19) Write in Ascending Order

Drag each equation to the correct location on the table.

Ket [755]

Answer:

Hi! I hope this is correct please inform me if this is incorrect :)

a = 1 will have.

2a + 3 < 9 - 3a.

2a + 3 > 10 -3a.

3a - 2a + 1>2.

a = 2 will have

ANY others I did not include in a = 1 :)

Please once again tell me if this is incorrect.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

There are 60 minutes in an hour. The total number of minutes is a function of the number of hours, as shown in the table. Does t

patriot [66]

The answer is a. It represents a linear function because there is a constant rate of change. This can be done the opposite way, but lets use minutes as x and hours as y. Every time y increases by 1, x increases by 60. This means there is a constant rate of change of 1 (rise) over 60 (run). A linear equation must have a constant rate of change.

6 0

3 years ago

Read 2 more answers

A football is kicked from the ground so that its height n (in feet) t seconds after being kicked is given by h(t) = –16+48t.

damaskus [11]

Answer:

h(t) = –16+48t

h(32)=-16+48(32)

h(32)=-16+ 1536

h(32)= 1520seconds

Step-by-step explanation:

6 0

3 years ago

Craig is putting $5,500.00 into an account for a 5-year period, which pays 4.5% simple interest. Use the formula below to calcul

almond37 [142]

Answer:

Step-by-step explanation:

Thanks for the points mate

4 0

3 years ago

Please answer the question below (ABOUT VECTORS AND MAGNITUDE)

coldgirl [10]

(a) v appears to have a fixed direction along the positive x-axis. If ||u|| = 150 N, ||v|| = 220 N, then when θ = 30°, you have

u = (150 N) (cos(30°) i + sin(30°) j ) ≈ (129.904 i + 75 j ) N

v = (220 N) (cos(0°) i + sin(0°) j ) = (220 i ) N

(i and j are the unit vectors in the positive x and y directions)

and their sum is

u + v ≈ (349.904 i + 75 j ) N

with magnitude

||u + v|| ≈ √((349.904)² + (75)²) N ≈ 357.851 N ≈ 357.9 N

and at angle φ made with the positive x-axis such that

tan(φ) ≈ (75 N) / (349.904 N) → φ ≈ 12.098° ≈ 12.1°

(b) Letting θ vary from 0° to 180° would make v a function of θ :

u = (150 N) (cos(θ) i + sin(θ) j ) = (150 cos(θ) i + 150 sin(θ) j ) N

Then

u + v = ((220 + 150 cos(θ)) i + (150 sin(θ)) j ) N

→ M = ||u + v|| = √((220 + 150 cos(θ))² + (150 sin(θ))²) N

M = √(48,400 + 66,000 cos(θ) + 22,500 cos²(θ) + 22,500 sin²(θ)) N

M = 10 √(709 + 660 cos(θ)) N

(c) As a function of θ, u + v makes an angle α with the positive x-axis such that

tan(α) = (150 sin(θ) / (220 + 150 cos(θ))

→ α = tan⁻¹((15 sin(θ) / (22 + 15 cos(θ)))

(d) Filling in the table is just a matter of evaluating M and α for each of the given angles θ. For example, when θ = 0°,

M = 10 √(709 + 660 cos(0°)) N = 370 N

α = tan⁻¹((15 sin(0°) / (22 + 15 cos(0°))) = 0°

When θ = 30°, you get the same result as in part (a).

When θ = 60°,

M = 10 √(709 + 660 cos(60°)) N ≈ 323.3 N

α = tan⁻¹((15 sin(60°) / (22 + 15 cos(60°))) = 23.8°

and so on.

4 0

3 years ago