Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem.

A cube-shaped bin has an edge length of 34 yard.

What is the volume of the container?

The quadrant of the coordinate graph does point F lie in quadrant IV.

The coordinate system's two axes, the x-axis and the y-axis, constitute a region called a quadrant.

The quadrants are generated when the two axes, the x-axis and the y-axis, cross at a 90-degree angle. These areas include coordinates, or positive and negative values of the x- and y-axes.

The sign notations for four Quadrants is as follows:

Quadrant I :

both x and y positive.

Quadrant II :

x negative and y positive

Quadrant III:

x and y both negative.

Quadrant IV:

x positive and y negative.

As, the point F has coordinates (1,-5) which shows x is positive and y is negative.

So, point F is in quadrant IV.

Learn more about Quadrant here:

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The answer would be 1/12 or 2/12 im not sure.

The correct answer is [tex]\frac{1}{36}[/tex]

To solve this problem, we need to find the probability of drawing the tile numbered 2 from the first bag and the tile numbered 3 from the second bag.

Given:

- Bag 1 contains tiles numbered 1, 2, 3, 4, 5, 6.

- Bag 2 contains tiles numbered 1, 2, 3, 4, 5, 6.

- The desired outcome is drawing tile 2 from Bag 1 and tile 3 from Bag

Step 1: Find the total number of possible outcomes.

Total number of outcomes = Number of tiles in Bag 1 × Number of tiles in Bag 2

Total number of outcomes = 6 × 6 = 36

Step 2: Find the number of favorable outcomes.

Number of favorable outcomes = 1 (drawing tile 2 from Bag 1 and tile 3 from Bag 2)

Step 3: Calculate the probability of the desired outcome.

Probability = Number of favorable outcomes / Total number of outcomes

Probability =[tex]\frac{1}{36}[/tex]

To travel for $12 in a taxi service with an initial fee plus $1.80 per mile, you can travel up to 3 miles.

To determine how far you can travel for $12, you need to consider the initial fee charged by the taxi service and the cost per mile. Let's assume the initial fee is $5. Therefore, you have $12 - $5 = $7 left to spend on miles. Since the cost per mile is $1.80, you can travel $7/$1.80 = 3.89 miles. However, since you cannot travel a fraction of a mile, you can travel up to 3 miles for $12.

Final answer:

Light travels at a speed of 186,000 miles per second. Using repeated addition, we find that in 5 seconds, light travels a total of 930,000 miles.

Explanation:

To calculate how far light travels in 5 seconds, we can use repeated addition. Light travels at a speed of about 186,000 miles per second. If we add this number for each second, five times, we can find the total distance light travels in 5 seconds.

Let's perform the repeated addition:

After 1 second, light has traveled 186,000 miles.

After 2 seconds, light has traveled 186,000 miles + 186,000 miles = 372,000 miles.

After 3 seconds, light has traveled 372,000 miles + 186,000 miles = 558,000 miles.

After 4 seconds, light has traveled 558,000 miles + 186,000 miles = 744,000 miles.

After 5 seconds, light has traveled 744,000 miles + 186,000 miles = 930,000 miles.

Therefore, light travels 930,000 miles in 5 seconds.

The area of the stained glass window is approximately 12.56 square yards. We obtained this by first calculating the radius (2 yards) using the given circumference, then substituting the radius into the formula for the area (πr²).

The area of a circle can be found using the formula A = πr². where A represents the area, r is the radius, and π is a mathematical constant approximately equal to 3.14. First, we should find the radius of the window. The circumference of a circle is given by the formula C = 2πr. If the circumference is known to be 12.56 yards, we can solve for the radius as follows:

Next, we substitute the radius into the area formula: A = π(2)² = 4π = 12.56 square yards.

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Final answer:

To find the volume of a cone-shaped hole with a depth of 3 feet and a base circumference of 44 ft, calculate the radius using the circumference formula, then plug the radius and height into the volume formula to get 154 cubic feet.

Explanation:

The volume of a cone-shaped hole can be calculated using the formula V = (1/3) × π × r² × h, where r is the radius of the base and h is the height of the cone. In this case, the circumference of the base, 44 ft, can be used to find the radius. Given that the radius is 14 ft, and the height is 3 ft, you can substitute these values into the formula to find the volume of the hole.

Calculate the radius: Circumference = 2πr, so r = Circumference / 2π = 44 / 2π = 7 ft.

Calculate the volume: V = (1/3) × 22/7 × 7² × 3 = 154 ft³.

The cost for one Criterion team bike is $2,260, calculated by dividing $11,300 by 5. Therefore, for a dozen bikes, which amounts to 12, the club would have to pay a total of $27,120.

The question involves a simple ratio or unit price problem and can be solved using basic multiplication. If five Criterion team bikes cost $11,300, to find the cost of one bike, divide the total cost by the number of bikes: $11,300 / 5 = $2,260 per bike. Then, to find the cost for a dozen (12) bikes, multiply the cost of one bike by 12: $2,260 x 12 = $27,120. Therefore, the club would have to pay $27,120 for a dozen Criterion team bikes.