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2 years ago

Who can prove that ? :D prove that lim x about 0 (sin(x)/x)=1 by using sandwich theorem

Mathematics

1 answer:

earnstyle [38]2 years ago

8 0

$cos (x) \leq \frac{sin (x)}{x} \leq 1$

Apply limit as x->0

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Solve <br> 5x+4+8x-3=79 ???

sammy [17]

Answer:

x=6

Step-by-step explanation:

5x+4+8x-3=79

=>13x=79-4+3

=>13x=78

=>x=78/13

=>x=6

6 0

2 years ago

Plz someone explain it

Savatey [412]

Answer:

-4(8)=x^2-9x+12

-32=x^2-9x+12

Step-by-step explanation: is this what u want us to do?

8 0

2 years ago

One solution to a quadratic function, h, is given.

Margaret [11]

Answer:

B. The other solution to function $h$ is $-4-i\,7$ .

Step-by-step explanation:

From Algebra, we remember that quadratic functions of the form $a\cdot x^{2}+b\cdot x + c$ has solutions of the form:

$x = \frac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}$ , where both are complex if and only if $\sqrt{b^{2}-4\cdot a \cdot c}< 0$ .

Hence, if one solution of the quadratic function is $-4+i\,7$ , then the other solution is $-4-i\,7$ . The correct answer is B.

7 0

2 years ago

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.8 parts

Alexxandr [17]

Answer:

The value of the test statistic is $t = 2.67$

Step-by-step explanation:

The null hypothesis is:

$H_{0} = 7.8$

The alternate hypotesis is:

$H_{1} \neq 7.8$

Our test statistic is:

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

In this problem, we have that:

$X = 8.2, \mu = 7.8, \sigma = 0.6, n = 16$

Then

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$t = \frac{8.2 - 7.8}{\frac{0.6}{\sqrt{16}}}$

$t = 2.67$

The value of the test statistic is $t = 2.67$

5 0

3 years ago

What’s the distributive property of 17 x 8

Kamila [148]

Answer:

Step-by-step explanation:

Remember simple multiplication? Write the problem with 17 at the bottom:

* 1 7

----------

5 6 <-- this is 8*7

8 0 <-- this is 8*10 [we sometimes just shift and don't write the 0]

-------

1 3 6

So, 8*17 is the same as 8*10 + 8*7.

3 0

2 years ago

Read 2 more answers