What is the length of the line?

(a)The domain of the function is, [tex]\rm x \geq -c^2 \ x\neq0[/tex]

(b)The given function is discontinuous at x=0.

Domain is the set of values for which the given function is defined. Range is the set of all values which the given function can output.

The standard function is;

[tex]\rm f(x)= \frac{\sqrt{x+c^2-c} }{x} , c > 0[/tex]

The domain of the given function is found as;

[tex]\rm x+c^2 \geq 0 \ x\neq 0 \\\\ x\geq-c^2 \ x\neq 0[/tex]

The domain of the function is,

[tex]\rm x \geq -c^2 \ x\neq0[/tex]

To find the function is continuous or not, we have to find the continuity;

[tex]\rm f(x) = \frac{\sqrt{ x+c^2-c}}{x} ,c > 0[/tex]

At x= 0 the function is undefined. So that the function is discontinuous at x=0.

Hence, The domain of the function is, [tex]\rm x \geq -c^2 \ x\neq0[/tex] and the function is discontinuous at x=0.

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Answer:

B) 10

Step-by-step explanation:

The range of a data set is found by subtracting the smallest term given in the set from the largest term given in the set. First, set the terms in order from least to greatest:

5 , 7 , 10 , 11 , 12 , 13 , 15 , 15, 15 ,

Subtract the greatest (15) with the least (5): 15 - 5 = 10

B) 10 is your answer.

~

Answer:

The answer is b) 10

Step-by-step explanation:

i took the test

Answer:

LN = 14

Step-by-step explanation:

In parallelogram diagonals bisect each other. That means that one diagonal cuts the other in half.

LJ is the diagonal and LN is a half of the diagonal.

[tex]\text{LN} = \frac{28}{2} = 14[/tex]

Answer:

yo dude dont be upset im doing what you did lol!

Answer:

D. none of these

Step-by-step explanation:

There are a total of 11 chocolates in the box.

The probability of picking milk chocolate first is 4/11.

Now that you eat one, there are 10 chocolates in the box.

The probability of picking a dark chocolate second is 7/10.

This is a compound probability problem, so multiply the two probabilities together.

4/11 x 7/10 = 28/110

Reduce by 2/2

14/55 = .2545

D. none of these

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{4}}x+6 ~~ \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

therefore then

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-3}{4}} ~\hfill \stackrel{reciprocal}{\cfrac{4}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{4}{-3}\implies \cfrac{4}{3}}}[/tex]

so we're really looking for the equation of a line whose slope is 4/3 and passes through (3 , 9)

[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{9})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{4}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{\cfrac{4}{3}}(x-\stackrel{x_1}{3}) \\\\\\ y-9=\cfrac{4}{3}x-4\implies y=\cfrac{4}{3}x+5[/tex]

The proofing of Fermat's last theorem shows that y = a² - b², z = a² + b² and x = 2ab.

The equation x² + y² = z². We can assume that x, y, and z are positive and relatively prime. Suppose that x is even. Then:

(z - y/2)(z + y/2) = (x/2)²

Hence,

(z - y)/2 = b²

(z + y)/2 = a²

Then, y = a² - b², z = a² + b² and x = 2ab.

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Answer:

1/2

Step-by-step explanation:

9/10 - 4/10 =  (9-4) / 10 = 5/10 = 1/2

Answer:

9/10 - 4/10 = 5/10 (0.5) zero and a half.

Step-by-step explanation:

The denominators are the same so you only need to subract 4 from nine, you could even simplify it after by dividing the top of the fraction and the bottom by the same number. goodluck btw

Answer:

except c all

Step-by-step explanation:

because

5(2+4)=10+20

30=30

9(3+2)=27+18

45=45

2(5+6)=10+12

22=22

Answer:

except c all

Step-by-step explanation:

because

5(2+4)=10+20

30=30

9(3+2)=27+18

45=45

2(5+6)=10+12

22=22

Answer:

It is a cluster from $1.00 to $7.00 and

has no gaps.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

From what we know about percentages and unit rates, the correct options are:

1) 100

2) 1

What is a percent?

Suppose we have an amount A, this would be the 100%.

If we want to know how much a quantity B represents, compared to A, we have:

A = 100%

B = x

where x is a percentage, to find the value of x we compute:

x = (B/A)*100%

While there is a dependence on A, we actually are comparing the term with 100 (because A represents a 100%), so the correct option is A: 100

PLS MARK ME AS THE BRAINLIST!!!

Answer:

Using the binomial distribution, it is found that

P(X > 3) = 0.0256

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, with p probability.

[tex]P(X = x) = C_{n, x} * p^{x} (1 - p)^{n- x }[/tex]

[tex]C_{n, x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n, x} = \frac{n!}{p!(n - x)!}[/tex]

P(X > 3) = P(X = 4)                         since it above next whole number above 3

In which

[tex]P(X = x) = C_{n, x} * p^{x} (1 - p)^{n- x }[/tex]

[tex]P(X = 4) = C_{4, 4} * (0.4)^{4} (1 - 0.4)^{4 - 4}\\C_{4, 4} = \frac{4!}{4!(4 - 4)!}\\\\P(X = 4) = \frac{4!}{4!(0)!} * (0.4)^{4} (0.6)^{0}\\[/tex]

Then

P(X > 3) = P(X = 4)

P(X > 3) = 0.0256

--------------

Given, n = 4, p = 0.4

press 2nd - DISTR

scroll down to A: binompdf( - press enter

type in # of trials (n), P: (probability), and x value (successes)

press enter on Paste

press enter again

BINOMDIST(num_successes, num_trials, prob_success, cumulative)

=BINOMDIST(4, 4, 0.4, FALSE

A similar problem is given at brainly.com/question/15557838

I have also attached notes on The Binomial Distribution below

Let me know if you have any questions !

