Find, if possible, A + B, A − B, 2A, 2A − B, and B + 1/2 A. (If not possible, enter IMPOSSIBLE in any single cell.)
A =[ 1 2 -3] B = [-4 2 6]
(a) A + B
(b) A − B
(c) 2A
(d) 2A − B
(e) B + 1/2A

The study of hypnosis and its relationship to hysteria was the starting point for the development of psychoanalysis by Sigmund Freud.

The study of hypnosis and hysteria in the late 19th century by Sigmund Freud and his contemporaries led to the development of psychoanalysis, a form of psychotherapy that emphasizes the role of unconscious thoughts and feelings in shaping behavior. Through his work with patients suffering from hysteria, Freud became interested in the idea that psychological conflicts could be traced back to early childhood experiences, and that these conflicts could be resolved through the exploration of unconscious thoughts and feelings. This eventually led to the development of psychoanalysis as a theory and practice for the treatment of psychological disorders.

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The constants that we have to multiply to eliminate one variable from the system are 12 and 5.

The equations are

5x+13y = 232

12x + 7y = 218

Here we can cancel both x term and y terms, lets choose x terms  and apply the elimination method

The coefficient of x in first equation is 5 and 12 in second equation

We have to make it same

Prime factorization

5 = 5×1

12 = 2×2×3

LCM (5, 12 ) = 2×2×3×5 = 60

Multiply the first equation by 12 and second equation by 5

60x + 156y = 2784

60x + 35y = 1090

Subtract equation 2 from equation 1

121y = 1694

Here we have eliminated x term

Hence, the constants that we have to multiply to eliminate one variable from the system are 12 and 5.

The complete question is:

Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? 5x + 13y = 232

12x + 7y = 218

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\( = 49\)

Step-by-step explanation:

\( \sqrt{49} \times \sqrt{49} \)

\( = 49\)

hope it helps

Answer:

\(\sf\longmapsto \: 49\)

Step-by-step explanation:

\(\sf\longmapsto \sqrt{49} \times \sqrt{49} \)

\(\sf\longmapsto \: {49} \)

The solution to the equation is x = -72.

Given the equation:

Cubed root (x + 8) = -4

To find the value of x, we can start by cubing both sides of the equation.

This will eliminate the cubed root on the left side: (x + 8) = (-4)³

Now, we can calculate (-4)³:

(-4)³ = -64

So our equation becomes:

(x + 8) = -64

Next, subtract 8 from both sides to isolate x:

x = -64 - 8

Finally, compute the value of x: x = -72

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The vertex of the graph of f(x) = |x - 5| - 6 is (5, -6). It lies in the fourth quadrant.

Therefore the answer is (5, -6).

The graph f(x) = |x - 5| - 6 is symmetrical about the axis  x = 5.

A vertex of a graph is a node of a graph. For a graph of the form f(x) = a|x - h| + k, the vertex is (h, k). So in this case where f(x) = |x - 5| - 6, a = 1, h = 5 and k = -6. Therefore the vertex of the given graph f(x) is

(5, -6)

--The question is incomplete, answering to the question --

"What is the vertex of the graph of f(x) = |x - 5| - 6?"

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Answer:

7

Step-by-step explanation:

substitute the numbers into the equation

2³-(-3)³/ 5

simplify and solve the cubed numbers

8 - (-27) / 5

35/5 = 7

The probability of selecting 3 pencils from a box  of 5 red , 3 blue, 4 green pencils is 60/1320.

Given that box contains 5 red pencils, 3 blue pencils abd 4 green pencils.

We have to calculate the probability that 3 red pencils are selected from box. Probability is the likeliness of happening an event among all the events possible.It lies between 0 and 1. The formula of calculating probability is as under:

Probability = number of items/ total items.

Number of pencils in box=12

Number of red pencils=5

Number of blue pencils=3

Number of green pencils=4

Probability of randomly selecting 3 red pencils will be 5*4*3/12*11*10 if pencil is not replaced after drawn of pencil.

=60/1320

=1/22

Hence the probability that 3 red pencils are selected is 1/22.

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Answer: 4/1

Step-by-step explanation: You go on the y-axis up to 6 then you count up until you get to 10 then you go over 1 so the equation would be 4/1

Answer:

769

764 + 3 + 2 = 769

1. She can do   764 + 3 = 767   767 + 2 = 769

2. OR She can do   2 + 3 = 5   5 + 764 = 769

Coplanar lines are referred to as parallel lines because they may be extended indefinitely without ever intersecting. || is the sign meaning "parallel to." If two lines are drawn, they don't have to be parallel, and a third line runs across them as seen in the diagram below. We may obtain eight distinct angles by drawing two parallel lines, and then drawing a transverse line through them.

