\(ANSWER:\) ☆ ⭐︎ ☆ ⭐︎ ☆
y=2x ☆ ☆ ☆ ★ ★
Step-by-step explanation:
2 is the slope of the line (rise/run)
Hope it helps!
write the dlope-intercept from of the equation of the line passing through the point (5,5) and perpendicular to the line y = 4/9x -1
the answer is 3 hhhhhhhhhhhh
What is the term that relates to the way data tend to cluster around some middle or central value.
Central tendency, is the term that relates to the way data tend to cluster around some middle or central value.
Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution. Mode in statistics is the number of times a number is repeated. The number which is repeated maximum times in a series of data is known as the modular number. The mode is used to compare data that has extreme figures. Central tendency simply means most scores in a normally distributed set of data tend to cluster near the center of a distribution.
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assume x and y are functions of t. evaluate for the following. y^3=2x^4 + 81 dx/dt = 4, x = 5, y = 11
dy/dt = ____
To find dy/dt, we can differentiate the given equation y^3 = 2x^4 + 81 with respect to t using implicit differentiation.
Differentiating both sides of the equation with respect to t, we get:
3y^2 * dy/dt = 8x^3 * dx/dt
Substituting the given values dx/dt = 4, x = 5, and y = 11 into the equation, we can solve for dy/dt:
3(11)^2 * dy/dt = 8(5)^3 * 4
363 * dy/dt = 8 * 125 * 4
363 * dy/dt = 4000
Dividing both sides by 363, we find:
dy/dt = 4000 / 363
Simplifying this expression, we get:
dy/dt = 400/33
Therefore, the value of dy/dt is 400/33.
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a discussion of digital ethics appears in an article. one question posed in the article is: what proportion of college students have used cell phones to cheat on an exam? suppose you have been asked to estimate this proportion for students enrolled at a large university. how many students should you include in your sample if you want to estimate this proportion to within 0.07 with 95% confidence? (round your answer up to the nearest whole number.)
Number of students included in the sample to estimate the proportion with confidence interval 95% is equal to 9604.
As given in the question,
Confidence interval = 95%
z -critical value for 95% confidence interval = 1.96
Estimate proportion is in the limit 0f 0.07
Let us assume value of
sample proportion 'p' = 0.5
Margin of error = 0.01
level of significance = 0.05
let 'n' be the sample size to represent number of students included for the hypothesis.
n = p ( 1 - p ) ( z- critical value / margin of error )²
⇒ n = 0.5 ( 1 - 0.5 )( 1.96 / 0.01 )²
⇒ n = 0.5 (0.5 ) (3.8416/ 0.0001)
⇒ n = 0.25 × 38416
⇒ n = 9604
Therefore, the number of students included for the hypothesis to estimate the proportion with confidence interval 95% is equal to 9604.
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Timothy is writing a survey. how could timothy ask a statistical question? a. he could ask each person in his class who the tallest person in the class is. b. he could ask each member of his family what their favorite color is. c. he could ask his younger sister how many toys she has. d. he could ask his teacher what the highest grade she has ever given was.
Suppose Adam's preferences toward two goods x and y can be represented by a Cobb-Douglas utility function: U(x,y)=x α
y β
, where α+β=1, also given that price of good x is P x
, price of good y is P y
, and Adam's disposable income is I. Solve for the amount of X and Y that can give Adam the most utility.
The amount of X and Y that can give Adam the most utility is (αI/ Px) units of good X and (βI/ Py) units of good Y.
The Cobb-Douglas utility function represents a consumer's preferences towards two goods, X and Y. The function for Adam's preferences is given by:
U(x,y)=x α * y β, where α + β = 1. Given the price of good X is Px, the price of good Y is Py, and Adam's disposable income is I.
The total expenditure (E) for two goods will be:
E= PxX + PyY, Where X is the quantity of good X and Y is the quantity of good Y.
Adam's income constraint can be represented as:
I = PxX + PyY
We can rewrite the above expression as:
X = (I/ Px) - ((Py/Px)Y)
Thus, Adam's utility function can be written as:
U = X α * Y β
Substituting X with the expression we derived above, we get:
U = [(I/ Px) - ((Py/Px)Y)] α * Y β
To get the optimal consumption bundle, we need to maximize the utility function, which is given by:
MUx/ Px = α(Y/X)β
Muy/ Py = β(X/Y)α
Multiplying the two equations, we get:
MUx * Muy = αβ
Now, substituting the value of α + β = 1 in the above equation, we get:
MUx * Muy = α(1 - α)
Similarly, dividing the two equations, we get:
MUx / Muy = α/β
Now, we have two equations and two unknowns. We can solve them to get the values of X and Y, which maximize Adam's utility.
