Find log0.81 rounded to the nearest tenth.

Answers

Answer 1

The value of the logarithm of 0.81 for logarithm properties is equal to - 0.1.

How to determine the value of a logarithm

Herein we must use logarithm properties to simplify a given logarithm and solve the resulting expression. The properties to be used in this question are described below:

㏒ (a / b) = ㏒ a - ㏒ b

㏒ aᵇ = b · ㏒ a

First, write the logarithmic equation:

㏒ 0.81

㏒ 81 / 100

Second, use the logarithmic property for a division:

㏒ 81 - ㏒ 100

Third, use the logarithmic property for a power:

㏒ 3⁴ - ㏒ 10²

4 · ㏒ 3 - 2 · ㏒ 10

4 · ㏒ 3 - 2

4 · 0.477 - 2

- 0.092

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Related Questions

evaluate for x=2

12x+8 divided by 4

Answers

Answer:

12x + 32

Step-by-step explanation:

Multiply 8 and 4 to get 32.

Use the graph of the function to find its domain and range. Write the domain and range in interval notation.

Answers

Domain : {-4, 3} and Range : {-1, 4}

What is Domain and Range ?

A relation's domain and range are established, and they consist of all ordered pairs' x and y coordinate sets, respectively.

Domain = the set of all x-coordinates Range = the set of all y-coordinates

Here, observe the line through x-axis

you'll see the it range from -4 to 3 on x-axis.

Therefore, Domain is {-4, 3}

Now, observe the line through y-axis

you'll see the it range from -1 to 4 on y-axis.

Therefore, Range is {-4, 3}

Hence, Domain : {-4, 3} and Range : {-1, 4}

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Which rule explains why these triangles are congruent?

Answers

I am 99.99 % sure that the answer is the SAS rule

What fraction represents the solution of 4p5 + 3 = 37 + 5p ?

Answers

Answer:

Step-by-step explanation:

p = 8

Can you guys please help?
A science fair has 405 projects. The coordinator displays the projects in rows of 42. How many rows have exactly 42 projects?
I really do not understand this. It would really help me if after you have answered the question, you could explain how you got that answer. Thank you!

Answers

Answer: x=9

Step-by-step explanation:

To get the answer, just divide, but you must not count in the rows that have less or more than 42 projects. 405/42=xThere are 9 rows that have exactly 42 projects because 42 x 9 = 378, which is the closest we can get to 405. 

Write an equation that represents the line. Use exact numbers.

Answers

8.5 because it is and i said so.

Use the following probabilities to answer the question. It may be helpful to sketch a Venn diagram.
P(A) = 0.37, P(B) = 0.43 and P(AandB) = 0.20.
P(B | not A) =
=

Answers

The probability of B | not A i.e. P(B | not A) is 0.3651

How to find P(B | not A)?

Probability is defined as the likelihood of a desired event happening.

Given that: P(A) = 0.37, P(B) = 0.43 and P(AandB) = 0.20.

We want to find P(B | not A)

Remember: P(A | B) = P(A n B) / P(B)

Thus,  P(B | not A) = P(B and not A) / P(not A)

P(not A) = 1 - P(A) = 1 - 0.37 = 0.63

P(B and not A) = P(B) - P(A and B) = 0.43 - 0.20 = 0.23

Hence,

P(B | not A) = P(B and not A) / P(not A) = 0.23 / 0.63 = 0.3651

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Find equivalent decimal number of (1100111)²and (16742)³

Answers

Answer:

[tex]1100111_2 = 103_{10}\\\\16742_3 = 7650_{10}[/tex]

Step-by-step explanation:

[tex]\textsf{I just used the programmer's version of the built-in calculator that comes with Windows}[/tex]

Find the equation (in terms of
x
of the line through the points (-5,-1) and (4,-5)

Answers

Answer:

-4/9x - 16.22222

Step-by-step explanation:

Use slope formula

(-5) - (-1) = -4

4 - (-5) = 9

Remember -(-) cancel out to become positive!

The answer is

-4/9x - 16.22222

I can't approximate the 16.222, it is literally that. I did trial and error.

If
log
b
(
8
)

0.8
log
b
(
8
)

0.8
and
log
b
(
5
)

0.6
log
b
(
5
)

0.6
,
log
b
(
200
)

log
b
(
200
)

Answers

The answer is [tex]Log_{b}200 = 2[/tex]

What is logarithm?

A logarithm is the power to which a number must be raised in order to get some other number.

Given that, [tex]log_{b} 8 = 0.8, log_{b} 5 = 0.6[/tex]

Using formula, [tex]log_{b} a+log_{b} b = log_{b} ab[/tex]

[tex]log_{b} 5 +log_{b} 5 = log_{b} 5*5 = log_{b} 25\\= 0.6+0.6 = 1.2\\\\[/tex]

[tex]log_{b} 200 = log_{b} 25*8\\log_{b} 25*8 = log_{b} 25 + log_{b} 25*8\\ log_{b} 25 + log_{b} 25*8 = 1.2 + 0.8 = 2[/tex]

Hence, The answer is [tex]Log_{b}200 = 2[/tex]

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Quadratic Equations and Complex Numbers

please give a clear answer, thank you <3

Answers

The result of the given terms is -2/5 as per the given question from complex numbers.

What is a complex number?

There is a multiplicative inverse for every nonzero complex number. As a result, complex numbers are a field with real numbers as a subfield. The complex numbers also form a two-dimensional real vector space with 1, I as the standard basis.

Because of this standard basis, the complex numbers form a Cartesian plane known as the complex plane. This allows for a geometric interpretation of complex numbers and operations, as well as the expression of geometric features and constructions in terms of complex numbers. Real numbers, for example, constitute the real line, which corresponds to the complex plane's horizontal axis.

=(((3/5)+(1/5)i)+((4/5)-(2/5)i) -((9/5)-(1/5)i))

=((3/5)+(4/5)-(9/5))-i((1/5)+i((1/5)-(2/5)+(1/5))

=(-2/5)+i(0)

= -2/5

Therefore, the result of the given terms is -2/5

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What is the value of (2,820/8) / 5?

[The slashes are divided by]

Answers

Answer:

70.5

Step-by-step explanation:

2,820/8 equals 352.5.

352.5/5 equals 70.5.

write polynomial function in standard form with given zeros, x=-2,0,1

Answers

The equation for the polynomial in the standard form is:

P(x) = x^3 + x^2 - 2x

How to find the equation of the polynomial?

A polynomial of degree N with the n zeros {x₁, x₂, x₃, ..., xₙ} is written as:

P(x) = (x - x₁)*(x - x₂)*...*(x - xₙ)

That is called the factorized form of the polynomial, and we are assuming that the leading coefficient is equal to 1 just for simplicity.

In this case we have 3 zeros {-2, 0, 1}, so the polynomial is of degree 3, and we can write it as:

P(x) = (x + 2)*(x - 0)*(x - 1)

To write the polynomial in the standard form, we need to expand the product:

P(x) = (x + 2)*(x)*(x - 1)

P(x) = (x^2 + 2x)*(x - 1)

P(x) = (x^3 + 2x^2 - x^2 - 2x)

P(x) = x^3 + x^2 - 2x

That is the polynomial.

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The straight line distance between the towns of Martville and Edentown is 120 miles. The straight-line distance between Martville and Newberg is 150 miles.
Which of the following represents a possible straight-line distance between Edentown and Newberg if the three towns form a right triangle on a map?
270 miles
30 miles
90 miles
135 miles

Answers

The straight-line distance between Edentown and Newberg is 90 miles. The correct option is the third option 90 miles

Calculating the straight-line distance between two towns

From the question, we are to determine the possible straight-line distance between Edentown and Newberg if the three towns form a right triangle.

Let the straight-line distance between Edentown and Newberg be x.

Now,

Assume that the straight-line distance between Martville and Newberg is the hypotenuse of the right triangle,

Then,

From the Pythagorean theorem, we can write that

150² = x² + 120²

22500 = x² + 14400

x² = 22500 - 14400

x² = 8100

x = √8100

x = 90 miles

Hence, the straight-line distance is 90 miles

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A shipment of 50 inexpensive digital watches, including 7 that are defective, is sent to a department store. The receiving department selects 10 at random for testing and rejects the whole shipment if 1 or more in the sample are found defective. What is the probability that the shipment will be rejected?

Answers

0.8926 is the probability that the shipment will be rejected.

What does the math term "probability" mean?

Probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.

                              Statistics describes the examination of events subject to probability.

