Amber is trying to solve 3x^2-4x=0 using a graphical method. She therefore starts by drawing the graph of y=3x^2 on a grid she n

Answer:

The amount of ovens that must be produced in a week to earn a $1610 profit is 70.

Step-by-step explanation:

Given:

A small-appliance manufacturer determines the profit P (in dollars) from producing x microwave ovens weekly by the formula:

with 0 ≤ x ≤ 200.

The target profit is $1610

So, set P = 1610, then solve for x:

Multiply both sides by 10:

Next, factor the quadratic:

Solving for x gives:

Since x=230 is outside the domain 0 ≤ x ≤ 200, we discard it.

Hence, the valid solution is x=70.

Therefore, to achieve a $1610 profit, the manufacturer must produce 70 ovens weekly.

Total time taken = 9.0252 *10^12 s. Step-by-step explanation: Data provided: - Distance from Earth to Alpha Centauri: 4.3 light years. - Distance from Earth to Sirius: 8.6 light years. - Probe speed: V = 18.03 km/s. - 1 AU equals 1.58125 x 10^-5 light-years. Objective: Determine the total time the probe has been in motion from leaving Earth to reaching Sirius. Solution: - Journey is tracked for each destination sequentially:                      Earth ------> Alpha Centauri: d_1 = 4.3 light years                      Alpha Centauri ------> Earth: d_2 =4.3 light years                      Earth ------> Sirius: d_3 = 8.6 light years                      Sum of distances = D = 17.2 light years. - Now, we convert the total distance into kilometers (SI units):                             1 AU  ----------> 1.58125 x 10^-5 light-years                             x AU  ----------> 17.2 light years. - By proportions:                              x = 17.2 / (1.58125 x 10^-5) = 1087747.036 AU. Also,                             1 AU  ---------------------> 149597870700 m                              1087747.036 AU  ----> D m. - Using proportions:                              D =  1087747.036*149597870700  = 1.62725*10^17 m. - Finally, applying the speed-distance-time formula:                               Time = Distance traveled (D) / V                               Time = 1.62725*10^17 / (18.03*10^3). Final answer: Time = 9.0252 *10^12 s.

The correct answer is B. No one stood up for her

The song primarily addresses the racism prevalent in our nation. Dylan highlights that the murderer was not penalized initially; he was released on the night of the homicide due to his wealth, and during the trial, he received only a six-month term instead of a meaningful punishment. Hattie Carroll was largely overlooked in this scenario.

Answer:

With the addition of a child, both the family's income and expenses increase. Although the initial expenses might be higher, the financial benefits will manifest over time.

       Short answer: 195
First, you multiply 65 by 3, yielding 195 miles.
Then, multiplying 55 by 2 gives you 110 miles.

By summing both distances, you arrive at 305.
From 500, if you subtract 305, you find =195.