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
yan [13]
3 years ago
12

Ethan went on a 6 mile kayaking expedition down the Taos Box on the Rio Grande River last week. The expedition Was divided into

three 2-mile stages The first stage of the trip began at 2:30 and ended at 3:10 The second stage of the trip runs through the swiftest current. Ethan travels through the rapids at twice the speed as the first stage of the trip Ethan travels the third stage of the expedition at the same speed at the first stage What are the different speeds that Ethan travels during his expedition? At what time does Ethan arrives at the landing dock?
Mathematics
1 answer:
Ksivusya [100]3 years ago
4 0
Chibi form*
HI there. Here is your answer:
First section: 2:30-3:10 {40 min.}
Second secton:3:10-3:30 {20 min.}
Third stage:3:30-4:10 {40 min.}

Good luck Meow -Tyler (GLitCheD)

~<3
You might be interested in
when adding two rational numbers tell what the sign of the sum will be if one rational number is positive and one is negative
Mekhanik [1.2K]

Answer:

True

When you add two negative numbers the sum is always negative ex.

When you add two numbers with different signs get the difference and get the sign by the larger absolute value ex.

Step-by-step explanation:

8 0
2 years ago
PLEASE HELP Meeeeeeeeeeeeeeeeee
klemol [59]
The answer is A.Use a compound interest calculator. Multiple sites to use. For me, I had to use my head for a while
3 0
3 years ago
Use the grouping method to factor the polynomial below completely.<br> x - 3x² + 5x - 157
Levart [38]

Answer:

-3x^2+6x-157

Step-by-step explanation:

8 0
3 years ago
Complete the statement using always, sometimes, or never.
Fynjy0 [20]
I believe that, "A quadrilateral is sometimes a trapezoid”.
5 0
3 years ago
A box designer has been charged with the task of determining the surface area of various open boxes (no lid) that can be constru
Viktor [21]

Answer:

1) S = 2\cdot w\cdot l - 8\cdot x^{2}, 2) The domain of S is 0 \leq x \leq \frac{\sqrt{w\cdot l}}{2}. The range of S is 0 \leq S \leq 2\cdot w \cdot l, 3) S = 176\,in^{2}, 4) x \approx 4.528\,in, 5) S = 164.830\,in^{2}

Step-by-step explanation:

1) The function of the box is:

S = 2\cdot (w - 2\cdot x)\cdot x + 2\cdot (l-2\cdot x)\cdot x +(w-2\cdot x)\cdot (l-2\cdot x)

S = 2\cdot w\cdot x - 4\cdot x^{2} + 2\cdot l\cdot x - 4\cdot x^{2} + w\cdot l -2\cdot (l + w)\cdot x + l\cdot w

S = 2\cdot (w+l)\cdot x - 8\cdpt x^{2} + 2\cdot w \cdot l - 2\cdot (l+w)\cdot x

S = 2\cdot w\cdot l - 8\cdot x^{2}

2) The maximum cutout is:

2\cdot w \cdot l - 8\cdot x^{2} = 0

w\cdot l - 4\cdot x^{2} = 0

4\cdot x^{2} = w\cdot l

x = \frac{\sqrt{w\cdot l}}{2}

The domain of S is 0 \leq x \leq \frac{\sqrt{w\cdot l}}{2}. The range of S is 0 \leq S \leq 2\cdot w \cdot l

3) The surface area when a 1'' x 1'' square is cut out is:

S = 2\cdot (8\,in)\cdot (11.5\,in)-8\cdot (1\,in)^{2}

S = 176\,in^{2}

4) The size is found by solving the following second-order polynomial:

20\,in^{2} = 2 \cdot (8\,in)\cdot (11.5\,in)-8\cdot x^{2}

20\,in^{2} = 184\,in^{2} - 8\cdot x^{2}

8\cdot x^{2} - 164\,in^{2} = 0

x \approx 4.528\,in

5) The equation of the box volume is:

V = (w-2\cdot x)\cdot (l-2\cdot x) \cdot x

V = [w\cdot l -2\cdot (w+l)\cdot x + 4\cdot x^{2}]\cdot x

V = w\cdot l \cdot x - 2\cdot (w+l)\cdot x^{2} + 4\cdot x^{3}

V = (8\,in)\cdot (11.5\,in)\cdot x - 2\cdot (19.5\,in)\cdot x^{2} + 4\cdot x^{3}

V = (92\,in^{2})\cdot x - (39\,in)\cdot x^{2} + 4\cdot x^{3}

The first derivative of the function is:

V' = 92\,in^{2} - (78\,in)\cdot x + 12\cdot x^{2}

The critical points are determined by equalizing the derivative to zero:

12\cdot x^{2}-(78\,in)\cdot x + 92\,in^{2} = 0

x_{1} \approx 4.952\,in

x_{2}\approx 1.548\,in

The second derivative is found afterwards:

V'' = 24\cdot x - 78\,in

After evaluating each critical point, it follows that x_{1} is an absolute minimum and x_{2} is an absolute maximum. Hence, the value of the cutoff so that volume is maximized is:

x \approx 1.548\,in

The surface area of the box is:

S = 2\cdot (8\,in)\cdot (11.5\,in)-8\cdot (1.548\,in)^{2}

S = 164.830\,in^{2}

4 0
3 years ago
Other questions:
  • What is g? and explain
    6·1 answer
  • Find the area of the rhombus.
    13·2 answers
  • What is the equation of the line shown in the graph?
    9·1 answer
  • Ima just give all my points away.<br><br> P.S<br> I don't like you brainly.
    8·1 answer
  • Carl knitted 4 more scarves this year than last year. If he knitted 16% more scarves this year than last year, how many did he k
    7·1 answer
  • Solve for x. 8.2x−6.2−7.2x=14 Enter your answer, as a decimal, in the box. x =
    7·1 answer
  • Sin^2 (theta)-cos^2 (theta)=0
    5·1 answer
  • Ricardo has a wooden board that measures 5 feet in length. How many 1/4 foot long pieces can Ricardo cut from the board
    14·1 answer
  • Find the circumference of the circle rounded to the nearest 10th used 3.14 for pi
    6·1 answer
  • Decide whether the pair of lines is parallel, perpendicular, or neither.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!