One of the Great Pyramids in Egypt has the shape of a square pyramid with the base length of 20 feet, and the height of 150 feet tall. If the stones that were used to build the pyramid had a volume of 40 cubic feet each, how many stones did the Egyptians need to build the pyramid?

Answers

Answer 1
Answer:

Answer:

500

Step-by-step explanation:

Given that:

Shape of one of the Great Pyramids in Egypt is a square pyramid.

Base of pyramid is of square shape with length = 20 feet

Height of pyramid = 150 feet

Volume of each stone used for the construction of the pyramid = 40 cubic feet

To find:

Number of stones used for the construction of the pyramid.

Solution:

First, we need to find the volume of the square pyramid and then we need to divide the volume of pyramid with the volume of one stone used for the construction.

It will give us the number of stones used for the construction of pyramid.

Volume of a pyramid is given as:

V = (1)/(3)* \text{Area of base}* Height

Here, base is a square, so area of base = (Side)^2

V = (1)/(3)* 20^2* 150 = 400* 50 ft^3

Number of stones of 40 cubic feet each, required = (400* 50)/(40) = 500


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A bacteriologist estimates that there are 5.2×10^4 bacteria growing in each of 20 petri dishes. About how many bacteria in total are growing in the petri dishes? Express your answer in scientific notation

Answers

Answer:

1X10^6

or

1.04x10^6

Step-by-step explanation:

You start by multiplying 5.2x10^4 by 20 because there are 20 petri dishes with this amount growing, and you get 1,040,000. Now we need to convert it to scientific notation. We know that 1,000,000 is 10^6, so we would move the decimal to the left 6 places and get 1.04x10^6. This is in scientific notation, but we need to keep in mind significant figures (sig figs), so your final answer would be 1x10^6, if that is not what your instructor is looking for, try 1.04x10^6.

Final answer:

The total amount of bacteria growing in the 20 petri dishes is calculated by multiplying the amount of bacteria in each dish (5.2×10^4) by the number of dishes (20), which gives a result of about 1.04×10^6 bacteria.

Explanation:

Given that there are approximately 5.2×10^4 bacteria in each dish and there are 20 petri dishes, we can find the total amount of bacteria by multiplying these two values together. The calculation is as follows: 5.2×10^4 bacteria/dish * 20 dishes = 1.04×10^6 bacteria. Therefore, there are about 1.04×10^6 bacteria in total growing in the petri dishes.

Learn more about Scientific Notation here:

brainly.com/question/2005529

Dimetri says that a function that is made of terms where the variable is raised only to an odd power will be an odd function. Do you agree with Dimetri? Explain why or why not.

Answers

No, I do not.

Explanation:
Algebraically, an odd function is one where f(-x) = -f(x). This means that if we substitute -x for every x in the function, it should be the same as switching every sign in the function. This does not always work.

For example, if f(x)=x
³+7:
f(-x)=(-x)
³+7=-x³+7.

However, since the 7 did not become -7, it is not the same as -f(x), so it is not an odd function.

Dimetri statement is incorrect, as the function is odd if its greatest degree is odd when the lower terms are ignored.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

As we know,

For even function: f(-x) = f(x)

For odd function: f(-x) = -f(x)

If Dimetri says that, a function that is made of terms where the variable is raised only to an odd power will be an odd function.

The Dimetri statement is incorrect, as the function is odd if its greatest degree is odd when the lower terms are ignored.

Thus, Dimetri statement is incorrect, as the function is odd if its greatest degree is odd when the lower terms are ignored.

Learn more about the function here:

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jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x because each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work:

Answers

Answer:

x = (d+c)/(a - b)

Step-by-step explanation:

Equation: ax – c = bx + d

Jalil says it is not possible to isolate x because  x has a different unknown coefficient.

Victoria t. Victoria believes there is a solution

Solving the equation:

ax-c = bx + d

ax - bx= d+c

(a - b)x = d+c

x = (d+c)/(a - b)

So, this shows x can be isolated .

Victoria was right .

It was not possible to isolate x if the coefficients of x would be same .

But in the given equation the coefficients of x are not same .

So, Victoria is right.

Answer:

A. Rewrite the expression on the left using the distributive property.

Step-by-step explanation:

In the parking lot at Central, there are 21 blue cars and 75 cars total. What is the ratio of blue cars to cars that are not blue in simplest form?

Answers

Answer: The ratio of blue cars to cars that are not blue in simplest form = 7:18

Step-by-step explanation:

Given: There are 21 blue cars and 75 cars total.

Then, number of cars that are not blue = 75 -21 = 54

Now, the ratio of blue cars to cars that are not blue = (21)/(54)=(7)/(18) [Divide numerator and denominator by 3.]

Hence, the ratio of blue cars to cars that are not blue in simplest form = 7:18

Reduce 7y + 2y 2 - 7 by 3 - 4y?

Answers

(7y+2y2−7)(3−4y)

=7y+4y+2y2−7−3

=11y−2y210

Hope this helps


14 Jones downloaded 9 apps onto his tablet in 36 seconds. At this rate, how many apps could hedownload in one minute? (36 seconds=3/5)

Answers