Which of the following is the best approximation of 3 times the positive square root of 19?

The volume V of a rectangular box can be calculated using the formula:

V=length×width×height

Given:

• Length = 8 metres
• Width = 5 metres
• Height = 3 metres

Now, calculate the volume:

V=8 m×5 m×3 m=120 m3

Thus, the volume of the box is 120 cubic metres.

The correct answer is B. 120 m³.

We need to find the radius of the circle in order to find circumference of the circle. If we let r to be radius of the circle, then

Substituting 169π in place of area

Dividing both sides by pi and taking square root on both sides yields

The radius of the circle from the given area is 13 in. and the circumference of the circle is given by the relation:

Based on the given scenario, the outcome of measuring the daily dollar rate is the decline in investment, stock prices, and forex exchange. The three outcomes are dependent variables while the dollar rate is the independent variable.

A histogram is used to visualize the frequency of a one variable over the other while a line graph is used to compare two variables.

A scatter plot used to show the correlation between two variables.

A pie chart is used to show the proportion of the given information in circle, with each section of a circle representing a given fraction of a whole.

From the given information, a pie chart is an appropriate tool show the frequency of the students choosing their favorite color.

The number of cups of milk to make a bigger batch, we proceed as follows:

First convert the mixed number 1 2/5 as

Then, we let the unknown number of cups of milk to be x and we set a proportion equation with number cups of floor as numerator and cups of milk as denominator

Find the value of x by cross-products

2 as a fraction is 2/1 which is then used to find the product of the numerator as follows.

Per means division. The above equation becomes

When dividing fractions, we multiply the first fraction with the reciprocal of the second. The reciprocal of 2/9 is 9/2. Thus

The numbers of cups of milk required is 63/5, which when converted to mixed fraction becomes 12 3/5.

We are asked to find the number of cups of flour that will be used to make 90 cookies.

First, we convert 2 ¼ into improper fraction as:

Letting x to be the number of cups of flour, we set up a proportion equation with number of cookies on numerator and number of cups of flour on the denominator becomes:

Solve the value of x by cross-products

Dividing both sides by 60, the above equation result to

Thus, the number of cups of flour needed to make 90 cookies is 81/16 cups, which is equal to 5 1/16 cups.

We are tasked to find the stock price on Thursday from the given information. Here, we need to find the stock of each day from the price increase or decrease. If the price increases, we add to the previous day’s price and subtract if the price decreases.

Monday’s stock price=$65.50

Tuesday’s stock price is Monday’s plus $1.50=65.50+1.50=$67.00

Wednesday’s stock price went down by $2.57 from Tuesday’s=67.00-2.57=$64.43

Thursday’s stock price went up by $2.25 from Wednesday’s =64.43+2.25=$66.68

From the above evaluation, the stock price on Thursday was $66.68

To find the greatest number from the given options, convert the decimal numbers into fractions.

6.98 becomes 698/100

9.2 becomes 92/10

The least common denominator for the denominators of 7, 100 and 10 is 700. Now we can multiply each fraction with 700 as follows:

3/7*700=300

698/100*700=4886

10/7*700=1000

92/10*700=6440

In order from the smallest to largest, we organize the number set as follows:

3/7, 10/7, 6.98, 9.2.

Thus, 9.2 is the greatest of all.

We follow the order of operations to solve the given expression. The order of operations is PEMDAS:

• Parentheses
• Exponents
• Multiplication and Division (in order from left to right)
• Addition and Subtraction (in order from left to right)

First, we start with the numerator and solve it as follows

[3(6+5*4)]

We start with multiplication in parenthesis, 5*4=20. The expression becomes

[3(6+20)]

Then, we conduct the addition in parenthesis 6+20=26. Then, the expression becomes

[3(26)]=3*26=78

Now, we solve for denominator, which is 26/2=13.

Thus, the expression is reduced into

The expression reduces into 6.

we find the value of x by applying the absolute conditions to the given equation.

First, add 2 to both sides of equation

The absolute conditions are:

If   , a>0, then u=a or u=-a

In this case a=10, which is greater 0.

The first condition becomes

Add 2 to both sides of the equation

Divide both sides by 4

The second condition becomes

Add 2 to both sides of the equation

Divide both sides by 4

Then, the value of x is 3 or -2.