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3 years ago

6

!!!!GIVING FIFTY POINTS T WHOEVER HELPS ME PLEASE!!!!

1 answer:

nadezda [96]3 years ago

4 0

Answer:

14)9

15)6

16)57

17)29

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What is tan11pi/6 ? Fraction

tamaranim1 [39]

11pi/6 is in 4th quadrant.

The reference angle is pi/6 because 11pi/6 is pi/6 radians away from 'x' axis.

In 4th quadrant, sin is negative and cos is positive, therefore tan is negative.

This means:
$tan(\frac{11\pi}{6}) = -tan(\frac{\pi}{6}) = -\frac{sin(\pi/6)}{cos(\pi/6)} = -\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}} = -\frac{1}{\sqrt{3}} = -\frac{\sqrt{3}}{3}$

6 0

3 years ago

In two or more complete sentences, explain whether the sequence is finite or infinite. Describe the pattern in the sequence if i

Ray Of Light [21]

Answer:

Infinite sequence with terms $t_{n+1}=t_n\cdot ab$ or $t_{n+1}=2a\cdot (ab)^n=2a^{n+1}b^n.$

$t_7=2a^7b^6.$

Step-by-step explanation:

Consider the pattern

$2a,\ 2a^2b,\ 2a^3b^2,\ 2a^4b^3,\ ...$

First term of this pattern is

$t_1=2a,$

second -

$t_2=t_1\cdot ab,$

third -

$t_3=t_2\cdot ab,$

fourth -

$t_4=t_3\cdot ab,$

fifth -

$t_5=t_4\cdot ab=2a^4b^3\cdot ab=2a^5b^4,$

sixth -

$t_6=t_5\cdot ab=2a^5b^4\cdot ab=2a^6b^5,$

seventh -

$t_7=t_6\cdot ab=2a^6b^5\cdot ab=2a^7b^6.$

This equence is infinite and each next term is obtained from the previous multiplying by ab.

7 0

3 years ago

Solve the equation (-20)-2+9+18

Ivahew [28]

Answer:

5

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Anyone know this one ?

bezimeni [28]

Answer:

y+2 = -1 ( x+4)

Step-by-step explanation:

The y intercept is 2

The slope is found by using two point

( 0,2) and ( 2,0)

m = (y2-y1)/(x2-1)

= ( 0-2)/(2-0)

= -2/2

= -1

The slope is -1 and the y intercept is 2

Using point slope form

y -y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line

y-y1 = -1(x-x1)

It appears that we are using y1 = -2 so x = 4

y - -2 = -1( x -4)

y+2 = -1 ( x+4)

5 0

3 years ago

An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standar

zysi [14]

Answer:

A sample of at least 68 bulbs is needed to be 96% conﬁdent that our sample mean will be within 10 hours of the true mean.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.96}{2} = 0.02$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.02 = 0.98$ , so $z = 2.055$

Now, find the margin M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this problem, we have that:

$\sigma = 40, M = 10$

$M = z*\frac{\sigma}{\sqrt{n}}$

$10 = 2.055*\frac{40}{\sqrt{n}}$

$10\sqrt{n} = 82.2$

$\sqrt{n} = 8.22$

$n = 67.6$

A sample of at least 68 bulbs is needed to be 96% conﬁdent that our sample mean will be within 10 hours of the true mean.

6 0

3 years ago