10. If log10x = 1 + a and log10y = 1 – a, show that xy = 100.
How?

Answers

Answer 1

Step-by-step explanation:

log x = 1 + a

a = log x - 1

log y = 1 - a

a = 1 - log y

So

log x - 1 = 1 - log y

log x + log y = 2

log (xy) = 2

xy = 100


Related Questions

Chilling and Dying.

Same nights every night.

The pandemic got to go no cap.

Answers

Answer:

yes

Step-by-step explanation:

yes

very poetic

Record' s calculated​

Answers

Wha....... is that.....::

Which is the net for the figure shown?

Answers

Answer:

The third one, with the sideways "z" shape.

Step-by-step explanation:

When folded, this net shape will become the new figure.

PLEASE HELP ME!!!! 20 POINTS!!!!!!!

What is the correct expanded form and value of 4/5?

A. 4/5+4/5+4/5=12/5

B.4/5•4/5•4/5=64/125

C. 4+4+4+4/5=12/5.

D. 5/4•5/4•5/4=125/64

Answers

I think it’s B hope this helps

2m+(m-15)=90 solve for m

Answers

Answer:

m = 35

Step-by-step explanation:

2m + m -15 = 90

3m -15 = 90

     +15  +15

3m = 105

/3     /3

m = 35

To check the work just insert 35 for m:

2(35) + 35 -15 = 90

70 + 35 -15 = 90

105 - 15 = 90

90 = 90

to find the quotient 3/4 divided 1/8 multiply what by what​

Answers

Answer:

Make 1/8 a reciprocal which would be 8/1 so 3/4 x 8/1 is 24/4 = 6


Find the constant of proportionality for the table of values,

The constant of proportionality is k=

Answers

The constant of proportionality is k=2.5 sorry if this is wrong

Answer:

2.5

Step-by-step explanation:

[tex]y/x\\15/6[/tex]

also known as 15 divided by 6 which equals 2.5 so

2.5 is the constant of proportionality

A store is selling scooter for $40. You have a coupon and person for $15. What percent was the coupon? 20 points!! ​

Answers

Answer:

$15 is 37.5% of $40.

Step-by-step explanation:

pls help!!!!!!!!!
What is one way a sitcom will get an audience to feel a particular emotion?
by using a laugh track

by using different characters

by using different theme songs

by using one-liners

Answers

Answer: One way is by putting on background music. Heroic music makes the audience feel exited.

Step-by-step explanation:

Answer:

a laughing track

Step-by-step explanation:

sitcoms are shows like friends, where when something is funny, it plays laughing in the background, essentially telling everyone to laugh becasue something funny just happened

Find the total surface area of this prism.

Answers

Answer:

63

Step-by-step explanation:

[tex]15m^{2}[/tex]

Hope this helps!! plz mark brainliest??

If Navya babysits 12 hours she earns $48. If she babysits 18 hours she earns $72. Let y represent the total amount of money that Navya earns working x number of hours.

WRITE A EQUATION TO MODEL THE DATA!! 40 POINTS!!

Answers

I think it’s 4 dollars bc 48%12 is 4 and it’s consistent. It doesn’t matter how many hours she works she will still get the same 4 dollars an hour.

Answer:

Step-by-step explanation:

y = 2x + 1
2x - y=3
Solve by substitution

Answers

Answer:

there is no solution

Step-by-step explanation:

y = 2x + 1

put into other equation

2x - 2x + 1 = 3

0x + 1 = 3

0x = 2

0/0x = 2/0

x = undefined

25!
Which expression represents
(25– 12)!12!?
25012
o 23C13
25P 12

Answers

Answer:

[tex]25C_{12}[/tex]

Step-by-step explanation:

We are given that an expression

[tex]\frac{25!}{(25-12)!12!}[/tex]

We have to find the expression which represents  [tex]\frac{25!}{(25-12)!12!}[/tex].

We know that

[tex]nP_r=\frac{n!}{(n-r)!}[/tex]

[tex]nC_r=\frac{n!}{(n-r)!r!}[/tex]

By using the formula

By comparing we get

n=25,r=12

[tex]\frac{25!}{(25-12)!12!}[/tex]

[tex]=25C_{12}[/tex]

Hence, option a is true.

[tex]25C_{12}[/tex]

Find the 10th term of the geometric sequence 3, 6, 12,

Answers

Step-by-step explanation:

to calculate common ratio

=second term divided by first term

What is the solution to the inequality x2 < 16 – 6x?

Answers

Answer:

−8  <  x  <  2 would be the answer if the equation was x^2

if the equation was x(2), the answer is x<2

Step-by-step explanation:

Answer:

x < –8 or x > 2.

Step-by-step explanation:

The solution to the inequality x^2 < 16 - 6x is x < -8 or 2 < x.

Please help:) I'll report you if you steal points :(

Answers

yeah y=9


hope this helped even tho I’m kinda late haha

Help I need the answer in 5 minutes!!

