Answer:
B. 0.159
A = taking history class
B= taking sociology class
P(A) = 0.051
P(B) = 0.32
A ÷ B = 
= 0.159 Rounded the the nearest hundredth
Answer:
x = 4; y = 2
Step-by-step explanation:
(1) 3x + 2y = 16
(2) 2x – 2y = 4 Add (1) and (2)
5x = 20 Divide each side by 5
(3) x = 4 Substitute (3) into (2)
2×4 – 2y = 4
8 - 2y = 4 Subtract 16 from each side
-2y = -4 Divide each side by -2
y = 2
<em>Check:
</em>
(1) 3×4 + 2×2 = 16
12 + 4 = 16
16 = 16
(2) 2×4 – 2×2 = 4
8 - 4 = 4
4 = 4
<h3>
Answer:</h3>
- Option A
- Option D
<h3>
Solution:</h3>
- In order to multiply fractions, we should multiply the numerator of the first fraction times the numerator of the second fraction, like so:
- 3•5=15
- Do the same with the denominator:
- 10•7=70
- 15/70 is the answer.
- Same with the other fractions:
- 7•2=14
- 10•4=40
- Hence, 14/40 is the answer.
Hope it helps.
Do comment if you have any query.
Principle: Law of Exponents - Combination of product to a power & power to a power. The first is when raising a product of two integers to a power, the power is distributed to each factor. In equation it is,
(xy)^a = (x^a)(y^a)
The latter is when raising the base with a power to a power, the base will remain the same and the powers will be multiplied. In equation it is,
(x^a)(x^b) = x^ab
Check:
f(x) = 5*(16)^.33x = 5*(8*2)^0.33x = 5*(8^0.33x)(2^0.33x) = 5*(2^x)*(2^0.33x) = 5*(2^1.33x)
f(x) = 2.3*(8^0.5x) = 2.3*(4*2)^0.5x = 2.3*(2^x)(2^0.5x) = 2.3*(2^1.5x)
f(x) = 81^0.25x = 3^x
f(x) = 0.75*(9*3)^0.5x = 0.75*(3^x)*(3^0.5x) = 0.75*3^1.5x
f(x) = 24^0.33x = (8*3)^0.33x = (2^x)*(3^0.33x)
Therefore, the answer is third equation.
<em>ANSWER: f(x) = 81^0.25x = 3^x</em>
