wich one is the solution???: 4(2x-1)=-3x+32


i dont understand this thing....

Using the equation 't = d/v', where 'd' is distance and 'v' is velocity, the time 't' for a dragonfly to fly 50 feet at 25 feet per second is calculated to be 2 seconds.

To find the time it takes for a dragonfly to fly a distance of 50 feet at a speed of 25 feet per second, we can use the formula d = vt, where d is the distance, v is the velocity (speed), and t is the time. To solve for time (t), we rearrange the formula to t = d/v.

So, plugging in the values:

We get:

t = d/v = 50 feet / 25 feet/second = 2 seconds

The dragonfly takes 2 seconds to fly 50 feet at a speed of 25 feet per second.

[tex] |\Omega|=4\cdot12=48\\
|A|=3\cdot3.14\cdot2^2=37.68\\\\
P(A)=\dfrac{37.68}{48}\approx0.79 [/tex]

Answer: 77.9

Step-by-step explanation: .

Final answer:

To determine the total area of the mural, we calculate the area of one student's square, which is 100 square inches, and multiply by the total number of squares in the mural, resulting in 2500 square inches for the total area.

Explanation:

Mrs. Deaton's 6th grade class is working on a mural where each student contributes a square with a side length of 10 inches. The mural will be arranged in a larger square with five student squares along each side. To determine the total area of the mural, we will calculate the area of one student's square and then multiply by the total number of squares.

First, the area of one student's square is found by squaring the side length:

Area of one square = side length × side length = 10 inches × 10 inches = 100 square inches.

Since the mural is a square consisting of 5 student squares on each side:

Total number of student squares = 5 × 5 = 25 squares.

Finally, to find the total area of the mural, we multiply the area of one square by the total number of squares:

Total area of mural = area of one square × total number of squares = 100 square inches × 25 = 2500 square inches.

The total area of the mural is 2500 square inches.

Part A: The average rate of change of section A is 12 and that of B is 300.

Part B: The average rate of change of Section B is 25 times greater than that of Section A due to the exponential nature of the function h(x).

Explaining the average rate of change for two sections and comparing their values in an exponential function context,

One rate of change is greater than the other because of the exponential growth nature of the function. The function h(x) = 3 [tex](5)^x[/tex] is an exponential function, and the rate of change increases rapidly as x increases, leading to a much greater average rate of change for Section B than Section A.

The question is:

Given the function h(x) = 3 [tex](5)^x[/tex], Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

Part A: Find the average rate of change of each section.

Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other.

The distance between the first base and third base in the given problem is 127.28 feet.

Distance is a measure of how far apart two objects are. It's a scalar quantity, which means that it has magnitude but no direction. The distance between two points can be gauged in various ways, including using a ruler, a tape measure, or a laser rangefinder. The primary difference between the distance and the displacement is that the latter has the direction but not the former.

As evident from the figure,

the running track is a square.

So, all the sides are equal to each other in length.

So, the distance between the first base and the second base is equal to the distance between that of the second base and the third base which is equal to 90 feet.

Let us name the square ABCD.

Join vertex A and vertex D.

The triangle ABC is the right-angled isosceles triangle.

So, by Pythagorean Theorem,

[tex]\sqrt{AC^2}[/tex] = [tex]\sqrt{AB^2+BC^2}[/tex]

          = [tex]\sqrt{90^2 + 90^2}[/tex]

          = [tex]\sqrt{8100+8100}[/tex]

          = [tex]\sqrt{16200}[/tex]

          = 127.28 (approximately)

So, the first base and third base are 127.28 feet apart.

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Answer:

4to5 and 3to7

Step-by-step explanation:

:)hope this helped

Answer: 18 - apex

Step-by-step explanation:

The volume of the box if it is scaled down by a factor of 1/10 is 27 cubic inches.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, Length: 9 in, Width: 3 in and Height: 10 in

We know that, the volume of a cuboid is Length×Width×Height

Here, the volume of a box = 9×3×10

= 270 cubic inches

It is scaled down by a factor of 1/10

Now, 1/10 ×270

= 27 cubic inches

Therefore, the volume of the box if it is scaled down by a factor of 1/10 is 27 cubic inches.

