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

Use the Pythagorean Theorem to find the missing side.
Round to the nearest tenth
10 m
7.5 m

Answers

The fourth one 12.5!

It's self-explanatory, hope this helps!

Brainiest for the right answers...

Answers

Answer:

9. B 10. C 11. B 12. B

Step-by-step explanation:

Question 2 answers (just put this in to hit character limit ;-;)
21


6


9


15

Answers

Answer: I think it is 21  just helping out people sorry if wrong.

Step-by-step explanation:


Please help I will put Brainliest!!!!

Answers

Answer:

Ill tell you the bases and exponents, 2 is the base and 2 is the exponent. 3 is your base and 2 is your exponent. 5 is your base and 3 is your exponent. 10 is your base and 3 is your exponent. 4 is your base and 2 is your exponent. 5 is your base and 2 is your exponent. 6 is your base and 2 is your exponent.

2^2
base: 2
exponent: 2
expanded notation: 2*2
standard notation: 4

3^2
base: 3
exponent: 2
expanded notation: 3*3
standard notation: 9

5^3
base: 5
exponent: 3
expanded notation: 5*5*5
standard notation: 125

10^3
base: 10
exponent: 3
expanded notation: 10*10*10
standard notation: 1000

4^2
base: 4
exponent: 2
expanded notation: 4*4
standard notation: 16

5^2
base: 5
exponent: 2
expanded notation: 5*5
standard notation: 25

6^2
base: 6
exponent: 2
expanded notation: 6*6
standard notation: 36

please answer :) will give brainlst

Answers

Answer:

Your answer would be B. A metal railing rusting in damp weather because anything that contains any sort of rust whats so ever is always considered a chemical change.

wright 2/5:1/20 as a unit rate

Answers

Answer:

2 miles per hour

Step-by-step explanation:

PLEASE HELP —>50 POINTS

What are the linear factors of 2x^4 +13x^3+27x^2+13x-15 if the remainder upon division with x^2 +4x +5 is zero?

Answers

Step by step solution :

STEP

1

:

Equation at the end of step 1

 ((((2•(x4))-(13•(x3)))+33x2)-13x)-15  = 0  

STEP  

2

:

Equation at the end of step

2

:

 ((((2•(x4))-13x3)+33x2)-13x)-15  = 0  

STEP  

3

:

Equation at the end of step

3

:

 (((2x4 -  13x3) +  33x2) -  13x) -  15  = 0  

STEP

4

:

Polynomial Roots Calculator :

4.1    Find roots (zeroes) of :       F(x) = 2x4-13x3+27x2-13x-15

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

The linear factors of the given polynomial are (2x+3)(x+1)(x+2+i)(x+2-i)

What is linear factor?

The linear factors of polynomials are the first-degree equations that act as the building block for the simple or complex higher-order polynomials.

Given that, a polynomial 2x⁴+13³+27x²+13x-15, the remainder upon division with x²+4x +5 is zero,

That means, x²+4x +5 is a factor of the given polynomial,

On diving 2x⁴+13³+27x²+13x-15 by x²+4x +5 we get 2x²+5x+3 as quotient that means,  x²+4x +5 and 2x²+5x+3 are the factors of the polynomial,

On factorizing both the factors we get,

(2x+3)(x+1)(x+2+i)(x+2-i)

Hence, the linear factors of the given polynomial are (2x+3)(x+1)(x+2+i)(x+2-i)

For more references on linear factors, click;

https://brainly.com/question/2510777

#SPJ2

what is 20:10 in its simplest

form

Answers

Answer:

2/1

Step-by-step explanation:

20/10 devided by 10 to both numbers

A number
consisting of
two digits whose sum is 9.
If three times the number is
equal to eight times the
number formed by interchanging
the digits, find the number.​

Answers

Answer:

let the unit digit be x

and the tens digit be y

so x+y = 9 ---> y = 9-x

the number is 10y+x

the number reversed is 10x + y

3(10y+x) = 8(10x + y)

30y + 3x = 80x + 8y

22y = 77x

2y = 7x

2(9-x) = 7x

18 - 2x = 7x

18=9x

x=2

y=7

the number is 72

check:

number is 72

reverse is 27

is 3(72) = 8(27)

A juice company currently sells juice in gallon-size containers but wants to diversify to provide quart-size containers. If the company produces the number of gallons of juice every quarter given in the table, how many quarts will be produced in the first quarter?

