Solve the given equation. If necessary, round to four decimal places.
log3^0.1+ 2log3^x = log3^2 + log3^ 5

The 6th term of the geometric sequence is of -4096.

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

For this problem, we have that:

Thus the 6th term of the sequence is found as follows:

[tex]a_6 = a_1q^5 = 4(-4)^5 = -4096[/tex]

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(D) the floor of a classroom is a perfect example of a line segment.

Therefore, (D) the floor of a classroom is a perfect example of a line segment.

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The correct form of the question is given below;
Which is an example of a line segment?

(A) the edge of a book

(B) the corner of a box

(C) a beam of light

(D) the floor of a classroom

Answer:

1. 47
2. 4

Step-by-step explanation:

1. 4a + 5b

4(8) + 5 (3)

32+ 15
=47

2. 3a/2b
3(8)/2(3)
24/6
=4

Answer:

3/6 = 1/2

Step-by-step explanation:

There are only 3 even numbers on a 6-sided dice:;2, 4, and 6, so this would mean we have a 3 out of 6 chance of getting an even number. Simplify that, and you get one-half.

Answer:

1/6

Step-by-step explanation:

1 cube and 6 rolls

The value of r is 11°

From the information given, we have that;

Both angles are complementary angles.

It is important to note that complementary angles sum up to 90 degrees

Then, we have;

52 ° + 4r - 6° = 90°

collect like terms

4r + 46° = 90 °

4r = 90 - 46

4r = 44

Make 'r' the subject of formula

Divide both sides by 4

4r/4 = 44/4

r = 11°

Thus, the value of r is 11°

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Answer:

Step-by-step explanation:

[tex]A=LWH\\[/tex]

Divide both parts of the equation by LW:

[tex]\displaystyle\\\frac{A}{LW} =H\\\\Thus,\\\\H=\frac{A}{LW}[/tex]

This situation can be represented by the function f(x)=1000+150x.

Linear Equation can be defined as the equation that have  highest degree 1.

For Example : 3x+6 is a linear equation as it's highest degree is 1.

In the given question

Total money saved=initial amount+(money saved per week)*(number of weeks)     …(1)

Given that

Jessica already saved = $1000

money to be saved per week = $150

let the number of weeks she will be saving money =x

let f(x) be the function used to represent money saved

Substituting the values in eqn (1) we get

f(x)=1000+150(x)

Therefore , this situation can be represented by the function f(x)=1000+150x.

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Answer:

You have to give proof of why the question is true by slowly giving facts about the angles

Step-by-step explanation:

3q+30q+12q = 45q

Hope that helped :)

Answer:

35q+8qq

Step-by-step explanation:

i know is ryt

but y did u separate de first 4's other q like dat?

M+=108 is a technique to indicate a compound's molecular formula; it only contains simple numbers for each type of atom in a molecule and no structural information.

An organic chemical molecule that only contains hydrogen and carbon atoms is referred to as a hydrocarbon. Natural hydrocarbons are the building blocks of coal, natural gas, crude oil, and other significant energy sources. They burn easily and emit heat, water, and carbon dioxide when they are burned. As a result, hydrocarbons constitute a very efficient fuel source. The concerned hydrocarbon molecule contains 12 hydrogen atoms and 8 carbon atoms. The resulting chemical is C8H12. C8H12 is composed of one ring and two double bonds.

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Answer: 36

Step-by-step explanation: the reason why is that if each hour there is 12 commercials then by the third hour there will be 36 we can also use multiplication 12x3=36  I hope that helps

The coins that represent the 20 5 of her coins that is 280 are 56 coins.

We know that:

Fatoumata has a collection of 280 coins.

Now, we need to tell how many coins will be its 20 %.

For this we will calculate 20 percent of 280

So, number of coins = N will be:

N = 20 % of 280

N = 20 % × 280

N = 20 / 100 × 280

N = 2 × 28

N = 56 coins

Therefore, we get that, the coins that represent the 20 5 of her coins that is 280 are 56 coins.

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We can conclude that the value of both mean and median increases when we remove the lowest value, 0, from the data set.

(1) First, we have to find the value of the mean and median with the value of 0.

(A) Mean: Sum of all values/Number of terms

(B) Median: If the number is an even number, add the two middles and divide by 2.

(2) Now, we have to find the value of the mean and median without the value of 0.

(A) Mean: Sum of all values/Number of terms

(B) Median: If there are an odd number of observations, the number in the middle of the list is the median.

Therefore, we can say that the value of both mean and median increases when we remove the lowest value, 0, from the data set.

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Answer: 2y-13

Step-by-step explanation: 2y => double of lenght
-13 => less than

Answer:

y

Step-by-step explanation:

x^(-7) * x^7 * y^(-6)/y^(-7)=

x^(-7+7) * y^(-6-(-7))=

x^0 * y^(-6+7)=

1 * y^(7-6)=

y^1=y

The answer is 2000000$  . Victoria need to sell 2000000$ this year to achieve $60000 this annum.

As per the question ,  3 percent of her yearly is equivalent to $30000 ,

If 3 percent is equivalent to $30000 , then 100 % is equal to , ( 30000 × 100/3  = 1000000 $ )

Now , we can conclude , the realtor sold worth of 1000000 $.

If Victoria want to earn 60000$ then She has to sell ( 60000 ×100/3 = 2000000 $ ) as only 3 % is equivalent to 60000 $  .

This year 2000000$ will she need to sell .  

