An ordered pair that is not marked on the coordinate plane of this graph is (8, 0).
What is a graph?In Mathematics, a graph can be defined as a type of chart that is typically used for the graphical representation of ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which represent the x-coordinate (x-axis) and y-coordinate (y-axis) respectively.
What is an ordered pair?An ordered pair can be defined as a pair of two (2) data points that are commonly written in a fixed order within parentheses as (x, y), in order to represent the x-coordinate or x-axis (abscissa) and the y-coordinate or y-axis (ordinate) on the coordinate plane of any graph.
By critically observing the given graph, we can reasonably and logically deduce that data point (8, 0) is the missing ordered pair on the coordinate plane.
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Find the volume of the pyramid with a square base where the perimeter of the base is 8. 7cm and height of the pyramid is 6. 3cm round your answer to the nearest tenth of the cubic centimeter
Answer:
9.9\(cm^{3}\)
Step-by-step explanation:
Formula:
1/3(area of the base x height)
1/3 [2.175(2.175)(6.3)]
1/3(4.730625)(6.3)
1/3(29.8029375)
9.9343125
Is the perimeter of the base is 8.7, we need to divide that by 4 (2.175) to find out the side length of the square. The area of the square, we need to multiply 2.175 by 2.175.
9.9343125 rounded to the nearest tenth is 9.9
Helping in the name of Jesus.
Two balls A and B are pushed horizontally from a surface of height 11.27 meters. Ball A is pushed so that its initial velocity is 8.93 m/s and ball B is pushed so that its initial velocity is 24.27 m/s. What is the difference in the distance between the points of impact of the two balls on the ground in meters?
Round your answer to 3 decimal places.
The difference in the distance between the points of impact of the two balls on the ground can be calculated by considering their initial velocities and the height from which they are pushed.
Ball A has an initial velocity of 8.93 m/s, while ball B has an initial velocity of 24.27 m/s. The height from which they are released is 11.27 meters.
To find the difference in the distances traveled, we can use the equation for the horizontal range of a projectile, which is given by:
Range = (Initial Velocity)^2 * sin(2θ) / g
Since the angle of projection is not provided, we assume it to be 45 degrees for both balls, which gives us sin(2θ) = 1.
By substituting the given values and solving for the ranges, we can find the difference in the distances traveled by the two balls.
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I am playing in a racquetball tournament, and I am up against a player I have watched but never played before. I consider three possibilities for my prior model: we are equally talented, and each of us is equally likely to win each game; I am slightly better, and therefore I win each game independently with probability 0.6; or he is slightly better, and thus he wins each game independently with probability 0.6. Before we play, I think that each of these three possibilities is equally likely.
In our match we play until one player wins three games. I win the second game, but he wins the first, third, and fourth. After this match, in my posterior model, with what probability should I believe that my opponent is slightly better than I am?
Answer: If your opponent is winning 3:1 then they are probably better then you if they are winning more then you are. (or you are just having a bad day)
Posterior probability of scenario A: P(A|data) ≈ (0.0625 * 1/3) / (0.0625 * 1/3 + 0.216 * 1/3 + 0.05184 * 1/3) ≈ 0.134
Posterior probability of scenario B: P(B|data) ≈ (0.216 * 1/3) / (0.0625 * 1/3 + 0.216 * 1/3 + 0.05184 * 1/3) ≈ 0.466
Posterior probability of scenario C: P(C|data) ≈ (0.05184 * 1/3) / (0.0625 * 1/3 + 0.216 * 1/3 + 0.05184 * 1/3) ≈ 0.400
Let's denote the three possibilities as follows:
A: Equally talented, each player has a 0.5 probability of winning a game.
B: You are slightly better, with a 0.6 probability of winning a game.
C: Your opponent is slightly better, with a 0.6 probability of winning a game.
Given that you won the second game but lost the first, third, and fourth games, we want to find the probability of scenario C given this outcome. Let P(C) represent the prior probability of scenario C being true.
According to the given information, each of the three scenarios (A, B, and C) is equally likely, so P(A) = P(B) = P(C) = 1/3.
Now, let's update the probabilities based on the outcome of the match:
In scenario A:
The probability of winning the second game is 0.5, and the probability of losing the first, third, and fourth games is 0.5 each. Therefore, the overall probability of the observed outcome in scenario A is (0.5 * 0.5 * 0.5 * 0.5) = 0.0625.
In scenario B:
The probability of winning all three games (assuming you are slightly better) is (0.6 * 0.6 * 0.6) = 0.216.
