I need help with my algebra hw

Anna has been studying a type of bacteria that triples every month. Originally, there were 4 bacterial cells. She wants to know

bija089 [108]

As per the given information;

Bacteria triples every month.

Originally, there were 4 bacterial cells.

We are suppose to find how many there will be after 15 months.

Hence we can say , the number of bacteria after n month can be given using the exponential growth function

$a_n=4*3^n$

So number of bacteria after 15 month will be

$a_{15}=4*3^{15}$

7 0

3 years ago

Consider the equation: 3 4 x − 12 = 12 Which statement could be a translation of the given equation? A number minus 12 is three-

musickatia [10]

Answer:

<h3>The translation statement for the given equation $\frac{3}{4}x-12=12$ is " Three-fourths of a number minus twelve is the same as twelve. "</h3>

Step-by-step explanation:

Given equation is $\frac{3}{4}x-12=12$

<h3>To find the statement which could be a translation of the given equation :</h3>

$\frac{3}{4}x-12=12$
The above equation can be written as
Three-fourths of a number x minus twelve is equal to twelve.

<h3>Therefore the translation statement for the given equation $\frac{3}{4}x-12=12$ is " Three-fourths of a number minus twelve is the same as twelve. "</h3>

The option is <u> " Three-fourths of a number minus twelve is the same as twelve. "</u> correct

4 0

4 years ago

Read 2 more answers

Is y = 0 the asymptote of all functions of the form f(x) = ab^x? Explain your reasoning.

xeze [42]

Y=0 would be a horizontal line. An asymptote is a line that a function approaches, but never reaches. Exponential functions such as these are a smooth curve. If both numbers are positive numbers greater than or equal to 1, the curve increases. If at least one of the numbers is a positive number between 0 and 1, the curve decreases. If <em>a</em> is a negative number, the curve decreases as well. If either <em>a</em> or <em>b</em> is zero, then the graph would stay constant at 0. However, as long as neither <em>a</em> nor <em>b</em> is zero, then this graph will never touch that point. The only way to get an answer of y=0 is to multiply by 0. If neither <em>a</em> nor <em>b</em> is zero, this won't happen.

6 0

3 years ago

2. Check the boxes for the following sets that are closed under the given

son4ous [18]

The properties of the mathematical sequence allow us to find that the recurrence term is 1 and the operation for each sequence is

a) Subtraction

b) Addition

c) AdditionSum

d) in this case we have two possibilities

* If we move to the right the addition

* If we move to the left the subtraction

The sequence is a set of elements arranged one after another related by some mathematical relationship. The elements of the sequence are called terms.

The sequences shown can be defined by recurrence relations.

Let's analyze each sequence shown, the ellipsis indicates where the sequence advances.

a) ... -7, -6, -5, -4, -3

We can observe that each term has a difference of one unit; if we subtract 1 from the term to the right, we obtain the following term

-3 -1 = -4

-4 -1 = -5

-7 -1 = -8

Therefore the mathematical operation is the subtraction.

b) $0. \sqrt{1}. \sqrt{4}, \sqrt{9}, \sqrt{16}, \sqrt{25}$ ...

In this case we can see more clearly the sequence when writing in this way

$0, \sqrt{1^2}. \sqrt{2^2}, \sqrt{3^2 } . \sqrt{4^2} , \sqrt{5^2}$

each term is found by adding 1 to the current term,

$\sqrt{(0+1)^2} = \sqrt{1^2} \\\sqrt{(1+1)^2} = \sqrt{2^2}\\\sqrt{(2+1)^2} = \sqrt{3^2}\\\sqrt{(5+1)^2} = \sqrt{6^2}$

Therefore the mathematical operation is the addition

c) $... \frac{-10}{2}. \frac{-8}{2}, \frac{-6}{2}, \frac{-4}{2}. \frac{-2}{2}. ...$

The recurrence term is unity, with the fact that the sequence extends to the right and to the left the operation is

To move to the right add 1

- $\frac{-10}{2} + 1 = \frac{-10}{2} - \frac{2}{2} = \frac{-8}{2}\\\frac{-8}{2} + \frac{2}{2} = \frac{-6}{2}$

To move left subtract 1

$\frac{-2}{2} - 1 = \frac{-4}{2}\\\frac{-4}{2} - \frac{2}{2} = \frac{-6}{2}$

Using the properties the mathematical sequence we find that the recurrence term is 1 and the operation for each sequence is

a) Subtraction

b) Sum

c) Sum

d) This case we have two possibilities

If we move to the right the sum

If we move to the left we subtract

Learn more here: brainly.com/question/4626313

5 0

3 years ago

In AKLM, m = 86 inches, k = 56 inches and ZL=85°. Find ZM, to the nearest<br> degree.

lara31 [8.8K]

Please show a pic so i can understand better

8 0

3 years ago