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maria [59]
1 year ago
7

Scientists studying dolphin echolocation simulate the projection of a bottlenose dolphin's clicking sounds using computer

Mathematics
1 answer:
lina2011 [118]1 year ago
4 0

Step-by-step explanation:

The equation of a parabola with focus at (h, k) and the directrix y = p is given by the following formula:

(y - k)^2 = 4 * f * (x - h)

In this case, the focus is at the origin (0, 0) and the directrix is the line y = -1.3, so the equation representing the cross section of the reflector is:

y^2 = 4 * f * x

  = 4 * (-1.3) * x

  = -5.2x

The depth of the reflector is the distance from the vertex to the directrix. In this case, the vertex is at the origin, so the depth is simply the distance from the origin to the line y = -1.3. Since the directrix is a horizontal line, this distance is simply the absolute value of the y-coordinate of the line, which is 1.3 inches. Therefore, the depth of the reflector is approximately 1.3 inches.

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I need help with this question please I’ll mark as brainliest
Dmitriy789 [7]

Answer:

C

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (8, - 14), thus

y = a(x - 8)² - 14

To find a substitute (5, 13) into the equation

13 = a(5 - 8)² - 14

13 = a(- 3)² - 14

13 = 9a - 14 ( add 14 to both sides )

27 = 9a ( divide both sides by 9 )

a = 3

Thus

y = 3(x - 8)² - 14 → C

7 0
2 years ago
What is the slope of the line through the points (-4, 6) and (-3, -1)?
andreev551 [17]

Answer:

m= -7

Step-by-step explanation:

using the slope formula, plug in the variables and solve

m=rise/run

m=y2-y1 / x2-x1

(x1, y1) = coordinates of first point in the line

(x2, y2) = coordinates of second point in the line

4 0
2 years ago
Read 2 more answers
Please can anyone help me answer this question I'm really struggling with it
Anika [276]

Answer:

v =  {210cm}^{3}

Step-by-step explanation:

Formula for finding the volume of a triangular prism is given as:

v =  \frac{1}{2}  \times b \times h \times l

where,

b = breadth = 7cm

h = height = 6cm

l = length = 10cm

Thus,

v =  \frac{1}{2}  \times 7cm \times 6cm \times 10cm

v =  \frac{1}{2}  \times 420 {cm}^{3}

v  =  \frac{ {420cm}^{3} }{2}

v =  {210cm}^{3}

7 0
3 years ago
4x + 4y + 2z = 8
Vikentia [17]
The answer is no, because the first two equations are right but the third equation equals -16 instead of -15. So the answer is no (2,-2,4) is not the solution to all the system of equations.
5 0
3 years ago
You want to know the side length of the square swimming pool. Explain how you can use the perimeter then find the side length to
olganol [36]

Its a square pool and its perimeter is 100 yards.

We know that a square has 4 sides with the same length so we can give a square perimeter by the sum of their 4 sides

Lets call the side "l" and since we have 4 of them we need to sum it 4 times

l + l + l + l = perimeter

4l = perimeter

We know the perimeter

4l = 100

Divide both sides by 4

4l/4 = 100/4

l = 25

So the side length is equal to 25 yards

4 0
3 years ago
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