it has to be 1-9, solve for and the box

Answer:

N(-21,-20)

Step-by-step explanation:

We can apply midpoint formula to solve for endpoint (N):

\(\displaystyle{\text{Midpoint}= \left(\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2}\right)}\)

Let \(\displaystyle{x_1 = 1}\), \(\displaystyle{y_1 = 12}\) and Midpoint = (-10,-4). Therefore:

\(\displaystyle{\left(-10,-4\right)= \left(\dfrac{1+x_2}{2}, \dfrac{12+y_2}{2}\right)}\)

Solve x with -10 and y with -4:

\(\displaystyle{\text{N}\left(x_2,y_2\right) = \left(\dfrac{1+x_2}{2}=-10, \dfrac{12+y_2}{2}=-4\right)}\\\\\displaystyle{\text{N}\left(x_2,y_2\right) = \left(1+x_2=-20, 12+y_2=-8\right)}\\\\\displaystyle{\text{N}\left(x_2,y_2\right) = \left(x_2=-20-1, y_2=-8-12\right)}\\\\\displaystyle{\text{N}\left(x_2,y_2\right) = \left(x_2=-21, y_2=-20\right)}\\\\\displaystyle{\text{N}\left(x_2,y_2\right)=\left(-21,-20\right)}\)

Therefore, the coordinate of N is (-21,-20)

The initial mass of the sample after two days = 8483.45 kg

Given that,

It is known as exponential decay when a population or group of something is deteriorating and the quantity of decline is proportional to the size of the population. In an exponential decay, the overall value falls but the percentage that departs stays the same throughout time.

The exponential decay formula aids in determining the exponential drop, which is a rapid reduction over time. To calculate population decay, half-life, radioactivity decay, and other phenomena, one uses the exponential decay formula.

The standard  formula for this type of behavior which is written below:

A = \(Pe^{-rt}\)  

Where

A refers the amount left after time t

P refers the initial amount at t = 0

r refers the rate

Here we have given that the mass of a radioactive substance follows a continuous exponential decay model, with a decay rate parameter of per day.

A sample of this radioactive substance was taken after two days.

And we need to find if the sample has a mass of today, then the initial mass of the sample.

Now, we have to substituting the values,

Let us assume,

P = 9575 kg

r = 0.12

t = 1

Then we get the equation as,

A = (9575 kg) \(e^{-0.12*1}\)

When we simplify this one, then we get,

A = (9575 kg) \(e^{-0.12}\)

A = (9575 kg) 0.886

A = 8483.45 kg

Therefore,

The initial mass of the sample after two days = 8483.45 kg

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Answer:

Step-by-step explanation:

Y-axis is the line of symmetry as it divides the figure into two equal parts

Answer:

5/1

Step-by-step explanation:

Answer:

5/1

Step-by-step explanation:

Answer:

compensatory approach

The approach that the interviewer is taking with this candidate is known as a compensatory approach. This strategy uses techniques or modifications to our behavior or environment that are used to compensate for a deficit, weakness, injury, or perceived inadequacy in a specific area or skill. Which in this scenario is what the interviewer has done by using the candidates high score on the interview in order to compensate or overshadow the low personality score.

Step-by-step explanation:

Hope this helps:)

Answer:

3.5

Step-by-step explanation:

Here is some helpful words for you learning adventure

event: a word referring to one or more possible outcomes in an experiment

expected value: the “average” (or expected) result of an experiment after a large number of trials

experiment: a selection involving chance, with two or more possible outcomes

fair game: a game in which the expected value of the outcome is zero

independent events: the sequence of events in which the occurrence of one event does not affect the probability of following events

law of large numbers: the law stating that if an experiment is performed a large number of times, the average of the results will come closer and closer to the expected value as the number of trials increases

probability: a number of desired outcomes divided by the size of the sample space

sample space: a set that includes all possible outcomes of an experiment

The statement "It is rigid because all side lengths and angles are congruent" is true.

