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3 years ago

What’s the rate of change for this table? Please explain and show your work.

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

4 0

^^^ The rate of change would be 3 because all of them could be divided by three. -6/-2 , -3/-1, 6/2 and so on

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A nutritionist collects data from 25 popular breakfast cereals. For each cereal, the number of calories per serving is plotted o

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Answer:

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There is a positive relationship between calories and sodium. The relationship is strong.

Step-by-step explanation:

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3 years ago

The area of the following rectangle is 6O and^4 square meters and its length is 30 and meters

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Answer:35

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4 years ago

Once each day, Erika tracks the depth of the water in her local creek. Her first nine measurements, in inches, are: 16, 15, 13,

solniwko [45]

Answer:

Median = 13

Step-by-step explanation:

We are given the following data:

16, 15, 13, 12, 17, 14, 11, 9, 11

Formula:

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

Sorted data: 9, 11, 11, 12, 13, 14, 15, 16, 17

Median =

$=\dfrac{9+1}{2}^{th} = 5^{th}\text{ term} = 13$

Thus, the median of the given data is 13.

4 0

3 years ago

Write each expression as an algebraic (nontrigonometric) expression in u, u > 0.

max2010maxim [7]

Answer:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

Step-by-step explanation:

We want to write the trignometric expression:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0$

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

$\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)$

Take the secant of both sides:

$\displaystyle \sec(\theta)=\frac{u}{10}$

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

$\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}$

By substitutition:

$\displaystyle= \sin(2\theta)$

Using an double-angle identity:

$=2\sin(\theta)\cos(\theta)$

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

$\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)$

Simplify. Therefore:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

4 0

3 years ago

Use synthetic division to find (x^2+3x–4)÷(x+4)

Jobisdone [24]

Answer:

X^2-x- 8/x+4

Step-by-step explanation:

X+4 becomes a negative 4

Then multiply -4 by the first number which is 1 so -4×1 is -4. Then subtract -4 by the second number 3. This gives you -1 so multiply that by 4 which is -4. Then subtract 4 from the third number -4. So that'll give you -8. Then add an x-value to every number except the very last number as that number will be you remainder.

7 0

3 years ago

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