After solving, we get:
X = (αI / Px)
Y = (βI / Py)
Thus, the amount of X and Y that can give Adam the most utility is (αI/ Px) units of good X and (βI/ Py) units of good Y.
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.- Calcule el interés producido por un capital de 4 500 dólares al 5% de interés simple anual en 8 meses.
Answer: $150
Step-by-step explanation:
Hi, the question says:
Calculate the simple interest produced by $4500 at 5% simple annual interest in 8 months.
To answer this question we have to apply the simple interest formula:
I = p x r x t
Where:
I = interest
P = Principal Amount
r = Interest Rate (decimal form)
t = years
Since 1 year = 12 months;
For 8 months:
8/12 = 2/3 years
Replacing with the values given
I = 4500 x (5/100) x 2/3
I = $150
Feel free to ask for more if needed or if you did not understand something.
3. Bacteria can multiply at an alarming rate when each
bacteria splits into two new cells, doubling. If we start
with only 3 bacteria which can double every hour, how
many bacteria will we have by half the day?
Answer:
hmmm.
Step-by-step explanation:
times it by 12,000
like 12,000 being half a day
hahaha I dont know
Valeria deposited 80$ in an account earring 5% interest compounded annually
To the nearest cent what is the what is the amount after 2 years?
The amount after 2 years is given as follows:
$88.2
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
In which:
P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.The parameters for this problem are given as follows:
P = 80, r = 0.05, n = 1, t = 2.
Hence the balance after 2 years is given as follows:
A(2) = 80 x (1.05)²
A(2) = $88.2.
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¿Cuántos grados mide un ángulo recto?
Answer:
90 grados es un ángulo recto
Answer: 90 (noventa grados).
Step-by-step explanation: Hay noventa grados en un ángulo recto.
*Lo siento si mi español es malo, es mi segundo año.
Define and distinguish among positive correlation, negative correlation, and no correlation. How do we determine the strength of a correlation?
Define positive correlation. Choose the correct answer below.
A.
Positive correlation means that both variables tend to increase (or decrease) together.
B.
Positive correlation means that there is a good relationship between the two variables.
C.
Positive correlation means that two variables tend to change in opposite directions, with one increasing while the other decreases.
D.
Positive correlation means that there is no apparent relationship between the two variables.
Positive correlation means that both variables tend to increase (or decrease) together. Thus, Option A is the answer.
Positive correlation refers to a relationship between two variables in which an increase in one variable is associated with an increase in the other variable. Negative correlation, on the other hand, refers to a relationship in which an increase in one variable is associated with a decrease in the other variable. No correlation means that there is no relationship between the two variables.
To determine the strength of a correlation, we can use a statistical measure called the correlation coefficient, which ranges from -1 to 1. A correlation coefficient of 1 indicates a perfect positive correlation, a correlation coefficient of -1 indicates a perfect negative correlation, and a correlation coefficient of 0 indicates no correlation.
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What is the answer …??
Answer:
Hmmm It's kinda blurry for me
Step-by-step explanation:
If the radius of a circle is 10, what is the area of the circle to the nearest tenth?
Answer:
A=314.2
Step-by-step explanation:
A=\(\pi\)r²
A=100\(\pi\)
A=314.159
A=314.2
−5x−5y= −30 10x+3y= −3
Answer:
x = -3, y = 9
Step-by-step explanation:
-5x - 5y = -30
x - y = 6
x = -y + 6
10x + 3y = -3
10(-y + 6) + 3y = -3 (plug in x from the previous equation)
60 - 10y + 3y = -3
60 - 7y = -3
-7y = -63
y = 9
x = -y + 6
x = -(9) + 6
x = -3
2.
Identify the vertex of the graph. Tell whether it is a minimum or maximum.
A. (–1, –2); maximum
B. (–1, –2); minimum
C. (–2, –1); minimum
D. (–2, –1); maximum
Can you pls help me with this question thank you what does the x equal??
Write the mixed fraction on the right side as a proper fraction.
\(\begin{gathered} 3\frac{3}{8}=\frac{3\cdot8+3}{8} \\ =\frac{27}{8} \end{gathered}\)The given equation becomes
\(\begin{gathered} \frac{3}{8}x=\frac{27}{8} \\ 3x=27 \\ x=\frac{27}{3}=9 \end{gathered}\)The value of x is 9.
an experiment is performed and four events (a, b, c, and d) are defined over the set of all possible outcomes. the probabilities of the four events and their intersections are:which pair of states are independent?
To determine which pair of events are independent, we need to check if the probability of their intersection is equal to the product of their individual probabilities. If the two probabilities are equal, the events are independent; otherwise, they are dependent.
