9514 1404 393
Answer:
multiply their coefficients, use the base with the sum of exponents
Step-by-step explanation:
The coefficients multiply. The base gets an exponent that is the sum of the exponents of the factors.
(a·x^b)(c·x^d) = ac·x^(b+d)
_____
If you remember that an exponent is simply an indicator of the number of times the base is a factor, this should be fairly clear. The usual associative and commutative properties of multiplication apply.
<u>Example</u>
5x^2 · 7x^3= 5·x·x·7·x·x·x
= 5·7·x·x·x·x·x
= (5·7)(x^(2+3))
= 35x^5
A = Ao(x)^t
Ao = 500
A = 500(x)^t
400 = 500 (x)^1
x = 4/5
A = 500(4/5)^t << The exp eqn
.95 in decimal form and 95/100 as a fraction or 19/20
Answer:
height = 20.5068 m
Step-by-step explanation:
Given the data in the question;
First, lets calculate the amplitude, midline and period of 8minutes
Amplitude = 35 / 2 = 17.5
|A| = 17.5
A = - 17.5 { since the wheel starts at 6 o clock }
midline C = (35/2) + 3
C = 17.5 + 3
C = 20.5
And period is 8 minutes
⇒ 2π/B = 8
8B = 2π
B = 2π/8 = π/4
So our equation will be in the form of;
y = h(t) = Acos(B×t) + C
∴ h(t) = -17.5cos( π/4×t) + 20.5
Now, How high are you off the ground after 6 minutes
⇒ height = -17.5cos( π/4 × 6) + 20.5
height = -17.5cos( π/4 × 6) + 20.5
height = -17.5cos( 4.71238898) + 20.5
height = -17.5 × cos( 4.712) + 20.5
height = -17.5 × -0.00038898 + 20.5
height = 0.0068 + 20.5
height = 20.5068 m
Information given to us:
10 4/5 total cake batter
18 cupcakes
First, we need to find the improper fraction of 10 4/5, which is 54/5. Now we can divide 54/5 by 18. Answer: every cupcake will use 3/5 cup.
