2 years ago

Solve the given differential equation. y' = 5x^2 − 1/ 5 + 4y

Mathematics

1 answer:

baherus [9]2 years ago

4 0

Consider, please, this solution. If it is possible, check it in the alternative sources.

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What is the equation of a line that passes through the points (–3, 4) and (2, 8)?

Mrac [35]

Answer:

$\frac{y - 4}{x - ( - 3)} = \frac{8 - 4}{2 - (- 3)} \\ \frac{y - 4}{x + 3} = \frac{4}{5} \\ 5(y - 4) = 4(x + 3) \\ 5y - 20 = 4x + 12 \\ \boxed{4x - 5y + 32 = 0}$

<h2>4x-5y+32=0 is the right answer.</h2>

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2 years ago

The point (1,5) lies in quadrant II of a rectangular coordinate system

natali 33 [55]

Answer:

Step-by-step explanation:

Complex answer: For a point to be in quadrant II, it must have a negative x value and a positive y value.

Simple answer: The 1 would have to be negative to be in quadrant II, and it isn't

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2 years ago

Mileage tests are conducted for a particular model of automobile. If a 98% confidence interval with a margin of error of 1 mile

Llana [10]

Answer: 37

Step-by-step explanation:

Given : Significance level : $\alpha:1-0.98=0.02$

Critical value : $z_{\alpha/2}=z_{0.01}=2.33$

margin of error : E= 1 mile per gallon

Population standard deviation: $\sigma=2.6$ miles per gallon.

We know that when the population standard deviation is known then the formula to find the sample size is given by :

$n=(\dfrac{z_{\alpha/2}\times \sigma}{E})^2$

$n=(\dfrac{(2.33)\times 2.6}{1})^2=36.699364\approx37$ [Round to the next whole number.]

Hence, the required number of automobiles should be used in the test = 37

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3 years ago

Simplify (write without the absolute value sign): <br><br> |x÷3|, if x < 0

polet [3.4K]

Answer:

Step-by-step explanation:

zero divided by anything that is integral is zero and 3 in a integer

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Answer:

Step-by-step explanation:

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2 years ago

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