Tati suffered severe stroke damage near the rear of both sides of her brain. She is now unable to perceive
If 5 people share 1 2 pound of jelly beans equally, what amount will each person receive?
1/10.
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If y varies inversely as x, and y = 10 as x = 7, find y for the x-value of 10.
Which of the following represents 6 x to the 3 fourths power in radical form?
Answer:
[tex]\\ 6x^{\frac{3}{4}} = 6\sqrt[4]{x^{3}}[/tex]
Step-by-step explanation:
When a number is raised to a rational number like [tex]\\ {\frac{3}{4}}[/tex], that is, a fraction, the denominator represents the index of the radical (or commonly known as the root nth of the radical), and the numerator represents the number to which the radicand (the part of the expression inside the radical sign) is about to be raised.
Looking at [tex]\\ 6x^{\frac{3}{4}}[/tex], the index (root) of the radical is 4 and the numerator raises the value of x to the third power, that is, [tex]\\ x^{3}[/tex]. That explains the answer: six (6) times [tex]\\ \sqrt[4]{x^{3}}[/tex]. The six (6) only multiplies the expression.
Likewise, a radical of index 5, with a radicand [tex]\\ (x + 8)[/tex] raised to the ninth power is represented by [tex]\\ \sqrt[5]{(x + 8)^{9}}[/tex], which is equivalent to [tex]\\ (x+8)^{\frac{9}{5}}[/tex].
By the way, a particular case is when the index is 2, that is, [tex]\\ x^{\frac{1}{2}}[/tex]. Here, the number 2 is omitted from the radical symbol and is represented by [tex]\sqrt{x}[/tex].
Boat takes 3 hours to go 6 miles upstream. it can go 18 miles downstream in the same time. find the rate of the current and the rate of the boat in still water
A small school has 55 students. if 10 of the students are boys what is the ratio of girls to boys
Jessica made 2 pounds of fudge. How many 1/6 -pound servings are in the 2 pounds of fudge?
Using the knowledge of fractions, the number of 1/6-pound servings in 2 pounds of fudge is: 12.
What are Fractions?Fractions are numbers that represent part of a whole number. They have a denominator and a numerator.
The fraction of a pounds servings is given as 1/6.
Therefore, number of 1/6 pound servings in 2 pounds of fudge would be:
2 ÷ 1/6 = 2 × 6/1 = 12.
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A 10 foot ladder reaches a window 8 feet above the ground, how far from the wall is the base of the ladder
To find the distance from the wall to the base of the ladder, use the Pythagorean theorem. The distance is 6 feet.
Explanation:To find the distance from the wall to the base of the ladder, we can use the Pythagorean theorem. The ladder, the ground, and the wall form a right triangle. Let's call the distance from the wall to the base of the ladder x. According to the Pythagorean theorem, the square of the ladder's length (10 feet) is equal to the sum of the squares of the distances from the base of the ladder to the wall (x) and the height of the window (8 feet).
x^2 + 8^2 = 10^2
Simplifying the equation, we get:
x^2 + 64 = 100
Subtracting 64 from both sides:
x^2 = 36
Taking the square root of both sides:
x = 6
Therefore, the distance from the wall to the base of the ladder is 6 feet.
Type the domain and range values for the corresponding variables that make these relations inverses of each other.
Answer:
The domain and range values are a) -3.8 b) -2.6 C) 1.7 D) 4.4 E) 1.0
Step-by-step explanation:
Consider the provided table:
The domain of the function becomes the range of the inverse function and the range of the function becomes the domain of the inverse function.
Now consider Figure 1:
The x value of table 1 becomes the y value of table 2 and the y value of table 1 becomes the x value of table 2.
Therefore, the domain and range values are a) -3.8 b) -2.6 C) 1.7 D) 4.4 E) 1.0