Which of these expressions is equivalent to log (9^2)?
A. log (2) - log (9)
B. 2 * log (9)
C. log (2) + log (9)
D. log (2) * log (9)

Answers

Answer 1

Answer:

B. 2 * log (9)

Step-by-step explanation:

I put them both into my calculator and got the same answer both times.

Answer 2

The expression that is equivalent to log(9^2) is 2log89. Option B is correct.

According to the law of logarithm,

log (a^b) = blog a

Note that the power of the function is taken to the back of the logarithmic function.

Given the log function log(9^2), to get the equivalent expression, we will simply take the power which is 2 to the back of the log function to have 2log9

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Related Questions

a rectangular rug measures 8 feet long and 12 feet wide . what is the area of the rug​

Answers

Answer:

96 square feet

Step-by-step explanation:

Area= length x width

So for the rug it would be 12x8

12x8=96

g(t) = 6t - 1

g ( ) = -7

Answers

Answer:

  g(-1) = -7

Step-by-step explanation:

Put the given value for g(t) into the first equation and solve for t.

  -7 = 6t -1

  -6 = 6t . . . . . . add 1

  -1 = t . . . . . . . . divide by 6

g(-1) = -7

Answer: -1

Step-by-step explanation:

How do I type in exponents

Answers

Answer:

on what

Step-by-step explanation: normaly you have a button that you can have certain characters

Find z1z2 if z1 = 3(cos37° + isin37°) and z2 = 2/3(cos53° + isin53°).

Answers

Answer:

[tex]z_{1}\cdot z_{2} = 2\cdot (\cos 90^{\circ} + i \cdot \sin 90^{\circ})[/tex]

Step-by-step explanation:

Both variable can be rewritten into polar form:

[tex]z_{1} = 3\cdot e^{i\cdot 0.205\pi}[/tex] and [tex]z_{2} = \frac{2}{3}\cdot e^{i\cdot 0.294\pi}[/tex]

The complex product is equal to:

[tex]z_{1}\cdot z_{2} = (3)\cdot \left(\frac{2}{3}) \cdot e^{i\cdot (0.205\pi+0.294\pi)}[/tex]

[tex]z_{1}\cdot z_{2} = 2 \cdot e^{i\cdot 0.499\pi}}[/tex]

The resultant expression in rectangular form is:

[tex]z_{1}\cdot z_{2} = 2\cdot (\cos 90^{\circ} + i \cdot \sin 90^{\circ})[/tex]

Answer:

The correct question is:

Find [tex]z_{1}.z_{2}[/tex] if [tex]z_{1}= 3(cos37 + isin37)[/tex] and [tex]z_{2}= \frac{2}{3} (cos53 + isin53)[/tex].

(Note: the angles mentioned in the equations above are in degrees)

The answer is [tex]z_{1}.z_{2}= 2i[/tex]

Step-by-step explanation:

[tex]z_{1}.z_{2}= 3(cos37 + isin37)* \frac{2}{3} (cos53 + isin53)[/tex]

[tex]z_{1}.z_{2}= (3cos37 + 3isin37)* (\frac{2}{3} cos53 + \frac{2}{3}isin53)[/tex]

[tex]z_{1}.z_{2}= 3cos37*\frac{2}{3} cos53 + 3cos37*\frac{2}{3}isin53+3isin37*\frac{2}{3} cos53+3isin37*\frac{2}{3}isin53[/tex]

[tex]z_{1}.z_{2}= 0.961+1.275i+0.724i-0.961[/tex] (Because [tex]i*i=i^{2}=-1[/tex] & [tex]i=\sqrt{-1}[/tex])

[tex]z_{1}.z_{2}= 0.961+1.275i+0.724i-0.961[/tex]

[tex]z_{1}.z_{2}= 2i[/tex]


(13 – 6)^2 (5 + 2)^2÷(5 – 2)^3

Answers

Answer:

88 25/27

Step-by-step explanation:

