Step-by-step explanation:
We need to find an expression for 
.
We can solve it as follows.
We know that,
So,
or
Hence, this is the required solution.
Answer:
0.6 seconds to 2.6 seconds
Step-by-step explanation:
From the graph the ball reaches 28 feet after 0.574 seconds
and doesn't fall below that until 2.614 seconds
0.574 rounded is 0.6 seconds
2.614 rounded is 2.6 seconds
Answer:
Paasche's Index= 168.63= 169
Step-by-step explanation:
<em><u>Products</u></em>
<em><u>Base-Period Current Period</u></em>
Quantities Mean Shipping Quantities Mean Shipping
(Year 1) Cost per Unit ($) (Year 5) Cost per Unit ($)
A 1,500 10.50 4000 15.90
B 5,000 16.25 3000 33.00
C 6,500 12.20 8000 18.40
D 2,500 20.00 3000 35.50
Paasche's Index= ∑ pn.qn/∑po.qn* 100
Where pn is the price of the current year and qn is the quantity of the current year and po. is the price of the base year and qo. is the quantity of the base year.
Paasche's Index is the percentage ratio of the aggregate of given period prices weighted by the quantities sold or consumed in the given period to the aggregate of the base period prices weighted by the given period quantities.
Multiplying the current year prices with the current year quantities and the base year price with the current year quantities we get.
Product pn.qn po.qn
A 15.90* 4000 10.50* 4000
= 63600 =42000
B 33.00*3000 16.25 * 3000
= 99000 = 48750
C 18.40* 8000 12.20 *8000
=147200 =97600
D 35.50* 3000 20.00*3000
<u> =</u><u>106500 60,000 </u><u> </u>
<u>∑ 416300 248350 </u>
<u />
Paasche's Index= ∑ pn.qn/∑po.qn= <u> </u>416300/ 248350 *100 = 1.676=1.68= 168.63= 169
<u />
Answer:
Once an expression has been factored, use the Distributive Property to expand the expression. The expanded expression should be the original expression.
Step-by-step explanation:
The distributive property for any binary operation Ф under * in the given set S where a, b, c ∈ S
The binary operation a * (b Ф c) = (a * b) Ф (a * c) .
The operation * distributes over the operation Ф.
Now, when factoring, suppose we have an expression ab + ac. To factor this, we have a(b + c).
To check that our answer is correct, since the expression has been factored, we then distribute the multiplication over the addition to check if the factorization is correct.
So, a(b + c) = ab + ac which is our initial expression.
So, to use the distributive property to check work when factoring, once an expression has been factored, use the Distributive Property to expand the expression. The expanded expression should be the original expression.
Assume he played x games in total.
So x * 60% = 12
->x = 12 / 60% = 20