The company will produce quarts of juice in first quarter.

Answers

Answer:

Depends on how many gallojs but 4 quarts per gallon

Step-by-step explanation:

Answer:

it is 24

Step-by-step explanation:

I just know it cuz I did it. hope it helps u :)

13. Given f(x) = X – 3 and g(x) = 4x, find f(g(x)).
A. 4x - 3
B. 4x - 12
C. 5x - 3
D. 3x - 3

Answers

Step-by-step explanation:

f(g(x))

= f(4x)

= (4x) - 3. (A)

Step-by-step explanation:

option A is the correct answer according to my opinion .

plz mark my answer as brainlist if you find it useful.

The triangle below lie on the same line. Find the horizontal distance of the smaller triangle.

Answers

Answer: The answer is 2

Step-by-step explanation: I had the same question and I got the answer right

Mona needs to photocopy a 14.5 centimeters wide by 15 centimeters long picture. She wants to enlarge the picture so that its length will be
37.5 centimeters. How wide will the enlarged picture be?
O a
38.8 cm
Ob
37 cm
ос
93.75 cm
Od
36.25 cm

Answers

Answer:

The enlarged picture will have a width of 35.8 cm

Step-by-step explanation:

We can solve this question by proportions, using rule of three.

When the length is of 15 centimeters, the width will be of 14.5 centimeters. What is the width when the length is 37 centimeters?

15 cm - 14.5 cm

37 cm - x

Applying cross multiplication

[tex]15x = 14.5*37[/tex]

[tex]x = \frac{14.5*37}{15}[/tex]

[tex]x = 35.8[/tex]

The enlarged picture will have a width of 35.8 cm

Answer:

36.25 cm

Step-by-step explanation:

37.5 divided by 15 is 2.5 then multiply 14.5 by 2.5 and your answer will be 36.25 cm.

I hope this helps the last answer you got was close but incorrect. I really hope I get brainlyiest. :)


I need help with this If right

Answers

Answer:

14° I think sorry if its wrong this was quick one

Answer:

[tex]10^0[/tex]

Step-by-step explanation:

the sum of all angles should add to a straight line, a straight line has an angle of 180 so add 92 and 78 subtracting the total from 180

[tex]92+78=170\\180-170=10\\answer =10^0[/tex]

I need help with this

Answers

Answer:

what is your cam qlty

Step-by-step explanation:

Answer:

22ft^2

132 ft^3

Step-by-step explanation:

Please hurry; Rajiv bought a rare stamp for $125. A function that models the value of Rajiv’s after t years is v(t) = 125 (1.05)t . What is the value of Rajiv’s stamp after 20 years?

a $131.25
b $331.66
c $2,625.00
d $3316.62

Answers

Answer:

C.

Step-by-step explanation:

The answer is C !!! :)

On the first day of a social media ad campaign, a website had 15 unique visitors. Over the following several days, the website received two times the number of unique visitors as the previous day.

Which equation can be used to determine the number of unique visitors, v, that the website would have on day d of the ad campaign?
Please only reply if you know the answer not just to get points I really need help
A) v= 15x2^d
B) v=2x15^d
C) v=2x15^(d-1)
D) v=15x2^(d-1)

Answers

Answer:

the correct answer is d :)

Step-by-step explanation:

Sonia saves
3
11 of her monthly income for retirement. If Sonia earned ​$2200 last​ month, how much did she save for​ retirement?

Answers

Answer:

Sonia saved 1889 from her last month's pay

Step-by-step explanation:

Sonia saved $594 for retirement

Find the output, g, when the input, r, is 4.

g=25−3r

plzzzzzz help me i need to finish

Answers

Answer: g = 13 / Thats the output

Step-by-step explanation:

g = 25 - 3r

Its telling you the r is 4 since its the input.

g = 25 - 3 ( 4 )   see!! just plug in the number

Now Solve

g = 25 - 12

g = 13

Answer:

g = 13

Step-by-step explanation:

since r = 4, you make the equation :

g=25-3(4)

first you multiply 3 and 4 and you get 12

g=25-12

and 25 - 12 is 13 which equals :

g = 13

5/6x+2/3x+4=7

What is x and I REALLY REALLY NEED AN EXPLANATION

Answers

5/6x + 2/3x + 4 = 7

5/6x + 2/3x = 9/6x

9/6x + 4 = 7

9/6x + 4 - 4 = 7 - 4

9/6x = 3

9/6 in decimal form is 1.5 thus

1.5x / 1.5 = 3/1.5

x = 2

Explain answer !!

