Ask question

Ask question

All categories

3 years ago

5

Pls help me with my practice quiz

1 answer:

hjlf3 years ago

8 0

Answer:

its C

Step-by-step explanation:

You might be interested in

Simplify the expression.<br><br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B1%2B%5Csqrt%7B3%7D%20%7D" id="TexFormula1" t

REY [17]

Answer:

Step-by-step explanation:

Rationalize the denominator by multiplying both denominator & numerator by the conjugate of the denominator.

Conjugate of the denominator 1 + √3 is 1 - √3

$\frac{6}{1+\sqrt{3}}=\frac{6(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\=\frac{6(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\=\frac{6(1-\sqrt{3})}{1^{2}-(\sqrt{3})^{2}}\\\\=\frac{6(1-\sqrt{3})}{1-3}\\\\=\frac{6(1-\sqrt{3})}{-2}\\\\=(-3)(1-\sqrt{3})\\\\=-3+3\sqrt{3}$

3 0

3 years ago

The numbers of teams remaining in each round of a single-elimination tennis tournament represent a geometric sequence where an i

Anit [1.1K]

Answer:

$a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}$

Step-by-step explanation:

We are given the following in the question:

The numbers of teams remaining in each round follows a geometric sequence.

Let a be the first the of the geometric sequence and r be the common ration.

The $n^{th}$ term of geometric sequence is given by:

$a_n = ar^{n-1}$

$a_4 = 16 = ar^3\\a_6 = 4 = ar^5$

Dividing the two equations, we get,

$\dfrac{16}{4} = \dfrac{ar^3}{ar^5}\\\\4}=\dfrac{1}{r^2}\\\\\Rightarrow r^2 = \dfrac{1}{4}\\\Rightarrow r = \dfrac{1}{2}$

the first term can be calculated as:

$16=a(\dfrac{1}{2})^3\\\\a = 16\times 6\\a = 128$

Thus, the required geometric sequence is

$a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}$

4 0

3 years ago

If a car travels at an average speed of x miles per hour, how far would the car travel in 90 minutes ?

antiseptic1488 [7]

Answer:

(1.5)x

Step-by-step explanation:

90 minutes = 1.5 hours therefore

if car travels x miles in 1 hour

then the care has to travel (1.5)x miles in 90 minutes

6 0

3 years ago

Read 2 more answers

Determine whether ab is parallel to cd

shtirl [24]

Answer:

Yes, it is.

Step-by-step explanation:

When alternate interior angles (∠ABC and ∠BCD) are congruent, it means the lines are parallel.

8 0

3 years ago

Read 2 more answers

-7 2/3 + (-5 1/3) + 8 3/4=?<br> A: 6 7/12<br> B: -4 5/12<br> C: -21 11/12<br> D: 4 2/3

balandron [24]

Its B

Hope this helps!

May I have brainliest please? :D

4 0

3 years ago

Read 2 more answers