All categories

2 years ago

Please can I get an explanation, please!!

Mathematics

1 answer:

nekit [7.7K]2 years ago

7 0

Find the inverse of

$y = \left( \dfrac 1 5 \right)^x$

For the inverse we swap x and y and solve for y.

$x = \left( \dfrac 1 5 \right)^y$

Taking logs base 1/5

$\log_{1/5} x = y$

$f^{-1}(x) = \log_{1/5} x$

Answer: Second Choice

Note: There's more simplification to do but we'll stop here.

You might be interested in

Do #11 I need help pleae

ryzh [129]

330 page/(3/4 Hour):==> 330 : 3/4
To solve this division you have to MULTIPLY the 1st term by the reciprocal of the 2nd (the reciprocal of 3/4 is 4/3), so

330 x 4/3 = (330x4)/3 = 440
330 pages were read in 3/4 Hour (given) & in 1 hour. could be read

3 0

2 years ago

Absolute value inequality

Marizza181 [45]

|x| because just Google it if I'm wrong

8 0

3 years ago

How many variable terms are in the expression 3x3y + 5xz − 4y + x − z + 9?

Dimas [21]

Answer:

Step-by-step explanation:

there are only x y and z used in the expression no matter how many times they multiply.

8 0

2 years ago

1) The deer population in a national park is expected to decline over time. The park

Lorico [155]

Answer:

Here's what I find.

Step-by-step explanation:

You have 800 deer at the end of Year 1, and you expect the population to decrease each year thereafter.

a) i) The recursive formula

Let dₙ = the deer population n years after the initial measurement.

$d_{n} = d_{n - 1}r^{n}$

For this situation,

$d_{n} = d_{n - 1}(0.5)^{n}$

a) ii) Definitions

n = the number of years from first measurement

r = the common ratio, that is, the deer population at the end of one year divided by the population of the previous year.

a) iii) First term of sequence

The first term of the sequence is d₀, the population when first measured.

b) The function formula

The formula for the nth term of a geometric series is

$d_{n} =d_{0}r^{n - 1}$

c) Value of d₀

Let n = 2; then d₂ = 800

$\begin{array}{rcl}800 & = & d_{0}(0.5)^{2 - 1}\\800 & = & d_{0}(0.5)\\\\d_{0} & = & \dfrac{800}{0.5}\\\\& =&\mathbf{1600}\\\end{array}$

4 0

3 years ago

After mixing two types of candies, the price became $3.40 per lb. The quantity of the first type of candy was 5/12 of the quanti

drek231 [11]

Answer:

$2.90

Step-by-step explanation:

The quantity of the 1st type of candy be x lb and that of the second type − y lb with the price of $ p/lb.

Then, x=5y/12 or y=2.4x.

The "total price" equation will be: 4.6x + 2.4xp = 3.4(x+2.4x).

Solving for p, we get p = $2.90.

5 0

2 years ago