Curly used a shovel to dig his own swimming pool. He figured he needed a pool because digging it was hard work, and he could use it to cool off after working on it all day. He also planned to build a rectangular concrete deck around the pool that would be 6 feet wide at all points. The pool is rectangular and measures 14 feet by 40 feet. What is the area of the deck?

The volume of the cube can't equal 15cm ³ because 15 has no cube roots, the volume of the cube equals 15 cm squared.

The volume of a cube is equal to the product of the length, width, and height of a cube.

The volume of a cube is given by the formula as

The volume of a cube =  length × breadth× height

The cube root of a number is the component that we multiply by itself three times to produce that number.

The cube root is denoted by the'∛ ' symbol.

Example: ∛216 = ∛(6 × 6 × 6) = 6.

Here the length of each edge of a cube is x centimeters.

If we write the cube of a number

1³ = 1

2³ = 8

3³ = 27

Now we have a volume of 15 that contains no cube root.

A cube root is also contained in the volume of the cube.

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To determine the height of the bouncing ball at the fourth peak, we recognize a geometric sequence, where each peak's height is two-thirds of the previous peak. Applying this pattern, the height of the fourth peak is found to be 8 feet.

A sequence can be used to determine the height of a bouncing ball when it reaches its fourth peak. You can observe that the heights of the ball at each peak form a sequence, which in this case appears to be decreasing. By analyzing the pattern in the sequence, you can predict the height of the ball at its fourth peak.

A bouncing ball reaches various heights at different peaks which suggests a pattern. To determine the height of the fourth peak, we look at the sequence formed by the heights of the previous peaks. Noticing the pattern, each peak's height is [tex]\frac{2}{3}[/tex] of the previous one.

First peak: 27 feet
Second peak: 18 feet( [tex]27*\frac{2}{3}[/tex])
Third peak: 12 feet ([tex]18*\frac{2}{3}[/tex] )
To find the fourth peak, we continue the pattern:

Fourth peak: 12 feet *[tex]\frac{2}{3}[/tex]  = 8 feet

Therefore, the fourth peak would be 8 feet high. By understanding the geometric sequence, we're able to predict future behavior.

The volume of the solid generated is 218.01 cubic units

The curves are given as:

[tex]y = 9x^3[/tex], y = 9

[tex]x = 0[/tex]

Start by calculating x at [tex]y = 9x^3[/tex]

Substitute 9 for y

[tex]9x^3 = 9[/tex]

Divide both sides by 9

[tex]x^3 = 1[/tex]

Take the cube roots of both sides

[tex]x = 1[/tex]

So, the equation of the volume is then represented as:

[tex]V = \pi \int\limits^a_b {9^2 - (9x^3)^2} \, dx[/tex]

[tex]V = \pi\int\limits^a_b {81 - 81x^6} \, dx[/tex]

Where [a,b] = [1,0]

So, we have:

[tex]V = \pi\int\limits^1_0 {81 - 81x^6} \, dx[/tex]

Factor out 81

[tex]V = 81\pi\int\limits^1_0 {1 - x^6} \, dx[/tex]

Integrate

[tex]V = 81\pi [x - \frac 17x^7]|\limits^1_0[/tex]

Expand

[tex]V = 81\pi ([1 - \frac 17(1)^7] - [0 - \frac 17(0)^7] )[/tex]

[tex]V = 81\pi ([1 - \frac 17] )[/tex]

[tex]V = 81\pi * \frac 67[/tex]

So, we have:

[tex]V = 81 * 3.14 * \frac 67[/tex]

[tex]V = 218.01[/tex]

Hence, the volume of the solid generated is 218.01 cubic units

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Answer:

he missed 5 targets. -75 ÷ -15

Yes, the equation has no answer, I took this and there was no solution. hope this helped

The probability of drawing a green card on both the first and second draw, with replacement, is 25/64, as each draw is an independent event with the same probability of 5/8 for drawing a green card.

The problem is asking us to compute the probability of drawing two green cards in succession, with replacement, from a deck that contains eight cards of which five are green and three are yellow. Since the draws are independent and with replacement, the probability of an event occurring on the first draw is not affected by the second draw, and vice versa.

To calculate the probability of drawing a green card on the first draw, denoted as P(G₁), we look at the number of green cards and the total number of cards. There are 5 green cards out of 8 total cards, so P(G₁) = 5/8.

Because we are replacing the drawn card before the second draw, the probability of drawing a green card on the second draw, denoted as P(G₂), remains the same as for the first draw, thus P(G₂) = 5/8.

The probability of both events happening, denoted as P(G₁ and G₂), is the product of the individual probabilities since the draws are independent. Therefore, we have:

P(G₁ and G₂) = P(G₁) * P(G₂) = (5/8) * (5/8) = 25/64.

Marys need a total of 23/2 yard of fabric for his all windows.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given,

Fabric required in 1 larger window = 3 3/4

⇒  [(4×3)+3] /4 = 15/4

Fabric required in 1 smaller window = 1 1/3

⇒ (3+1)/3 = 4/3

Now,

Mary has 2 larger windows and 3 smaller

So,

Total fabric = 2 Larger + 3 smaller

Total fabric = 2(15/4) + 3(4/3)

Total fabric = 15/2 + 4

Total fabric = 23/2

Hence "Marys need a total of 23/2 yard of fabric for his all windows".

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Answer:

-4/5

Step-by-step explanation:

plug into equation: sin squared + cos squared = 1 and solve

negative bc cos negative in quad III

Answer:

She sent 8 more postcards last week.

Step-by-step explanation:

Consider the provided information.

Megan sent 12 postcards last week. This week she sent 4 postcards.

We need to find How many more postcards did she sent last week?

To find this simply subtract the numbers as shown:

12-4 = 8

Hence, she sent 8 more postcards last week.

Answer:

Each classroom will  receive 2 pounds and 14 ounces of candy .

Step-by-step explanation:

Given that  

Purchased candy= 8 pounds and 10 ounces

First we convert pound into ounces

1 Pound=16 ounces

8 pound = [tex]16\times 8[/tex]

8 pounds= 128 ounces

Now, purchased candy in ounces= 128+10=138 ounces

If we want  to distribute  purchased candy into three calssroom equally

Therefore, we divide purchased candy by 3

Each classroom receive candy= [tex]\frac{138}{3}[/tex]

Each classroom receive candy=46 ounces

Each classroom receive candy in pounds

16 ounces=1 pound

1 ounces=[tex]\frac{1}{16}[/tex] pounds

46 ounces=2 pounds and 14 ounces

Each classroom receive candy=2 pounds and 14 ounces

When markups are based on the selling price, the selling price is seen as 100% since markup is a percentage of the selling price. The cost and markup together make up 100% of the selling price.

When markups are based on the selling price, the selling price can be seen as 100%.

This is because the markup is calculated as a percentage of the selling price rather than the cost of the item.

Assuming that the entire selling price is 100%, the markup portion and the cost portion together make up this 100%.

The cost and markup are represented as percentages of the selling price, so if you know the cost and markup percentages, you can calculate the selling price.

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