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Algebra II

American automobiles produced in 2012 and classified as “large”; had a mean fuel economy of 19.6 miles per gallon with a standard deviation of 3.36 miles per gallon. A particular model on this list was rated at 23 miles per gallon, giving it a z-score of about 1.01. Which statement is true based on this information?

A) Because the standard deviation is small compared to the mean, a Normal model is appropriate and we can say that about $84.4 %$ of of large automobiles have a fuel economy of 23 miles per gallon or less.

Suman Cole 2021-01-17

Fill in the bla?

An equation that expresses a relationship between two or more variables, such as $H = \frac{9}{10} (20 - a)$ is called a/an ? The process of finding such equations to describe real-world phenomena is called mathematical ? Such equations, together with the meaning assigned to the variables, are called mathematical ?

avissidep 2021-01-16

Solve the given problem related to population growth.
During the first decade of this century the population of a certain city grew exponentially the population of the city was 146210 in 2000 and 217245 in 2010. Find the exponential growth function that models the population growth of the city use t= 0 to represent 2000 and t= 10 to represent 2010 and so on.
N(t)=?
Use your exponential growth function to predict the population of the city in 2016. Round to the nearest thousand.

babeeb0oL 2021-01-16

Simplifying Expressions Involving Radicals Simplify the expression and express the answer using rational exponents. Assume that all letters denote positive numbers. $\sqrt{x^{5}} x^{5}$

Bergen 2021-01-16

Franco begins to save for a new Lego set that costs $65. His parents gave him $35 towards the cost and he plans to save $5 per week. Define all unknown variables. Write an equation modeling the total amount he has saved.

Suman Cole 2021-01-16

Consider that math modeling following initial valu problem
$\frac{d y}{d t} = 3 - 2 t - 0.5 y, y (0) = 1$
We would liketo find an approximation solution with the step size $h = 0.05$
What is the approximation of $y (0.1) ?$

Caelan 2021-01-16

Write in exponential form.
$\log 3 1 = 0$

boitshupoO 2021-01-16

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary.
$3 y^{3} + 24 y^{2} + 9 y$

djeljenike 2021-01-16

Solve the following systems of equations.
$x^{2} + y^{2} - 19 x + y + 66 = 0$
x−y−3=0

Wierzycaz 2021-01-15

Find the 37th term of an arithmetic sequence whose second and third terms are −4 and 12. If the fourth term of an arithmetic sequence is 17 and the second term is 3, find the 24th term.

Wierzycaz 2021-01-15

Use Exponential Models in Applications
In the following exercises, solve.
Sayed deposits $20,000 in an investment account. What will be the value of his investment in 30 years if the investment is earning 7% per year and is compounded continuously?

Wribreeminsl 2021-01-15

Solve the equation and find the exact solution:
$\log b a s e 2 (\log b a s e 3 (\log b a s e 4 (x))) = 0$

Line 2021-01-13

Solve the following system of equations.
$2 x_{1} - x_{2} - x_{3} = - 3$
$3 x_{1} + 2 x_{2} + x_{3} = 13$
$x_{1} + 2 x_{2} + 2 x_{3} = 11$
$(x_{1}, x_{2}, x_{3}) =$

glamrockqueen7 2021-01-13

Find the prime factorization of 76

EunoR 2021-01-13

Which equation is equivalent to $\log y = 2 x + 1$ ?
(A) $y = 10 (100)^{x}$
(B) $y = 10^{x}$
(C) $y = e^{2} x + 1$
(D) $y = e^{2}$

Ava-May Nelson 2021-01-10

Give a polynomial division that has a quotient of x+5 and a remainder of -2.

Dolly Robinson 2021-01-10

Solve $\log 4 (x + 3) + \log 4 (2 - x) = 1$

sanuluy 2021-01-10

Need to calculate:The factorization of $x^{3} - 7 x^{2} + 4 x - 28$ .

Josalynn 2021-01-10

Solve the compound interest formula for the interest rate r using the properties of rational exponents. then use the obtained formula to calculate the interest rate for an account that was compounded semi-annually, had an initial deposit of $10,000 and was worth $14,373.53 after 11 years.

ddaeeric 2021-01-10

Perform the indicated divisions of polynomials by monomials.
$\frac{- 18 x^{2} y^{2} + 24 x^{3} y^{2} - 48 x^{2} y^{3}}{6 x y}$

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