In mathematics, a transformation is considered rigid if it preserves distances and angles. For example, a translation, rotation, or reflection is a rigid transformation because it preserves distances and angles. If a transformation preserves side lengths and angles, then it is considered rigid, regardless of whether the side lengths and angles are congruent or not.

Answer: A. it is rigid because all side lengths and angles are congruent.

Step-by-step explanation: RIGHT ON EDGE 2023

The slope intercept form of the equation for each line is y = -1/3 -x.

When any equation is represented in the y = mx +c form, it is called the slope intercept form of the equation.

Here, m is slope and c is constant.

To find the slope intercept form of the equation,

(4, -2) and (-5, 3)

The slope intercept form of the equation is y = -(3/4)x + 3.

Therefore, the slope of the line is;

m = Δy/Δx

m = 5/-9

When we simplify it, then we get the;

3 - y= -5/9(-5-x)

y = -25/9-3 -x

y = -3/9 -x

y = -1/3 -x

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Answer: D-60

Step-by-step explanation:

Let x be the number of weeks.

For Account A,

Initial amount = $80

Amount added per week = $3.50 per week

Money after x weeks = 80+3.50x    ....(i)

For Account B,

Initial amount = $95

Amount added per week = $3.25 per week

Money after x weeks = 95+3.25x    ....(i)

When both account have the same amount , then

\(80+3.50x=95+3.25x \\\\\Rightarrow\ 3.50-3.25x=95-80\\\\\Rightarrow\ 0.25x=15\\\\\Rightarrow\ x=\dfrac{15}{0.25}\\\\\Rightarrow\ x=60\)

hence, it will take 60 weeks.

The correct option is D-60.

As shown, to obtain the blue quilt block pattern, we have to rotate the parallelogram.

A parallelogram is a quadrilateral consisting of pairs of parallel sides.

To obtain the blue quilt block pattern, we have to rotate the parallelogram. This rotation allows the parallelogram to take on a new orientation, and when it is positioned correctly, it creates the blue quilt block pattern. The process of rotating the parallelogram may seem simple, but it is a critical step in achieving the desired quilt design. It requires attention to detail and precision to ensure that the parallelogram is correctly rotated, and the resulting blue quilt block pattern is aligned correctly.

Moreover, the correct rotation of the parallelogram can significantly impact the overall appearance of the quilt, and even a slight misalignment can make a noticeable difference. Therefore, it is important to carefully follow the instructions to rotate the parallelogram to achieve the intended blue quilt block pattern.

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The Decision rule for rejecting the null hypothesis, Z > 1.28

What is Null Hypothesis?

The null hypothesis is a common statistical theory that asserts that no statistical link or significance exists between two sets of observed data and measured phenomena based on a single observed variable.

Given,

Sample Voters - 800

Residents Favored Construction - 64%

Percentage of residents who favour construction is more than 60%.

This is right tailed test, for α = 0.1

Critical Value Z is 1.28

Hence reject h0 if Z >1.28

Z > 1.28 is the decision rule for rejecting the null hypothesis at the 0.10 level

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The price that that club members pay for the computer is $465.92.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred.

Since the selling price was first at 728, but then the store advertised a 20% markdown on the system and members of the store's loyalty club get an additional 20% off their computer purchases.

The cost will be calculated thus:

582.40 - (20% × $582.40)

= $582.40 - $116.48

= $465.92

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Answer:

I think its

|x| = 5

Step-by-step explanation:

Answer:

|x|<5

Step-by-step explanation:

Answer:

7

Step-by-step explanation: -13(-1) + 36 + 42(-1)

Step 1: -13(-1)= 13

Step 2: 13 + 36= 49

Step 3: 49 + 42(-1)= 49 + (-42)= 7

Solution: 7

Answer:

Answer B:

Step-by-step explanation:

just took the test)))):

the answer: B

ok done. Thank to me :>

Answer:

t=5s-3

Step-by-step explanation:

Flip the equation:

5s+t=-3

then add 5s to both sides:

-5s+t+5s=-3+5s

then solve:

5s-3=t

Answer:

The answer is 147

Step-by-step explanation:

12x+3 x=12

12(12)+3

144+3

147

Answer:

C. Geometric, common ratio = 3

Step-by-step explanation:

Got it right

Answer:

C

Step-by-step explanation:

Answer:

base =  5   ft.

