1. Write a user-defined Matlab function for the following math function: y(x) = (-0.2x3 + 7x2)e-0.3x

To aid in sea navigation, Little Gull Island Lighthouse shines a light from a height of 91 feet above sea level with an unknown

algol13

Answer:

$\approx 6^\circ$

Step-by-step explanation:

Given that:

Little Gull Island Lighthouse shines a light from a height of 91 feet above the sea level.

The angle of depression is unknown.

Distance of the point at sea surface from the base of lighthouse is 865 ft.

This situation can be modeled or can be represented as the figure attached in the answer area.

The situation can be represented by a right angled $\triangle ABC$ in which we are given the base and the height of the triangle.

And we have to find the value of $\angle BAD \ or \ \angle C$ (Because they are the internal vertically opposite angles).

Using tangent ratio:

$tan\theta = \dfrac{Perpendicular}{Base}$

$tanC = \dfrac{AC}{BC}\\\Rightarrow tanC = \dfrac{91}{865}\\\Rightarrow tanC = 0.105\\\Rightarrow \angle C \approx 6^\circ$

Therefore, the angle of depression is: $\approx 6^\circ$

7 0

2 years ago

What is the following difference?

Svetllana [295]

Answer:

$-7ab\sqrt[3]{3ab^2}$

Step-by-step explanation:

Remove perfect cubes from under the radical and combine like terms.

$2ab\sqrt[3]{192ab^2}-5\sqrt[3]{81a^4b^5}=2ab\sqrt[3]{4^3\cdot 3ab^2}-5\sqrt[3]{(3ab)^3\cdot 3ab^2}\\\\=(8ab -15ab)\sqrt[3]{3ab^2}=\boxed{-7ab\sqrt[3]{3ab^2} }$

7 0

2 years ago

A school baseball team raised $810 for new uniforms. Each player on the team sold one book of tickets. There were 10 tickets and

Lena [83]

Answer:

270 tickets were sold
not needed: books per player, tickets per book

Step-by-step explanation:

To find the number of tickets sold, the total revenue needs to be divided by the revenue per ticket:

(total revenue)/(revenue/ticket) = total tickets

$810/$3 = 270 . . . total tickets

__

None of the other numbers in the problem are needed: books per player (1), tickets per book (10).

3 0

2 years ago

There are seven boys and five girls in a class. The teacher randomly selects three different students to answer questions. The f

Aleks [24]

The probability of picking one girl would be $\frac{5}{12}$ . That is because there are 5 girls out of the 12 students, and the probability of an event occuring is: $\frac{\text{# of things you want}}{\text{# of things are possible}}$ .

Using that same logic, the next student should be easier. We reduced the student population by 1, so we have 11 possible ways it can happen now instead of 12, so that gives us: $\frac{7}{11}$ , for the probability of picking a boy as the second pick.

And lastly, using the same logic shown above, the probability of picking a girl on the third pick would be: $\frac{4}{10}$ .

We are not done, though. We have the separate probabilities, but now we have to multiply then together to figure out the probability of this exact event happening:

$\frac{5}{12}*\frac{7}{11}*\frac{4}{10}=\frac{140}{1320}$

Which when reduced is:

$\frac{7}{66}$

4 0

2 years ago

Read 2 more answers

You put $1200 in an account that earns 3% simple interest. Y= a (1 + r)t Find the total amount in the account after four years.

olchik [2.2K]

Hello!

To find how much money total will be in the account after four years, you need to use the function, $y = a(1 + r)^{t}$ , as seen above. In this function, a is the starting value, r is the interest rate, and t is the amount of time (in years).

Before substituting values into the function, we need to convert 3% into a decimal. Remember that all percentages are out of 100, so we divide 3 by 100 and remove the percentage sign, or move the decimal two places to the left.

3/100 = 0.03 | 0.03 is the interest rate.

With all the necessary values, we can find the total amount in the account. In this case, a = 1200, r = 0.03, and t = 4.

$y = 1200(1 + 0.03)^{4}$

$y = 1200(1.03)^{4}$

$y = 1200(1.12550881)$

y = 1350.610572, which can be rounded to 1350.61 dollars.

Therefore, after 4 years, the total amount in the account will be about 1350.61 dollars.

6 0

2 years ago