Rewrite the expression as a single logarithm:
log 2 + log x - (log 3 + log y)

Answers

Answer 1

Answer:

Step-by-step explanation:

Here, we want to write as a single logarithm

Recall;

Log a + Log b = Log ab

Log a - Log b = Log (a/b)

so starting with the bracket, we have;

Log 2 + Log X - Log 3y

Furthermore, we have;

Log 2x - Log 3y

Finally, we have;

Log (2x/3y)


Related Questions

If r and s are positive real numbers, which expression is equivalent to
,2/3,1/2
2
ОА. 32
B. 1/3,12
OC. 23,112
OD. 23,12
O E U
1/35112

Answers

Answer:

The answer is E

I got it right

Step-by-step explanation:

What is the inverse of f(x)=3x^2

Answers

Answer:

f^-1 (x)=sqrt(x/3), -sqrt(x/3).

Step-by-step explanation:

f(x)=3x^2

y=3x^2

x=3y^2

y^2=x/3

y=sqrt(x/3), -sqrt(x/3).

Answer:

[tex]y=3x^2[/tex]

[tex]y=3x^2[/tex]

Step-by-step explanation:

There is no step-by-step explanation because it's a graph. Well, it's how I did it. Therefore, the graph in the picture that I'm about to post will be your answer.

Find he lateral and total surface area of each cone. Round to the nearest tenth

Answers

Answer:

a) Lateral surface area = 1225.2 m²

b) Total surface area = 1756.2 m²

Step-by-step explanation:

We are to find the Lateral and Total surface area of the cone in the diagram

Slant height = l = 30m

Diameter = 26 m

Radius = Diameter /2 = 26m/2 = 13m

a) The Lateral surface area of a cone when given the slant height is calculated as:

πr × l

= π × 13 × 30

= π × 13 × 43

= 1225.2211349 m²

Approximately = 1225.2 m²

b) The Total Surface area of the cone when given the slant height is calculated as:

πr( r + l)

= π × 13 × (13 + 30)

= π × 13 × 43

= 1756.1502934 m²

Approximately = 1756.2 m²


If 8 people share 44 balloons equally, how many balloons does each person get?

Answers

Each person gets 6 balloons each

Each person get 5 balloons

please help me for brainiest:(:(:(:(:(

Answers

Answer:

15. 1/3 (33%)

16. 1/6 (16.66%)

17. 1/2 (50%)

18. 1/2 (50%)

19. 1/1 (100%)

20. 0/1  (0%)

Step-by-step explanation:

A company is expanding its building area from 13,500 square feet to 16,470 square feet. What is the percentage increase of the area of the building space?

Answers

Answer:

.22 or 22% increase

Step-by-step explanation:

16470-13500=2970 this is the amount it is increasing

2970/13500=.22 the percent increase

The answer is A because the reverse of 6.75 is negative 6.75.

Answers

Answer:

The is A as you say lol i don't know

17cm
78°
21cm
60°

What would be the area ?

Answers

Answer:

can you write the whole question in that problem!

Simplify the square root of (x^2 -6x+ 9) if x<-3

Answers

Answer:

x^2 - 9

Step-by-step explanation:

The square root of the quadratic equation [tex](x^2 -6x+ 9)[/tex] if x<-3 would be equal to (x-3).

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given quadratic equation is

[tex](x^2 -6x+ 9)[/tex]

We have to find the square root of the quadratic equation

[tex]\sqrt{(x^2 -6x+ 9)} \\\\\sqrt{(x^2 -3x-3x+ 9)} \\\\\sqrt{x(x-3)-3 (x-3)} \\\\\sqrt{(x-3) (x-3)} \\\\\sqrt{(x-3)^2} \\\\(x-3)[/tex]

Thus, the square root of the quadratic equation [tex](x^2 -6x+ 9)[/tex] if x<-3 would be equal to (x-3).

Learn more about quadratic equations;

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Find the slope (m) and y-intercept (b) of 3x + y = -18

Answers

Slope intercept form: y=-3x-18

What is the perimeter of the rectangle?

Answers

Answer:

10 feet

Step-by-step explanation:

Perimeter of rectangle = 2l+2b

Area of the rectangle = l x b

Area of the rectangle = 4 square feet

possible factors of 4 = 2x2/4x1

So sides of the rectangle are 4 & 1 as 2&2 would make it a square

So perimeter= 2x4+2x1

= 8+2

= 10 feet

If AABC ~ ADEF, which pair of angles are always congruent?

