Ask question

Ask question

All categories

3 years ago

11

A submarine dives to a depth of 650 ft. below the surface of the ocean. Later it climbs 150 ft. before descending an additional

80 ft. Use an integer to represent the depth of the submarine.

1 answer:

DanielleElmas [232]3 years ago

3 0

Answer:

-580

Step-by-step explanation:

go down is negative, go up is positive

so -650+150-80= -580

You might be interested in

A truck's varying distance from the warehouse, d , measured in miles is modeled by the formula d=t2+50t where t is the varying n

Dafna1 [17]

Answer:

7.596 hours
57.596 mph

Step-by-step explanation:

a) The distance is given as ...

d = t^2 +50t

We want to find the value of t for which this distance is 437.5 miles. That means we want to solve the equation ...

437.7 = t^2 +50t

We can complete the square by adding the square of half the t coefficient, (50/2)^2 = 625

437.5 +625 = t^2 +50t +625

1062.5 = (t +25)^2

√1062.5 -25 = t ≈ 7.596 . . . . hours

It will take the truck about 7.596 hours to reach its destination.

__

b) Average speed is total distance divided by total time. Here, we can find the average speed as ...

d/t = (t^2 +50t)/t = t +50

That is, the average speed over the 437.5-mile trip is ...

7.596 +50 = 57.596 . . . . miles per hour

The car must maintain a constant speed of 57.596 mph to reach the destination at the same time.

_____

When solving equations using a graphing calculator, I like to put them into a form such that the solution is the x-intercept. Here, that means the equation we're solving is ...

x^2 +50x -437.5 = 0 . . . . x is hours to destination

8 0

3 years ago

Triangles A B C and N M L are shown. Angles B A C and L N M are right angles.

coldgirl [10]

Answer:

A. Angle B is congruent to angle M

C. Triangle ABC was rotated and dilated by a scale factor between 0 and 1

E. Angle C is congruent to angle L

How Do I Know?

Because I literally just did it just now and that's what it said that the answers were. January 9th, 2021- Edge :)

3 0

3 years ago

Read 2 more answers

A satellite orbits in an elliptical path such that the Earth's center is one of the foci of the ellipse. The distance from the c

Virty [35]

Answer:

$\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1$

Step-by-step explanation:

The equation of the ellipse with centre at origin and major axis along the x-axis is:

$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$

Where 2a is the length of the major axis and 2b is the length of the minor axis. The following equation shows the relationship between the foci (c), major axis and minor axis:

a² = c² + b²

Since the earth center is one of the foci of the ellipse with distance from the center of the orbit to the Earth's center is 4,100 miles. Therefore the foci is at (4100, 0).

Hence c = 4100

Also, The foci are halfway between the center and the major axis vertices. Therefore the distance between the center and the major axis vertices (a) is twice the distance from the center of the orbit to the Earth's center.

a = 2c = 2(4100) = 8200 miles

We can get the distance from the center to the minor axis vertices (b), using:

a² = c² + b²

8200² = 4100² + b²

b² = 8200² - 4100²

b² = 50430000

b=√50430000

b = 7101.4 miles

The ellipse equation is:

$\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1$

5 0

3 years ago

Read 2 more answers

Help me pleaseeeeeeREEEEEEEEE

lions [1.4K]

First answer: x = 3

How?

3x - 7 = 2

3x = 2 + 7

3x = 9

x = 9/3

x = 3

Second Answer:= x=5

How?

3 + 2x - (x + 1) = 3x - 6

-3x + 2x - x = -6 - 3 - 1

-2x = -10

x = 5

7 0

3 years ago

Enjoy ur day guys lol :)

Angelina_Jolie [31]

Answer:

how was yours??

hope it was nice

3 0

3 years ago

Read 2 more answers