How much water is in an empty glass that is 10cm high and has a diameter of 5cm

Response:

12 --> 15

This reflects a 25% rise.

To calculate the increase: New Number - Original Number

15 - 12 = 3

Next, divide the increase by the original number and multiply the result by 100.

3/12 = 1/4 = 0.25 x 100 = 25

Thus, the percentage increase amounts to 25%

To achieve a positive profit p(x)>0, we start with:


Next, we solve for x:


The parameters are:
a = -2
b = 7
c = -3

We will apply the quadratic formula:


This yields two results—one a fraction, the other a whole number. We focus on the whole number since the muffins sold must be a complete unit. Thus we conclude:
x>3

The solution is C. Let’s start by identifying the equations without inequalities. Since there's a dotted line at y = 1, options A and B can be disregarded. Dotted lines indicate exclusivity, so they do not encompass the = sign. Therefore, the answer must be C.

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.