Questions in mathematics

Questions in mathematics

📝 Answered - The area of a square is $9 x^2+12 x+4$. a) Determine an expression that represents the perimeter. Note: Do not use the quadratic formula. b) State an equivalent expression to the perimeter in question 3(a).

📝 Answered - A group of friends are ordering food. The total amount that they can spend on their food bill is $[tex]$41$[/tex], including the delivery charge of $[tex]$6$[/tex]. The equation below represents the situation, where [tex]$x$[/tex] is the cost of each friend's meal. [tex]$6+a x=41$[/tex] The cost of each friend's meal in terms of [tex]$a$[/tex] is [ ] The cost of each friend's meal when the number of friends is 5 is $[tex]$[$/tex] [ ].

📝 Answered - If a tank holds 5000 gallons of water, and that water can drain from the tank in 40 minutes, then Torricelli's Law gives the volume [tex]V[/tex] of water remaining in the tank after [tex]t[/tex] minutes as [tex]V=5000\left(1-\frac{t}{40}\right)^2[/tex] Find the rate at which water is draining from the tank after 6 minutes. Round your answer to the nearest tenth. The rate is [$\square$] gallons per minute.

📝 Answered - Visits by seven patients in a month are as follows: $3, 5, 2, 7, 1, 4, 5$

📝 Answered - What is the total net worth if the banker pays off the student loans? $219,869 $247,517 $233,693 $252,304

📝 Answered - Evaluate the integral $\int_4^5 \frac{2}{x^2-8 x+17} d x$. A. $\frac{\pi}{2}$ B. 0 C. $\frac{\pi}{4}$ D. 1 E. $\frac{\pi}{3}$

📝 Answered - Six is subtracted from a number. Then the result is divided by 4. The new result is added to 10 to give a final result of 30. What is the number?

📝 Answered - Solve: [tex] \left|x^2+2 x-5\right|=2 [/tex]

📝 Answered - Which of the following groups of numbers are all prime numbers? A) 7, 17, 29, 49 B) 3, 11, 23, 31 C) 2, 3, 5, 9 D) 2, 5, 15, 19

📝 Answered - How much money must be in an account with an 8% interest rate, compounded continuously, to have $3000 in your account 10 years later? P = $ [?]