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victus00 [196]
3 years ago
7

Please answer quickly!!!

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
5 0

Answer:

steps \: as \: following

3

7

2

5

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What value of y would make {(-2, 18), (3, y), (6, 6), (-18, 2), (4, 9)} an inverse variation?​
love history [14]

Answer:

The value of "y" the would make the ordered pairs an inverse variation is;

y = 12

Step-by-step explanation:

The given ordered pairs are;

{(-2, 18), (3, y), (6, 6), (-18, 2), (4, 9)}

When a pair of variables, "x" and "y", vary inversely to one another, as the value of one variable increases, the value of the other variable decreases

Mathematically, we have;

y ∝ 1/x

The above relation can be represented as an equation as follows;

y = k/x

Where;

k = The constant of proportionality

Therefore, k = y·x

From the given ordered, we have;

k =  -2 × 18 = -36

k = 6 × 6 = 36

k = -18 × 2 = -36

k = 4 × 9 = 36

Therefore, the value of "k" is made constant as follows;

The inverse variation is y = k/(x × (-1)ⁿ)

Where;

n = The number of the term

Therefore, y = 36/(3 × (-1)²) = 12

y = 12

The given ordered pairs can therefore be written as follows;

{(-2, 18), (3, 12), (6, 6), (-18, 2), (4, 9)}.

7 0
2 years ago
On Melissa's 6th birthday, she gets a $2000 CD that earns 7% interest compounded quarterly. If the CD matures on her 13th birthd
Alexandra [31]

Answer:

A\simeq3250.83

Step-by-step explanation:

The amount formula in compound interest is:

A=P(1+\frac{r}{n} )^{nt}

where:

P = principal amount

r = annual interest

n = number of compounding periods

t = number of years

We already know that:

P = $2000

r = 7\% = \frac{7\%}{100\%}=0.07

t = 7 (number of years from 6th to 13th bday)

n = 4 (quarterly in a year)

Then,

A=2000(1+\frac{0.07}{4} )^{(4)(7)}\\\\A=2000(1+\frac{0.07}{4} )^{28}\\\\A=3250.825792\\\\A\simeq3250.83

8 0
2 years ago
Does the table represent a proportional relationship? Show your work!
wel
Yes, adding going up one every time, 5,6,7,8
4 0
3 years ago
PLEASE HELP WILL GIVE BRAINLY
Bogdan [553]

The mean absolute deviation of the scuba diver’s depth over the entire 25 min is 2.4 meters

<h3>What is mean absolute deviation?</h3>

It is defined as the measure to show the variation in data set in other words between the mean and every data value, the distance known as the MAD.

We have depths of the scuba diver, in meters

{−9, −18, −16, −13, −14}

We know the formula for the mean absolute deviation:

\rm MAD = \dfrac{\sum |x-X|}{n}

Here n is total number of observation

x is the elements in the data set

X is the mean of the data.

n = 5

x = -70/5 = -14

∑|x-X| = 12

MAD = 12/5 = 2.4 meters

Thus, the mean absolute deviation of the scuba diver’s depth over the entire 25 min is 2.4 meters.

Learn more about the mean absolute deviation here:

brainly.com/question/10528201

#SPJ1

6 0
2 years ago
If x-13 = k and k = 3, what is the value of x?
77julia77 [94]

Answer:

x = 16

16 - 13 = 3

***brainliest please

Step-by-step explanation:

5 0
3 years ago
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