In scenario C:
The probability of winning the second game (assuming your opponent is slightly better) is 0.4, and the probability of losing the first, third, and fourth games is 0.6 each. Therefore, the overall probability of the observed outcome in scenario C is (0.4 * 0.6 * 0.6 * 0.6) = 0.05184.
Now, we can update the probabilities based on Bayes' theorem:
Posterior probability of scenario A: P(A|data) = (P(data|A) * P(A)) / (P(data|A) * P(A) + P(data|B) * P(B) + P(data|C) * P(C))
Posterior probability of scenario B: P(B|data) = (P(data|B) * P(B)) / (P(data|A) * P(A) + P(data|B) * P(B) + P(data|C) * P(C))
Posterior probability of scenario C: P(C|data) = (P(data|C) * P(C)) / (P(data|A) * P(A) + P(data|B) * P(B) + P(data|C) * P(C))
P(data|A) = 0.0625
P(data|B) = 0.216
P(data|C) = 0.05184
Plugging in the values, we get:
Posterior probability of scenario A: P(A|data) ≈ (0.0625 * 1/3) / (0.0625 * 1/3 + 0.216 * 1/3 + 0.05184 * 1/3) ≈ 0.134
Posterior probability of scenario B: P(B|data) ≈ (0.216 * 1/3) / (0.0625 * 1/3 + 0.216 * 1/3 + 0.05184 * 1/3) ≈ 0.466
Posterior probability of scenario C: P(C|data) ≈ (0.05184 * 1/3) / (0.0625 * 1/3 + 0.216 * 1/3 + 0.05184 * 1/3) ≈ 0.400
So, after the match, the posterior probability that your opponent is slightly better than you is approximately 0.400 or 40%.
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Suppose g(x) = f(3 + 6(x − 5)) and ƒ' (3) = 4. Find g' (5). g' (5)= 3 (1 point) Suppose u(t) = w(t² + 5) and w'(6) = 8. Find u' (1). u'(1) = (1 point) Suppose h(x) = √√√f(x) and the equation of the tangent line to f(x) at x = 1 is y = 4 +5(x - 1). Find h'(1). h'(1) = 2
To find g'(5), we need to differentiate g(x) with respect to x and evaluate it at x = 5. Let's start by finding g'(x) using the chain rule:
g'(x) = f'(3 + 6(x - 5)) * (d/dx)(3 + 6(x - 5))
The derivative of the inner function is simply 6, and we know that f'(3) = 4. Substituting these values, we get:
g'(x) = 4 * 6
g'(x) = 24
Now we can evaluate g'(5):
g'(5) = 24
Therefore, g'(5) = 24.
To find u'(1), we need to differentiate u(t) with respect to t and evaluate it at t = 1.
Using the chain rule, we have:
u'(t) = w'(t² + 5) * (d/dt)(t² + 5)
The derivative of the inner function is 2t, and we know that w'(6) = 8. Substituting these values, we get:
u'(t) = 8 * (2t)
u'(t) = 16t
Now we can evaluate u'(1):
u'(1) = 16(1)
u'(1) = 16
Therefore, u'(1) = 16.
To find h'(1), we need to differentiate h(x) with respect to x and evaluate it at x = 1.
Using the chain rule, we have:
h'(x) = (1/2)(1/2)(1/2)(1/√f(x)) * f'(x)
Since the equation of the tangent line to f(x) at x = 1 is y = 4 + 5(x - 1), we can deduce that f'(1) = 5.
Substituting these values, we get:
h'(x) = (1/2)(1/2)(1/2)(1/√(4 + 5(x - 1))) * 5
Simplifying further:
h'(x) = (1/8)(1/√(4 + 5(x - 1)))
Now we can evaluate h'(1):
h'(1) = (1/8)(1/√(4 + 5(1 - 1)))
h'(1) = (1/8)(1/√(4))
h'(1) = (1/8)(1/2)
h'(1) = 1/16
Therefore, h'(1) = 1/16.
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The image below showcases a right triangle .
My questions:
What is a c, what does that represent
What is this problem asking for me
How do I solve this problem? Are there any formulas in place?
The perimeter of triangle is 66.24 units.
What is triangle?
In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane
Main body:
according to question :
c = 28
let the vertices be A,B,C
∠A= 30°
by using trigonometric ratios,
BC/ AB = sin30°
AB = C = 28
BC/28 = sin30°
BC = 28*sin30°
BC= 28*(1/2)
BC = 14
similarly
AB /CA = cos 30°
28/CA = √3/2
CA = 28*√3/2
CA = 14/√3
CA = 24.24
Hence , perimeter = AB +BC +CA = 28+14+24.24
=66.24 units
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Anita paid a total of $57.50 for a blazer. The price of the blazer was $52.85. What was the sales tax rate?
