# How does one go about calculating a logarithm?

QUESTION POSTED AT 09/10/2019 - 11:05 PM

QUESTION POSTED AT 09/10/2019 - 11:05 PM

Well logarithm is basically the inverse of exponentiation.

If you want to know how to calculate it in a calculator first you enter the number that you want in there. Then you press the inverse button and then lastly you press the botton that looks like this 10^3

If you want to know how to calculate it in a calculator first you enter the number that you want in there. Then you press the inverse button and then lastly you press the botton that looks like this 10^3

A. total cost of all the purchases

You can't calculate the sales tax on the sheet music or the change for $50 he would have received (which requires subtracting the total cost from $50) until you know how much the sheet music cost total.

The B) and C) options aren't relevant to the problem. You're trying to find the amount of change he gets after paying the total cost for all the sheet music + the tax on that.

You can't calculate the sales tax on the sheet music or the change for $50 he would have received (which requires subtracting the total cost from $50) until you know how much the sheet music cost total.

The B) and C) options aren't relevant to the problem. You're trying to find the amount of change he gets after paying the total cost for all the sheet music + the tax on that.

ANSWERED AT 17/10/2019 - 09:13 AM

QUESTION POSTED AT 17/10/2019 - 09:13 AM

The answer to the problem is a

ANSWERED AT 17/10/2019 - 08:47 AM

QUESTION POSTED AT 17/10/2019 - 08:47 AM

The answer to your question is A.

ANSWERED AT 17/10/2019 - 08:41 AM

QUESTION POSTED AT 17/10/2019 - 08:41 AM

A. 4 painters each used 4 gallons of white so 4x4 equals 16 now the six gallons of white 6x4= 24 now add both 16 and 24

ANSWERED AT 17/10/2019 - 08:37 AM

QUESTION POSTED AT 17/10/2019 - 08:37 AM

Your answer would be B.

ANSWERED AT 17/10/2019 - 08:36 AM

QUESTION POSTED AT 17/10/2019 - 08:36 AM

5³ = 125

125 =5³

㏒₅125 = 5³

125 =5³

㏒₅125 = 5³

ANSWERED AT 17/10/2019 - 08:27 AM

QUESTION POSTED AT 17/10/2019 - 08:27 AM

**Answer:**

**The require function is ** represents the growth of a dragonfly in every months.

**Step-by-step explanation:**

**Given : **The function represents the growth of a dragonfly population every year in a remote swamp.

**To find : **The function represent the growth every month.

**Solution : **

Let x represents the number of years.

In 1 year there is 12 months

In x years there is 12x months

**The given function is in exponential form**

**where,** a is initial value, r is growth rate , (1+r) is growth rate factor

**Comparing** the given equation with general form

growth of dragonfly every year

**To convert into months **time is multiply with 12 and growth rate is divisible by 12.

**Therefore, The require function is ** represents the growth of a dragonfly in every months.

ANSWERED AT 17/10/2019 - 07:52 AM

QUESTION POSTED AT 17/10/2019 - 07:52 AM

It's C). ㏒(2xy⁻³) =㏒2 + ㏒x -3㏒y

ANSWERED AT 17/10/2019 - 07:37 AM

QUESTION POSTED AT 17/10/2019 - 07:37 AM

Desirable outcomes are 1,2 or 2,1

total outcomes are 6*6=36

so, P=2/36=1/18

total outcomes are 6*6=36

so, P=2/36=1/18

ANSWERED AT 17/10/2019 - 07:15 AM

QUESTION POSTED AT 17/10/2019 - 07:15 AM

Answer is A: gross pay is $240 and net pay is $207.83

ANSWERED AT 17/10/2019 - 07:12 AM

QUESTION POSTED AT 17/10/2019 - 07:12 AM

The first step is to find the CHANGE. This is done by subtracting the two values and taking the absolute value. Next step is to find the ratio of the change to the original and multiplying by 100% to make it a percentage.

So;

a) change = Ι60 - 25Ι = 35.

ratio of change to original = 35:25,

multiplying by 100% will give 35/25 × 100% = **140%.**

** **Hence it is a **140%** INCREASE.

b) change = | 30 - 66 | = 36

the ratio is 36:66

multiplying by 100% = 36/66 × 100% = 0.545454... ×100% ≈ **54.5%**

** ** Hence it is a **54.5% **DECREASE.

Helpful?

ANSWERED AT 17/10/2019 - 07:02 AM

QUESTION POSTED AT 17/10/2019 - 07:02 AM

Well from the equation $45.50 represents y (in this case) and now you're finding x.

y = 7x

45.50 = 7x Divide both sides of the equation by 7 to find x.

45.50/7 = 7x/7

**6.50** = x

**Hence **she worked 6.5 hours (or 6 hours 30 minutes.)

HELPFUL?

ANSWERED AT 17/10/2019 - 07:01 AM

QUESTION POSTED AT 17/10/2019 - 07:01 AM

5'7" is Stephen's height

4.8 billion is the distance to the sun.

