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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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Write the ratio 21 inches to 9 free as a fraction in simplest form​
saveliy_v [14]

Answer: 7/3

Step-by-step explanation:

21/9

7/3 is the fraction in simplest form

4 0
3 years ago
Find the remainder when x51+x is divided by x+1
kaheart [24]

Answer:

-2

Step-by-step explanation:

By definition, the remainder is the portion of the dividend that is not evenly divisible by the divisor. Basically, it is what's left over. In this case, -2 is the amount left over after dividing this equation.

3 0
3 years ago
50 POINTS
mamaluj [8]

Answer:

The answer is below

Step-by-step explanation:

The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds: A linear model with ordered pairs at 0, 60 and 2, 75 and 4, 75 and 6, 40 and 8, 20 and 10, 0 and 12, 0 and 14, 0. The x axis is labeled Time in seconds, and the y axis is labeled Height in feet. Part A: During what interval(s) of the domain is the water balloon's height increasing? (2 points) Part B: During what interval(s) of the domain is the water balloon's height staying the same? (2 points) Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest? Use complete sentences to support your answer. (3 points) Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds.

Answer:

Part A:

Between 0 and 2 seconds, the height of the balloon increases from 60 feet to 75 feet  at a rate of 7.5 ft/s

Part B:

Between 2 and 4 seconds, the height stays constant at 75 feet.

Part C:

Between 4 and 6 seconds, the height of the balloon decreases from 75 feet to 40 feet at a rate of -17.5 ft/s

Between 6 and 8 seconds, the height of the balloon decreases from 40 feet to 20 feet at a rate of -10 ft/s

Between 8 and 10 seconds, the height of the balloon decreases from 20 feet to 0 feet at a rate of -10 ft/s

Hence it fastest decreasing rate is -17.5 ft/s which is between 4 to 6 seconds.

Part D:

From 10 seconds, the balloon is at the ground (0 feet), it continues to remain at 0 feet even at 16 seconds.

3 0
3 years ago
What is the probability of rolling a sum of 3 on a standard pair of six-sided dice?
salantis [7]

To solve this problem, let us recall that the formula for probability is:

Probability = total number of successful events / total events

 

Where in this case, an event is considered to be successful if the sum is 3 on the pair of six sided dice.

 

First, let us calculate for the total number of events. There are 6 numbers per dice, therefore the total number of combinations is:

total events = 6 * 6 = 36

 

Next, we calculate for the total number of combinations that result in a sum of 3. We can identify that there are only two cases that result in sum of 3. That is:

1st case: first dice rolls 1, second dice rolls 2

2nd case: first dice rolls 2, second dice rolls 1

 

Hence, total number of successful events = 2. Therefore the probability is:

Probability = 2 / 36 = 1 / 18 = 0.0556 = 5.56%

5 0
3 years ago
In this scale drawing, every 0.5 inches equals 4 feet. what is the area of your square bedroom floor?
tankabanditka [31]
What are the measurements
6 0
3 years ago
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