What is the solution to this equation? ​

Answer:

heres some apps to help with stuff like wolframalpha.com, mathly

Step-by-step explanation:

so hmmm say A(-10 , 5) , B(8 , 2) and the point that partitions them is point C.

\(\textit{internal division of a line segment using ratios} \\\\\\ A(-10,5)\qquad B(8,2)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:2} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{2}\implies \cfrac{A}{B} = \cfrac{1}{2}\implies 2A=1B\implies 2(-10,5)=1(8,2)\)

\((\stackrel{x}{-20}~~,~~ \stackrel{y}{10})=(\stackrel{x}{8}~~,~~ \stackrel{y}{2}) \implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-20 +8}}{1+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{10 +2}}{1+2} \right)} \\\\\\ C=\left( \cfrac{ -12 }{ 3 }~~,~~\cfrac{ 12}{ 3 } \right)\implies \boxed{C=(-4~~,~~4)}\)

In the given arithmetic expression the value of x will be 3⁻⁸.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given an Expression,

3² * x *3⁷ = 3

Simplifying the given arithmetic expression

3² * x *3⁷ = 3

In multiple, if the base is the same power will add up

x * 3²⁺⁷ = 3

x * 3⁹ = 3

Divided by 3⁹ into both sides

x = 3/3⁹

x = 1/3⁸

x = 3⁻⁸

Therefore, for the given arithmetic expression the value of x will be 3⁻⁸.

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Answer 6

Step-by-step explanation:

= -6 - (-10 + (-2))

= -6 - (-12).

= -6 + 12

= 6

Answer:

FIRST NUMBER IS 20

AND

SECOND NUMBER IS 45

Step-by-step explanation:

LET THE RATIO BE X

FIRST NUMBER = 4X

SECOND NUMBER = 9X

A/Q,

=}4X - 5 / 9X - 5 = 3 / 8

CRISS CROSS,

=}8 ( 4X - 5 ) = 9X - 5 ( 3 )

=}32X - 40 = 27X - 15

=}32X - 27X = - 15 + 40

=}5X = 25

=}X = 25 / 5

=}X = 5

THEREFORE,

FIRST NUMBER

=} 4X

=} 5 × 4

=} 20

SECOND NUMBER

=} 9X

=} 5 × 9

=} 45

Answer:

130

Step-by-step explanation:

26/2 = 13

10 x 13 = 130

The distribution of the number of books read and identify the student who most likely read 9 or fewer books in the greatest number of months.

Based on the given information, it is not possible to determine which student most likely read 9 or fewer books in the greatest number of months without having the actual boxplots. Please provide the boxplots to give an accurate answer.


1. Boxplots are essential to analyze the data in this scenario.
2. The lower quartile (Q1), median (Q2), and upper quartile (Q3) in the boxplots can be used to determine the distribution of the number of books read.
3. Comparing the boxplots for each student can help determine the student who most likely read 9 or fewer books in the most months.


In order to answer the question accurately, please provide the boxplots for the four students. This will help in analyzing the distribution of the number of books read and identify the student who most likely read 9 or fewer books in the greatest number of months.

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The associated radius of convergence R is 0.

Answer: \(ln(4) + (1/4)(x-4) - (1/32)(x-4)^2 + (1/64)(x-4)^3 - (3/256)(x-4)^4 and R = 0.\)

We need to find the Taylor series for f(x) centered at the given value of a.

To find the Taylor series for ln(x) function we use the formula of the Taylor series which is:

\(f(x) = f(a) + f'(a)(x-a)/1! + f''(a)(x-a)^2/2! + ....+ f^n(a)(x-a)^n/n!......eqn.1\)

Differentiating the given function ln(x), we get;

\(f'(x) = 1/x ......eqn.2\\f''(x) = -1/x^2 .......eqn.3\\f'''(x) = 2!/x^3 .....eqn.4\\f^4(x) = -3! /x^4 ....eqn.5\)

Therefore, substituting the values of a, f(a), f'(a), f''(a), f'''(a) and f^4(a) in eqn.1, we get;

\(ln(x) = ln(4) + (1/4)(x-4) - (1/32)(x-4)^2 + (1/64)(x-4)^3 - (3/256)(x-4)^4 ......eqn.6\)

The associated radius of convergence R is given by the formula;

\(R = lim |a_n / a_n+1 |\)

where a_n is the nth term of the series.

In this case, the nth term is (x-4)^n/n!

Therefore, \(a_n+1 = (x-4)^(n+1) / (n+1)! and a_n = (x-4)^n/n!.\)

Substituting these values in the formula, we get;

\(R = lim|(x-4)^n/n! x (n+1)!/(x-4)^(n+1) |\)

on simplifying, we get;

\(R = lim |(x-4)/(n+1)|\)

as n approaches, infinity, the denominator in the above equation becomes very large, and thus R approaches 0.

Hence the associated radius of convergence R is 0. Answer: \(ln(4) + (1/4)(x-4) - (1/32)(x-4)^2 + (1/64)(x-4)^3 - (3/256)(x-4)^4\) and R = 0.

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Answer:

\(\displaystyle \tan A=\frac{4}{3}\)

Step-by-step explanation:

Funciones Trigonométricas

La identidad principal en trigonometría es:

\(sen^2A+cos^2A=1\)

Si sabemos que A es un ángulo agudo (que mide menos de 90°), su seno y coseno son positivos.

Dado que Sen A = 4/5, calculamos el coseno:

\(cos^2A=1-sen^2A\)

Sustituyendo:

\(\displaystyle cos^2A=1-\left(\frac{4}{5}\right)^2\)

\(\displaystyle cos^2A=1-\frac{16}{25}\)

\(\displaystyle cos^2A=\frac{25-16}{25}\)

\(\displaystyle cos^2A=\frac{9}{25}\)

Tomando raíz cuadrada:

\(\displaystyle cos\ A=\sqrt{\frac{9}{25}}=\frac{3}{5}\)

La tangente se define como:

\(\displaystyle \tan A=\frac{sen\ A}{cos\ A}\)

Substituyendo:

\(\displaystyle \tan A=\frac{\frac{4}{5}}{\frac{3}{5}}\)

\(\displaystyle \tan A=\frac{4}{3}\)

Answer:

i don get it

Step-by-step explanation:

i stil don get it

Answer: 92

Step-by-step explanation:

Observe that the probability is symmetric around \(45^{\circ}\).

If \(0^{\circ} < x < 45^{\circ}\), then \(\cos^2 x > \cos x > \sin x\). By the triangle inequality, it follows that \(\cos^2 x > \sin^2 x+\sin x \cos x\).

We can now rearrange as follows:

\(\cos^2 x > \sin^2 x+\sin x \cos x\\\\\cos^2 x -\sin^2 x > \sin x \cos x\\\\\cos 2x > \frac{1}{2}\sin 2x\)

Since \(\cos 2x\) and \(\sin 2x\) are both positive for the chosen interval,

\(2 > \tan x \implies x < \frac{1}{2}\arctan 2\).

Therefore, the probability is \(\frac{\frac{1}{2} \arctan 2}{45}=\frac{\arctan 2}{90}\).

This means, \(m=2, n=90 \implies m+n=92\).

The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).

In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.

A. √2:√2

The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.

B. 15

This is a specific value and not a ratio. Therefore, option B is not applicable.

C. √√√√5

The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.

D. 12√3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.

E. √3:3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.

F. √2:√5

This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.

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Answer:

2 and 1/5 is greater than 2.15

Step-by-step explanation:

This is true because 1/5 is equal to .20 which is greater than .15

Answer:

B, >

Step-by-step explanation:

2 1/5

2*5= 10+1= 11

11/5 vs 2.15

2.2 vs 2.15

2.2 > 2.15

The properties of the least squares line are that the intercept represents the estimated base appraised value for any house in East Meadow, and the slope represents the estimated increase in appraised value for each additional room in the house.

The properties of the least squares line, ? = 74.80 + 19.72x, are as follows:
1. The intercept, ?0, is 74.80. This represents the estimated base appraised value for any house in East Meadow, regardless of the number of rooms. However, there is no practical interpretation for this value, since a house with 0 rooms is nonsensical.

2. The slope, ?1, is 19.72. This represents the estimated increase in appraised value for each additional room in the house. For each additional room in the house, we estimate the appraised value to increase $19,720.

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Answer:

Solution

e^{3}\approx 20.085536923e

3

≈20.085536923

\( \Large{\boxed{\sf n = 8}} \)

\( \\ \)

The perimeter of a rectangle is given by the following formula:

\( \Large{\sf P = 2L + 2W } \)

Where:

\( \\ \)

\( \Large{\boxed{\sf Given \text{:} } \begin{cases} \sf L &=\sf 3n - 9 \\ \sf W &=\sf n + 5 \\ \end{cases} } \)

\( \\ \)

Substitute these values into our formula:

\( \sf P = 2(3n - 9) + 2(n + 5) \)

\( \\ \)

Expand the expression of the perimeter using the following distributive property.

