What's the REAL square root of pi?

Answers

Answer 1

Answer: Every positive number has two square roots. Since pi itself is irrational, you can be sure that its square roots are also irrational, so they can't be written exactly using digits. They're roughly +1.77245... and -1.77245... (both rounded).

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Which expressions represent the distance between the two points?Choose all answers that are correct.

The number line shows two points with coordinates negative 11 and positive 7.

A.

|–11 – 7|

B.

|–11 + 7|

C.

|7 – (–11)|

D.

–11 – 7

Answers

On the number line, the distance between negative 11 and positive 7 is 18 units.

Choice A: The absolute value of (-11 - 7) = absolute value of (-18) = 18.

Choice C: The absolute value of [ 7 - (-11) ] = absolute value of (7+11) = 18.

'A' and 'C' are both the same number, and it's the correct answer to the question.

An initial investment of $60.00 increases in value by 15% each year. Which of the following statements are true? Select all that apply. This function can be represented by the quadratic equation f(x)=0.15(x+60)^2 This situation can be represented by the exponential function f(x)=60 x 1.15^x This function has no x-intercept After 4 years the value of the investment will be $120.00 After 6 years the value of the investment will be $653.00 After 7.86 years the value of the investment will be 3 times the initial value After 8 years the value of the investment will be $184.00

Answers

Given:
initial investment = $60.
increase in value by 15% each year

The function that best represents the above problem is: f(x) = 60 * (1.15)^x

f(4) = 60 * (1.15)⁴ = 60 * 1.75 = 105.00
f(6) = 60 * (1.15)⁶ = 60 * 2.31 = 138.60
f(7.86) = 60 * (1.15)⁷.⁸⁶ = 60 * 3 = 180
After 7.86 years the value of the investment will be 3 times the initial value
f(8) = 60 * (1.15)⁸ = 60 * 3.06 = 183.60
After 8 years the value of the investment will be $184.00

Fill in the following 5 statements and 5 reasons used to complete this proof.

Answers

Answer:

AD ≅ CD.

Step-by-step explanation:

Statement : consider triangles ADB and DBC.

1) AB = CD

2) ∠ABD = ∠DBC

3) DB = DB

4) ⇒ ΔADB and ΔDBC are congruent triangles.

5) AD = DC.

Reasons ;

1) given, AB = CB

2) given, DB bisects ∠ ABC

3) common side of both triangles

4) as two sides and one angle are equal in both triangles

5) congruent triangles

Alexander found the means-to-MAD ratio of two data sets to be 2.1.What can he conclude about the distributions?

A.
They are similar.

B.
They are somewhat similar.

C.
They are different.

D.
They are identical.

Answers

Okay, So We Need To First Remember The Rule About Means-To-Mad Ratios. It Is :
"You can use the means-to-MAD ratio to describe the similarity of two distributions. Divide the positive difference in the means by the larger of the two MAD values. If this ratio is 1 or less, the two distributions are similar. If this ratio is between 1 and 2.5, the two distributions are somewhat similar. If this ratio is greater than 2.5, the two distributions are different. "
So, Lets Use This Info. 2.1 Is Greater Than 1, So They Are Not Similar. It Is Greater Than 1 But Less Than 2.5, So, They Are Somewhat Similar. 2.1 Is Less Than 2.5, So They Are Not Different. They Cant Be Identical, Because That Would Mean It Is 0. So, This Means That The Answer Is They Are Somewhat Similar. I Hope This Helps!

Answer:

Step-by-step explanation:

Because they are somewhat similar.

Which of the following equations is modeled by the graph