All categories

3 years ago

Solve the logarithmic equation rounding to the nearest ten-thousandth 3 log 2x = 4

1 answer:

6 0

First, divide both sides by 3 to get log2x = 4/3.

Since you know a regular log has base 10, another way to write log2x = 4/3 is 10^(4/3) = 2x.

Then, divide both sides by 2.

x = 10.7722

You might be interested in

Another day. Another question... :)

lutik1710 [3]

im not sure but its 80 or 65

3 0

3 years ago

The mosquito population is a function of rainfall, and can be approximated by the formula N(x)=−x3+45x2+1000 where x is the numb

KiRa [710]

Answer:

Therefore the population will be maximum when x=30 inches.

Step-by-step explanation:

Given that, the mosquito population is a function of rainfall and can be approximated by the formula

$N(x)= -x^3+45x^2+1000$

where x is the number of inches of rainfall.

$N(x)= -x^3+45x^2+1000$

Differentiating with respect to x

$N'(x)= -3x^2+90x$

Again differentiating with respect to x

$N''(x)=-6x+90$

Now we set N'(x)=0

$-3x^2+90x=0$

$\Rightarrow -3x(x-30)=0$

$\Rightarrow x=0,30$

$N''(0)=-6.0+90=90>0$

$N''(30)=-6.30+90=-90$

Since at x=30, N''(x)<0, So at x=30, N(x) has maximum value.

Therefore the population will be maximum when x=30 inches.

5 0

3 years ago

Given that MN = 5, NO = 12, and MO = 13, find cos O.

Galina-37 [17]

Answer:

12/13

Step-by-step explanation:

Given that MN = 5, NO = 12, and MO = 13, find cos O.

Since the reference angle is P, hence;

MN is the opposite = 5

MO is the hypotenuse = 13 (longest side)

NO is the adjacent = 12

Cos O = adj/hyp

Substitute the given values

Cos O = 12/13

Hence the value of Cos O is 12/13

8 0

3 years ago

Eh does anyone know this XD

Yuliya22 [10]

Answer:

9/3

Step-by-step explanation:

It's going up by 9 and going right by 3.

Remember it's rise over run.

3 0

3 years ago

Read 2 more answers

(7/6)3y+15=(49/36)4y

Doss [256]

Answer:

y=54/7

Step-by-step explanation:

8 0

2 years ago