4.8 billion ft / 5'7" = 859,701,493 ft

4.8 billion is the distance to the sun.

4.8 billion ft / 5'7" = 859,701,493 ft

ANSWERED AT 17/10/2019 - 05:38 AM

QUESTION POSTED AT 17/10/2019 - 05:38 AM

Hi there

The formula of the future value of annuity due because you invest now means you invest at the beginning of each month

Fv=pmt [(1+r/k)^(kn)-1)÷(r/k)]×(1+r/k)

The first option you invest 100 at the beginning of each month for 30 years (60-30) therefore

Fv=100×((((1+0.1÷12)^(12×30)

−1)÷(0.1÷12))×(1+0.1÷12))

=227,932.53...is higher

The second option you invest 200 at the beginning of each month for 20 years (60-40) therefore

Fv=200×((((1+0.1÷12)^(12×20)

−1)÷(0.1÷12))×(1+0.1÷12))

=153,139.38...is lower

So I would choose the first option which is invest 100 due to higher amount

Hope it helps

The formula of the future value of annuity due because you invest now means you invest at the beginning of each month

Fv=pmt [(1+r/k)^(kn)-1)÷(r/k)]×(1+r/k)

The first option you invest 100 at the beginning of each month for 30 years (60-30) therefore

Fv=100×((((1+0.1÷12)^(12×30)

−1)÷(0.1÷12))×(1+0.1÷12))

=227,932.53...is higher

The second option you invest 200 at the beginning of each month for 20 years (60-40) therefore

Fv=200×((((1+0.1÷12)^(12×20)

−1)÷(0.1÷12))×(1+0.1÷12))

=153,139.38...is lower

So I would choose the first option which is invest 100 due to higher amount

Hope it helps

ANSWERED AT 17/10/2019 - 05:11 AM

QUESTION POSTED AT 17/10/2019 - 05:11 AM

Hi there

The formula of the future value of annuity ordinary is

Fv=pmt [(1+r)^(n)-1)÷r]

Fv future value?

PMT payment per year 2000

R interest rate 0.085

N time 20 years

Fv=2,000×(((1+0.085)^(20)−1)

÷(0.085))=96,754.03

Hope it helps

The formula of the future value of annuity ordinary is

Fv=pmt [(1+r)^(n)-1)÷r]

Fv future value?

PMT payment per year 2000

R interest rate 0.085

N time 20 years

Fv=2,000×(((1+0.085)^(20)−1)

÷(0.085))=96,754.03

Hope it helps

ANSWERED AT 17/10/2019 - 05:10 AM

QUESTION POSTED AT 17/10/2019 - 05:10 AM

In order to fit 6 squash balls into a cylinder container, the radius r has to be the same for the ball and for the base of the cylinder, and the height h of the container must be equal to 6 diameters d or 12 radii of the ball. Volume of the ball and the container is:

Vb=(4/3)r³π, Vc=r²πh, h is the height of the cylindrical container.

h=12r.

So now the volume of the cylinder is:

Vc=r²π*12r=12r³π.

There are 6 balls so their total volume is:

6*Vb=6*(4/3)*r³*π=(24/3)*r³π=8r³π.

Now we subtract the volume of 6 balls from the volume of the cylinder to get the volume of air Va inside the cylinder:

Va=Vc-6*Vb=12r³π-8r³π=4r³π.

So the volume of air inside of the cylinder is Va=4r³π

Vb=(4/3)r³π, Vc=r²πh, h is the height of the cylindrical container.

h=12r.

So now the volume of the cylinder is:

Vc=r²π*12r=12r³π.

There are 6 balls so their total volume is:

6*Vb=6*(4/3)*r³*π=(24/3)*r³π=8r³π.

Now we subtract the volume of 6 balls from the volume of the cylinder to get the volume of air Va inside the cylinder:

Va=Vc-6*Vb=12r³π-8r³π=4r³π.

So the volume of air inside of the cylinder is Va=4r³π

ANSWERED AT 17/10/2019 - 05:02 AM

QUESTION POSTED AT 17/10/2019 - 05:02 AM

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ANSWERED AT 17/10/2019 - 04:57 AM

QUESTION POSTED AT 17/10/2019 - 04:57 AM

Log 22 =

ANSWERED AT 17/10/2019 - 04:53 AM

QUESTION POSTED AT 17/10/2019 - 04:53 AM

Hello,

We know that

3×10^5= 3 EE 5

Change 80,000 to the scientific notation

8×10^4

Doing the same like 3×10^5, I can get 8 EE 4

Change 5000 to the scientific notation

5×10^3

Then it will appeared as 5 EE 3. Hope it help!

We know that

3×10^5= 3 EE 5

Change 80,000 to the scientific notation

8×10^4

Doing the same like 3×10^5, I can get 8 EE 4

Change 5000 to the scientific notation

5×10^3

Then it will appeared as 5 EE 3. Hope it help!