The probability that a digital​ watch is defective p = 10/50 = 0.2

                                                                       n = 10

Using the binomial probability formula

             P(x) = ⁿCₓ pˣ ( 1 - p)ⁿ⁻ˣ

Let x be the random variable that represents the number of defective watches.

The probability that the shipment will be​ rejected

  P(x ≥ 1 ) = 1 - P(0)

               = 1 - ¹⁰C₀ ( 0.2)⁰ ( 0.8)¹⁰

               = 1 - ( 0.8)¹⁰

                = 0.8926258176  ≈ 0.8926

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Solve for x:-12x-14=34

Answers

Answer: x=4

Step-by-step explanation:

first you add both side by 14 to get 12x=48 then you divide both sides by 12 to get 4 so x=4

FIRST ANSWER WILL GET 100 PTS!

Eight soccer players order 14 pizzas to share equally among themselves.

How much pizza will each player receive?

Select each correct answer.

Responses

8 1/4 pizza

1 4/8 pizzas

1 4/8 pizzas

1 6/8 pizzas

Answers

Answer:

8 1/4

Step-by-step explanation:

Sould be your anwser.

Two ratios that both have values that are equal.
Group of answer choices

Measurement of a Quantity

Rate

Quantity

Equivalent Ratios

Answers

Answer:

Equivalent Ratios

Step-by-step explanation:

Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions.

The equality of two ratios is also known as proportion. The antecedent and consequent values are different.

Equivalent ratios are the same when we compare them. The two quantities of ratio should be of the same kind. To find an equivalent ratio we need to multiply.

Equivalent ratios are just like equivalent fractions. If two ratios have the same value, then they are equivalent, even though they may look very different!

Equivalent ratios or equal ratios are two ratios that express the same relationship between numbers as we covered in our tutorial on scaling up ratios.

Answer:

equivalent ratios

Step-by-step explanation:

Which function is best represented by the graph?

Answers

The exponential function graphed is the one in option A.

d(x) = (0.45)^x

Which is the function on the graph?

On the graph we can see some kind of exponential function, such that it has a vertical asymptote at x = -3

It also decreases as x increases, then the exponential function has a base that is smaller than 1 and larger than zero.

Because the y-intercept must be 1, we can discard option D where:

d(0) =4*(0.5)^0 = 4*1 = 4

Now, the only other option with a base between 0 and 1 is the first option:

d(x) = (0.45)^x

So that is the correct option.

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Given h(x)=4x+2, find h(5)

PLEASE HELP ME

Answers

Answer:22

Step-by-step explanation:

Answer: h(5)=22

Step-by-step explanation:

h(5) is saying that x is equal to 5

replace x with 5

h(5)=4(5)+2

h(5)=20+2

h(5)=22

What is the solution to the system of linear equations?

(–4.5, 4.25)
(–1.7, –2.8)
(0, –7)
(3, 0.5)

Answers

Answer:

−903.65625

Step-by-step explanation:

((((−4.5)(4.25))(−1.7−2.8))(0−7))((3)(0.5))

=((−19.125(−1.7−2.8))(0−7))((3)(0.5))

=(((−19.125)(−4.5))(0−7))((3)(0.5))

=86.0625(0−7)(3)(0.5)

=(86.0625)(−7)(3)(0.5)

=−602.4375(3)(0.5)

=(−602.4375)(1.5)

=−903.65625

please help i will give brainliest

Answers

Explanation:

We want to prove by contradiction that corresponding angles 1 and 5 made by a transversal crossing non-parallel lines are not congruent.

To prove by contradiction, we make an assumption that results in a demonstrably false conclusion. This allows us to conclude the assumption is false.

Proof

Assume angles 1 and 5 are congruent.

Then lines m and n are parallel by the converse of the corresponding angles theorem.

Lines m and n are not parallel, hence our assumption must be false.

Angles 1 and 5 are not congruent.

What is 417 divided by 3 and what is the remainder

Answers

Answer:

139

Step-by-step explanation:

The number 417 divided by 3 gives the quotient of 139 and leaves the remainder of 0.

Given a division problem.

Here, the dividend is 417.

The divisor is 3.

It is required to find the quotient and the remainder of this division problem.

It can be done using the normal division method.

The first term of the dividend is 4.

4 = (3 × 1) + 1

So, the first digit of the quotient is 1.

