What is the perimeter of the triangle with the points A (-2, 3) B (3, -3) and C (-2, -3)

Answer:

4/10 or 2/5

Step-by-step explanation:

probability of each letter:

J = 0/10

U = 2/10

M = 1/10

P =  1/10

(NO)²

\(\huge\mathfrak\red{hope \: it \: helps}\)

The expression for the given function f(x+12) is -5x - 46 which represents the function shifted 12 units to the left.

To find the expression for f(x+12), we substitute (x+12) in place of x in the original function f(x) = -5x + 14.

f(x+12) = -5(x+12) + 14

Now, let's simplify the expression:

f(x+12) = -5x - 60 + 14

Combining like terms:

f(x+12) = -5x - 46

Therefore, the expression for f(x+12) is -5x - 46.

This means that when we substitute (x+12) into the function f(x), the resulting function f(x+12) is equal to -5x - 46.

The effect of adding 12 to the input (x) is that the entire graph of the original function f(x) is shifted 12 units to the left. The slope (-5) remains the same, and the y-intercept (14) remains the same as well.

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Answer:

Total is 3

Step-by-step explanation:

AI-generated answer

Let's start by finding out how many marbles John had initially. We can do this by using the information given in the problem.

Let the original number of marbles be x.

John gave away 3/4 of his marbles, which means he has 1/4 of the original number of marbles left. We can express this as:

1/4 x = the number of marbles John has left

If we solve for x, we get:

4/1 * 1/4 x = 4/1 * the number of marbles John has left

x = 4 * the number of marbles John has left

Now we know that John had 4 times the number of marbles he has left.

Next, John receives another bag of marbles containing 2/4 (which is the same as 1/2) of the original number of marbles.

We can express this as:

1/2 x = the number of marbles in the new bag

To find the total number of marbles John has now, we can add the number of marbles he has left to the number of marbles in the new bag:

Total number of marbles = the number of marbles John has left + the number of marbles in the new bag

Total number of marbles = 1/4 x + 1/2 x

Total number of marbles = (1/4 + 1/2) x

Total number of marbles = (3/4) x

We know that x = 4 times the number of marbles John has left, so we can substitute this into the equation:

Total number of marbles = (3/4) * 4 * the number of marbles John has left

Total number of marbles = 3 * the number of marbles John has left

Therefore, the total number of marbles John has now is 3 times the number of marbles he has left.

Tell me in the commets if you didn't understand a word or something in the equation. :)

I apologize, I am unable to create tables or upload scanned documents. However, I can assist you in calculating the amount each investor will receive in each year based on the given information.

To calculate the amount received by each investor in each year, we need to follow these steps:

Calculate the total profit earned by the bank in each year by subtracting the loss values from zero.

Year 1: 0 - (-78,000) = 78,000

Year 2: 0 - (-23,000) = 23,000

Year 3: 29,000

Year 4: 63,000

Year 5: 103,500

Calculate the total profit to be distributed among the investors in each year, which is 60% of the total profit earned by the bank.

Year 1: 0.6 * 78,000 = 46,800

Year 2: 0.6 * 23,000 = 13,800

Year 3: 0.6 * 29,000 = 17,400

Year 4: 0.6 * 63,000 = 37,800

Year 5: 0.6 * 103,500 = 62,100

Calculate the profit share for each investor based on their respective share of the investment.

Year 1:

Fahad: (30/100) * 46,800

Yashara: (50/100) * 46,800

Saud: (20/100) * 46,800

Fariha: (40/100) * 46,800

Younus: (25/100) * 46,800

Asif: (35/100) * 46,800

Similarly, calculate the profit share for each investor in the remaining years using the same formula.

By following the calculations above, you can determine the amount each investor will receive in each year based on their share of the investment.

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The sequence {-5/2, 9/4, -13/8, ...} can be represented by the formula aₙ = (-1)ⁿ⁺¹(4n-1)/2ⁿ, where n is the position of the term in the sequence.

