Answer:
a) 2,650%
b) 27,400%
c) 164,900%
Step-by-step explanation:
We want to measure the percentage we would have to increase the typical value to obtain the values given in a), b) and c).
But 0.2 increased in x% equals
0.2 + 0.2(x/100) =0.2(1+x/100)
So, if we want to increase 0.2 in x%, we must multiply it by (1+x/100)
a)
We need to find the value of x such that
0.2(1+x/100) = 5.5 ⇒ (1+x/100)=5.5/0.2 ⇒ 1+x/100=27.5
⇒ x/100=26.5 ⇒ x=2,650%
b)
0.2(1+x/100) = 55 ⇒ (1+x/100)=55/0.2 ⇒ 1+x/100=275
⇒ x/100=274 ⇒ x=27,400%
c)
5.5 min = 5.5*60 s = 330
0.2(1+x/100) = 330 ⇒ (1+x/100)=330/0.2 ⇒ 1+x/100=1,650
⇒ x/100=1,649 ⇒ x=164,900%
Answer : 12.56 inches²
Explanation :
Diameter is twice the radius.
Radius = 4 ÷ 2 = 2 inches
Area = 3.14r² = 3.14 × 2² = 12.56 inches²
Answer:
A hope its right!!
Step-by-step explanation:
Have a good day!
Answer:
3 ln(1-x) - 3 ln3 - 3 ln x
Step-by-step explanation:
We have the following logarithmic expression.
ln(1-x/3x)³
We apply the logarithm power rule.
3 ln(1-x/3x)
We apply the logarithm quotient rule.
3. [ln(1-x) - ln 3x]
We apply the logarithm product rule.
3. [ln(1-x) - (ln3 + ln x)]
3. [ln(1-x) - ln3 - ln x]
We apply the distributive property.
3 ln(1-x) - 3 ln3 - 3 ln x
Answer:
Step-by-step explanation:
When the quadratic is written in vertex form:
x = a(y -k)^2 +h
the vertex is (x, y) = (h, k), and the length of the latus rectum is 1/a.
For your given equation, ...
x = (1/2)(y -5)^2 +7
you have a=1/2, k = 5, h = 7, so ...
the vertex is (7, 5)
the length of the latus rectum is 1/(1/2) = 2
