Which of the following is the best approximation of 6 times the positive square root of 42?

we use the relation 1 L=1000 mL and organize our equation in such a way that L cancels as:

Thus, 0.65 L is 650 mL.

The median of the data set is the number that falls in the middle position after arranging the numbers in the data set in the ascending order.

-6, -4, 1, 8, 12

There are 5 numbers in the given data set, therefore the median falls in the third position from either side. Inspecting the data set, 1 fall in the third position, which is the median for the given data set.

we need to find the price of the stock on Thursday.

First, find the price changes in each day of the week as follows:

Monday’s price was $45.32

Tuesday’s price went up by $3.25 from Monday’s price. The price was $(45.32+3.25)=$48.57

Wednesday’s price decreased by $1.73 from Tuesday’s price, and so the price of the stock was $(48.57-1.73)=$46.84

Thursday’s price increased by $0.89 from Wednesday’s price, which was $(46.84+0.89)=$47.73

Therefore, the stock price on Thursday was $47.73.

The scientist found that as water temperature increases, the fish population decreases. This means that the two variables move in opposite directions—when one increases, the other decreases.

This type of relationship is called a negative correlation.

To find the area of the largest circle that can fit entirely inside a rectangle measuring 8 cm by 10 cm, follow these steps:

Step 1: Determine the largest possible circle

• The largest circle that can fit inside the rectangle will have a diameter equal to the smaller side of the rectangle.
• The rectangle has dimensions 8 cm × 10 cm, so the largest possible diameter is 8 cm (since the circle must fit within the rectangle).

Step 2: Find the radius

The radius r is half of the diameter:

r=8/2=4cm

Step 3: Calculate the area of the circle

The area of a circle is given by the formula:

A=πr2 =16πcm2

9/20 is the same as 9 divided by 20, which is evaluated 9÷20. The value becomes 0.45.

Thus, 9/20 is equal to 0.45.

A dependent variable is one that changes when another variable changes. In this case, the cost of the phone will change depending on the change inbrand name, size of the RAM, and size of the battery. Thus, cost of a phone is a dependent variable.

we are asked to find the area of a rectangle, which can only be found by finding the relation between length and width. Now, letting x represent the width, then

Length of rectangle=(x+2)

Width of the rectangle= x

Area of the rectangle, A= Length*width=(x+2)*x

A=x(x+2)

Therefore, the area of the rectangle becomes x(x+2).

The slope represents the ratio of rise to run. Let p be the minimum length of the ramp, we can set a ratio equation as follows. Then,

The minimum length of the ramp needed is 18 feet to access to a door that is 1.5 feet above the sidewalk.

We are tasked to find the unknown values of x in the given equation.

First, we add 8 to both sides of the equation.

Next, we apply the absolute rule:

If   , a>0, then u=a or u=-a

From our resulting equation, a=14, which is greater 0. Then, the first condition (u=a) becomes

Solving for x

The second condition (u= -a) becomes

Solving for x

Thus, the value of x is 4 or -3