Answer:
(240 × 60)/100 = <u>144</u>
Step-by-step explanation:
(Whole × Percent)/100 = Part
Answer:
a) lim x ⇒0 eˣ - x - 1cos(x) -1 = -1
b ) q = √a/b
Step-by-step explanation:
a) lim x ⇒0 eˣ - x - 1cos(x) -1 ⇒ e⁰ -(0) - cos(0) -1 = 1-0-1-1 = -1
B) The weekly cost of the company is C(q) = a/q + bq
In cost equation the term a/q represent the ordering cost. In fact if q increase the ratio a/q decrece and the term bq represent the storage cost that will grow as the storage quantity increase
C(q) = a/q + bq Taking derivative C´(q) = -a/q² + b
-a/q² = -b ⇒ a/q² = b ⇒ q² = a/b ⇒ q = √a/b
Answer:The amount of apple juice needed in a 54 fluid ounce is 34.5 fluid ounce.
Step-by-step explanation:
The beverage company makes 100% cranapple juice which is made up of 3 1/4 cranberry juice to 5 3/4 apple juice. Converting to decimal, it is made up of 3.25 cranberry juice to 5.75 apple juice. The ratio of cranberry juice to apple juice in the cranapple juice would be
3.25/5.75
Total ratio = 3.25 + 5.75 = 9
The amount of apple juice needed in a 54 fluid ounce cranapple juice would be
5.75/9 × 54 = 34.5 fluid ounce
Let the score in the first game be m and in the second be n.
we know that the total score is 35
this means that: m+n=35 .....> equation I
she scored in the second games 6 times as many as in the first one
this means that: n=6m .......> equation II
substitute with equation II in I:
m+6m=35
7m=35
m=5
therefore,
she scored 5 in the first game and 30 in the second one
this means that she scored 30-5=25 points in the second game more than in the first one
Insert x = 7
so 3/(7+2) - sqr (7-3)
=3 / (9) - sqr (4)
= 1/3 - 2
=1/3 - 6/3
= -5/3