What are 3 examples inequality?

Answer: 8

Step-by-step explanation:

The angles that must be right angles in the given figure are <FPT and <GWF.

In the given figure, we have a circle with center N and diameter FM. The tangents to the circle are GA and FW.

First, let's consider angle <FPT. Since GA is tangent to the circle, it is perpendicular to the radius drawn from the center N to the point of tangency, which is point F. Therefore, <FPT must be a right angle.

Next, let's consider angle <GWF. Since FW is tangent to the circle, it is also perpendicular to the radius drawn from the center N to the point of tangency, which is point F. Hence, <GWF must also be a right angle.

Angles <TFS, <NGW, <FNG, and <NFW are not guaranteed to be right angles based on the given information. Although the figure suggests that <FNG might be a right angle due to the right triangle formed by the diameter FM and the tangent GA, it is not necessarily always true, as the figure could be drawn in a way that makes <FNG non-right.

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Complete question:

The figure below shows a circle with center N, diameter FM, and tangents GA and FW. Which of the angles must be right angles? Select all that apply.

A) <TFS

B) <NGW

C) <FPT

D) <FNG

E) <NFW

F) <GWF

Answer:A

Step-by-step explanation:

The inverse of the function is y = (x +1) /2, the next step is to solve the equation for y, the correct option is A.

A function is a law that relates two variables namely, a dependent and an independent variable.

A function always has a defined range and domain, domain is all the value a function can have as an input and range is all the value that a function can have.

The function is f(x) = 2x -1

The inverse of a function is determined by interchanging the variables x and y and then solving for y in terms of x.

Patel replaced f(x) by y, y = 2x -1

He then switched  x and y, x = 2y -1

The next step is to solve the equation for y.

2y = x +1

y = (x +1) /2

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Okay, here we have this:

Considering that a function is one-to-one if and only if no horizontal line intersects its graph more than once.

So, according with this we any horizontal line that is drawn on the line touches only one point on it, therefore the function is one to one.

Answer:

No

Step-by-step explanation: he is 3 and 1/3 feet tall. 3 feet is 36inch and 1/3 feet is 4 inches, so 36+4 is 40 inches

The area left for children for playing 114464 sq. m

As per the given data inside a park:

The length of the park is 400 m

The breadth of the park is 300 m

The formula for the area of the park = Length × Breadth

= (400 × 300) sq. m

= 120000 sq. m

The width of the walking track inside the park is 4 m

The length of the park without the walking track

= 400 − (4 + 4) m

= 400 − 8 m

= 392 m

The breadth of the park without the walking track

= 300 − (4 + 2) m

= 300 − 8 m

=292 m

Area of the park without the walking track:

= 392 × 292

= 114464 sq. m

Therefore the area left for children for playing other than the walking track is 114464 sq. m.

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Answer:

135

Step-by-step explanation:

Hello There!

Remember the exterior angle of a triangle rule:

An exterior angle of a triangle is equal to the sum of its opposite interior angles

so x = the sum of its opposite interior angles (58 and 77)

58 + 77=135

so x = 135

Answer: x=135°

Step-by-step explanation:

Angles in a triangle always add up to 180° so to find the corner of the missing side next to x you need to do 58+77=135 then do 180-135=45°

So then, now we have the angle inside the triangle, we can now work out what x is.

Angles on a straight line always add up to 180° so you do 180-45=135° so x=135°.

Hope this helps :)

Answer:

-4 just kidding it is 3

Step-by-step explanation:

The ordered pair which is solution of 8x+16y > 32 is (-3,5) , the correct option is (b) .

In the question ,

it is given that ,

the linear inequality is 8x+16y > 32 .

to find the solution set ,

we substitute the options that are given

Option(a)

Substituting (0,2) in 8x+16y > 32 ,

we get ,

8(0) + 16(2) > 32

32 > 32 ,

false , hence it is not a solution .

Option(b)

Substituting (-3,5) in 8x+16y > 32 ,

we get ,

8(-3) + 16(5) > 32

-24 + 80 > 32

56 > 32

true , yes it is the solution .

