Check out this square pyramid: Find the surface area of the square pyramid (above) using its net (below).​

Yes, it is a function. Each numerical grade corresponds to one letter grade. Then the correct option is C.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

Determine whether or not the situation describes a function.

The letter grade in this course is a function of your numerical grade.

Yes, it is a function. Each numerical grade corresponds to one letter grade.

Then the correct option is C.

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The result is. It indicates that there exist 17 units between the two points supplied as the answer to the given distance problem.

An object's travels are quantified by distance. Simply explained, distance, or t, is the amount of space an object covers within a specific period of time. Displacement is still the quickest route a moving object can travel. We frequently take into account the concepts of distance and motion.

Here,

the numbers (6, -3) & (2, -2)

The distance among points (a, b) and (c, d) is now

d= √(c-a)² + ( d- b) ( d- b) ²

Consequently, d= (-3+2)2 + (2-6)2

d= √ 1 + 16

d= √17

Therefore, there are 17 units between the two places.

As a result. The answer to the above distance calculation issue indicates that there are 17 units between the two points.

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well, the profit is clearly just 490 - 350 = 140.

Now, if we take 350(origin amount) to be the 100%, what is 140 off of it in percentage?

\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 350 & 100\\ 140& x \end{array} \implies \cfrac{350}{140}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{5}{2} ~~=~~ \cfrac{100}{x}\implies 5x=200\implies x=\cfrac{200}{5}\implies x=40\)

Answer:

(-11/2; -4)

Step-by-step explanation:

The point that lies on the line is symmetry is the middle point of the segment

M(x) = (-8-3)/2 = -11/2

M(y) = -4

Answer:

(-11/2; -4)

Step-by-step explanation: The point that lies on the line is symmetry is the middle point of the segment

M(x) = (-8-3)/2 = -11/2

M(y) = -4

Answer:

Step-by-step explanation:

To find the left-hand derivative of f at x = 4, we need to evaluate:

f′−(4) = limh→0−f(4+h)−f(4)h

Since f(x) = 0 for x ≤ 0 and f(x) = 5 - x for 0 < x < 5, we have:

f(4 + h) = 0 for h < -4

f(4 + h) = 5 - (4 + h) = 1 - h for -4 < h < 1

f(4 + h) = undefined for h > 1

Therefore, we can rewrite the limit as:

f′−(4) = limh→0−f(4+h)−f(4)h = limh→0−(1 - h) - 0h = -1

To find the right-hand derivative of f at x = 4, we need to evaluate:

f′+(4) = limh→0+f(4+h)−f(4)h

Using the same reasoning as before, we can rewrite the limit as:

f′+(4) = limh→0+(5 - (4 + h)) - 0h = -1

Since the left-hand derivative and the right-hand derivative are equal, we can conclude that f'(4) exists and is equal to:

f'(4) = f′−(4) = f′+(4) = -1

Therefore, the derivative of f at x = 4 is -1.

\(0.685\)

the expanded notation form.

\(0\)

\( + 0.6\)

\( + 0.08\)

\( + 0.005\)

it can be written as a sentence also,

0 + 0.6 + 0.08 + 0.005

Answer

The Answer is A C D

Step-by-step explanation:

Answer:53.312

Step-by-step explanation: 8.33 x 6.40

Angle 1 = 55 degrees ( corresponding angles are eqaul)

The domain of the function is (-∝, -3) ∪ (-3, +∝)

The range is (-∝, 3) ∪ (3, +∝) and the asymptotes are x = -3 and y = 3

From the question, we have the following parameters that can be used in our computation:

f(x) = 2/(x + 3) + 3

Set the denominator to not equal to 0

So, we have

x + 3 ≠ 0

So, we have

x ≠ -3

As an interval notation, we have

(-∝, -3) ∪ (-3, +∝)

Here, we have

f(x) = 2/(x + 3) + 3

When x = -3, we have

f(-3) = undefined + 3

This means that

f(x) ≠ -3

As an interval notation, we have

(-∝, 3) ∪ (3, +∝)

In (a), we have

x ≠ -3

This means that

Vertical asymptote: x = -3

In (b), we have

f(x) ≠ -3

This means that

Horizontal asymptote: y = 3

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To multiply mixed numbers, we first need to convert them to improper fractions, then we can multiply them and simplify the result back to a mixed number.

