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3 years ago

Make x the subject of y=alog(5x)

Mathematics

1 answer:

Bond [772]3 years ago

4 0

Answer:

x = 0.2(10^y/a).

Step-by-step explanation:

y = alog(5x)

y = log(5x)^a) By the definition of a log:

(5x)^a = 10^y

5x = (10^y) ^ 1/a

x = 0.2(10^y/a)

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An electric company charges a certain rate per kilowatt-hour (\text{kWh})(kWh) of electricity used and an administrative fee of

zavuch27 [327]

Answer:

r represents the rate the electric company charges per kilowatt-hour.

Step-by-step explanation:

r represents the rate the electric company charges per kilowatt-hour.

Total charged to Zhao was 63.25 out of which 3.50 is administrative charge (fixed).

Total charge consists of "administrative charge" + "charge per kilowatt hours*hours used
The equation is given as 63.24 = 3.5 + 800r

Matching the "word equation" with "mathematical equation", we see that 800 is the hours used and r is the charge per kilowatt hour.

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3 years ago

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Alenkasestr [34]

It was 65 degrees by lunch time.

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3 years ago

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Prime factorization of 39

Black_prince [1.1K]

Lets quickly run through the prime numbers and see what it is not divisible by

39 is not divisible by 2
39 IS divisible by 3

So lets stop right here.

What is 39 divided by 3? 13 !

And 13 is a prime number too!

So that is all we can do.

So prime factorization of 39 is 3 x 13

4 0

3 years ago

What is the sum of 20x^2-10x-30

ivann1987 [24]

Answer:

The sum of the roots is 0.5

Step-by-step explanation:

The correct question is

What is the sum of the roots of 20x^2-10x-30

we know that

In a quadratic equation of the form

$ax^{2} +bx+c=0$

The sum of the roots is equal to

$-\frac{b} {a}$

in this problem we have

$20x^{2} -10x-30=0$

$a=20\\b=-10\\c=-30$

substitute

$-\frac{(-10)} {20}=0.5$

Verify

Find the roots of the quadratic equation

The formula to solve a quadratic equation is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

$a=20\\b=-10\\c=-30$

substitute

$x=\frac{-(-10)\pm\sqrt{-10^{2}-4(20)(-30)}} {2(20)}$

$x=\frac{10\pm\sqrt{2,500}} {40}$

$x=\frac{10\pm50} {40}$

$x=\frac{10+50} {40}=1.5$

$x=\frac{10-50} {40}=-1$

The roots are x=-1 and x=1.5

The sum of the roots are

$-1+1.5=0.5$ ----> is ok

5 0

3 years ago

A card is drawn from a standard deck of 52 cards. Find the probability of drawing red card or a face card

nata0808 [166]

Answer:

12/104 or around 11% chance

Step-by-step explanation:

This is because there is a total of 26 red cards (1/2) and a total of 12 face cards (12/52). So, you multiply 1/2 x 12/52 and get 12/104 or around 11% chance

8 0

3 years ago