Answer:
8.79 % tax rate
Step-by-step explanation:
total paid = tax + price
57.50 = tax +52.85
tax = 4.65
tax rate =( tax ÷ price before the tax) × 100%
= (4.65÷ 52.85) × 100%
= 8.79%
To see if students with longer feet tend to be taller, a random sample of 25 students was selected from a large high school. For each student, x=foot length (cm) and y=height (cm) were recorded. We checked that the conditions for inference about the slope of the population regression line are met. Here is a portion of computer output for this data. Which of the following is the equation for the least squares regression line for predicting height from foot length?answer choices- predicted height = 10.2204 + 0.4117 (foot length)- predicted height = 0.4117 + 3.0867 (foot length)- predicted height = 91.9766 + 3.0867 (foot length)- predicted height = 91.9766 + 6.47044 (foot length)
The equation for the least squares regression line for predicting height from foot length is :
predicted height = 91.9766 + 6.47044 (foot length).
To find the equation for the least squares regression line for predicting height from foot length, we need to use the given computer output. Here is the computer output:
The regression equation is:
y^ = b0 + b1x
where
b0 = 91.9766 and b1 = 6.47044
Therefore, the equation for the least squares regression line for predicting height from foot length is:
predicted height = 91.9766 + 6.47044 (foot length)
Thus, the correct answer is:
predicted height = 91.9766 + 6.47044 (foot length)
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And also write steps. e. If BAC = 90°, ABC= 65° and AD perpendicular to BC. Find x and y
Answer:
x=25⁰
y=25⁰
Step-by-step explanation:
ABC+BAC+ACB = 180⁰
65⁰+90⁰+y = 180⁰
y = 180⁰-155⁰
y = 25⁰
In triangle ABD,
ABD+ADB+BAD = 180⁰
65⁰+90⁰+x = 180⁰
x = 180⁰-155⁰
x = 25⁰
Random error is: A. an outside influence that affects the true score in a consistent way. B. the extent to which a measure will produce the same results each time it is used. C. the extent to which a research method measures what it is intended to measure. D. unsystematic influence on the true score.
Find the unknown side of the right triangle below. Round to the nearest tenth .
Answer:
5.8
Step-by-step explanation:
describe the algebraic expression ^ 3 + 1
The algebraic expression x³ + 1 as given in the task content can be described as a binomial and a a cubic function as it has order 3.
What is the description of the expression x³ +1?The expression as given in the task content has 2 terms and hence, it change termed a binomial.
Also, since the greater power of the variable x is 3, it follows that the order of the equation is 3 and it is a cubic algebraic expression.
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What is the image of (7, -3) after a reflection over the x-axis?
Answer:(7,3)
Step-by-step explanation:
What is the length of NO?
N= (7,-4)
O=(-7,-4)
Answer:
I believe it would be 14.
Step-by-step explanation:
The distance between 7 and -7 should be 14.
The length of NO is 14 units
What is the length of NO?Distance between two points is the length of the line segment that connects the two points in a plane.
The formula to find the length is given by:
d =√((x2 – x1)² + (y2 – y1)²)
We:
N= (7,-4) : x1 = 7 , y1 = -4
O = (-7,-4): x2 = -7 , y2 = -4
Using the formula with the given values:
d=√((-7 – 7)² + (-4 – (-4))²)
d=√((-14 )² + (0)²)
d=√196
d= 14
Therefore, the length of NO is 14 units
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help pleaseeeeeee ty
Answer: I think the answer is never but I'm not sure
Step-by-step explanation:
is this right? please help me
Answer: You are correct, the solution is:
-2 + (-4) + 2 = -4
Step-by-step explanation:
We start at position -2, then we get 4 in the first dice, the first dice tell us how many units we move to the left, and at the left we have the negative side of the numberline then we need to subtract 4 to the starting position. This is:
-2 - 4
Or we can rewrite this as:
-2 + (-4)
Now we got a 2 in the second dice, this dice tell us how many units we move to the right, and we know that the right is the positive side of the numberline, then we need to add 2.
The equation becomes:
-2 + (-4) + 2 = -4
So you are correct.
what is the recursive formula for this sequence 14, 18, 22, 26, 30
Answer:
D
Step-by-step explanation:
I had this question on a quiz :)
in mathematics the nth harmonic number is defined to be
The nth harmonic number is defined as the sum of the reciprocals of the first n positive integers. We can calculate the nth harmonic number using the formula Hn=1+1/2+1/3+...+1/n.
