Answer:
6.7
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Leg <em>a</em> = <em>x</em>
Leg <em>b</em> = 2
Hypotenuse <em>c</em> = 7
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [PT]: x² + 2² = 7²
- Isolate <em>x </em>term: x² = 7² - 2²
- Exponents: x² = 49 - 4
- Subtract: x² = 45
- Isolate <em>x</em>: x = 3√5
- Evaluate: x = 6.7082
- Round: x ≈ 6.7
<h3>
Answer: Choice B</h3>
24/48, 20/48, 18/48, 17/48
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Explanation:
1/3 = 0.333 approximately
2/3 = 0.667 approximately
We're looking for values between 0.333 and 0.667
We can rule out choice A because 1 doesn't fit the description.
Choice C can be ruled out as well because 9/12 = 0.750 isn't between 0.333 and 0.667
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Choice B works because all the decimals shown below are between 0.333 and 0.667
- 24/48 = 0.500
- 20/48 = 0.417 (approximate)
- 18/48 = 0.375
- 17/48 = 0.354 (approximate)
Answer:
is the answer.
Step-by-step explanation:
Well the first thing we would do is simplify all the exponents first inside the parenthesis. So 2^-3 is equal to 1/8. To solve negative exponents you would just divide the number instead of multiply, so 2 divided by 2 divided by 2 is equal to ⅛ or .125
Next would be to do the 2^-9. This would equal 1/512
Now would be to simplify 5^0. Anything to the power of 0 is always one. So now we simplify all the products meaning 7*5*2 and 7*3.
Now we would simplify both fractions.
The picture are pretty much self explanatory. If you have any questions feel free to ask in the comments - Mark
Also when you have the chance please mark me brainliest.
Answer:
There is a significant relation between weight and price
Step-by-step explanation:
Brand Weight(x) Price ($)
(y)
A 17.8 2100
B 16.1 6,250
C 14.9 8,370
D 15.9 6,200
E 17.2 4,000
F 13.1 8,500
G 16.2 6,000
H 17.1 2,580
I 17.6 3,500
J 14.1 8,000
Null Hypothesis :
Alternate Hypothesis :
Given : SST=51956800 SSE= 7312286.84 n = 10
SSR = SST-SSE
SSR=51956800-7312286.84
SSR=44644513.16
Level of significance =
Where m = no. of restrictions
k = No. of independent variables
F=48.843
Degree of freedom 1 = 1
Degree of freedom 2 = 10-2=8
Using calculator
p-value is .000114.
p value < α
So, we reject the null hypothesis .
Hence There is a significant relation between weight and price
The answer is for (6x^2-6x-5)(7x^2+6x-5) is B