Answers

Answer:

the answer is B

Step-by-step explanation:

The answer is b your welcome

read the instructions first
then graph
Polya created his famous four-step process for problem solving, which is used all over to aid people in problem solving:
Step 1: Understand the problem.
Step 2: Devise a plan (translate).
Step 3: Carry out the plan (solve).
Step 4: Look back (check and interpret​

Answers

Answer:

Step-by-step explanation:

Step 1:

x - > number of Avocado

y -> number of melon

Step 2:

x ≤ 3y

x +  y ≥ 20

Step 3:

x + y≥ 20

     y ≥ -x + 20

Step 4:

( 1 , 20)

x ≤ 3y               ; y≥ -x + 20

1 ≤ 3*20          ;  20 ≥ -1 + 20

1 ≤ 60              ; 20 ≥ 19

Plz I need help this is due at 7:10

Answers

Answer:

8units²

Step-by-step explanation:

Area of the trapezoid = 1/2(a+b)h

a and b are the opposite sides

h is the height

Take a square as 1 unit

a = 1 unit

b = 3 units

height h = 4 units

Substitute

A = 1/2(1+3)*4

A = 1/2 * 4 * 4

A = 16/2

A = 8units²

Hence the area of the trapezoid is 8units²

2x+6y=21 and -2x+3y=24 using the elimination method and write as an ordered pair

Answers

Answer:

(-0.5,7.66)

Step-by-step explanation:

2x+6y=21

-2x+3y=24

so 3y=24+2x

reduce

y=(24+2x)/3

substitute for y

2x+6(24+2x/3)=21

2x+(72+12x)/3=21

2x+24+4x=21

6x=-3

x=-0.5

y=(24+-1)/3=7.66

The same digits are used for the expressions 3² and 2³. select the symbol that correctly compares the expressions​

Answers

> , because 3^2=9 and 2^3=8

The exponent expression 3² is greater than the exponent expression 2³.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The same digits are used for the expressions 3² and 2³. The value of the exponent expressions is given as,

3² = 9

2³ = 8

The exponent expression 3² is greater than the exponent expression 2³.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Make a table showing all the possible outcomes for spinning the pointer of a spinner with four equal-sized sections labeled 1–4 and another spinner with four equal-sized sections labeled A–D. Use this table to determine the probability that the two pointers will land on an odd number and the letter C. Give the probability as a percent, rounded to the nearest tenth of a percent.

P(odd number, C) =

%

Answers

Answer:

12.5%

Step-by-step explanation:

There are two types of spinners here and the outcome of them is independent. That means

P(odd number,C) = P(odd number) * P(C)

There are two odd numbers out of four numbers in the first spinner. The chance of odd number will be:

P(odd) = 2/(2+2)= 1/2= 50%

There are four letters and the desired outcome is C. The chance for C will be:

P(C)= 1/4= 25%

Then the chance will be:

P(odd number,C) = P(odd number) * P(C)

P(odd number,C) =50% * 25% = 12.5%

Could someone help me with this question?

Answers

Answer:

Step-by-step explanation:

The table shows the number of different types of movies in Lavar's
collection. He wants to buy a new movie to add to his collection. He
only wants to buy a movie if he already has more than 15 movies of
that type. Use the inequality m > 15, where m is the number of the
type of movie, to determine which type(s) he can buy.

Answers

Answer:

I would know if the table was included

Step-by-step explanation:

just insert the number of each type of movie into the place of M and see if it is greater than 15

Emily surveyed 300 of the students in her school about their favorite color. 93 students said their favorite color was purple. What percentage of the surveyed students said their favorite color was purple?

Answers

Answer:

31%

Step-by-step explanation:

93/300=0.31

0.31=31%

The percentage of the surveyed students said their favorite color was purple will be 31%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Total number of students = 300

And, There are 93 students said their favorite color was purple.

Now,

The percentage of the surveyed students said their favorite color was purple is find as;

Total number of students = 300

And, There are 93 students said their favorite color was purple.

So, Percent of the surveyed students said their favorite color was purple is;

Percent = 93 / 300  x 100

            = 31%

Thus, The percentage of the surveyed students said their favorite color was purple will be 31%.

Learn more about the percent visit:

https://brainly.com/question/843074

#SPJ6

15 = -5x + 10
X =
Pls help me solve x

Answers

you move the term calculate on both sides and you got -1

Step-by-step explanation:

[tex]15 = - 5x + 10 \\ - 5x = 15 - 10 \\ - 5x = 5 \\ x = \frac{5}{ - 5} \\ x = - 1 \\ thank \: you[/tex]

Simplify the following expression.

(4⁶)³
A. 4³
B. 4¹⁸
C. 4⁶³
D. 4⁹

Answers

Hello,

The answer is B

Hope this helped :)
The answer is B.
I really hope this helps.

3 7/8- 3/8 I really need help!

Answers

Answer:

[tex]3\frac{1}{2}[/tex]

Step-by-step explanation:

The answer is........


3 1/2

It would get you 3 4/8 then you simplify it to 3 1/2

Question 3: Add 9 to 5 times n to get 3 is reprented as​

Answers

Answer:

5n + 9 = 3

I hope im right!!

5n + 9 = 3

because it says add 9 , then you do 5xn which is 5n & you would get 3

a. Define a relation with four ordered pairs
such that the first element is a university
and the second element is its mascot.

Answers

ajdjdjdjjdjsj kajdjsjs
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