Questions in mathematics

Questions in mathematics

[Terjawab] Write a doubles fact you can use to find the sum of \(6 + 7\).

[Terjawab] Hunter won 89 percent of his wrestling matches this year and came in third at the state tournament. If he competed in 46 matches over the course of the season (including the state tournament), how many did he lose?

[Terjawab] What is the answer to this? Show your work. \[ \frac{18}{9} + 3^2 \]

[Terjawab] The sum of 12 and the quantity 8 times a number \( k \) is equal to 48. Express this as an equation: \[ 12 + 8k = 48 \]

[Terjawab] Turn \(\frac{8}{200}\) into a decimal using an equivalent fraction. Show your steps.

[Terjawab] What is the value of the expression when \( a = 4 \) and \( b = 3 \)? \[ 4a + b - 5 \] A. 2 B. 14 C. 7 D. 6

[Terjawab] 6.3 is 7% of what number?

[Terjawab] A drop on a wooden roller coaster is -98 1/2 feet. A drop on a steel roller coaster is 100 1/4 feet lower than the drop on the wooden roller coaster. What is the drop on the steel roller coaster?

[Terjawab] Solve for \( x \) and justify each step. \[ 3x - 7 = 5x - 19 \]

[Terjawab] The voltage across a charged capacitor, measured in volts, is given by the equation [tex]V(t) = 4(2.72)^{\frac{-t}{2}}[/tex], where [tex]t[/tex] is measured in seconds since the current was removed. Include at least three decimal places in all your answers. a. What is the voltage after 2 seconds? b. What is the 1-second growth factor? c. When will the voltage be 1 volt? d. When will the voltage be [tex]x[/tex] volts? (Your answer should be an exact expression with [tex]x[/tex] in it)