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TiliK225 [7]
1 year ago
12

I need help please!!!

Mathematics
1 answer:
myrzilka [38]1 year ago
5 0

the slope of the given point is m=−3/4

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What is the sum of the first 12 terms of the geometric series below 1/2+2+8+32+
Georgia [21]

∴\frac{1}{2} +2+8+32.......12^{th}term =2796202.5

Step-by-step explanation:

First term(a) = \frac{1}{2}   common ratio(r)     =\frac{2}{\frac{1}{2} }   =4

n= 12

S_{n}=\frac{a(r^n-1)}{(r-1)}

S_{12}=\frac{\frac{1}{2}(4^{12}-1) }{4-1} =2796202.5

∴\frac{1}{2} +2+8+32.......12^{th}term =2796202.5

5 0
3 years ago
The angle of elevation to the sun is 24°. What is the length of the shadow cast by a person 1.82 m tall? A. 0.81 m B. 1.99 m C.
Zanzabum

Answer:

C. 4.09 m

Step-by-step explanation:

Let the length of the shadow cast by a person be x m.

\tan \: 24 \degree =  \frac{height \: of \: person}{length \: of \: the \: shadow}  \\  \\ 0.4452286853 =  \frac{1.82}{x}  \\  \\ x =  \frac{1.82}{0.4452286853}  \\  \\ x = 4.08778693 \: m \\ x = 4.09 \: m

7 0
3 years ago
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.
mote1985 [20]

The confidence interval for the mean usage of water is (18.7,20.5).

Given population standard deviation of 2.4, mean of 19.5 gallons per day and confidence interval of 98%.

We have to find the confidence interval for the mean usage of water.

To find out the confidence interval we have to first find margin of error.

μ=19.5

σ=2.4

α=0.98

α/2=0.49

We have to find the z value for the p value 0.49 which is z=2.33

Margin of error=z*μ/\sqrt{n}

=2.33*19.5/\sqrt{3034}

=0.82

lower level=mean -m

=19.5-0.82

=18.68

after rounding upto 1 decimal

=18.7

upper mean = mean+m

=19.5+0.82

=20.52

Hence the confidence interval for the usage of water is (18.7,20.52).

Learn more about margin of error at brainly.com/question/10218601

#SPJ4

7 0
2 years ago
Find the missing length
maw [93]
The answer would be 12
6 0
3 years ago
Read 2 more answers
Which expression is equivalent to the following expression? 4(x + 3) + 6(x - 3)
yuradex [85]

Answer:

The equivalent expression is 10x-6.

4 0
3 years ago
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