Four pairs of matching angles will be created from all eight angles. One of the pairings is represented by angles F and B in the preceding diagram. If the two lines are parallel, corresponding angles are congruent.

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It's important to note that this estimate assumes that the marked and unmarked geckos have the same probability of being captured, and that there are no births, deaths, or migration during the study period. The mark-and-recapture method is a common technique used in ecology to estimate population size.

In this scenario, the group of university scientists marked and released 46 geckos, and then later counted a total of 520 geckos, of which 26 were marked. To estimate the population size, we can use the Lincoln-Petersen Index formula, which is N = (M × C) / R, where N is the population size, M is the initial number of marked individuals, C is the total number of individuals counted in the second sample, and R is the number of recaptured marked individuals. Using the given values, we have M = 46, C = 520, and R = 26. Plugging these values into the formula, we get N = (46 × 520) / 26 = 920. Therefore, the best estimate for the gecko population to the nearest whole number is 920. These assumptions may not always be true, so it's important to interpret the estimate with caution and consider other factors that may affect the population size.

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9514 1404 393

Answer:

  $3,595.50

Step-by-step explanation:

FICA is the sum of Social Security and Medicare taxes.

  7.65% × $47,000 = $3,595.50

On earnings of $47,000, you would pay $3,595.50 to FICA.

Consider that both trees and their shadows for two right triangles.

These triangles are similar, then, the proportion between similar sides must be equal.

The proportion between the tall of the trees is equal to the prportion to the length of their shadows. If x is the tall of the tree with the shadow os 75 ft, you have:

x/225 = 75/150

solve the previous equation for x:

x = (75/150)(225)

x = 112.5

Hence, the tall of the tree is 112.5 ft

Answer:

n = puppies born - 3

Step-by-step explanation:

Mike's dog had ? puppies, so you need to have the number of puppies born. Since he sold 3 of them, you need to subtract three from the number of puppies born. n is the number of puppies Mike has now, which equals the number of puppies born minus the number of puppies he gave away, which is 3.

Hope this helps!

Answer:

n=pupy born -3

Step-by-step explanation:

Answer:

domain = ( 3, 11, 121, 34, 23)

range = ( 21, 34, 1, 23)

That’s the answers i hope this helped :)

Answer:

1st bacteria : 2nd bacteria

t^2-3t+4  ( 3rd option)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

If you plug in 0 for w, the number of weeks, you'll see that s = 80.  Meaning, at week 0 he ha 80

Answer:

86.5 inches

Step-by-step explanation:

6228 / 72 = 86.5

he required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

where \(c_1,c_2,c_3\) and \(c_4\) are constants.

Let’s assume the general solution of the given differential equation is,

y=e^{mx}

By taking the derivative of this equation, we get

\(\frac{dy}{dx} = me^{mx}\\\frac{d^2y}{dx^2} = m^2e^{mx}\\\frac{d^3y}{dx^3} = m^3e^{mx}\\\frac{d^4y}{dx^4} = m^4e^{mx}\\\)

Now substitute these values in the given differential equation.

\(\frac{d^4y}{dx^4}-2\frac{d^2y}{dx^2}-8y\\=0m^4e^{mx}-2m^2e^{mx}-8e^{mx}\\=0e^{mx}(m^4-2m^2-8)=0\)

Therefore, \(m^4-2m^2-8=0\)

\((m^2-4)(m^2+2)=0\)

Therefore, the roots are, \(m = ±\sqrt{2} and m=±2\)

By applying the formula for the general solution of a differential equation, we get

General solution is, \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

Hence, the required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

where \(c_1,c_2,c_3\) and \(c_4\) are constants.

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Answer:

Step-by-step explanation:

Option A: ∠ BDC ≅ ∠ADB is the missing statement in the proof.

This statement is needed to complete the proof by showing that triangles ∆ABC and ∆ADB are similar by the AA criterion.

The given parabolic equation is y = 4x - x² and the point is (1, 3). We are to determine the slope of the tangent line at (1, 3) and then obtain an equation of the tangent line.  we must first calculate the derivative of the given equation.

