lim┬(x→1)⁡〖(1-√x)/(x^2-1)〗

Answers

Answer 1

Answer:

- 1/4

Step-by-step explanation:

[tex]\frac{1-\sqrt{x} }{x^{2}-1 } = \frac{(1-\sqrt{x})*(1+\sqrt{x} ) }{(x+1)(x-1)(1+\sqrt{x} )} \\= \frac{1-x}{-(1-x)(x+1)(1+\sqrt{x} )} \\= - \frac{1}{(x+1)(1+\sqrt{x} )} \\ \lim_{->1} - \frac{1}{(x+1)(1+\sqrt{x} )} \\ = -\frac{1}{(1+1)(1+\sqrt{1}) } = - 1/4[/tex]

Answer 2
Wow very good answer

Related Questions

-3/5 is greater than or less than -4/5

Answers

-3/5  is greater than -4/5

Step-by-step explanation:

If they were just regular positive numbers then yes, it would be less than -4/5. However since they are negative for this I will switch them to decimals, . -.60 is more an -.80 because it is basically like a dept you owe.

Find the surface area and the volume of the prism .​

Answers

Answer:

Surface area is 1140cm^2

Volume is 1800 cm^3

Step-by-step explanation:

12x5=60x2=120

5x6=30x2=60

20x6=120x8= 960

120

  60

+960

1140

12x20=240x10=2400

5x6=30x20=600

2400-600=1800

b) Raj bought $3.63 worth of raisins.
What was the mass in grams? Give two
possible answers.

Answers

Answer:

how much is 1 gram of raisins worth in money

Step-by-step explanation:

Answer:

How much of 1 gram of raisin was worth in money

What is the range of the given function ?

Answers

Answer:

6740

Step-by-step explanation:

Answer:

There is no function provided

FYI

Domian is all x-values

range is all y-values

For ex..

(-3,6)

-3 is domain

6 is range

Step-by-step explanation:

Distance from earth to the moon is 238,900 . From earth to the sun is 92935,700 ,about how many times the distance from earth to the moon is distance from earth to the sun

Answers

Answer: the sun is 389.015069067 times further away from earth to the moon

Step-by-step explanation: 92935700/238990=389.015069067

The mean of the numbers 15, 21, 17.26. 18,29
is 21. Calculate the standard deviation of the
numbers

Answers

Answer:

6

Step-by-step explanation:

=15+21+17+26+18+29/

/ 21

=126/21

=6

253 19/26 rounded to the nearest ten

Answers

Answer:

250

Step-by-step explanation:

As a decimal 253 and 19/23 can be written as 253.73

If we think about 253.73 being closer to 250 or 260, we can see that it is closer to 250, so that is the nearest ten we will round to.

Even if it is too difficult to convert to a decimal, if we round 19/23 to 23/23, our number becomes 254. The nearest ten is still 250.

Find the missing values in the ratio tables.

Answers

Answer:

tatlong Lugar na posibleng paglaruan ng luksong tinik

8/3 * (-2 1/2) the product is

Answers

Answer:

-28

Step-by-step explanation:

You have to do the parenthesis 1st, then the [tex]\frac{8}{3}[/tex], and multiply the result :D

find perimeter and area

Answers

Answer:which one

Step-by-step explanation: which one 50

Use the y- and x- intercepts to write the equation of the line. y-intercept (0, -6), x-intercept (-2, 0)

Answers

Hi there! :)

We are given 2 points. It means we can use the following formula to find the slope:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{0-(-6)}{-2-0\\} \\\frac{0+6}{-2}\\\frac{6}{-2} \\-3[/tex]

So the slope is -3

First, let's write the equation of the line in point-slope form.

y-y1=m(x-x1)

y-(-6)=-3(x-0)

y+6=-3(x+0)

y+6=-3x+0

y=-3x+0-6

y=-3x-6

Hope this helps!

~Just an emotional teen who listens to her favorite song "Try Everything"

[tex]SilentNature[/tex]

A.
All of the expressions are in simplest form.
B.
All of the expressions result in a terminating decimal.
C.
All of the expressions result in a rational number.
D.
All of the expressions result in an irrational number.

