After visiting the Titanic, Captain Ngoc and Commander Chris are taking the SSN-21 Seawolf submarine back to the surface of the water. They start 2000 meters below the surface of the water and ascend at 55 meters per hour. A) Write an equation in slope-intercept form to model this situation where D is the distance under water and H is the time in hours. B) How many meters below the surface is the submarine after 6 hours?

Answers

Answer 1

Answer:

D(h) = 55h - 2000

1670 m

Step-by-step explanation:

Given :

Starting elevation, D = - 2000 m (2000 m below sea level)

Rate, h = 55 m per hour.

The slope - intercept relation :

y = mx + c

m = slope = rate of change

c = intercept

In the scenario given :

-2000 = intercept

55 = rate of change

D(h) = 55h - 2000

After 6 hours :

D(6) = 55(6) - 2000

D(6) = - 1670 m


Related Questions

The souvenir stand sells hats, postcards, and magnets. They have twice as many postcards as hats, and 100 more magnets than postcards.
Let h represent the total number of hats. Write an expression in terms of h for the total number of items they have to sell.

Answers

Answer:

4h + 100

Step-by-step explanation:

h = total number of hats

postcards = 2h

magnets = h + 100

Add them all together:

h + 2h + h + 100 = 4h +100

Lion 30% Eagle 40 Anaconda 20% Crane 10% If 80 people were surveyed, how many more people voted for eagle than for anaconda? ​

Answers

Answer:

16

Step-by-step explanation:

8 =10%

8x2=16

16 is 20%

32=40%

8x4=32

32-16

simplify: (13^2x+1 -5×169^x) / 9×169^x

Answers

[ 13^(2x + 1) - 5 × 169^x ] ÷ [ 9 × 169^x ] =

Expanding 1 from 13^(2x + 1 )

[ 13 × 13^(2x) - 5 × 169^x ] ÷ [ 9 × 169^x ] =

13 goes to the power of 2

[ 13 × 169^x - 5 × 169^x ] ÷ [ 9 × 169^x ] =

Factorize 169^x from both parts

[ ( 169^x ) × ( 13 - 5 ) ] ÷ [ ( 169^x ) × 9 ] =

Simplify 169^x

[ 1 × ( 13 - 5 ) ] ÷ [ 1 × 9 ] =

[ 13 - 5 ] ÷ [ 9 ] =

[ 8 ] ÷ [ 9 ] =

8 / 9

You flip a coin three times in a row. What is the probability you will get three tails?

Answers

Answer:

50/50

Step-by-step explanation:

Answer:

1/8 because {(T , T , T), (T , T , H),(T , H , T), (T , H , H),(H , H , H),(H , H , T),(H , T , H),(H , T , T)} which has 8 combinations in total so that means 1/8... 8 is denominator because 8 combinations 1 is for each one.

5y + 1 = 31 what’s the solution of y

Answers

Answer:

y = 6

Step-by-step explanation:

5y + 1 = 31

Subtract 1 from each side

5y + 1-1 = 31-1

5y = 30

Divide by 5

5y/5 = 30/5

y = 6

Answer:

y = 6

Step-by-step explanation:

5y means 5 multiplied by something. 5y + 1 equals 31. So 5 multiplied by 6 equals 30 + 1 = 31, which is the given answer.

Find the sum of the three expressions and choose the correct answer.

-2u3v + 5uv - 1

7u3v - 2u2v2

5u2v2 - uv + 6

5 u3v + 3 u2v2 + 4 uv + 5
5 u3v - 3 u2v2 + 4 uv - 5
-5 u3v - 3 u2v2 + 4 uv + 7

Answers

⫸ ANSWER ⫷

5 u³v + 3u²v² + 4 uv + 5 is the ans

HOPE IT HELPS YOU!!!!!!(:

Answer:

5 u³v + 3u²v² + 4 uv + 5

Step-by-step explanation:

0.54+13,500=?/100+13,500 help pls

Answers

Answer:

54

Step-by-step explanation:

How long an umbrella will fit in the bottom of a suitcase 1.5 feet by 2.5 feet

Answers

Answer:

pointing towards the top

Step-by-step explanation:

1.5 feet long 2.5 feet wide the suitcase is so straight

HOPE OT HELPS

I will give brainliest pls help

Answers

Answer:

6) x = 11;  y = 11[tex]\sqrt{2}[/tex]

7) x = 9;  y = 9

Step-by-step explanation:

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y=-1/2x-1

Step-by-step explanation:

Triangle ABC is congruent to Triangle DEF. What corresponds with

Answers

Answer:

<E

Step-by-step explanation:

Answer:

∠E is the answer I believe

If i'm wrong correct me!!

