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3 years ago

Find the inverse of the function: y=log₂(-4x)

Mathematics

1 answer:

Vlad1618 [11]3 years ago

5 0

Answer:

-2^(x-2)

Step-by-step explanation:

Using differential calculus:

We know that the integral of 1/x = ln(x)

or 2x/ln(2) = log2(x), so we plug in our knowledge and chain rule to figure out that the answer to the inverse is -2^(x-2) :)

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PLEASE FINISH QUICKLYYY!!!!!!

swat32

1) Area = leg(1) * leg(2) * .5 = 15 * 36 * .5 = 270

Perimeter = leg(1) + leg(2) + hypotenuse = 15 + 36 + 39 = 90

2) Area = leg(1) * leg(2) = 20 * 80 = 1600

3) Median (divides it in 1/2)

4) Both (divides it in 1/2 and makes a 90 degree angle w/ base)

5) Altitude (makes 90 degree angle w/ base)

6)sqrt(30^2 + 16^2) = sqrt( 900 + 256) = sqrt(1156) = 34

7) sqrt(24^2 + 18^2) = sqrt( 576 + 324) = sqrt(900) = 30

8) sqrt(40^2 + 96^2) = sqrt(1600 + 9216) = sqrt(10816) = 104

9) sqrt(150^2 - 90^2) = sqrt(22500 - 8100) = sqrt(14400) = 120

10) sqrt(35^2 - 25^2) = sqrt(1225 - 625) = sqrt(600) = 10sqrt(6), approx. 24.5

7 0

3 years ago

Express 192 as a prime factors in order

iVinArrow [24]

You can write this two ways - as a list of prime factors, or combine like factors and represent their quantity with an exponent.
If you begin by dividing by two, you can do that six times, with a three as the remaining prime factor.
2·2·2·2·2·2·3
OR
2∧6 · 3

7 0

3 years ago

The general term for the sequence 2, 4, 8, 16, 32, . . . is

Nuetrik [128]

We are given

sequence is 2 , 4 , 8 ,16 , 32 , .....

Firstly , we will check whether it is geometric sequence

Checking geometric sequence:

We will find common ratio between successive terms

and then we check whether they are equal

r1=(second term)/(first term)

$r_1=\frac{4}{2}=2$

r2=(third term)/(second term)

$r_2=\frac{8}{4}=2$

r3=(fourth term)/(third term)

$r_3=\frac{16}{8}=2$

r4=(fifth term)/(fourth term)

$r_4=\frac{32}{16}=2$

we can see that all four ratios are same

$r_1=r_2=r_3=r_4=2$

so, this is geometric sequence

Calculation of general term:

We got

common ratio is

$r=2$

Let's assume

number of terms is n

first term is 2

$a_1=2$

now, we can use formula

$a_n=a_1 (r)^{n-1}$

we can plug values

and we get

$a_n=2(2)^{n-1}$

$a_n=2^1(2)^{n-1}$

$a_n=(2)^{n-1+1}$

$a_n=(2)^{n}$ ..................Answer

5 0

3 years ago

An ice cream shop sells 6 different flavors, 4 toppings, and 3 types of cones. How many different combinations of two different

Bas_tet [7]

Answer:

360 combinations

Step-by-step explanation:

To calculate the number of different combinations of 2 different flavors, 1 topping, and 1 cone, we are going to use the rule of multiplication as:

6 * 5 * 4 * 3 = 360

1st flavor 2nd flavor topping cone

Because first, we have 6 possible options for the flavor, then we only have 5 possible options for the 2nd flavor. Then, we have 4 options for the topping and finally, we have 3 options for the cone.

It means that there are 360 different combinations of two different flavors, one topping, and one cone are possible

6 0

3 years ago

How do you write 94,300 in scientific notation

Andrew [12]

Answer:

9.44 x 10^4 in scientific notation

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers