Answer:
Subtract the y's: 7 - 2 = 5
Subtract the x's in the same order: 6 - 4 = 2
slope = (difference in y)/(difference in x) = 5/2
Answer: 5/2
A population grows according to an exponential growth model, with an initial population of 3,120 and a population of 3,790 after 6 years. Complete the formula, where P is the population and n is the number of years: P=3,120*(_)
Answer : The value of the missing term is (1+0.2147)^6≈ 150.
Explanation :
A population grows according to an exponential growth model, with an initial population of 3,120 and a population of 3,790 after 6 years.
The formula where P is the population and n is the number of years is given by the expression:
P = 3120*(1+r)^n where r is the growth rate and n is the number of years. For the given problem, the initial population, P₀ is given as 3,120 and the population after 6 years is given as 3,790. So, the population increased by 3,790 - 3,120 = 670 people in 6 years. Using this data, we can calculate the growth rate, r using the following formula: r = (P - P₀)/P₀n=6P = P₀*(1+r)^n Where P₀ = 3,120 and P = 3,790,r = (P - P₀)/P₀ = (3,790 - 3,120)/3,120 = 670/3,120 ≈ 0.2147 P = 3,120*(1+0.2147)^6 ≈ 150 * 3,120
Therefore, the value of the missing term is (1+0.2147)^6 ≈ 150.
Answer: (1+0.2147)^6.
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Help pleaseeeeeeeeeeeeeeeeeee
Let f and g be functions from the positive integers to the positive integers defined by the equation
f(n)= 2n+1 g(n)=3n-1
f∘f
g∘g
f∘g
g∘f
the compositions are:
f∘f: 4n + 3
g∘g: 9n - 4
f∘g: 6n - 1
g∘f: 6n + 2
To find the compositions f∘f, g∘g, f∘g, and g∘f, we substitute the function expressions into the compositions:
1. f∘f:
(f∘f)(n) = f(f(n))
= f(2n+1)
= 2(2n+1) + 1
= 4n + 2 + 1
= 4n + 3
So, (f∘f)(n) = 4n + 3.
2. g∘g:
(g∘g)(n) = g(g(n))
= g(3n-1)
= 3(3n-1) - 1
= 9n - 3 - 1
= 9n - 4
So, (g∘g)(n) = 9n - 4.
3. f∘g:
(f∘g)(n) = f(g(n))
= f(3n-1)
= 2(3n-1) + 1
= 6n - 2 + 1
= 6n - 1
So, (f∘g)(n) = 6n - 1.
4. g∘f:
(g∘f)(n) = g(f(n))
= g(2n+1)
= 3(2n+1) - 1
= 6n + 3 - 1
= 6n + 2
So, (g∘f)(n) = 6n + 2.
Therefore, the compositions are:
- f∘f: 4n + 3
- g∘g: 9n - 4
- f∘g: 6n - 1
- g∘f: 6n + 2
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Felicia is solving the expression - 5(3x + 2) + 10x. Gregory is solving the expression -12 - 4x +?+?x.
Both students simplified their answers to get the same expression. What are the values
missing from Gregory's expression?
Answer:
-5x-10 is the expression. the missing values would be 2 and -x i believe
Consider the problem min 22 – (21 – 2)3 + 3 subject to X2 > 1 Which one is the extremizer point? O x=[0,2] O x=(2,2] O x=(2,1] Ox=[1,2] O x=(1,1] O x=[0,1] x=[2,2]
The extremizer point is x=(1,1].
Consider the problem min 22 – (21 – 2)3 + 3 subject to X2 > 1. The given problem can be written in the following form: minimize f(x)= 22 - (21 - 2)3 + 3 subject to g(x) = x2 > 1.The extremizer point is the point that satisfies the conditions that have been given in the question. Therefore, the extremizer point in this problem is x=(1,1].In order to find the extremizer point of a problem, we need to calculate the derivative of the objective function and then equate it to zero to find the point where it attains its minimum value. Here, however, we have only one point to choose from that satisfies the given constraint, so it is the extremizer point.
