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xxTIMURxx
7 days ago
15

A sociologist recorded the estimated life expectancies of women born in Center City. Use the data from women born in 1970 and 20

00 to create a linear model that predicts the life expectancy, in years, (y) of a female born in a given year (x). . . Year Born Life Expectancy (years). 1960 66.1. 1970 67.6. 1980 70.1. 1990 71.9. 2000 74.0. 2010 75.9. . Which equation represents this linear model? a. y = 0.213x – 352.0 b. y = 0.213x – 358.4 c. y = 4.695x – 9181.6 d. y = 4.695x – 9322.4
Mathematics
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A 1500 kg hippo is completely submerged, standing on the bottom of a lake. What is the approximate value of the upward normal fo
zzz [12365]

Answer:

Aproximadamente 428 N

Step-by-step explanation:

Peso = 1,500 * 9.8 = 14,700 N

Densidad = Masa ÷ Volumen

1,030 = 1,500 ÷ V

V = 1,500 ÷ 1,030 = 1.46 m^3.

La fuerza de flotación = Densidad * g * V

La fuerza de flotación = 1,000 * 9.8 * (1,500 ÷ 1,030)

La fuerza de flotación = 9,800 * (1,500 ÷ 1,030) = 14,272 N.

La fuerza neta = 14,700 – [(9,800 * (1,500 ÷ 1,030)]

7 0
3 months ago
A child rides a pony on a circular track whose radius is 5.25 m. a) Find the distance traveled and the displacement after the ch
tester [12383]

Answer:

a) The distance covered halfway = 16.49 [m], while the displacement at that point = 10.5 [m]b)

The distance traveled increases

when the child finishes one lap around the track.

Step-by-step explanation:

a)

Distance is a scalar measurement

that indicates how much ground an object has traversed in motion. Contrarily, displacement is a vector measurement which describes how far an object is from its original position after moving.

In this scenario, the child travels halfway around the circular track from point 1 to point 2. We know that the circumference or perimeter of a circle can be calculated as 2*PI*radius. Since the child only covers half the distance, we need to divide the circumference by 2, leading to distance = PI*radius

The halfway distance = (PI)*(5.25) = 16.49 [m]
Considering the definition of displacement, it’s clear that the distance from point 1 to point 2 equals one diameter from the starting point:

The halfway displacement = D = 2*radius = 2(5.25) = 10.5 [m]

b) What occurs to the distance after the child completes one full circuit? The distance will increase since the child covers more ground during the full lap:

  • The distance for one circuit = 2*(PI)*radius = 2(PI)(5.25) = 32.99 [m]

32.99 is greater than 16.49, confirming that the distance does indeed increase.

3 0
2 months ago
PLEASE HELP ASAP!! 180x=2(30÷3)+17-5•11+2÷1 = ?
Inessa [12570]

Answer:

x = -4/45

Step-by-step breakdown:

180x=2(30÷3)+17-5•11+2÷1

We first need to simplify the right side.  The initial step involves the parentheses

180x=2(10)+17-5•11+2÷1

Next, we multiply and divide, proceeding from left to right after the equals sign.

180x=20+17-5•11+2÷1

180x=20+17-55+2÷1

180x=20+17-55+2

Next, we add and subtract, moving from left to right in relation to the equals sign.

180x=37-55+2

180x =-18+2

180x = -16

Then divide each side by 180

180x/180 = -16/180

x = -4/45


4 0
2 months ago
Read 2 more answers
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