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Zarrin [17]
2 years ago
15

Wite a differential equation in which y^2= 4(t + 1) is a solution.

Mathematics
1 answer:
Savatey [412]2 years ago
5 0
Answer: dy/dt 2y = 4
Explanation:
The differential equation can be found by taking the derivative of y with respect to t of both sides of this equation.
Derivative of y^2 becomes 2y * dy/dt.
4(t+1) can be distributed to equal 4t + 4.
Derivative of 4t + 4 becomes 4.
Therefore, a possible differential equation is dy/dt * 2y = 4. Can check by separating and integrating.
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3. Show how √5 can be represented on the number line.​
asambeis [7]

Answer:

Take a line segment AB = 2 units (consider 1 unit = 2 cm) on x-axis.

Draw a perpendicular on B and construct a line BC = 1 unit length.

Join AC which will be √5 (Pythagoras theorem). Take A as center, and AC as radius draw an which cuts the x-axis at point E.

The line segment AC represents √5 unit

3 0
3 years ago
Each nickel is $0.05. Write and solve an equation to determine the total number of nickels needed to make $2.25
Alexeev081 [22]

Answer:

you need 45 nickels

Step-by-step explanation:

5 0
3 years ago
The pyramid shown has a square base that is 12 centimeters on each side. The slant height is 18 centimeters. What is the surface
Sav [38]
<span>The <u>correct answer</u> is:

576 sq. cm.

Explanation:

The surface area of a figure is the sum of the areas of the faces of the figure.

The slant height goes from the apex of the pyramid along a face and is perpendicular to the base at the bottom of that face. This gives us 2 measurements of each triangular face of the pyramid: the height (the slant height of the pyramid is the height of the triangular face), 18 cm, and the base <span>of the triangular face, 12 cm.

The formula for the area of a triangle is A = 1/2bh; using our measurements we have:
A = 1/2(12)(18) = 108 sq. cm.

There are 4 triangular faces on a square pyramid, and each will have an area of 108 sq. cm.; this gives us:
4(108) = 432 sq. cm.

The area of the base is given by length times width, or 12*12 = 144 sq. cm.

This gives us a total surface area of 432+144=576 sq. cm.</span></span>
8 0
3 years ago
Read 2 more answers
there are 100 officials at the race. you read that the total cost of all the officials for one day is 20 654. how much does each
DaniilM [7]

Answer:

$206.54

Step-by-step explanation:


Divide the number of officials by the total days pay to get the pay for each official working the race

3 0
3 years ago
What is .48 divided by 9.23
il63 [147K]

Answer:

The answer is 0.052.

Step-by-step explanation:

Given:

.48 divided by 9.23.

Now, to solve it:

0.48 divided by 9.23.

0.48\div 9.23

=0.052.

Therefore, the answer is 0.052.

4 0
3 years ago
Read 2 more answers
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