A point in a convex set that does not lie on any open line segment connecting two points in the set is referred to as an extreme point in mathematics.
The terms "extreme point" and "extremal point" can also mean:
a stage at which a function reaches its maximumA graph theory tree's leaf vertexExtreme points on Earth, or parts of a geographical mass that stretch farther in one direction than in any other.Know more about extremizer point here:
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Avery signed up for a streaming music service where there's a fixed cost for monthly
membership and a cost per song downloaded. Her total cost is given by the linear
graph below. What is the meaning of the point (1,9.24)?
Answer:the answer might be C or B
Step-by-step explanation:
The given ordered pair (1,9.24) represents the ordered pair represents the monthly cost of one song. Option C is correct.
Given that,
Avery signed up for a streaming music service where there's a fixed cost for a monthly membership and a cost per song downloaded. Her total cost is given by the linear graph.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
According to the question,
9.24 is the total cost marked on the y axis so corresponding to this the value of x is 1 which represents the number of song,
So the given ordered pair describe that the cost of one song per month is $9.24.
Thus, the given ordered pair (1,9.24) represents the ordered pair represents the monthly cost of one song. Option C is correct.
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the sum of 2 numbers is -48 and their difference is 17.
Answer: -15.5, -32.5
Step-by-step explanation: Call the two numbers x and y, x+y=-48 and x-y=17, subtract both of them and you get 2y=31 and then divide both sides by 2 and get -15.5 for y, plug this back in the equations and get -32.5 for x, hope this helped!
nicole wants to conduct a survey of the opinions of students at her middle school. which survey sample would give her the most accurate results?
Answer:
Step-by-step explanation:
Solution
The sample must be selected at random.
5x + 1 = 6x - 8 x= como puedo resolverla
Answer:
X = 9
Step-by-step explanation:
Project (Matlab ): Spline interpolation In this project, you must write a code that performs a cubic spline interpolation on any given set of data points (2o, yo), (21, 31), (Xn, Yn).
The following Python code demonstrates how to perform cubic spline interpolation using the scipy library
How to depict the codeimport numpy as np
from scipy.interpolate import CubicSpline
# Define the data points
x = np.array([20, 21, ...]) # X coordinates of the data points
y = np.array([y0, 31, ...]) # Y coordinates of the data points
# Create the cubic spline interpolation
cs = CubicSpline(x, y)
# Generate interpolated values
x_interpolated = np.linspace(x[0], x[-1], num=100) # Adjust 'num' for desired number of interpolated points
y_interpolated = cs(x_interpolated)
# Print interpolated values
for i in range(len(x_interpolated)):
print(f"({x_interpolated[i]:.2f}, {y_interpolated[i]:.2f})")
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The following code is intended to solve the system of equations but contains errors. What are the errors and so determine the intended output? 3x, +2x2 - *= 10 >> A - 1 3 2 -1; 1 3.2; 1 -1]; --*+ 3x2 + 2xy = 5 >> b = [ 10; 5; -1]: *1-*3 = -1 >> X = A//b Errors Intended MATLAB Output Question 7. The word 'SMILE' can be coded as a column vector by using the relevant numbers for its place in the alphabet (E = 5). The word can then be encrypted using matrix multiplication on the left by A. 3 3 0 30 -30 --2 0 0 0 1 0 0 -3 0 0 0 33 lo-1 2 0 1 (1) What is the column vector of the encrypted word 'SMILE'? 120 -21 (1) What word was encrypted as -63 ? (Don't do it by hand, life's too short.)
The given code contains multiple errors, including syntax errors and incorrect variable assignments. Consequently, it would not produce the intended output.
The intended code is meant to solve a system of equations. However, it contains errors that hinder its functionality. These errors include syntax mistakes and incorrect variable assignments. Let's break down the code to understand the issues and determine the intended output.
In the first part of the code, the matrix A is incorrectly defined. The commas are placed before the plus sign, resulting in a syntax error. Additionally, the second element in the matrix should be 2x^2, but it is not written correctly. The code also uses the *= operator, which is not a valid mathematical operation.
