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Questions in mathematics

[Jawaban] Simplify the following expression: [tex]$\frac{7 k^2}{4 k^3}$[/tex]

[Jawaban] Write the expression as an exponent with the base of a: [tex]$\left(a^4\right)^3$[/tex]

[Jawaban] Simplify. $\frac{7}{a+8}+\frac{7}{a^2-64}$

[Jawaban] Which function has the same minimum value as [tex]f(x)=\sqrt{x}+3[/tex]? [tex]f(x)=3 x+3[/tex] [tex]f(x)=|x|+3[/tex] [tex]f(x)=\frac{1}{x}+3[/tex] [tex]f(x)=-x^2+3[/tex]

[Jawaban] The populations and land areas of four cities in Texas are shown. | | Population | Area ($km^2$) | | :------- | :---------- | :------------ | | City A | $2,195,914$ | 1,553 | | City B | 48,592 | 26 | | City C | $1,257,676$ | 999 | | City D | 196,429 | 258 | Which statements are true? Select three options. A. The population density for City B can be found using the ratio $48,592: 26$. B. The population density for City D can be found using the ratio $258: 196,429$. C. City $A$ has the greatest population density of the four cities. D. The population density of City B is greater than that of City C. E. City D has the lowest population density of the four cities

[Jawaban] Simplify the following: $\left(-6 y^4\right)^2\left(-2 y^6\right)^3$ =

[Jawaban] Evaluate the limit $\lim _{x \rightarrow \infty} \frac{(2-x)(9+3 x)}{(3-3 x)(4+6 x)}$

[Jawaban] 1.3.2 Explain the meaning of the term perimeter. 1.3.3 Which of the following formulae can be used to calculate the perimeter of a rectangle? A. Perimeter = length × width B. Perimeter = length + length + width C. Perimeter = (2 × length) + (2 × width) 1.4 The gate at the College has the following dimensions: height = 2.08 m and length = 3.5 m. 1.4.1 Calculate the perimeter of the gate. 1.4.2 Calculate the area occupied by the gate. You may use the following formula: Area = length × height

[Jawaban] The perimeter of a rhombus is 28 centimeters. What is the length of each side of the rhombus? A. 3 cm B. 4 cm C. 6 cm D. 7 cm

[Jawaban] Solve for $x$ using the distributive property. $\begin{array}{l} 2(5+x)=40 \ {[?]+\square x }=40 \ (2 \cdot 5) \end{array}$ Hint: Multiply both terms inside the parentheses with the number on the outside.