Qual é o número natural que a dividir por -14 dá -3

Answer:

64 is the answer glad to help

Answer:

22

Step-by-step explanation:

As a car dealer lowers a vehicle that was worth 18300 to 16000 by applying the formula of change in percentage we get that by 12.569 percentage (approximately) the price gets lowered .

The initial price of the car is set at P = 18300 (units)

The price after lowering drom P becomes A= 16000 (units)

Hence the change in price (or value) of the car, that is the price of the car is lowered by, C = (initial price - lowered price) = (P - A) = (18300 - 16000) units = 2300 units.

The formula for calculating percentage change is given as follows,

Change in percentage = [(Change in value)/ ( Initial value) ]*100

⇒Change in percentage = (C/ P)*100

⇒ Change in percentage =( 2300/ 18300)*100 = 12.569% (approximately)

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Using circle theorems  the angles in triangle ΔABM are

Circle theorems are theorems that govern circle peoperties

To find the angles in triangle ABM, we notice that in ΔABO, since OB = OA (radius of the circle), then ΔABO is an isoceles triangle.

So, ∠OAB = ∠ABO  (Base angles of an isoceles triangle)

Now, ∠OAB = ∠ABO = ∠A = 30°

Also ∠OAB + ∠ABO = ∠BOM (sum of opposite interior angles)

30° +  30° = ∠BOM

∠BOM = 60°

Now since OB is the radius and touches MV at B, and thus perpendicular to it. so, ∠OBM = 90°

Now, ∠OAB + ∠OBM = ∠ABM

30° + 90° = ∠ABM

∠ABM = 120°

Now in triangle ΔABM

∠BAM + ∠ABM + ∠BMA = 180° (sum of angles in a triangle)

Now

So, making ∠BMA subject of the formula, we have that

∠BMA = 180° - ∠BAM + ∠ABM

So, substituting the values of the variables into the equation, we have that

∠BMA = 180° - ∠BAM + ∠ABM

∠BMA = 180° - 30° - 120°

∠BMA = 180° - 150°

∠BMA = 30°

So, the angles are

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Answer:

interest money is the amount of money a lender or a financial institution receives for lending out money

Displacement is calculated as the shortest distance between starting and final point which prefers a straight-line path over curved paths.

Displacement is the distance between two different positions of an object in m motion. So, it depends on the initial position and its final position. Also, displacement is the minimum distance between the starting and final positions.

Suppose a body is moving in two different directions x and y then the Resultant Displacement will be S=√x²+y²

Example 1: The path distance from the garden to a school is 5 m west and then 4 m south. A builder wants to build a short-distance path for it. Find the displacement length of the shortest path.

Solution: Distance to the west x = 5 m

Distance to the south y = 4 m.

Displacement is given by S=√x²+y²

s = 6.403 m.

The builder can build a path for a displacement length of 6.7 m.

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The formula to solve the displacement is written as Δx  = xf − xi

The term displacement is defined as  the change in the position of any point or object. It has a direction and magnitude, so it is a vector quantity and it is shown with an arrow that points from the starting position to the final position.

In order to find the displacement by determining the object’s initial and final position.

Therefore, the displacement formula is written as,

=> Δx  = xf − xi

Here xf refers the final position,

And the variable xi is the initial position, and

Then the term Δx is the change in the position of the object.

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To answer this question, we need to perform a hypothesis test with the following null and alternative hypotheses:

- Null hypothesis: The true population mean teaching salary in the metro Atlanta area is equal to the average teaching salary in Georgia, i.e., μ = $48,553.

- Alternative hypothesis: The true population mean teaching salary in the metro Atlanta area is greater than the average teaching salary in Georgia, i.e., μ > $48,553.

We can use a one-sample t-test since we have a sample mean, sample standard deviation, and a sample size of n = 228. We can use a significance level of α = 0.05.

The test statistic for the t-test can be calculated as:

t = (sample mean - hypothesized population mean) / (sample standard deviation / sqrt(sample size))

t = (49,021 - 48,553) / (3,127 / sqrt(228))

t = 4.65

Using a t-distribution table with 227 degrees of freedom (n-1), we can find the critical value for a one-tailed test with α = 0.05, which is 1.645.

Since the calculated t-value of 4.65 is greater than the critical value of 1.645, we reject the null hypothesis.

This means that we have statistically significant evidence to conclude that the true population mean teaching salary in the metro Atlanta area is greater than the average teaching salary in Georgia.

In other words, the school districts in the metro Atlanta area do pay their teachers more than the state average.

