simplifying the equation,
216703.545 = b2 y3 / 4 + b y4 / 2 + y5 / 4
Solving the above equation by using trial and error, the bottom width and depth of the trapezoidal channel are 2.25 m and 1.67 m, respectively.
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Which value has only 4 significant digits? a. 6.930 b. 8450 c. 0.392 d. 0.0450
Answer:
A 6.930
Step-by-step explanation:
PLEASE HELP ME!!!ITS DUE TODAY!!
PONLE QUE ES A LA MIERDA IEUFJEUNFUF
Answer:
17.28 is around
23.76 is the area
Step-by-step explanation:
A person walks in the following pattern: 2.8 km north, then 2.9 km west, and finally 5.8 km south. (a) How far and (b) at what angle (measured counterclockwise from east) would a bird fly in a straight line from the same starting point to the same final point?
a) The bird would fly approximately 4.17 km in a straight line from the starting point to the final point. b) The bird would fly at an angle of approximately 47.46 degrees counterclockwise from the east.
To find the distance and angle that a bird would fly in a straight line from the starting point to the final point, we can use the concept of vector addition.
(a) Distance:
The person's total displacement can be represented as a vector sum of their individual movements: 2.8 km north + 2.9 km west - 5.8 km south.
To simplify this, we can break it down into horizontal (x-axis) and vertical (y-axis) components:
Horizontal displacement = -2.9 km (west)
Vertical displacement = 2.8 km (north) - 5.8 km (south) = -3 km (south)
Now, we can calculate the straight-line distance using the Pythagorean theorem:
Distance = √(Horizontal displacement² + Vertical displacement²)
= √((-2.9 km)² + (-3 km)²)
= √(8.41 km² + 9 km²)
= √(17.41 km²)
≈ 4.17 km
Therefore, the bird would fly approximately 4.17 km in a straight line from the starting point to the final point.
(b) Angle:
To determine the angle counterclockwise from the east, we can use trigonometry. The angle can be found using the inverse tangent function:
Angle = arctan(Vertical displacement / Horizontal displacement)
= arctan((-3 km) / (-2.9 km))
= arctan(1.034)
≈ 47.46 degrees
Therefore, the bird would fly at an angle of approximately 47.46 degrees counterclockwise from the east.
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A charter flight club charges its members $320 per year. But for each new member in excess of 100, the charge for every member is reduced by $2. Assuming the club will have at least 100 members, what number of members leads to a maximum revenue? (Give your answer as a whole or exact number.) Note: Let x equal the number of members over 100 .
A charter flight club charges its members $320 per year. Therefore, having 20 members over 100 will lead to maximum revenue for the charter flight club.
We know that the club charges $320 per year for each member. However, for each new member in excess of 100, the charge for every member is reduced by $2. So, if we have x members over 100, the charge for each member will be $320 - $2x.
To calculate the total revenue, we need to multiply the number of members by the charge per member. Let's denote the total revenue as R and the number of members as N:
R = (100 + x) * (320 - 2x)
To find the value of x that maximizes the revenue, we can differentiate the revenue function with respect to x and set it equal to zero:
dR/dx = 320 - 4x - 2(100 + x) = 0
Simplifying the equation:
320 - 4x - 200 - 2x = 0
-6x + 120 = 0
6x = 120
x = 20
Therefore, having 20 members over 100 will lead to maximum revenue for the charter flight club.
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The Briarwood Middle School art club has 55 members. Of those members, 22 of them are in 7th grade. What percent of the members of the art club are in 7th Grade?
Are you solving for the part, percent, or whole?
es asi p=%.w
es asi el ejersisio
Answer:
40%
Step-by-step explanation:
percent = part/whole × 100%
percent = 22/55 × 100%
percent = 0.4 × 100%
percent = 40%
find the value of -
\(( {x}^{2} - x)\)
where, x = 5
Step-by-step explanation:
(x^2 -x)=(5^2-5)
=25-5 =20
Answer:
(x²-x)=(5²-5)
=(25-5)
=(20)ans..............
Explain how the exterior angle relates to the interior angles.
A triangle has angles A, B, C. The exterior angle to angle C is angle D.
A,B, and C are interior while D is extorior
Step-by-step explanation: However ABCD are the same because they all mean a number and have their own angles Dis the most common number so its related to ABC. :)Hope this helps
Answer:
A,B, and C are interior while D is extorior
Step-by-step explanation: However ABCD are the same because they all mean a number and have their own angles Dis the most common number so its related to ABC.
Step-by-step explanation:
Find the midpoint of AB when A=(1,-2) B=(1,-1)
Answer:
\((1,-1.5)\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Midpoint Formula: \((\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)Step-by-step explanation:
Step 1: Define
Point A (1, -2)
Point B (1, -1)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute [MF]: \((\frac{1+1}{2},\frac{-2-1}{2})\)Add/Subtract: \((\frac{2}{2},\frac{-3}{2})\)Divide: \((1,-1.5)\)