(13 – 6)^2 (5 + 2)^2÷(5 – 2)^3

PEMDAS

Parentheses first

(7)^2 (7)^2÷(3)^3

Then exponents

49*49 ÷27

Then multiply and divide from left to right

2401÷27

2401/27

88 25/27

88.92592593

Answer:

Step-by-step explanation:

(7)^2(7)^2 / (3)^3

49*49 / 27

2401/27

88 25/27

Solve each equation.
13 = -2w

Answers

Answer:

w = -6.5

Step-by-step explanation:

We want to get rid of the coefficient of w so that we can solve for w. To do that, let's divide both sides of the equation by -2. When we do so, we get -13/2 = w. Hope this helps!

Which set of numbers is included in the solution set of the compound inequality? {–7, 5, 18, 24, 32} {–9, 7, 15, 22, 26} {16, 17, 22, 23, 24} {18, 19, 20, 21, 22}

Answers

Answer:

{-7,5,18,24,32}

Step-by-step explanation:

Let's verify all cases to determine the solution to the problem.

CASE A) we have

-9,7,15,22,26

The number 22 is not included in the solution set of the compound inequality.

CASE B) we have

-7,5,18,24,32

The number 22 is not included in the solution set of the compound inequality.

CASE C) we have

16,17,22,23,24

The number 22 is not included in the solution set of the compound inequality.

CASE D) we have

18,19,20,21,22

The numbers 19,20,21,22 are not included in the solution set of the compound inequality.

The answer to your question would be A

In the figure below, which term best describes point T?

Answers

Answer:

A

Step-by-step explanation:

What is the slope for the linear function y=3x-4

Answers

Answer:

3

Step-by-step explanation:

This is written in the form

y= mx+b

where m is the slope and b is the y intercept

3 is the slope and -4 is the y intercept

what is this phrase in numerical expression

triple the sum of seventeen and ten

pls help

Answers

Answer: so you would do 17 plus ten which is 27 so triple 3 so your answer is 27^3

Step-by-step explanation:

sum so your adding plus you need the exponent which is times 3

A spinner is divided into 8 equal sections numbered 1 to 8. About how many times would you expect the pointer to land on a number less than 6 if the pointer is spun 30 times.

Answers

Answer:

The answer is

6.25×30= 18.75

I'm not sure but this is what I think

Consider the graph of the exponential function, y =3(2)^x. The x- intercept of the graph is

Answers

Answer:

the x intercept is 2

Step-by-step explanation:

I just went over this unit

Answer:

2

Step-by-step explanation:

Brainliest for anyone if they get this CORRECT.

Answers

answer is D7/2

hope it helps!!!!!!!!!!!!!!!!!!!!!!

A friendly contest involves randomly drawing a marble from a bag that contains 16 blue marbles, 12 red
marbles, and 8 yellow marbles. If a blue marble is drawn, Nathan wins. If a red marble is drawn, Taylor wins.
If a yellow marble is drawn, Cady wins.
Who is most likely to win the contest?
1 Nathan
2 Cady
3 They are equally likely to win.
4 Taylor

Answers

Answer: I have a huge feeling it would be Nathan because he has the most blue marble. Yk?

HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

D. Vertx: (3,-16); Intercepts: x = -1, 7

Step-by-step explanation:

I graphed the equation on the graph below.

j+ 12 =25 find the solution to equation algebtaically​

Answers

Answer:

j= 13

just subtract 12 from 25

Start by isolating the j.

Subtract 12 from both sides.

On the left, the 12 and -12 cancel.

On the right, 25 - 12 is 13.

So we have j = 13.

A regular deck of cards has 52 cards with 4 aces. Carl asked a friend to pick a card from the deck three times, replacing the card each time. His friend picked three aces. Which expression will give the probability of that event?
(StartFraction 4 over 52 EndFraction) (StartFraction 4 over 52 EndFraction) (StartFraction 4 over 52 EndFraction)
(StartFraction 1 over 52 EndFraction) (StartFraction 1 over 51 EndFraction) (StartFraction 1 over 50 EndFraction)
(StartFraction 4 over 52 EndFraction) (StartFraction 4 over 51 EndFraction) (StartFraction 4 over 50 EndFraction)
(StartFraction 4 over 52 EndFraction) (StartFraction 3 over 51 EndFraction) (StartFraction 2 over 50 EndFraction)

Answers

Answer:

The answer is A

Step-by-step explanation:

Edg : )

Answer:

A

Step-by-step explanation:

If you flipped a fair coin 18 times about how many times would you expect heads to appear?

