Answer:
C(n) = 4 n for all possible integers n in N. This statement is true when n=1 and proving that the statement is true for n=k when given that statement is true for n= k-1
Step-by-step explanation:
Lets P (n) be the statement
C (n) = 4 n
if n =1
(x+4)n = (x+4)(1)=x+4
As we note that constant term is 4 C(n) = 4
4 n= 4 (1) =4
P(1) is true as C(n) = 4 n
when n=1
Let P (k-1)
C(k-1)=4(k-1)
we need to proof that p(k) is true
C(k) = C(k-1) +1)
=C(k-1)+C(1) x+4)n is linear
=4(k-1)+ C(1) P(k-1) is true
=4 k-4 +4 f(1)=4
=4 k
So p(k) is true
By the principle of mathematical induction, p(n) is true for all positive integers n
Answer:
<em>8.25 cc fluid should be drawn into the syringe from the U40 vial.</em>
Step-by-step explanation:
The amount of a U40 vial insulin fluid is 10 cc.
A vial marked U40 has 40 units of insulin per cubic centimeter of fluid.
Suppose, if a patient needs 33 units of insulin, then 
cc fluid should be drawn.
So, <u>according to the ratio of "cubic centimeter" to "the units of insulin"</u>, the equation will be.........
So, 8.25 cc fluid should be drawn into the syringe from the U40 vial.
Answer:
Anna is sick
Step-by-step explanation:
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Answer:
120 cm
Step-by-step explanation:
1/2 is 6 months and 6 years are 72 months.
Using the rule of three, 10 cm is to 6 months what x is for 72 months so
x = (72 * 10) / 6 = 120
Answer:
b. All real numbers
Step-by-step explanation:
Simplify:
- 5(x-2) = (15x+6)/(3) - 12
- 5x - 10 = 5x + 2 - 12
- 5x - 10 = 5x - 10
- -10 = -10
- 0 = 0
Since both sides are equal to each other, any value of x makes this equation true.
