Solve the logarithmic equation algebraically. Approximate the result to three decimal places. $\log _{10} x+\log _{10}(x+1)=\log _{10}(x+3)$

For the family of linear functions of the form $f(x)=m x+b$, the parameter that causes the steepness of the graph of the line to change is__________

Choose the statement that is true about the given quantities.
A. The quantity in column A is greater.
B. The quantity in column B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the given information.

$$\begin{cases} 5x + 1, if x < 9\\6x - 4,if x \geq 9 \end{cases}$$

|f(-4) where f(x) =

$$\begin{cases} 9, if x \leq -4 \\ 11, if x>-4\end{cases}$$

|

Do you think the exponential model would be appropriate for predicting the number of daily hits for Spendco in any future year? Explain your reasoning.

Find the center and radius of the circle

$$x^2+y^2$$

-8x+2y+11=0.

Choose the best answer. Which biome has the highest soil nutrient levels? (a) tropical rainforest (b) boreal forest (c) woodland/shrubland (d) temperate seasonal forest

Determine the distance between the given points. (2.5,-2) and (-5,2)

Calculate the moments Mx and My and the center of mass of a lamina with the given density and shape.

What three things is a doctor licensed to perform?

Acetylene $\left(\mathrm{C}_{2} \mathrm{H}_{2}\right)$ is burned with 25 percent excess oxygen in a cutting torch. Determine the mass fraction of each of the products. Calculate the mass of oxygen used per unit mass of acetylene burned.

True or False The probability of an event can be greater than 1. Justify your answer.

Determine the amount in the account one year later if $\$ 100$ is invested at $6 \%$ interest compounded $k$ times per year.
$k=365$ (daily)

Estimate the number of gallons of gasoline consumed by the total of all automobile drivers in the U.S., per year.

How many equivalents of hydroxide ions are needed to react with $1.53$ equivalents of hydrogen ions? How can you tell when no balanced chemical equation is given for the reaction?