(°◡°♡).:。

someone please help me!!!!!!​

Answers

Answer:

169×5=845

Step-by-step explanation:

ok now mark me brainlist

I don't understand this problem

Answers

Answer:  1.8

Note: 1.8 = 9/5

===========================================================

Explanation:

This problem may be strangely worded, so I'll try to phrase it differently. That part will come in a later section below (specifically section 3).

For now, let's just find the probability of finding two white marbles if we replace the first marble chosen. We consider this a "replacement" situation.

We have 5 blue, 3 red and 2 white marbles. That means 5+3+2 = 10 total. The probability of picking white is 2/10 = 1/5. Since the first marble is replaced, the probability of picking white the second time is still 1/5.

The probability of picking two white marbles is (1/5)*(1/5) = 1/25 = 0.04 = 4%

---------------------------------

Now let's consider a "no replacement" situation. We won't put the marble back, or we won't replace it with an identical copy. After the first marble is picked, we have 10-1 = 9 marbles left and 2-1 = 1 white marble left.

The probability of getting white on the second selection, after no replacement is made, is 1/9 instead of 2/10 = 1/5

The probability of getting two white marbles in this scenario is (2/10)*(1/9) = (2*1)/(10*9) = 2/90 = 1/45 = 0.0222 = 2.22% approximately

We can see that there is a difference in probabilities between "replacement" and "no replacement" when we pick two white marbles like this.

---------------------------------

The fractional answer to the first section was 1/25. Let A = 1/25

The fractional answer to the second section was 1/45. Let B = 1/45

A and B are the probabilities for "replacement" vs "no replacement" in that order.

Your teacher wants to know how many times greater the value of A is compared to B.

In symbols, your teacher wants to know the value of k in the equation A = Bk

So...

A = Bk

1/25 = (1/45)k

1/25 = k/45

1*45 = 25*k

45 = 25k

25k = 45

k = 45/25

k = (9*5)/(5*5)

k = 9/5

k = 1.8

Either the fractional or decimal version of k would work as the answer. It might sound better if you go with the decimal version, though again, both values are equivalent.

The value of A is 1.8 times greater compared to the value of B.

Find X in the given figures.

Answers

The correct answer is 6

I REALLY NEED HELP!
Solve the equation:

Answers

The answer is that x=-1
Here is my method

X=-1

no problem, lllllllllllollllllllll

please help asap!! :)

Answers

Answer:

[tex]C\approx 5.14[/tex]

Step-by-step explanation:

The circumference is the distance around a complete circle: in essence, the perimeter of a circle. The formula to find the circumference of a circle is the following:

[tex]C=(d)(\pi)[/tex]

Where (d) represents the diameter, the largest cord that can be drawn in a circle, it goes from one end to another, passing through the center of the circle. The parameter ([tex]\pi[/tex]) represents the number (3.1415...). However, one is given a semicircle, thus one must divide the result in two, and then add the value of the diameter to find the perimeter of the given object. Therefore the equation for the circumference of this circle is as follows:

[tex]C=\frac{(d)(\pi)}{2}+(d)[/tex]

Substitute in the given value,

[tex]C=\frac{(2)(3.1415)}{2}+(2)[/tex]

Simplify,

[tex]C=3.1415...+2[/tex]

[tex]C=5.1415[/tex]

[tex]C\approx 5.14[/tex]

The five members of the Garcia family each buy train tickets. During the train ride, each family member buys a boxed lunch for $6.00. If the total cost of the trip is $240, what is the price of each train ticket? Show me the equation and show me the steps to solve it and finish with a sentence describing what a train ticket costs.

Answers

Answer:

A train ticket costs $42

Step-by-step explanation:

5x + 30 = 240 (6 * 5 = 30, cost of lunch times 5 members of family)

5x = 240 - 30

5x = 210

x = 42

A train ticket costs $42.

estimate the following product in scientific notation, and then select best answer for the products power of 10.

(8.91 x 10²)(3.3 x 10¹²)

A. 2.7
B. 14
C. 15
D. 27

C is the correct answer.​

Answers

It’s 15 I know this.......

Simplify the expression. Write your answer in positive exponent form:
(1/4) ^3 x (1/4) ^7

Answers

Answer:

1/4¹⁰

Step-by-step explanation:

this is the the simplified version for the question

A person is 89-93 pounds depending on the day, 13 years old, and 5 foot tall. Is this an appropriate weight?​

Answers

Answer:

I don't think so cause average in my town is 100 to 109

Answer:

I don't think so

Step-by-step explanation:

¯\_(ツ)_/ i can't tell you

Can someone help me with this? 13 points!

