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kvv77 [185]
4 years ago
9

Find the limit as x approaches infinity (sqrt(t)+t^2)/(2t-t^2).

Mathematics
1 answer:
Julli [10]4 years ago
7 0
We are asked to evaluate <span>(sqrt(t)+t^2)/(2t-t^2) as t approches infinity. In this case, when infinity is substituted, the answer is infinity/infinity which is an indeterminate number. Using L'hopital's rule, we differentiate separately the tems in the numerator and denominator. This is equal to [0.5t^-0.5 + 2t] / [2 - 2t]. In this case, 1/infinity is equal to zero but still the quotient is equal to infinity over infinity. We derive again. [0.25t^-1.5 + 2] / [-2]. Substituting, the final answer is -1.</span>
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Express as a trinomial: (2x-3)(x 5)
Illusion [34]
I am assuming the expression is (2x-3)(x+5) or (2x-3)(x-5). I will teach you how to solve for both as I am not sure which one you are asking for. There are 4 steps to multiplying.

1) Multiply the x times the second x
2) Multiply x times the second number
3) Multiply the number by the second x
4) Multiply the number by the second number.

(2x*x)+(2x*5)+(-3*x)+(-3*5)=(2x^{2})+(10x)+(-3x)+(-15)=2x^{2}+7x-15

(2x*x)+(2x*-5)+(-3*x)+(-3*-5)=(2x^{2})+(-10x)+(-3x)+(15)=2x^{2}-13x+15

Your answer is 2x^{2}+7x-15 or 2x^{2}-13x+15. Does that answer your question?
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3 years ago
A sociologist develops a test to measure attitudes towards public transportation, and 27 randomly selected subjects are given th
taurus [48]

Answer:

The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 27 - 1 = 26

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0518

The margin of error is:

M = T\frac{s}{\sqrt{n}}

In which s is the standard deviation of the sample and n is the size of the sample.

In this question:

n = 27, s = 21.4. So

M = 2.0518\frac{21.4}{\sqrt{27}}

M = 8.45

The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

5 0
3 years ago
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MakcuM [25]
Part A)
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Part B:
The y-intercept will be flipped horizontally about the x-axis and multiplied by 2. This will mean that if the y-intercept was positive, it will now be negative and vice versa. The increasing and decreasing regions of the graph will be flipped, so anywhere f(x) was positive will now be negative and vice versa. They will also be double what they were before because all values are multiplied by 2. The end behaviour will switch. If f(x) was from Quad1->Quad3 for example, it will now be Quad2->Quad4 because of the flip at the x-axis. The evenness and oddness of the function will not change seeing as the degree of f(x) is not affected.
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3 years ago
Use substitution to solve the system of equations.
dusya [7]

Answer:

A

Step-by-step explanation:

1/2(2/3y) - 1/3y = 5

1/3y - 1/3y = 5

0 ≠ 5

No Solutions

These are linear equations and, when graphed, are parallel

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3 years ago
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alexandr402 [8]

Answer:

Looking at the example Alana will walk. 15.23 miles in two days

step-by-step explanation:

Looking at the example and using place value system

8.63 + 6.60= 15.23 miles

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4 years ago
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