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I am Lyosha [343]
2 years ago
9

Find the value of the expression.

Mathematics
1 answer:
Aleks04 [339]2 years ago
5 0
The answer would be 6.
You might be interested in
Find The Value Of x ?
slega [8]

<u>Answer</u>:

1) x  = -1  ||     2) x = 10

<u>Explanation</u>:

1)

→ \log _3\left(\frac{1}{3}\right)=x

→ \frac{1}{3}  = 3^x

→ 3^{-1} = 3^x

→ x  = -1

2)

→ \log _3\left(x-1\right)=2

→ x - 1 = 3^2

→ x -1 = 9

→ x = 9 +1

→ x = 10

5 0
2 years ago
Read 2 more answers
Researchers at the Centers for Disease Control and Prevention have been studying the decay pattern of a new virus with a decay r
koban [17]

The Researcher will find 69 viruses, because 231 viruses are decayed in 7 hours, if a virus with a decay rate of 19% per hour and they start with 300 viruses.

Step-by-step explanation:

The given is,

                     A new virus with a decay rate of 19% per hour  

                    They start with 300 viruses

Step:1

                  Formula to calculate the viruses at decay rate,

                                                  y = A(1-r)^{t}............................(1)

                 Where, y - No of viruses after given time

                             A - Viruses at initial stage

                              r - Decay rate

                              t - No. of hours

                 From the given,

                              A = 300

                               r = 19% per hour

                               t = 7 hours

                Equation (1) becomes,

                                            y = 300(1-0.19)^{7}

                                               = 300(0.81)^{7}

                                               = 300(0.228767)

                                               = 68.63

               Viruses of 7 hours ≅ 69 viruses

                                                     ( or )

Step:1

        For 1st hour,

          = (No.of viruses in hour) - (No,of viruses in last hour × Decay rate )

              = (300)-(300 × 0.19)

              = 300 - 57

              = 243

       For 2nd hour,

              = (243)-(243 × 0.19)

              = 243 - 46.17

              = 196.83

      For 3rd hour,

              = (196.83)-(196.83 × 0.19)

              = 196.83 - 37.39

              = 159.4323

       For 4th hour,

              = (159.4323)-(159.4323 × 0.19)

              = 159.4323 - 30.2921

              = 129.1402

      For 5th hour,

              = (129.1402)-(129.1402 × 0.19)

              = 129.1402 - 24.5366

              = 104.6035

     For 6th hour,

              = ( 104.6035)-( 104.6035 × 0.19)

              =  104.6035 - 19.8747

              = 84.7288

     For 7th hour,

              = (84.7288)-(84.7288 × 0.19)

              =  84.7288 - 16.0984

              = 68.63 viruses

Result:

          The Researcher will find 69 viruses, because 231 viruses are decayed in 7 hours, if a virus with a decay rate of 19% per hour and they start with 300 viruses.

7 0
3 years ago
What is the absolute value of -90?
Alexandra [31]

Answer: 90

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A cabin in the shape of a regular pentagonal pyramid has a slant height of 16 feet and a base edge length of 12 feet. Paint for
s2008m [1.1K]

Answer:

Step-by-step explanation:

You were so mean I needed help and you become insensetive and just typed "cool"for the points I will show you back one day

5 0
3 years ago
What is the arithmetic rule to the sequence: <br>1/3,4/3,7/3<br><br>find: f(10)
makkiz [27]

The the value of f(n)=\frac{28}{3}

Step-by-step explanation:

The Arithemetic sequence is given as a,a+d,a+2d......a(n-1)d

and f(n)=a(n-1)d

The given sequence is 1/3,4/3,7/3...

By comapring with Arithemetic sequence,

we get a=1/3

a+d=4/3

1/3 + d = 4/3

d=1

To find value of f(10):

take n=10

f(n)=\frac{1}{3} +(10-1)1

f(n)=\frac{1}{3} +(9)1

f(n)=\frac{1+27}{3}

f(n)=\frac{28}{3}

8 0
3 years ago
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