4. A store offers packing and mailing services to customers. If a customer ships a box
weighing 4 pounds, it would cost $15. If a
customer ships a box weighing 8 pounds, it
would cost $23. Identify the following
characteristics:

Answer/Step-by-step explanation:

In the situation explained in the question, the cost of shipping is dependent on the weight of the box to be shipped.

For a box of 4 pounds, total shopping cost (x) => $15 (y)

For a box of 8 pounds (x), total shopping cost => $23 (y)

Therefore:

a. The input is weight of box

b. The output is cost of shipping

c. Using the 2 given pair (4, 15) and (8, 23), slope is calculate using the formula below:

Slope = 2

d. The slope represents the amount charged per pound of weight. That is, $2 per pound.

e. Let's derive an equation to represent the situation using the slope-intercept formula given as y = mx + b

y = total cost of shipping

x = weight of box

m = average cost per pound = slope

b = y-intercept = flat fee charged for shipping before adding the cost of weight per pound

Substitute x = 4, y = 15, m = 2 into y = mx + b, and solve for b

15 = 2(4) + b

15 = 8 + b

15 - 8 = b

7 = b

b = 7

The equation would be y = 2x + 7

The y-intercept = 7

f. The y-intercept, 7, is the starting amount, that is the flat fee charged before the cost per pound of weight of a box is added to give total cost of shipping.

this question has already been answered so im just swooping in to grab the points but the other guy answered so mark him brainliest

Step-by-step explanation:

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

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation: