How i do this -> Log 5x10^-3/2x10?

Answers

Answer 1

Answer: $log(5\cdot10^(-3))/(2\cdot10)}=log\left((5)/(2)\cdot(10^(-3))/(10)\right)=log(2.5\cdot10^(-3-1)})=log(2.5\cdot10^(-4))=(*)\n\nuse\ log(a\cdot b)=loga+logb\ and\ loga^b=b\cdot loga\n\n(*)=log2.5+log10^(-4)=log2.5-4log10=log2.5-4\n\vdots\nlog2.5=log(25)/(10)=log25-log10=log25-1=log5^2-1=2log5-1\n\ntherefore\n\n(*)=2log5-1-4=2log5-5$

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What is greater 500 in or 40 ft

Answers

What is greater? 500in or 40 ft

First let's set up a proportion:

1 foot = 12 inches

Ok, now that we setup our proportion lets figure out which one is greater
(please note that y is a variable):

five hundred inches:

y feet= 500/12
y feet = 41.6

Therefore 41.6 feet = 500 inches, and 41.6ft is greater than 40 ft
So 500 inches is greater

Find the sine, cosine and tangent for 15 degrees

Answers

sin(15) = 0.258819045103
cos(15) = 0.965925826289
tan(15) = 0.267949192431
all you do is get a graphing calculator input sin(15), then cos(15), and tan(15), make sure the calculator is in degrees not radians hit enter or what ever the answer button is and it should tell you your answer

Of all Sunny Club members in a particular city, 25% prefer swimming on weekends and 75% prefer swimming on weekdays. It is found that 10% of the members in that city prefer swimming on weekends and are female, while 55% of the members in that city prefer swimming on weekdays and are female. The probablity that a club member picked randomly is female, given that the person prefers swimming on weekends is ?

Answers

Given:
Sunny Club Members
Weekends = 25% Out of the 25%, 10% are females
Weekdays = 75% Out of the 75%, 55% are females

The probability that the person randomly picked swimming on weekends is female is:

25% * 10% = 2.5%

Answer:

0.4

Step-by-step explanation:

0.10/0.25 =0.4

Weekend swimmers = 25%

Female Swimmers that prefer the weekend = 10%

The sum of a number y and four is 13

Answers

Answer:

y=9

Step-by-step explanation:

$y + 4 = 13 \n y = 13 - 4 \n y = 9$

What is the area of a parallelogram when the height is 10 and the base is 15

Answers

Answer:

150

Step-by-step explanation:

it is just like finding the area of a rectangle! 10*15=150

Answer:

150

Step-by-step explanation:

A=bh

A=15×10

A=150

One number is 1 more than 4 times another. Their product is 18. What are the numbers?

Answers

The numbers are 9 and 2.

One number is 1 more than 4 times another.
2 x 4 = 8
8 + 1 = 9

Their product is 18.
9 x 2 = 18

Usually, with this type of problem, it's easiest just to use trial and error. Go through the factors of 18, and eventually you'll find a pair that fits the given criteria.

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