Hope this helps :)

Answer:

P(1 or 2) = 2/9

Step-by-step explanation:

OR means we add each probability

If it is 9-sided, I will assume the die will be numbered 1-9

Probability of getting a 1 in mathematical notation is:

P(1) = 1/9

Probability of getting 2:

P(2) = 1/9

We add their probabilities since we want to know if we get either 1 or 2

P(1) + P(2) = 1/9 + 1/9 = 2/9

If the question asked what the probability was of getting a 1 and a 2 by rolling the die twice, we would multiply the probabilities together

1/9 x 1/9 = 1/81

Answer:

oh

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

because for combinatioj order are no imoortant

Answer:

Just multiply 5000 * 0.08, which equals 400.

400 + 5000 = 5400

The borrower will repay $5400 at the end of nine months.

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin^2 − sin^4 = cos^2 − cos^4

sin^2 (1-sin^2) = cos^2 − cos^4

sin^2 (cos^2) = cos^2 − cos^4

(1-cos^2) (cos^2) = cos^2 − cos^4

cos^2 − cos^4 = cos^2 − cos^4

Which is True :33 Send love

Answer:

x = 2√5

Step-by-step explanation:

Isosceles right angle triangles have two congruent sides ( for more reference , kindly check the attached image ) making it a special 45-45-90 degree triangle.

Special triangles have simple easy rules to help identify the lengths of the other sides lengths. For the 45-45-90 degree triangle, the hypotenuse (longest side) is equal to the value of the triangles leg(shorter sides) times √2 ( for more reference kindly check the other attached image )

Here, the value of the leg it equal to √10

If the value of the hypotenuse (x) = leg × √2

Then the value of x = √10 × √2

x = √10 × √2 = √(10 × 2) = √20

==> simplify radical

x = 2√5

Answer:

162,735

Step-by-step explanation:

570(570 + 1)/2 = 162,735

Elena should go to the south market because there is 0.52 probability of both cherries and asparagus being available.

The table is given as:

                   North market     South market

Cherries          0.96                   0.8

Asparagus       0.5                   0.65

The probability of buying both produce at both markets is calculated as:

P(North) = 0.96 * 0.5 = 0.48

P(South) = 0.8 * 0.65 = 0.52

0.52 is greater than 0.48

Hence, Elena should go to the south market because there is 0.52 probability of both cherries and asparagus being available.

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Using the Central Limit Theorem, it is found that the statement that is likely to be true about the second study is given by:

D. The margin of error for the second study will likely be less than 10 pounds per square inch.

It states that the sampling distribution of sample means of size n has standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

That is, higher sample sizes leads to lower amounts of error, and since the second study has a higher sample size, it should have lower error, hence option D is correct.

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Answer:

f^-1(x)=[tex]\sqrt[3]{x-3}[/tex]

Answer:

1:If three pairs of sides of two triangles are equal in length, then the triangles are congruent. ASA (angle-side-angle): If two pairs of angles of two triangles are equal in measurement, and the included sides are equal in length, then the triangles are congruent. 2:All sides are equal in length. Diagonals bisect each other at a 90-degree angle. The sum of any two adjacent interior angles is 180 degrees. Opposite sides are equal and parallel to each other.3:Each pair of opposite sides is parallel, and adjacent sides are perpendicular. This means that every angle in a rectangle is a right (90∘) angle.

Step-by-step explanation:

Answer:

[tex]x \leqslant 4[/tex]

Goodluck

Step-by-step explanation:

X is smaller than or equal to 4

Answer:

  none

Step-by-step explanation:

The only number in the range 1 to 100 that is divisible by 77 is 77. It is not divisible by 10.

No numbers in the range 1 to 100 are divisible by both 10 and 77.

Answer:

  A.  200 packages

Step-by-step explanation:

The number of packages per roll can be found by dividing the length of a roll by the length of tape needed for each package.

__

For each package:

  (2.375 in/piece)×(4 piece/package) = 9.5 in/package

Per roll:

  (1900 in/roll) / (9.5 in/package) = (1900/9.5) packages/roll

  = 200 packages/roll

The machine can seal 200 packages with a roll of tape 1900 inches long.

The area of the triangle with the given base and height where a = 4 and c = 2 is: 608 cm²

Area = 1/2(base)(height).

Given the parameters:

If a = 4 and c = 2, then:

Area = 1/2(base)(height) = 1/2(2ac²)(2ac² + 6)

Area = 1/2(2 × 4 × 2²)(2 × 4 × 2² + 6)

Area = 1/2(32)(38)

Area = 608 cm²

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Answer:

  (b)  The area of the square pizza is larger

Step-by-step explanation:

The areas can be computed using the appropriate formulas, then compared.

__

  A = πr² . . . . . r = half the diameter

  A = π(5 in)² = 25π in² ≈ 78.5 in²

  A = s² . . . . . s is the side length

  A = (9 in)² = 81 in²

The area of the square pizza (81 in²) is larger than that of the circular pizza (78.5 in²).