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myrzilka [38]
3 years ago
7

Gertrude started an experiment with 15 gummy bears. After 6 days, there were 1,523 gummy bears. Write an exponential function th

at could be used to model the number of gummy bears after x days if the number of gummy bears changes at the same rate. Round to the 4th decimal place (ten thousandth)
y=a*b^x
a=
b=​
Mathematics
1 answer:
Lunna [17]3 years ago
5 0

9514 1404 393

Answer:

  y = 15·2.1599^x

Step-by-step explanation:

We know that the number changed by the ratio 1523/15 = 101.5333... in 6 days, so the daily multiplier is the 6th root of this:

  b = 101.5333...^(1/6) = 2.1599 . . . rounded to 4 dp

Of course, the coefficient 'a' in the equation is the initial number, 15.

Your exponential equation is ...

  y = 15·2.1599^x

  a = 15

  b = 2.1599

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zimovet [89]
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8 0
4 years ago
Christy works in a building that is 880 feet tall. She wants to know the height of the building in miles and write it in decimal
vovangra [49]

Answer: 0.166667 miles

Step-by-step explanation:

8 0
2 years ago
Hey can you please help me with 8 and 10 :)
insens350 [35]
8) So remember the sum of all angles inside a triangle is equal to 180°. We first want to figure out the angle below the 110°.

A straight line is 180° so if we do 180 - 110 we get 70° therefore the angle below the 110° is 70°.

So we now know two angles in the triangle, 70° and 80°. Add these and we get 150°. Now we can determine the final angle (the one labelled (2x - 6)) which will be 30°.

So let’s make it into an equation:

2x - 6 = 30

Add 6 to both sides to isolate 2x:

2x = 36

Divide by 2 to get the value of x:

x = 18



10) Since the sum of all angles in a triangle is 180, and there are only 3 angles, we can determine A easily.

B = 10°
C = 160°

So to determine A:

180 - 160 - 10

Which gives us 10

Therefore A = 10°.


So the answers:

8) x = 18
9) A = 10°


I hope this helps you!!
4 0
3 years ago
Molly measured the diameter of her bike tire and found that it was 2 feet across. She estimated that for every turn of the tire,
natulia [17]

Answer:

Molly's estimation was approximately correct.

Step-by-step explanation:

Given:

Diameter of bike tire = 2 feet

Also Given:

She estimated that for every turn of the tire, the bike traveled about 6 feet.

Estimated Distance traveled  = 6 feet

We need to find that whether her estimation reasonable.

Solution:

Now we know that Distance traveled is equal to Circumference of tire.

Since Tire is in circular shape.

We can say that;

Circumference of the tire will be π times diameter.

framing in equation form we get;

Circumference of the tire = \pi \times 2 = 6.28 \ feet

Now The actual distance traveled is 6.28 feet and Molly estimated as 6 feet.

Hence we can say that Molly's estimation was approximately correct.

5 0
3 years ago
PLEASE HELP I GIVE THANKS
pav-90 [236]
It is (C) because the line is ZERO meaning the line is vertical and since it goes through 5, it is y=5 cuz u always have the formula for slope; y=mx+b and since there is o x intercept you just stick with the y intercept which is 5 so long story short, it is y=5 (c)
5 0
3 years ago
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