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3 years ago

Brainliest and Five Stars for correct answer

Mathematics

2 answers:

Colt1911 [192]3 years ago

7 0

The limits at the vicinity of 3 is as follows:

Lim x->3- means approaching 3 from the left (but not AT 3), so the value is -1 at the end of the slanting line.
Limit x->3 means f(3), or the function evaluated at 3, which is +7 (the dark dot)
Limit x->3+ means approaching 3 from the right, so the value is -3, at the left end of the horizontal line.

The answer required is lim x->3+ f(x).

Note that when the limits of 3-, 3, and 3+ differ, the function is NOT continuous at the point x=3, as is obvious from the graph.

Arlecino [84]3 years ago

6 0

Im going to guess -3. my math kinda got messed up half way through... anybody else... please correct me and explain if ur answer is actually corecct if im wrong

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Vikentia [17]

Answer:

Step-by-step explanation:

ABD (half of the rectangle) is a right-angled triangle.

so, Pythagoras applies.

c² = a² + b²

c is the Hypotenuse (the baseline opposite of the 90 degree angle) and in our case the line BD.

a and b are the 2 sides enclosing the 90 degree angle. in our case here the lines AD and AB.

so,

BD² = AD² + AB² = (6-1)² + (5-2)² = 5² + 3² = 25 + 9 = 34

BD = sqrt(34)

7 0

3 years ago

The heights of the trees in a forest are normally distributed, with a mean of 25 meters and a standard deviation of 6 meters. Wh

Alla [95]

Answer:

2.3%

Step-by-step explanation:

The formula to convert x into z distribution is

$z=\frac{x-\mu}{\sigma}$

Where z is the test statistic

x is what we are looking for (in this case 37)

$\mu$ is the mean (in this case, it is 25)

$\sigma$ is the standard deviation (we have 6)

Plugging these into the formula, we get:

$z=\frac{x-\mu}{\sigma}\\z=\frac{37-25}{6}\\z=2$

Thus we can say we want $P(z\geq 2)$

Note: $P(z\geq a)=1-P(z\leq a)$

The table given is for any z where $P(z\leq a)$

Thus, now we have:

$P(z\geq 2)\\=1-P(z\leq 2)\\=1-0.9772\\=0.0228\\$

0.0228 into percentage is 0.0228 * 100 = 2.28%

Rounded, we get 2.3%

Third answer choice is right.

3 0

3 years ago

Enter the values for m, n, and p that complete the difference:

inessss [21]

Answer:

p = 2

n = 14

m = 3

Step-by-step explanation:

In order to be able combine (either add or subtract) rational expressions we need to write them with a common (similar) denominator. For that reason we first find the Least Common Denominator of both fractions, that way understanding how to express the two fractions using equivalent fractions with like denominator that can be combined.

We see that the denominator of the first fraction contains the factor "x", therefore "x" has to be a factor of that least common denominator.

We also see that the second fraction contains "2" as a factor, therefore 2 has to be a factor as well for our Least Common Denominator (LCD)

So the LCD we need is the product: 2*x which we write as 2x.

Now we write the first fraction as an equivalent one but with denominator "2x" by multiplying top and bottom by 2 (and thus not changing the actual value of the fraction): $\frac{7}{x} =\frac{7*2}{x*2} =\frac{14}{2x}$