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
vovikov84 [41]
3 years ago
5

Two jets leave an air base at the same time and travel in opposite directions. One jet travels 89 mph slower than the other. If

the two keys are 4844 miles apart after 4 hours. What is the rate of each jet?
Mathematics
1 answer:
k0ka [10]3 years ago
8 0

Answer:

Faster jet = 650

Slower jet = 650 - 89 = 561

Step-by-step explanation:

Given

total distance apart = 4844

t = 4 hours

r1 = r

r2 = r - 89

Equations

d = r * t

r*t + (r - 89)*t = 4844

Solution

r*4 + (r - 89)*4 = 4844

4r + 4r - 356 = 4844                 Combine the left

8r - 356 = 4844                        Add 356 to both sides

8r = 4844 + 356

8r = 5200                                 Divide both sides by 8

r = 5200/8

r = 650

You might be interested in
Please help very urgent!!
sashaice [31]

9514 1404 393

Answer:

  the n-th root of the ratio of ending to starting values, less 1

Step-by-step explanation:

When I have starting and ending values over a time period, I usually use those directly in the exponential equation. If you're asked for a percentage growth rate, then you have to convert the growth factor to a growth rate.

__

The exponential equation can be written ...

  f(t) = (initial value) × ((final value)/(initial value))^(t/(time period))

In your example case, this would be ...

  f(t) = 2 × (20/2)^(t/18)

  f(t) = 2(10^(t/18)) . . . . . . simplified

__

To convert this to the form ...

  f(t) = 2(1 +(growth rate))^t

recognize that ...

  (1 +(growth rate)^t = (10^(1/18))^t

So, you need to find the value of ...

  10^(1/18) = 10^(1/18) ≈ 1.13646 = 1 + 13.646%

Then the growth rate is about 13.6% each week.

__

Sometimes, you want to use this in the form ...

  f(t) = (initial value)×(1 + (growth rate))^t

and sometimes you want the form ...

  f(t) = (initial value)×e^(kt)

When you solve for k, you find it is ...

  k = ln(1 + (growth rate)) . . . . . . . . where ln(x) is the natural logarithm of x

Here, that is ...

  k = ln(10^(1/18)) = ln(10)/18 ≈ 0.12792

__

Your final growth equation could be any of ...

  f(t) = 2(10^(t/18)) . . . . . . . my personal favorite, as no rounding is involved

  f(t) = 2(1.13646^t)

  f(t) = 2e^(0.12792t)

5 0
3 years ago
Suppose a person eats 2000 food calories on average per day. Note that 1 calorie= 4.184 joules and a food calorie = 1000 calorie
Crazy boy [7]

Answer: 0.097\text{\ J/s}

Step-by-step explanation:

Given :  1 calorie= 4.184 joules

A food calorie = 1000 calories = 4184 joules.

Then, 2000 food = 2\times4184=8368 joules   [By Unitary method]

We know that : \text{Power}=\dfrac{\text{Energy}}{\text{Time}}

Since 1 day = 24 hours

and 1 hour = 3600 seconds

Then, 24 hours = 24\cdot3600=86400 seconds.

Now,   \text{Power}=\dfrac{8368}{86400}

=0.0968518518519\approx0.097\text{\ J/s}

Hence, the average power of this intake = 0.097\text{\ J/s}

6 0
3 years ago
Which ordered pair is a solution of this
natali 33 [55]

Answer:

(- 3, 2 )

Step-by-step explanation:

To determine which ordered pair is a solution, substitute the x and y- coordinates of the given points into the left side of the equation.

If the result is equal to the right side then the pair is a solution.

(2, - 2)

- 6(2) - 7(- 2) = - 12 + 14 = 2 ≠ 4 ← not a solution

(- 2, 2 )

- 6(- 2) - 7(2) = 12 - 14 = - 2 ≠ 4 ← not a solution

(- 3, 2 )

- 6(- 3) - 7(2) = 18 - 14 = 4 = right side ← a solution

(2, - 3 )

- 6(2) - 7(- 3) = - 12 + 21 = 9 ≠ 4 ← not a solution

(- 3,2 ) is a solution of the equation

7 0
3 years ago
Read 2 more answers
The volume of a right circular cone that has a height of 18.9 ft and a base with a radius of 15.8 ft.
Elden [556K]
The answer is 783.8696
6 0
3 years ago
Solve through substitution
Ivanshal [37]

For this case we have the following system of equations:

-3x + 3y = 4\\y = x + 3

Substituting the second equation into the first we have:

-3x + 3 (x + 3) = 4\\-3x + 3x + 9 = 4\\9 = 4

The equality is not fulfilled, therefore the system has no solution.

The lines do not intersect.

Answer:

The system has no solution.

5 0
3 years ago
Other questions:
  • Suppose about 400,000 people live in an area of 160 square miles. What is the best estimate for the population density? A) 1,800
    15·2 answers
  • Cheryl volunteers to mow the lawn at a retirement home. She can mow 1/4 of the lawn in 3/4 of an hour. At that rate, how many ho
    15·1 answer
  • Tara read 80 pages of a book in 3 hours. At this rate, how
    11·2 answers
  • A boat traveled 280 miles downstream and back. The trip downstream took 7 hours. The trip bck took 14 hours. Find the speed of t
    11·1 answer
  • What is 897.347 rounded to the nearest hundredth
    5·2 answers
  • P = − x 2 + 150 x − 4400 p = - x 2 + 150 x - 4400 is a profit formula for a small business. Find the set of x x -values that wil
    5·1 answer
  • Uma pizzaria oferece em seu cardápio 12 sabores de pizza. Se um cliente pretende pedir 3 pizzas, então o número de maneiras que
    6·1 answer
  • A table cost $ 495.00 There is a 9% tax. What is the final price?
    6·2 answers
  • Write the rule for the linear function. Remember a function rule is written using f(x)
    7·1 answer
  • BRAINLIEST FOR CORRECT ANSWER: What is the area of this figure?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!