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inysia [295]
3 years ago
14

Which table represents a linear function?

Mathematics
1 answer:
Natali5045456 [20]3 years ago
8 0

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The \:  \:  third \:  \:  table.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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Find the function of which is the solution of 36y"-48y'-48y=0 with initial conditions y1(0)=1. y1'(0)=0
lilavasa [31]

Answer:

y=\frac{1}{4} e^{2x}+\frac{3}{4} e^{-\frac{2}{3}x }

Step-by-step explanation:

Let,  D=\frac{d}{dx}

Now, us simplify the given differential equation and write it in terms of D,

36y''-48y'-48y=0

or, 3y''-4y'-4y=0

or, (3D^2-4D-4)y=0

We have our auxiliary equation:

3D^2-4D-4=0

or, (3D+2)(D-2)=0

or, D=2, - \frac{2}{3}

Therefore our solution is,

y=Ae^{2x}+Be^{- \frac{2}{3}x}

and, y'=2Ae^{2x}-\frac{2}{3}Be^{\frac{2}{3}x }

Applying the boundary conditions, we get,

A+B=1

2A-\frac{2}{3}B=0

Solving them gives us,

A=\frac{1}{4} ,B=\frac{3}{4}

Hence,

y=\frac{1}{4} e^{2x}+\frac{3}{4} e^{-\frac{2}{3}x }

4 0
3 years ago
Using data from a study, we find a significant difference in the proportion of fruit flies surviving after 13 days between those
mestny [16]

The hypothesis shows that we have evidence that the proportion surviving after eating organic is higher.

<h3>How to illustrate the information?</h3>

The following can be deduced from the information:

x1 = 275

x2 = 170

n1 = 500

n2 = 500

The sample proportion will be:

p1 = 275/500 = 0.55

p2 = 170/500 = 0.34

The pooled proportion will be:

= (275 + 170)/(500 + 500)

= 0.44

The test statistic is 6.681. It should be noted that the test statistics is a number that's calculated by a statistical test. It shows how the observed data are far from the null hypothesis.

The p value in this scenario is extremely small. The p value is a measurement used to validate a hypothesis against the observed data. Therefore, we have to reject the null hypothesis.

In this case, the hypothesis shows that we have evidence that the proportion surviving after eating organic is higher.

Learn more about hypothesis on:

brainly.com/question/15980493

#SPJ1

8 0
1 year ago
What is the volume of this aquarium 24 in 8 in 12 in
mote1985 [20]
2304 cubic inches. You multiply the length, width, and base
4 0
3 years ago
Read 2 more answers
Help me pls this is hard
Luba_88 [7]

Answer:

I guess it is the Answer C

6 0
2 years ago
Read 2 more answers
Can someone help me pls on this question pls
jekas [21]
C is the answer of this problem
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