The value will be 4a.
In mathematics, an expression is defined as a set of numbers and mathematical operations that is formed according to rules which is dependent on the context.
equation 1,
equation 2,
Let's assume t=4a,
substituting the value of t in equation1, we get
As we can see we get equation 2 again, therefore, the value will be 4a.
Learn more about the expression:
Answer:
Step-by-step explanation:
Given the function is ........... (1)
Now, we are given that .......... (2)
Now, the left hand side of both the above equations (1) and (2) are similar and the only change is that t is replaced by 4a.
Therefore, the equation (2) can be written as
(Answer)
Since we know that if then , where k is any real value.
John, after throwing 350 completions at a rate of 70%, has attempted 500 passes this year.
The question pertains to percentages, specifically it is asking us to find out how many passes John attempted this year if we know he completed 350 passes which represent 70%. Since 350 passes represent 70% of all the passes he attempted, we can use this information to find 100%, or total attempts. We divide 350 by 70 to find out what 1% represents, which gives us 5. Since 1% is equal to 5 passes, to find out the total (100%), we multiply 5 by 100. Which gives us 500. Therefore, John has attempted 500 passes this year.
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r ≈
cm
Answer:
Step-by-step explanation:
The complete question is
Find the missing dimension of the cylinder. Round your answer to the nearest whole number. Volume = 10,000π in. The radius is 16
A cylinder volume is defined by
Where and .
Replacing given values, we have
Solving for the height, we have
Therefore, the missing value is the height, and it's equal to 746 centimeters, approximately.
To find the missing radius of a cylinder given its volume of 600,000 cm³, we use the formula r = √(V/π) assuming unit height, which upon calculation gives an approximate radius of 437 cm, rounded to the nearest whole number.
To find the missing radius of the cylinder when given the volume, we use the formula for the volume of a cylinder: V = πr²h, where V is the volume, r is the radius, and h is the height of the cylinder. As we are given the volume and need to find the radius (r), we rearrange the formula to solve for r:
r = √(V/πh)
Since the height (h) is not provided in the question itself, we must assume that it is either known or that the cylinder is such that the volume and radius alone are sufficient to determine the missing dimension (possibly a cylinder with unit height). In such a case, the formula simplifies to: r = √(V/π).
Using the provided volume of 600,000 cm³, the calculation would be:
r = √(600,000 cm³/π)
This equation can be input into a calculator to find the numerical value of r. Let's proceed with this:
r ≈ √(600,000 cm³/3.14159)
r ≈ √(191,000)
r ≈ 437 cm
This calculation gives us the approximate value for the radius, rounded to the nearest whole number. However, it is crucial to have the height of the cylinder to make an accurate calculation. In the absence of the height, the solution would need to treat the cylinder as having a unit height or some other given measurement.
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