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3 years ago

7 log(15/16)+6log(8/3)+5log(2/3)+log(32/25)by logarithm laws

Mathematics

1 answer:

hammer [34]3 years ago

4 0

Answer:

1.5871

Step-by-step explanation:

According to the Question,

we have, 7 log(15/16)+6log(8/3)+5log(2/3)+log(32/25)

The Solution, With Basic Properties of Log.

7*log15-7*log16+6*log8-6*log3+5*log2-5*log3+log32-log25

7*1.176-7*1.204+6*0.903-6*0.477+5*0.3010-5*0.477+1.505-1.3979

on Solving, We get

1.5871

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Marissa has a goal of shooting exactly 400 three–pointers during her basketball practice every week. She has already shot 105 of

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Answer: 5t = 400-105

Step-by-step explanation:

Let t= Number of three–pointers Marissa has to average over the next 5 days to reach her goal. .

Goal = 400 three–pointers every week.

Marissa has already shot = 105 three–pointers

Remaining shots to achieve target (5t) = Goal - (Marissa has already shot)

i.e. 5t = 400-105 (required equation)

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hence, she need to make 59 shots per day for next 5 days.

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3 years ago

What is the solution to 3^x = 5

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Step-by-step explanation:

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Dilate a triangle with vertices (0,0), (0,2) and (2,0) using the scale factor k=3. What is the value of the ratio (new to origin

seropon [69]

Answer:

Part a) The ratio of the perimeters is $3$

Part b) The ratio of the areas is $9$

Step-by-step explanation:

Part A) What is the value of the ratio (new to original) of the perimeters?

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of the new triangle

y-----> the perimeter of the original triangle

$z=\frac{x}{y}$

we have

$z=3$

substitute

$\frac{x}{y}=3$

Part B) What is the value of the ratio (new to original) of the areas?

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> the area of the new triangle

y-----> the area of the original triangle

$z^{2}=\frac{x}{y}$

we have

$z=3$

substitute

$\frac{x}{y}=3^{2}$

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3 years ago

A car travels 200 miles using 8 gallons of gasoline. What’s the unit rate in miles per gallon? Please write your work and don’t

IgorLugansk [536]

Answer:

25 gallons per one mile

Step-by-step explanation:

200 = 8x

Divide 8 from 200.

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3 years ago

Read 2 more answers

Jackson deposited $5000 at 3.8% interest compound continuously when he was 18 years old. How much will be in the account when he

weeeeeb [17]

Answer:

$11535.60

Step-by-step explanation:

We have been given that Jackson deposited $5000 at 3.8% interest compound continuously when he was 18 years old.

To find the amount that Jackson will earn when he is 40 years old, we will use compound interest formula.

$A=P\cdot e^{rT}$

A= Amount after T years.

P= Principal amount.

e= Mathematical constant e.

r= Interest rate (in decimal form).

T= Time in years.

Let us convert our given interest rate into decimal form.

$3.8\text{ percent}=\frac{3.8}{100}=0.038$

Upon substituting our given values in above formula we will get,

$A=5000\cdot e^{(0.038\times (40-18))}$

$A=5000\cdot e^{(0.038\times 22)}$

$A=5000\cdot e^{0.836}$

$A=5000\cdot 2.307120015126555$

$A=11535.600075632775\approx 11535.60$

Therefore, Jackson will have $11535.60 in his account when he is 40 years old.

4 0

3 years ago

7 log(15/16)+6log(8/3)+5log(2/3)+log(32/25)by logarithm laws​

7 log(15/16)+6log(8/3)+5log(2/3)+log(32/25)by logarithm laws