Express each terminating decimal as a quotient of integers. If possible, reduce to lowest terms. 0.4

Fill in each blank so that the resulting statement is true. When solving a system of linear equations by

Describe how you would proceed to find the domain and range of a function if you were given its graph. How would your strategy change if you were given the equation defining the function instead of its graph?

Blood carries oxygen to cells. A dog's muscle cells require energy. Explain why a dog's heart might need to pump faster when the dog jumps.

Why are normally unseen members of the food web, such as soil microorganisms, essential to the nitrogen cycle? Use a model to support your answer.

Describe the function of each organ through which food passes as it moves through the digestive tract.

A circle is defined by the equation $x^{2}+y^{2}=k$, with k being a real number such as 12. To dilate the circle with a scale factor of 9, you should A. Multiply k by 9. B. Multiply k by 3. C. Multiply k by 81. D. Divide k by 9.

Show that the given value(s) of c are zeros of P(x), and find all other zeros of P(x). $P(x)=x^{3}-5 x^{2}-2 x+10, \quad c=5$

Divide the two numbers using long division:

$$4018 \div 82$$

Escribe la frase con la información correcta.
Según Ana, la Red no sirve para mucho.

Match each description with the nutrient. Each nutrient may be used more than once.

$$\begin{matrix} \text{Description} & \text{Nutrient}\\ \text{May be fat-soluble or water-soluble} & \text{A. water}\\ \text{ } & \text{B. carbohydrates}\\ \text{ } & \text{C. fats}\\ \text{ } & \text{D. proteins}\\ \text{ } & \text{E. vitamins}\\ \text{ } & \text{F. minerals}\\ \end{matrix}$$

Use the definition of the logarithmic function to find x. $\log _{2}\left(\frac{1}{2}\right)=x$

What is a tagine?

Although q(x) < 0 in the following boundary-value problems, unique solutions exist and are given. Use the Linear Shooting Algorithm to approximate the solutions to the following problems, and compare the results to the actual solutions. $a. y^{\prime \prime}+y=0, \quad 0 \leq x \leq \frac{\pi}{4}, y(0)=1, y\left(\frac{\pi}{4}\right)=1;$ use $h=\frac{\pi}{20};$ actual solution $y(x) = \cos x+(\sqrt{2}-1) \sin x.$ $b. y^{\prime \prime}+4 y=\cos x, \quad 0 \leq x \leq \frac{\pi}{4}, y(0)=0, y\left(\frac{\pi}{4}\right)=0 ; \text { use } h=\frac{\pi}{20};$ actual solution $y(x) = -\frac{1}{3} \cos 2 x-\frac{\sqrt{2}}{6} \sin 2 x+\frac{1}{3} \cos x$ $c. y^{\prime \prime}=-4 x^{-1} y^{\prime}-2 x^{-2} y+2 x^{-2} \ln x, \quad 1 \leq x \leq 2, y(1)=\frac{1}{2}, y(2)=\ln 2;$ use h = 0.05; actual solution $y(x)=4 x^{-1}-2 x^{-2}+\ln x-3 / 2.$ $d. y^{\prime \prime}=2 y^{\prime}-y+x e^{x}-x, \quad 0 \leq x \leq 2, y(0)=0, y(2)=-4;$ use h = 0.2; actual solution $y(x)=\frac{1}{6} x^{3} e^{x}-\frac{5}{3} x e^{x}+2 e^{x}-x-2.$