Answer:
Hey there!
There are 3+4+6+3, or 16 females.
3 of the females are seniors.
Thus, the percent is 3/16, or 19%
Let me know if this helps :)
Answer:
x = -36, y = 6, z = -6
Step-by-step explanation:
The requirement x/z = -z means x = -z².
The requirement x/y = z means x = yz.
These two requirements together mean yz = -z², or y = -z.
The requirements that z/2 and z/3 are integers mean that z is a multiple of 2·3 = 6. The smallest magnitude non-zero multiple is z=-6 (since we also require z < -z).
Using z=-6, we have x = -z² = -36; y = -(-6) = 6.
For some positive integer n, ...
... x = -36n², y = 6n, z = -6n.
Answer:
-36
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</u>
x⁴ - 3x² - 90
x = -3
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: (-3)⁴ - 3(-3)² - 90
- Exponents: 81 - 3(9) - 90
- Multiply: 81 - 27 - 90
- Subtract: 54 - 90
- Subtract: -36
To solve this problem, let us first assign some variables.
Let us say that:
v1 = velocity of airplane = 180 mph
t1 = time travelled by airplane
v2 = velocity of jet = 330 mph
t2 = time travelled by jet
Since we know that distance is the product of velocity and
time, and that the distance travelled by the two must be equal for the jet to
catch up to the plane, hence:
v1 * t1 = v2 * t2
But we know that:
t1 = t2 + 1
Therefore:
180 (t2 + 1) = 330 t2
180 t2 + 180 = 330 t2
150 t2 = 180
t2 = 1.2 hours
<span>Therefore the jet can catch up to the plane after 1.2
hours it takes off.</span>
Answer:
Molecular gastronomy, or progressive cuisine, is a movement that incorporates science and new techniques in the preparation, transformation and artistic presentation of food. It is the study of molecules as they relate to the chemical and physical processes of cooking.
Step-by-step explanation:
