An object is launched into the air. The projectile motion of the object can be modeled using the function h(t) = –16t2 + 72t + 5

The corresponding scales are:

3 cm for 15 km translates to 1 cm for 5 km ⇒ answer A

5 mm for 2.5 km translates to 1 cm for 5 km ⇒ answer D

1 mm for 500 m translates to 1 cm for 5 km ⇒ answer E

Detailed explanation:

To engage with this problem:

1. Given that 1 cm is equivalent to 5 km, all provided answers must

 be converted to cm and km

2. Determine the matching scales against the provided scale

A.

Since 3 cm indicates 15 km

- Divide both values by 3

Thus, 1 cm indicates 5 km

3 cm for 15 km equates to 1 cm for 5 km

B.

Since 1 mm signifies 150 km

- Convert mm to cm

Since 1 cm = 10 mm

Thus, 1 mm = cm = 0.1 cm

So, 0.1 cm indicates 150 km

- Then multiply both by 10

So, 1 cm indicates 1500 km

1 mm to 150 km does not match with 1 cm to 5 km

C.

Since 5 cm signifies 1 km

- Divide both by 5

Thus, 1 cm signifies 0.2 km

5 cm to 1 km does not match with 1 cm to 5 km

D.

Since 5 mm signifies 2.5 km

- Convert mm to cmSince 1 cm = 10 mm

Thus, 5 mm = cm = 0.5 cm

Therefore, 0.5 cm indicates 2.5 km

- Divide both by 0.5

Therefore, 1 cm represents 5 km

5 mm to 2.5 km corresponds to 1 cm to 5 km

E.

Since 1 mm signifies 500 m

- Convert mm to cm

Since 1 cm = 10 mm

So, 1 mm = cm = 0.1 cm

- Convert m to km

Since 1 km = 1000 m

Thus, 1 m = = 0.001 km

Thus, 500 m = = 0.5 km

Thus, 0.1 cm indicates 0.5 km

- Multiply both by 10

Thus, 1 cm represents 5 km

1 mm to 500 m corresponds to 1 cm to 5 km

Learn more:

You can learn more about equivalent measurements in

Answer:

a. La ganancia total es de $ 4,060,000.00

b. 31 vehículos fabricados

Step-by-step explanation:

(a) Los datos suministrados son;

Cantidad de autos tipo sedán producidos = 24

Cantidad de SUV ensamblados = 16

Cantidad de vehículos tipo VAN producidos = 12

Cantidad de pick-ups fabricadas = 8

Cantidad de autos deportivos producidos = 2

Ganancia de los autos sedán vendidos = $ 185,000 - $ 140,000 = $ 40,000

Ganancia por las SUV vendidas = $ 320,000 - $ 250,000 = $ 70,000

Ganancia de los vehículos tipo VAN = $ 400,000 - $ 310,000 = $ 90,000

Ganancia de las pick-ups = $ 285,000 - $ 210,000 = $ 75,000

Ganancia de los autos deportivos vendidos = $ 550,000 - $ 400,000 = $ 150,000

La ganancia total se calcula de la siguiente manera: 24 * $ 40,000 + 16 * $ 70,000 + 12 * $ 90,000 + 8 * $ 75,000 + 2 * $ 150,000 = $ 4,060,000

(b) Debido a que hay una producción constante, solo se completará la mitad del total de automóviles en un lapso de 12 horas

Por lo tanto, se fabrican

12 sedanes, 8 SUV, 6 VAN, 4 pick-ups y 1 deportivo, alcanzando así un total de 31 vehículos.

Result:

6.1°; 425.86 m.

Step-by-step breakdown:

The information provided states that the airplane is at an altitude of 5.7 miles above ground level, while the "radius of Earth is about 4000 miles." Thus,

θ = 2 × cos^-1 (a/ (a + b)), where a = 4000 miles, and b = 5.7 miles.

θ = 2 × cos^-1 (4000/ (4000 + 5.7)) = 6.1°.

To calculate the distance in meters:

Change in distance = 6.1° /360° × 2π × 4000 miles = 425.86 meters.

Consequently, BD⌢ measures at 6.1° and the distance corresponding to this section of Earth is 425.86 meters.

Since there is no accompanying figure, we assume points L, M, and N lie on the same line, with point L between M and N.

The total length of segment MN equals the sum of segments LN and LM, expressed as:
             LN + LM = MN

Substituting the given lengths:
             MN = 54 + 31
             MN = 85

ANSWER: MN = 85

The z-score is defined as z=, where X represents the observation's value, m indicates the mean of all observations, and sigma denotes the standard deviation. For the z-scores at the confidence interval extremes, we have 2.58 and -2.58. Solving the first equation yields:
Once we insert the values for z, m, and sigma, the confidence interval's upper limit is 90.32 minutes, while the lower limit is 18.08 minutes. Thus, nearly all adults (99%) watch TV within this timeframe.