Moving on to the second equation, the matrix b is defined correctly. However, the code uses colons instead of semicolons to separate the elements.
Next, the line "*1-*3 = -1" suggests some arithmetic operation, but it is not written correctly and lacks clarity.
Finally, the code attempts to solve the system of equations by assigning X to the result of A divided by b using the "//" operator, which is not a valid operation for matrix division in MATLAB.
Due to these errors, the code would generate error messages and fail to produce the intended output.
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30^2 + 15^2 = c^2
Use pythagorean theorem
Answer:
c = 33.5
Step-by-step explanation:
[tex]30^{2} + 15^{2} = c^{2}[/tex]
[tex]900 + 225 = c^{2}[/tex]
[tex]1125 = c^{2}[/tex]
(find square root of both sides to get c alone)
[tex]c = 33.541[/tex]
What is the rate of change of the function Y = -1/2x + 5
Answer:
Rate of change is -1/2.
Hope this helps! :)
Answer: -1/2
Step-by-step explanation: For a function y=mx+b, m=slope, and b=y-intercept:
y=-1/2x plus 5. Rate of change = -1/2
Find the radius of convergence and interval of convergence of the series. 00 2. ενη -(x+6) " 8n n=1
The series converges for -8 < x < -4, and the radius of convergence is 2.
To find the radius of convergence and interval of convergence of the series, we'll use the ratio test.
The series given is:
Σ (n=1 to ∞) [tex]2^{(-n)}(x + 6)^n[/tex]
We'll apply the ratio test to determine the convergence behavior:
lim(n→∞) |(a_{(n+1)})/(a_n)|
= lim(n→∞) |[tex][2^{(-(n+1)})(x + 6)^{(n+1)}] / [2^{(-n)}(x + 6)^n][/tex]|
= lim(n→∞) |[tex][2^{(-(n+1)})(x + 6)] / [2^{(-n)}][/tex]|
= lim(n→∞) |(x + 6)/2|
To ensure convergence, we need the above limit to be less than 1:
|(x + 6)/2| < 1
Now, let's consider the cases when the above inequality holds true:
Case 1: (x + 6)/2 < 1
Simplifying, we get:
x + 6 < 2
x < -4
Case 2: -(x + 6)/2 < 1
Simplifying, we get:
x + 6 > -2
x > -8
Combining the results from both cases, we have:
-8 < x < -4
Therefore, the interval of convergence is -8 < x < -4.
To find the radius of convergence, we consider the endpoints of the interval of convergence (-8 and -4). The radius of convergence (R) is half the length of the interval of convergence.
R = (|-8 - (-4)|)/2
= 4/2
= 2
Hence, the radius of convergence is 2.
In summary, the series converges for -8 < x < -4, and the radius of convergence is 2.
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help me out? :)
don't guess, if u dont know just dont answer. NO LINKS.
Answer:
A cube
Step-by-step explanation:
If you fold it, you'll see
Draw the directed graphs & zero-one matrices for each of the following relations:
a. Define a relation R on A = {0, 1, 2, 3} by R = {(0, 0), (1, 2), (2, 2)}.
b. Define a relation S on B = {a, b, c, d} by S = {(a, b), (a, c), (b, c), (d, d)}.
c. Define a relation R on A = {0, 1, 2, 3}, B= {4,5,6,8} by R = {(0, 4), (0, 6), (1, 8), (2,4), (2,5), (2,8), (3,4), (3,6)}.
In part (a), the relation R on A = {0, 1, 2, 3} is defined as R = {(0, 0), (1, 2), (2, 2)}. In part (b), the relation S on B = {a, b, c, d} is defined as S = {(a, b), (a, c), (b, c), (d, d)}. Lastly, in part (c), the relation R on A = {0, 1, 2, 3} and B = {4, 5, 6, 8} is defined as R = {(0, 4), (0, 6), (1, 8), (2, 4), (2, 5), (2, 8), (3, 4), (3, 6)}.
a) The directed graph for relation R on A = {0, 1, 2, 3} can be represented as follows:
0 -> 0
1 -> 2
2 -> 2
Here, each element of A is represented as a node, and the directed edges indicate the pairs in the relation R.
The zero-one matrix for relation R can be written as:
| 1 0 0 0 |
| 0 0 1 0 |
| 0 0 1 0 |
| 0 0 0 0 |
In this matrix, a value of 1 indicates that the corresponding pair is in the relation, and 0 indicates that it is not.
b) The directed graph for relation S on B = {a, b, c, d} is as follows:
a -> b
a -> c
b -> c
d -> d
The zero-one matrix for relation S can be written as:
| 0 1 1 0 |
| 0 0 1 0 |
| 0 0 0 0 |
| 0 0 0 1 |
c) The directed graph for relation R on A = {0, 1, 2, 3} and B = {4, 5, 6, 8} is represented as follows:
0 -> 4
0 -> 6
1 -> 8
2 -> 4
2 -> 5
2 -> 8
3 -> 4
3 -> 6
The zero-one matrix for relation R can be written as:
| 0 0 0 0 |
| 0 0 0 0 |
| 1 0 0 0 |
| 0 0 0 0 |
| 1 0 0 0 |
| 0 0 0 0 |
| 1 0 0 0 |
| 0 0 0 0 |
In this matrix, each row represents an element of A, and each column represents an element of B. A value of 1 in the matrix indicates that the corresponding pair is in the relation, and 0 indicates that it is not.
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PLEASE HELP AND SHOW AN EXPLANATION ITS DUE IN 30 MINUTES!! Donna wants to create a stained glass window composed of one quarter circle, two semicircles, and one parallelogram. Which measurement is closest to the amount of stained glass in square inches Donna will
need to create the window?
Select the correct answer.
Which financial item transfers risk from one party to another?
equities or stocks
apartments
initial public offerings (IPOS)
stock futures
Submit
Answer:
Equities or stocks.
Step-by-step explanation:
Equities or stocks are the source of finance for a company. A company issues stocks and then the fund received from these stocks is used to run the business operations. Risk transfer is a way to minimize the self risk and transfer it to other person. When stocks are sold the risk is transferred to other person who buys the stocks.
Answer:
stock futures
Step-by-step explanation:
in the xy-plane, which of the following is an equation of a vertical asymptote to the graph Of y=sec(6x-pi)? (A) x=pi/6 (B) x=pi/4 (C) x=pi/3 (D)=x=pi/2 (E) x=pi
The equation of a vertical asymptote to the graph of y = sec(6x - π) is x = π/6. Hence, option a is correct.
The function y = sec(6x - π) has vertical asymptotes at the values of x where the denominator of sec(6x - π) becomes zero. The reciprocal of sec(θ) is cos(θ). Because the cosine function has the values π/2, 3π/2, 5π/2, we will insert such an input that we get 0 in denominator.
6x - π = π/2
Solving for x,
6x = π/2 + π
6x = 3π/2
x = (3π/2) / 6
x = π/6
Therefore, the equation of a vertical asymptote to the graph of y = sec(6x - π) is x = π/6.
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The ratio of people at a baseball game to bags of peanuts sold is 12:1. If there are 480 people, how many bags of peanuts will be sold?
I don't know how you 50th your mind to the fact 7days 7days I know that was 50th and I had no doubt about that can happen in a few months but his dream is the next one to get money to go some other time and do a few more pains in your car and get a better feel of what is the best thing for the use sharks live to the point in which 50th the world is not healthy and it
Answer: 40
Step-by-step explanation: For every 12 people, 1 bag of peanuts is sold. So for 480 people, which is 40 of 12 people, there must be 40 of 1 bag of peanuts, or 40 bags of peanuts, hope this helps!
A line segment drawn between points B and C on a circle forms its diameter. Point A is taken arbitrarily on the circumference of the circle, and line segments are drawn from A to B and A to C. Classify ∠BAC.(1 point)
acute angle
obtuse angle
straight angle
right angle
Answer:
Option D
A right angle
Step-by-step explanation:
in circle geometry, we have several theorems that govern angles formed by chords drawn in circles.
