If f(x)=x²+3x-2
find f(-2)

pls tell me u understand the drawing

Answer: 10 * 10*10

Step-by-step explanation:

Answer:

The correct option is;

A vertical line can be represented using a table but not a function because the slope is undefined

Step-by-step explanation:

A function, f(x), representing a linear relationship can be presented as follows;

f(x) = m·x + c

Where;

m = The slope = Δy/Δx = (y₂ - y₁)/(x₂ - x₁)

c = The y-intercept

Whereby the line is a vertical line, x₂ = x₁ and x₂ - x₁ =

Therefore;

The slope of a vertical function, m =  (y₂ - y₁)/(x₂ - x₁) = (y₂ - y₁)/0 = ∞ from which we have;

f(x) = ∞·x + c = ∞ which is undefined and the vertical line can only be represented using a table but not a function because the slope is undefined

Answer: its c or 35

Step-by-step explanation: because at 10 salespeople its 40, so 9 salespeople is 35

Answer:

Sample 1: P(R)=6/800

Step-by-step explanation:

The formula of probability is = no of possible cases upon number of total cases

The best interpretation of the 95% confidence interval to estimate the percentage of young men in your community who are living at home is 0.40 and 0.60.What is confidence interval?

A confidence interval is a range of values in which an estimated population parameter lies. The value of this parameter is inferred from sample data with a certain level of confidence. To calculate the confidence interval, the margin of error and the sample mean are combined.

A confidence interval expresses the uncertainty around the estimated parameter of a population. Confidence intervals are useful for determining the reliability of an estimate. In statistical inference, confidence intervals can be used to quantify the level of certainty regarding an estimated population parameter.

What is a 95% confidence interval?A 95% confidence interval implies that if we run the same survey many times, calculating the 95% confidence interval for each survey, 95% of those intervals will contain the true value of the population parameter. It is the most common confidence level used in surveys and statistical studies.

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Answer:

We can use the Pythagorean theorem to solve this problem. Let's call the length of the incline plane "L". We know that the height of the shelving unit is 7 ft and the base of the incline plane is 11 ft. The hypotenuse of the right triangle formed by the incline plane, the floor, and the shelving unit will be the length of the incline plane. Using the Pythagorean theorem:

L^2 = 11^2 + 7^2

L^2 = 121 + 49

L^2 = 170

L = sqrt(170)

So the length of the incline plane is approximately 13.04 feet.

Answer:

eşnatto eşmatoroorlfld

Answer:

Now , Piyush age =3+Honey age

Step-by-step explanation:

Honey age=x

Piyush age=y

1 year ago,Honey age=x-1

Piyush age=y-1

the ratio of Honey and Piyush age=2:3

x-1:y-1=2:3

x-1/y-1=2/3

3(x-1)=2(y-1)

3x-3=2y-2

3x-2y= -2+3

3x-2y=1 eq _1

after 5 years from now,

Honey age=x+5

Piyush age=y+5

the ratio of them=4:5

x+5/y+5=4/5

5(x+5) =4(y+5)

5x+25=4y+20

5x-4y=20-25

5x-4y=-5 _eq2

eq1and 2_

5x-4y= -5

3x-2y= 1

-

2x-2y=-6

x-y =-3

-y=-3-x

y=3+x

To find the lower quartile of a set of numbers, we need to determine the value that separates the lowest 25% of the data from the rest. In the given set of numbers, the lower quartile can be found by arranging the data in ascending order and identifying the value at the 25th percentile.

First, let's arrange the data in ascending order: 1 5 6 6 7 7 8 8 8 8 9 9 18 20 20 20 20 20 24 32 50 50 68 100.

To find the lower quartile, we need to determine the position of the 25th percentile. Since there are 23 data points, the 25th percentile corresponds to the value at the (25/100) * 23 = 5.75th position.

Since the position is not a whole number, we need to find the value between the fifth and sixth data points. The fifth data point is 7, and the sixth data point is also 7. Therefore, the lower quartile is 7.

The lower quartile represents the value below which 25% of the data lies. In this case, 25% of the data points are less than or equal to 7. It indicates that a quarter of the values in the dataset are smaller than or equal to 7, while the remaining 75% are larger.

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Answer: Since triangle QRS and triangle TUV are both triangles, we can use the fact that the sum of the interior angles in a triangle is 180 degrees.

In triangle QRS, the measure of angle Q is 117 degrees and the measure of angle R is 180 - 117 = 63 degrees. The measure of angle S is 180 - 63 = 117 degrees, since the angles in a triangle add up to 180 degrees.

In triangle TUV, the measure of angle T is 180 - 30 = 150 degrees and the measure of angle U is 30 degrees. The measure of angle V is 180 - 150 = 30 degrees, since the angles in a triangle add up to 180 degrees.

The measures of LQ and LS can be found using the fact that the exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it.

The measure of LQ is equal to the sum of the measures of angles R and T:

LQ = 63 + 150 = 213 degrees

The measure of LS is equal to the sum of the measures of angles Q and U:

LS = 117 + 30 = 147 degrees

So the measure of LQ is 213 degrees and the measure of LS is 147 degrees.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The common difference is simply the constant we add/subtract each time. In this case, the common difference is 3/2 as can be seen from the recursive formula. In other words, each new \(n\) will be 3/2 larger than the previous.

The answer is A.

Because the 8 parts are equal, there is an equal chance of landing on each part. The chance of landing on any part is 1/8. This means that it would be impossible to predict with certainty which section will be landed on, because there is an equal chance of each.

Does that help?

Answer:

Because the 8 parts are equal, there is an equal chance of landing on each part. The chance of landing on any part is 1/8. This means that it would be impossible to predict with certainty which section will be landed on, because there is an equal chance of each.

Does that help?

Step-by-step explanation:

$31.56

37.50-20%=30

30+5.2%=31.56

There will be a total of 77 splinters when 11 members attend.

If every member suffers from 7 splinters, we can use multiplication to find the total number of splinters when 11 members attend:

7 splinters/member x 11 members = 77 splinters

Therefore, there will be 77 splinters at the meeting with 11 members in attendance.

To determine how many splinters there will be when 11 members of the Rough Wood Handlers Organization attend a meeting, you need to multiply the number of splinters each member suffers (7) by the number of members attending (11).

Step 1: Identify the number of splinters per member: 7

Step 2: Identify the number of members attending: 11

Step 3: Multiply the two numbers: 7 x 11 = 77

So, there will be 77 splinters when 11 members attend a meeting of the Rough Wood Handlers Organization. Your answer is 77.

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Answer:

She is 12 feet abouv ground.

Step-by-step explanation:

Answer: y = -15/14x - 1/2

Step-by-step explanation:

Start:

15x + 14y = -7

Subtract 15x from each side:

14y = -15x - 7

Divide 14 on each side:

y = -15/14x - 1/2

If you want to simplify the slope, it would be:

y = -1 1/14x - 1/2

Hope this helps!

The distance from the plane 10x y z=90 to the plane 10x y z=70, we need to find the distance between a point on one plane and the other plane. The distance from the plane 10x y z=90 to the plane 10x y z=70 is 10sqrt(2) units.

Take the point (0,0,9) on the plane 10x y z=90.
The distance between a point and a plane can be found using the formula:
distance = | ax + by + cz - d | / sqrt(a^2 + b^2 + c^2)
where a, b, and c are the coefficients of the x, y, and z variables in the plane equation, d is the constant term, and (x, y, z) is the coordinates of the point.
For the plane 10x y z=70, the coefficients are the same, but the constant term is different, so we have:
distance = | 10(0) + 0(0) + 10(9) - 70 | / sqrt(10^2 + 0^2 + 10^2)
distance = | 20 | / sqrt(200)
distance = 20 / 10sqrt(2)
distance = 10sqrt(2)
Therefore, the distance from the plane 10x y z=90 to the plane 10x y z=70 is 10sqrt(2) units.

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A secant line is a line that intersects a curve at two points.

A secant line is typically used to approximate the slope of a curve at a particular point. For example, if you want to find the slope of the tangent line to a curve at a point x = a, you can draw a secant line through that point and another point nearby, and use the slope of the secant line to approximate the slope of the tangent line.

To find the slope of the tangent line using a secant line, you can use the following formula:

where (x1, y1) and (x2, y2) are points on the secant line.

By taking the limit of this formula as x2 approaches x1, we can find the slope of the tangent line at the point where x = x1. This is known as the limit definition of the derivative.

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there is no answer because there is no .Th in what ever you ate trying to talk abput

Answer:

16.9°

Step-by-step explanation:

tan x = 1.7/5.6

tan^-1 x = 16.9°

Answer:

solution given:

B.

5.

given:

BD=x+1

CE=x+10

we have

2BD=CE

2(x+1)=x+10

2x+2=x+10

2x-x=10-2

x=8

The lengths of the sides of triangle PQR are:

PQ = QR = 9

RP = √90

To find the lengths of the sides of triangle PQR, we can use the distance formula. The distance between two points in 3D space (x₁, y₁, z₁) and (x₂, y₂, z₂) is given by:

d = √[(x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²]

Let's calculate the distances between the given points:

Distance PQ:

P(1, -3, -4) and Q(7, 0, 2)

d₁ = √[(7 - 1)² + (0 - (-3))² + (2 - (-4))²]

= √[6² + 3² + 6²]

= √[36 + 9 + 36]

= √81

= 9

Distance QR:

Q(7, 0, 2) and R(10, -6, -4)

d₂ = √[(10 - 7)² + (-6 - 0)² + (-4 - 2)²]

= √[3² + (-6)² + (-6)²]

= √[9 + 36 + 36]

= √[81]

= 9

Distance RP:

R(10, -6, -4) and P(1, -3, -4)

d₃ = √[(1 - 10)² + (-3 - (-6))² + (-4 - (-4))²]

= √[(-9)² + (3)² + (0)²]

= √[81 + 9 + 0]

= √90

Therefore, the lengths of the sides of triangle PQR are:

PQ = QR = 9

RP = √90

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The height of a rider on the London Eye Ferris wheel in London can be modeled by the function h(t) = A * cos(B * t), where t represents time in minutes. The Ferris wheel stands 135 meters tall with a diameter of 120 meters. It takes half an hour (30 minutes) to complete one revolution.

1. At t = 0 minutes, the rider is not at the bottom of the wheel but at the midpoint of the wheel's diameter, so the rider's height is equal to the radius of the wheel, which is half of its diameter. Therefore, the rider's height at t = 0 minutes is 120/2 = 60 meters.

2. To determine the time it takes for the rider to reach the top, we need to find the period of the cosine function. The period (T) is the time it takes for one complete cycle of the function. In this case, the period is equal to the time it takes for the Ferris wheel to make a full revolution, which is 30 minutes. So, the rider reaches the top after half of the period, which is T/2 = 30/2 = 15 minutes. At that time, the rider's height is equal to the sum of the radius of the wheel and its height, which is 60 + 135 = 195 meters.

3. The period of the cosine function is T = 30 minutes.

4. The vertical shift of the function represents the average height of the rider throughout one complete cycle. In this case, the average height is the sum of the radius and the height of the Ferris wheel divided by 2, which is (60 + 135)/2 = 97.5 meters. Therefore, the vertical shift of the function is 97.5 meters. The amplitude of the function is half of the vertical distance between the maximum and minimum values, which is (135 - 60)/2 = 37.5 meters.

5. The equation of the cosine function is h(t) = 97.5 + 37.5 * cos((2π/30) * t). To find the rider's height at t = 21 minutes, we substitute t = 21 into the equation: h(21) = 97.5 + 37.5 * cos((2π/30) * 21) ≈ 185.11 meters.

In summary, the rider's height at t = 0 minutes is 60 meters. It takes 15 minutes for the rider to reach the top, at which point their height is 195 meters. The period of the function is 30 minutes. The vertical shift is 97.5 meters, and the amplitude is 37.5 meters. Using the cosine function, the rider's height at t = 21 minutes is approximately 185.11 meters.

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The derivative of the function f(x) = \((2x^2 - 6)^-1 is f'(x) = -4x / (2x^2 - 6)^2.\)

To calculate the derivative of the function f(x) = \((2x^2 - 6)^-1\), we can use the chain rule.

Let's denote g(x) = 2x^2 - 6. Applying the chain rule, we have:

\(f'(x) = -1(g(x))^(-2) * g'(x)\)

Now, let's find the derivative of g(x):

\(g'(x) = d/dx (2x^2 - 6)\)

= 4x

Substituting this back into the expression for f'(x), we get:

\(f'(x) = -1(2x^2 - 6)^(-2) * 4x\)

Simplifying further:

\(f'(x) = -4x / (2x^2 - 6)^2\)

Therefore, the derivative of the function f(x) = \((2x^2 - 6)^-1 is f'(x) = -4x / (2x^2 - 6)^2.\)

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the equation of the tangent to the curve at the point corresponding to t = 1 is y = 6x + 6.

What is equation?

An equation is a mathematical statement that asserts the equality between two expressions. It consists of two sides, typically separated by an equal sign (=).

To find the equation of the tangent to the curve at the point corresponding to the given value of the parameter t = 1, we need to determine the slope of the tangent and the point of tangency.

Given the parametric equations \(x = t - t^{(-1)\) and \(y = 6t^2\), we can find the slope of the tangent at t = 1 by taking the derivative of y with respect to x and evaluating it at t = 1.

First, let's express y in terms of x by eliminating the parameter t:

\(x = t - t^{(-1)\)

\(x = 1 - 1^{(-1)\) [Substituting t = 1]

x = 0

Therefore, at t = 1, the corresponding point on the curve is (x, y) = (0, 6).

Now, let's differentiate y with respect to x:

dy/dx = (dy/dt) / (dx/dt)

Using the chain rule, we can calculate dy/dt and dx/dt:

\(dy/dt = d/dt (6t^2) = 12t\\\\dx/dt = d/dt (t - t^{(-1)}) = 1 + 1 = 2\)

Substituting these values into dy/dx:

dy/dx = (dy/dt) / (dx/dt) = (12t) / 2 = 6t

Now, we can evaluate the slope of the tangent at t = 1:

dy/dx = 6(1) = 6

Therefore, the slope of the tangent at the point (0, 6) is 6.

Using the point-slope form of the equation of a line, we can write the equation of the tangent line as:

y - y1 = m(x - x1)

Substituting the values (x1, y1) = (0, 6) and m = 6:

y - 6 = 6(x - 0)

y - 6 = 6x

Simplifying the equation, we get:

y = 6x + 6

Therefore, the equation of the tangent to the curve at the point corresponding to t = 1 is y = 6x + 6.

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The probability of a Type II error is represented by beta. Thus, the correct answer is option B.

Beta represents the probability of failing to reject the null hypothesis when it is false.

On the other hand, Type I error (alpha) represents the probability of rejecting the null hypothesis when it is true. A Type II error occurs when a false null hypothesis is not rejected. Hence, beta is the probability of making a Type II error.

The null hypothesis is rejected when the p-value is less than or equal to the level of significance, not exceeds it.

The p-value is the probability of obtaining a result as extreme as or more extreme than the observed result when the null hypothesis is true. If the p-value is less than the level of significance, the null hypothesis is rejected, and vice versa.

Hence, the statement "The null hypothesis is rejected when the p-value exceeds the level of significance" is false.

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The properties of the functions are

A sinusoidal function is represented as

f(x) = Acos(2π/B(x + C)) + D or

f(x) = Asin(2π/B(x + C)) + D

Where the properties are

Using the above as a guide, we have the following:

4) y = sin 2(x - π/2):

5) y = cos 1/2(x - π):

6) y = 3cos 2(x + π) - 1:

The graphs of the functions are added as attachments

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Hello!

1/6 ≈ 0.167

the answer is 0.167