Converting the first mixed number to an improper fraction:

-3 5/7 = -3 × 7/7 + 5/7 = -21/7 + 5/7 = -16/7

Converting the second mixed number to an improper fraction:

-2 1/2 = -2 × 2/2 + 1/2 = -4/2 + 1/2 = -3/2

Multiplying the two improper fractions:

(-16/7) × (-3/2) = (16/7) × (3/2) = 48/14 = 24/7

Simplifying the result to a mixed number:

24/7 = 3 3/7

Therefore, -3 5/7 x -2 1/2 = 3 3/7.

we have

Apply distributive property and remove the parenthesis

Combine like terms

The correct option is second quadrant.

A circle having a radius and length of one is known as a unit circle. However, it frequently includes additional bells and whistles. Right triangle relationships known as sine, cosine, and tangent can be defined on a unit circle. These correlations explain the connections between the sides and angles of a right triangle.

Given:

x coordinate of a point on the unit circle always greater than the y coordinate.

So, We know that in the second quadrant of unit circle case has x coordinate of a point on the unit circle always greater than the y coordinate.

Hence, the correct option is second quadrant.

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The volume of the solid generated about the x-axis by revolving region r is equal to V  = \(\int\limits^a_b \pi {[y]^{2} } \, dx\) .

As given in the question,

Volume of the solid which is generated by revolving a plane region 'r' about vertical line which does not pass through the given plane:

'r' be the radius of the circle.

Area of the cross section is the circle area = πr²

As it is given it is about the x-axis then radius 'r' is the function of x

f(x) = r

Let 'V' be the volume.

Volume of the solid generated by revolving the region 'r' about the x‐axis on the interval [ a, b] is given by :

V = \(\int\limits^a_b \pi {[f(x)]^{2} } \, dx\)

As f(x) = y

⇒V  = \(\int\limits^a_b \pi {[y]^{2} } \, dx\)

Therefore, the integral used to represent the volume of the given solid generated by revolving about the x-axis is equal to V  = \(\int\limits^a_b \pi {[y]^{2} } \, dx\)

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Answer:My answer is $4.50 a hr. If u add 4.50 up 4 times, you will get 18. If u multiply 4.50 ×4 it will equal 18.

Step-by-step explanation:

In general,

Therefore, in our case, (Notice that since A/B and C/D are rational expressions, B and D cannot be equal to zero)

Notice that the left side of each option includes the term

However, we cannot assure that C is different than zero because it is only stated that C/D is rational.

Furthermore,

And (A*D)/(B*C) is not included among the options.

Answer:

Step-by-step explanation:

The answer is (A)

The reason is that the coordinates (-1, 1 \(\frac{1}{4}\)) mean that we must move -1 back in the x-direction or horizontally backward then 1 and 1/4 in the y-direction or vertically up to get our answer.

Hope that helps!

Answer:AA

Step-by-step explanation:

Answer:

y = 7

Step-by-step explanation:

3y + (y+1) + (4y-3) = 54

3y + y + 4y + 1 - 3 = 54

8y - 2 = 54

8y = 54 + 2

8y = 56

y = 56/8

y = 7

Check:

3*7 + (7+1) + ((4*7)-3) = 54

21 + 8 + 28-3 = 54

29 + 25 = 54

Answer: Paid 2.3 kg per kilo

Step-by-step explanation:

8.5 divided by 19.55= 2.3

Check:

2.3 times 8.5 gives you 19.55

Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.

Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.

What is an Angle?

An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths

To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:

Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.

Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees

Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees

Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

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Answer:

The answer is 233

hope this helps you

Answer:

60%

Step-by-step explanation:

\(\frac{12}{20}\)×\(\frac{100}{1}\)= 60%

You put 12 over 20 and multiply it by 100 over 1 and you cancel and multiply to find your answer.

