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stiv31 [10]
3 years ago
9

Please help !Suppose that the height in centimeters of a candle is a linear function of them out of time in hours it has been bu

rning after 12 hours of burning a candle has a height of 18.6 cm for 29 hours of running its height is 15.2 cm what was the height of the candle after 16 hours ?
Mathematics
1 answer:
Elan Coil [88]3 years ago
4 0

Answer:

  17.8 cm

Step-by-step explanation:

In the 17 hours between heights of 18.6 cm and 15.2 cm, the candle lost 3.4 cm in height. That is, the height decreased at the rate of ...

  (-3.4 cm)/(17 h) = -0.2 cm/h

In the 4 hours between 12 hours and 16 hours of burning time, the candle will have changed its height by (4 h)(-0.2 cm/h) = -0.8 cm.

The height at 16 hours of burning is then 18.6 cm -0.8 cm = 17.8 cm.

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What is the slop intercept form of a line that passes threw (4,-4) and (8, -10)
BigorU [14]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have two points through which the line passes, so we can find the slope:

(x_ {1}, y_ {1}) :( 4, -4)\\(x_ {2}, y_ {2}) :( 8, -10)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-10 - (- 4)} {8-4} = \frac {-10+ 4} {4} = \frac {-6} {4} = - \frac {3} {2}

Thus, the equation is of the form:

y = - \frac {3} {2} x + b

We substitute one of the points and find "b":

-4 = - \frac {3} {2} (4) + b\\-4 = - \frac {12} {2} + b\\-4 + 6 = b\\b = 2

Finally, the equation is of the form:

y = - \frac {3} {2} +2

ANswer:

y = - \frac {3} {2} +2

4 0
2 years ago
Harry Joodini has insured his home for 85% of its replacement value of $185,000. Use the chart to determine the amount of covera
Reika [66]
Total coverage = 0.85 x 185,000 = $157,250

Coverage for Loss of Use = 0.25 x 157250 = $39,312.50
7 0
3 years ago
Angles A M Y and Y M B form a line. Angles Y M B and B M X form a line. Angles X M A and A M Y form a line. Choose each angle to
ExtremeBDS [4]

Answer:

AMY

BMY

BMX

Step-by-step explanation:

I took the assignment

3 0
2 years ago
Read 2 more answers
For the class of 2013's prom Norman's dress shop sold cheaper dresses for $90 each and more expensive dresses for $140 each. The
Tema [17]

Answer:

Number of cheaper dresses sold  is 35

Number of expensive  dresses sold  is 15

Step-by-step explanation:

Given:

Cost of cheaper dresses = $90

Cost of  expensive dresses = $140

Total cost of  the dresses = $5250

To Find:

Number of cheaper dress = ?

Number of expensive  dress = ?

Solution:

Let

The number of  cheaper dresses be x

The number of  expensive dresses be y

(Number of cheaper dresses X cost of cheap dress) +  (Number of Expensive dresses X cost of  expensive dress)  =  $5250

x \times90 +y \times 140 = 5250=  $5250

It is given that the 20 more of the cheaper dresses than the expensive dresses is sold

So,

number of cheaper dress  =  20  +  number of expensive dress

x = 20 + y---------------------------------------(1)

(20+y) \times90 +y \times 140 = 5250 = 5250

(20 \times 90 +y\times 90) +y \times 140= 5250

1800 + 90y+ 140y = 5250

1800 + 230y = 5250

230y =5250 -1800

230y = 3450

y = \frac{3450}{230}

y = 15

Substituting y in (1)

x = 20 +15

x= 35

5 0
3 years ago
Please help I'm so confused
Inessa [10]
Just look up the name of your worksheet then after the name type in answer key. If that doesn't work just download or search google "desmos calculator" and type in your points. (if you're on a IOS/ a phone or iPad then download the app. if you on a computer or something of that nature then teach it on google)

4 0
2 years ago
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