Sure, I'll be glad to help you out!In mathematics, the nth harmonic number is defined as the sum of the reciprocals of the first n positive integers.
The nth harmonic number is defined to be:
$$H_n=1+\frac{1}{2}+\frac{1}{3}+\cdots+\frac{1}{n}$$
Now, to understand the concept in detail.
For this purpose, let's consider an example:
If we want to find the 5th harmonic number, then we use the formula as shown below:
$$H_5=1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}$$
Simplifying the above expression we get:
$$H_5=\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}$$$$\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}=\frac{60}{60}+\frac{30}{60}+\frac{20}{60}+\frac{15}{60}+\frac{12}{60}$$$$
=\frac{137}{60}$$
Therefore, the 5th harmonic number is 2.2833.
Now, The nth harmonic number is defined as the sum of the reciprocals of the first n positive integers. We can calculate the nth harmonic number using the formula Hn=1+1/2+1/3+...+1/n.
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pls pls help ill mark you brainliest if you get it right
Answer:
The correlation is positive, but it does not appear to be linear. What are the choices?
for what is values of x does 4(3x-2) = 12x - 5? select all that apply.
A.12
B.-8
C.3
D.-3
E.none of these
Answer:
‼️A) 12‼️
Step-by-step explanation:
Key skills needed: Interior Angle Measure Theorem, Equation Creation
Step 1) First, we need to classify this shape. It has 7 sides, which means that we can use the Interior angle Theorem to find out the sum of all the interior angle measures
The theorem is: S = (n - 2)180S=(n−2)180
S is the sum of all interior angle measures
n is the number of sides of the polygon
Step 2) With this, we can plug in 7 for "n" (Since the figure has 7 sides) and get:
---> S = (7-2)180S=(7−2)180
---> (7-2) is 5 since 7 - 2 = 5 so --> S = 5(180)S=5(180)
---> 5(180) is the same as 5 x 180 which is 900 so --> S = 900S=900
This means that the sum of all interior angles is 900 degrees.
Step 3) Now, we have to find out the sum of all the angles that they gave us so:
---> 10x + 10x + 9 + 133 + 9x + 14 + 12x - 9 + 10x + 5 + 136 = 90010x+10x+9+133+9x+14+12x−9+10x+5+136=900
The left side is the sum of all interior angles in the shape, and the right side is what the sum should be when expressed as a number.
Step 4) We have to combine all like terms on the left side:
---> 10x + 10x + 9x + 12x + 10x = 51x10x+10x+9x+12x+10x=51x
---> 9 + 133 + 14 -9+5+136 = 2889+133+14−9+5+136=288
Step 5) This means that ---> 51x + 288 = 90051x+288=900
Subtract 288 from both sides and get:
---> 51x = 61251x=612 (900-288 = 612)
Then divide by 51 from both sides and get:
---> x = 12x=12 (612 ÷ 51 = 12)
Therefore A) 12 is your answer.
I think it should be none of these.
The term on the left has to be even no matter what value of x and the right has to be odd no matter what value of x. Therefore, there shouldn't be an integer value of x that satisfies the equation, let alone the answer choices A-D.
What are 2 scale factors that would result in an image that is BIGGER than the original image?
Two scale factors that would result in an image that is BIGGER than the original image are 1.5 and 2
For an image to be bigger than the original image, the scale factor must be greater than 1.
The scale factor is given by the formula:
Scale factor = New Image / Original Image
The new Image = Scale Factor x The original image
For the new image to be greater than the original image, the scale factor has to be greater than 1.
Examples of two scale factors that would result to an image bigger than the original image are:
k = 1.5
k = 2
where k represents the scale factors
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You are organizing books on the shelf. Each book has a width of 3/4 inches. write and solve an equality for the numbers of books b can fit on the shelf
3/4 = 0.75 inches
24 inches / 0.75 inches
= 32 books
10. Halla el valor de x.
125°
(5x + 30)°
(English) Are you referring to 125 = (5x + 30) or 125(5x + 30)? Just so I can help you properly solve the problem. Thanks!
(Spanish) ¿Te refieres a 125 = (5x + 30) o 125(5x + 30)? Solo para que pueda ayudarte a resolver correctamente el problema. ¡Gracias!
Please help me. It's due at the end of the day.
The height of the lamppost is 110 in (optionC)
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
To find the height;
Tan 70 = h/ 40
h = tan70 × 40
h = 2.75 × 40
h = 110 in
therefore the height of the lamppost is 110 in
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x^2−19x+c Find the value of c that makes the trinomial a perfect square.
The value of c that makes the trinomial a perfect square is 180.25.
