Answer:
answer : x= -2

bc the graph of x=1 is just a straight vertical line across the x-axis, so any lines parallel have to go vertically across the x-axis as well. The graph of line that goes through the point (-2,-1) is x=-2

bc the graph of x=1 is just a straight vertical line across the x-axis, so any lines parallel have to go vertically across the x-axis as well. The graph of line that goes through the point (-2,-1) is x=-2

Materials: Tall clear drinking glass or vase At least four of the following liquids: Fresh water Salt water Vegetable oil Rubbing alcohol Dish soap Honey Corn syrup Milk Maple syrup At least three different small items of your choice, such as: Ping pong ball Small screw, bolt, or nut Popcorn kernel Peanut Blueberry Grape Cherry tomato Instructions: Select four liquids and predict how you think they compare in density by ranking them from most dense to least dense in the data table below. Measure out ¼ cup volume of each liquid, and pour them one at a time into the clear glass or vase. Record your observations in the lab worksheet. Gently add the first small item to the liquids, and record your observation of where it settles. Repeat with the other small items. Clean up all lab materials (the liquids can be poured down the sink), and complete the lab worksheet. Data Table: Prediction: Rank the four liquids from lowest density (top) to highest density (bottom) Observation: Rank how the four liquids really compare, from lowest density (top) to highest density (bottom) Observations: What objects did you place in the liquid, and where did each settle? Object Layer where it settled Observations and Conclusions: Define density, and describe how this activity helps you compare the density of four different liquids without making mass measurements. How did the observations compare to your predictions? Did any of the results surprise you? How would the density of water change if you measured out ½ cup instead of ¼ cup? Explain your answer in complete sentences.

PLEASE HELP IF YOU KNOW THIS!!!!!

What does the model predict for 1900?

The opening prices per share Y1 and Y2 of two similar stocks are independent random variables, each with a density function given by

If triangle ABC = triangle DEC what is the value of x?A. 8B. 5C. 4D. 1E. 2

PLEASE HELP IF YOU KNOW THIS!!!!!

What does the model predict for 1900?

The opening prices per share Y1 and Y2 of two similar stocks are independent random variables, each with a density function given by

If triangle ABC = triangle DEC what is the value of x?A. 8B. 5C. 4D. 1E. 2

What is the rate of growth or decay?

What was the initial amount? 120000

What is the function?

What is the population after 10 years? Round to the nearest whole number.

**Answer:**

- Decay Problem.

- Decay rate, r = 0.014
- Initial Amount =120,000

- P(10)=104,220

**Step-by-step explanation:**

The exponential function for growth/decay is given as:

In this problem:

The city's** initial population is 120,000** and it **decreases by 1.4% per year.**

- Since the population decreases, it is a
**Decay Problem.**

- Decay rate, r=1.4% =0.014
- Initial Amount =120,000

Therefore, the function is:

When t=10 years

50/4=12 2/4

Therefore, there will be 2 tiles left over.

Therefore, there will be 2 tiles left over.

**Answer:**

*27 feet for the south wall and 18 feet for the east/west walls*

Maximum area=

**Step-by-step explanation:**

__Optimization__

This is a simple case where an objective function must be minimized or maximized, given some restrictions coming in the form of equations.

The first derivative method will be used to find the values of the parameters that control the objective function and the maximum value of that function.

The office space for Billy-Sean will have the form of a rectangle of dimensions x and y, being x the number of feet for the south wall and y the number of feet for the west wall. The total cost of the space is

C=8x+12y

The budget to build the office space is $432, thus

Solving for y

The area of the office space is

Replacing the value found above

Operating

This is the objective function and must be maximized. Taking its first derivative and equating to 0:

Operating

Solving

Calculating y

Compute the second derivative to ensure it's a maximum

Since it's negative for x positive, the values found are a maximum for the area of the office space, which area is

**Answer:**

The point estimate for the mean is 29.5 miles per gallon and the standard deviation is 5.9

**Step-by-step explanation:**

The formula por the point estimate of the mean is:

And for the standard deviation:

So for the mean:

And for the standard deviation:

**Answer:**

3079144

**Step-by-step explanation:**

**Answer:**

__x = −69__

**Step-by-step explanation:**

**1: Simplify**

−2x−(10)(12)=18

−2x+−120=18

−2x−120=18

**2: Add 120 to both sides**.

−2x−120+120=18+120

−2x = 138

**3: Divide both sides by -2.**

-2x ÷ -2 = 138 ÷ -2

x = −69

**Answer:**

x=-69

**Step-by-step explanation:**