Find the value of the expression log27√3

Answers

Answer 1

Answer: $\log _( 27 ){ \left( \sqrt { 3 } \right) } \n \n =\frac { \log _( 3 ){ \left( \sqrt { 3 } \right) } }{ \log _( 3 ){ \left( 27 \right) } }$

$\n \n =\frac { \log _( 3 ){ \left( { 3 }^{ \frac { 1 }{ 2 } } \right) } }{ 3 } \n \n =\frac { \frac { 1 }{ 2 } \log _( 3 ){ 3 } }{ 3 } \n \n =\frac { \frac { 1 }{ 2 } }{ 3 }$

$\n \n =\frac { 1 }{ 2 } \cdot \frac { 1 }{ 3 } \n \n =\frac { 1 }{ 6 }$

Answer 2

Answer: $\log_(27)\sqrt3=(\log_3\sqrt3)/(\log_327)=((1)/(2))/(3)=(1)/(6)$

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The probability distribution shows the probability of the number of prior car accidents for 100 individuals that have put in a claim with an insurance company following an accident.What is the probability that an individual among these 100 represented had less than 3 prior car accidents?Enter your answer, as a decimal, in the box.

What decimal is written in words “five and four hundred sixty-seven ten thousandths”? a. 5.467

b. 5.0467

c. 5,647,000

d. 0.5467

Answers

Answer:

five and four hundred sixty-seven ten thousandths

b. 5.0467

0 tenths

0 hundreds

0 thousands

0 ten thousands

~batmans wife dun dun dun....

If the radius of a circle is cut in half, what is the scale factor needed to adjust the area of the original circle to the smaller circle?

Answers

When the radius is halved, your area will be divided by 4. If you think about it, radius is already half of the diameter so your area is already divided by 2, so if you cut the radius is half again, your area will be divided by 4.

Final answer:

When the radius of a circle is cut in half, the area of the circle is reduced to one-fourth (0.25) of the original. Thus, the scale factor needed to adjust the original area to the smaller one is 0.25 or 1/4.

Explanation:

The question pertains to the relationship between the radius and area of a circle. The area of a circle is given by the formula A = πr², where r is the radius. If the radius of the circle is cut in half, the new radius becomes r/2. Substituting this into the formula for the area, we get A = π(r/2)² = πr²/4.

In other words, the area of the smaller circle is one-fourth (/4), or 0.25, that of the original circle. Therefore, the scale factor needed to adjust the area of the original circle to the smaller circle is 0.25 or 1/4.

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The walls of a square storage room in a warehouse are 300 feet long. What is the distance from one corner to the other corner of the storage room? Round your answer to the nearest foot.

Answers

Answer:

Distance from a corner to the other corner of the storage room is 424 foot

Step-by-step explanation:

Given: Storage room is a cube.

Length of Edge = 300 feet

To find: Length of Diagonal of the wall.

Storage room is A Cube.

⇒ Walls are of Squares shape.

Angle at vertex of Square is 90°

⇒ Traingle made by diagonal and 2 side at time is right angled triangle.

By, Pythagoras theorem

Diagonal² = Side² + Side²

Diagonal² = 2 × Side²

Diagonal = $√(2* Side^2)$

Diagonal = $√(2)* Side$

So, using this formula, we get

Diagonal = $√(2)*300\:\:feet$ ≈ 424 foot

Therefore, Distance from a corner to the other corner of the storage room is 424 foot

A share of stock in the Lofty Cheese Company is quoted at 25 1/4. Suppose you hold 30 shares of that stock, which you bought at 20 1/4. If you sell your stock at 25 1/4, which one of the following statements would be true? A: you'll suffer a loss of $15
B: you'll make a profit of $15
C: you'll make a profit of $150
D: you'll suffer a lose if $150

Answers

Since each share was purchased when it was still quoted at 20 1/4, then when the stock value increases, it gains (25 1/4 - 20 1/4) = $5.00 for each stock.Since you're to sell 30 shares of your stock, that means you'll be making a profit of (30 x 5 ) = $150.00.Thus, the answer is C.

The true statement is that you'll make a profit of $150 which is option C.

Given that,

A share of stock in the Lofty Cheese Company is quoted at 25 1/4.

Suppose you hold 30 shares of that stock, which you bought at 20 1/4.

If you sell your stock at 25 1/4, we have to know if they suffer profit or loss and by what amount.

Cost of the stock which you bought is,

Cost = 30 × 20 1/4

= 30 × 20.25

= 607.5

If you sell your stock at 25 1/4,

Selling price = 30 × 25 1/4

= 30 × 25.25

= 757.5

Difference = 757.5 - 607.5

= 150

Hence you have a profit of $150.

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There are 70 students in a school band. 40%are sixth graders,20% are seventh graders and the rest are eighth graders.How many sixth graders are there.

Answers

Answer:the number of sixth graders is 28

Step-by-step explanation:

Total number of students in the school band is 70. 40% are sixth graders. 20% are seventh graders and the rest are eighth graders. This means that the percentage of eighth graders is 100 - (40+20) = 100 - 60 = 40%

This means that the number of sixth graders would be 40% of the total number of students in the school band. It becomes

40/100 × 70 = 0.4×70 = 28

Which of the following scenarios has a lower y-intercept than y = 4x + 5 ?(a.) A 50 gallon tub is draining. Every 2 minutes, the amount of water decreases by 2 gallons.

(b.) Reginaldo had $17 in his account and for every book he buys, it costs him $4.

(c.) Sydney has collected 8 postcards. Each time a friend comes to visit, Sydney gives her a postcard.

(d.) Owen has 3 pets. He receives a new pet each time he has a birthday.

Answers

Comment
The key to this question is "What do you start with?" All of them (except D) start with something and then a condition reduces the starting point.
A
The condition (at zero) starts with 50 gallons. Every 2 minutes the amount taken away is 2 gallons.
The equation looks like this
y = -2x + 50
So what do you start with? You started with 50 gallons. That's your y intercept. It's big. A is NOT the answer.

B
Renaldo starts with 17 dollars. He hasn't done anything, and he still has 17 dollars. If he buys a book, he has 4 dollars less. So his equation is
y = -4x + 17. The y intercept is 17 if he has bought no books. The answer is NOT B

C
Sydney starts with 8 postcards. Every time a friend comes, Sydney has 1 less post card. Her equation is
y = 8 - x That's not the answer either.

D
What do you start with? 3 pets, correct? Every birthday Owen get's one more. But the starting point is three. So his equation is
y= 3 + x where x is the number of birthdays.
D has the lowest starting point.

D <<<< Answer

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