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Answer:

(f ￮ g)(0) = 3

Step-by-step explanation:

evaluate g(0) then substitute the value obtained into f(x)

g(0) means what is the value of g(x) when x = 0

from the graph g(0) = 2 , then

f(2) , that is what is the value of f(x) when x = 2

from the graph  f(2) = 3

then

(f ￮ g)(0) = 3

A data set's attributes are enumerated through descriptive statistics. You can use inferential statistics to test a hypothesis or determine whether your data can be applied to a larger population.

Descriptive statistics concentrate on describing the features of a dataset that are readily evident (a population or sample). In contrast, inferential statistics concentrate on drawing conclusions or generalisations from a sample of data in a larger dataset.

The information from a research sample is described and condensed using descriptive statistics. We can draw conclusions about the larger population from which we drew our sample using inferential statistics.

The area of statistics known as descriptive statistics is focused on providing a description of the population being studied. A type of statistics known as inferential statistics concentrates on inferring information about the population from sample analysis and observation.

Hence we get the required answer.

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\(cos(\theta )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}\qquad \impliedby \textit{let's now find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{5^2-3^2}=b\implies \sqrt{25-9}=b\implies \sqrt{16}=b\implies 4=b \\\\[-0.35em] ~\dotfill\)

\(sin(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{hypotenuse}{5}}\qquad \qquad tan(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{3}}\qquad \qquad cot=\cfrac{\stackrel{adjacent}{3}}{\underset{opposite}{4}} \\\\\\ sec(\theta )=\cfrac{\stackrel{hypotenuse}{5}}{\underset{adjacent}{3}}\qquad \qquad csc(\theta )=\cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{4}}\)

The values of the five other trigonometric functions value for the same input θ for which cos(θ) = 3/5 are:

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

\(\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\\)

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

\(|AC|^2 = |AB|^2 + |BC|^2\)

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

We're given that:

cosθ = 3/5 for some angle θ

Since we've got:

\(\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\)

Therefore, we have:

\(\dfrac{3}{5} = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\)

Let we consider a right angled triangle in which there is hypotenuse of length 5 units and base (from the perspective of one of its non-right angle) of 3 units (as shown in the image attached below).

(we couldve taken 3x and 5x instead of 3 and 5, for any positive real number value of 'x' as when we would take their ratio, that common factor 'x' would get cancelled out. We can think of 3 and 5 as the special case of 3x and 5x when x = 1)

Then, from that perspective, let the perpendicular be of the length 'p' units, then as per the pythagoras theorem, we get:

\(p^2 + 3^2 = 5^2\\p = \sqrt{25 - 9} = \sqrt{16} = 4 \: \rm units\)

(took only the positive root to remove the square term because the value of p denotes length, which is a non-negative quantity).

Thus, we have:

From the perspective of the angle θ:

Thus, using these values, and the definition of the trigonometric ratios, we get:

Thus, the values of the five other trigonometric functions value for the same input θ for which cos(θ) = 3/5 are:

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The loop will keep executing infinitely, leading to an infinite loop.

What is for loop ?

For loop can be defined as, it run the given code in the given number of times , at first it intialises the value and than checks the condition and than increments or decrements the value.

Yes, the given for-loop is an infinite loop.

The loop condition j < 1000 is based on the variable j, which is initialized to 0, but j is never incremented or modified inside the loop. Therefore, the condition j < 1000 will always be true, and the loop will continue to execute indefinitely.

Although the variable count is being incremented inside the loop, it is not being used in the loop condition or in any other way that would cause the loop to terminate.

Hence, the loop will keep executing infinitely, leading to an infinite loop.

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The required return for a stock with a beta of 2.20, a risk-free rate of 2%, and a market risk premium of 6% is 14.39%.  The correct option is c.

To calculate the required return, we can use the Capital Asset Pricing Model (CAPM), which relates the expected return of a stock to its beta, the risk-free rate, and the market risk premium. The formula for CAPM is as follows:

Required Return = Risk-Free Rate + (Beta × Market Risk Premium)

In this case, the risk-free rate is 2% and the market risk premium is 6%. The beta of the stock is given as 2.20. Plugging these values into the formula, we get:

Required Return = 2% + (2.20 × 6%) = 2% + 13.2% = 15.2%

Therefore, the correct answer is option C: 14.39%.

The CAPM is a widely used model in finance to estimate the required return on an investment. It takes into account the risk-free rate, which represents the return on a risk-free investment such as government bonds, and the market risk premium, which represents the additional return investors expect to receive for taking on the risk of investing in the overall market.

The beta of a stock measures its sensitivity to market movements, and multiplying it by the market risk premium gives us an estimate of the stock's additional required return. By summing this additional return with the risk-free rate, we obtain the required return for the stock.

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Answer: #3

Step-by-step explanation:

Answer:

C. 2^8 • 2^(2/10) • 2^(4/100)

Answer:

381623 ft

Step-by-step explanation:

Since the airport altitude is 20000 ft and the pilot needs a 2° descent, to calculate the distance of the airplane at the start of this approach, first this is represented in the diagram attached. The distance from the runway at the start is x.

\(tan(3) = \frac{20000}{x} \\x=\frac{20000}{tan(3)} \\x=381623ft\)

The airplane is at a distance of 381623 ft away from the airplane runaway at the start of the descent.

Normal probability distribution is applied to a continuous random variable. The correct option is D.

The normal probability distribution, also known as the Gaussian distribution, is a probability distribution that is commonly used in statistics and probability theory. It is a continuous probability distribution that is often used to model the behavior of a wide range of variables, such as physical measurements like height, weight, and temperature.

The normal distribution is characterized by two parameters: the mean (μ) and the standard deviation (σ). It is a bell-shaped curve that is symmetrical around the mean, with the highest point of the curve being located at the mean. The standard deviation determines the width of the curve, and 68% of the data falls within one standard deviation of the mean, while 95% falls within two standard deviations.

The normal distribution is widely used in statistical inference and hypothesis testing, as many test statistics are approximately normally distributed under certain conditions. It is also used in modeling various phenomena, including financial markets, population growth, and natural phenomena like earthquakes and weather patterns.

Overall, the normal probability distribution is a powerful tool for modeling and analyzing a wide range of continuous random variables in a variety of fields.

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Answer:

9) -4x+y+6z

10) 8x^2-x-2

Answer:

y=-3

Step-by-step explanation:

(0 -  3 • (y - 5)) -  24  = 0

-3y - 9  =   -3 • (y + 3)

 -3 • (y + 3)  = 0

 Solve :    -3   =  0

y+3 = 0

Answer:

1. y = -4

2. y = -0.73 (rounded; it's a repeating decimal and the 3 goes on. -0.7333333, and so on)

3. y = 24

4. c = -13.5

Step-by-step explanation:

30+7y=-2y-6

You want to get the y all by itself. So in order to do that you must combine the like terms from both sides. (so you'll combine the values with a variable, in this case y, and then you will combine the numbers without a variable.)

So, first, get the y's on the same side.

30+7y = -2y-6

Because 2 is negative "-2y", in order to cancel it out you have to ADD 2y to both sides.

30+(7y+2y)= -6

30+9y=-6

Remember, your goal is to get y by itself. So in order to do that, you have to get rid of the solo number on the same side, which is 30. Therefore, you must subtract 30 from BOTH SIDES.

9y= (-6 - 30)

Remember, when you're subtracting with negatives. The rule is: KEEP IT, SWITCH IT, SWITCH IT.

Keep the -6.

Switch the - to a +

And switch the positive thirty to a negative 30.

9y= -6 + (-30)

9y = -36

You want the y alone, so you have to cancel out the multiplication by its recipriocal (or opposite). The opposite of multiplication is division. So you must divide both sides by 9.

y= -36 ÷ 9

y= -4

__________________________

4(3y+4.1)=7.6

Use the distributive property and multiply the 4 (which is outside of the partenthesis) by what's inside of the parenthesis (3y+4.1).

4(3y+4.1):

4 x 3y = 12y

4 x 4.1 = 16.4

12y+16.4 = 7.6

Subtract 16.4 from both sides

12y = -8.8

Divide both sides by 12 to get the y by itself

y= -0.73 (repeating)

__________________________

3(y+1) = 4y-21

This is similar to the last problem. You must use the distributive property and multiply what's outside of the parenthesis by what's inside of the parenthesis.

3 x y = 3y

3 x 1 = 3

Rewrite the equation

3y+3 = 4y-21

Now this problem is similar to the very first problem

You need y by itself. So subtract 3y from both sides

3=(4y-3y)-21

3= 1y-21

Add 21 to both sides to get y by itself

24=1y

y=24

__________________________

3(2c+5) = 4(c-3)

This is just like the last two problems, you must use the distributive property.

3 x 2c = 6c

3 x 5 = 15

Rewrite equation.

6c+15 = 4(c-3)

Now you have to use the distrubtive property for 4(c-3)

4 x c = 4c

4 x (-3) = -12

Rewrite

6c + 15 = 4c - 12

Subtract both sides by 4c

(6c-4c) + 15 = -12

2c + 15 = -12

Subtract by 15 from both sides.

2c = -27

Divide both sides by 2, in order to get c by itself

c = -27 ÷ 2

c = -13.5

Answer: -2.6%

Step-by-step explanation:

Percent error is the difference between the measured and known value, and then we divide by the known value, and then multiply by 100%.

Estimated.number = 15.4 grams.

Actual number = 15.8 grams

Percentage error = (Estimated number - Actual number)/Actual number × 100

= (15.4 - 15.8)/15.8 × 100

= -0.4/15.8 × 100

= 0.0253 × 100

= 2.53

= -2.6% approximately

Hence, there are 2,408 ways to place the blue king and the yellow king on an empty chessboard so that they do not attack each other.

To determine the number of ways to place a blue king and a yellow king on an empty chessboard such that they do not attack each other, we can consider the possible positions for the blue king.

Since there are 64 squares on a chessboard, we have 64 choices for the blue king's position. Once the blue king is placed, there are 49 remaining squares where the yellow king can be placed. However, we need to ensure that the yellow king is not in a position to attack the blue king.

If the blue king is placed on a corner square (4 corner squares available), then there are 8 squares adjacent to the blue king where the yellow king cannot be placed. Therefore, for each corner square placement of the blue king, we have 41 choices for the yellow king's position.

If the blue king is placed on a square along the edge of the board (24 edge squares available), then there are 11 squares adjacent to the blue king where the yellow king cannot be placed. So, for each edge square placement of the blue king, we have 38 choices for the yellow king's position.

If the blue king is placed on an inner square (36 inner squares available), then there are 12 squares adjacent to the blue king where the yellow king cannot be placed. Hence, for each inner square placement of the blue king, we have 37 choices for the yellow king's position.

Therefore, the total number of ways to place the blue king and the yellow king on the chessboard such that they do not attack each other is:

(4 * 41) + (24 * 38) + (36 * 37) = 164 + 912 + 1,332 = 2,408 ways.

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The function f,g and h are defined by f(x)=xSin(1/x²), g(x)=x²Sin(1/x) and h(x)=Sinx/x. The 1st and 2nd inequality are satisfying the function, Option A is correct.

Given that,

The function f,g and h are defined by

f(x)=xSin(1/x²)

g(x)=x²Sin(1/x) and

h(x)=Sinx/x

We have to find which inequality can be used with squeeze theorem to find the limit of the function.

The inequality are

1. -|x|<f(x)<|x|

2. -x²<g(x)<x²

3. -x<h(x)<x

The squeeze (or sandwich) theory states that if f(x)g(x)h(x) for all numbers and at some point x=k we have f(k)=h(k), then g(k) must also be equal to them. Theorem: We can use them to achieve challenging limits, such as sin(x)/x at x=0, by "squeezing" sin(x)/x between two better functions and using them to find the limit at x=0.

First we see the 1st inequality.

The range of sin function is from -1 to 1

-1<Sin(1/x²)<1

-x<xSin(1/x²)<x

-|x|<xSin(1/x²)<|x|

-|x|<f(x)<|x|
The 1st inequality satisfy the function.

Now, we see the 2nd inequality.

The range of sin function is from -1 to 1

-1<Sin(1/x)<1

-x²<x²Sin(1/x²)<x²

-x²<g(x)<x²
The 2st inequality satisfy the function.

Now, we see the 3nd inequality.

The range of sin function is from -1 to 1

-1<Sinx<1

-1/x<Sinx/x<1/x

-1/x<h(x)<1/x
The 3st inequality does not satisfy the function.

Therefore, the 1st and 2nd inequality are satisfying the function, Option A is correct.

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Answer:Descartes’s chief contributions to mathematics were his analytical geometry and his theory of vortices, and it is on his researches in connection with the former of these subjects that his mathematical reputation rests. Who is Rene Descartes is he known for? Descartes has been heralded as the first modern philosopher.

Step-by-step explanation:

Hi!

The answer is: 15 girls.

__________________________________________________________

Let

x-----> the number of girls

y-----> the number of boys

we know that

- x+y=27, Which is equation A.

- x/y = 5/4

- isolate the variable y

- y=4/5x, Which is equation B.

- 9/5x=27

- x=5x27/9

- 15 Girls.

__________________________________________________________

Hope this helps!

Answer:

LOL

Step-by-step explanation:

ssssssssssssssss

The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:

y^2 / 25 - x^2 / a^2 = 1

where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.

Thus, the equation for the hyperbola is:

y^2 / 25 - x^2 / (400/9) = 1

or

9y^2 - 400x^2 = 900

The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.

To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.

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Answer:

24 ft.

Step-by-step explanation:

Radius = 4 ft

Central angle = 6°

Arc length = radius × central angle

= 4 × 6°

= 24 ft.