All categories

2 years ago

It is given that 2^x = 5^y = 10^z , express z in terms of x and y

Mathematics

2 answers:

weqwewe [10]2 years ago

4 0

9514 1404 393

Answer:

z = (xy)/(x+y)

Step-by-step explanation:

Taking logarithms base 10, we have ...

x·log(2) = y·log(5) = z·log(10)

z = x·log(2) = y·log(5) . . . . . . . . log(10) = 1

Then z/x = log(2), and z/y = log(5), so ...

z/x +z/y = log(2) +log(5) = log(2·5) = 1

z = 1/(1/x +1/y) = 1/((x+y)/(xy))

z = (xy)/(x+y)

aksik [14]2 years ago

4 0

Answer:

Step-by-step explanation:

You might be interested in

In triangle A B D , the measure of angle A is 10 degree less than the measure of angle B . The measure of angle D is 20 degree m

elixir [45]

Answer:

Measure of angle A is 27 7/9 degrees.

Step-by-step explanation:

Lets call measure of angle A is X-10

Lets call measure of angle B is X

Lets call measure of angle D is 2.5X+20

We know that the sum of triangles add up to 180 degrees

X+X-10+2.5X+20=180

X=37 7/9

So measure of angle A is 27 7/9 degrees.

I hope this is right. :)

8 0

3 years ago

The heights in cm of some pupils are

tatuchka [14]

The median is a halfway point in the set of data.

List the numbers in order from smallest to largest:

111, 129, 144, 149, 152, 162, 166, 171

Because there are an even number of values in the data set, find the two middle numbers, add them together and then divide by 2:

Median = ( 149 + 152 ) /2

Median = 150.5

4 0

3 years ago

At a baseball game, 3 drinks and 4 hotdogs cost $15.00. At the same game, 3 drinks and 1 hotdog cost $10.50. Find the cost for a

Serhud [2]

Answer:

Step-by-step explanation:

Given data

Let the cost of drinks be x

and the cost of hotdogs be y

3x+4y=15-------1

also

3x+y= 10.5------2

solve 1 and 2

3x+4y=15

-3x+y= 10.5

3y= 4.5

divide both sides by 3

y= 4.5/3

y= $1.5

Put y= 1.5 in 1

3x+4(1.5)=15

3x+6= 15

3x=15-6

3x= 9

x= 9/3

x= $3

Hence the cost of a drink is $3

8 0

3 years ago

Randy currently has a batting average of .388. What two fractions is this decimal between?

masya89 [10]

The answer is

$\frac{3}{8}$ and $\frac{5}{12}$

8 0

3 years ago

Read 2 more answers

A deck of cards has all 12 face cards removed. If a card is drawn at random, what are the odds against drawing a card that is a

kap26 [50]

Answer:

the answer is A 3 to 2

Step-by-step explanation:

but if it's wrong I'm sorry but if it's right I'm happy for you

4 0

3 years ago

Read 2 more answers

It is given that 2^x = 5^y = 10^z , express z in terms of x and y​

It is given that 2^x = 5^y = 10^z , express z in terms of x and y