Answer:
Hi there!
Your answers are:
1) 38^10
2) 20^3
Step-by-step explanation:
1) Theres a property that goes like this:
(x^m)^n = x^mn
When you do a power of a power, you multiply them together!
2) There's a property that looks like this:
x^ m / x^n = x^ m-n
When dividing exponents, subtract!
Hope this helps!
I am not quite sure what the choices are, but the answer
to that problem is:
If p is a positive integer, then p(p+1)(p-1) is always
divisible by “an even number”.
The explanation to this is that whatever number you input
to that equation, the answer will always be an even number. This is due to the
expression p(p+1)(p-1) which always result in a even product.
For example if p=3, then (p+1)(p-1) becomes (4)(2) giving
you a even number.
And if for example if p=2, then (p+1)(p-1) becomes (3)(1)
which gives an odd product, but we still have to multiply this with p therefore
2*3 = 6 which is even product. The outcome is always even number.
<span>Answer: From the choices, select the even number</span>
Answer: 2 years
Step-by-step explanation:
If Interest= Principal x rate x time/100; then time is (100 × Interest)/(Principal × Rate)
From the question, old Principal is 5600, new principal =6720, the difference is the interest accrued.
Interest = 6720 - 5600 = Rs 1120
Rate = 8% = 8 ÷ 100 = 0.08
Time = x
Then, slot the values into the formula
Time= 100 x 1120 / 6720 x 8
= 112000/53760
=2.08
Time= 2years
I hope this helps
6 ribbons
1/4 yard long each
4 yards= 4 ribbons
4/4 yards
A: 6/4 Yards
Answer:
16
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Leg <em>a</em> = <em>a</em>
Leg <em>b</em> = 12
Hypotenuse <em>c</em> = 20
<u>Step 2: Solve for </u><em><u>a</u></em>
- Substitute in variables [Pythagorean Theorem]: a² + 12² = 20²
- Evaluate exponents: a² + 144 = 400
- [Subtraction Property of Equality] Isolate <em>a</em> term: a² = 256
- [Equality Property] Square root both sides: a = 16
