All categories

1 year ago

Graph y=0.2x use the graph to find the value of x when y=-2,0,2

Mathematics

1 answer:

KIM [24]1 year ago

6 0

Step-by-step explanation:

y=-2

y=0.2x

y=0.2(-2)

y=-0.4

y=0

y=0.2x

y=0.2(0)

y=0

y=2

y=0.2x

y=0.2(2)

y=0.4

You might be interested in

The heat index I is a measure of how hot it feels when the relative humidity is H (as a percentage) and the actual air temperatu

PSYCHO15rus [73]

Answer:

a) $I(95,50) = 73.19$ degrees

b) $I_{T}(95,50) = -7.73$

Step-by-step explanation:

An approximate formula for the heat index that is valid for (T ,H) near (90, 40) is:

$I(T,H) = 45.33 + 0.6845T + 5.758H - 0.00365T^{2} - 0.1565TH + 0.001HT^{2}$

a) Calculate I at (T ,H) = (95, 50).

$I(95,50) = 45.33 + 0.6845*(95) + 5.758*(50) - 0.00365*(95)^{2} - 0.1565*95*50 + 0.001*50*95^{2} = 73.19$ degrees

(b) Which partial derivative tells us the increase in I per degree increase in T when (T ,H) = (95, 50)? Calculate this partial derivative.

This is the partial derivative of I in function of T, that is $I_{T}(T,H)$ . So

$I(T,H) = 45.33 + 0.6845T + 5.758H - 0.00365T^{2} - 0.1565TH + 0.001HT^{2}$

$I_{T}(T,H) = 0.6845 - 2*0.00365T - 0.1565H + 2*0.001H$

$I_{T}(95,50) = 0.6845 - 2*0.00365*(95) - 0.1565*(50) + 2*0.001(50) = -7.73$

8 0

3 years ago

A grid shows the positions of a subway stop and your house. The subway stop is located at (7, -6) and your house is located at (

Yuri [45]

So the distance between subway stop and house is 19 units

Step-by-step explanation:

The distance formula will be used to calculate the distance between home and subway.

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Here (x1,y1) are the coordinates of first point

and

(x2,y2) are the coordinates of second point

Given

(x1,y1) = (7, -6)

(x2,y2) = (-9,5)

Putting the values in the formula

$d=\sqrt{(-9-7)^2+(5-(-6))^2} \\=\sqrt{(-16)^2+(5+6)^2} \\=\sqrt{256+(11)^2}\\=\sqrt{256+121}\\=\sqrt{377}\\=19.41\ units$

Rounding off to nearest unit gives us 19.

So the distance between subway stop and house is 19 units

Keywords: Distance, distance formula

Learn more about distance at:

#LearnwithBrainly

6 0

2 years ago

This is a pre calculus question that I need help with, serious answer PLEASE and thank you! Will give brainliest.

IRISSAK [1]

The wording of this question is a bit confusing... You can't write a sequence in sigma notation, but rather a series or sum. I think the question is asking you to write the sum of the sequence,

$\dfrac12,\dfrac14,\dfrac18,\ldots,\dfrac1{64}$

which would be

$\dfrac12+\dfrac14+\dfrac18+\cdots+\dfrac1{64}$

in sigma notation.

To do this, notice that the denominator in each term is a power of 2, starting with $2^1=2$ and ending with $2^6=64$ . So in sigma notation, this series is