Answer:
y = -0.904, 19.904
Step-by-step explanation:
f(y) = 9
f(y) = sqrt(y + 99)
-------------------------------------------
9 = sqrt(y +99) - y
81 - 18y + y^2= y + 99
-19y + y^2 = 18
y(y - 19) = 18
y = -0.904, 19.904
(I used a calculator to solve those values)
Answer:
60
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define Expression</u>
2 × (3³ - 5 + 8)
<u>Step 2: Evaluate</u>
- [Parenthesis] Exponents: 2 × (27 - 5 + 8)
- [Parenthesis] Subtract: 2 × (22 + 8)
- [Parenthesis] Add: 2 × 30
- Multiplication: 60
There's no such thing as the "length"of an angle.
But we know what you're getting at.
You have said that the angles are complementary. If two angles are
complementary, then their sum is 90 degrees, so we can take your
two angles and write:
<u>x</u> (one angle) plus <u>(2x + 12)</u> (the other one) <u>= 90 degrees
</u><u /> x + 2x + 12 = 90<u>
</u>Subtract 12 from each side: x + 2x = 78
Add the x's on the left side: 3x = 78
Divide each side by 3 : x = 26 degrees
One angle is 'x' = <em>26 degrees</em>
The other one is (2x + 12) = 52+12 = <em>64 degrees</em>
Answer:
80%
Step-by-step explanation:
28/35 = 0.8
Divide. Convert a decimal to a percent by multiplying times 100.
0.8 × 100 = 80
Tara earned an 80%
You could use a calculator as described above or using mental math or pencil and paper:
28/35 = 4/5
Simplify.
4/5 = 8/10 = 80/100
Percent means per hundred, change 28/35 to hundredths as above.
Tara (still) gets an 80%.
<span>You have to calculate two separate measures, one for each set.The mean-to-MAD ratio is the mean divided by the MAD, i. e. mean / MAD. For the set 1, mean = 10.7 and MAD = 2.4, then mean / MAD = 10.7 / 2.4 = 4.4583. For the set 2, mean = 13.7 and MAD is 2.5, so mean/ MAD = 13.7 / 2.5 = 5.480.</span>