To derive this formula, let's analyze the given sequence. We notice that the signs alternate between negative and positive. This can be represented by (-1)ⁿ⁺¹, where n is the position of the term.
Next, we observe that the numerators of the terms follow a pattern of increasing by 4, starting from -5. This can be represented by (4n-1).
Finally, the denominators of the terms follow a pattern of doubling, starting from 2. This can be represented by 2ⁿ.
Combining all these patterns, we obtain the formula aₙ = (-1)ⁿ⁺¹(4n-1)/2ⁿ, which gives us the nth term of the sequence.
Using this formula, we can calculate any term in the sequence by plugging in the corresponding value of n.

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C. The probability of the type I error best defines the notion of the significance position of a thesis test.

The significance position, denoted by alpha( α), is the probability of rejecting the null thesis(H_o) when it's actually true. This is also known as a type I error, which occurs when we inaptly reject a true null thesis.

Option a isn't correct because the probability of rejecting H_o, whether it's true or not, isn't fixed and depends on the sample and the chosen significance position.

Option b isn't correct because it describes the p- value, which is a affiliated conception but not the significance position. The p- value is the probability of observing a sample statistic as extreme or more extreme than the one actually attained, assuming the null thesis is true.

Option d is also not correct because it describes the probability of a type II error, which occurs when we fail to reject a false null thesis. The probability of a type II error is denoted by beta( β) and is told by factors similar as sample size and effect size.

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Step-by-step explanation:

So, We are given one condition that:-

Hope it helps :)

Answer:

30 degrees

Step-by-step explanation:

After using quadric equation The factors are 0, \(\frac{9}{5}\).

Having the form ax2 + bx + c = 0, quadratic equations seem to be second-degree algebraic expressions. From the word "quad," which means square, comes the word "quadratic." A quadratic equation is a "equation of degree 2," to put it another way. A quadratic equation is used in numerous situations. In addition, there are many uses for quadratic equations in physics, engineering, astronomy, etc.

Given that,

\(10x^{2} -18x = 0\)

Taking the common 2x from the given equation

2x(5x-9) = 0

2x = 0

x = 0

5x-9 = 0

x = \(\frac{9}{5}\)

Hence, The factors are 0, \(\frac{9}{5}\).

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By using the current currency exchange rate , the value of 120 Euros is equivalent to $128.4    .

The "Euro" is the official currency of the European Union, which includes 19 of its member states. and  The "US dollar", is official currency of the United States.

The Currency Exchange Rate between euros and dollars can vary depending on market conditions, but

The current exchange rate is approximately 1 euro = 1.07 US dollars.

By using this exchange rate, we can calculate that 120 euros is equal to ;

⇒ 120 euros × 1.07 US dollars/euro = 128.4 US dollars .

Therefore, 120 euros is equivalent to 128.4 US dollars at the current exchange rate.

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The statistic that the researcher would be most interested in for determining the average number of times per month respondents eat at fast food restaurants is the mean. The mean represents the average value of a set of data points and is commonly used to measure central tendency.

In this case, the researcher wants to know the average number of times per month respondents eat at fast food restaurants. By calculating the mean, the researcher can obtain a single value that represents the typical or average frequency of eating at fast food restaurants among the respondents. The standard deviation (A) is a measure of the dispersion or variability of the data points around the mean. The proportion (B) is a measure of the relative size or fraction of a subgroup within a larger group. The variance (D) is a measure of the average squared deviation from the mean. While these statistics can provide valuable information, they are not specifically suited to determine the average number of times per month respondents eat at fast food restaurants. Hence, the most relevant statistic in this scenario would be the mean (C).

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Answer: The first one

Step-by-step explanation:

3a + 11 > 5

Subtract 11 from both sides:-

3a > 5 - 11

3a > -6

a > -2

Answer:

It would be the first one

Step-by-step explanation:

problem---> 3a + 11 > 5

FIND a

1. Subtract 11 from both sides:-

which would look like this "3a > 5 - 11"

=3a > -6

a > -2

ANSWER; C.

