The difference between the square roots of a number is 30. What is the number
2 answers:
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<h2><u>Answer:</u></h2>
<em>I hope this helps you</em>
<em>:)</em>
Answer:
D. <em>a</em> = 11.71 and <em>b</em> = 15.56
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Trigonometry</u>
- All angles in a triangle add up to 180°
<u>Pre-Calculus</u>
- Law of Sines:
Step-by-step explanation:
<u>Step 1: Define</u>
AC = b
CB = a
AB = 7
m∠A = 45°
m∠B = 110°
m∠C = ?
<u>Step 2: Find missing ∠</u>
- Set up equation: m∠C + 45° + 110° = 180°
- Combine like terms: m∠C + 115° = 180°
- Isolate unknown: m∠C = 25°
<u>Step 3: Find measure of </u><em><u>b</u></em>
- Substitute:
- Cross-multiply:
- Isolate <em>b</em>:
- Evaluate:
- Round:
<u>Step 4: Find measure of </u><em><u>a</u></em>
- Substitute:
- Cross-multiply:
- Isolate <em>a</em>:
- Evaluate:
- Round:
Answer:
The function for the model that gives the pressure in atm is given as:
P = 1.000 + 0.030*D
Step-by-step explanation:
From the question, we are given the Depth with corresponding P. Our duty is to calculate the Pressure (P) in the atm given the Depth (D). From this, we know that:
1. Pressure (P) is the dependent variable, and
2. Depth (D) is the independent variable.
Hence the function is a linear relationship which is known as regression equation. This can be achieve by estimating the:
i) Slope (β), and
ii) Intercept (α).
We can obtain the slope by:
, and
.
Hence, the function is:
= α + β D
You can achieve the task through R programming. Here is the R code.
#... this code in R programming
D = c(0,33,66,99,132)
P = c(1,2,3,4,5)
mod = lm(P~D)
mod.
############################
And we obtained P = 1.000 + 0.030 D