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makkiz [27]
3 years ago
11

A vine maple grows fast when it is planted under the cover of cedar trees. One month after it is planted it has grown 12 inches,

and after eight weeks it had grown 19 inches. Write an equation that models the growth, in inches, of the vine maple as a function of time, in weeks.
Mathematics
1 answer:
Goshia [24]3 years ago
5 0

Answer:

  y = (7/4)(x -4) +12

Step-by-step explanation:

The rate of growth is ...

  (19 in -12 in)/(8 wk -4 wk) = 7/4 in/wk

Using this slope in a point-slope form of the equation for a line, we get ...

  y = m(x -h) +k . . . . . line with slope m through point (h, k)

  y = (7/4)(x -4) +12 . . . . . line with slope 7/4 through the point (4 wk, 12 in)

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A jet travels 4680 miles against the wind in eight hours and 5720 miles in the wind in the same amount of time what is the rate
Kryger [21]

9514 1404 393

Answer:

  • jet: 650 mph
  • wind: 65 mph

Step-by-step explanation:

The speed against the wind is ...

  4680 mi/(8 h) = 585 mi/h

The speed with the wind is ...

  5720 mi/(8 h) = 715 mi/h

The speed of the airplane in still air is the average of these speeds:

  (585 +715)/2 = 650 mi/h . . . speed in still air

The speed of the wind is the difference between the airplane speed and the speed in the wind:

  715 -650 = 65 mi/h . . . speed of the wind

_____

<em>Additional comment</em>

If p and 'a' represent the speeds of the plane and the air, the speeds with and against the wind are ...

  p + a = with

  p - a = against

If we average these, we get ...

  ((p +a) +(p -a))/2 = (with + against)/2

  p = (with + against)/2 . . . . . . . the formula we used above

8 0
3 years ago
Alexis uses toy blocks to build a model of a building. Each toy block is 1 cubic inch. The first three floors of the model are m
SIZIF [17.4K]

Answer:

For the 6 rows of 4 blocks the answer is 24, for the 4 rows of 4 blocks the answer is 16. Then you do 24x16.

Step-by-step explanation:

6 rows of 4 blocks = 6x4=24

4 rows of 4 blocks= 4x4=16

24

x16

___

124

+ 240

_____

 364

So, your answer would be 346 cu in.!! Sorry if I'm wrong!! :(

6 0
3 years ago
Whats the fraction 18/24 reduced to its lowest items?
asambeis [7]
Hello!

\sf Answer:

The fraction 18/24, reduced to its lowest terms, is: \boxed{3/4}
_____________________________

Divide both the numerator and the denominator by the GCD of 18 and 24, which is 6:

18 ÷ 6 = 3

24 ÷ 6 = 4

It's simplest form would be 3/4. This cannot be reduced further.
3 0
3 years ago
at 0700 hours in Washington it is 2100 hours in beijing. What day and time is it in beijing if it is 2100 hours on saturday in w
marta [7]
2100 - 0700 = 1400
In Beijing, it is 14 hour later than in Washington DC.

2100 + 1400 =

Split 1400 into 300 + 1100

2100 + 300 = 2400 = midnight of the next day.

2400 = 0 (midnight)

0 + 1100 = 1100

Answer: 1100 hours Sunday in Beijing
4 0
3 years ago
Read 2 more answers
Which sequence matches the recursive formula? an=2an-1+5, where a1=5. A) 5,10,15,20 B) 5,15,35,75. C)5,15,25,35. D) 5,20,35,40
Dominik [7]

The recursive formula

a_n = 2a_{n-1}+5

means that, to compute the next value, you have to double the previous one and then add 5.

So, we start with 5. To get the second term, we double it and add five, so we have

a_2 = 2\cdot 5+5 = 10+5 = 15

Next, we will double 15 and add 5:

a_3 = 2\cdot 15 + 5 = 30+5 = 35

So, the answer is B, because it's the only option starting with 5,15,35.

Just to check, let's compute the last step:

a_4 = 2\cdot 35 + 5 = 70+5 = 75

Which confirms option B

6 0
3 years ago
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