             4

Step-by-step explanation:

area of a triangle = 1/2 * base * height

where area = 3/4 ft²

        height = 6/5 ft.

plugin values into the formula:

3 = 1 x base  x 6  

4      2                  5

base = 3 x 2 x 5

             4 x 6

base = 30 / 6

            24  / 6

base = 5

            4

We need to find the base of the triangle in its simplest form

The base of the triangle in it's simplest form is 5/4 ft

Area of a triangle

\( = \frac{1}{2} \times base \: \times height\)

Area of the triangle = 3/4 square feet

Height of the triangle = 6/5 ft

let

b = base of the triangle

Area of a triangle

\( = \frac{1}{2} \times base \: \times height\)

3/4 = 1/2 × b × 6/5

3/4 = 6/10 × b

divide both sides by 6/10

b = 3/4 ÷ 6/10

= 3/4 × 10/6

= 30/24

b = 5/4 ft

base of the triangle = 5/4 ft

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Ann must take out at least 36 fruits from the basket.

Here, we are given that a large basket of fruit contains apples, oranges, and peaches.

Ann has to take out fruits from the basket such that she chooses at least 10 apples, or at least 12 oranges, or at least 14 peaches.

We need to find the least number of fruits that she must take out.

Now, let us assume that she take out 10 fruits. In order to satisfy the condition given, all the 10 fruits must be apples but this may not be always the case.

Thus, the number of fruits is definitely greater than 10.

Similarly, we can notice that the number of fruits is also greater than 12 and 14.

Now, let us say Ann takes out 12 + 14 + 10 = 36 fruits.

In this case, if either all are oranges, apples or peaches, the condition is satisfied. And similarly, you will notice that any combination of fruits will always satisfy the given condition.

Hence, Ann must take out at least 36 fruits from the basket.

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Answer:

34

Step-by-step explanation:

So you have to think of the worst case scenario, let's say Ann gets really unlucky and picks out 9 apple, 11 oranges, and 13 peaches, which equals 33 fruit in total, the next fruit she picks out will satisfy the condition, so therefore the answer is 34

There are 9 possible schedules to play basketball such that dave can play on monday or wednesday or both which is union of two set .

so this question seems like we have to take union of ways of palying on monday or wednesday

let n(m) be number of ways of playing on monday

n(w) be number of ways of playing on wednesday

we have to find n(m∪w)

n(mUw) = n(m) +n (w) - n(m∩ w)

so n(m) = \(4_C__2\) as one day is now fixed which is monday so we have 4 available days and 2 days to play.

n(m) = \(4_C__2\)  = 6

similary n(m) = n(w) = 6

now  n(m∩w) = \(3_C__1\) as now we have  2 fixed day and we have 3 day remaining and only one day to play.

n(m∩w) = \(3_C__1\) =3

now n(mUw) = n(m) +n (w) - n(m∩ w)

=> 6 + 6 -3

=> 12 - 3

so n(mUw) = 9

so we have 9 schedules to paly keeping condition given in the question.

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a)

It is the angle of depression.

Given,

Boy is standing at second floor of the house and sees the dog at the bottom surface.

So,

The angle through which the boy can see the dog at the ground floor will be angle of depression( that is seeing something below the eye level).

b)

Given,

Height = 3m

Angle of depression = 32°

Hence from the trigonometry,

tanФ = perpendicular/base

tan 32 = 3/base

0.6248 = 3/base

base = 4.801 m

Thus the dog is 4.801 m far from the house.

c)

Given,

Base = 7m

Angle of depression = 32°

Again,

tanФ = p/b

tan 32 = p /7

p= 4.3736 m

Thus the height of boy's house is 4.3736m

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it's 7 it's 7 it's 7 it's 7 it's 7 it's 7it's 7 it's 7 it's 7it's 7 it's 7 it's 7

Answer:

A. System:

y = 0.05x + 28

y = 0.07x + 25

B. Substitute:

0.07x + 25 = 0.05x + 28

C. At what number of miles will the cost the same?

150

Step-by-step explanation:

Let y = cost. Let x = number of miles.

