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Sonbull [250]
3 years ago
6

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

Mathematics
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
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