Option(c)

Substituting (-1,1) in 8x+16y > 32 ,

we get ,

8(-1) + 16(1) > 32

-8 + 16 > 32

8 > 32

False , hence it is not a solution .

Option(d)

Substituting (4,0) in 8x+16y > 32 ,

we get ,

8(4) + 16(0) > 32

32 + 0 > 32

32 > 32

False , hence it is not a solution .

The only solution that satisfy the inequality is (-3,5) .

Therefore  , The ordered pair which is solution of 8x+16y > 32 is (-3,5) .

The given question is incomplete , the complete question is

Which ordered pair is in the solution set of 8x+16y > 32 ?

(a) (0,2)

(b) (-3,5)

(c) (-1,1)

(d) (4,0)

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The vectors [5 -4 -1], [1 -1 -5], and [5 -2 5] are linearly independent. There are no scalars other than 0 that will satisfy the equation ū + v + w = 0.

To determine whether the given vectors are linearly independent, we need to check if there exists a nontrivial linear combination of the vectors that equals the zero vector.

Let's assume that there exist scalars a, b, and c such that a[5 -4 -1] + b[1 -1 -5] + c[5 -2 5] = 0.

Expanding this equation, we get (5a + b + 5c) + (-4a - b - 2c) + (-a - 5b + 5c) = 0.

To satisfy this equation, all the coefficients of the vectors must be zero. Equating the coefficients to zero, we have the following system of equations:

5a + b + 5c = 0,

-4a - b - 2c = 0,

-a - 5b + 5c = 0.

Solving this system of equations, we find that a = 0, b = 0, and c = 0. This means that the only scalars that satisfy the equation ū + v + w = 0 are all zero, indicating that the vectors are linearly independent.

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Answer:

Step-by-step explanation:

An absolute value function has the standard form

where h and k are the coordinates of the vertex (the pointy part of the graph) and the absolute value of a indicates whether or not the graph is the same width as the parent graph or if it is steeper or flatter. If the absolute value of a is greater than 1, the graph is steeper; if the absolute value of a is greater than 0 but less than 1 (in other words a fraction less than 1), the graph is flatter than the parent. If the graph is upside down, there will be a negative out in front of the absolute value of a. Because our graph is in fact upside down, we will choose one of the options that has a negative in front of it. The fact that it has moved UP from the origin, but not side to side, means that the k value is a +1.

If you are familiar with an absolute value parent graph, the lines go through each diagonal of the grid perfectly. It appears that our graph is steeper (or slimmer) than that. That means that not only is our graph upside down, it also has an a value greater than 1. Putting those 2 facts to use along with our k value of +1, makes our obvious choice the first one listed.

The error in finding the measure of one exterior angle of a regular polygon lies in using the formula 360°/n, where n is the number of sides of the polygon.

The formula 360°/n is used to find the measure of each exterior angle of a regular polygon. It is based on the idea that the sum of all exterior angles of any polygon is always 360 degrees. However, this formula assumes that the polygon has internal angles of 180°, which is true only for regular polygons.

The error occurs when this formula is applied to a non-regular polygon, as non-regular polygons have varying internal angles. Using the formula 360°/n for a non-regular polygon will give incorrect results because the internal angles are not all equal.

For regular polygons, each exterior angle is indeed 360°/n, and the sum of all exterior angles will be 360 degrees. However, for non-regular polygons, this formula cannot be used, and the measures of exterior angles must be calculated differently based on their internal angles and sides.

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The error in finding the measure of one exterior angle of a regular polygon is they divided 360 by 10 instead of 5.

Given that,

There are a total of 10 exterior angles, two at each vertex, so the measure of one exterior angle is 360°/10 = 36°.

Here, at each vertex there are two angles.

So, there must be 5 vertices and 5 sides.

Then, the measure of one exterior angle = 360°/5

= 72°

Therefore, the error in finding the measure of one exterior angle of a regular polygon is they divided 360 by 10 instead of 5.