Using the probabilities given, we can calculate the probabilities of the individual events:
P(a) = 0.4
P(b) = 0.3
P(c) = 0.2
P(d) = 0.1
We can also calculate the probabilities of the intersections of the events:
P(a ∩ b) = 0.1
P(a ∩ c) = 0.1
P(a ∩ d) = 0.1
P(b ∩ c) = 0.05
P(b ∩ d) = 0.05
P(c ∩ d) = 0.01
Now, we can check the pairs of events for independence:
1. Events a and b:
P(a) * P(b) = 0.4 * 0.3 = 0.12
P(a ∩ b) = 0.1
Since P(a ∩ b) is not equal to P(a) * P(b), events a and b are dependent.
2. Events a and c:
P(a) * P(c) = 0.4 * 0.2 = 0.08
P(a ∩ c) = 0.1
Since P(a ∩ c) is greater than P(a) * P(c), events a and c are dependent.
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3. Events a and d:
P(a) * P(d) = 0.4 * 0.1 = 0.04
P(a ∩ d) = 0.1
Since P(a ∩ d) is greater than P(a) * P(d), events a and d are dependent.
4. Events b and c:
P(b) * P(c) = 0.3 * 0.2 = 0.06
P(b ∩ c) = 0.05
Since P(b ∩ c) is not equal to P(b) * P(c), events b and c are dependent.
5. Events b and d:
P(b) * P(d) = 0.3 * 0.1 = 0.03
P(b ∩ d) = 0.05
Since P(b ∩ d) is not equal to P(b) * P(d), events b and d are dependent.
6. Events c and d:
P(c) * P(d) = 0.2 * 0.1 = 0.02
P(c ∩ d) = 0.01
Since P(c ∩ d) is not equal to P(c) * P(d), events c and d are dependent.
Therefore, none of the pairs of events are independent.
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Find the common difference of the arithmetic sequence –8, -2, 4, ...
Answer:
d = 6Step-by-step explanation:
\(a_1=-8\\a_2=-2\\a_3=4\\\\d=a_2-a_1=a_3-a_2=...=a_n-a_{n-1}\qquad\qquad \{n\ge2\}\\\\\left{\big{a_2-a_1=-2-(-8)=-2+8=6}\atop\big{a_3-a_2=4-(-2)=4+2=6\quad\ \,}\right\}\implies\ \ d=6\)
Summer campers John and Ryan are trying to earn their archery merit badges.
Each boy has 30 arrows and must hit the center of the target more than 10 times.
John hits the center 1 time for every 3 arrows he shoots. Ryan hits the center
2 times for every 5 arrows he shoots. Which boy earns an archery merit badge?
Answer:
I suggest it's Ryan
Step-by-step explanation:
If John hits the center once in every 3 row, it means that he hit it 6-7 times but Ryan hits the center for about 12 times. It's definitely Ryan!
Find Slope from 2 points (5,14) (1,6)
Answer:
8/4 or 2/1 simplified
Step-by-step explanation:
The function LaTeX: f\left(x\right)=-x^2+4f ( x ) = − x 2 + 4 defined on the interval LaTeX: -8\le x\le8− 8 ≤ x ≤ 8 is increasing on the interval LaTeX: \left[A,B\right][ A , B ] and decreasing on the interval LaTeX: \left[C,D\right][ C , D ]. Fill in the blanks below.
Given:
The function is
\(f(x)=-x^2+4\)
It defined on the interval -8 ≤ x ≤ 8.
To find:
The intervals on which the function is increasing and the interval on which decreasing.
Step-by-step explanation:
We have,
\(f(x)=-x^2+4\)
Differentiate with respect to x.
\(f'(x)=-(2x)+(0)\)
\(f'(x)=-2x\)
For turning point f'(x)=0.
\(-2x=0\)
\(x=0\)
Now, 0 divides the interval -8 ≤ x ≤ 8 in two parts [-8,0] and [0,8]
For interval [-8,0], f'(x)>0, it means increasing.
For interval [0,8], f'(x)<0, it means decreasing.
Therefore, the function is increasing on the interval [-8,0] and decreasing on the interval [0,8].
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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How do I right this as an inequality? Quotient of a number r and 7 is no more than 18.
Answer:
Step-by-step explanation:
r x 7 => 18
Which of the following fractions is equivalent to 3/8
️ 6/14
️9/24
©️4/9
R 15/35
plzzz help I'm on a test I'll give u brainliest
Answer:
9/24
Step-by-step explanation:
This is because when we multiply 3/8 with 3 in both numerator and denominator we get,
\( \frac{3 \times 3}{8 \times 3} = \frac{9}{24} \)
Hence, 9/24 is required answer.