The area of this figure is the sum of areas of the right triangle and the semi-circle

Area of the triangle = 1/2 * base * height

The base = 6 feet

The height = 8 feet

So the area of the triangle is:

Now let us find the area of the semi-circle

Area of semi-circle = 1/2 * 3.14 * r^2

Since the diameter of the semi-circle is 8 feet and the radius is 1/2 the diameter

So the radius = 8/2 = 4 ft

Area of semi-circle is:

Let us add the two areas to find the area of the figure

Area of the figure = 24 + 25.12 = 49.12 square feet

The missing is 49.12

Answer:

-7j +3

Step-by-step explanation:

-5j -2j +3

-7j +3

like terms are combined. combine the js

Answer:

d

Step-by-step explanation:

CAFDYahi Sahi answer hai bhai

Using the power rule for differentiation, the first derivative of

\(f(x) = -x^{\frac12}\)

is

\(f'(x) = -\dfrac12 \cdot x^{\frac12-1} = -\dfrac12 x^{-\frac12}\)

and the second derivative is

\(f''(x) = -\dfrac12 \cdot \left(-\dfrac12 \cdot x^{-\frac12 - 1}\right) = \dfrac14 x^{-\frac32}\)

which makes E the correct choice.

The value of |EE| at P(/ 6 , 0.1, 2) is  |20^(-0.5)(cos(5/6) ax + cos(5/6)ay)|.

To find the magnitude |EE| at point P, we substitute the coordinates of P (x, y, z) into the expression for EE and calculate the magnitude using the Pythagorean theorem.

Given EE = 20^(-5y)(cos(5x) ax + cos(5x)ay), we evaluate it at P(/6, 0.1, 2):

|EE| = |20^(-5y)(cos(5x) ax + cos(5x)ay)|

Substituting the coordinates of P, we have:

|EE| = |20^(-5(0.1))(cos(5(/6)) ax + cos(5(/6))ay)|

Simplifying further:

|EE| = |20^(-0.5)(cos(5/6) ax + cos(5/6)ay)|

To find a unit vector in the direction of E at point P, we divide the vector EE by its magnitude |EE|.

Unit vector in the direction of E at P = EE / |EE|

Substituting the values, we have:

Unit vector in the direction of E at P = (20^(-5y)(cos(5x) ax + cos(5x)ay)) / |EE|

Finally, to find the equation of the direction line passing through point P, we use the parametric form of the line equation, which is:

(x - x₀) / a = (y - y₀) / b = (z - z₀) / c

where (x₀, y₀, z₀) is the given point on the line and (a, b, c) is the direction vector. In this case, the direction vector is the unit vector in the direction of E at point P. Substitute the values of P and the direction vector into the equation, and simplify if necessary to obtain the equation of the line passing through P.

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The value of |EE| at P(/ 6 , 0.1, 2) is  |20^(-0.5)(cos(5/6) ax + cos(5/6)ay)|.

To find the magnitude |EE| at point P, we substitute the coordinates of P (x, y, z) into the expression for EE and calculate the magnitude using the Pythagorean theorem.

Given EE = 20^(-5y)(cos(5x) ax + cos(5x)ay), we evaluate it at P(/6, 0.1, 2):

|EE| = |20^(-5y)(cos(5x) ax + cos(5x)ay)|

Substituting the coordinates of P, we have:

|EE| = |20^(-5(0.1))(cos(5(/6)) ax + cos(5(/6))ay)|

Simplifying further:

|EE| = |20^(-0.5)(cos(5/6) ax + cos(5/6)ay)|

To find a unit vector in the direction of E at point P, we divide the vector EE by its magnitude |EE|.

Unit vector in the direction of E at P = EE / |EE|

Substituting the values, we have:

Unit vector in the direction of E at P = (20^(-5y)(cos(5x) ax + cos(5x)ay)) / |EE|

Finally, to find the equation of the direction line passing through point P, we use the parametric form of the line equation, which is:

(x - x₀) / a = (y - y₀) / b = (z - z₀) / c

where (x₀, y₀, z₀) is the given point on the line and (a, b, c) is the direction vector. In this case, the direction vector is the unit vector in the direction of E at point P. Substitute the values of P and the direction vector into the equation, and simplify if necessary to obtain the equation of the line passing through P.

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Answer:

Step-by-step explanation:

Answer:

I think that the coordinates are (2,3) but I'm not sure.

Step-by-step explanation:

In slope-intercept form, the equation of a line is written as y = mx + b, where m is the slope of the line and b is the y-intercept, which is the point at which the line crosses the y-axis.