One of the theorems states that the angle subtended on the circumference of a circle by a chord which is drawn across the center of the circle (which is the diameter) equals 90 degrees. This means that it is a right-angle.
Analytically, we can also sketch out the problem and see that we can divide the shape formed by points BAC into an isosceles triangle. (The two radii forming the sides while the diameter forms the base). We can also run a bisector of the isosceles triangle through point A to meet the diameter. We can see that it forms two 45 by 45 degree right-angled triangles. Thus proving that angle BAC is indeed a right angle.
78.75 is what percent of 225?
Answer:
35%
Step-by-step explanation:
1. Multiply 78.75 by 100
78.75* 100 = 7875
2. Divide this by 225
7875/225 = 35
3. Make this number a precent 35%
1. In which number does the 6 have a value that is one-tenth the value of the 6 In 34,7612
A 16,305
B. 28,695
C. 51,364
D. 78,426
Answer:
ok
Step-by-step explanation:
use multiples to determine the LCM of 45and 60
Answer:
LCM of 45 and 60: 180
Step-by-step explanation:
An investor who earns $65,000 from employment and saves 4.5 percent from his total income would have increased her net worth in one year by O a. $2925. O b. $0. O C. $3000. O d. $2900.
To calculate the increase in net worth from the savings, we need to find 4.5% of the total income earned.
Total income earned = $65,000
To determine the increase in net worth from savings, we calculate 4.5% of the total income. Multiplying $65,000 by 4.5% gives us $2,925.
Savings = 4.5% of $65,000
[tex]=0.045*$65,000\\=$2,925[/tex]
This represents the amount saved by the investor over the course of one year. Therefore, the investor's net worth would have increased by $2,925. This amount reflects the portion of income saved and not spent, contributing to the overall growth of the investor's financial position.
Therefore, the investor would have increased her net worth by $2,925 in one year.
The correct answer is A. $2,925.
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Solve the following quadratic equation for all values of xx in simplest form. 3(x+1)²-15=-12
Answer:
x = 0, -2
Step-by-step explanation:
(x+3)(x-3)(3x+2) can you work this out please
Answer: 3x^3 + 2x^2 −27x −18
Step-by-step explanation below.
(x+3)(x−3)(3x+2)
=((x+3)(x−3))(3x+2)
=((x+3)(x−3))(3x)+((x+3)(x−3))(2)
=3x3−27x+2x2−18
=3x3+2x2−27x−18
Hope this helps!
after preparing a horizontal analysis of Blanchet
corporations balance sheet for 2019, what are some observations you
can make?
Overall, the horizontal analysis of Blanchet Corporation's balance sheet for 2019 suggests positive growth and financial stability.
There has been a significant increase in total assets from the previous year. This indicates potential growth and expansion in the company's operations.
The liabilities have also increased, but not at the same rate as the assets. This suggests that the company may have taken on additional debt or financing to support its growth.
The retained earnings have shown a positive trend, indicating that the company has been profitable and able to retain a portion of its earnings for reinvestment or future use.
The equity section has also grown, which can be attributed to the increase in retained earnings and potentially additional capital investments.
The increase in assets and retained earnings indicates the company's ability to generate profits and reinvest in its operations. However, the increase in liabilities should be carefully monitored to ensure it is manageable and sustainable in the long term.
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PLEASE HELP
A company makes two different size ice cream cones The small accounts are 3.5 inches tall and have a diameter of 3 inches The large cones are5.1 inches tall and have a diameter of 4.5 inches about how much greater to the nearest 10th of Cubic inch is the volume The larger cone than the smaller cone 
Answer:
19.545
Step-by-step explanation:
plzzz helllp i need it done in 20 mins
Answer: C
Step-by-step explanation: calculate the decimal and put it into the calculator to get the fraction
Step-by-step explanation:
[tex] {10}^{ - 3} \\ = \frac{1}{10 \times 10 \times 10} \\ = \frac{1}{1000} \: or \: 0.001[/tex]
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