The remainder, 1, goes to the other digit of the dividend and it becomes 11.

11 = (3 × 3) + 2

The second digit of the quotient is 3.

The remainder 2 goes to the last digit and it becomes 27.

27 = (3 × 9) + 0

The third digit of the quotient is 9.

The remainder is 0.

Hence, the quotient is 139 and the remainder is 0.

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Percent of Sales Method At the end of the current year, Accounts Receivable has a balance of $805,000, Allowance for Doubtful Accounts has a debit balance of $7,000, and sales for the year total $3,620,000. Bad debt expense is estimated at 3/4 of 1% of sales. a. Determine the amount of the adjusting entry for uncollectible accounts.

Answers

If Percent of Sales Method At the end of the current year, Accounts Receivable has a balance of $805,000.  the amount of the adjusting entry for uncollectible accounts is  $27,150.

How to find the amount of bad  debts?

a. Amount of bad  debts

Amount of bad  debts = Sales × Bad debts rate

Amount of bad  debts = $3,620,000×0.75%

Amount of bad  debts= $27,150

b. Adjusted balances

Accounts Receivable           $805,000

Allowance for Doubtful Accounts    $20,150

( $27,150- $7,000)

Bad Debt Expense                            $27,150

c. Net realizable value of accounts receivable

Net realizable value of accounts receivable = Balance of accounts receivables  - Allowance for Doubtful Accounts

Net realizable value of accounts receivable =  $805,000-  $20,150

Net realizable value of accounts receivable = $784,850

Therefore the amount of bad  debts is $27,150.

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78x7x54x8 show your work

Answers

Answer:

235,872

Step-by-step explanation:

Simplify:

78×7×54×8

78×69

= 235,872

Answer:

235872

Step-by-step explanation:

I hope it's useful to you

please help want! easy thank you so much!!

7. Serena estimates that she can paint 40 square feet of wall space every half-hour. Can Serena paint at least 180 square feet of wall space in 2.5 hours? Why or why not?


A. Yes, 180(2.5)= 450, and 450 > 180


B. Yes, 80(2.5) = 200, and 200 > 180


C. No, 40(2.5) = 100, and 100 < 180


D. No, 80(0.5)= 40, and 40 < 180

Answers

Answer:

B. Yes, 80(2.5) = 200, and 200 > 180

Step-by-step explanation:1. Addition:

If Serena can paint 40 square feet in 30 minutes, then:

40 + 40 = 80 sq. ft.

30 + 30 = 1 hour

80 + 40 = 120 sq. ft.

60 + 30 = 1.5 hours

120 + 40 = 160 sq. ft.

90 + 30 = 2 hours

160 + 40 = 200 sq. ft.

120 + 30 = 2.5 hours

So, what I just did was adding the 30 minutes and the 40 square feet at the same time until I got to 2.5 hours, and seeing if I also got to 180 square feet. Which I did. I actually got to 200 sq. ft. That means our answer is B. Yes, 80(2.5) = 200, and 200 > 180

Solution:

B. Yes, 80(2.5) = 200, and 200 > 180

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

can someone help me? I can't get rid of this test and it won't let me do it, I really don't know what to do and my grades will start to go down because I can't do it. (sorry if none of this makes sense)​

Answers

Answer:

Step-by-step explanation:

There is no question to help with? Maybe ask your teacher or computer guy.

What are the domain and range of h(x) = 3|x|?

Answers

Domain: [tex]([/tex] -∝,∝ [tex])[/tex], { [tex]x|x[/tex] ∈ R }

Range: [tex][0,[/tex] ∝ [tex])[/tex], { [tex]y|y\geq 0[/tex] }

Hope this helps!

Which equation accurately represents this statement? Select three options. Negative 3 less than 4.9 times a number, x, is the same as 12.8. Negative 3 minus 4.9 x = 12.8 4.9 x minus (negative 3) = 12.8 3 + 4.9 x = 12.8 (4.9 minus 3) x = 12.8 12.8 = 4.9 x + 3

Answers

The value of x in the statement negative 3 less than 4.9 times a number x is the same as 12.8 is 2.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given a statement negative 3 less than 4.9 times a number, x, is the same as 12.8 this can be numerically expressed as,

4.9x - (- 3) = 12.8.

4.9x + 3 = 12.8

4.9x = 12.8 - 3.

