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Algebra II

The value of $f^{- 1} (0)$ using the table given.
Given: a table of values for the functions f(x) and g(x).
$\begin{array}{cc} x & 0 & 2 & 4 & 6 & 8 \\ f (x) & 8 & 2 & 0 & 6 & 4 \end{array}$
$\begin{array}{cc} x & 0 & 2 & 4 & 6 & 8 \\ g (x) & 4 & 8 & 0 & 2 & 6 \end{array}$

CMIIh 2021-09-09

Number of days required for a sample to decay from 10 milligrams to 1 milligram.
Given: 10 milligrams of sample decays to 5 milligrams in 23 days.

Nannie Mack 2021-09-09

The equation $y = b x^{a}$ can be written as $\log y = \log b + a \log x$

generals336 2021-09-08

$f : R \to R$
$f (x) = 8 x - 2$
$f (a) = f (b)$
$a, b \in R$
Prove that f is one-to-one.

babeeb0oL 2021-09-08

The approximate final value of the amount $900 at 0.99% compounded continuously for 9 years by using the compound interest formula.
The formula for total amount compounded continuously is given by
$A = P e^{r \cdot t}$
Where, A is the total amount, P is the principal, r is the annual interest rate, t is the time in years and e is the mathematical constant with approximate value 2.71828.
By substituting the values in the formula, we get the total value of this given amount.

Albarellak 2021-09-08

a) Show that $P (h 0) = K (v f)$
b) Interpret result from part a)
Given:
A ball with mass m is dropped from an initial height of $h_{0}$ , and lands with a final velocity of vf. The kinetic energy of the ball is $K (v) = 12 m v 2$ , where v is its velocity and the potential energy of the ball is $P (h) = m g h$ , where h is its height and g is a constant.
$v f = 2 g h 0$

naivlingr 2021-09-08

The fourth term of $(2 x + y) 5$
A binomial is a polynomial which contains two terms. Algebraically, sum or difference of two monomials is a binomial. Binomial theorem is used to expand the binomials to any given power without direct multiplication. According to the theorem, $(x + y) n = \sum k = 0 \cap C k x n - k y k$ where $n C k = C (n, k) = n! (n - k)! k!$ is the binomial coefficient in the theorem. It represents the number of ways in which k unordered outcomes can be selected from a total of n possibilities. The formula to find rth term is given as $t r = n C r - 1 x n - r + 1 y r - 1$ , where n is the exponent of the binomial, r is the number of the term to be found, x is the first term of the binomial and y is the second term of the binomial.

usagirl007A 2021-09-08

Average rate of change f(x)

kuCAu 2021-09-08

a) To calculate: A model of the form $N (t) = a + b \ln t$ for the provided data.
b) To calculate: The sales in a 7 weeks.
c) The validity of the statement with explanation.

Khaleesi Herbert 2021-09-08

To solve: The problemby modeling and solving a system of linear equation.
The given problem is a mixer problem where $60 %$ sugar solution and $30 %$ sugar solution are mixed together to make $51 %$ sugar solution where quantity of $30 %$ sugar solution is to be calculated.

Cem Hayes 2021-09-08

By 2009, the models indicate that Canada’s population will exceed Uganda’s by approximately 2.8 million.The exponential growth models describe the population of the indicated country, A, in millions, t years after 2006. Determine whether the statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.
Canada: $A = 33.1 e^{0.009 t}$
Uganda: $A = 28.2 e^{0.034 t}$

facas9 2021-09-08

The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Give the exponential models for those that are. (If an answer does not exist, enter DNE.)
$\begin{array}{ll} x & - 2 & - 1 & 0 & 1 & 2 \\ f (x) & 2 & 4 & 8 & 16 & 32 \\ g (x) & 7 & 0 & 1 & 0 & 7 \end{array}$

vazelinahS 2021-09-08

Given an indicated variable:
$S = 180 n - 360$
Solve it for n

jernplate8 2021-09-07

Write and solve a compound inequality that represents the possible temperatures (in degrees Fahrenheit) of the interior of the iceberg.
Given: The temperatures are given -20 and -15 in degree centigrade.

defazajx 2021-09-07

A cheetah that is running 90 feet per second is 120 feet behind an antelope that is running 60 feet per second. How long will it take cheetah to catch up to the antelope?

opatovaL 2021-09-07

What are the data modeling concepts used in the graph-oriented NOSQL system Neo4j?

Nann 2021-09-07

A city water department is proposing the construction of a new water pipe, as shown. The new pipe will be perpendicular to the old pipe. Write an equation that represents the new pipe.

Josalynn 2021-09-07

Write a compound inequality that represents all real numbers that are no more than 1 or no less than 6.

vazelinahS 2021-09-07

Show that $f (x) = x - 6$ and $g (x) = x + 6$ are inverses of each other.

Anish Buchanan 2021-09-07

f(x)=6x, where
$\underset{1}{x} = 0 \to \underset{2}{x} = 4$
Find the average rate of change of the function from $\underset{1}{x} \to \underset{2}{x}$ .

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