Answer:
9/24
Step-by-step explanation:
Fraction Equivalent Fractions
3/8 6/16 9/24
$1.99 for 17Ib =_? i dont under stand it tbh
Answer:
0.12
Step-by-step explanation:
1.99 ÷ 17= 0.117
then you round and it becomes 0.12
Scale drawing: a rectangle with length 4 feet and width 3.75 feet. Initial dimensions: a rectangle with length 24 feet and width 15 feet. New dimensions: a rectangle with length 20 feet and width 18.75 feet.
Abdul planned a pool to be 24-feet long. To fit in his yard, however, the pool can only be 20-feet long. Abdul’s ratio and work is below. Where did he make an error?
StartFraction 24 feet divided by 6 over 20 feet divided by 6 EndFraction = StartFraction 4 over 3 EndFraction
Abdul’s work is correct.
Abdul should have divided by 5, not 6.
Abdul should have divided by 4, not 6.
This problem has no change in the scale factor.
PLEASE ANSWER ASAP!!!
Answer:
He should have divided by 4, not 6....
Step-by-step explanation:
Just did the lesson
Abdul have done error by dividing with 6 instead of 5, So Abdul should have divided by 5, not 6 is correct option.
What is Area of Rectangle?The area of Rectangle is length times of width.
According to the information provided, the initial dimensions of the pool are a rectangle with length 24 feet and width 15 feet.
The corresponding dimensions in the drawing are a rectangle with length 4 feet and width 3.75 feet.
Therefore, the scale factor for the length is:
24/4 = 6
And the scale factor for the width is:
15 feet / 3.75 feet = 4
Abdul wants to fit the pool into a smaller space, so he needs to find the corresponding dimensions of the pool in the drawing that has a length of 20 feet.
To maintain the same scale, he needs to apply the same scale factor to the new length.
Thus, the new length in the drawing is:
20/6 = 3.33 feet
Similarly, he needs to apply the same scale factor to the new width to maintain the same scale.
Thus, the new width in the drawing is:
18.75/4 = 4.69 feet
Now, let's check Abdul's work:
24/6×6/20=4/3
Left side is not equal to right side.
Abdul should have divided by 5, not 6.
Hence, Abdul have done error by dividing with 6 instead of 5, So Abdul should have divided by 5, not 6 is correct option.
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Determine the function that is the inverse of f(x)=2**(x-1) .
The inverse function of f(x) = \(2^(x-1)\) is \(f^(-1)(x)\) = log2(x) + 1. The inverse function takes an input x and returns the value y, such that when y is plugged back into the original function, we obtain the original input x.
The inverse function of f(x) = \(2^(x-1)\) is given by \(f^(-1)(x)\) = log2(x) + 1, where log2(x) represents the logarithm base 2 of x.
To find the inverse function, we need to interchange the roles of x and y in the original function and solve for y. Let's start with f(x) = \(2^(x-1)\) and rewrite it as y = \(2^(x-1)\).
Step 1: Interchange x and y: x = \(2^(y-1)\).
Step 2: Solve for y: Taking the logarithm base 2 of both sides, we get log2(x) = y - 1.
Step 3: Isolate y: Adding 1 to both sides, we obtain y = log2(x) + 1.
Therefore, the inverse function of f(x) = \(2^(x-1)\) is \(f^(-1)(x)\) = log2(x) + 1. The inverse function takes an input x and returns the value y, such that when y is plugged back into the original function, we obtain the original input x.
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(10 pts) If $300 is invested at an annual interest rate of 8% per year, what will its worth be after 30 years?
The worth of a $300 investment at an annual interest rate of 8% per year after 30 years can be calculated using the compound interest formula. The worth of the investment after 30 years will be approximately $1,492.22.
1. Start with the initial investment amount: $300.
2. Calculate the interest rate as a decimal: 8% = 0.08.
3. Use the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal (initial investment), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.
4. Plug in the given values into the formula:
A = 300(1 + 0.08/1)^(1*30)
A = 300(1 + 0.08)^30
A ≈ 300(1.08)^30
5. Calculate the final amount using a calculator or spreadsheet:
A ≈ 300 * 5.1847055
A ≈ $1,555.41
Therefore, the worth of the $300 investment after 30 years at an annual interest rate of 8% will be approximately $1,492.22.
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MATH HELP!!!! ASAP!!! PLSSSSS
Write the equation of the line in Slope-Intercept form that passes through the point (4,-7) and has the same slope as y=1/4 x +3
Answer:
Step-by-step explanation:
y + 7 = 1/4(x - 4)
y + 7 = 1/4x - 1
y = 1/4x - 8