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All of the following names of the polygon above are correct EXCEPT for:

A) ACDEFG.
B) DEFGAC.
C) GFEDCA.
D) EDCFGA.

Answer:

14

Step-by-step explanation:

Answer:14

Step-by-step explanation:

1) brackets (5+4)=9

2)division: 9/3=3

3)multiplications: 6*3=18

4)sum:18+3=21

5)substraction 21-7=14

The domain of f(x) is all real numbers, or (-∞, ∞). and the domain of f⁻¹(x) is all real numbers less than 2, or (-∞, 2).

The collection of all potential input values (also known as the independent variable) for which the function is defined and yields an acceptable output value is known as the domain of a function (also called the dependent variable). Depending on the situation and the type of function—such as intervals, sets, or inequalities—the domain can be expressed in a variety of ways.

The collection of all potential input values—also known as the independent variable—for which a function may be defined is known as the domain of the function.

f(x) = 2 - eˣ, the function is defined for all real numbers.

Therefore, the domain of f(x) is all real numbers, or (-∞, ∞).

To find the domain of the inverse function:

Substitute f(x) = y and rewrite the function:

y = 2 - eˣ

Subtracting 2 from both sides:

y - 2 = -eˣ

Multiplying by -1 and taking the natural logarithm of both sides:

ln(2 - y) = x

f⁻¹(x) = ln(2 - x)

The natural logarithm function is defined only for positive input values, we must have:

2 - x > 0

x < 2

Therefore, the domain of f⁻¹(x) is all real numbers less than 2, or (-∞, 2).

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From the given information provided, the inequality that is correct is 1.29p + 2.25c ≤ 10. Hence, option b is correct.

The inequality that represents this situation is:

1.29p + 2.25c ≤ 10

An inequality is a mathematical statement that compares two values, expressing that one value is less than, greater than, less than or equal to, greater than or equal to, or not equal to another value.

This inequality states that the cost of p packages of paper plates at $1.29 per package plus the cost of c packages of plastic cups at $2.25 per package must be less than or equal to $10.

So, if Roger wants to spend less than $10 on the paper plates and plastic cups, he must satisfy this inequality.

Question - Rodger is going to the store to buy paper plates and plastic cups for a party the store sells paper plates for $1.29 each package and plastic cups for $2.25 each package. if p represents the number of packages of paper plates and c the number of packages of plastic cups rodger buys. He wants to spend less than $10. Which of these inequalities represent this situation?

2.25p+1.29c≤10

1.29p+2.25c≤10

2.25p+1.29c<10

1.29p+2.25c<10

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Answer:

A = 3 , B = 4

Step-by-step explanation:

given (2, - 4 ) is a solution , then x = 2 and y = - 4 make the system true

substitute x = 2 , y = - 4 into the equations and solve for A and B

2A + 2(- 4) = - 2

2A - 8 = - 2 ( add 8 to both sides )

2A = 6 ( divide both sides by 2 )

A = 3

and

5(2) - B(- 4) = 26

10 + 4B = 26 ( subtract 10 from both sides )

4B = 16 ( divide both sides by 4 )

B = 4

The image coordinates of K′ if the preimage is reflected across y = −7 is (-4, -8)

Based on the given question, we have certain variables that can be utilized for our calculations.

K = (-4, -6)

First, find the equation of the reflection line

The reflection line is y = -7.

This can be expressed as

y = a = -7

The image of the reflection is then calculated as

K' = (x, -(y + 2|a|))

Replace the given or established values in the equation mentioned earlier, resulting in the following expression

K' = (-4, -(-6 + 2 * 7))

Evaluate

K' = (-4, -8)

Hence, the image coordinates of K′ are (-4, -8).

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Answer:

PQ+QN

Step-by-step explanation:

P*Q + Q*N

this is ans

the car is approximately [tex]23.9[/tex] Meters away from the tower.

The angle of depression is the angle formed when an object is observed from a horizontal line and the horizontal line.

We can solve this problem using trigonometry. Let's start by drawing a diagram:

C

|\

| \

|  \   32m

|   \

|    \

|     \

|      \

|-------T

  x

In the diagram, T represents the top of the tower, C represents the car, and x represents the distance from the tower to the car that we want to find. The angle of depression from the top of the tower to the car is 55 degrees.

We can use the tangent function to solve for x:

[tex]tan(55) = 32 / x[/tex]

To solve for x, we can rearrange this equation as follows:

[tex]x = 32 / tan(55)[/tex]

We can calculate this expression's value by using a calculator to obtain:

[tex]x =23.9[/tex] meters

Therefore, the car is approximately [tex]23.9[/tex] Meters away from the tower.