4.9x = 9.8.

x = 9.8/4.9.

x = 2.

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5. The population of deer in a park is growing over the years. The table below gives the population found in a
survey by local wildlife officials.
Year
2000
2003
2006
2009
Deer Population
168
216
264
312
(a) Find the average rate that the deer population is changing over each time interval below:
From 2000 to 2003
From 2003 to 2006
From 2006 to 2009
(b) Why does this calculation indicate a linear (c) Ift stands for the number of years since 2000,
relationship?
write an equation for the deer population, p, as a
function of 1.
(d) What does your model predict the deer (e) How many years will it take for the deer
population to be in the year 2014?
population to reach 500? Round to the nearest
year.

Answers

a) The average rate of change is 16.

b) The Calculation is linear because the average rate of change is same.

c) p= 16t + 168

d) The population in 2014 is 8168.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

a) The average rate of change

From 2000 to 2003 = (216- 168)/ 3

                                  = 16

From 2003 to 2006 = (264- 216) / 3

                                  = 16

From 2006 to 2009 = (312- 264)/ 3  

                                  = 16

b) The Calculation is linear because the average rate of change is same.

c) From the year 2000, the intercept is 168.

So, p= 16t + 168

e) The population in 2014

p = 16(500)+ 168

  = 8168.

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take stereochemistry into account and describe expected stereoisomers if any. of the following products, which will be formed as a racemic mixture. select all that apply governments usually regulate monopolies when the costs associated with the production of an essential good or service are relatively and it may not make sense to have multiple firms duplicating these costs. Match the following vocabulary words with their definitions.1.an oval having both ends alike gravity 2.the natural force that makes objects move or tend to move toward each other aphelion 3.the path of the earth or any planet around the sun ellipse 4.to move around a center or axis rotate 5.instrument for making distant objects appear nearer, larger, and brighter perihelion 6.the point in a planet's orbit that is farthest from the sun revolution 7.the point in a planet's orbit that is nearest the sun orbit 8.movement around some point in a circle or curve telescope 9.a formal written work dealing with some subject treatise Simplify the expression.2.4-5.4n3n+6...2.4-5.4n-3n+6=(Simplify your answer. Use integers or decimals for any numbers in the expression.) Answer the following question in 3-4 complete sentences. What was written on the rosetta stone? how did historians manage to decode the rosetta stone?. edit: I did this, but im curious on what other ppl would findIn 2006, in Canada, 7.4 million out of 31.4 million of canadians said they spoke french.Between 2006 and 2011, Canada's population went up 6%, and the number of canadians speaking french went up 300 000.Did the pourcentage of french-speaking canadians go up or down between 2006 and 2011? Which pollutant would you expect to be present in low concentrations during morning rush hour in a large city like chicago?. research on prospective memory shows that older adults have more difficulty when the task involves which type of mental activity? Drag each expression to the correct location in the equation. not all expressions will be used. determine the two rational expressions whose difference completes this equation. what is the answer i will give brainllest given a diffraction grating with 300 lines per mm, what is the spacing d between lines? as- suming that the lines in the grating are manufactured with a tolerance of 1%, what is the estimated uncertainty in the line spacing d in terms of the possible causes of prejudice, which reason centers on how humans establish in-groups and out-groups leading to the blame being placed What kind of triangle has angles 60, 60, and 60? g a 4 kg ball is thrown straight up in the air. what is the net force acting on the ball when it reaches its maximum height? what is the ball's acceleration at this point? 1.The serve in volleyball may sometimes be considered a dangerous weapon.A)TrueB)False most known bacteriophages have which type of morphology? group of answer choices siphovirus podovirus myovirus microvirus In Jamestown's early years,dozens of colonistsdied of starvation and illnessRead this excerpt from a speechthat John Smithmade to the colonists.What is Smith telling the colonists?Everyone will gather food, except the sick.All colonists will be expected to gather food,including the sick.The colony's government will provide freefood for the colonists. What is smith telling the colonists ? in united states history, who is the only third-party candidate to ever finish second in a presidential election? The ratio of the percentage change in the quantity supplied of a good/service/e-good/e-service to a given percentage change in its price, or cost, is known as the price elasticity of supply. True False Lena buys a 32-oz package of cheese. Does she have enough cheese to make 2 batches of mac-and-cheese and 3 pizzas? Explain.