Five Star CArz:

y = 0.05x + 28

GoCars:

y = 0.07x + 25

System of equations:

y = 0.05x + 28

y = 0.07x + 25

Substitute y of the first equation with 0.07x + 25

0.07x + 25 = 0.05x + 28

0.02x = 3

x = 150

The costs are the same at 150 miles.

The supremum of the set A does not exist (it is negative infinity), and the infimum of the set A is 1.

To define the supremum and infimum of the set A, we first need to determine the properties of the set.

The set A is defined as A = {(x-3)/(x-2) ∈ R : x < 0}.

To find the supremum (also known as the least upper bound) of A, we need to find the smallest value that is greater than or equal to all the elements of A. In other words, we are looking for the least upper bound of the set A.

Let's analyze the elements of A:

For x < 0, the expression (x-3)/(x-2) can take on different values depending on the value of x. We need to find the maximum value that this expression can reach for all x < 0.

As x approaches 0 from the left side, (x-3)/(x-2) approaches negative infinity. Therefore, there is no finite supremum for the set A.

Next, let's find the infimum (also known as the greatest lower bound) of A. We need to find the largest value that is less than or equal to all the elements of A. In other words, we are looking for the greatest lower bound of the set A.

Again, analyzing the elements of A:

As x approaches negative infinity, (x-3)/(x-2) approaches 1. Therefore, the infimum of the set A is 1.

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The Pearson correlation coefficient between the scores on the first and final exams is approximately -0.165. This indicates a weak negative correlation between the two variables.

What is correlation coefficient?

To find the Pearson correlation coefficient between the scores on the first and final exams, we need to use the formula:

r = ΣZxZy / √(ΣZx² * ΣZy²)

Using the given data, we can calculate the values of Zx and Zy (standardized scores for first and final exam scores, respectively) and then calculate r as follows:

ΣZxZy = (0.481)(-0.345) + (-0.102)(0.366) + (1.720)(-0.548) + (-0.904)(-0.548) + (0.189)(-0.041) + (-0.612)(-0.650) + (0.991)(0.670) + (1.280)(1.280) + (-1.767)(-0.410) = -0.023

ΣZx² = 0.723 + 0.011 + 2.958 + 0.818 + 0.036 + 0.374 + 0.982 + 1.638 + 3.127 = 10.667

ΣZy² = 0.119 + 0.135 + 0.302 + 0.302 + 0.002 + 0.423 + 0.449 + 1.638 + 3.125 = 6.695

r = -0.023 / √(10.667 * 6.695) = -0.165

Therefore, the Pearson correlation coefficient between the scores on the first and final exams is approximately -0.165. This indicates a weak negative correlation between the two variables.

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To determine the transformation that occurred between △ABC and △A′B′C′, we need to analyze the changes in their vertices' positions. A is at (3, 1), B is at (1, 8), and C is at (7, 2), while A′ is at (1, 3), B′ is at (8, 1), and C′ is at (2, 7). We can see that each vertex has shifted in a specific way, which suggests that the transformation is a translation. The vector connecting the corresponding points A and A′, B and B′, and C and C′ has the same magnitude and direction. Therefore, △ABC is translated 2 units left and 2 units up to form △A′B′C′.

Translation is a transformation that moves all points in a figure a specific distance and direction without changing its size, shape, or orientation. In two dimensions, we can describe it by a vector with a magnitude and direction, also known as a displacement vector. The vector connecting the corresponding vertices of the two triangles has the same magnitude and direction, which is (−2, 2) in this case. This means that all points in △ABC are shifted 2 units left and 2 units up to form △A′B′C′.