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The image was made by translating 5 units down, 5 units up, 1 unit down, and 1 unit up. ABCD and A'B'C'D' are two polygons on the chart.

The first polygon, ABCD, has vertices at (1,- 1), (3,- 5), (7,- 5), and (8,- 5). (5,- 1). The vertices of the second polygon, A'B'C'D', are situated at (1,- 6), (3,- 10), (7,- 10), and (8,- 10). (5,- 6).

Vertices are points in a geometric figure that characterize its shape. A vertex is characterized numerically as the intersection of at least two lines, edges, or curves.

We can look at the coordinates of the two polygons to decide the translation that was used to make the image. The first coordinate of the two polygons is (1,- 1) and the second coordinate is (1,- 1). (1,- 6). The y-coordinate contrast is 5 units, so the translation is 5 units down. The two polygons' second coordinate is (3,- 5) and (3,- 10). The y-coordinate contrast is 5 units, so the translation is 5 units down.

The second polygon's third coordinate is (7,- 5) and (7,- 10). The y-coordinate distinction is 5 units, so the translation is 5 units down. (5,- 1) is the fourth coordinate of the two polygons (5,- 6). The y-coordinate contrast is 5 units, so the translation is 5 units down.

The image was translated as 5 units down, 5 units up, 1 unit down, and 1 unit up.

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The volume of a sphere is given by the formula V = 4/3πr³.This means that the volume of the sphere with a radius of 6 inches and a height of 12 inches is 288π cubic inches.

The volume of a sphere is given by the formula V = 4/3πr³, where r is the radius of the sphere. In this case, we are given that the radius of all three shapes (sphere, cylinder, and cone) is 6 inches, and the height of all three shapes is 12 inches. We also know that the volume of the cone is 144π cubic inches, and the volume of the cylinder is 432π cubic inches. Therefore, we can solve for the volume of the sphere by subtracting the volume of the cone and the cylinder from each other: V = 432π - 144π = 288π cubic inches. This means that the volume of the sphere with a radius of 6 inches and a height of 12 inches is 288π cubic inches.

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Answer:

answer: c

this are not polynomials

Mrs. Roger's class sold 21 soda bottles, and Mrs. Magoo's class sold 42 candy bars ,Mrs. Roger's class earned more money. Mrs. Roger's class earned $52.50, while Mrs. Magoo's class earned $50.40. Therefore, Mrs. Roger's class earned $2.10 more than Mrs. Magoo's class.

(a) Let x be the number of soda bottles sold by Mrs. Roger's class, and y be the number of candy bars sold by Mrs. Magoo's class. We can create a system of equations based on the information given:

Equation 1: 2.5x + 1.2y = 102.9 (the total amount earned by both classes)

Equation 2: x + y = 63 (the total number of items sold by both classes)

To solve for x and y, we can use substitution or elimination method. Using substitution, we can solve for x in Equation 2: x = 63 - y. Then we substitute this value of x in Equation 1:

2.5(63-y) + 1.2y = 102.9

Simplifying and solving for y, we get:

157.5 - 2.5y + 1.2y = 102.9

-1.3y = -54.6

y = 42

Substituting y=42 in Equation 2, we get:

x = 63 - y = 63 - 42 = 21

Therefore, Mrs. Roger's class sold 21 soda bottles, and Mrs. Magoo's class sold 42 candy bars.

(b) To find out which class earned more money, we can calculate the total earnings for each class:

Mrs. Roger's class: 2.5(21) = $52.50

Mrs. Magoo's class: 1.2(42) = $50.40

Mrs. Roger's class earned more money.

(c) Mrs. Roger's class earned $52.50, while Mrs. Magoo's class earned $50.40. Therefore, Mrs. Roger's class earned $2.10 more than Mrs. Magoo's class. This could be because the price per item for soda bottles was higher than for candy bars. Additionally, it's possible that the students in Mrs. Roger's class were more motivated to sell their items or had a larger network of potential buyers. The $2.10 difference may seem small, but it can add up over time and can make a difference in achieving the fundraising goals for the school.

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{6, 19, 23} can represent the three sides of a triangle.

Triangular numbers are a sequence of numbers that can be represented in the form of an equilateral triangle, with each row having one more element than the previous row. The first few triangular numbers are:

1, 3, 6, 10, 15, 21, 28, 36, 45, 55.

To determine whether the set {6, 19, 23} can represent the sides of a triangle, we need to check if the sum of the two smaller sides is greater than the largest side:

6 + 19 >

6 + 23 >

23 + 19 >

All three inequalities hold, so the set {6, 19, 23} can represent the sides of a triangle.

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The approximate height of the cylindrical barrel is 23 inches.

What is volume of cylinder ?
The volume of a cylinder is the amount of space inside the cylinder. It is given by the formula:

[tex]V = \pi r^2h[/tex]

where V is the volume, r is the radius of the circular base of the cylinder, and h is the height of the cylinder.

The formula tells us that the volume of a cylinder is proportional to the square of the radius and the height. This means that if we double the radius or the height, the volume of the cylinder will be multiplied by a factor of 4.

According to the question:

Let's start with the formula for the volume of a cylinder:

[tex]V = \pi r^2h[/tex]

where V is the volume, r is the radius, and h is the height.

We know that the barrel holds 10,164 cubic inches of oil, which is equal to 44 gallons. Since 1 gallon is equal to 231 cubic inches, we can convert the volume to cubic inches:

10,164 cubic inches = 44 * 231 cubic inches/gallon = 10,164 cubic inches.

So, we have:

V = 10,164 cubic inches

r = unknown

h = 23 inches

We can solve for the radius by rearranging the formula:

r = sqrt(V / (πh))

Substituting the values we have:

r = sqrt(10,164 / (π * 23))

r ≈ 8.25 inches

Therefore, the approximate height of the barrel is 23 inches.

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After answering the given query, we can state that  Cοnsequently, the area mοsaic has a surface size οf 1176cm².

An area is a measure οf a regiοn's extent οn a surface. The term "surface area" refers tο the area οf an οpen surface οr the perimeter οf a three-dimensiοnal οbject, whereas "planar regiοn" οr "planar regiοn" refers tο the area οf a shape οr planar layer.

The area οf an οbject is the entire vοlume οccupied by its planar (2-D) surface οr shape. On a sheet οf paper, make a square with a pencil. a twο-dimensiοnal figure. On paper, a shape's area is the amοunt οf rοοm it οccupies. Cοnsider that the square is made up οf smaller unit squares.

Since each tile is a right triangle, its area can be calculated by multiplying its limb lengths by twο and dividing by three:

Each blοck has an area οf (7 x 4 cm)/2, οr 14 cm2.

The mοsaic's οverall surface area is because there are 84 pieces in it:

(Area οf each piece) x = tοtal mοsaic area (Number οf tiles)

The mοsaic's tοtal size is 14 cm² times 84, οr 1176 cm².

Cοnsequently, the mοsaic has a surface size οf  1176 cm²

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We can use the formula for the area of a rectangle, which is:

Area = length x width

We know that the area of Mr. Baker's yard is 1,472 square feet, and the width is 32 feet. So we can substitute these values into the formula and solve for the length:

1,472 = length x 32

Dividing both sides by 32, we get:

length = 1,472 / 32 = 46

Therefore, the length of Mr. Baker's yard is 46 feet.

Answer:Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.

Step-by-step explanation:

Answer:

P:192

A:2048

B. Area

C. Perimeter

Step-by-step explanation:

Answer: [tex]\frac{8b^{5} }{a^{2} }[/tex]

Step-by-step explanation:

[tex]\frac{(-2ab^{2})^{4} }{2(a^{2}b)^{3} }[/tex]

To raise a product to a power, raise each factor to that power

[tex]\frac{16a^{4}b^{8} }{2(a^{2}b)^{3} }[/tex]

To raise a product to a power, raise each factor to that power

[tex]\frac{16a^{4}b^{8} }{2a^{6}b^{3} }[/tex]

Cancel out the common factor 2

[tex]\frac{8a^{4}b^{8} }{a^{6}b^{3} }[/tex]

Simplify the expression

[tex]\frac{8a^{4}b^{5} }{a^{6} }[/tex]

Simplify the expression

[tex]\frac{8b^{5} }{a^{2} }[/tex]

Answer:

B. 100^6/7

Step-by-step explanation:

7th root is 1/7

(100^6)^1/7

multiply the exponents

6 * 1/7 = 6/7

Answer:

The sum of two mixed numbers is not always a mixed number.

A mixed number is a number that is made up of a whole number and a fraction.

.

In response to the given question, we can state that As a result, graphs f(-1) = 2 and f(1) = -3.

