nsaravanan

please help

plz answer both queations thanks

Solving Problems Involving Quadratic Relations

Solve the following problems involving quadratic relations. You can choose to do so algebraically or graphically. If you choose to solve it graphically, you must attach a rough sketch of the graph from Desmos. If you choose to solve algebraically, SHOW ALL OF YOUR WORK.

A weight was dropped from a platform. Its path can be modelled by the equation h=−4.9t^2+13, where h represents the height of the ball in meters and t represents the time in seconds.
a) What is the height of the platform?
b) How long did it take the ball to land? 

Solving Problems Involving Quadratic Relations

Solve the following problems involving quadratic relations. You can choose to do so algebraically or graphically. If you choose to solve it graphically, you must attach a rough sketch of the graph from Desmos. If you choose to solve algebraically, SHOW ALL OF YOUR WORK.

The path of a tennis ball after it is hit can be modelled by the equation , where h is the height in meters and t is the time in seconds.
a) How long was the ball in the air?
b) How long did it take the ball to reach its maximum height?
c) What was the maximum height of the ball?

with y isolated in the first equation and subbed into the second what is the resulting equation

1.2y=6x

2.x^2+y^2=49

A.x^2+3x^2=49 B.x^2+9x=49 C.x^2+3x=49 D.x^2+9x^2=49

isolated x^2 in the first equation and then subbed it into the second equation.what was the resulting equation

1.x^2+y^2=9

2.x^2/25-y^2/36=1

1) Factor: k2 - 4

a. (k-2) (k-2)
b. (k2 + 4) (k2 - 4)
c. (k+2) (k-2)
d. (k+4)(k-4)
e. None of the above

2) Solve for x: (5x - 10)/(x - 2) = (3x)/(x + 1)

a. No Solution
b. -5/2
c. -1/2
d. 8
e. None of the above

3) Solve for x
x2 + 10x + 1 = 0

a.7
b.-5 ± v10
c.7 or -17
d.-5 ± 2v6

4) Solve for y:
x = (3 + y)2

A.-3 + v18 + x or -3 - v18 + x
B.-3 + vx or -3 - vx
C. -3 or 3
d. -3
e. None of the above

5) Find the real number restrictions on x in the expression

x2 / (x2 - 14x + 49)

A.0 and 7
b.7 and -7
c.7
d. none
e. None of the above

A company finds that its profits can be modelled with the formula P= 67.2x - 4.2x2, where P is the profit in millions of dollars and xis the production (in thousands of units). At what profit level isthe model valid? Hint: Look at the Axis of Symmetry andVertex

A.P = $268.8 million
B.P = $4,515.8 million
C.P = $504 million
D.P = $672 million
E.None of the above


7) Solve for x: x2 - 3x + 2 = 0


A.{-2, -1}
B.{1, 2}
C.{-1, 2}
D.{-2, 1}
E.None of the above



8) Solve for x: x + 3 = 4(3x - 1)

A.7/11
B.5/11
C.-1/11
D.4/11
E.None of the above

9) Simplify: (7ab) / (a2 - b2) - (a - b)/(a + b)

A.(-a2 + 5ab - b2 ) / (a + b)(a - b)
B.(a2 + 5ab - b2 ) / (a + b)(a - b)
C.(a2 + 9ab + b2 ) / (a + b)(a - b)
D.(-a2 + 9ab - b2 ) / (a + b)(a - b)
E. None of the above

10) Solve for x (3/x) + 9/(2x) = 1
A.15/2
B.4
C.1/4
D. No solution
e. None of the above

a steel ball has a diameter of 14.6 cm and weighs 12500grams

(a) calculate the volume of the shere (Volume V= (4/3)piR^2,where R is the radius)

(b) the density (d) of a material is given by the equationd=m/V, where m is mass and V is volume. Using the information givenand your answer to (a), calculate the density of the steel ball

The density of a certain material is such that it weighs 4 kg for every 9 cups of volume. Express this density in ounces per gallon. Round your answer to the nearest whole number.

Note: you must use these exact conversion factors to get this question right. 

Answer: ______ ounces per gallon

the heating element of a clothes dryer has a resistance of 11 ohms and is connected across a 240 volts electrical outlet. what is the current in the heating element

198. What maximum voltage can be applied across the capacitor for very short period of time?

199. What is expected when two 20 kΩ, 1 watt resistor in parallel are use instead of one 10 kΩ, 1 watt?

Nathan has 4 brown teddy bears. 5 pink teddy bears and 3 red teddy bears in his shop. Two teddy bears are drawn without replacement from the shop. What is the probability that both of the teddy bears are brown?

The battery on your phone is almost dead. When you plug it in to charge, you only have 3% battery left.

Suppose that your phone charges at a rate of 2% every minute.

Construct a table of values to show your percent battery charge at 0, 5, 10, and 15 minutes.

The voltage across a 5 μF capacitor is known to be Vfort≥0 , where t is in seconds.

Part B

Find the power at the terminals of the capacitor when t = 185 μs .

Part D

Find the energy stored in the capacitor at t = 185 μs

Part E

Find the time when the maximum energy stored in the capacitor occurs.

Part F

Find the maximum energy stored in the capacitor

Figure 1 shows a network of resistors connected to a voltage source. As shown in the figure, the
network consists of 2 meshes and the values of all the resistors are given. In this question mesh
current analysis is used to find the currents in all the resistors.
(a) Use KVL to write two equations in terms of the two mesh currents, I1 and I2. Do not solve
them in this part. Note only the resistor R3 is shared by both meshes. (5)
(b) Use the two equations derived in part (a) to solve for the mesh currents, I1 and I2. (5)
(c) Find the currents in all five resistors by calculating the branch currents from the mesh
currents. (5)
(d) Calculate the power dissipated in all five resistors and the power delivered by the source.
Show that power is conserved. (5)
(e) Find the Thevenin equivalent circuit (find Vt and Rt) between the two terminals V1 and
ground as shown in Figure 2. Hint – Find the open‐circuit voltage between V1 and ground and
the short circuit current from V1 to ground. (5)
(f) If the value of R3 is varied while all the other components are the same as before, find the
value of R3 which will maximize the power delivered to R3. What is the maximum power
delivered to R3. (5)

Given the Boolean Expression Q = AC . C

i) Simplify the Boolean Expression

ii) Draw the logic circuit

iii) Build truth table which correspond with the expression