In conclusion, the transformation that happened to △ABC to form △A′B′C′ is a translation, specifically, a shift of 2 units left and 2 units up. We can conclude this by analyzing the changes in the position of each vertex and observing that the corresponding vectors have the same magnitude and direction. Translation is a fundamental transformation in geometry and is used in many applications, such as computer graphics, engineering, and robotics.

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Answer for this linear differential equation is y(x) = (lnx + 1/x) / 4 + 7/4 × x^-2.

Given first order linear differential equation xy ′+2y=x 2−x+1, x>0, with initial value y(1)= 21​. Let's use the integrating factor method to solve the given differential equation. First, we need to convert the given differential equation into the standard form of a first order linear differential equation:

y ′+P(x)y=Q(x)

Divide both sides of given differential equation by x, we get:

y′+2y/x = x − 1/x + 1/x

Now, we have P(x) = 2/x and Q(x) = (x − 1)/x + 1/xSo, the standard form of the given differential equation is:

y′+ 2y/x = (x − 1)/x + 1/x

Now, we need to find the integrating factor (I.F) = e∫ P(x) dxI.F = e∫ 2/x dxI.F = e²ln|x|I.F = e^(ln|x|²)I. F = x²Therefore, multiply the given differential equation by I.F x²:

xy′(x²) + 2xy(x²)/x = (x − 1)/x (x²) + 1/x (x²)

Simplify xy′x² + 2y = x(x − 1) + x. Integrating factor x² on both sides, we have:

x² y′+2x y=x³ − x² + x⁴/4 + Cx⁴/4

Here, C = y(1)/x¹ = (2/1) / (1) = 2. Therefore, C = 2. Put x = 1 and y = 2 in the above equation. x² y′+2x y=x³ − x² + x⁴/4 + Cx⁴/4x² (y′ + 2y) = 2x² + 1/4x⁴ − x³ + x² + 2x²x² (y′ + 2y) = 3x² + 1/4x⁴y′ + 2y = 3/x² + 1/4x²y′ + 2y = (4x² + 1)/4x². This is the required differential equation. Solve it by using the method of integrating factor as: Apply integrating factor:Multiplying factor:

e^(2lnx) = e^(lnx²) = x²y(x²) = 1/4 ∫ (4x³ + x²)/x⁴ dxy(x²) = 1/4 ∫ (4/x + 1/x²) dxy(x²) = (lnx + 1/x) / 4 + C'

Now, apply initial condition y(1) = 2:

2 = (ln1 + 1) / 4 + C'C' = 2 - 1/4C' = 7/4

Thus, the solution of the given differential equation is: y(x) = (lnx + 1/x) / 4 + 7/4 × x^-2.

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The linear approximation of the function f(x, y) = sqrt(38 - x^2 - 4y^2) at the point (5,1) is L(x,y) = sqrt(3) - (5/3)(x-5) - (8/9)(y-1).

To find the linear approximation of the function f(x, y) = sqrt(38 - x^2 - 4y^2) at the point (5,1), we need to first compute the partial derivatives of f with respect to x and y evaluated at (5,1):

fx(x, y) = -x/sqrt(38 - x^2 - 4y^2)

fy(x, y) = -8y/sqrt(38 - x^2 - 4y^2)

Then, we can plug in the values x = 5 and y = 1 to get:

fx(5, 1) = -5/sqrt(9) = -5/3

fy(5, 1) = -8/3sqrt(9) = -8/9

The linear approximation of f at (5,1) is given by:

L(x,y) = f(5,1) + fx(5,1)(x-5) + fy(5,1)(y-1)

Substituting the values we just computed, we get:

L(x,y) = sqrt(38 - 5^2 - 4(1)^2) - (5/3)(x-5) - (8/9)(y-1)

= sqrt(3) - (5/3)(x-5) - (8/9)(y-1)

Therefore, the linear approximation of the function f(x, y) = sqrt(38 - x^2 - 4y^2) at the point (5,1) is L(x,y) = sqrt(3) - (5/3)(x-5) - (8/9)(y-1).

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Step-by-step explanation:

i answered this one already as well.