Mathematicians use graphs to visually express or chart facts or values. A graph point will often represent a relationship between two or more objects. A graph, a non-linear data structure, is made up of nodes, or vertices, and edges. Glue the nodes (also known as vertices) together. This graph includes vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5). (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, and so on) are graphical representations of exponential growth. a triangle-shaped logarithmic graph.

We may evaluate the function for the provided input values using the graph as follows:

f(-1) = 2. The y-coordinate of the spot on the graph where the vertical line x = -1 crosses the function represents the function's value when x = -1. We can see from the graph that this point is (x=-1, y=2), hence f(-1) = 2.

f(1) = -3. The y-coordinate of the spot on the graph where the vertical line x = 1 crosses the function represents the value of the function when x = 1. We can see from the graph that this point is (x=1, y=-3), hence f(1) = -3.

As a result, f(-1) = 2 and f(1) = -3.

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-8 -12

Step-by-step explanation:

trust me

No, he is not correct.

$103.55 is the minimum, not maximum, amount that he should save. If he adds the $103.55 to his current total, he can only by the least expensive model. However, he may want to buy more than that model.

Therefore, Vince is not correct because he should have interpreted the solution as having to save a minimum of $103.55.

Answer:

1. 4 zoos

2. option B

Step-by-step explanation:

1. There are 10 zoos. one axis shows no of penguins and the other shows no of visitors. Just count the crossing between 800 and 1000.

2. The highest number of height here is 48cm. so the axis should be between 0 and 50 to avoid unnecessary mistakes

Answer:

a) x=45°

b) yes because both ∠DAB and ∠ABC are perpendicular to the same line segment, they most be parallel.

Step-by-step explanation:

a) all quadrilaterals have internal angels that add up to 360°

So ∠DAB + ∠ABC + ∠BCD + ∠CDA = 360°. Substituting each ∠ with its given value gives:

2x°+90°+x°+3x°=360°

Simplifying:

-> 90°+6x=360°

Subtracting 90°:

-> 6x=270°

Dividing by 6:

-> x=45°

Substituing back:

∠DAB=2x=2*45°=90°

∠ABC=90°

∠BCD=x=45°

∠CDA=3x=3(45)=135°

b) Yes because both ∠DAB and ∠ABC intersect the line segment AB at 90° angles/both ∠DAB and ∠ABC are perpendicular to the line segment AB. Because both ∠DAB and ∠ABC are perpendicular to the same line segment, they most be parallel.

The required number of posts Patrick needs to paint 32 fence posts.

A closed route that encompasses, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's diameter is referred to as its perimeter. There are numerous uses in real life for circle calculations.

The perimeter of the corral is the sum of the lengths of its sides:

P = 2L + 2W = 2(50ft) + 2(30ft) = 100ft + 60ft = 160ft

Since the fence posts are spaced 5 feet apart, we can divide the perimeter by 5 to find the number of posts:

160ft ÷ 5ft/post = 32 posts

Therefore, Patrick needs to paint 32 fence posts.

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From the fraction given, we found that the total length of Jane's drive is 9 miles.

What is a fraction?

Fractions are referred to as the components of a whole in mathematics. A single object or a collection of objects might be whole. Every number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English. It can be a fraction or a segment of any amount out of a whole, where the entire can be any quantity, a certain amount, or an object. The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Let the total distance be x.

Given the fraction of distance covered = 2/3 of x

This is given as 6 miles.

So equating,

2/3 * x = 6

x = 6* 3/2 = 3 * 3 = 9 miles.

Therefore from the fraction given, we found that the total length of Jane's drive is 9 miles.

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The amount of wood needed to make 50 sticks is 234 3/8 inches.

A fraction is a mathematical concept used to express a portion of a whole or a non-whole integer. Two numerals are stacked on top of one another and are divided by a horizontal line. The top number is referred to as the numerator, while the bottom number is referred to as the denominator. The numerator denotes the total number of parts that the whole is divided into, while the denominator denotes the number of pieces that are taken into consideration.

Given that, each stick is 4 1/2 inches long, so:

50 x 4 1/2 = 225 inches

The waste allowance of 3/16 inch for each stick. For 50 sticks, the total waste would be:

50 x 3/16 = 9 3/8 inches

he total length of wood required for 50 sticks with the waste allowance is:

225 + 9 3/8 = 234 3/8 inches

Hence, the amount of wood needed to make 50 sticks is 234 3/8 inches.

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Answer:

A - acute

Step-by-step explanation:

All the sides are equal and all angles are acute, meaning less than 90 degrees.

Answer:

Step-by-step explanation:

bts v i love them

Answer:

18m

Step-by-step explanation:

its 18m