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"Your question is incomplete, probably the complete question/missing part is:"

Describe and correct the error in finding the measure of one exterior angle of a regular polygon. There are a total of 10 exterior angles, two at each vertex, so the measure of one exterior angle is 360°/10 = 36°.

Answer: 3 (C-7)+2(3c+4)​

Step-by-step explanation: Given

3(c - 7) + 2(3c + 4) ← distribute both parenthesis

= 3c - 21 + 6c + 8 ← collect like terms

= 9c - 13

Answer:

slope = -7/4

Step-by-step explanation:

Plug the points into this formula: \(\frac{y2 - y1}{x2 - x1}\)

Plug in

\(\frac{-2 - 19}{8 - (-4)} \\\\\frac{-21}{12} = -7/4\)

The simplest form is -7/4

Hope this helps ya! Keep smiling!

According to the department's profitability, Ms. Post would list the departments in order from least value to greatest as follows:Cereal Department - 10% increase (Gain)Meat Division - 1.25 gain

The Cereal Department has a 10% increase (gain). That implies that it had a positive value and that it experienced a revenue gain.The Meat Division has a 1.25 gain (gain). That implies that it had a positive value and that it experienced a revenue gain.The Frozen Foods Division had a gain. That means that it experienced a revenue gain. We do not know the percentage of gain that it had.

The Fresh Produce Division had a 15% decrease (loss). That implies that it had a negative value and that it experienced a revenue loss.The Beverage Division had a loss. That means that it experienced a revenue loss. We do not know the percentage of loss that it had.To sum up, the departments in order from least value to greatest, based on their profitability, are as follows: Cereal Department, Meat Division, Frozen Foods Division, and Beverage Division.

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Answer:

15

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

The factors of 45 are: 1, 3, 5, 9, 15, 45

The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Then the greatest common factor is 15.

Answer:

x=1

Step-by-step explanation:

It will be x=1 because once it is at x=1, the parobola is split into 2 EQUAL parts. For example, if you graph this on paper and try to guess the middle and place a line where you want to split it, the line will go at x=1

Thank you :)

Mr. Kinders will have $83,858.77 in the RRSP after 20 years. The interest earned over this period will amount to $43,858.77.

To calculate the future value of Mr. Kinders' RRSP, we can use the formula for compound interest:

Future Value (FV) = P * (1 + r/n)^(nt)

Where:

P = Monthly contribution = $200.00

r = Annual interest rate = 3% = 0.03 (expressed as a decimal)

n = Number of compounding periods per year = 4 (quarterly compounding)

t = Number of years = 20

Substituting these values into the formula, we can calculate the future value:

FV = $200 * (1 + 0.03/4)^(4*20)

FV ≈ $83,858.77

Therefore, Mr. Kinders will have approximately $83,858.77 in the RRSP after 20 years.

To calculate the amount of interest earned, we can subtract the total contributions made from the future value:

Interest = FV - Total Contributions

The total contributions can be calculated by multiplying the monthly contribution by the number of months (20 years * 12 months/year = 240 months):

Total Contributions = $200 * 240

Total Contributions = $48,000

Substituting the values into the formula, we can calculate the interest:

Interest = $83,858.77 - $48,000

Interest ≈ $35,858.77

Therefore, the amount of interest earned in the RRSP over 20 years is approximately $43,858.77.

After 20 years of contributing $200 per month to his RRSP, compounded quarterly at an interest rate of 3% per annum, Mr. Kinders will have approximately $83,858.77 in his RRSP.

The interest earned during this period will amount to approximately $43,858.77. Compound interest calculations allow individuals to estimate the growth of their investments over time and make informed financial decisions.

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Answer:

the scale factor is 2 ..................

