At the beginning of the first day, a company has 64 shipping crates on backorder. by the end of each day, customers order 18 more shipping crates. if the company employees work overtime and make 28 shipping crates every day, how many crates will be on backorder at the beginning of the fifth day? a. 14 b. 16 c. 34 d. 24

The correct answer option is A. 14.

Step-by-step explanation:

Assume x to be the number of days.

On the first day, the company begins with 64 orders and gain 18 more orders per day which makes it 18x and we get:

64 + 18x

Moreover 28 crates per day are made, which decreases the number of crates that are needed per day by 28 which makes it -28x, and we get:

64 + 18x - 28x

Combining like terms, we get

64 - 10x

For day 5, we substitute the value of x with 5:

64 - 10(5) = 64 - 50 = 14

Therefore, 14 crates will be on back-order at the beginning of the fifth day.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.