Answer:
4.
a)
b)
5. Yes
Step-by-step explanation:
The distributive property is:
It can be extended to a lot of terms as well.
We will use this to multiply both of the probelms shown.
4 a)
The answer is
4 b)
The answer is
5. Yes
Answer:
1.26 feets
Step-by-step explanation:
Given the following :
Vertex (0, 0)
Focus of reflector = 6 feets
Extension = 5.5 feets
Equation to obtain conic section of a parabola:
(x - h)² = 4p(y - k)
Vertex (0, 0)
h =0 ; k = 0, p = 6, x = 5.5
(5.5 - 0)² = 4*6(y - 0)
30.25 - 0 = 24(y - 0)
30.25 = 24y
y = 30.25 / 24
y = 1.26
Hence, depth of reflector = 1.26 feets
Answer: x= -1.02 or -95/93 or -1 2/93
Step-by-step explanation:
The way the question is worded, the correct answer is 0%. A 10 has already been drawn, and there are ZERO ways to draw a card valued higher than 10. The question specifically says face cards- J, Q, K- are worth 10, so the best the player can do is tie the 10, but not beat it.
However, among the answers given, it appears C is correct, if you assume that the face cards are higher valued than the 10 of hearts. There are 12 face cards remaining in the deck, 4 each of J, Q, K. And there is a total of 50 cards remaining after drawing the 8 and the 10.
There’s a 24% chance we’ll draw a winning card IF the assumption is that face cards beat a 10.
Annual cost of insurance plan is $3975. The company pays 70 percent. How much does Jack pay?
100% - 70% = 30%
How many is that in dollars?
30% out of 3975 = 30% * 3975
We need to write percentage in decimal form
Jack pays $1192.5 annualy for this insurance plan
Assuming that year has 52 weeks, price per week would be:
$1192.5 / 52 = $22.93
He is paid biweekly so he needs to pay twice this amount:
$22.93 * 2 = $45.86
His insurance cost per paycheck is $45.86.