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Questions in mathematics

[Free] What is the equation of a circle with center $(-2,3)$ and radius $4$? A. $(x+2)^2-(y-3)^2=16$ B. $(x+2)^2+(y-3)^2=16$ C. $(x+2)^2+(y-3)^2=4$ D. $(x-2)^2+(y+3)^2=16

[Free] Evaluate $(h h)\left(\frac{7}{5}\right)$ given that $h(x)=\frac{1}{5 x+2}$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $( hh )\left(\frac{7}{5}\right)=$ $\square$ (Simplify your answer.) B. The answer is undefined.

[Free] Find $34n = 1001/2$.

[Free] Use logarithms to solve the exponential equation. [tex]2^{x+2}=5^{x-4}[/tex] The solution is [tex]x=[/tex] ____. Simplify your answer. Round the final answer to three decimal places as needed. Round all intermediate values to six decimal places as needed.

[Free] Homework Progress 33 / 95 Marks By rounding to 1 significant figure, estimate the answers to these questions: a) $78 \times 92$ b) $615 \times 38$ c) $423 \times 764$

[Free] One circle has a circumference of 12 cm. Another circle has a circumference of 32 cm. What is the ratio of the radius of the smaller circle to the radius of the larger circle? A. 3:8 B. 8:3 C. 1:3 D. 3:1

[Free] 90. Calculate the 15th term of the arithmetic progression: 4, 9, 14, 19, ... 91. Solve the following system of linear equations: 2x + 3y = 5 and 4x - y = 3. 92. Find the value of x and y: 3x + 4y = 7 and x - 2y = 3. 93. Solve for x and y: 5x + 2y = 10 and 3x - y = 4. 94. Determine the solution for the system: x + y = 6 and 2x - 3y = 4. 95. Solve the following system: 2x - y = 1 and 3x + 4y = 12. 96. Find the values of x and y: x - 3y = 2 and 4x + y = 7. 97. Solve for x and y: 3x + 2y = 8 and x - y = 1. 98. Determine the solution for the system: 2x + y = 5 and 3x - 2y = 4. 99. Solve the following system: x + 2y = 7 and 4x - y = 3. 100. Find the values of x and y: 2x - 3y = 4 and x + y = 5.

[Free] In a flight of 2800 km, an aircraft was slowed down due to bad weather. Its average speed is reduced by 100 km per hour, and by doing so, the time of flight is increased by 30 minutes. Find the original duration of the flight?

[Free] [tex]$27=x^{\frac{3}{2}}$[/tex]

[Free] Simplify the following expression: $-1-3 x-6+2 x^2+3 x^2-6 x$