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RideAnS [48]
3 years ago
13

A vine in mr. Jackson’s garden is 3.6 feet long. When it is measured agian, it is 2.1 times as long. How long is the vine

Mathematics
2 answers:
Ket [755]3 years ago
5 0

Take note that the vine was 3.6 ft and now it is 2.1 times as long.

So since is it 2.1 times as long it will be multiplied by 3.6.

3.6(2.1)= 7.56

So it is 7.56 ft long, rounded it is 7.6 ft

IrinaK [193]3 years ago
5 0

The vine is 7.56 feet long.  You have to multiply 3.6 and 2.1

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Find the slope of y=-5+4x
Jobisdone [24]

Answer:

slope = 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 5 + 4x, that is

y = 4x - 5 ← is in slope- intercept form

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8 0
3 years ago
A pan of warm water (46∘ Celsius) was put in a refrigerator. After 15 minutes, the water's temperature was 27∘ C; 15 minutes aft
Cloud [144]

Answer:

The refrigerator was at around 13 ∘C

Step-by-step explanation:

Newton's Law of Cooling:

The rate of change of a body temperature  (amount of heat loss/time of loss) is directly proportional to the difference between its own temperature and the surroundings.

\frac{T(t2)-T(t1)}{t2-t1} = -h (T(t2) - Tenv)

T ⇒ temperature

t ⇒ time

Tenv ⇒refrigerator temperature

\frac{T(t2)-T(t1)}{t2-t1} ⇒ rate of change of he temperature

-h ⇒ constant of proportionality (negative because the temperature is decreasing inside the refrigerator)

We have 3 points:

time (minutes) - Temperature (∘ C)

0 (when the pan was put in the refrigerator) - 46

15 (after 15 minutes) - 27

30 (15 minutes after the first 15 minutes) - 19

\frac{27 - 46}{15 - 0} = -h (27 - Tenv)

\frac{19 - 27}{15 - 0} = -h (19 - Tenv)

Now we have a system of two equations and two variables

\frac{-19}{15} = -h (27 - Tenv)\\ \frac{19}{15} = h (27 - Tenv)\\ \frac{19}{15(27 - Tenv)} = h

\frac{19 - 27}{15 - 0} = -h (19 - Tenv)\\\frac{-8}{15} = -h (19 - Tenv)\\\frac{8}{15} = h (19 - Tenv)\\\frac{8}{15} = \frac{19}{15(27 - Tenv)} (19 - Tenv)\\8(27 - Tenv) = 19 (19 - Tenv)\\216 - 8 Tenv = 361 - 19 Tenv\\19 Tenv - 8 Tenv = 361 - 216\\11 Tenv = 145 \\Tenv = 145/ 11\\Tenv = 13. 18

The refrigerator was at around 13 ∘C

6 0
3 years ago
Graph the line that has a slope of 1/4 and includes the point (0,8)
Alex787 [66]

Step-by-step explanation:

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y = mx + c

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The equation of the following line is:

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3 0
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stiks02 [169]

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The height of the Empire State Building is 318.00 meters. If a stone is dropped from the top of the building, what is the stone'
Sladkaya [172]
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4 years ago
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