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3 years ago

Solve the equation log4(x + 20) = 3

Mathematics

2 answers:

Ivan3 years ago

8 0

Answer:

Answer To The Whole Assignment

1. x= 44

2. x=7

3. (in order first box to last) 2,5,1,4,3

4. x= -5

5. D. This number is a true solution of the original equation.

6. x=2

7. A. log2[x(x – 6)] = 4

8. C. x2 – 6x – 16 = 0

9. x=8

10. x=1, x=2

11. There is no solution.

12. x=3 or x=-3

13. C. Only –3 is an extraneous solution.

14. The bases of the logarithms are not the same.The one-to-one property does not apply when the bases are not the same.The change of base formula should have been used to write the logarithms with the same base.

salantis [7]3 years ago

5 0

Answer:

Step-by-step explanation:

I don not understand what is for 4 here. So there are 2 cases:

Case 1: If you mean: log[4(x+20)]= 3

We know 3 = log(10^3)= log(1000)

So we have log[4(x+20)]= log(1000)

so 4(x+20)= 1000

and x+20 = 1000/4

x+20 = 250 and finally x= 250-20, x=230

The solution is 230.

Case 2; If you mean that 4 is the base of logarithm.

$log_{4}(x+20)= 3$

and we know that $3=log_{4}(3^{4} )= log_{4}(81)$

So we have $log_{4}(x+20)= log_{4}(81)$

and x+20 = 81

or x= 81-20

x=61

The answer is 61.

Hope that useful for you, both cases.

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The stock price for International Business Machines (IBM) historically has followed an approximately normal distribution (when a

olganol [36]

Answer:

0.494 is the probability that on a selected day the stock price is between $186.26 and $192.47.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $188.876

Standard Deviation, σ = $4.6412

We are given that the distribution of stock price is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(stock price is between $186.26 and $192.47)

$P(186.26 \leq x \leq 192.47) = P(\displaystyle\frac{186.26 - 188.876}{4.6412} \leq z \leq \displaystyle\frac{192.47-188.876}{4.6412}) = P(-0.5636 \leq z \leq 0.7743)\\\\= P(z \leq 0.7743) - P(z < -0.5636)\\= 0.781 - 0.287 = 0.494 = 49.4\%$

$P(186.26 \leq x \leq 192.47) = 49.4\%$

0.494 is the probability that on a selected day the stock price is between $186.26 and $192.47.

5 0

3 years ago

Decomponha os seguintes números a) 1.585 = b) 1.059= c) 2.440 d) 5.329 e) 8.801 f) 9.999 g) 3.718 h) 6.840 i) 7.504 j) 5.225 1)

vlada-n [284]

Answer:

a) 1.585 =1.0 + 0.5+ 0.08+0.005

b) 1.059= 1 .0+ 0.0+ 0.05+0.009

c) 2.440 = 2.0 + 0.4+ 0.04

d) 5.329= 5.0 + 0.3+ 0.02+0.009

e) 8.801 = 8.0 + 0.8+ 0.00+0.001

f) 9.999= 9.0 + 0.9+ 0.09+0.009

g) 3.718 = 3.0 + 0.7+ 0.01+0.008

h) 6.840= 6.0 + 0.8+ 0.04

i) 7.504 = 7.0 + 0.5 +0.004

j) 5.225 = 5.0 + 0.2+ 0.02+0.005

1) 4.063 = 4.0 + 0.0+ 0.06+0.003= 4+0.06+0.003

m) 2.597= 2 .0+ 0.5+ 0.09+0.007

Step-by-step explanation:

A medida que nos alejamos del punto decimal, el número de ceros aumenta y el dígito se mueve hacia la derecha.

Los valores después del decimal se denominan décimas, centésimas y milésimas.

a) 1.585 =1.0 + 0.5+ 0.08+0.005

b) 1.059= 1 .0+ 0.0+ 0.05+0.009

c) 2.440 = 2.0 + 0.4+ 0.04

d) 5.329= 5.0 + 0.3+ 0.02+0.009

e) 8.801 = 8.0 + 0.8+ 0.00+0.001

f) 9.999= 9.0 + 0.9+ 0.09+0.009

g) 3.718 = 3.0 + 0.7+ 0.01+0.008

h) 6.840= 6.0 + 0.8+ 0.04

i) 7.504 = 7.0 + 0.5 +0.004

j) 5.225 = 5.0 + 0.2+ 0.02+0.005

1) 4.063 = 4.0 + 0.0+ 0.06+0.003= 4+0.06+0.003

m) 2.597= 2 .0+ 0.5+ 0.09+0.007

The values after the decimal are called tenths hundredths and thousandths

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3 years ago

A science teacher has 0.4 of seawater she gives each of her 22 tune in a container or a 5ml spoon she asked as soon as you put t

lidiya [134]

Answer:

the photo is the answer

8 0

3 years ago

20 POINTS !<br><br><br> Please help because when I say I’m confused

Blizzard [7]

Answer:

1. B

2. A

3. C

Step-by-step explanation:

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3 years ago

Consider the function.

Licemer1 [7]

Answer:

Option 4

Step-by-step explanation:

Given function is,

$f(x)=2\frac{1}{2}-3\frac{1}{3}x$

Steps to get the inverse of the given function,

Step 1,

Convert the function into equation,

$y=2\frac{1}{2}-3\frac{1}{3}x$

Step 2,

Interchange the variables 'x' and 'y',

$x=2\frac{1}{2}-3\frac{1}{3}y$

Step 3,

Solve the equation for the value of y,

$x-2\frac{1}{2}=-3\frac{1}{3}y$

$x-\frac{5}{2}=-\frac{10}{3}y$

$-x+\frac{5}{2}=\frac{10}{3}y$

$-3x+\frac{15}{2}=10y$

$-\frac{3}{10}x+\frac{15}{20}=y$

$y=-\frac{3}{10}x+\frac{3}{4}$

Step 4,

Convert the equation into inverse function,

$f^{-1}x=-\frac{3}{10}x+\frac{3}{4}$

For x-intercepts,

Substitute y = 0,

$0=-\frac{3}{10}x+\frac{3}{4}$

$\frac{3}{10}x=\frac{3}{4}$

$x=\frac{10}{4}$

$x=\frac{5}{2}$

$x=2\frac{1}{2}$

Therefore, x-intercept of the inverse function is $(2\frac{1}{2},0)$ .

Option 4 will be the answer.

8 0

3 years ago