Answers

Answer:

b

Step-by-step explanation:

pls mark me as brainliest pls

A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean = 87 and standard deviation = 25. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.)
(a) x is more than 60



(b) x is less than 110


(c) x is between 60 and 110


(d) x is greater than 125 (borderline diabetes starts at 125)

Answers

Using the normal distribution, it is found that:

a) 0.8599 = 85.99% probability that x is more than 60.

b) 0.1788 = 17.88% probability that x is less than 110.

c) 0.6811 = 68.11% probability that x is between 60 and 110.

d) 0.0643 = 6.43% probability that x is greater than 125.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of 87, thus [tex]\mu = 87[/tex].The standard deviation is of 25, thus [tex]\sigma = 25[/tex].

Item a:

This probability is 1 subtracted by the p-value of Z when X = 60, thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{60 - 87}{25}[/tex]

[tex]Z = -1.08[/tex]

[tex]Z = -1.08[/tex] has a p-value of 0.1401.

1 - 0.1401 = 0.8599

0.8599 = 85.99% probability that x is more than 60.

Item b:

This probability is the p-value of Z when X = 110, thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{110 - 87}{25}[/tex]

[tex]Z = 0.92[/tex]

[tex]Z = 0.92[/tex] has a p-value of 0.8212.

1 - 0.8212 = 0.1788.

0.1788 = 17.88% probability that x is less than 110.

Item c:

This probability is the p-value of Z when X = 110 subtracted by the p-value of Z when X = 60.

From the previous two items, 0.8212 - 0.1401 = 0.6811.

0.6811 = 68.11% probability that x is between 60 and 110.

Item d:

This probability is 1 subtracted by the p-value of Z when X = 125, thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{125 - 87}{25}[/tex]

[tex]Z = 1.52[/tex]

[tex]Z = 1.52[/tex] has a p-value of 0.9357.

1 - 0.9357 = 0.0643.

0.0643 = 6.43% probability that x is greater than 125.

A similar problem is given at https://brainly.com/question/24863330

Question
Jackson's backpack weighed 15 kg. Convert the weight to pounds. Round to the nearest pound.

Answers

Answer:

[tex]15 \times 2.205 = 33.0693 \: lb[/tex]

Unit conversion is a way of converting some common units into another without changing their real value. The Weight of Jackson's backpack is 33.075 pounds.

What is unit conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

Since 1 kg is equal to 2.205 pounds. Therefore, the Weight of Jackson's backpack is,

15 kg = 2.205 × 15 kg = 33.075 pounds

Hence, the Weight of Jackson's backpack is 33.075 pounds.

Learn more about Units conversion:

https://brainly.com/question/4736731

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The hypotenuse of a right triangle is 15 cm. One of the triangles legs is two times the length of the other leg

Answers

Step-by-step explanation:

to solve you will use the formula c2=a2+b2 where c2 is always the hypotenuse and a2 and b2 are the rest of the sides. So c2 will be (15)2 and a2 will be (2x)2 while b2 will be represented by x2.Calculate (15)2=(2x)2+x2 You will get 225=4x2+x24x2+x2 will give you 5x2Then you will divide 225 by 5x2 and find the square root of it.45 is an irritational number since it has no perfect square so you will use the long division method.Your answer will be 6.708

A grocery store offers its customers A discount card that gives 15% off all purchases, p. The card costs $12 a year. What amount would a customer need to purchase each year to save money?

Answers

Step-by-step explanation:

customer need to purchase each year to save money = 100/15 × $12

= 1200/15

= $80

Answer:

More than $80

Step-by-step explanation:

To save money, the customer needs to save the cost of the card first.

Solve it by ratios:

15% = 12100% = x

Solve for x:

15x = 12*100x = 1200/15x = 80

Chords and Arcs - Guided Practice
Dents
#2 - The radius of ON is 18, NK = 9, and mpe - 120. Find each measure.
N
X
E
D
Н
Type in your answer for each measure in each box. (DO NOT include any symbols or letters.)
A: MCE =
B. mZHEN = 30
C. mZHNE =
units
D: HN = 9
9
N
ch

Answers

Answer:

Step-by-step explanation:

A) 120 / 2 = 60°

B) 180 - 90  60 = 30°

C) 60° same as arc length GE in part A above

D) 9 units = Rsinθ = 18sin30

Determine whether the function is continuous or discontinuous.

Answers

Answer:

it is continues

Step-by-step explanation:

it is continues

In biology, cell theory is a scientific theory first formulated in the mid-nineteenth century. It has three tenets:
1. Living organisms are made up of cells.
2. Cells are the basic structural/organizational unit of all organisms.
3. All cells come from pre-existing cells.
What technology had the greatest impact on cell theory?

Answers

Step-by-step explanation:

The invention of the microscope allowed human to observe plant and animal cells, and as the technology advanced, scientists have been able to gain more knowledge about these different types of cells. This shows that advancements in technology has paralleled the understanding and knowledge we have about these cells.

The invention of the microscope allowed human to observe plant and animal cells, and as the technology advanced, scientists have been able to gain more knowledge about these different types of cells

What is cell theory?

In biology, cell theory is a scientific theory first formulated in the mid-nineteenth century, that living organisms are made up of cells, that they are the basic structural/organizational unit of all organisms, and that all cells come from pre-existing cells.

Cells are the basic unit of structure in all organisms and also the basic unit of reproduction.

The invention of the microscope allowed human to observe plant and animal cells, and as the technology advanced, scientists have been able to gain more knowledge about these different types of cells.

This shows that advancements in technology has paralleled the understanding and knowledge we have about these cells.

To know more about cell theory follow

https://brainly.com/question/1594446

Mr. Hernandez divided 30 large cookies onto 4 plates. How many cookies are on each plate?

Answers

Answer:

seven and a half

Step-by-step explanation:

The highest recorded temperature in Yuma, Arizona, was about 51 degrees C and the lowest recorded temperature was about 11 degrees C
Whats the difference between the highest and lowest temperatures?

Answers

Step-by-step explanation:

Definition of temperature:

The tendency of a substance or an object to transfer heat to its surroundings.

Definition of the thermodynamic temperature:

The Kelvin, unit of thermodynamic temperature, is the fraction 1/273.16 of the thermodynamic temperature of the triple point of water

8.4y - 6.8 = - 3.2y + 16.4​

Answers

Answer:

y = 2

Step-by-step explanation:

Identify the property being shown here, assuming that a + 2 = y.
(a + 2)/3 = y/3

Answers

Assuming that a + 2 = y, the property that was applied to arrived at (a + 2)/3 = y/3 is the: division property of equality.

Recall:

What is done to both sides of an equation will determine what property of equality was applied to the equation.

Thus, given the equation:

a + 2 = y

The following was obtained:

(a + 2)/3 = y/3

Observing the equation stated above, we will see that both sides of the equation was divided by three. This makes both sides equal.

Therefore, assuming that a + 2 = y, the property that was applied to arrived at (a + 2)/3 = y/3 is the: division property of equality.

Learn more here:

https://brainly.com/question/13260378

I have more question just don't get it wronge

Answers

Answer:

Relfection over the x axis

Step-by-step explanation:

It is the name shape but flipped onto the other side, therefore it is a reflection

Antonia is using the calculator shown to find the value of 1,035 × 6. What key on the calculator should she press after clearing the calculator?

1
+/–
C
/

Answers

C reasoning because c normally stands for clear and you should always double clear your calculator just to make sure it worked the first time

Please help what is 399/20 simplified

Answers

Answer:

19 19/20 in fraction

19.95 as a decimal

Step-by-step explanation:

Answer:

19 and 19/20

Step-by-step explanation:

The bar in a fraction stands for dividing

so you divide 399 by 20 which is 19 and 19 remainder

you turn the remainder into a fraction and the number into a whole number

What number is 28% of 45?

Answers

Answer:

12.6

Step-by-step explanation:

Hope it helps Brooo

Answer: 12.6

Step-by-step explanation:

28% × 45 = 12.6 => Divide 12.6 by 45And see if we get as a result: 28%

I hope this helps<33

A well-defined collection of elements is a(n)

Answers

Answer:

A well-defined collection of elements is a set.

(3 x 62) - 25 + n = 166

Answers

Answer:

n = 5

Step-by-step explanation:

186 - 25 + n = 166

n + 186 - 25 = 166

n + 161 = 166

(n + 161) + (-161) = 166 + (-161)

n + 161 - 161 = 166 - 161

n = 5

HELP WILL GIVE BRANLIEST

Answers

I think this is the answer
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