What is the nth term for number sequence <br> 2;5;7;12;19

What is the capital of Africa

aalyn [17]

Africa is a continent not a country. All the countries inside Africa have their own capitals.

3 0

3 years ago

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What is the value of cos(15degrees)?

Temka [501]

Answer:

The answer is root 6 + root 2/4

Step-by-step explanation:

Cos (15)

Rewrite the expression

write (15 degrees) as a difference

cos ( 45 degrees - 30 degrees)

Expand the expression

Use cos ( t - s ) = cos (t) cos (s) + sin (t) sin (s)

to expand the expression

cos (45 degrees) cos ( 30 degrees) + sin ( 45 degrees ) sin ( 30 degrees)

calculate the expression

use the trigonometric values table or unit circle to calculate the expression

root 2/root 2 × cos (30 degrees) + sin (45 degrees) sin (30 degrees)

root 2/root 2 × root 3/root 2 + sin (45 degrees) sin (30 degrees)

root 2/ root 2 × root 3/root 2 + root 2/root 2 × sin (30 degrees)

root 2/root2 × root 3/root 2 + root 2/root 2 × 1/2

Multiply

root 2/root 2 × root 3/root 2 only

Multiply by the fractions

root 6/ root 4 + root 2/ root 2 × 1/2

Multiply root 2/ root 2 × 1/2 only

6 root / root 4 + root 2/ root 4

write all numerators above the denominator

root 6 + root 2 / 4

5 0

3 years ago

Is the simplified form of 2 square root of 3 − 2 square root of 3 rational? (1 point)

postnew [5]

<h2>Answer:</h2><h2>Yes, the simplified form of 2 square root of 3 − 2 square root of 3 is rational.</h2>

Step-by-step explanation:

The given expression is $2 \sqrt{3} - 2 \sqrt{3}$

After performing the subtraction operation, the result is 0 as the terms are equal and opposite in sign, they cancel each other.

Rational numbers are those which can be expressed in the form of fractions, decimals, e.t.c

Since 0 can be expressed as a fraction, it is a rational number.

For eg: $\frac{0}{2}$ = 0,

Hence the result of the given expression is a rational number.

7 0

4 years ago

Alliya spent $6.70 on 12 pencils at the store. Her cost included $0.46 sales tax. How much did each pencil cost before the sales

Kaylis [27]

52 cents would be the answer.

Hope this helped. Would you like me to explain how I got it?

6 0

3 years ago

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X+ 5<br> If m(x)= x+1 and n(x) = x - 3, which function has the same domain as (mºn)(x)?

Semmy [17]

Answer:

(m º n)(x) = x -2

Step-by-step explanation:

Here, in the given expression:

m(x)= x+1 and n(x) = x - 3

To find : (m º n)(x)

Now, solving for (m º n)(x)

(m º n)(x) = m (n (x)) = m (x-3)

also, m (x-3) = (x -3) + 1 = x -2

So, (m º n)(x) = x -2

8 0

3 years ago

What is the nth term for number sequence 2;5;7;12;19