( WILL GIVE BRAINLEST)

Answers

After four weeks, they both have the same amount of money. Larissa’s amount of money is constantly decreasing and Chuco’s is constantly increasing. At the four week mark on the graph, their two line intersect, representing that at that point they had the same amount of money.

Answer:

Step-by-step explanation:

Larissa: y = 250 - 25x

Chucho: y = 30 +30x

4 weeks

Surface Area of 20,70,90 Will give brainliest to correct answer

Answers

Answer:

19,000 cm

Step-by-step explanation:

Hope this helps

Answer:

19000 square units

Step-by-step explanation:

It is assumed the rectangular prism with dimensions of 20, 70 and 90

Surface are is calculated by the formula:

SA = 2(lw + lh + wh)

Substitute values and find the value:

SA = 2(20*70 + 20*90 + 70*90) = 19000 square units

Is this expression equivalent to 1.5?

1.5 / 10

(1.5 divided by 100)

Answers

Answer:

Very False

Step-by-step explanation:

1.5 divided by 100 I can tell you is not equivalent to 1.5

7)
2 1
Please help giving Brainly

Answers

Answer:

You should use MathPapa.

Step-by-step explanation:

5x + 3x = 5x + 6 What value of 3x makes the equation true?

Answers

Answer:

-45 (9x-20) - 3x = 45x-6

-405x+900-3x = 45x-6

-408x+900 = 45x-6 (combine like terms)

906=453x (add 6 to 900 and - 408x to 45x)

2=x (divided )

X=2

Step-by-step explanation: I  hope this helps.

the ratio of doors to windows is 1:5 . There are 186 doors and windows in a building . HOw many doors and windows are there?

Answers

Answer:

a. Doors = 31 doors

b. Windows =155 windows

Step-by-step explanation:

Given the following data;

Ratio D:W = 1:5 = 1 + 5 = 6

Total number of doors and windows = 186

Ratio of doors to windows = 1/6

Ratio of windows to doors = 5/6

To find the ratio of the doors;

Doors = 1/6 * 186

Doors = 186/6

Doors =31 doors

To find the ratio of windows;

Windows = 5/6 * 186

Windows = 930/6

Windows =155 windows

HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Find the quotient.
5/6 divided by 6.5
Please let the answer be a fraction

Answers

5/6 divided by 6.5
Convert decimal into fraction

5/6 divided by 13/2
Multiply by reciprocal

5/6 times 2/13
Reduce the numbers using Greatest Common factor which is 2

5/3 times 1/13
Multiply the fractions

5/39
Final answer

Answer:

5/39

Step-by-step explanation:

Agreed with the other guy, (5/6) / (13/2) = 5/39, or 0.12820513...

Intercepts from a graph
Determine the intercepts of the line.
y-intercept:
x-intercept:
y
0.4+
0.2
-1.4-1.2
0,2
-0.8 -0.6 -0.4-0.2
-0.21
0.6+
-0.81
1.2

Answers

Answer:

Y-intercept: (0,-0.7)

X-intercept: (-1.2,0)

Explanation:

The Y-intercept is the spot where the line crosses the Y axis (the vertical axis). This always occurs where X=0. For this problem the Y value at this point is -0.7. So, for the coordinates (X,Y) X is 0 and Y is -0.7 so it is (0,-0.7)

The X-intercept is the spot where the line crosses the X axis (the horizontal axis). This always occurs where Y=0. For this problem the X value at this point is -1.2. So, for the coordinates (X,Y) X is -1.2 and Y is 0 so it is (0,-0.7)

?????????????????????

Answers

Answer:

0 and 4

Step-by-step explanation:

Find The square root of -25 that graphs on the positive Y axis , please help

Answers

Answer:

5 and 5 because the squre root of 5 is 25

5 and 5 I think dnenenenenenwn
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