Answers

Answer:

2nd answer choice

Step-by-step explanation:

they are congruent aka equal or in the same spot

This is the question I need help with :) THANK YOU!! <33

Answers

Answer:1000

Step-by-step explanation:

The list shows the heights of some stickers in inches. The data will be put in a line plot

Answers

Answer:

The data should be from 1 to 2 with tick marks every 10th

Step-by-step explanation:

Please help me on this problem

Answers

Answer:

No.

Step-by-step explanation: I might be wrong but I say no.

whats 8 over x-2 =24 over 7 in solving proportions NO LINKS

Answers

Answer:

[tex]x=\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{8}{x-2} =\frac{24}{7}[/tex]

[tex]x=\frac{1}{3}[/tex]

Help I need the answer dont send NO FILE only answer if you know it step by step explanation

Answers

i believe the answer would be (-3,4)

Helpppppp can’t find the right answer pls help

Answers

Answer:

$500

Step-by-step explanation:

What is this? 10 points !

Answers

Answer:

x= 114

Step-by-step explanation:

correspnding angles are equal.

I hope im right! :)

answer: 114
the corresponding angles are equal.

Consider the probability statements regarding events A and B shown below P(A or B) = 0.96 P(A and B) = 0.16 P( A | B ) = 0.32 Determine P(A) and P(B).

Answers

Answer:

P(A) = 0.62

P(B) = 0.5

Step-by-step explanation:

Given the following

P(A or B) = 0.96

P(A and B) = 0.16

P( A | B ) = 0.32

According to conditional probability

P( A | B ) = P(A and B) /P(B)

0.32 = 0.16/P(B)

P(B)= 0.16/0.32

P(B)= 0.5

P(A or B)  = p(A) + p(B) – p(A and B)

Substitute the given values

0.96 = P(A)+ 0.5 - 0.16

P(A) = 0.96 - 0.5 + 0.16

P(A) = 0.62

The value of [tex]P(A)\\[/tex] is [tex]0.62[/tex]  and the value of [tex]P(B)[/tex] is   [tex]0.5[/tex]     .

The possibility of a random event to occur is called probability. It lies between the range of [tex]1[/tex] and [tex]0[/tex].

Given data:

[tex]P(A or B) = 0.96[/tex]

[tex]P(A and B) = 0.16[/tex]

[tex]P( A | B ) = 0.32[/tex]

According to the conditional probability definition,

The occurrence of an event or event that occurs as a result of previous events or events is called conditional probability.

[tex]P( A | B ) = \dfrac{P(A and B)} {P(B)}[/tex]

[tex]0.32 = \dfrac{0.16}{P(B)}[/tex]

[tex]P(B)= \dfrac{0.16}{0.32}[/tex]

[tex]P(B)= 0.5[/tex]

[tex]P(A or B) = p(A) + p(B) - p(A\ and \ B)[/tex]

Substitute the given values in the given relation,

[tex]0.96 = P(A)+ 0.5 - 0.16[/tex]

[tex]P(A) = 0.96 - 0.5 + 0.16[/tex]

[tex]P(A) = 0.62[/tex]

Thus, the value of [tex]P(A) = 0.62[/tex]  and the value of  [tex]P(B)[/tex] is   [tex]0.5[/tex].

Learn more about probability here:

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Spongebob Squarepants is watching King Kong climb the Voice of America

radio tower. Spongebob is 80 meters away from the tower. He looks up at

King Kong with an angle of elevation of 23º. Find King Kong's height to the

nearest tenth of a meter.

Answers

Answer:

127.1 m

Step-by-step explanation:

We are given the value of the adjacent side and we are to find the value of the opposite side

Tan would be used to determine this value

Tan 23 = opposite / adjacent

1.5882 = x / 80

x = 80 x 1.5882

x = 127.056 m

x = 127.1m

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Please find attached a diagram showing the angle of elevation

A school is having a big basket ball game this weekend against its rival school. They sold all their 150 available tickets and collected $939. Adult tickets were priced at $8 and student tickets were discounted to $5. How many of each type of ticket did they sell?​

Answers

Answer:

is this a multiple choice question?? it would be very hard to figure out without the answer choices

Step-by-step explanation:

Convert the following degrees into radians: 45°

Answers

Answer:

π/4

Step-by-step explanation:

45 * π/180 = π/4 radians.