Answers

Answer:

9 times

Step-by-step explanation:

hope this helps

Answer:

9

Step-by-step explanation:

Mathematically, 9, although reality wise, you could flip the coin and get heads every time, or the opposite.

I think you mean mathematically though, so yes, it would be 9.

A bag contains 10 Yellow, 4 Green and 7 Blue marbles. Find the following probabilies.
P(blue)

Answers

Answer:

1/3

Step-by-step explanation:

The total number of marbles

10+4+7 = 21

P(blue) = blue marbles / total marbles

            = 7 / 21

            = 1/3


which is equivalent to sin^-1 ( sqrt 3/2 )? Give your answer
Give your answer in radians.

Answers

Answer: pi/3

Step-by-step explanation:

correct on edge 2020

The equivalent value of trigonometric relation sin⁻¹ ( √3/2 ) = π/3

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric relation be represented as A

Now , the value of A is

sin⁻¹ ( √3/2 ) = θ

Now , the value of θ is calculated by

In a triangle , sin θ = opposite / hypotenuse

So , sin θ = √3/2

The value of θ = 60°

So , the measure of 60° in radians is θ = π/3

Hence , the value of θ from the trigonometric relation is π/3

To learn more about trigonometric relations click :

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Suppose the probability of an athlete taking a certain illegal steroid is 10%. A test has been developed to detect this type of steroid and will yield either a positive or negative result. Given that the athlete has taken this steroid, the probability of a positive test result is 0.995. Given that the athlete has not taken this steroid, the probability of a negative test result is 0.992. Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid

Answers

Answer:

93.25% probability that they have taken this steroid

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Positive test

Event B: Taking the steroid.

Suppose the probability of an athlete taking a certain illegal steroid is 10%.

This means that [tex]P(B) = 0.1[/tex]

Given that the athlete has taken this steroid, the probability of a positive test result is 0.995.

This means that [tex]P(A|B) = 0.995[/tex]

Positive test:

99.5% of 10%(If the athlete has taken).

100-99.2 = 0.8% of 100-10 = 90%(Athlete has not taken)

Then

[tex]P(B) = 0.995*0.1 + 0.008*0.9 = 0.1067[/tex]

Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.1*0.995}{0.1067} = 0.9325[/tex]

93.25% probability that they have taken this steroid

Shira packs 170 lemon bars in boxes for the bake sale. Each box holds 8 lemon bars. She takes home the lemon bars tha are leg over after she has filled as many boxes as possible. Ahora use partial quotients to find how many boxes of lemon bars she can fill to sell at the bake sale. She finds only two partial quotients when she divides. Use the numbers in the box to answer the questions
1 2 7 8 20 21 23 27 29

Answers

Question:

1. How many full boxes of lemon bars can Shira fill?

2. How many delicious lemon bars will she be taking home?

Answer:

1. Number of filled box = 21

2. Number of take home = 2

Step-by-step explanation:

Given

Number of lemon bars = 170

Each bar contains 8 lemon bars

Required

(1) & (2)

To calculate the number of boxes Shira can fill, we simply divide the total number of bars by constituents of each bar .

i.e.

Number of filled box = 170/8

Number of filled box = 21.25

But here, we only need the quotient of the division because it represents the filled boxed.

So,

Number of filled box = 21

Calculating the number of take home.

We'll follow the same steps as (1) above but here, we only need the remainder of the division.

When 170 is divided by 8, the remainder is 2.

So, number of boxes she'll take home is 2.

