Answer:
29800
Step-by-step explanation:
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A typical stone on the lowest level of the great pyramid in Egypt was a rectangular prism 5 feet long by 5 feet 5 feet high by 6 feet deep and weighted 15 tons. What was the volume of the average stone? How much did one cubic foot of this stone weight?
14/16
The fraction 14/16 in simplest form is 7/8.
To simplify the fraction 14/16, find the greatest common divisor (GCD) of the numerator (14) and the denominator (16) and then divide both the numerator and denominator by the GCD.
Step 1: Find the Greatest Common Divisor (GCD) of 14 and 16.
The divisors of 14 are 1, 2, 7, and 14.
The divisors of 16 are 1, 2, 4, 8, and 16.
The largest number that appears in both lists is 2. Therefore, the GCD of 14 and 16 is 2.
Step 2: Divide both the numerator and denominator by the GCD (which is 2).
14 ÷ 2 = 7
16 ÷ 2 = 8
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To find a fraction's simplest form, you need to find the GCF. The greatest common factor is the largest number that can go into the numerator and the denominator.
We know that 1 is a factor, but let's keep going to make sure. 2 is also a factor.
14/2 = 7
16/2 = 8
Since 14 and 16 are not divisible by 3, 2 is the GCF (we know not to continue dividing).
Therefore, it's simplest form is 7/8.
The rate of increase for the function by using formula and identity are,
⇒
Using formula and identity are,
And,
Given that,
The function is defined as,
⇒
We have to find the rate of increase of the given function.
⇒
Differentiate the function with respect to x,
⇒
Then, we get;
⇒
⇒
Using the identity ,
So, the rate of increase of function is,
⇒
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x^2= 150
Urgent!
The solutions to the mathematical equation x^2 = 150 are x = 12.25 and x = -12.25.
To solve the equation x^2 = 150, we have to find the value of x. The first step is to take the square root of both sides. The square root of x^2 is x, and the square root of 150 equals approximately ±12.25. So, the answer is:
x = ±√150
x = ±12.25
Thus, the solutions for the equation x^2 = 150 are x = 12.25 and x = -12.25.
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Answer:
There can be 9 arrays.
Step-by-step explanation:
We are asked that the number of arrays that Courtney can make with 36 photos.
The dimensions of the possible arrays are
Here, the array with 1 row by 36 columns and 36 rows by 1 column are different. (Answer)
Arrays represent sets of elements in rows and columns. Courtney can make 9 different arrays with her 36 photos: 1x36, 2x18, 3x12, 4x9, 6x6, 9x4, 12x3, 18x2, 36x1.
An array represents a set of elements organized in rows and columns. It is a way to represent multiplication and division. Here, we must determine all possible ways Courtney can arrange her 36 photos.
The possible arrays, or divisions of 36, include:
So, Courtney can make 9 different possible arrays with 36 photos.