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artcher [175]
3 years ago
10

Determine whether the given limit leads to a determinate or indeterminate form. HINT [See Example 2.]

Mathematics
1 answer:
Musya8 [376]3 years ago
8 0

Answer:

The limit leads to a determinate form.

\lim_{x \to \infty} \frac{2}{-x+3} = 0

Step-by-step explanation:

The following are indeterminate forms.

\frac{0}{0} \ and \ \frac{\infty}{\infty}

Given the limit of a function \lim_{x \to \infty} \frac{2}{-x+3}, to show if the given limit is determinate or indeterminate form, we will need to substitute the value of -\infty into the function as shown,

\lim_{x \to \infty} \frac{2}{-x+3}\\= \frac{2}{-(-\infty)+3}\\= \frac{2}{\infty+3}\\=  \frac{2}{\infty}\\\\Generally, \ \frac{a}{\infty} =0

where a is any constant, therefore \frac{2}{\infty} = 0

Since we are able to get a finite value i.e 0, this shows that the limit does exist and leads to a determinate form

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During taylor's experiment, which piece of data would be qualitative?
Reptile [31]

There isn't any piece of data during Taylor's experiment which can be taken as  qualitative. Thus, correct choice is: Option D: None are qualitative.

<h3>What is qualitative data?</h3>

Qualitative data tells about the quality or characteristic. It is tough to express it numerically or not at all expressible numerically. They are usually catagorical.

In contrast, there is quantitative data which can be expressed numerically.

The problem is missing its option, which are:

  1. mass of the cars
  2. degree of the ramp incline
  3. time in seconds
  4. none are qualitative

Mass can be measured (in kgs, grams etc), degree of inclination can be measured (in radians, degree etc), time can be measured (in seconds, minutes etc).

Thus, there isn't any piece of data during Taylor's experiment which can be taken as  qualitative. Thus, correct choice is: Option D: None are qualitative.

Learn more about qualitative and quantitative data here:

brainly.com/question/12929865

5 0
2 years ago
How many solutions does 5a-3=5a-3
olya-2409 [2.1K]

Answer:

0

Step-by-step explanation:

5a-3=5a-3

or, 5a-5a=-3+3

or, 0=0 answer

4 0
2 years ago
F the radius of a flying disc is 7.6 centimeters, what is the approximate area of the disc?
hoa [83]

Answer:

3.14x7.6=23.864 because raidus is the disctance around  one circle

Step-by-step explanation:

8 0
3 years ago
A dry cleaner charges $18 to clean 4 pairs of pants.   How many pairs of pants can be cleaned for $27 at the same rate?
blondinia [14]

4 pairs of pants for $18.

Divide price by quantity to get the cost of 1 pair of pants:

18 / 4 = 4.50 per pair.


Divide 27 by 4.50 to find number of pairs:

27 / 4.5 = 6

6 pairs of pants can be cleaned for $27.

5 0
3 years ago
1.Anthony has decided to purchase a $19,000 car. He plans to put 20% down toward the purchase and to finance the rest at a 6.8%
Nikitich [7]
<h2>First step/Equation</h2>

Answer:

 $362.57

Step-by-step explanation:

A suitable calculator or finance app can find the monthly payment for you. This result comes from a TI-84 calculator.

___

The second attachment shows the parameters of the payment function. With 20% down, Anthony is only financing 80% of the price of his car. Of course, there are 12 months in a year, so 4 years worth of payments will be 48 payments. The calculator uses negative values for amounts you pay.

___

No doubt your reference material shows you a formula for computing loan payments. One such is ...

 A = Pr/(1 -(1+r)^-n)

where r is the monthly interest rate, 0.068/12, and n is the number of payments, 48. The principal amount of the loan, P, will be 19,000×0.80. This formula gives the same result as that shown above and below

3 0
2 years ago
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