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Paladinen [302]
4 years ago
11

This graph shows the temperature on a winter night over time.

Mathematics
2 answers:
Alexandra [31]4 years ago
8 0

Answer:

The temperature decreases by 5°F every 1 hour.

Step-by-step explanation:

Let x = Time (h) and y = Temperature (°F). The rate at which the temperature decreases every hour is represented by the slope of the line, that is, m = Δy/Δx.

We have the following ordered-pairs:

  • (0 h, 45 °F)
  • (5 h; 20 °F)

With these values, we can calculate the slope of the line.

m = Δy/Δx = (20 °F - 45°F) / (5 h - 0 h) = -5 °F/h

The temperature decreases by 5°F every 1 hour.

LekaFEV [45]4 years ago
4 0
<h2>Greetings!</h2>

Answer:

Decreases by 5

Step-by-step explanation:

To find the gradient ( or slope ), this finds out how the graph is decreasing or increasing, this can be done by using the following formula:

\frac{y_{2} - y_{1} }{x_{2} - x_{1} }

Where x1 and y1 are in the same coordinate set, plug the values in:

\frac{45 - 20}{0 - 5}

\frac{25}{-5}

= -5

So every hour it decreases by 5.


<h2>Hope this helps!</h2>
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What is the ordered pair solution to the system y= -4x and y=2x+12 ??
german

Answer:

The ordered pair solution is (-2, 8)

Step-by-step explanation:

y = -4x ------ equation 1

y = 2x + 12 ---- equation 2

We solve for x by substitution;

Substituting the value of y into equation 2;

y = 2x + 12

-4x = 2x + 12

-4x -2x = 12

-6x = 12

Divide by -6

x = 12/(-6)

x = -2

From equation 1;

y = -4x

Substituting the value of x;

y = -4×(-2)

y = 8.

PROOF;

y = -4x

8 = -4*(-2)

8 = 8

4 0
4 years ago
The diameter of an insect cell is 1.7 × 10–11 meter. Ariel wants to find the length of the radius of the cell. If she performs t
Juli2301 [7.4K]

Answer:

8.5E-12

Step-by-step explanation:

According to the Question,

Given That, The diameter of an insect cell is 1.7 × 10^-11 meters.

Ariel wants to find the length of the radius of the cell. Radius Is Half of the Diameter.

  • Thus, R = D/2   ⇒  (1.7*10^-11)/2 = 0.85× 10^-11
  • If she performs the calculations on her calculator is 8.5E-12.
6 0
3 years ago
The difference of 15 and x is 12
gulaghasi [49]

Answer:

X is 3

Step-by-step explanation:

15-x=12

X=15-12

X=3

8 0
3 years ago
List the elements of the set of all letters in the word zero
yarga [219]

Answer:

  {z, e, r, o}

Step-by-step explanation:

The letters of "zero" are "z", "e", "r", and "o". The set of letters in the word zero will be the set containing those letters:

  {z, e, r, o}

If you like, you can put them in alphabetical order, though that is not necessary.

  {e, o, r, z}

7 0
3 years ago
True or False? Tell whether the pair of ratios form a proportion. 49/21 and 28/12 Please explain why you chose what you chose​.
mafiozo [28]

Answer:

True, they form a proportion because their cross-multiplication products are equal.

Step-by-step explanation:

\frac{49}{21} =\frac{28}{12} True or False?

If they are a proportion, the products you get from cross-multiplying are the same.

Multiply the left numerator by right denominator:

49 X 12 = 588

Multiply the left denominator by right numerator:

21 X 28 = 588

588 = 588

Therefore it is true, 49/21 and 28/12 form a proportion.

4 0
3 years ago
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