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3 years ago

The expression 2+√3 over 2-√3 is equivalent to

Mathematics

1 answer:

Dimas [21]3 years ago

4 0

$a : 11 \sqrt{3}$

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Directions: List all the factors of each number.

tatiyna

Answer:

Step-by-step explanation:

The factors of each numbers are

1) 6 = 1, 2, 3 and 6

2) 35 = 1, 5, 7 and 35

3) 19 = 1, 19

4) 39 = 1, 3, 13 and 39

5) 44 = 1, 2, 4, 11, 22 and 44

6) 64 = 1, 2, 4, 8, 16, 32 and 64

7) 56 = 1, 2, 4, 7, 8, 14, 28 and 56

8) 80 = 1, 2, 4, 8, 10, 16, 20, 40 and 80

prime numbers are whole numbers that only has two factors which are itself and one while composite numbers have more than two factors

The list of composite and prime numbers are

9) 18 composite

10) 3 prime

11) 19 prime

12) 102 composite

13) 41 prime

14) 63 composite

15) 11 prime

16) 51 composite

3 0

3 years ago

If a baseball card appreciates exponentially in value by 50% over 10 years, what is its annual appreciation (growth) rate? Pleas

Natali [406]

Using an exponential function, it is found that it's annual growth rate is of 4%.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

$A(t) = A(0)(1 + r)^t$

In which:

A(0) is the initial value.

r is the growth rate, as a decimal.

In this problem, the card appreciates exponentially in value by 50% over 10 years, hence:

A(10) = 1.5A(0).

Thus:

$A(t) = A(0)(1 + r)^t$

$1.5A(0) = A(0)(1 + r)^{10}$

$(1 + r)^{10} = 1.5$

$\sqrt[10]{(1 + r)^{10}} = \sqrt[10]{1.5}$

1 + r = 1.04.

r = 0.04.

0.04 x 100% = 4%.

It's annual growth rate is of 4%.

More can be learned about exponential functions at brainly.com/question/25537936

7 0

3 years ago

10. The perimeter of the table shown is 16 feet. Write an equation in

Aliun [14]

Answer:

p = 2

q = 6

r = 16

x = 5 feet

Step-by-step explanation:

The perimeter of the rectangle is

$P=2(\text{Width}+\text{Length})$

In your case,

Width = 3 feet

Length = x feet

So, the perimeter is

$P=2(3+x)\\ \\P=6+2x$

Since the perimeter is 16 feet, we have

$2x+6=16$

Hence,

p = 2

q = 6

r = 16

Solve this equation for x:

$2x+6-6=16-6\\ \\2x=10\\ \\x=\dfrac{10}{2}=5\ feet$

4 0

3 years ago

Can someone help me in this please???

MArishka [77]

The first one is 15 mornings

3 0

3 years ago

Read 2 more answers

Andrew owns 3 fewer DVDs than Paul. Let K represent number of Paul's DVDs. Write the expression that can be used to find the num

Julli [10]

K-3 should be the answer because andrew has 3 less than Paul.

5 0

3 years ago