What number is a common denominator for 3/8and1/3

Answer:

17.5

Step-by-step explanation:

70, 80, 85, 90, 95

Median: 85

Lower quartile: 75

Upper quartile: 92.5

Interquartile range: 92.5 - 75 = 17.5

When an expression or a number is raised to the negative exponent, you have to reciprocate the expression or the number.

In this problem, the expression is raised to the power of -2

Therefore, the expression would become like this after reciprocating:

1/ (3x^2) ^2

Simplifying the expression:

1/ 9x^4

There are 24 number of 1/8s are in 3.

A division is a process of splitting a specific amount into equal parts.

We need to find how many 1/8 's are in 3.

To find this we just need to divide three by 1/8.

3/1/8

Three is divided by one by eight.

The whole number is divided by the fraction.

The fractions has numerator and denominator.

When whole number is divide by the fraction the result we get by multiplying the whole number by denominator of the fraction.

3×8/1

24

Hence, there are 24 number of 1/8s are in 3.

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Answer:

ITS 80!!!!

Step-by-step explanation:

To draw the geometric mean in a right triangle, first draw a perpendicular from the right angle to the hypotenuse, creating two smaller triangles. Then use the properties of similar triangles or the Pythagorean theorem to find the geometric mean, which is the length of the perpendicular you drew.

To draw the geometric mean in a right triangle, you can use the following step-by-step method:

The Pythagorean theorem, a² + b² = c², can also be helpful in finding the lengths of the segments on the hypotenuse if they are not given.

Final answer:

While it's not necessary to use the binomial theorem to multiply binomials, it can greatly simplify the process. This theorem is handy for higher powers and in cases where technology tools are not available.

Explanation:

The formulas for special products, like the binomial theorem, are not always necessary for multiplying binomials, but they can simplify the process significantly, especially for higher powers. When multiplying binomials without these formulas, one would have to apply the distributive property multiple times, which can be tedious and prone to error. The binomial theorem provides a direct way to expand binomials raised to a power in a series expansion: (a + b)n = an + n*an-1*b + ... + bn. Utilizing this formula can speed up calculations and help avoid mistakes.

In understanding series expansions, working with exponents, and creating formulas based on logical sense and unit consistency, students can sometimes simplify problems without needing to memorize formulas. However, for complex problems or when working with large exponents, knowing and applying the binomial theorem can be much more efficient.

Moreover, technologies like calculators and computer software often have functions that apply these theorems or carry out the multiplications of binomials, which can make manual calculations unnecessary, provided you have access to these tools. But understanding the underlying principles is important for a strong mathematical foundation.

The Geometric Sequence Formula:

[tex]a_n=a_1r^{n-1}[/tex]

We have:

[tex]a_1=-2,\ a_2=8,\ a_3=-32,\ a_4=128,\ ...[/tex]

[tex]d=\dfrac{a_{n+1}}{a_n}\to d=\dfrac{8}{-2}=-4[/tex]

Substitute:

[tex]a_n=-22\cdot(-4)^{n-1}=-22\cdot(-4)^n\cdot(-4)^{-1}=-22\cdot(-4)^n\cdot\left(-\dfrac{1}{4}\right)=5.5(-4)^n[/tex]

Answer:

Step-by-step explanation:

so the answer would be?????

The value of the given mathematical expression b^2 divided by a+5 when a=-15 and b=-5 is -2.5.

In the given expression, we're asked to evaluate b2 divided by (a + 5), where a = -15 and b = -5. First we substitute the values of a and b into the expression.

So, b2 becomes (-5)2 = 25 and a + 5 becomes -15 + 5 = -10.

Now, substituting these results back into the original expression, we get 25 divided by -10, which equals -2.5.

Therefore, the value of the given expression when a=-15 and b=-5, is -2.5.

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To convert a car's speed from kilometers per hour (x km/h) to meters per second, divide x by 3.6. This is because there are 1,000 meters in a kilometer and 3,600 seconds in an hour, leading to the simple formula: x / 3.6 m/s.

To find the car's speed in meters per second (m/s) when it is traveling at x kilometers per hour (km/h), we need to convert km/h to m/s. There are 1,000 meters in a kilometer and 3,600 seconds in an hour. So, to convert from km/h to m/s, we use the conversion factor 1 km = 1,000 m and 1 hour = 3,600 seconds.

The formula to convert x km/h to m/s is: x \(\times\) 1,000 m / 3,600 s. Simplifying this, we get:

x \(\times\) 1,000 / 3,600 = x / 3.6 m/s.

Therefore, if a car is traveling at x kilometers per hour, its speed in meters per second is x / 3.6 m/s in its simplest form.

The measure of an angle that turns through 3/4 of a complete circle is 270°.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given information in the question,

The angle of the complete circle is 360°.

Then, 3/4 of a complete circle will be,

360 × 3/4 = 270°

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