(when you are trying to find the percentage you multiply by 100)

Answer:

it is not safe

Step-by-step explanation:

Step-by-step explanation:

Step 1 : Set g(x) = y

y = -1/2 x + 3

Step 2 : Make x the subject

y - 3 = -1/2x

1/2x = 3 - y

x = 2(3 - y)

x = 6 - 2y

Step 3 : Replace y by x and equat3 it to g^(-1)(x)

g^(-1)(x) = 6 - 2y

EXPLANATION

The terminal side on an angle in standard position is drawn with one end at the origin and the other at some angle to the initial side.

A is either 45° or 135°.

To prove the given statement, let's assume that the points B and C lie on a coordinate plane, with the origin (0, 0) as the common vertex of the right angles at points B, C, and A. Let the coordinates of points B and C be (x₁, y₁) and (x₂, y₂) respectively.

Using the distance formula, we have:

AB² = x₁² + y₁²

AC² = x₂² + y₂²

According to the given equation, +b4+c4 = 20² (b²+c²), we can rewrite it as:

(x₁² + y₁²) + (x₂² + y₂²) = 20² [(x₁² + y₁²) + (x₂² + y₂²)]

Expanding and simplifying the equation, we get:

x₁² + y₁² + x₂² + y₂² = 20² (x₁² + y₁² + x₂² + y₂²)

This equation can be further simplified to:

(x₁² + y₁²) + (x₂² + y₂²) = (20² - 1) (x₁² + y₁² + x₂² + y₂²)

Since the left side represents the sum of the squares of the distances from the origin to points B and C, and the right side is a constant multiplied by the same sum, we can conclude that the points B and C must lie on a circle centered at the origin.

In a circle, the sum of angles subtended by two perpendicular chords at the center is either 180° or 360°. Since the given problem involves right angles, we consider the sum of angles to be 180°.

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The Area of the shaded region of the circle = 60.75π m²

The Length of arc ADB = ∅/360 × 2πr = 13.5π m.

The area of the shaded region in the circle = area of the sector of a circle = ∅/360 × πr², where r is the radius of the circle and the central angle is ∅.

The length of the arc on a circle = ∅/360 × 2πr, where r is the radius of the circle and the central angle is ∅.

Given the following:

Central angle (∅) = 360 - 90 = 270°

Radius (r) = 9 m.

Area of the shaded region of the circle = ∅/360 × πr² = 270/360 × π(9²)

Area of the shaded region of the circle = 270/360 × π81

Area of the shaded region of the circle = 60.75π m²

Length of arc ADB = ∅/360 × 2πr = 270/360 × 2π(9)

Length of arc ADB = ∅/360 × 2πr = 270/360 × 18π

Length of arc ADB = ∅/360 × 2πr = 13.5π m.

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Based on the information given, we know that the two triangles have two pairs of congruent angles. This is sufficient to prove that the two triangles are congruent using the AAS (Angle-Angle-Side) postulate. Therefore, the method I would use to prove the two triangles congruent is **AAS**.

The dimensions of the box if it is to use the minimum possible amount of metal are,

⇒ 2.714 m, 2.714 m, 1.358 m

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A container with an open top is to have 10 m³ capacity.

Now,

Let the dimensions are x, y and z.

Since, Volume of box = 10 m³

Hence, We get;

⇒ xyz = 10

⇒ z = 10/xy

Since, A container is open in top.

Hence, The surface area = 2xz + 2yz + xy

Substitute z = 10/xy;

⇒ S.A = 2x (10/xy) + 2y (10/xy) + xy

          = 20/y + 20/x + xy

For minimum metal;

⇒ d (S.A)/ dx = 0

⇒ - 20/x² + y = 0

⇒ y = 20/x²  ..(i)

And, d (S.A) / dy = 0

⇒ - 20/y² + x = 0

⇒ x = 20/y²   ..(ii)

Divide equation (i) and ((ii);

⇒ x = y

Hence, We get;

⇒ xyz = 10

⇒ x³ = 10

⇒ x = 2.714

And, y = 2.714

So, The value of z is,

⇒ z = 10/xy

⇒ z = 10 / 2.714×2.714

⇒ z = 1.358 m

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