All categories

2 years ago

Simplify: 3log3(-5) = A. -5 B. 3 C. 9 D. undefined

Mathematics

1 answer:

Usimov [2.4K]2 years ago

4 0

Answer:

D. Undefined

Step-by-step explanation:

Since there is nothing that we can raise 3 to in order to get -5, we know that this is undefined. This is true of all logs with a negative number in front.

You might be interested in

Solve:<br> n/2 - 10=6<br> show your work please

olganol [36]

Answer:

n=36

Step-by-step explanation:

36 divided by 2 is 16 then subtract 10 and you will get 6 hope this helps

4 0

3 years ago

Read 2 more answers

Please help and explain.

Alexandra [31]

Answer:

-1/3

Step-by-step explanation:

Use the formula, (y2 - y1)/(x2 - x1). In this case, there is a negative slope.

Start from point, (1, 9) and go to point (4, 8).

Use the formula:

(y2 - y1)/(x2 - x1)

Y2 = 8

Y1 = 4

X2 = 9

X1 = 1

(8 - 9)/(4 - 1) = -1/3

Therefore, the slope is -1/3

6 0

2 years ago

Read 2 more answers

A cone has a radius of 5 ft and a height of 15 ft. It is empty and is being filled with water at a constant rate of 15 15 ft 3 f

kvasek [131]

Answer:

$\frac{dr}{dt}=0.11062ft/sec$

Step-by-step explanation:

From the question we are told that:

Radius $r=5ft$

Height $H=15ft$

Rate $R=15ft/3sec =5ft/s$

Surface Radius $R_{surf}=2.2ft$

Generally the equation for Volume is mathematically given by

$V=\frac{1}{3}\pi*r^2h$

Since radius to height ratio gives

$\frac{r}{h}=\frac{5}{15}$

$\frac{r}{h}=\frac{1}{3}$

$h=3r$

Therefore

$V=\frac{1}{3}\pi*r^2(3r)$

$V=\pi r^3$

Generally the equation for Change of Volume is mathematically given by

$\frac{dv}{dt}=\pi \frac{d}{dt}(r^3)$

$\frac{dv}{dt}=\pi 3*r^2 \frac{dr}{dt}$

$\frac{dv}{dt}=\pi 3*(2.2)^2 \frac{dr}{dt}$

$\frac{dr}{dt}=\frac{5}{45.62}$

$\frac{dr}{dt}=0.11062ft/sec$

3 0

3 years ago

How do you convert the general equation form of a circle to standard form? Answer correctly to get 20 points. Please provide an

ivanzaharov [21]

Answer:

Step-by-step explanation:

The standard form of a circle's equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius. To convert an equation to standard form, you can always complete the square separately in x and y.

5 0

2 years ago

Find the domain of the rational expression: x-4/2x-6

marin [14]

Answer:

All real numbers except 3

Step-by-step explanation:

Given

$\frac{x - 4}{2x - 6}$