Answers

depth at point B = 5 m

Step-by-step explanation:

y = -(2/5)x - 1

Point C is located 10 m from the origin O which means that x = 10. Using this value in our equation,

y = -(2/5)(10) - 1

= -4 - 1

= -5

Can someone PLEASE help me with this? I will give brainliest

Answers

Answer:

The area is about 25/2 inches^2

Step-by-step explanation:

You are given an isoceles triangle; the sides equal to each other are radiuses of the circle G.  They are both 5 inches in length.  

The angle between the two equal sides is equal to 88 degrees.

To find the height of the triangle, draw a line perpendicular to  GH and solve for the lengths of the sides.  

sin(88) = x/5

5sin88 is about 5 it is (4.99695)

Multiply the side length GH (5) and the solved height and divide by two;

The area is about 25/2 inches^2

find the area of a triangle with vertices A(1,4)B(1,7),C(4,7)​

Answers

9/2 Sq. units is a Right answer...

Answer:

4.5 units²

Step-by-step explanation:

Given ΔABC with vertices:

A(1,4), B(1,7), C(4,7)​

We observe that

AB is vertical segment with length:

7 - 4 = 3 units

BC is horizontal segment with length:

4 - 1 = 3 units

The area:

A = 1/2bhA = 1/2(3)(3) = 9/2 = 4.5 units²

i need help plsssssssss

Answers

5 )

x^2 = 5^2 + 5^2

x^2 = 2 × 5^2

x = √( 2 × 5^2 )

x = 5√2 cm

_____________

6 )

x^2 = 30^2 + 40^2

x^2 = 900 + 1600

x^2 = 2500

x = √2500

x = 50 yards

Yolanda receives a $1,000 dollar raise each year from her starting salary of $40,800.
After 10 years, how much total gross income will she have earned for all 10 years?
For example: $40.800 in year one, $41,800 in year two etc.
helppp

Answers

Answer:50,400

Step-by-step explanation:

I ready diagnostic time!!

Answers

Answer:

I think choose (D)

[tex] \frac{4}{10} and \frac{10}{25} [/tex]

please help i am confused

Answers

I’m not sure about the second half but since it’s a triangle all of the angles add up to 180° so you can find the third angle by adding 61 and 90 then subtracting that from 180 to get the third angle

Mara drew this net to find the surface area of a triangular prism. Which is the surface area of the triangular prism?
A.312
B.402
C.372
D.492
(Square cm)​

Answers

Answer:

C.372

Step-by-step explanation:

A prism is a three dimensional shape with two identical shapes facing each other known as bases.

A triangular prism has two triangular bases and three rectangle.

From the net attached:

Area of triangle 1 = area of triangle 2 = (1/2) * base * height = (1/2) * 10 cm * 12  cm = 60 cm²

Area of rectangle 1 = Area of rectangle 2 = length * width = 13 cm * 7 cm = 91 cm²

Area of rectangle 3 = base * height = 10 cm * 7 cm = 70 cm²

Total surface area = Area of triangle 1 + Area of triangle 2 + Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3

Total surface area = 60 + 60 + 91 + 91 + 70 = 372 cm²

Recycle
Here is a number machine.
input
x 5
- 3
output
Contr
Pane
a) Work out the output when the input is 8
(1)
I
Art
b) Work out the input when the output is 42
(2)
D &

Answers

Answer:

(a) Output = 37

(b) Input = 9

Step-by-step explanation:

Given

[tex]y =x5 - 3[/tex]

Solving (a): Output, when input = 8

This means that, we solve for y when x = 8

So, we have:

[tex]y =x5 - 3[/tex]

[tex]y =8*5 - 3[/tex]

[tex]y =40 - 3[/tex]

[tex]y = 37[/tex]

Solving (b): Input, when output = 42

This means that, we solve for x when y = 42

So, we have:

[tex]y =x5 - 3[/tex]

[tex]42 = x5 - 3[/tex]

Collect like terms

[tex]x5 = 42 + 3[/tex]

[tex]x5 = 45[/tex]

Divide both sides by 5

[tex]x = 9[/tex]

please answer fast
needed as soon as possible

Answers

Answer:

Option B

Step-by-step explanation:

Equation of the graph,

f(x) = x²

If the graph is translated 5 units to the right,

g(x) = f(x - 5)

Therefore, g(x) = (x - 5)²

If the function 'g' is translated 3 units up,

h(x) = g(x) + 3

Therefore, h(x) = (x - 5)² + 3

If the function 'h' is vertically compressed by a factor of [tex]\frac{2}{3}[/tex],

Then the new function will be,

k(x) = [tex]\frac{2}{3}(x-5)^2+3[/tex]

Option B will the correct option.

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