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3 years ago

Most intruments produce notes across ranges called octaves which are made up of 8 notes how many octaves do 51 notes span?

Mathematics

1 answer:

mojhsa [17]3 years ago

8 0

Answer: 51 notes span 6 octaves.

Step-by-step explanation:

The word "octave" is a Latin word that means "eight".

In an instrument, Each octave is made up of 8 musical notes.

If we have 51 notes , the number of octaves can be made in it = $\dfrac{51}{8}$

$=6.375\approx6\ \ \ \ \ \text{[Rounded to the nearest whole number]}$

Hence, 51 notes span 6 octaves.

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If Free Yer Assets Bank (FYAB) will give you 0.25% compounded quarterly and I.M.A.Q.T.π bank will give you 0.23% interest compou

ivann1987 [24]

Answer:

FYAB gives a better deal.

Step-by-step explanation:

Compound interest:

$A = P(1 + \dfrac{r}{n})^{nt}$

Continuously compounded interest:

$A = Pe^{rt}$

For the quarterly compounded interest, r = 0.25%, and n = 4.

$2P = P(1 + \dfrac{0.0025}{4})^{4t}$

$1.000625^{4t} = 2$

$\log (1.000625^{4t}) = \log 2$

$4t(\log 1.000625) = \log 2$

$t = \dfrac{\log 2}{4\log 1.000625}$

$t = 277$

For the continuously compounded interest, r =0.23%

$A = Pe^{rt}$

$2P = Pe^{0.0023t}$

$2 = e^{0.0023t}$

$\ln 2 = \ln e^{0.0023t}$

$\ln 2 = 0.0023t$

$t = \dfrac {\ln 2}{0.0023}$

$t = 301$

The quarterly compounded doubles in 277 years.

The continuously compounded doubles in 301 years.

Answer: FYAB gives a better deal.

7 0

3 years ago

11. Isaac wrote two simplified expressions that were not equal to each other. Each equation also had

Elodia [21]

Answer:

The equation has only one solution

Step-by-step explanation:

* Lets explain how to solve the problem

- There are three types of solutions for the equations

Case (1)

# Two sides of the equation have different coefficient of the variable

and same or different numerical terms, then the equation has only

one solution

- Ex: 2x + 5 = x + 5, lets solve it

∵ 2x + 5 = x + 5

- subtract x from both sides

∴ x + 5 = 5

- Subtract 5 from both sides

∴ x = 0

- Zero is a solution

∴ The solution of the equation is x = 0

- If the numerical terms are different x will be any other value, so the

equation has only one solution

∴ The equation has one solution

Case (2)

# Two sides of the equation have same coefficient of the variable,

and different numerical terms, then the equation has no solution

- Ex: 14x - 20 = 14x + 10, lets solve it

∵ 14x - 20 = 14x + 10

- Subtract 14x from both sides

∴ - 20 = 10

- The left hand side not equal the right hand side , then there is

no value of x can make the two sides equal

∴ The equation has no solution

Case (3)

# Two sides of the equation have same coefficient of the variable,

and same numerical terms, then the equation has infinitely

many solutions

- Ex: 3x + 5 = 3x + 5, lets solve it

∵ 3x + 5 = 3x + 5

- Subtract 3x from both sides

∴ 5 = 5

- The left hand side is equal to the right hand side , then x can be

any value because the two sides is already equal without x

∴ The equation has infinitely many solutions

∵ He will write two expressions simplified , not equal , have different

coefficients on the variables and equate them, then it is like

the first case

- That means not same coefficient of the variable, and may be not

same numerical term

∴ The equation has only one solution

5 0

4 years ago

3a+6b-a-9b please help!

faust18 [17]

Answer: 2a - 3b
You can try rearranging it , it’ll be easier I think :)
3a + 6b - a - 9b
= 3a - a + 6b - 9b
= 2a - 3b

6 0

3 years ago

Please help meeeeeeeeeeeeeeeee please

Harman [31]

9514 1404 393

Answer:

2.1 ft³

Step-by-step explanation:

Put the given radius and height into the volume formula and do the arithmetic.

V = 1/3πr²h

V = 1/3(3.14159)(1 ft)²(2 ft) ≈ 2.094 ft³

Rounded to tenths, this is 2.1 cubic feet.

The picture cuts off your rounding requirements. If it is hundredths, you need to use 2.09 ft³. If it is thousandths, your answer will depend on the value of pi you are asked to use.

4 0

3 years ago

Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated

Illusion [34]

Answer:

$x=-2,0,3$

Step-by-step explanation:

We have been given a function $f(x)=15x^3-15x^2-90x$ . We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

$15x^3-15x^2-90x=0$

Now, we will factor our equation. We can see that all terms of our equation a common factor that is $15x$ .

Upon factoring out $15x$ , we will get:

$15x(x^2-x-6)=0$

Now, we will split the middle term of our equation into parts, whose sum is $-1$ and whose product is $-6$ . We know such two numbers are $-3\text{ and }2$ .