1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Art [367]
3 years ago
11

A diver begins at sea level and dives down 200 feet. He ascends at a steady rate of 12 and one-third feet per minute for 4. 5 mi

nutes. Which of the following numerical expressions represents the final depth of the diver? 200 12 and one-third(4. 5) 200 – 12 and one-third(4. 5) –200 12 and one-third(4. 5) –200 – 12 and one-third(4. 5).
Mathematics
1 answer:
dexar [7]3 years ago
6 0

The diver's depth is 55.485 feet.

Option B represents the correct expression of the equation.

<h2>How do you express the given condition in an equation form?</h2>

Given that the total depth is 200 feet. the steady rate of the diver is 12 and one-third feet per minute. The total time taken by the diver is 4.5 minutes.

The above condition can be written in equation form is given below.

Total Depth = Steady Rate per Minute \times Total Time

200 = (12+\dfrac {1}{3}) \times 4.5

200 - ((12+\dfrac{1}{3}) \times 4.5) = 0

Hence we can conclude that option B represents the correct form of the equation.

To know more, follow the link given below.

brainly.com/question/7161930.

You might be interested in
How do u get the answer for 42x3/6
sasho [114]
42*3/6 is equal to 42*1/2, or 21.
8 0
3 years ago
Using the quadratic formula to solve x? + 20 = 2x, what are the values of x?
Sergio [31]
I am not sure if the “+” was supposed to go there or if that was just a typo, so I do apologize if this is wrong... but if it doesn’t belong in the equation at all, 20 = 2X is a fairly simply multiplication problem. You are to divide both sides by the 2 and you should get X = 10, because 2 goes into 20, 10 times; and the 2 goes into 2 only once, therefore the 2 now gets cancelled out.

Answer: 20 divided by 2 = 2x divided by 2 is now 10 = X.

Really hope this helps you, have a good day :)
6 0
3 years ago
In this problem we consider an equation in differential form Mdx+Ndy=0. (4x+2y)dx+(2x+8y)dy=0 Find My= 2 Nx= 2 If the problem is
zheka24 [161]

Answer:

f(x,y)=2x^2+4y^2+2xy=C_1\\\\Where\\\\y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )

Step-by-step explanation:

Let:

M(x,y)=4x+2y\\\\and\\\\N(x,y)=2x+8y

This is and exact equation, because:

\frac{\partial M(x,y)}{\partial y} =2=\frac{\partial N}{\partial x}

So, define f(x,y) such that:

\frac{\partial f(x,y)}{\partial x} =M(x,y)\\\\and\\\\\frac{\partial f(x,y)}{\partial y} =N(x,y)

The solution will be given by:

f(x,y)=C_1

Where C1 is an arbitrary constant

Integrate \frac{\partial f(x,y)}{\partial x} with respect to x in order to find f(x,y):

f(x,y)=\int\ {4x+2y} \, dx =2x^2+2xy+g(y)

Where g(y) is an arbitrary function of y.

Differentiate f(x,y) with respect to y in order to find g(y):

\frac{\partial f(x,y)}{\partial y} =2x+\frac{d g(y)}{dy}

Substitute into \frac{\partial f(x,y)}{\partial y} =N(x,y)

2x+\frac{dg(y)}{dy} =2x+8y\\\\Solve\hspace{3}for\hspace{3}\frac{dg(y)}{dy}\\\\\frac{dg(y)}{dy}=8y

Integrate \frac{dg(y)}{dy} with respect to y:

g(y)=\int\ {8y} \, dy =4y^2

Substitute g(y) into f(x,y):

f(x,y)=2x^2+4y^2+2xy

The solution is f(x,y)=C1

f(x,y)=2x^2+4y^2+2xy=C_1

Solving y using quadratic formula:

y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )

4 0
3 years ago
name the set of 6 consecutive integers starting with -3 put the set in braces and put commas between the elements of the set
melisa1 [442]
6-3=3 that is the answer ok
6 0
3 years ago
Identify the dependent and independent variables in each situation.
klemol [59]
A. independent (x) - expenses, dependent (y) - total cost
B. independent (x) - area, dependent (y) - price
C. independent (x) - time, dependent (y) - distance
D. independent (x) - size of carton, dependent (y) - number of items
    
6 0
3 years ago
Read 2 more answers
Other questions:
  • Evaluate each expression.
    11·1 answer
  • A laboratory technician needs to make a 63-liter batch of a 20% acid solution How can the laboratory technician combine a batch
    6·2 answers
  • Always sometimes never: two angles of a triangle add up to to 90°
    8·1 answer
  • Solve the equation for y<br> 9x - 3y = 12
    13·2 answers
  • I need help ASAP. Offering 30 points
    7·1 answer
  • A number cube with faces labeled from 1 to 6 will be rolled once.
    11·1 answer
  • finding the distance from (–6, 2) to the origin. Use (0, 0) as (x1, y1). d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1)
    5·1 answer
  • Name a perfect square between 60 and 80.
    15·2 answers
  • A car is traveling at a speed of 30 miles per hour. What is the car's speed in kilometers per hour? How many kilometers will the
    5·1 answer
  • Help please I will give you the brainliest
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!