We can do this by using the power rule of differentiation. The derivative of x² is 2x. So the derivative of y = 4x - x² is dy/dx = 4 - 2x.Since we want to find the slope of the tangent line at (1, 3), we need to substitute x = 1 into the equation we just obtained. dy/dx = 4 - 2x = 4 - 2(1) = 2. Therefore, the slope of the tangent line at (1, 3) is 2.We can now write the equation of the tangent line. We know the slope of the tangent line, m = 2, and we know the point (1, 3).

We can use the point-slope form of the equation of a line to obtain the equation of the tangent line. The point-slope form of the equation of a line is given as: y - y₁ = m(x - x₁)where m is the slope, (x₁, y₁) is a point on the line.Substituting in the values we have, we get:y - 3 = 2(x - 1)We can expand this equation to obtain the slope-intercept form of the equation of the tangent line:y = 2x + 1Therefore, the equation of the tangent line to the parabola y = 4x - x² at the point (1, 3) is y = 2x + 1.

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Answer: -19.2

Step-by-step explanation:

The manufacturer should set the moon pouring setting to 1.800 ml to ensure profits are kept at the acceptable level.

To ensure that profits are kept at the acceptable level, the manufacturer should set the moon pouring setting to 1.800 ml. This setting takes into account the fact that more than 2% solution loss due to over-pouring is not desirable and pouring more than 2.100 ml will result in an unacceptable loss of profit.

By setting the moon pouring at 1.800 ml, the manufacturer aims to strike a balance between minimizing solution loss and maximizing profit. The standard deviation of 0.050 ml provides an indication of the variability in the pouring process, and setting the pouring level at 1.800 ml helps to control and minimize potential losses due to over-pouring.

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A positively skewed distribution is due to an extremely large number.

A positively skewed distribution is a type of distribution in which the majority of the data values are clustered towards the left side of the distribution, with a tail extending to the right. This means that there are relatively more smaller values in the dataset than larger values. In a positively skewed distribution, the mean of the dataset is typically larger than the median, and the mode may not be a good representation of the central tendency of the data. This is because the presence of a long tail on the right-hand side of the distribution pulls the mean towards the higher values, while the median remains closer to the center of the dataset. Some common examples of positively skewed distributions include income distributions, where there are a few extremely high earners that skew the data towards the right, and test scores, where there may be a few students who perform extremely well and pull the average higher than the median.

Here,

A positively skewed distribution occurs when the tail of the distribution extends to the right, and the majority of the data is clustered towards the left side of the graph. This means that there are relatively more smaller values in the dataset than larger values. One common cause of positive skewness is the presence of extremely large values, also called outliers, in the dataset. These large values pull the mean of the dataset towards the right, resulting in the tail of the distribution stretching in that direction.

Therefore, out of the options provided, the correct answer is "an extremely large number."

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The ratio of green apples sold to red apple old is:

7:5

If the store sold a total of 48 apples and 20 of them were red, then the number of green apples sold is:

To find the ratio of green apples to red apples, we divide the number of green apples by the number of red apples and express the result as a fraction:

So the ratio of green apples to red apples is 7:5, or written as a fraction, 7/5. This means for every 5 red apples sold, the store sold 7 green apples.

The ratio of green apples to red apples is a way of comparing the number of green apples to the number of red apples sold in a specific time period.

It provides a way to understand the proportion of green apples relative to red apples, and can be useful for the store to track the popularity of different types of apples.

Complete Question:

"A produce store offer red and green apple. In one morning they sold 48 apple total. If 20 of the apple they sold were red, what is the ratio of green apple sold to red apple sold?"

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A 100% non-rebreather mask has a pulse oximetry reading of 88%. There is a burn centre 45 miles distant. the best course of action to do after transferring a serious burn side.


A 50-year-old man who was injured in a fire is being treated by you. He sustained 25% 2nd–3rd degree burns to his face, neck, and anterior chest. He has burned nasal hairs, and your initial survey reveals stridor.
Any damage that exceeds 10% in size should be treated in a similar manner, although significant burns are classified as those that encompass 25% or more of the total body surface area. Rapid evaluation is essential. Any blaze can be managed using the general strategy for a significant burn. The most crucial things are to take a thorough history.

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Answer:

B

Step-by-step explanation:

Answer:

im pretty sure that it's c

Step-by-step explanation:

3000 - 500 is 2500, and It's c because it's asking how much greater

Answer:

104m²

Step-by-step explanation:

area trapezium: ((Major base(bc)+ Minor base(ad))*height(ab))/2

area trapezium: [(16+10)*8]/2

(26*8)/2

208/2

104m²