Answer:

120/25 = 4.8

Step-by-step explanation:

To set up the equation you would do this-

\(\frac{4.8}{1} =\frac{x}{25} \\\)

Then cross multiply (multiply 4.8 by 25 and x by 1)

\(4.8(25) = x(1)\\120 = x\)

L = lenght = 4w + 7

W = width

Perimeter = 2L + 2W

74 = 2 (4W + 7 ) + 2 W

74 = 8W + 14 + 2 W

74 = 10W + 14

74-14 = 10W

60 = 10W

60/10 = W

6 = W

L = 4W + 7

L= 4(6) +7

L= 24+7

L= 31

Answer:

Lenght = 31 inches

Width = 6 inches

Answer:

6

Step-by-step explanation:

Answer:

I believe the answer is D

Step-by-step explanation:

Answer:

4/3 litres of water is enough to water 2/5 of the plants

Assuming the number of plants in the house is an unknown variable, take the value as x.

Thus, 4/3 litres is enough to water 2x plants in the house.

x = 4/3 ÷ 2

  = 2/3 litres

Amount of water for all the plants = 5x = 5 × 2/3

                                                                = 10/3 litres

Thus, 10/3 litres of water is necessary to water all the plants in the house.

No, (12, 3, 12, 4, 19) is not a 5-permutation.

A permutation is a sequence of numbers or objects in which the order matters. In order for a sequence to be a valid permutation, each element must be unique and must not repeat. In the sequence (12, 3, 12, 4, 19), 12 is repeated, so it is not a valid permutation.

A permutation can also be thought of as an arrangement of objects in which the order of the objects matters. In a 5-permutation, there would be 5 unique objects arranged in a specific order.

Since (12, 3, 12, 4, 19) contains a repeated number, it does not represent a valid 5-permutation. In order for it to be a valid 5-permutation, each number in the sequence must be unique.

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Answer:

Step-by-step explanation:

gradient = 5 = [k-(-1)]/[6-2]

[k+1]/4 = 5

k+1=20

k=19

The value of k in the line that passes through the points A(2, -1) and (6, k) with a gradient of 5 is found to be 19 by using the formula for gradient and solving the resulting equation for k.

To find the value of k in the line that passes through the points A(2, -1) and (6, k) with a gradient of 5, we'll use the formula for gradient, which is (y2 - y1) / (x2 - x1).

The given points can be substituted into the formula as follows: The gradient (m) is 5. The point A(2, -1) will be x1 and y1, and point B(6, k) will be x2 and y2. Now, we set up the formula as follows: 5 = (k - (-1)) / (6 - 2).

By simplifying, the equation becomes 5 = (k + 1) / 4. To find the value of k, we just need to solve this equation for k, which is done by multiplying both sides of the equation by 4 (to get rid of the denominator on the right side) and then subtracting 1 from both sides to isolate k. So, the equation becomes: k = 5 * 4 - 1. After carrying out the multiplication and subtraction, we find that k = 20 - 1 = 19.

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The probability of winning by picking the number 30 in roulette is 1/38.

In the game of roulette, the wheel consists of 38 spaces, with numbers 0 through 36 and an additional space marked 00. When you pick a specific number, such as 30, the probability of that number coming up on the wheel can be determined by calculating the ratio of favorable outcomes to the total number of possible outcomes.

In this case, there is only one favorable outcome, which is the ball landing on the number 30. The total number of possible outcomes is 38 since there are 37 numbered spaces (0 through 36) and one additional space for 00. Therefore, the probability of winning by picking the number 30 is 1 out of 38.

To put it simply, if you were to play roulette many times, you would expect the number 30 to come up approximately once every 38 spins on average. This probability remains the same for each individual spin, as each spin of the roulette wheel is an independent event.

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If the mpc increases in value, the consumption function will become steeper.

What is MPC ?

MPC is an advanced method of process control that is used to control a process while satisfying a set of constraints. In economics, the marginal propensity to consume is a metric that quantifies induced consumption, the concept that the increase in personal consumer spending occurs with an increase in disposable income. The proportion of disposable income which individuals spend on consumption is known as propensity to consume. MPC is the proportion of additional income that an individual consumes.

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