Triangle Inequality Theorem: The sum of the lengths of any two sides of a triangle is greater than the length of the third side. Can these numbers be the length of the sides of a triangle? Show the math to prove your answer. Then circle YES or NO. 1) 8,9,10 2) 1, 1, 2 3) 6,9,8 yes or no yes or no yes or no​

Answers

Answer:

1) yes  2) no  3) yes

Step-by-step explanation:

The lengths of the two shorter sides must be greater than the length of the longest side.

1) 8 + 9 > 10    yes

2) 1 + 1 = 2      no

3)  6 + 8 > 9    yes

The lengths which can be side of triangle are:

8, 9, 106, 9, 8

Apply the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

1. 8, 9, 10:

The sum of the lengths of the two smaller sides is 8 + 9 = 17 > 10

Therefore, these numbers can be the lengths of the sides of a triangle.

2. 1, 1, 2:

The sum of the lengths of the two smaller sides is 1 + 1 = 2.

No, 2 is equal to the length of the longest side.

So these numbers cannot be the lengths of the sides of a triangle.

3. 6, 9, 8:

The sum of the lengths of the two smaller sides is 6 + 8 = 14 > 10

Therefore, these numbers can be the lengths of the sides of a triangle.

Learn more about Triangle Inequality here:

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24 – (-14) = ______
-9 · -5 = ______
31 + x = 15 x = ______
2 x + 5 = 15 x = ______

Answers

Step-by-step explanation: (Answers in bold )

24-(-14) using the keep change change rule you get 24 +14 = 38

-9*-5 =45 (negative times a negative = a positive )

31+x=15x subtract x from both sides

31=14x divide by 14

31/16 ---or---> 2.21

2x+5= 15x subtract 2x from both sides

5=13x divide by 13

5/13 or-------> 0.38

hope this helps (^_^)

A rectangle has a perimeter of 72 millimeters and a width of 8 millimeters. What is the length of this rectangle?

Answers

Answer:

28

Step-by-step explanation:

Since the perimeter is the width + width + length + length, we know that there 2 of the 8 millimeter width in the perimeter. So multiply 8 by 2, which is 16. So 16 of the 72 represents both widths. So subtract 16 from 72. You're left with 56, which represents 2 of the length. So divide 56 by 2, and you get one of the length, which is 28.

Answer:

28 ^^

Step-by-step explanation:

Good Luck!!!

Which is NOT a statistical question that might be used to gather data from a certain group?

a.) In what state were you born?
b.) How many pets do you have?
c.) What is the capital of the United States?
d.) Do you like strawberry yogurt?

Answers

A statistical question have varies of answers that cannot be yes or no.

D is not a statistical question because it uses yes or no, does not give varies of data

In a quadratic function, recall that the discriminant D = b2 - 4ac. For which function is it true that a < 0 and D = 0?

Answers

Answer:

If D = 0, then the quadratic equation has 1 solution x = − b/2a

Step-by-step explanation:

If we have a quadratic equation x² +3x-4= 0

Then the corresponding values of a= 1, b=3, c= -4

Finding the discriminant gives

D=  b2 - 4ac.

D= 3²- 4(1) (-4)

D= 9 + 16

D= 25  

Here a> 0

But if a< 0  e.g a= -1

D=  b2 - 4ac.

D= 3²- 4(-1) (-4)

D= 9 - 16

D= -7  

Here a < 0 so we get the answer -7  < 0

D=  b2 - 4ac.

D= 4²- 4(-1) (-4)

D= 16 - 16

D= 0  

Here a< 0 and b= - c so that D= 0

When D < 0 roots do not exist.

If D = 0, then the quadratic equation has 1 solution x = − b/2a

This can be found out by using the quadratic formula

x= -b±√b²- 4ac/ 2a

But D= 0

x= -b±0/ 2a

x= -b/2a

What is the explicit rule for the geometric sequence? 400, 200, 100, 50, ...

Answers

Answer:

Divide Number by 2

Step-by-step explanation:

To get to 200 from 400, you divide by 2

To get to 100 from 200, you divide by 2, and so on

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Divide by 2.

Step-by-step explanation:

400 ÷ 2

200

200 ÷ 2

100

100 ÷ 2

50

50 ÷ 2

25

Which is the best estimate of the percent?
48% of 59

Answers

Answer:

Es igual a 28,32

Step-by-step explanation:

Because this is yhe formula to subtract the porcent

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