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

What is the volume of the box if it is scaled down by a factor of 1/10? Length: 9 in, Width: 3 in and Height: 10 in

Answer:

false

Step-by-step explanation:

fr ong

The probability of randomly choosing a blue marble, not replacing it, and then choosing a green marble is,

⇒ 2 / 19

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A jar contains 5 blue marbles, 7 yellow marbles, and 8 green marbles.

Hence, Number of marbles = 5 + 7 + 8 = 20

Thus, the probability of randomly choosing a blue marble is,

⇒ 5 / 20

⇒ 1 / 4

And, the probability of randomly choosing a green marble is,

⇒ 8 / 19

Thus, the probability of randomly choosing a blue marble, not replacing it, and then choosing a green marble is,

⇒ 1/4 × 8/19

⇒ 2 / 19

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Answer:

And.Each Trip will have to take 41.667kilograms

Step-by-step explanation:

1/6×1000÷4=41.6666667

The perimeter of the right triangle WXY is 60 units.

To find the perimeter of a right triangle WXY, we need to know the lengths of the two legs. Given that the radius of the circle is 4 units and WY is 20 units, we can determine that the hypotenuse, XY, is equal to 20 units. So the perimeter of the triangle is the sum of the lengths of its three sides: 20 + 20 + 20 = 60 units.

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We calculate the perimeter of the right triangle by first finding the lengths of the legs using the Pythagorean theorem and the given radius, then summing these lengths with the hypotenuse.

The subject of this question is Geometry, specifically involving the calculation of the perimeter of a right triangle. In a right triangle, the lengths of the three sides follow the Pythagorean theorem, written as [tex]a^2 + b^2 = c^2[/tex], where c is the hypotenuse and a and b are the lengths of the other two sides.

Here, the length of the hypotenuse WY is given as 20 units. In a right-angled triangle, where a circle is inscribed, the radius of the circle is equal to half the sum of the two legs of the triangle (radius = (a+b)/2). In this case, the radius is given as 4 units. Thus, the total of the two legs a and b is 8 units.

The Pythagorean theorem can now be used to solve for a and b, knowing that [tex]a^2 + b^2 = 20^2[/tex] and a + b = 8; then to find the perimeter, sum the hypotenuse and the lengths of the legs, i.e. Perimeter = a + b + c.

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Two pairs of fractions that meet the criteria are 3/4 and 1/4, and 5/6 and 1/3, as the difference of each pair reduces to 1/2.

Finding two fractions with a difference of 1/2 where neither denominator is equal to 2 requires a bit of trial and error. An example of this could be the two fractions 3/4 and 1/4. If you subtract 1/4 from 3/4, you get 2/4, which reduces to 1/2. This meets the requirements of the question as neither denominator is equal to 2 and the difference of the two fractions is 1/2.

For another example, consider the fractions 5/6 and 1/3. Subtract 1/3 from 5/6, and your result is 3/6, which likewise reduces to 1/2. Again, this answer meets the criteria set by the question.

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Set of sides that will make right triangle is

Set 4 : 12 ft, 16 ft, 20 ft

Pythagoras theorem states that in a right angled triangle square of the hypotenuse is equal to the sum of the square of perpendicular and square of base. The longest side is the hypotenuse.

Given measurements

Set 1:

4cm , 5cm , 6cm

By Pythagoras theorem

4² + 5² = 6²

16 + 25 = 36

41 ≠ 36

Pythagoras theorem is not satisfied,

this set of sides will not make right triangle

Set 2

8 in., 12 in., 20 in.

By Pythagoras theorem

8² + 12² = 20²

64 + 144 = 400

208 ≠ 400

Pythagoras theorem is not satisfied,

this set of sides will not make right triangle

Set 3

10 mm, 20 mm, 30 mm

By Pythagoras theorem

10² + 20² = 30²

100 + 400 = 900

500 ≠ 900

Pythagoras theorem is not satisfied

this set of sides will not make right triangle

Set 4

12 ft, 16 ft, 20 ft

By Pythagoras theorem

12² + 16² = 20²

144 + 256 = 400

400 = 400

Pythagoras theorem is satisfied

this set of sides will make right triangle.

Hence, Set 4 of sides 12 ft, 16 ft, 20 ft will form a right triangle.

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