\(\green{\begin{gathered}\begin{gathered} \\ \boxed { \begin{array}{c c} \\ \blue{ \sf\boxed{ \sf Distributive \: property \text{ : } }} \\ \\ \sf\star \: \red{ \large{ a (b + c) = ab + ac }} \end{array}}\\\end{gathered} \end{gathered}}\)

\( \\ \)

We get:

\( \sf P = 2(3n) + 2(-9) + 2n + 2(5) \\ \\ \sf P = 6n - 18 + 2n + 10 \\ \\ \boxed{\sf P = 8n - 8 } \)

\( \\ \)

Since the perimeter is equal to 56, the value of n satisfies the following equality:

\( \sf 8n - 8 = 56 \)

\( \\ \)

To solve this equation, let's add 8 to both sides:

\( \sf 8n - 8 + 8 = 56 + 8 \\ \\ \sf 8n = 64 \)

\( \\ \)

Now, divide both sides of the equation by 8:

\( \sf \dfrac{8n}{8} = \dfrac{64}{8} \\ \\ \\ \boxed{\boxed{\sf n = 8}} \)

\( \\ \\ \)

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When Triangle ABC is dilated with a center of dilation at (0,0) and a scale factor of 2, the coordinates of point A' can be found by multiplying the original coordinates of point A by the scale factor.

In this case, if the coordinates of point A are (x, y), then the coordinates of A' would be (2x, 2y).

Dilation involves scaling an object by a factor while preserving its shape. When the center of dilation is at (0,0), the dilation occurs relative to the origin. By applying a scale factor of 2, the x-coordinate of point A is multiplied by 2, and the y-coordinate of point A is also multiplied by 2. This scaling operation results in the coordinates of A' being (2x, 2y).

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The equation of curve that passes through the point (0,4) is found as y = x²y/2 + 4.

To determine an equation of the curve that passes through the point (0,4) and whose slope at (x,y) is xy, use integration.

Find out the long answer below:Let's integrate both sides to obtain the equation of the curve that passes through the point (0,4) and whose slope at (x,y) is xy.

∫dy = ∫xy dx

On integrating both sides, we get:y = x²y/2 + C1

where C1 is a constant of integration.

To determine C1, we may use the initial condition that the point (0,4) lies on the curve.

y = x²y/2 + C14

= 0 + C1

=> C1 = 4

Therefore, the equation of the curve that passes through the point (0,4) and whose slope at (x,y) is xy is:

y = x²y/2 + 4.

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Step-by-step explanation:

1. secx / cscx

2. sinx /cosx

Answer:

  x = 5

Step-by-step explanation:

You want the equation of a line with undefined slope and an x-intercept of 5.

Slope is the ratio of "rise" to "run" for a line. If the line is vertical, the "run" is zero, making the denominator of the ratio is zero. Division by zero gives an "undefined" result.

If the slope of a line is "undefined", it is a vertical line. It has the same x-value everywhere. Its equation is ...

  x = c . . . . . for some constant

Here, the vertical line crosses the x-axis at x=5. That is the equation of the line:

  x = 5

Answer:

Step-by-step explanation:

(a) The ratio of adjacent terms is ...

  x^4/x^2 = x^2

The common ratio is x^2.

__

(b) For a geometric sequence with ratio r and first term "a", the sum to infinity is ...

  S = a/(1 -r)

Here, we have ...

  1/3 = x^2/(1 -x^2) . . . . fill in given values for a, r, S

  1 -x^2 = 3x^2 . . . . . cross multiply

  1/4 = x^2

  x = √(1/4)

  x = ±1/2

Answer:

Step-by-step explanation:

(12x + 19) + (22x - 9) = 180

34x + 10 = 180

34x = 170

x = 5

The remainder when a positive integer x leaves a remainder of 2 when divided by 8 and x+9 is divided by 8 is 5.

If the positive integer x leaves a remainder of 2 when divided by 8, then we can say that x = 8k + 2, where k is an integer.

Now, if we divide x+9 by 8, we get:

(x+9)/8 = (8k + 2 + 9)/8
         = (8k + 11)/8
         = k + (11/8)

So, the remainder when x+9 is divided by 8 is 11/8. However, since we are dealing with integers, the remainder can only be a whole number between 0 and 7.

Therefore, we need to subtract the quotient (k) from the expression above and multiply the resulting decimal by 8 to get the remainder:

Remainder = (11/8 - k) x 8

Since k is an integer, the only possible values for (11/8 - k) are -3/8, 5/8, 13/8, etc. The closest whole number to 5/8 is 1, so we can say that:

Remainder = (11/8 - k) x 8 ≈ (5/8) x 8 = 5

Therefore, the remainder when x+9 is divided by 8 is 5.

If a positive integer x leaves a remainder of 2 when divided by 8, then x can be expressed as 8k + 2, where k is an integer. To find the remainder when x+9 is divided by 8, we divide x+9 by 8 and subtract the quotient from the decimal part. The resulting decimal multiplied by 8 gives us the remainder. In this case, the decimal is 11/8, which is closest to 1. Thus, we subtract the quotient k from 11/8 and multiply the result by 8 to get the remainder of 5.

The remainder when a positive integer x leaves a remainder of 2 when divided by 8 and x+9 is divided by 8 is 5.

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The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

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The value of a perfect square is either a positive number or zero. They cannot be neutral.

Perfect squares are generated when you square an integer. For instance, the number 81 is a perfect square since it can be derived by squaring 9: 99=81. 144 is a perfect square since 12 is squared to produce it. 169 is a perfect square since 13 may be squared to obtain it. Mathematical language Informally: When an integer (a "whole") number, whether positive, negative, or zero, is multiplied by itself, the outcome is referred to as a square number, a perfect square, or simply "a square." Therefore, all square numbers are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on.

given

The value of a perfect square is either a positive number or zero. They cannot be neutral.

Square differences can be positive, negative, or zero depending on the order in which the numbers are obtained.

One squared term will be added to the difference of squares, and another squared term will be subtracted.

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Convenience sampling and snowball sampling are non-probability sampling methods, while simple random sampling is a probability-based method used in research.

Convenience sampling involves selecting participants based on their availability or proximity, leading to a biased sample that may not be representative of the population.

Snowball sampling relies on participants referring others with similar characteristics, potentially leading to a chain of referrals.

College students and psychology students represent specific subgroups within the larger student population and may be targeted for research purposes.

In contrast, simple random sampling involves randomly selecting participants from the entire population, ensuring that each member has an equal chance of being included.

This method provides a more unbiased representation of the population, making it useful for generalization and statistical analysis.

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The Correct answer will be B. f(x) is shifted π/4 units to the left.

The general equation for a sine and cosine curve is y = A sin ⁡ ( x − h ) + k and y = A cos ⁡ ( x − h ) + k , respectively. Similar to other function transformations, is the horizontal shift (also called a phase shift), and is the vertical shift.Changes to the amplitude, period, and midline are called transformations of the basic sine and cosine graphs. Changing the midline shifts the graph vertically. The graph is stretched or compressed vertically depending on the amplitude. The graph is stretched or compressed horizontally depending on the era.

To determine the transformation;

Dim x=t+π/4

so, f(t+π/4)=cos(t+π/4)=g(t)

t+π/4→t:units to the left.

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The probability that a randomly selected utility bill is,

a) P(X < 68) ≈ 0.016 or 1.6%

b) P(81 < X < 90) ≈ 0.1476 or 14.76%

c) P(X > 120) ≈ 0.0912 or 9.12%

To find the probability in each case, we can use the standard normal distribution by converting the given values into z-scores.

a) To find the probability that a randomly selected utility bill is less than $68, we need to find P(X < 68). First, we calculate the z-score using the formula z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation.

z = (68 - 100) / 15 = -2.1333

Using a standard normal distribution table or a calculator, we can find the corresponding cumulative probability for z = -2.1333, which is approximately 0.016. Therefore, the probability P(X < 68) is approximately 0.016 or 1.6%.

b) To find the probability that a randomly selected utility bill is between $81 and $90, we need to find P(81 < X < 90). We calculate the z-scores for both values:

z1 = (81 - 100) / 15 = -1.2667

z2 = (90 - 100) / 15 = -0.6667

Using the standard normal distribution table or a calculator, we find the cumulative probability for z1 and z2: P(z1) ≈ 0.1038 and P(z2) ≈ 0.2514. Then, we subtract P(z1) from P(z2) to find the probability between the two values:

P(81 < X < 90) ≈ P(z1 < Z < z2) ≈ P(z2) - P(z1) ≈ 0.2514 - 0.1038 ≈ 0.1476 or 14.76%.

c) To find the probability that a randomly selected utility bill is more than $120, we need to find P(X > 120). We calculate the z-score:

z = (120 - 100) / 15 = 1.3333

Using the standard normal distribution table or a calculator, we find the cumulative probability for z = 1.3333, which is approximately 0.9088. Since we want the probability of X to be greater than 120, we subtract this value from 1:

P(X > 120) ≈ 1 - P(z) ≈ 1 - 0.9088 ≈ 0.0912 or 9.12%.

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Step-by-step explanation:

first convert all fractions

5/2+11/3+7/6

then make sure that they all have common denominators

15/6+22/6+7/6

now add

37+7/6

44/6

Answer: I got 7 1/3 not sure it’s correct or not

Step-by-step explanation: