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2 years ago

14

Help please... dont answer if u dont know bc this is for a grade

2 answers:

emmasim [6.3K]2 years ago

6 0

The answer is A !!!

salantis [7]2 years ago

3 0

The answer is a !!!!!

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What are the solutions to the equation x2-12x + 20 = –20?

kondaur [170]

Standard: x=4
implicit: x-4=0

3 0

3 years ago

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Given the sequence 1/2 ; 4 ; 1/4 ; 7 ; 1/8 ; 10;.. calculate the sum of 50 terms

miv72 [106K]

<u>Hint </u><u>:</u><u>-</u>

Break the given sequence into two parts .
Notice the terms at gap of one term beginning from the first term .They are like $\dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ . Next term is obtained by multiplying half to the previous term .
Notice the terms beginning from 2nd term , $4,7,10,13$ . Next term is obtained by adding 3 to the previous term .

<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>

We need to find out the sum of 50 terms of the given sequence . After splitting the given sequence ,

$\implies S_1 = \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ .

We can see that this is in <u>Geometric</u><u> </u><u>Progression </u> where 1/2 is the common ratio . Calculating the sum of 25 terms , we have ,

$\implies S_1 = a\dfrac{1-r^n}{1-r} \\\\\implies S_1 = \dfrac{1}{2}\left[ \dfrac{1-\bigg(\dfrac{1}{2}\bigg)^{25}}{1-\dfrac{1}{2}}\right]$

Notice the term $\dfrac{1}{2^{25}}$ will be too small , so we can neglect it and take its approximation as 0 .

$\implies S_1\approx \cancel{ \dfrac{1}{2} } \left[ \dfrac{1-0}{\cancel{\dfrac{1}{2} }}\right]$

$\\\implies \boxed{ S_1 \approx 1 }$

$\rule{200}2$

Now the second sequence is in Arithmetic Progression , with common difference = 3 .

$\implies S_2=\dfrac{n}{2}[2a + (n-1)d]$

Substitute ,

$\implies S_2=\dfrac{25}{2}[2(4) + (25-1)3] =\boxed{ 908}$

Hence sum = 908 + 1 = 909

7 0

2 years ago

10 to the 0 power =what pattern

Citrus2011 [14]

Any number to the power 0 is 1.

So 10^0 = 1

3 0

3 years ago

What is the common ratio of the geometric sequence pt.1

MaRussiya [10]

Answer:

The common ratio is -6

Step-by-step explanation:

The given sequence is

$\frac{1}{18},-\frac{1}{3},2,-12,...$

The common ratio can be found using any two consecutive terms of the geometric sequence.

$r=\frac{-12}{2}=-6$

The correct answer is the last choice.

6 0

2 years ago

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cake batter poured into a pan creates a circular batter pattern whose radius increases at a constant rate of 1 in/sec. at what r

docker41 [41]

Answer:

8 π .

Step-by-step explanation:

radius increases at a constant rate of 1 in/sec.

dr / dt = 1

where r is radius .

radius after 4 sec

r = 1 x 4 = 4 in

area A = π r²

differentiating both sides

dA / dt = 2 π r dr / dt

Putting dr / dt = 1 , r = 4 in

dA / dt = 2 π x 4 x 1

= 8 π sq in per sec.

Area increases at the rate of 8 π per sec.

6 0

3 years ago