I included a photo with the information! Here are the questions. A thorough explanation and diagram would help IMMENSELY. Thank you so much!

Question 1: reate a labeled diagram of the Brick. Use x to represent the length of a side of the base of the candle. Then write an equation for the volume of the candle in terms of x. Write the polynomial in standard form.


Question 2: Create a labeled diagram of the Egyptian. Use x to represent the length of a side of the base of the candle. Then write an equation for the volume of the candle in terms of x. Write the polynomial in standard form.

Question 3: 1. To impress management, you decide to propose your own original candle design based on solid figures. Make your candle design attractive and make sure it will be practical to manufacture. Draw the candle in the space below and label the drawing with dimensions. Then write an equation for the volume of the candle in terms of x, where x is a dimension that defines the area of the candle’s base. Write the polynomial in standard form.

The numbers are ordered from least to greatest by first converting them all to decimals, resulting in the order: 8.17, 8.174, 8 7/11 (8.6363), and 173/20 (8.65).

First, we need to convert all the numbers to similar formats, either as decimals or fractions, to compare them accurately. Here's what we have:

Now, we can easily order these from least to greatest:

The correct answer is 3391.2cm^3

Final answer:

To find out how many people are eating cookies, you multiply the total number of people in the bakery, which is 18, by two-ninths. The result is four, meaning four people are eating cookies.

Explanation:

If two-ninths of the eighteen people in the bakery are eating cookies, we need to calculate 2/9 of 18 to find out how many people are eating cookies. This is a basic fraction multiplication problem.

To solve this, we multiply 18 (the total number of people) by the fraction 2/9:

18 × (2/9) = (18 × 2) / 9

18 × 2 = 36

36 / 9 = 4

Therefore, four people in the bakery are eating cookies.

Answer:

your answer is log2 k to the fifth power n to the tenth power over m to the eighth power

Step-by-step explanation:

Answer: The answer is 16 by 32.

Step-by-step explanation:

I took the test and this was correct. Explanation is easy because 12 is 3/4 of 16 and 24 is 3/4 of 32.

If the generic television set is 12 inches by 24 inches, the dimensions of the brand name television is, 16 inches by 32 inches

Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.

Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.

Given that,

Jason considered two similar televisions at a local electronics store

The generic version was three fourths the size of the brand name

The generic television set is 12 inches by 24 inches

The dimensions of the brand name television = ?

Suppose, the dimensions of the brand name are a  inches by b inches

So,

3/4 a   =  12

a   =  16

Similarly,

3/4 b = 24

b  =  32

Hence, the dimensions are 16 inches by 32 inches

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The required price of the paperback book and hardback book is $2.95 and $13.95 respectively.

Given that,
The cost of a paperback book is 11 dollars less than the cost of a hardback book. Recently one day of sales totaled $784.10. That day the bookstore sold 53 paperback books and 45 hardback book.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Let the price of paperback be x and price of hardback books be y,
According to the question,
x = y - 11 - - - (1)
53x + 45y = 784.10 - - - (2)
From equation 1
53 [y - 11] + 45y = 784.10
y = $13.95

Now,
y = 13.95 - 11
y = $2.95

Thus, the required price of the paperback book and hardback book is $2.95 and $13.95 respectively.

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Answer:

Step-by-step explanation:

The problem is about proportions, because we have two parallels line being intercepted by two transversal. So, the proportion would be:

[tex]\frac{x+8}{x}= \frac{x+13}{x+1}[/tex]

Solving for [tex]x[/tex]:

[tex]\frac{x+8}{x}= \frac{x+13}{x+1}\\(x+1)(x+8)=x(x+13)\\x^{2} +8x+x+8=x^{2} +13x\\9x+8=13x\\8=13x-9x\\4x=8\\x=\frac{8}{4}=2[/tex]

Now, to find the length of AC, we just have to use the value found and replace it in the proper expression:

[tex]AC=x+13+x+1=2x+14=2(2)+14=4+14=18[/tex]

Therefore, the length of AC is 18.

0.9 as a percentage is 90 percent.

To convert a decimal to a percentage, you need to multiply the decimal by 100. In this case, 0.9 times 100 equals 90. Therefore, 0.9 as a percentage is 90 percent.

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Final answer:

To find the length of the tightrope between two poles of different heights and a known distance apart in a circus using the Pythagorean theorem.

Explanation:

The length of the tightrope can be calculated using the Pythagorean theorem.

Given:

Using the Pythagorean theorem:

Length of the tightrope = √(36^2 + (25-10)^2)

Length of the tightrope = √(1296 + 225)

Length of the tightrope = √1521

Length of the tightrope = 39 ft

last one. i can do the first part. put x = distance from top of ladder to the floor, y = distance from base of ladder to the wall (draw a picture) then pythagoras sez

calculus says

and you are told that

so you know

or

Final answer:

To calculate the percent yield, the actual yield in moles of potassium permanganate was found to be 4.40 moles from 695.2 g, using the molar mass of KMnO4. Then, the percent yield was calculated using the theoretical yield of 5.00 moles, resulting in 88%.

Therefore, the correct answer is C. 88%

Explanation:

To calculate the percent yield of the reaction, we first need to know the moles of potassium permanganate (KMnO4) that correspond to 695.2 g. We use the molar mass of KMnO4 which is 158.04 g/mol to convert grams to moles.

Actual yield in moles = mass (g) / molar mass (g/mol) = 695.2 g / 158.04 g/mol = 4.40 moles of KMnO4

Now, with the theoretical yield of 5.00 moles, we can find the percent yield using the formula:

Percent yield = (actual yield / theoretical yield) × 100%

Percent yield = (4.40 moles / 5.00 moles) × 100% = 88%

Therefore, the correct answer is C. 88%

Jason started with 72 baseball trading cards. To find out how many baseball trading cards Jason started with, let's break down the information given step by step.

1. Jason bought 8 new baseball trading cards: This implies that Jason's collection increased by 8 cards.

Let's denote the number of cards Jason had before buying the new ones as X . After buying the new cards, Jason would have X + 8 cards.

2. The next day his dog ate half of his collection: If his dog ate half of his collection, this means that the number of cards left after the incident is half of what Jason had before. So, after the dog ate half of the collection, Jason would have [tex]\( \frac{1}{2} \times (X + 8) \)[/tex] cards remaining.

3. There are now only 40 cards left: This information tells us that the number of cards left after the incident is 40. So, we have the equation:

[tex]\[ \frac{1}{2} \times (X + 8) = 40 \][/tex]

Now, let's solve for  X:

[tex]\[ \frac{1}{2} \times (X + 8) = 40 \][/tex]

[tex]\[ X + 8 = 40 \times 2 \][/tex]

X + 8 = 80

X = 80 - 8

X = 72

So, Jason started with 72 baseball trading cards.

To verify, let's check the steps:

1. Jason initially had 72 cards.

2. He bought 8 new cards, totaling 72 + 8 = 80 cards.

3. After his dog ate half of his collection, he was left with [tex]\( \frac{1}{2} \times 80 = 40 \)[/tex] cards, which matches the given information.

Therefore, Jason started with 72 baseball trading cards.

The complete question is:

Jason bought 8 new baseball trading cards to add to his collection. the next day his dog ate half of his collection. there are now only 40 cards left. how many cards did jason start with?