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4 years ago

What is -7/2(-7/2+1)=413/8

Mathematics

2 answers:

frosja888 [35]4 years ago

7 0

It doesn’t work or no solution

Kitty [74]4 years ago

4 0

That’s not solvable..

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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

Factor this trinomial completely.

maxonik [38]

Answer:

2(x^2+3x+2) = 2(x+1)(x+2)

Answer is D.

Step-by-step explanation:

7 0

4 years ago

se necesita llenar un galon de agua,en 2 litros se tarda 30 minutos.cuantos litros me hacen falta para completar el galon y cual

mariarad [96]

Answer: 1.78 L are needed to complete the gallon and it will take 29.66 min to completely fill it

Step-by-step explanation:

The question in english is:

A gallon of water needs to be filled, in 2 liters it takes 30 minutes. How many liters do I need to complete the gallon and what is the time it takes me to fill it?

We know 1 gallon is equal to 3.78 liters:

$1 gal=3.78 L$

In addition, we are told you have filled the gallon with $2 L$ at a rate of $\frac{2 L}{30 min}=0.06 L/min$ .

So, if we want to know how many liters are left to completely fill the gallon, we have to sbstract the $2 L$ to the total amount of a gallon:

$3.78 L-2 L=1.78 L$ This is the amount you need to complete the gallon

On the other hand, the rate is defined as:

$rate=\frac{Liters}{time}$

Isolating $time$ :

$time=\frac{Liters}{rate}$

Then, if we input the $1.78 L$ we need to fill the gallon we will have the time:

$time=\frac{1.78 L}{0.06 L/min}$

$time=29.66 min$ This is the time you need to fill the gallon

6 0

4 years ago

A circle has its center at (1,4) and a radius of 2 units what is the equation of the circle

joja [24]

Answer: x² + y² - 2x - 8y + 13 = 0

Step-by-step explanation:

the equation of the circle is in the form (x - a)² + (y - b)² = r²

where (a,b) is the center of the circle and r is the radius

hence the equation is

(x - 1)² + (y - 4)² = 2²

x²-2x+1+y²-8y+16= 4

x²+ y² -2x- 8y + 17 =4

x² + y² - 2x - 8y = -13

x² + y² - 2x - 8y + 13 = 0

3 0

4 years ago

Read 2 more answers

Rewrite as an exponential function<br> ln9=y

Contact [7]

ln9 = y can be rewritten into an exponential function as y = e^9

8 0

3 years ago