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3 years ago

Which expressions are equivalent to log(3)3+log(3)27? A. Log10 B. 4 C. Log(3)81 D. Log3(3^4)

Mathematics

1 answer:

LekaFEV [45]3 years ago

6 0

$\log_33+\log_327=1+\log_33^3=1+3=4\\\\Answer:\fbox{B.}\\\\Used:\\\log_aa=1\\\log_ab^c=c\log_ab\\\log_ab=c\iff a^c=b$

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I really need help anyone please

icang [17]

(15x^3y^-8)÷(5x^2y^-4)
= 3xy^-4

(3x)/ y^4

4 0

3 years ago

In the diagram, BC¯¯¯¯¯∥DE¯¯¯¯¯ . What is AE ?

emmainna [20.7K]

So there are two triangles here: Smaller one (ADE) and bigger one (ABC) and they both are similar.

So you can use proportions here.

AB / AC = AD / AE

AB = AD + DB = 6 + 1 = 7
AC = AE + 3

AD = 6

So plug in these values:

AB / AC = AD / AE becomes
7 / (AE + 3) = 6 / AE

Now do the cross multiply:

7 AE = 6 (AE + 3)

Now solve for AE:

7AE = 6AE + 18

AE = 18

6 0

3 years ago

What is the volume of this equation?

Pachacha [2.7K]

Answer:

Volume ≈ 33.33 cubic feet

Step-by-step explanation:

The question is:

Find the volume of a right square pyramid with base square edges measuring 5 feet each and a height of the pyramid be 4 feet.

So, the base is a square with side length 5 feet.

And the height of the pyramid is 4 feet.

The volume of a pyramid is given by the formula:

$V=\frac{a^2 h}{3}$

Where

a is the square base side length (given as 5)

h is the height of the pyramid (given as 4)

Now we substitute and find the value:

$V=\frac{a^2 h}{3}\\V=\frac{(5)^2 (4)}{3}\\V=33.33$

The volume is around 33.33 cubic feet

5 0

3 years ago

A cyclist cycles a distance of 20 miles in a time of 2 hours. What is her average speed?

Mamont248 [21]

20 miles/2 hours = 10 miles/1 hour, therefore her average speed is 10mph

3 0

3 years ago

Read 2 more answers

Axis of symmetry y=x^2-4x+1

Andrei [34K]

Answer:

So for a quadratic function, the axis of symmetry is the line that divides the curved line in the middle, which is the h value, it can be found by using the formula -b/2a, so for here it would be 4/2(1) = 2, so x =2

Hope that answers your question

Step-by-step explanation:

6 0

2 years ago