Is there a direct proportion in 2y-5=x? If there is one, what is the constant of proportionality?

Answer:

1. x is 7 more than y

meaning

x=y+7

2. x is 1 less than y

meaning

x=y-1

so

the answer:

x = y + 7

x = y – 1

Final answer:

A relation where each domain value is mapped to a single, unique range value is considered a function. The relation in question is indeed a function because each domain value corresponds to only one range value, and its correctness is supported by the distinct pairs of the domain and range. The correct answer is option (B)

Explanation:

To determine whether a given relation is a function, we check if each element of the domain maps to exactly one element of the range. The relation in question is composed of the following ordered pairs: (-3, -2), (-1, 0), (1, 0), (5, -2). The domain (which consists of the first elements of the ordered pairs) includes -3, -1, 1, and 5, and the range (the second elements) includes -2, 0.

A crucial aspect of a function is that each domain value is paired with a unique range value. Here, we see that no domain value is repeated; hence, none of them map to more than one range value. This satisfies the criterion for a function. However, it is not a problem that a range value, like -2, appears more than once in the relation as long as it corresponds to different domain values.

Based on this, the correct answer would be "B. yes- only one range value exists for each domain value" because each domain value is associated with one and only one range value, which is the definition of a function.

Answer:

162

Step-by-step explanation:

There are 21 out of 70 people that like the monkey exhibit. So you divide that and get 0.3 or 3/10. Then you have to multiply that by 540. This gets you to 162 which is the answer to your problem.

Answer:

Belinda will get $25 from her insurance company when she files her claim.

Step-by-step explanation:

Comprehensive insurance covers your car from damage from fire, theft or falling objects like trees etc.

To get the claim, the company will check the worth of the GPS system in the market minus the deductible amount.

So, the cost of GPS system was $400. And comprehensive deductible is $375.

So, Belinda will receive [tex]400-375=25[/tex] dollars

The answer is: Belinda will get $25 from her insurance company when she files her claim.

Final answer:

The average distance for all segments of the flower shop deliveries trip is calculated to be 14.5 miles.

Explanation:

To calculate the average distance travelled for all segments of the trip, we first convert each distance to an improper fraction or decimal for ease of calculation and then find the sum of all the segments.

After this, we divide the total distance by the number of segments.

The distances given are:

The total distance travelled is the sum of all these distances:

12.333... + 8.75 + 17.25 + 23.666... + 10.5 = 72.5 miles

There are 5 segments in the trip, so to find the average, we divide 72.5 miles by 5:

72.5 miles / 5 = 14.5 miles

Therefore, the average distance for all segments of this trip is 14.5 miles.

To calculate the slant height of a cone with a diameter of 15 yards and lateral area of 287.5 square yards, divide the lateral area by the product of pi and the radius of the base. The slant height is approximately 12.3 yards when rounded to the nearest tenth.

To find the slant height of a cone with a known lateral area, we use the formula for lateral surface area of a cone: L = \\(\pi\\)r\ell, where L stands for lateral area, r for radius of the base, and \ell for the slant height. Given the diameter of 15 yards, we first calculate the radius as half the diameter, which is 7.5 yards. The equation with the given lateral area (287.5 square yards) would look like this: 287.5 = \\(\pi\\) \\times 7.5 \\times \ell. Solving for \ell, we divide the lateral area by \\(\pi\\) times the radius:

\ell = 287.5 / (\\pi \\times 7.5)

To get an approximate value, we use \\(\pi\\) = 3.1416:

\ell \\approx 287.5 / (3.1416 \\times 7.5)

\ell \\approx 12.27 yards

Thus, the slant height of the cone is approximately 12.3 yards when rounded to the nearest tenth.

Answer:

Step-by-step explanation:

A. 1). Area of the rectangle = length×width = 11×8 = 88 cm²

Perimeter = 2(18+11) = 58 cm

2).Area of a parallelogram = length×height = 24×16 = 384 ft²

Perimeter = 2(19+24) = 2×43 = 86 ft

3). Area of a right angle triangle = (1/2)×base×height = (1/2)×12×9 = 54 in²

Perimeter = (9+12+15) = 36 in

4). Area of a triangle = (1/2)×Base×height = (1/2)×21×19 = 199.5 m²

Perimeter = (20+21+23) = 64 m

5). Area of an obtuse angle triangle = (1/2)×height×base = (1/2)×2.9×2.4 = 2.9×1.2 = 3.48 cm²

Perimeter = (2.9+2.4+4.5) = 9.8 cm

6). Area of a parallelogram = base × height = 56×90= 5040 ft²

Perimeter = 2(56+100) = 2×156 = 312 ft

B. 7). Area of the shaded area = (27×27 - 12×12) = 729-144 = 585 in²

8). Area of the shaded area = 10(9+7) - (1/2)×10×9 = 160 - 45 = 115 cm²

9). Area of the shaded area = 50×53 - 25×23 = 2650 - 575 =2075 ft²

10). Area of the shaded area = 10×13 - (1/2)×6×8 = 130 - 24 = 106 m²

11). Area of the shaded area = 18×18 - (1/2)×18×9 = 324 - 81 =243 in²

12). Area of the shaded area = 11×17 - (1/2)×11×17 = (1/2)×11×17 = 93.5 cm²

The wrong statement about a circle is c. Every chord is a diameter

Circles are two-dimensional builds which are sets of equidistant points at a point called the center point

The distance of these points to the center is called the radius of the circle. While the circle field is an area which is bounded by a circle

There are terms - terms commonly used in circles:

Let we see the answer choices :

Right, because secant itself is an extension of the chord

Right, because the diameter itself also intersects the circle at two points on the circle, just like secant

Incorrect, because the diameter itself must pass through the center point while the chord does not have to

Right, because each diameter intersects a circle at two different points

So the wrong statement is C. Every chord is a diameter

circumference

https://brainly.com/question/8929610

circle transformations

https://brainly.com/question/9138203

the arc length of a segment of a circle

https://brainly.com/question/10528925

Keywords: circle, secant, diameter, chord

Every chord is a diameter is false. Option (c) is false.

Further explanation:

Given:

The statements are as follows,

(a). Every chord is a part of a secant

(b). Every diameter is a part of secant

(c). Every chord is a diameter

(d). Every diameter is a chord

Explanation:

Diameter is a distance between the points that passes through the center of the circle.

The distance between the two points on the circle is known as the chord. The longest chord is the diameter of the circle.  

Radius is line segment to a point from the center of the circle and the radius is half of the diameter.

Secant is a straight line that intersects two points on the circle.

Every chord is a diameter is false. Option (c) is false.

Statement (a) is true.

Statement (b) is true.

Statement (c) is false.

Statement (d) is true.

Learn more:

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Triangles

Keywords: false, chord, part, secant, radius, diameter, Every chord is a part of a secant, Every diameter is a part of secant, Every chord is a diameter, Every diameter is a chord.

Answer:

The next number is 127

Step-by-step explanation:

The sequence is the previous number times 2 plus one.

Starting from -4 and applying a series of moves (+3, -2, +6, -5) sequentially on the number line, the final position of Point x is -2.

The question involves finding the final position of Point x after a series of moves on a number line. Starting from -4, we apply the moves in sequence: adding 3, subtracting 2, adding 6, and finally subtracting 5. The operations are as follows:

Therefore, the final position of Point x on the number line is -2.