See calculation below

Number of take home = 170 % 8

Number of take home = 2

What is the area of a rectangle with sides length of 5/12 feet and 2/3 feet

Answers

Answer:

The answer is 10/36 or if you want to simplify, 5/18

Step-by-step explanation:

To solve the area of a rectangle, you need to multiply the sides with each other, so 5/12 x 2/3 is 10/36 (unsimplified) . You multiply the numerators and then the denominators and simplify.

In the past, 19% of all homes with a stay-at-home parent had the father as the stay-at-home parent. An independent research firm has been charged with conducting a sample survey to obtain more current information. (a) What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03? Use a 95% confidence level. (Round your answer up to the nearest whole number.)

Answers

Answer:

A sample size of 657 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

In the past, 19% of all homes with a stay-at-home parent had the father as the stay-at-home parent.

This means that [tex]\pi = 0.19[/tex]

(a) What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03?

A sample size of n is needed.

n is found when [tex]M = 0.03[/tex]

Then

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.19*0.81}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.19*0.81}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.19*0.81}}{0.03}[/tex]

[tex](\sqrt{n})^{2} = (\frac{1.96\sqrt{0.19*0.81}}{0.03})^{2}[/tex]

[tex]n = 656.91[/tex]

Rounding up to the nearest whole number.

A sample size of 657 is needed.

If you roll a die three times, what is the probability of rolling three ONES?

(Give your answer as a decimal, rounded to the nearest thousandth. That is, rounded to three decimal places.)

Answers

Answer:

0.004

Step-by-step explanation:

The probability of rolling any number is 1/6 so that times 3 is 1/216 that as a decimal i 0.004

Which expression represents a factorization of 32m + 56mp ?

Answers

Answer:

8m(4 + 7p)

Step-by-step explanation:

Take out the greatest common factor:

8m(4 + 7p)

What is the quotient?
(6 * 108) = (1.5 x 10-4)
4 x 1012
4 x 104
4 x 10-32
4 * 10-2​

Answers

Answer:

The first choice.

Step-by-step explanation:

6 * 10^8 /  1.5 * 10^-4

= (6/1.5)  * (10^(8 - (-4))

= 4 * 10^12.

Answer:

4 x 1012

Step-by-step explanation:

A sphere is inscribed in a cube. Explain the relationship between the surface areas of the two solid figures

Answers

Answer:

No one knows. Jk just go look at the other brainly links. the question has already been asked and answered so you can go see them there.

Step-by-step explanation:

:)

Tate is paid $17.35 per hour with time and a half overtime. What will his gross pay period in which he worked 35 hours one week and 44 hours next week for a total 79 hours?

Answers

Answer:

The new rule has a higher salary level for exemption from overtime, at $684 a week. This means that lower-pay exempt employees may qualify for overtime.

Step-by-step explanation: this is your answer plz rate e the most brainlest

We conduct a study to determine whether the majority of community college students plan to vote in the next presidential election. We choose a significance level of 0.05. We survey 650 randomly selected community college students and find that 54% of them plan to vote. The P-value is 0.02. H0: 50% of community college students plan to vote in the next presidential election. Ha: More than 50% of community college students plan to vote in the next presidential election. What can we conclude

Answers

Answer:

we can conclude that more than 50% of community college students plan to vote in the next presidential election

Step-by-step explanation:

Decision Rule

If;

P-value > significance level --- accept Null hypothesis

P-value < significance level --- reject Null hypothesis

Z score > Z(at 95% confidence interval) ---- reject Null hypothesis

Z score < Z(at 95% confidence interval) ------ accept Null hypothesis

Null hypothesis H0: 50% of community college students plan to vote in the next presidential election

H0: p = 0.50

Ha: More than 50% of community college students plan to vote in the next presidential election

Ha: p > 0.50

P-value = 0.02

From the decision rule;

Since the p-value for this study is less than the significance level.

0.02 < 0.05

So, we reject the null hypothesis, there is enough evidence to reject the null hypothesis. We thereby accept the alternative hypothesis.

Therefore, we can conclude that more than 50% of community college students plan to vote in the next presidential election

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