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mihalych1998 [28]
3 years ago
14

How do I solve (z+7)^2=3

Mathematics
1 answer:
Olenka [21]3 years ago
4 0
(z+7)^2=3
z^2+14z+46=0
z={-14+-√(14^2-4.1.46)}/2.1
=-14+-√(196-184)/2
=-14+-√12/2
=-14+-2√3/2
=-7+-√3
so it is,
z=-7+√3
or,
z=-7-√3
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Step-by-step explanation:

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4 0
3 years ago
After a power failure, the temperature in a freezer increased at an average rate of 2.5 °F per hour. The total increase was 7.5
makvit [3.9K]
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3 years ago
given that a1=5 and a2=15 are the first two terms of a geometric sequence, determine the values of a3 and a10. Show the calculat
Alekssandra [29.7K]

a_3 is 45 and a_10 is 98415

Step-by-step explanation:

Given

a_1 = 5

a_2 = 15

First of all we have to calculate the common ratio of the sequence. The common ratio is the ratio between two consecutive terms of a geometric sequence.

So,

r=\frac{a_2}{a_1} = \frac{15}{5} = 3

The explicit formula for geometric sequence is:

a_n = a_1.r^{n-1}

Putting the value of r and a_1

a_n = 5.(3)^{n-1}

Putting n=3 in the explicit formula

a_3 =5.3^{3-1}\\= 5 * 3^2\\=5 * 9\\= 45

Putting n=10 for tenth term

a_{10} =5.3^{10-1}\\=5*3^9\\=5 * 19683\\=98415

Hence,

a_3 is 45 and a_10 is 98415

Keywords: Geometric sequence, Explicit formula

Learn more about geometric sequence at:

  • brainly.com/question/10978510
  • brainly.com/question/11007026

#LearnwithBrainly

7 0
3 years ago
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5 0
2 years ago
A household aquarium tank in the shape of a rectangular prism has a base length of 242424 inches (\text{in})(in)(, start text, i
mars1129 [50]

Answer:

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The absolute change in height is:

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\triangle H = |12in - 2.5in|

\triangle H = |9.5in|

\triangle H = 9.5in

8 0
2 years ago
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