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pochemuha
3 years ago
15

What is the answer for "a boat travels 4 miles in 4 hours (with a constant speed). how far can it travel in 2 hours (with the sa

me speed)?
Mathematics
1 answer:
ElenaW [278]3 years ago
4 0
4 miles in 4 hrs.....4/4 =1...thats 1 mile per hr

for 2 hrs.....at 1 mile per hr = 2 miles <==
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5. Find the general solution to y'''-y''+4y'-4y = 0
CaHeK987 [17]

For any equation,

a_ny^(n)+\dots+a_1y'+a_0y=0

assume solution of a form, e^{yt}

Which leads to,

(e^{yt})'''-(e^{yt})''+4(e^{yt})'-4e^{yt}=0

Simplify to,

e^{yt}(y^3-y^2+4y-4)=0

Then find solutions,

\underline{y_1=1}, \underline{y_2=2i}, \underline{y_3=-2i}

For non repeated real root y, we have a form of,

y_1=c_1e^t

Following up,

For two non repeated complex roots y_2\neq y_3 where,

y_2=a+bi

and,

y_3=a-bi

the general solution has a form of,

y=e^{at}(c_2\cos(bt)+c_3\sin(bt))

Or in this case,

y=e^0(c_2\cos(2t)+c_3\sin(2t))

Now we just refine and get,

\boxed{y=c_1e^t+c_2\cos(2t)+c_3\sin(2t)}

Hope this helps.

r3t40

5 0
4 years ago
Two congruent squares and a parallelogram were used to form the figure shown. 3 meters, 6 meters, 2.8 meters, 3 meters What is t
elixir [45]

The area of a figure is the amount of space the figure occupies

The surface area of the figure is 34.8 square meters

<h3>How to determine the area of the shape</h3>

From the question, we have:

  • The dimensions of the congruent squares are 3 m by 3 m
  • The dimensions of the parallelogram are height of 2.8 m, and base of 6 m

So, the area of the figure is:

Area = 2 * Area of square + Area of parallelogram

This gives

Area = 2 * (3m * 3m) + 2.8m * 6m

Evaluate the products

Area = 18m^2 + 16.8m^2

Evaluate the sum

Area = 34.8m^2

Hence, the surface area of the figure is 34.8 square meters

Read more about surface areas at:

brainly.com/question/24571594

3 0
2 years ago
(y x 1) + 2 and y + 2, is it equivalent or non equivalent?
enot [183]

Given:

The two expressions are

(y\times 1)+2

y+2

To find:

Whether the given expression are equivalent or non-equivalent.

Solution:

If two expressions are looking different but they are equal after simplification, then they are called equivalent expressions.

The first expression is

(y\times 1)+2=y+2

The first expression is equal to the second expression after the simplification.

Therefore, the given expressions are equivalent.

5 0
3 years ago
a vehicle uses 1 1/8 gallons of gas to travel 13 1/2 miles. at this rate how many miles can the vehicle travel per gallon of gas
elena55 [62]

Answer:

The vehicle can travel 12 miles per gallon of gas.

Step-by-step explanation:

  • The number of gallons used by a vehicle = 1 1/8 gallons

i.e.

1\frac{1}{8}=\frac{9}{8} gallons

  • The number of miles traveled by a vehicle = 13 1/2 miles

i.e.

13\frac{1}{2}=\frac{27}{2} miles

Thus,

Total Gallons =9/8 gallons

Total Distance in miles = 27/2 miles

Hence:

Unit Rate = [27/2 miles] / [9/8 gallons]

                = 12 miles per gallons  ∵ \frac{27}{2}\div \frac{9}{8}=12

   

Therefore, the vehicle can travel 12 miles per gallon of gas.

8 0
3 years ago
The monthly revenue, f(x) for the Sweet Treats Ice Cream truck
irakobra [83]

Answer:

The vertex is (-4, -52), and it represents the minimum for the function.

Step-by-step explanation:

3 0
3 years ago
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