Answer:
x = 4
Step-by-step explanation:
13x=32+5x
Subtract 5x from each side
13x-5x=32+5x-5x
8x = 32
Divide each side by 8
8x/8 = 32/8
x = 4
Answer:
B
This is a 30-60-90 Triangle which means that the long side is twice the short side and the hypotenuse is Square Root 3 times bigger
Answer:
x = 40
Step-by-step explanation:
.80x + 30 = 1.20x + 14
<u>-.80x = -.80x </u>
30 = .4x + 14
<u> -14 = -14</u>
16 = .4x
16/.4 = .4/.4x
40 = x
Answer:
160
Step-by-step explanation:
So there are 32 ounces in a quart.
32 * 5 = 160
Answer:
(a)4.17 metres
(b)6.9999 seconds
(c)f⁻¹, t= 2ᶠ⁽ᵗ⁾
Step-by-step explanation:
f(t)=log₂t
(a) If t=18 seconds
f(18)=log₂18= log ₂(2X9)
=log ₂2 + log ₂9
=1+(log9/log2)
=1 + 3.1699 =4.17 metres
f(18)=4.17 metres.
(b)If f(t)=2.80735, we want to determine the value of t.
f(t)=log₂t
2.80735=log₂t
Changing from logarithm form to index form
t= 2^(2.80735)
=6.9999 seconds
(c)f(t)=log₂t
Next, We want to determine f⁻¹
If y=log₂t
Changing to exponential form
t=2ʸ
f⁻¹, t= 2ᶠ⁽ᵗ⁾.