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yulyashka [42]
3 years ago
12

What melody was used as the basis for "My country, 'Tis of Thee"?

Mathematics
1 answer:
aleksandrvk [35]3 years ago
4 0
The melody used as the basis for “My country, ‘Tis of Thee” is God Save The King.
You might be interested in
Which two terms in (3+14) +27 could you add to get a multiple of ten? ​
Aleksandr-060686 [28]

Answer:

3 and 27

Step-by-step explanation:

<u>Step 1:  Determine which two terms we can use</u>

We have the following numbers to choose from:  3, 14, 27

Adding two numbers to get a multiple of ten means that the number that we come up with needs to be divisible by ten.  For example:  20, 30, 50, 100 are all multiples of ten.

In this example the only one that would add up to create a multiple of ten is 27 and 3 which would give us 30 which is a multiple of 10.

Answer: 3 and 27

8 0
2 years ago
Given the function () = $
elena-s [515]

The inverse of the function f(x) = 1/3x^2 - 3x + 5 is  f-1(x) = 9/2 + √[3(x + 7/4)], the sum of the arithmetic series is 1078 and the common ratio of the sequence is 2

<h3>The inverse of the function?</h3>

The function is given as:

f(x) = 1/3x^2 - 3x + 5

Next, we rewrite the function as in vertex form

Using a graphing calculator, the vertex form of the function f(x) = 1/3x^2 - 3x + 5 is

f(x) = 1/3(x - 9/2)^2 - 7/4

Express f(x) as y

y = 1/3(x - 9/2)^2 - 7/4


Swap x and y

x = 1/3(y - 9/2)^2 - 7/4

Add 7/4 to both sides

1/3(y - 9/2)^2 = x + 7/4

Multiply through  by 3

(y - 9/2)^2 = 3(x + 7/4)

Take the square root of both sides

y - 9/2 = √[3(x + 7/4)]

Add 9/2 to both sides

y = 9/2 + √[3(x + 7/4)]

Rewrite as an inverse function

f-1(x) = 9/2 + √[3(x + 7/4)]

<h3>Sum of arithmetic series</h3>

Here, we have:

5 + 18 + 31 + 44 + ... 161

Calculate the number of terms using:

L = a + (n -1)d

So, we have:

161 = 5 + (n - 1) * 13

This gives

(n - 1) * 13 = 156

Divide by 13

n - 1 = 12

Add 1

n = 13

The sum is then calculated as:

Sn = n/2 * [a + L]

This gives

Sn =13/2 * (5 + 161)

Evaluate

Sn = 1078

Hence, the sum of the arithmetic series is 1078

<h3>The common ratio of the sequence</h3>

Here, we have:

T11  = 32 * T6

The nth term of a geometric sequence is

Tn = ar^(n-1)

This gives

ar^10 = 32 * ar^5

Divide by ar^5

r^5 = 32

Take the fifth root

r = 2

Hence, the common ratio of the sequence is 2


Read more about sequence at:

brainly.com/question/7882626

#SPJ1

6 0
2 years ago
Can someone help me please
Misha Larkins [42]

Answer:

x= 13, angle 1= 37, and angle 2= 53

Step-by-step explanation:

So you have 2x+11+1+4x=90 degrees

If you simplify it, it becomes 6x+12=90 degrees

Then, you rearrange; 6x=90-12 or 6x= 78

So then, x=13

For angle 1 its 2x+11= 37 degrees

And angle 2 is 1+4x= 53 degrees

7 0
3 years ago
To make 1 batch of vegetable soup, Sam needs 16 ounces of water and 8 ounces of vegetables. How does the amount of water compare
BARSIC [14]
The amount of water is double in comparison to the amount of vegetables.
4 0
3 years ago
Can the exponent in the denominator be subtracted from the exponent in the numerator when the based are different? Explain
Vanyuwa [196]

Answer:

No, Sorry.

Step-by-step explanation:

Since the bases are different, you'll have to change them even if they have a exponent or not. If you dunno how to make the denominators the same, just multiply the two by eachother.

Example) 1/2 - 3/4

\frac{1}{2}  -  \frac{3}{4}

Multiply 2 and 4 together, and then multiply the 4 to the one also. Multiply 2 to four and also to the 3.

\frac{4}{8}  -  \frac{6}{8}

The subtract from there.

\frac{ - 2}{8}

and then Reduce (if needed.)

\frac{ - 1}{4}

4 0
3 years ago
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