Find the solution of 3 times the square root of the quantity of x plus 5 equals negative 9, and determine if it is an extraneous solution.
Answers
Answer: x= 4 is an extraneous solution.
Step-by-step explanation:
Since we have given that
We need to find the extraneous solution.
So, our equation becomes,
Now, we will check that x = 4 is an extraneous solution.
Hence, x= 4 is an extraneous solution.
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Pablo folds a straw into a triangle with side lengths of 4x2 – 3 inches, 4x2 – 2 inches, and 4x2 – 1 inches. The perimeter of the triangle is 12x2 – 6 inches. If x = 1.5, what was the length of the straw before it was folded?
Answers
Lydia wrote3/40 pages of her science report in one minute and her writing rate in pages per minute would be 0.075 in decimal form.
What is the fraction?
A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
What are Arithmetic operations?
Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
We have been given that Lydia spent an hour writing her 4-and-a-half-page science report.
We initially convert an hour into minutes in order to answer this question.
∵ one hour = sixty minutes
Here fraction 4 1/2 which is equal to fraction 9/2 i.e. 4.5 in decimal form
After that, we divided 4 1/2 by 60. The solution is 0.075 in decimal form. That equals 3/40 when expressed as a lowest terms fraction.
Therefore, she wrote 3/40 pages of her science report in one minute.
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Then I divided 4 1/2 into 60. As a decimal, the answer if 0.075. If you convert that into a lowest terms fraction, you get 3/40.
Answers
Answer:
C = 37.68 yards.
Step-by-step explanation:
To find the circumference of a circle, you can use the formula C=2πr, where C is the circumference, π is a constant that is approximately equal to 3.14, and r is the radius. Plugging in the given value of r=6 yards, we get:
C=2×3.14×6
C=37.68
Rounding to the nearest hundredth, the circumference is 37.68 yards.
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8x^6y^5 - 3x^8y^3
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x^6y^3(8y^2) - x^6y^3(3x^2)
x^6y^3(8y^2 - 3x^2)
Answer:
x^6y^3
Step-by-step explanation:
saw this on an assignment
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Final answer:
When a polyhedron with a given volume is dilated by a scale factor, the new volume is calculated by multiplying the original volume by the cube of the scale factor. So, a dilation of a polyhedron with an original volume of 23 cm³ by a scale factor of 1/3 gives a new volume of approximately 2.56 cm³.
Explanation:
In mathematics, a dilation is a transformation that changes the size of a figure without changing its shape. The degree of enlargement or reduction is called the scale factor.
In the question, the original volume of the polyhedron is 23 cm³ and it is dilated by a scale factor of 1/3. However, we need to remember that volume is associated with three dimensions. Therefore, when a polyhedron is dilated, each dimension (length, width, and height) is affected by the scale factor. Thus, to find the new volume, we apply the cube of the scale factor to the original volume.
In this case, the new volume V' would be calculated as: V' = V x (scale factor)³, which gives us V' = 23 cm³ x (1/3)³. Calculating this we get V' = approximately 2.56 cm³.
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