Trinomial perfect squares:A trinomial perfect square is a trinomial expression that can be written in the form: (a + b)² = a²+ 2ab + b² Where a and b are constants.
To determine if a trinomial is a perfect square, we can check if it can be written in this form.
Let's take a perfect square (x - k)² where k is some constant.
Expanding (x - k)², we get:
x² - 2kx + k² ---- (1)
Compare (1) with x² −19x + c
=> -2k = -19
=> k² = c
From the first equation, we can solve for k:
k = 19/2
Substituting this into the second equation, we can solve for c:
c = k² = (19/2)² = 90.25
Therefore,
The value of c that makes the trinomial a perfect square is 180.25.
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The value of a boat is $23,400. It loses 8% of its value every year. Write a function that represents the value y (in dollars) of the boat after t years.
Answer:
y = $21,528t
Step-by-step explanation:
Original value of the boat = $23,400
If it looses 8% every year
Amount lost = 8% of 23400
Amount lost after a year = 0.08 * 23400
Amount lost after a year =$1872
Money remaining after 1 year = 23400 - 1872
Money remaining after 1 year = $21,528
To get a function that represents the value y (in dollars) of the boat after t years, we will say;
t year = x
1 year = $21,528
Cross multiply
x *1 = $21,528t
x = $21,528t
Hence the function that represents the value y (in dollars) of the boat after t years is y = $21,528t
Happy D's Playland charges a $100 flat
fee for parties plus $1.50 per person.
Marta has $125 to spend. Which
inequality could help Marta find the
number of people she can invite?
Answer:
$16.66
Step-by-step explanation:
$125-$100 = $25
since its $1.50 per person, we do $25 DIVIDED by $1.50 = $16.66.
i hoped this helped :)
Find the weighted average of the numbers 1 and 6, with weight four-fifths on the first number and one-fifth on the second number.a. 2b. 6.2 c. 3 d. 2.8
The weighted average of the numbers 1 and 6 is 2
What is a weighted average of two numbers?A weighted average is the average of a set of numbers, each with different associated “weights” or values. To find a weighted average, multiply each number by its weight, then add the results.
Given that, the weighted average of 1 and 6 in this instance, means the sum of the two numbers multiplied by their weights which are four-fifths and one-fourth respectively.
Weighted average = (first number x weight of first number)+(second number x weight of second number)
first number = 1
weight of first number = four fifths = 4/5
second number = 6
weight of second number = one fifth = 1/5
Therefore,
The weighted average = (1 x 4/5) + (6 x 1/5)
= 2
Hence, the weighted average of the numbers 1 and 6 is 2
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A fruit seller bought 1600 oranges for Rs. 1200. Forty of
them were bad and he sold the rest so that his profit
17%. At what rateeach did he sell them?
Given that, A fruit seller bought 1600 oranges for Rs. 1200. He sold 40 bad oranges, so the total good oranges he sold are: 1600 - 40 = 1560 oranges. Let cost price (C.P) = Rs. x and selling price (S.P) = Rs. y. So, the answer is Rs. 0.90.
Now, we know that the seller sold his goods with a 17% profit. Hence, we have, S.P = C.P + 17% of C.P
Hence, we can write: y = x + 17% of x, We have the equation: y = (6/5) x ----- Equation 1
Now, to calculate the cost of each orange, we will use the formula, Cost Price (C.P) / Quantity (Q).
We have 1200 / 1600 = Rs. 0.75. Therefore, the cost of 1 orange is Rs. 0.75.
Now, we have all the values that we need to solve the problem. Let's substitute the values in the equation 1:y = (6/5) × 0.75 = 0.90Hence, he sold each orange at the rate of Rs. 0.90. Therefore, the selling price (S.P) of 1560 oranges sold is: y = S.P × Qy = 0.90 × 1560 = Rs. 1404. Answer: Rs. 0.90.
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solve for x 3x - 4 = 3x - 10
Answer:
no solution
Step-by-step explanation:
3x - 4 = 3x - 10
Subtract 3x from each side
3x-3x - 4 = 3x-3x - 10
-4 = -10
This is never true so there is no solution
Answer:
Step-by-step explanation:
I think you might have copied down the problem incorrectly.
If you try and solve this problem by moving the variables onto one side and the constants onto the other, you get:
3x-4=3x-10
+10 +10
3x+6=3x
-3x -3x
6=0 (which is FALSE)
Hope this helps!
P.S. Please give me brainliest. Thanks :)
Rotate the triangle through 180° about the origin.
Answer:
Attached Image Below
Step-by-step explanation:
Here you Go :D