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Algebra II

A biologist has found that the number of branches on a certain rare tree can be modeled by the polynomial $b (y) = 4 y^{2} + y$ where y is the number of years after the tree reaches a height of 6 feet. The number of leaves on each branch can be modeled by the polynomial $l (y) = 2 y^{3} + 3 y^{2} + y$ . Write a polynomial describing the total number of leaves on the tree.

Mylo O'Moore 2021-02-02

Describe the quotient rule for logarithms and give an example.

tricotasu 2021-02-02

Write the following in exponential form.
$\log 1.27 5.86$

Reeves 2021-02-02

Solve: $\log 6 x = 0.5 \log 6 36$

slaggingV 2021-02-01

To simplify: The expression and eliminate coefficients if any:
a) $\sqrt{4} {b^{3}} \sqrt{b}$
b) $(2 \sqrt{a}) (\sqrt{3} {a^{2}})$

he298c 2021-02-01

${\log 10}^{x} = 2 a and {\log 10}^{y} = \frac{b}{2}$ write $10^{a}$ in terms of x

Lennie Carroll 2021-02-01

How can the division algorithm be used to check the result of the polynomial division.

ediculeN 2021-02-01

1. Evaluate the following exponentials with explanations. You may need to use a calculator with a Y x key.
EXAMPLE: X $- 1 / 4$ . If X = 4, this gives _0.7071. Compute to two decimal places or more.
a. X $- 1 / 5$ , When X = 2, this gives .
b. X 1 , When X = 4, this gives .
c. X $1 / 2$ , When X = 64, this gives .
d. X $3 / 4$ , When X = 2, this gives __.
My last question was rejected with the explanation that their is no formulas that go with a-d. This is the exact question the instructor asked us to work on.

Annette Arroyo 2021-01-31

Use a triple integral to find the volume of the solid bounded by the graphs of the equations. $z = 2 - y, z = 4 - y^{2}, x = 0, x = 3, y = 0$

avissidep 2021-01-31

Use the prime factorizations $a = 2^{4} \times 3^{4} \times 5^{2} \times 7^{3} and b = 2^{2} \times 3 \times 5^{3} \times 11$ to find the prime factorization of the following.
(a) LCM(a, b)
(b) GCF(a, b)

Tazmin Horton 2021-01-31

Solve the Quadratic equation by factorization
$x^{2} - 5 x - 24 = 0$

geduiwelh 2021-01-31

Consider the "clock arithmetic" group $(Z_{15}, \oplus)$ a) Using Lagrange`s Theotem, state all possible orders for subgroups of this group. b) List all of the subgroups of $(Z_{15}, \oplus)$

glasskerfu 2021-01-31

Evaluate the line integral $\oint_{C} \frac{y}{{(x - 1)}^{2} + 4 y^{2}} d x + \frac{- (x - 1)}{{(x - 1)}^{2} + 4 y^{2}} d y$ where C is circle defined by $x^{2} + y^{2} = 27$

Albarellak 2021-01-31

The table gives the midyear population of Japan, in thousands, from 1960 to 2010.
$\begin{array}{cc} Year & Population \\ 1960 & 94.092 \\ 1965 & 98.883 \\ 1970 & 104.345 \\ 1975 & 111.573 \\ 1980 & 116.807 \\ 1985 & 120.754 \\ 1990 & 123.537 \\ 1995 & 125.327 \\ 2000 & 126.776 \\ 2005 & 127.715 \\ 2010 & 127.579 \end{array}$
Use a calculator to fit both an exponential function and a logistic function to these data. Graph the data points and both functions, and comment on the accuracy of the models. [Hint: Subtract 94,000 from each of the population figures. Then, after obtaining a model from your calculator, add 94,000 to get your final model. It might be helpful to choose $t = 0$ to correspond to 1960 or 1980.]

Nannie Mack 2021-01-31

True or False. The domain of every rational function is the set of all real numbers.

Kyran Hudson 2021-01-31

To calculate: The least common denominator for the pair of expressions $\frac{x + 3}{x^{2} + 20 x 100} a n d \frac{3}{2 x^{2} + 20 x}$

Zoe Oneal 2021-01-31

Find the solution $\log (6 x + 10) = \frac{\log (x)}{\log (\frac{1}{2})}$

slaggingV 2021-01-31

Completely simplify the expression $(2 \frac{x}{y^{- 1 / 3}})^{- 1}$ Your final answer should contain no negative exponents and no radicals.

Tammy Todd 2021-01-31

Insert five arithmetic means between 5 and 21. (Enter your answers from smallest to largest.) Find the sum of the first n terms of the arithmetic sequence. $- 9 + (- 12) + (- 15)$ + ... (to 10 terms)

arenceabigns 2021-01-31

The terms in the polynomial $- 4 y^{5} + 7 y^{2} - 3 y - 2.$

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