Help me please. I don't understand this section

Answers

Answer 1

Answer: What you do is that you use your algebraic magic to find your c value. First, you will divide both sides by 5. Now you have 2b= the square root of c +2. Now subtract 2 from both sides and you will have 2b-2= the square root of c. To undo the square root of c, you will need to square it, so square both sides and you have your answer. Good luck!

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What is the sum of the geometric series 2^0 + 2^1 + 2^2 + 2^3 + 2^3 + 2^4 + … + 2^9?

Answers

the nth term is
an=a1(r)^(n-1)
an=1(2)^(n-1)
a1=1
r=2

the sum of a geometric seequence is
$S_(n)=(a_(1)(1-r^(n)))/(1-r)$
a1=1
r=2
we want to find $S_(10)$ (since we minus 1, the highest exponet is 9 so add 1 to make it correct)

$S_(10)=(1(1-2^(10)))/(1-2)$
$S_(10)=((1-1024)/(-1)$
$S_(10)=((-1023)/(-1)$
$S_(10)=1023$

Hello,

$1+2+2^2+2^3+...+2^9=(2^(10)-1)/(2-1)=1023$

Find the area of a sector with a central angle of 110° and a diameter of 6 cm. Round to the nearest tenth.

Answers

=1/2* r^2 * theta
r=D/2=3 cm
theta=110 deg= 1.92 radian.
area=1/2*3*3*1.92 cm2 =8.64 cm2
=8.6 cm2 (approx.)

Which of the following numbers has 4 significant figures? A. 3020.5 B. 0.003020 C. 3.2005 D. 0.0325

Answers

Answer:

Step-by-step explanation:

This is because the leading zero isn't counted, but the trailing zero after the decimal point is, making it four.

Find the next term of the given sequence. 1.31, 2.54, 3.77, ... 4.90 5.00 5.10

Answers

Answer:

Option B is correct.

the next term of the sequence is 5.00

Explanation:

Arithmetic progression(A.P) is a sequence of numbers in which the consecutive terms are formed by adding a constant quantity with the preceding term.

Common difference(d) is the constant quantity stated in the above definition of arithmetic progression. it is given by;

$d=a_(n+1) - a_n$ for all n∈N

Given sequence:- 1.31, 2.54 , 3.77 , ___ ;

we have;

$a_1 = 1.31$ , $a_2= 2.54$ and $a_3 = 3.77$

First find the common difference;

$d =a_2 - a_1$ = $2.54-1.31 = 1.23$

d = $=a_3-a_2 = 3.77-2.54 =1.23$

Therefore, by the definition of arithmetic progression,

the given sequence is Arithmetic progression

Now, to find the fourth term of the sequence, add constant quantity (d) to the third term;

$a_4 = 3.77+1.23 = 5.00$

Therefore, in the given sequence next term will be 5.00.

It is A.P. with common difference = 2.54-1.31 = 1.23

So, next term would be 3.77+1.23 = 5.00

OPTION B IS YOUR ANSWER

If you mow 24 lawns and earn 10.50 for each lawn,your total earing are?

Answers

If one lawn is 10.50, then to find 24 lawns you times it by the earnings of one lawn (i.e. 10.50)
The sum would be: 10.50 x 24
The answer to that would be 252.00.
(Remember to add in the currency sign in front of the answer (eg. £ $ etc)

Answer:

$252.00

Step-by-step explanation:

10.50 × 24

Geometry IXL pls correct answer !