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lawyer [7]
3 years ago
6

Hello! Could y’all please explain why this is Decay and not growth?

Mathematics
1 answer:
svetlana [45]3 years ago
3 0

Answer:

This is an Exponential Decay

Step-by-step explanation:

A = 1200(0.85)⁶

The above expression is an Exponential Decay because 0.85 is less than 1

The formula for Exponential Decay

= y = a (1 - r)^t

We equate both equation together

Where

a = 1200

1 - r = 0.85

t = 6

Solving for r

1 - r = 0.85

r = 1 - 0.85

r = 0.15

Converting to Percentage

r = 15% decay rate

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Find the slope of (1,8) and (-1,-4)
aniked [119]

Answer: slope= 6

Slope intercept equation= y= 6x +2

Step-by-step explanation:

Slope formula: (y2 - y1) ÷ (x2 - x1) > (-4-8) ÷ (-1-1) = -12/-2 or 6

Plug slope (-6) and one coordinate into point slope form: y-1=m (x-1)

where m is slope and (1,8) would be (x,y)

Y-8= 6(x-1) > y-8 = 5x -6 > y= 6x +2

3 0
3 years ago
Vidriana rolled a number cube 96 times. Her results are shown in the table, what is the experimental probability of rolling an e
hichkok12 [17]

Answer:

50/96

Step-by-step explanation:

I assume the table is:

\left[\begin{array}{cc}Result&Total\\1&15\\2&13\\3&16\\4&17\\5&15\\6&20\end{array}\right]

Even numbers are 2, 4, and 6.  The total number of times she rolled an even number is 13 + 17 + 20 = 50.

So the probability is 50/96.

7 0
3 years ago
Which expression is equivalent to 2(9 + 7)? (1 point) Select one: a. 18 + 14 b. 18 + 7 c. 11 + 9 d. 11 + 7
Rom4ik [11]

2(9 + 7) = 2*9 + 2*7 = 18 + 14

So it is a.

7 0
3 years ago
Read 2 more answers
Tony used a photocopier to dilate the design for a monorail track system. The figure below shows the design and its photocopy
Darina [25.2K]

Answer:

12 m

Step-by-step explanation:

Given that the design, ABCD, was dilated to get a photocopy, EFGH, a scale factor or ratio was multiplied by the original lengths of the design to get the new measurement of the photocopy.

Thus, we are given the ratio, CD:GH = 2:3.

This means, any of the corresponding lengths of both figures would be in that same ratio.

Using the ratio of the design to the photocopy, 2:3, we can find the length of side EH of the photocopy.

The corresponding side of EH in the design is AD = 8m. Thus, AD to EH = ⅔

\frac{AD}{EH} = \frac{2}{3}

\frac{8}{EH} = \frac{2}{3}

Cross multiply

3*8 = 2*EH

24 = 2*EH

Divide both sides by 2 to make EH the subject of formula

\frac{24}{2} = \frac{2*EH}{2}

12 = EH

The length of side EH = 12 m

5 0
3 years ago
10. Mary drove her car 2,483 miles during a road trip. Now
I am Lyosha [343]

Answer:

83,962

Step-by-step explanation:

You must subtract the miles gained while on the road trip from the miles the car had after the road trip.

86,445-2,483=83,962

5 0
3 years ago
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