HELP PLEASE IF U DO I QILL GIVE 40 POINTS !!!!

l'exercice 3 est la boisson d'Andres. Je suis désolé si cela ne ressemble pas vraiment à un français parfait, je parle anglais et j'utilise Translate. passe une bonne journée!

Answer:

N'(2, 3)

Step-by-step explanation:

my trick is counting how many spaces away it is from the axis it's being reflected over. So for this one N was at (2, -3) so I counted upwards 3 spaces from the 2 and i got to (2,3). i hope that makes sense the way i explained it.

hope this helps ;)

Answer:

  see attached

Step-by-step explanation:

You want the image of point N(2, -3) after reflection in the y-axis, plotted on the graph.

A line of reflection is the perpendicular bisector of the segment between a point and its image. That is, the image point is as far from the line as the original point, but on the opposite side of it.

The attached figure shows the location of image point N'(-2, -3).

__

Additional comment

The coordinate transformation for reflection in the y-axis just changes the sign of the x-coordinate. That puts the image point as far to the left as the original is to the right:

  (x, y) ⇒ (-x, y) . . . . . . reflection in the y-axis

The chord length is approximately 1.397 centimeters where 0.7 centimeters is the separation from the center of the circle to the chord.

We can use the properties of circles to find the angle formed by the chord at the center of the circle to evaluate the length of the chord.

0.7 centimeters is the separation from the center of the circle to the chord. This remove is additionally the stature of the isosceles triangle shaped by the chord and the two radii of the circle. 

Let θ be the angle between the chord and the center of the circle. You can use trigonometry to find θ.

sin(θ/2) = 0.7/2.5

[tex]θ/2 = sin⁻¹(0.7/2.5)[/tex]

θ/2 = 0.2793

θ=2×0.2793

θ ≈ 0.5586 radians

Now that we know θ, we can use the formula for the chord length of a circle.

chord length = 2 × radius × sin(θ/2)

Chord Length = 2 × 2.5 × sin(0.2793)

String length ≈ 1.397 cm

Therefore, the chord length is approximately 1.397 centimeters.

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a) The polygon has 8 sides and is called an octagon.

b) The measure of each interior angle of the octagon measures 135 degrees.

c) The measure of each exterior angle of the octagon measures 45 degrees.

a. To classify the polygon by the number of sides, we can use the formula for the sum of the interior angles of a polygon:

Sum of interior angles = (n - 2) x 180 degrees

where n is the number of sides of the polygon.

In this case, we are given that the sum of the interior angles is 1080 degrees. So we can set up an equation as follows:

(n - 2) x 180 = 1080

Simplifying this equation, we get:

n - 2 = 6

n = 8

b. To find the measure of one interior angle of the polygon, we can use the formula for the measure of each interior angle of a regular polygon:

Measure of each interior angle = (n - 2) * 180 degrees / n

Substituting n = 8 into this formula, we get:

Measure of each interior angle = (8 - 2) * 180 degrees / 8

= 135 degrees

c. To find the measure of one exterior angle of the polygon, we can use the fact that the sum of the interior and exterior angles of a polygon is 180 degrees. Therefore, the measure of each exterior angle of a regular polygon is:

Measure of each exterior angle = 360 degrees / n

Substituting n = 8 into this formula, we get:

Measure of each exterior angle = 360 degrees / 8

= 45 degrees

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Answer:

2/3 pizza is left!

Step-by-step explanation:

You take 1/3 from a whole pizza (3/3), leaving 2/3 for ur 2 buddies :D

The simplified form of the polynomial (4x² - 3x + 10) + (-9x² + 4x - 6) is -5x² + x + 4.

The constant term is the term without a variable, in this case, 4 is the constant term.

What is polynomial?

A polynomial is a mathematical expression that consists of variables and coefficients

To simplify the polynomial, we need to combine like terms. We have:

(4x² - 3x + 10) + (-9x² + 4x - 6)

= 4x² - 3x + 10 - 9x² + 4x - 6 (distributing the negative sign)

= (4x² - 9x²) + (-3x + 4x) + (10 - 6) (grouping like terms)

= -5x² + x + 4 (combining like terms)

Therefore, the simplified form of the polynomial (4x² - 3x + 10) + (-9x² + 4x - 6) is -5x² + x + 4.

In the polynomial -5x² + x + 4, the degree is 2, the leading coefficient is -5, and the constant term is 4.

The degree of a polynomial is the highest power of the variable in the polynomial, in this case, x² has the highest power of 2.

The leading coefficient is the coefficient of the term with the highest power of the variable, in this case, -5 is the coefficient of the x² term, so it is the leading coefficient.

The constant term is the term without a variable, in this case, 4 is the constant term.

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Therefore, the maximum displacement of the particle is 4 units, and it occurs at time t = 1.

To find the maximum displacement, we need to first determine the particle's velocity and acceleration.

The velocity of the particle is given by the derivative of its position function:

[tex]v(t) = y'(t) = 3t^2 - 12t + 9[/tex]

The acceleration of the particle is given by the derivative of its velocity function: a(t) = v'(t) = 6t - 12

Now, to find the maximum displacement, we need to find the time at which the particle comes to rest.

This occurs when its velocity is zero:

[tex]3t^2 - 12t + 9 = 0[/tex]

Simplifying this equation, we get:

[tex]t^2 - 4t + 3 = 0[/tex]

This quadratic equation factors as:

(t - 1)(t - 3) = 0

So the particle comes to rest at t = 1 or t = 3.

Next, we need to determine whether the particle is at a maximum or minimum at each of these times.

To do this, we look at the sign of the acceleration:

When t = 1, a(1) = 6(1) - 12 = -6, which is negative.

Therefore, the particle is at a maximum at t = 1.

When t = 3, a(3) = 6(3) - 12 = 6, which is positive.

Therefore, the particle is at a minimum at t = 3.

Finally, we need to find the displacement of the particle at each of these times:

[tex]y(1) = 1^3 - 6(1)^2 + 9(1) = 4[/tex]

[tex]y(3) = 3^3 - 6(3)^2 + 9(3) = 0.[/tex]

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The gross death rate is 8.38%.

What is a Rate?

A rate is a measure of the frequency of an event or occurrence in relation to a specific population or time period. Rates are often expressed in terms of units per time or per population, such as cases per 100,000 people or births per year.

The gross death rate is the number of deaths in a given time period divided by the total population or, in this case, the total number of discharges.

To calculate the gross death rate for City Hospital in June, we need to subtract the eight deaths that occurred within 48 hours of admission from the total number of deaths:

Total deaths = 49 - 8 = 41

Then, we divide the total number of deaths (41) by the total number of discharges (489) and multiply by 100 to get the rate per 100 discharges:

Gross death rate = (41 ÷ 489) x 100 = 8.38%

Therefore, the gross death rate for City Hospital in June is 8.38%.

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Answer: True

Step-by-step explanation:

Answer:

Step-by-step explanation:

330/2 = 165

330/3 = 110

330/5 = 66

330/6 = 55

330/10 = 33

330/11 = 30

the answer is true

The angle of C is 161.4°.

Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other. The other names of the law of sines are sine law, sine rule and sine formula.

We have :

In the Triangle ABC,

Angle A is 9 º

Side of a is 44 m,

and side of b is 46 m

To find the angle of C

Now, use the law of sines to find angle B:

b/sin B  = a/sin A

Plug all the values in above formula :

=> 46/Sin B = 44/Sin 9°

=> 46 × Sin9°/ 44 = Sin B

Sin B = 0.164

[tex]B = Sin^-^10.164[/tex]

B = 9.555

Now, By angle sum of property of a triangle,

The sum of three angles of a triangle is 180°

So, Let's apply angle sum property to find angle C

=> ∠ A + ∠ B + ∠C = 180°

Put the value of B = 9.555 and angle A = 9°

=> 9° + 9.555 + ∠C = 180°

18.555 +∠C = 180°

∠C = 180°- 18.555

∠C = 161.4°

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Answer:

Θ ≈ 28.07°

Step-by-step explanation:

using the sine ratio in the right triangle

sinΘ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{8}{17}[/tex] , then

Θ = [tex]sin^{-1}[/tex] ( [tex]\frac{8}{17}[/tex] ) ≈ 28.07° ( to the nearest hundredth )

The value of x that makes the equation true is 8

A linear equation is a type of equation that the highest power of it's variable is 1. Example of linear equation include, x+2 =y, x+7/2 =15.

The graph of a linear equation is a straight line and it is represented in form of y = mx+b. Where m is the slope and b is the y intercept.

Solving x-7 = (3/4)x -5

collecting like terms

x-(3/4)x = 7-5

x/4 = 2

x = 8

therefore the value of x that will make the equation x-7 = (3/4)x -5 true is 8.

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The volume of the cone is 1960.64 cubic yards.

We have,

The formula for the volume of a cone is:

V = (1/3)πr²h

where π is approximately 3.14, r is the radius, and h is the height.

Substituting the given values, we get:

V = (1/3) x 3.14 x 12² x 13

V = (1/3) x 3.14 x 144 x 13

V = 1/3 x 3.14 x 1872

V = 1960.64

Rounding to the nearest hundredth, we get:

V = 1960.64

Therefore,

The volume of the cone is 1960.64 cubic yards.

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The least common multiple of two or more numbers is the smallest number that is a multiple of each of the given numbers. For example, the LCM of 2 and 3 is 6, because 6 is the smallest number that is a multiple of both 2 and 3.

For this problem, the number of packs bought is the least common multiple of 10 and 12, which is obtained by factoring them into prime numbers as follows:

10 - 12|2

5 - 6|2

5 - 3|3

5- 1|5

1 - 1

Hence:

lcm(10, 12) = 2² x 3 x 5 = 60.

Hence:

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The given statement "You can measure the amount of overlap of 2 data sets by comparing the distance between the medians of the IQR" is False. Because the distance between the medians can give some indication of how much overlap there is between two data sets, it is not the only factor to consider other factors are means or standard deviation.

The median is a measure of central tendency that divides the data into two halves. The interquartile range (IQR) is a measure of spread that gives the range of the middle 50% of the data.

Therefore, the distance between the medians of the IQR can give an idea of how much overlap there is between two data sets, but it is not the only measure to consider.

Other measures of overlap include comparing the means or standard deviations of the data sets, or using statistical tests such as a t-test or ANOVA to compare the groups. So, the given statement is False.

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--The given question is incomplete, the complete question is given

" You can measure the amount of overlap of 2 data sets by only comparing the distance between the medians of the IQR. True or False."--

There is no solution to this system of equations. (option B).

What is equation?

An equation is a mathematical statement which is made by two expressions connected by an equal sign. For example, 3x – 8 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 8.

There is no solution to the given graph of two linear equations or system of linear equations.

From the given graph it is clear that graph of the given two equations shows  two lines that are parallel to each other. They don't meet or intersect each other at any point.

Since no point is on both lines, there is no ordered pair that makes both equations true.

Hence, there is no solution to this system of equations.

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By quadratic formula the equation that has the same solution(s) as X² − 12x + 49 = 22 is M. (x − 6)² = 9 since it has solutions x=3 and x=9 which are also solutions to X² − 12x + 49 = 22

The quadratic equation ax² + bx + c = 0 can be resolved using the quadratic formula.

that uses the constants (a, b, c) and the numerical coefficients.

When factoring cannot be utilized to solve the quadratic expressions, this approach of solving a quadratic equation is typically used.

x = √(b² - 4ac) / (-b √(b²) / (2a)

We must solve each of the preceding equations to determine which one has the same solution(s) as X²- 12x + 49 = 22 in order to determine which equation has the same solution(s) as X²- 12x + 49 = 22.

Let's start by figuring out X²- 12x + 49 = 22:

X² − 12x + 49 = 22

X² − 12x + 27 = 0

The quadratic formula can then be used to find the value of x:

x = √(b² - 4ac) / (-b√(b²) / (2a)

where a=1; b=-12; and c=27.

x = (-(-12) ±√((-12)² - 4(1)(27))) / (2(1))

x = (12 ±√(144 - 108)) / 2

x = (12 √(36))/ 2

x = (12 6) / 2

x = 6,3

So x = 6,3 is the answer to the equation X²- 12x + 49 = 22.

Let's now resolve each of the provided equations:

M. (x − 6)² = 9 (x -6)² -9=0

(x-6+3)(x-6-3)=0

(x-3)(x-9)=0, where x=3 or x=9

P. (x − 7)² = 22 (x-7)²-22=0

(x-7+√(22))=0

(x=7+√(22))

or (x=7-√(22))

R. (x + 7)² = 4.7 (x+7)²-4.7=0

(x+7+√(4.7))(x+7-√(4.7))=0

No effective remedies

S. (x − 12)²= −27 (x-12)²+27=0

No effective remedies

Therefore, the equation that has the same solution(s) as X² − 12x + 49 = 22 is M. (x − 6)² = 9

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Answer:

Step-by-step explanation:

Given 36 books in a box with toys such that the books : toys ratio is 4 : 5, you want the initial number of toys and the number given away if the ratio becomes 12 : 11.

The number of books remains constant at 36. We can rewrite the ratios so that each shows the correct number of books:

  ratios are books : toys

  before: 4 : 5 = 36 : 45 . . . . . . . multiply by 9

  after: 12 : 11 = 36 : 33 . . . . . . . . multiply by 3

Based on the above, we see the initial number of toys is 45.

The final number of toys is 33, so the number given away is ...

  45 -33 = 12

12 toys were given away.

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The claim that makes the most accurate statement regarding how many cookies the institution will require There will be 480 pupils who favour cookies at the college.

Decimals or fractions can also be used to represent percentages. Divide a percentage by 100 to turn it into a fraction.

If the sample of 225 students was truly random and not just selected from a certain group, we may calculate percentages depending on it.

As a result, "There will be roughly 640 pie-loving pupils at the college."

Thus, the claim that makes the most accurate forecast regarding how many cookies the institution will require There will be 480 pupils who favour cookies at the college.

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The probability of drawing two aces from a well-shuffled deck of 52 cards without replacement is 0.45%.

The probability of drawing two aces from a well-shuffled deck of 52 cards without replacement can be calculated as follows:

First, we calculate the probability of drawing an ace on the first draw. Since there are four aces in the deck and 52 cards in total, the probability of drawing an ace on the first draw is:

P(Ace on first draw) = 4/52 = 1/13

Next, we need to calculate the probability of drawing an ace on the second draw, given that an ace was already drawn on the first draw. Since there are now only three aces remaining in the deck and 51 cards in total, the probability of drawing an ace on the second draw is:

P(Ace on second draw given an ace on first draw) = 3/51

To calculate the probability of drawing two aces, we multiply the probability of drawing an ace on the first draw by the probability of drawing an ace on the second draw, given that an ace was already drawn on the first draw:

P(Drawing two aces) = P(Ace on first draw) x P(Ace on second draw given an ace on first draw)

P(Drawing two aces) = (1/13) x (3/51)

P(Drawing two aces) = 0.0045 or approximately 0.45%.

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Answer:

4.5 billion years

Step-by-step explanation:

Answer:  We can use the formula for radioactive decay:

N = N0 * (1/2)^(t/T)

where N is the current amount of the radioactive substance, N0 is the original amount, t is the time that has passed, T is the half-life.

Let's assume that the original amount of the substance in the rock was 8 units. If the current amount is 1 unit, then:

1 = 8 * (1/2)^(t/1.5 billion)

Taking the natural logarithm of both sides, we get:

ln(1) = ln(8) - (t/1.5 billion)*ln(2)

Simplifying:

0 = ln(8) - (t/1.5 billion)*ln(2)

t/1.5 billion = ln(8)/ln(2)

t = 1.5 billion * (ln(8)/ln(2))

t ≈ 3.91 billion years

Therefore, the moon rock is about 3.91 billion years old.

Step-by-step explanation:

The term that is not affected the standard error of an estimator is population size, from the provide data in options. So, option (c) is right one.

The standard error is a statistical term that used to measured the accuracy that a sample distribution represents a population by using standard deviation. The standard error(SE) is very similar to standard deviation of a distribution. Both are used to measure the spread of distribution. Higher the value SE, the more spread out your data is. In statistical way, standard error is also called standard error of mean, SEM, it represents the deviation of sample mean deviates from the actual mean of a population.

It is calculated simply by dividing the standard deviation by the square root of the sample size. That is [tex]SE = \frac{σ }{\sqrt{n}}[/tex]

where , n --> sample size

σ --> population standard deviations

Now, from the above formula it is clearly seen that standard error term or an estimator affected by sample size (n) and population standard deviations ( σ). So, right choice for answer is population size.

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Complete question:

standard error of an estimator is not affected by the multiple choice question.

a) population standard deviation

b) sample size

c) population size

Answer:

4. The smaller angle is 35°.

5. AngleCAB = 40°

AngleDAC = 50°

Step-by-step explanation:

4) The 3 angles shown all together add up to 180°.

3x+10 + 90° + 2x+5 = 180°

combine like terms.

5x + 105 = 180

subtract 105

5x = 75

divide by 5

x = 15

One of the angles is 3x+10 and the other is 2x+5.

2x+5 is the smaller angle. If x=15, then 2x+5

= 2(15) + 5

= 30 + 5

= 35

The smaller angle is 35°.

5) The two angles in this question add up to 90°.

7x-16 + 6x+2 = 90°

combine like terms

13x - 14 = 90

add 14

13x = 104

divide by 13

x = 8

Angle CAB = 7x - 16

= 7(8) - 16

= 56 - 16

= 40

AngleCAB = 40°

AngleDAC = 6x + 2

= 6(8) + 2

= 48 + 2

= 50

We also could have just subtracted to find angleDAC 90 - 40 = 50.

AngleDAC = 50°

Taner will only need to run 3 km this week to complete his 6 km running goal.

If we require a definition, we may start by saying that fractional numbers are numbers that symbolize one or possibly more portions of a unit that has been subdivided into equal parts.

Given that, Taner's overall running goal is 6 km (including last week and this week)

So,

Taner's 2-week goal is 6 kilometres.

Now,

Taner's goal for the week is 3 kilometres = (6/2).

As the Taner completed 3 km of running last week. Taner can achieve his objective this week by running just 3 miles.

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The value of the triple integral is 1920pi/3.

Here are five other iterated integrals that are equal to the given iterated integral:

[tex]\Integral^2_0 \Integral^y_0 \Integral^1_0 f(x, y, z) dx dy dz[/tex]

[tex]\Integral^2_0 \Integral^z_0 \Integral^1_z f(x, y, z) dx dz dy[/tex]

[tex]\Integral^1_0 \Integral^y_0 \Integral^1_z f(x, y, z) dx dz dy[/tex]

[tex]\Integral^1_0 \Integral^z_0 \Integral^1_y f(x, y, z) dx dy dz[/tex]

[tex]\Integral^z_0 \Integral^1_0 \Integral^y_z f(x, y, z) dx dy dz[/tex]

To evaluate the triple integral of[tex](4 + 5x^2yz^2) dV[/tex]over the cylindrical region [tex]x^2 + y^2[/tex] <= 4, -2 <= z <= 2, we can use geometric interpretation and symmetry.

Note that the integrand [tex](4 + 5x^2yz^2)[/tex] is an even function of x and y, and an odd function of z.

Therefore, the integral over the region where z is positive is equal in magnitude but opposite in sign to the integral over the region where z is negative.

Hence, we can evaluate the integral over the region 0 <= z <= 2, and then double the result.

The region of integration is a cylinder of radius 2 and height 4.

Since the integrand is not dependent on x and y, we can factor out[tex](4 + 5z^2)[/tex]  from the integrand, and evaluate the remaining integral over the unit disc in the x-y plane.

Thus, the triple integral can be written as:

[tex]8 * \Integral^2_0 \Integral^2pi_0 \Integral^2_0 (4 + 5z^2) r^3 sin(\theta) dr d(\theta) dz[/tex]

Integrating with respect to r from 0 to 2 and with respect to [tex]\theta[/tex] from 0 to [tex]2\pi[/tex], we get:

[tex]8 * \Integral^2_0 \Integral^2pi_0 (4 + 5z^2) sin(\theta) d(\theta) dz[/tex]

Integrating with respect to theta from 0 to 2pi, we get:

[tex]16pi * \Integral^2_0 (4 + 5z^2) dz[/tex]

Integrating with respect to z from 0 to 2, we get:

16pi * (32/3 + 80) = 1920pi/3.

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Answer:

10%

Step-by-step explanation:

The equation in standard form is (x- (-12))² + (y - 0)²  = (√164)²

The standard form of the equation of a circle is

(x-a)² + (y-b)² = r²

where (a, b) is the center and r is the radius

Using the completing square method on the given equation:

24x + y² = -x² + 20

x²+ 24x + y² = 20

[x² + 24x + (12)²] + [y² + 0x + (0)²] = 20 + (12)²

(x + 12)² + (y + 0)² = 164

(x - (-12))² + (y - 0)² = 164

(x- (-12))² + (y-0)²  = (√164)²

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