What is the solution to the differential equation dydx=5y2 with the initial condition y(0) = 3?

ValentinkaMS [17]

$\sqrt{33 + \sqrt{4 + \sqrt{50 \cos(60°) } } }$

Now, we know cos(60°) = $\frac {1}{2}$ . So put the value there.

$\sqrt{33 + \sqrt{4 + \sqrt{50 \times \frac{1}{2} } } } \\ = \sqrt{33 + \sqrt{4 + \sqrt{25} } } \\ = \sqrt{33 + \sqrt{4 + 5 } } \\ = \sqrt{33 + \sqrt{9} } \\ = \sqrt{33 + 3} \\ = \sqrt{36} \\ = 6$

Hence LHS = RHS [Proved]

Hope you could understand.

If you have any query, feel free to ask.

4 0

3 years ago

Using mixed numbers, write a problem in which an estimate is enough to solve the problem.

KengaRu [80]

explain:

Estimating Differences of Fractions and Mixed Numbers

Estimating Differences of Fractions and Mixed NumbersRecall that estimation is a method for finding an approximate solution to a problem. Even when you are asked to find an exact ko, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.

, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0,

, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0, 12

, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0, 12, and 1 to help you to estimate differences.

, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0, 12, and 1 to help you to estimate differences.Here are the steps for estimating the differences of fractions and mixed numbers using benchmarks.

7 0

3 years ago

PLEASE help

astraxan [27]

Answer:

The percentage of people should be seen by the doctor between 13 and

17 minutes is 68% ⇒ 2nd term

Step-by-step explanation:

* Lets explain how to solve the problem

- Wait times at a doctor's office are typically 15 minutes, with a standard

deviation of 2 minutes

- We want to find the percentage of people should be seen by the

doctor between 13 and 17 minutes

* To find the percentage we will find z-score

∵ The rule the z-score is z = (x - μ)/σ , where

# x is the score

# μ is the mean

# σ is the standard deviation

∵ The mean is 15 minutes and standard deviation is 2 minutes

∴ μ = 15 , σ = 2

∵ The people should be seen by the doctor between 13 and

17 minutes

∵ x = 13 and 17

∴ z = $\frac{13-15}{2}=\frac{-2}{2}=-1$

∴ z = $\frac{17-15}{2}=\frac{2}{2}=1$

- Lets use the standard normal distribution table

∵ P(z > -1) = 0.15866

∵ P(z < 1) = 0.84134

∴ P(-1 < z < 1) = 0.84134 - 0.15866 = 0.68268 ≅ 0.68

∵ P(13 < x < 17) = P(-1 < z < 1)

∴ P(13 < x < 17) = 0.68 × 100% = 68%

* The percentage of people should be seen by the doctor between

13 and 17 minutes is 68%

6 0

3 years ago

Help me answer this question

Simora [160]

Answer:

c

Step-by-step explanation:

25/6 = 4.166666666667

sine it is the 6 that is repetitive, we place the bar on the 6 only

6 0

3 years ago

1. A rubber band stretches to 350% of its original length

ANEK [815]

Answer:

8.5 cm

Step-by-step explanation:

original length: x

3.5x = 29.75

divide both sides of equation by 3.5

x = 8.5 cm

3 0

3 years ago