Which are points on the graph of y = 1.5 + ⌈x⌉? check all that apply. a. (–4.5, –2.5) b. (–1.5, 0) c. (–0.8, 0.5) d. (1.3, 3.5) e. (4.5, 6) f. (7.9, 9.5)

Option A,D and F

Step-by-step explanation:

Given : Function

To find : Which are points lie on the graph of given function?

Solution :          

To determine the points lie on the graph,

First we graphed the given function

In the function, ⌈x⌉ means the ceiling of x, i.e. the smallest integer greater than or equal to x.

Refer the attached figure below.

Now, We mark all the points mention in question.

We note the point line on the ceiling x are A(-4.5, -2.5), D(1.3, 3.5) and F(7.9, 9.5).

Therefore, The required result is Option A,D and F.

47.28 or 47.2857143

step-by-step explanation:

you just divide 331 by 7 and you get that answer. ( i think so tho)

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west