Given that the line goes through the point (2, -5) and has a slope of m, we can substitute these values into the equation to solve for b, the y-intercept.

So, the equation becomes:

To solve for b, we can rearrange the equation to get b by itself on one side:

Therefore, the equation of the line in slope-intercept form is:

Note that we can simplify this equation further by combining like terms to get:

This is the final form of the equation.

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The inequality that models the number of games Leo can play is g ≤ 16. He can play a maximum of 16 games with the $20 he has.

To determine the inequality representing the number of games Leo can play, we can start by subtracting the cost of the soda and bag of hot Cheetos ($4) from the total amount of money he has ($20). This leaves us with $16. Since each game costs $1, we can express the number of games as g. To find the maximum number of games Leo can play, we divide the remaining amount of money by the cost per game. So, the inequality becomes g ≤ 16, indicating that the number of games, g, must be less than or equal to 16.

To solve this inequality, we already know that g ≤ 16. Since we're looking for the maximum number of games Leo can play, we choose the largest whole number that satisfies the inequality. Dividing $16 by $1, we find that Leo can play a maximum of 16 games. Therefore, the solution to the inequality is g = 16. Leo can enjoy playing up to 16 games at the arcade with the $20 he has, while still being able to purchase a soda and a bag of hot Cheetos.

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Simpson's rule is a numerical method for approximating integrals. It works by approximating the function being integrated as a parabola over each interval and then summing the areas of those parabolas to estimate the total area under the curve.

To estimate the integral ∫201x3 1−−−−−√dx using Simpson's rule with n = 8, we first need to divide the interval [2, 1] into 8 equal subintervals. The width of each subinterval, h, is therefore:

h = (b - a) / n
h = (1 - 2) / 8
h = -1/8

Next, we need to evaluate the function at the endpoints of each subinterval and at the midpoint of each subinterval. We can then use those values to construct the parabolas that will approximate the function over each subinterval.

The values of the function at the endpoints and midpoints of each subinterval are:

f(2) = 0
f(2 - h) = f(17/8) = 15.297
f(2 - h/2) = f(9/4) = 14.368
f(2 - 3h/2) = f(5/2) = 13.369
f(2 - 2h) = f(15/8) = 12.297
f(2 - 5h/2) = f(11/4) = 11.136
f(2 - 3h) = f(7/2) = 9.869
f(2 - 7h/2) = f(13/4) = 8.480

Using these values, we can now calculate the area under the curve over each subinterval using Simpson's rule:

∫f(x)dx ≈ h/3 * [f(a) + 4f((a+b)/2) + f(b)]

Applying this formula to each subinterval and summing the results, we get:

∫201x3 1−−−−−√dx ≈ -1/24 * [0 + 4(15.297) + 2(14.368) + 4(13.369) + 2(12.297) + 4(11.136) + 2(9.869) + 4(8.480) + 0]

Simplifying this expression, we get:

∫201x3 1−−−−−√dx ≈ -8.645

So the estimated value of the integral is -8.645.

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Answer:

Below.

Step-by-step explanation:

f) (a + b)^3 - 4(a + b)^2  

The (a+ b)^2 can be taken out to give:

= (a + b)^2(a + b - 4)

= (a + b)(a + b)(a + b - 4).

g)  3x(x - y) - 6(-x + y)

=  3x( x - y) + 6(x - y)

= (3x + 6)(x - y)

= 3(x + 2)(x - y).

h) (6a - 5b)(c - d) + (3a + 4b)(d - c)

=  (6a - 5b)(c - d) + (-3a - 4b)(c - d)

= -(c - d)(6a - 5b)(3a + 4b).

i)  -3d(-9a - 2b) + 2c (9a + 2b)

= 3d(9a + 2b) + 2c (9a + 2b)

=  3d(9a + 2b) + 2c (9a + 2b).

= (3d + 2c)(9a + 2b).

j)  a^2b^3(2a + 1) - 6ab^2(-1 - 2a)

=  a^2b^3(2a + 1) + 6ab^2(2a + 1)

= (2a + 1)( a^2b^3 + 6ab^2)

The GCF of a^2b^3 and  6ab^2 is ab^2, so we have:

(2a + 1)ab^2(ab + 6)

= ab^2(ab + 6)(2a + 1).

Answer:

7:23

Step-by-step explanation:

18400/800=23

5600/800=7

To find the z-score for a sales associate who earns $37,500, we can use the formula:

z = (x - μ) / σ

Where:

x is the value we want to convert to a z-score (in this case, $37,500),

μ is the mean of the distribution (in this case, $32,500), and

σ is the standard deviation of the distribution (in this case, $2,500).

Substituting the given values into the formula, we have:

z = (37,500 - 32,500) / 2,500

z = 5,000 / 2,500

z = 2

Therefore, the z-score for a sales associate who earns $37,500 is 2.

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The z-score for a sales associate earning $37,500 in a system where the mean salary is $32,500 and the standard deviation is $2,500 has a z-score of 2. This score indicates that the associate's salary is two standard deviations above the mean.

The z-score represents how many standard deviations a value is from the mean. In this case, the value is the salary of a sales associate, the mean is the average salary, and the standard deviation is the average variation in salaries.

We calculate the z-score by subtracting the mean from the value and dividing by the standard deviation, like so:

Z = (Value - Mean) / Standard Deviation

So, the z-score for an associate earning $37,500 would be:

Z = ($37,500 - $32,500) / $2,500

This gives us a z-score of +2, indicating that a salary of $37,500 is two standard deviations above mean.

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Answer:

c

Step-by-step explanation:

find 6%

429.99*6/100= 25.7994

Total cause of the laptop

429.99+25.7994= 455.79

No, the cost of the laptop after applying sales tax is $455.79.(option c)

A sales tax is a consumption tax imposed by the government on the sale of goods and services.

We have,

Lewis saved dollar for a new laptop = 450 dollar

Laptop sticker price = 429.99 dollar

Sales tax rate = 6%

According to the question

Sales tax rate of 429.99 dollar

=429.99 × 6/100

= 25.7994

Total cause of the laptop

429.99+25.7994= 455.79

Hence, the cost of the laptop after sales tax is 455.79 dollar

Thus ,Lewis have not enough to purchase the laptop.

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The true statements about the synthetic division are

The synthetic division is given as:

3)2 -2 -12

       6 12

    2 4 0

In the above representation of the synthetic division, we have:

Because the remainder is 0, then

(2x^2 - 2x - 12) ÷ (x - 3) = (2x + 4) --- option C

Set the divisor to 0

x - 3 = 0

Solve for x

x = 3

This means that 3 is a root of 2x^2 - 2x - 12 --- option (D) and x - 3 is a factor of 2x^2 - 2x - 12 --- option (E)

Hence, the true statements are (C), (D) and (E)

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Answer:

Loading...

Step-by-step explanation:

Answer:

IJ = 15

Step-by-step explanation:

Since ∠ I ≅ ∠ H , then Δ HIJ is isosceles with sides JH and IJ congruent.

Thus IJ = JH = 15

Answer:

1145

Step-by-step explanation:

830(2) 28/13

​   ^ do that ok??????? plug it in!!!!!!!!

then do u know what u will get? u will get this !!!!!! y = 1145.09631989

round 2 da whole numba and den boom shakalaka B ) i got my question wrong so that i could put the right answer here. bye yall

The number of bacteria doubling every 28 hours will be 1145 after 13 hours.

The formula for exponential growth is y = y₀.e^(kt).

The formula for exponential decay is y = y₀.e^(-kt).

In the case of doubling the growth of bacteria, we can use the formula,

\(y_f = y_0\times2^{\frac{t_r}{t}\), where \(y_f\) represents the final population, \(y_0\) is the initial population, \(t_r\) is the time we are required to determine, and \(t\) represents the time rate growth.

Therefore from the given information, the number of bacteria after 13 hours will be,

\(y_f = 830\times2^{\frac{13}{28}\).

\(y_f = 830\times1.38\).

\(y_f = 1144.86\) or 1145 bacterias.

Q. In a lab experiment, 830 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 28 hours. How many bacteria would there be after 13 hours, to the nearest whole number?​

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