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Questions in mathematics

[Done] Solve for $x$. $\frac{-37+x}{4}=-6$ Simplify your answer as much as possible.

[Done] Expand log(x^3 / y^3).

[Done] Work out $4 \div \frac{20}{3}$. Give your answer in its simplest form.

[Done] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

[Done] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

[Done] Simplify $\left(-s^2+s-1\right)-\left(s^2-s+1\right)$.

[Done] Evaluate the limit $\lim _{x \rightarrow \infty} \frac{1+6 x}{5-2 x}$

[Done] 1. There are 4 triangles, 12 squares, and 6 circles. What is the ratio of triangles to squares? Simplify. A) 1:3 B) 12:4 C) 2 to 6 2. Mr. Wright has 7 boys and 9 girls. What is the ratio of girls to boys? A) 7 to 9 B) 9 to 7 3. You have 29 books on your shelf. You have read 18 of those books. What is the ratio of books not read to all of the books on your shelf? A) 11:29 B) 18 to 29 C) 11:18 4. The Upward Football League has 156 players on 12 teams. What is the unit rate of players to teams? A) 14 players per team B) 12 players per team C) 13 players per team 5. My mother purchased 8 Pepsi products at Bi-Lo for $14.00. What is the price per product? A) $2.00 per product B) $1.75 per product C) $1.50 per product

[Done] The equation of a circle is $x^2+(y-10)^2=16$. The radius of the circle is $\square$ units. The center of the circle is at $\square$

[Done] Using the definition of the derivative, find $f^{\prime}(x)$. Then find $f^{\prime}(1), f^{\prime}(2)$, and $f^{\prime}(3)$ when the derivative exists. $f(x)=-x^2+2 x-2$ $f^{\prime}(x)=$ $\square$ (Type an expression using $x$ as the variable.) Select the correct answer below and, if necessary, fill in the answer box to complete your choice. A. $f(1)=$ $\square$ (Type an integer or a simplified fraction.) B. The derivative does not exist. Select the correct answer below and, if necessary, fill in the answer box to complete your choice. A. $f^{\prime}(2)=$ $\square$ (Type an integer or a simplified fraction.) B. The derivative does not exist. Select the correct answer below and, if necessary, fill in the answer box to complete your choice. A. $f^{\prime}(3)=$ $\square$ (Type an integer or a simplified fraction.) B. The derivative does not exist.