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1 year ago

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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Four more than a number squared by eight

Romashka [77]

Answer:

Step-by-step explanation:

4+8*8

6 0

3 years ago

Read 2 more answers

Pls answer this last question in full method

Vaselesa [24]

Answer:

if the sum of two angles is 90° they are said to be complementary

If one angle is x

the other should be (90 - x)°

so the complementary angle of x is (90 - x)

5 0

3 years ago

Mashcka [7]

To solve this we are going to use the formula for compounded interest: $A=P(1+ \frac{r}{n})^{nt}$
where
$A$ is the final amount after $t$ years
$P$ is the initial amount
$r$ is the interest rate in decimal form
$n$ is the number of times the interest is compounded per year
$t$ is the time in years

We know for our problem that $P=1380$ , $r= \frac{5}{100} =0.05$ , and $t=3$ . Since the interest is compounded daily, it is compounded 365 times in year; therefore, $n=365$ . Lets replace those values in our formula to find $A$ :
$A=P(1+ \frac{r}{n})^{nt}$
$A=1380(1+ \frac{0.05}{365})^{(365)(3)}$
$A=1603.31$

We can conclude the amount in Diane's after 3 years will be <span>$1,603.31</span>

4 0

3 years ago

A basketball coach will select the members of a five-player team from among 9 players, including John and Peter. If the five pla

vivado [14]

Answer:

Step-by-step explanation:

Given that a basketball coach will select the members of a five-player team from among 9 players, including John and Peter.

Out of nine players five are chosen at random.

The team consists of John and Peter.

Hence we can sort 9 players as I group, John and Peter and II group 7 players.

Now the selection is 2 from I group and remaining 3 from II group.

Hence no of ways of selecting a team that includes both John and Peter= $2C2*7C3$ =35