ANSWERED AT 17/10/2019 - 04:52 AM

QUESTION POSTED AT 17/10/2019 - 04:52 AM

The first step is to put the data in order, as shown in the diagram below

Five summaries of Town A

Lowest Value = 10

Lower Quartile, = 16.5 (The value falls between 16 and 17)

Median, = 25

Upper Quartile, = 40 (The middle value between 38 and 42)

Highest value = 42

Five summaries of Town B

Lowest value = 0

Lower Quartile, = 4 (The middle value between 0 and 8)

Median, = 9

Upper Quartile, = 20 (The middle value between 19 and 21)

Highest Value = 30

The box plot for two towns is shown in the diagram below.

Town A box plot is not symmetrical, it's tailing on the left

Town B box plot is not symmetrical, it's tailing on the right

Five summaries of Town A

Lowest Value = 10

Lower Quartile, = 16.5 (The value falls between 16 and 17)

Median, = 25

Upper Quartile, = 40 (The middle value between 38 and 42)

Highest value = 42

Five summaries of Town B

Lowest value = 0

Lower Quartile, = 4 (The middle value between 0 and 8)

Median, = 9

Upper Quartile, = 20 (The middle value between 19 and 21)

Highest Value = 30

The box plot for two towns is shown in the diagram below.

Town A box plot is not symmetrical, it's tailing on the left

Town B box plot is not symmetrical, it's tailing on the right

ANSWERED AT 17/10/2019 - 04:52 AM

QUESTION POSTED AT 17/10/2019 - 04:52 AM

Find the rate of change, (y2-y1)/(x2-x1), from the data given...

(2.16-1.26)/(12-7)=0.18

(1.26-0.72)/(7-4)=0.18

Since the rate is constant, this is a linear equation of the form y=mx+b. Furthermore, since 0 pencils cost 0, b=0, so the cost of the pencils is simply the number of pencils times 18 cents...

c(p)=0.18p (cost with respect to pencils is 0.18 times the number of pencils)

(2.16-1.26)/(12-7)=0.18

(1.26-0.72)/(7-4)=0.18

Since the rate is constant, this is a linear equation of the form y=mx+b. Furthermore, since 0 pencils cost 0, b=0, so the cost of the pencils is simply the number of pencils times 18 cents...

c(p)=0.18p (cost with respect to pencils is 0.18 times the number of pencils)

ANSWERED AT 17/10/2019 - 04:49 AM

QUESTION POSTED AT 17/10/2019 - 04:49 AM

(11+16/60-9-40/60 hr)(30km/hr)=48km

ANSWERED AT 17/10/2019 - 04:41 AM

QUESTION POSTED AT 17/10/2019 - 04:41 AM

I just toke that test and the answer is B

ANSWERED AT 17/10/2019 - 04:27 AM

QUESTION POSTED AT 17/10/2019 - 04:27 AM

Volume=hpir^2

d/2=r, 24/2=12=r

h=40

v=40pi12²

v=40pi144

v=5760pi cubic inches per section

d/2=r, 24/2=12=r

h=40

v=40pi12²

v=40pi144

v=5760pi cubic inches per section

ANSWERED AT 17/10/2019 - 04:12 AM

QUESTION POSTED AT 17/10/2019 - 04:12 AM

The discriminant is a parameter of an object calculated as an aid to its solution. in a quadratic expression, discriminant is given by (b^2-4ac), when the discriminant is a negative number it implies that:

A. There are no real roots

A. There are no real roots

ANSWERED AT 17/10/2019 - 04:04 AM

QUESTION POSTED AT 17/10/2019 - 04:04 AM

That is

distance=rate times time

rate=320ft/m

time=3m

distance=320ft/m times 3m

distance=960ft

the total change is 960ft

distance=rate times time

rate=320ft/m

time=3m

distance=320ft/m times 3m

distance=960ft

the total change is 960ft

ANSWERED AT 17/10/2019 - 03:33 AM

QUESTION POSTED AT 17/10/2019 - 03:33 AM

Hi there

(1+0.09÷12)^(12)−1

=0.0938

Hope it helps

(1+0.09÷12)^(12)−1

=0.0938

Hope it helps

ANSWERED AT 17/10/2019 - 03:23 AM

QUESTION POSTED AT 17/10/2019 - 03:23 AM

So, the prism looks more or less like the picture below

now, notice the purple base, is a triangle with all sides of 9

now, notice the purple base, is a triangle with all sides of 9

ANSWERED AT 17/10/2019 - 03:21 AM

QUESTION POSTED AT 17/10/2019 - 03:21 AM

Hi there

Debt to income ratio is

((800+100+400+35)÷3,250)×100

=41%

Hope it helps

Debt to income ratio is

((800+100+400+35)÷3,250)×100

=41%

Hope it helps

ANSWERED AT 17/10/2019 - 03:20 AM

QUESTION POSTED AT 17/10/2019 - 03:20 AM

NY Time: 12:15pm (12:15)

London Time: 5:15pm (17:15)

London Time: 5:15pm (17:15)

ANSWERED AT 17/10/2019 - 02:46 AM

QUESTION POSTED AT 17/10/2019 - 02:46 AM