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Mekhanik [1.2K]
3 years ago
8

Identify square root of 11 as either rational or irrational, and approximate to the tenths place.

Mathematics
1 answer:
Firlakuza [10]3 years ago
3 0

\sqrt{11} =3.316625

Rounded to the tenth: 3.3

Square roots that are not perfect squares are always irrational 
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sum_(n=0)^infinity (x+8)**n/(3**n) (a) Find the values of x for which the series converges. (Enter the smaller number first.) (
Fed [463]
Idk but probably the sum is 6367337282&363632$3!.??.):
5 0
3 years ago
8. Find the values of angles x, y,
Eddi Din [679]

Answer:

option A

Step-by-step explanation:

option A is the correct answer of this question.

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8 0
3 years ago
Read 2 more answers
in 2012, the population of a city was 63,000. by 2017, the population was reduced to approximately 54,100. identify any equation
Akimi4 [234]

Answer:

<em></em>f(x) = 63000(0.97)^x<em></em>

<em></em>

Step-by-step explanation:

Given

f(0) = 63000 ---x = 0, in 2012

f(5) = 54100 -- x = 5, in 2017

Required

Select all possible equations

Because there is a reduction in the population, as time increases; the rate must be less than 1.

An exponential function is represented as:

f(x) = ab^x

Where

b = rate

rate > 1 in options (a) and (b) i.e. 1.03

This implies that (a) and (b) cannot be true

For option (c), we have:

f(x) = 63000(0.97)^x

Set x = 0

f(0) = 63000(0.97)^0 = 63000*1=63000\\

Set x = 5

f(5) = 63000(0.97)^5 = 63000*0.8587=54098.1 \approx 54100

<em>This is true because the calculated values of f(0) and f(5) correspond to the given values</em>

For option (d), we have:

f(x) = 52477(0.97)^x

Set x = 0

f(0) = 52477(0.97)^0 - 52477* 1 = 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

For option (e), we have:

f(x) = 63000(0.97)^\frac{1}{5x}

Set x = 0

f(0) = 63000(0.97)^\frac{1}{5*0} = 63000(0.97)^\frac{1}{0} =undefined

<em>This is false because the f(x) is not undefined at x = 0</em>

For option (f), we have:

f(x) = 52477(0.97)^{5x

Set x = 0

f(0) = 52477(0.97)^{5*0} = 52477(0.97)^0 =52477*1= 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

<em>From the computations above, only (c) </em>f(x) = 63000(0.97)^x<em> is true</em>

4 0
3 years ago
7x-2y=16 11x+6y=32.3<br>how to solve this math problem​
Aneli [31]

Answer:

Step-by-step explanation:

These types of equations are called simultaneous equations and the method we can use to solve these type of equations is either Substitution, Elimination and Graphing.

We use substitution here because it is easier.

Equation 1

7x-2y=16

Equation 2

11x+6y=32.3

Lets take equation 1

7x-2y=16\\7x=16+2y\\x=\frac{16+2y}{7}

This is our equation 3 , now put it inside equation 2.

11x+6y=32.3\\11(\frac{16+2y}{7} )+6y=32.3\\\frac{176+22y}{7} +6y=32.3\\\frac{176+22y+42y}{7}=32.3\\176+22y+42y=226.1 \\\\42y+22y=226.1-176\\64y=50.1\\y=\frac{50.1}{64} \\y=0.783\\

We found the value of y , now to find the value of x insert the value of y in equation 3

x=\frac{16+2y}{7}\\x=\frac{16+2(0.783)}{7} \\x=\frac{16+1.566}{7}\\x=\frac{17.566}{7}\\x=2.509

Solved ! See the attached image on both the straight line graphs i have attached for better understanding. Where both the lines intersect each other is our value of (x , y) respectively.

6 0
3 years ago
You can eliminate one of the variable terms in an ___ by adding or subtracting another equation
MakcuM [25]

Answer:

system of equations

Step-by-step explanation:

You can eliminate one of the variable terms in a <u>system of equations</u> by adding or subtracting another equation.

8 0
2 years ago
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