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Answer: 44

Step-by-step explanation: basically replace b with 6 and a with 4 in the expression 8b-a, which turns out to be 8(6)-(4). We're subtracting 4 from the product of 8(6), which is 48. 48-4 = 44

Answer:

m<ABD = 24°

m<DBC = 119°

Step-by-step explanation:

m<ABD + m<DBC = m<ABC

2x - 40 + 3x + 23 = 143

5x - 17 = 143

5x = 160

x = 32

m<ABD = 2x - 40 = 2(32) - 40 = 24

m<ABD = 24°

m<DBC = 3x + 23 = 3(32) + 23 = 119

m<DBC = 119°

Answer:

197miles

Step-by-step explanation:

because on avg drove 35 miles per gallon. so if we use 6x35 we would have how far he can drive on 6 gallons gas

Answer:

ab don't delete my question aga

Step-by-step explanation:

The constant of proportionality is 28.2.

It should be noted that the miles driven and the number of gallons used has been given.

Therefore, the constant of proportionality will be:

= Miles driven / Gallons used

= 930.6 / 33

= 28.2

Therefore, the constant of proportionality is 28.2.

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Answer: hi! for the denominators (5, 9, 7) the least common multiple

Step-by-step explanation:

(LCM) is 315.

LCM(5, 9, 7)

Therefore, the least common denominator (LCD) is 315.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

3/5 = 3/5 × 63/63 = 189/315

4/9 = 4/9 × 35/35 = 140/315

6/7 = 6/7 × 45/45 = 270/315

The probability that it is gold is (1/3).

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability. If two events are mutually exclusive, then there is a 0 percent chance that they will both happen at the exact moment. Two events are said to be mutually exclusive if they share no elements (their intersection is the empty set). Consequently, P(A∩B)=0.

Let A be the event that a gold marble is picked.

Let B₁ and B₂ be the event that the first bag is chosen and the second bag is chosen respectively.

Given: P (B₁ ) = 2.P(B₂)

Also, P(B₁) + P(B₂) = 1

∴ 2P(B₂) + P(B₂) =1

3P(B₂) = 1

P(B₂) = 1/3 and  P(B₁) = 2/3

Now

P(A)

= P(A∩(B₁∪B₂))

= P[(A∩B₁)∪(A∩B₂)]

Probability adds up because the events are mutually exclusive

= P(A∩B₁) + P(A∩B₂)

= P(B₁). P(A/B₁) + P(B₂). P(A/B₂)

= (2/3)×(3/16) + (1/3)×(15/24)

= (1/3)

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Answer:

Step-by-step explanation:

8 1/3 pages/10 minutes = 25/3 pages / 10 minutes = 25/30 pages/minute = 5/6 page/minute

The coordinates of B is (1,-3) .

It is given that midpoint of AB is (3, -1) and coordinates of A is (5, 1) .

Let the coordinate of B be (x, y) .

By using midpoint formula , we get

[tex](3, -1)=(\frac{5+x}{2} , \frac{y+1}{2} )\\[/tex]

On comparing , we get the x- coordinate

   [tex]\frac{5+x}{2} =3\\\5+x=6\\x=1[/tex]

On comparing , we get the y- coordinate

[tex]\frac{1+y}{2} =-1\\\\1+y=-2\\y=-3[/tex]

Hence , the coordinates of B is (1,-3) .

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According to the given statement  an inequality to determine the minimum number of hours she needs to practice on each of the 2 days two and one third + 2x ≥ 4.

The correct option is A.

The lowered life expectancy, higher infant mortality, lesser social mobility, , and mental illness are all factors that contribute to lower life expectancy.

Income disparity. Income inequality is defined as the degree to which money is distributed unevenly among a group of people.

Pay Disparity. The pay of an individual changes from their income. Pay simply refers to the money earned through employment.

Inequality of wealth.

Given,

How many hours she has already practiced= , 2/3

She also wants to train for another two days, putting up equal hours each day.

Let x be the number of hours she practised each day.

As a result, the total number of hours kate practiced in two days was = 2x

As a result, the total amount of time she practiced = 2/3 + 2x

If she wishes to practice for at least four hours,

2/3 + 2x  ≥ 4

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I understand that the question you are looking for is:

Nicole needs to spend at least four hours each week practicing the guitar. She has already practiced two and one third hours this week. She wants to split the remaining practice time evenly between the last two days of the week. Write an inequality to determine the minimum number of hours she needs to practice on each of the two days.

A. two and one third + 2x ≥ 4

B. two and one third + 2x ≤ 4

C. two and one third x + 2 ≤ 4

D. two and one third x + 2 ≥ 4

The recursive formula for the sequence is T(n+1) = Tn - 3 where T1 = 19 and the explicit formula for the sequence is Tn = 22 - 3n

On the given graph, we have the following points

19, 16, 13, 10, 7

These points represent the nth term of the sequence

See that the points have a common difference of -3

Hence, the sequence is an arithmetic sequence

In (a), we have

T1 = 19

d = -3

So, we have

T2 = T1 + d

This gives

T2 = T1 - 3

Express 2 as 1 + 1

So, we have

T(1+1) = T1 - 3

Express 1 as n

So, we have

T(n+1) = Tn - 3

Hence, the recursive formula for the sequence is T(n+1) = Tn - 3 where T1 = 19

In (a), we have

T1 = 19

d = -3

So, we have

Tn = T1 + (n - 1)d

This gives

Tn = 19 + (n - 1) * -3

Evaluate

Tn = 19 + 3 - 3n

Evaluate the sum

Tn = 22 - 3n

Hence, the explicit formula for the sequence is Tn = 22 - 3n

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