Can someone help me solve for x?

Answer:

0.67 is closest to .

Step-by-step explanation:

To know if 0.67 is closest to 0, or 1, first you have to express the quantities in decimals and make the subtraction of each quantity, the smallest value will mean the closest value, that is:

1. For 0:

0.67 - 0 = 0.67

2. For :

0.67 - 0.5 = 0.17

3. For 1:

1 - 0.67 = 0.33

As the smallest value is 0.17, it means that 0.67 is closest to .

Okay, in decimals 0 would simply be 0, 1/2 would be 0.50, and 1 would be 1.00

Using these numbers, 0.67 would be closest to 0.50 rather than 0 or 1.00

Therefore, the answer would be 1/2

Answer:

The volume of the box is 33.796 cubic inches

Step-by-step explanation:

Given

See attachment for the base of the prism

Required

The volume of the box

From the attachment, we have:

-- side length of the octagon

The area is then calculated as:

So, we have:

Evaluate the square root

The volume is then calculated as:

The volume of the box is 100 cubic inches.

To find the volume of an octagonal prism, we need to know the area of the base and the height of the prism.

The area of an octagon can be calculated using the following formula:

Area of octagon = 1/2 * apothem * perimeter

where the apothem is the distance from the center of the octagon to one of its sides and the perimeter is the total length of all the sides of the octagon.

In this case, we don't know the apothem or the perimeter of the octagon, so we can't calculate the area of the base using the formula above. However, we can estimate the area of the base by drawing a square inside the octagon and a circle inside the square.

The square will have an area of 16 square inches and the circle will have an area of about 12.5 square inches. Therefore, the area of the octagon is somewhere between 12.5 and 16 square inches.

Since we are estimating the area of the base, we will use the average of 12.5 and 16 square inches, which is 14.25 square inches.

The volume of the box is calculated as follows:

Volume of box = Area of base * Height

Volume of box = 14.25 square inches * 7 inches = 100 cubic inches

Therefore, the volume of the box is 100 cubic inches.

For such more question on volume:

brainly.com/question/463363

#SPJ3

C.  { HH, HT , TH, TT}

Step-by-step explanation:

Sample Space  of any event E is the set of all possible outcomes whenever  that event takes place.

Here, event E : Tossing 2 coins

Now, as we know, when an unbiased coin is tossed,

The total outcomes  = {Head, Tail}

So, when two coins are flipped, the total outcomes are  2 x 2  = 4.

Sample space   =  { Head Head, Head Tail, Tail Head, Tail Tail}

or, S  = { HH, HT , TH, TT}

Answer:

i can't do Graphs well but i am sure this will help

graph of the function f(x) = 2(x-3)f(x)=2(x−3) would generally look like:

The function f(x) = 2(x-3)f(x)=2(x−3) is a linear function in the form of y = mx + by=mx+b, where mm is the slope and bb is the y-intercept.

In this case, the slope mm is 2, which means that for every 1 unit increase in xx, yy will increase by 2 units. The fact that the slope is positive indicates that the graph will slant upwards from left to right.

The term (x-3)(x−3) represents a horizontal shift of the graph. When x = 3x=3, f(x) = 0f(x)=0, which means the graph crosses the y-axis at the point (3, 0).

Putting it all together, you can draw a line that passes through the point (3, 0) and slopes upward at an angle of approximately 45 degrees. The line will get steeper as it moves to the right. This graph represents the linear function f(x) = 2(x-3)f(x)=2(x−3).

Remember, you can use graphing tools or calculators to visualize and draw this function accurately.